From 228b0494143ea8ca65589c6bff557a3434ff77a9 Mon Sep 17 00:00:00 2001
From: WncFht <WncFht@users.noreply.github.com>
Date: Sun, 1 Dec 2024 10:29:47 +0000
Subject: [PATCH] deploy: 60fd03bb73d9c150b013045a1616ed65f0848bfb

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@@ -817,6 +817,13 @@
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+<a class="md-nav__link" href="../../summary/20241125-1201/">
+<span class="md-ellipsis">
+    2024 年第 48 周周结
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+<li class="md-nav__item">
 <a class="md-nav__link" href="../../summary/2024summer_vacation/">
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     2024年高三-大一暑假总结
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@@ -815,6 +815,13 @@
 </a>
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+<a class="md-nav__link" href="summary/20241125-1201/">
+<span class="md-ellipsis">
+    2024 年第 48 周周结
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+</a>
+</li>
+<li class="md-nav__item">
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     2024年高三-大一暑假总结
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@@ -902,8 +909,8 @@ <h1 id="welcome-to-wncs-note">Welcome to wnc's note!<a class="headerlink" href="
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-<p>页面总数：57<br/>
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+总字数：63099<br/>
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 <span id="busuanzi_container_site_uv">访客总人数：<span id="busuanzi_value_site_uv"></span>人<br/>
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@@ -808,6 +808,13 @@
 </a>
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 <li class="md-nav__item">
+<a class="md-nav__link" href="../summary/20241125-1201/">
+<span class="md-ellipsis">
+    2024 年第 48 周周结
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 <a class="md-nav__link" href="../summary/2024summer_vacation/">
 <span class="md-ellipsis">
     2024年高三-大一暑假总结
@@ -815,15 +822,15 @@
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             high school
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diff --git a/search/search_index.json b/search/search_index.json
index ab0c5907..f817554d 100644
--- a/search/search_index.json
+++ b/search/search_index.json
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-{"config":{"lang":["en"],"separator":"[\\s\\u200b\\u3000\\-\u3001\u3002\uff0c\uff0e\uff1f\uff01\uff1b]+","pipeline":["stemmer"]},"docs":[{"location":"","title":"Welcome to wnc's note!","text":"<p> \u7ea6 153 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p> \u670b\u53cb\u4eec! /   \u7ad9\u70b9\u7edf\u8ba1</p> <p>\u9875\u9762\u603b\u6570\uff1a57 \u603b\u5b57\u6570\uff1a62726 \u4ee3\u7801\u5757\u884c\u6570\uff1a13716 \u7f51\u7ad9\u8fd0\u884c\u65f6\u95f4\uff1a \u8bbf\u5ba2\u603b\u4eba\u6570\uff1a\u4eba \u603b\u8bbf\u95ee\u6b21\u6570\uff1a\u6b21"},{"location":"links/","title":"\u53cb\u94fe","text":"<p>Abstract</p> <p>\u670b\u53cb\u4eec\uff01</p> Wnc \u7684\u5496\u5561\u9986 \u6211\u81ea\u5df1\uff01 donotknow DoNotKnow"},{"location":"AI/","title":"Index","text":"<p> \u7ea6 15 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>EECS 498-007</li> <li>\u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5</li> <li>\u52a8\u624b\u5b66\u6df1\u5ea6\u5b66\u4e60</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/","title":"Dive into Deep Learning","text":"<p> \u7ea6 1547 \u4e2a\u5b57  387 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 10 \u5206\u949f</p>"},{"location":"AI/Dive%20into%20Deep%20Learning/#1","title":"1 \u5f15\u8a00","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#2","title":"2 \u9884\u5907\u77e5\u8bc6","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#21","title":"2.1 \u6570\u636e\u64cd\u4f5c","text":"<ul> <li>tensor</li> <li>ndarray (MXNet)</li> <li>Tensor (TensorFlow)</li> </ul> Python<pre><code>x = torch.arrange(12)\nx.shape\nx.numel()\nx.reshape(3, 4)\ntorch.zeros((2, 3, 4))\ntorch.ones((2, 3, 4))\ntorch.randn(3, 4)\n</code></pre> <ul> <li>elementwise\uff1a<ul> <li>+</li> <li>-</li> <li>-</li> <li>/</li> <li>exp ()</li> <li>==</li> </ul> </li> <li>concatenate</li> </ul> Python<pre><code>torch.cat((X, Y), dim = 0) # \u7ad6\u7740\u52a0\ntorch.cat((X, Y), dim = 1) # \u6a2a\u7740\u52a0\nx.sum()\n</code></pre> <ul> <li>broadcasting mechanism<ul> <li>\u590d\u5236\u62d3\u5c55\u5230\u5f62\u72b6\u4e00\u81f4\u540e\u76f8\u52a0</li> </ul> </li> <li>\u7d22\u5f15+\u5207\u7247</li> <li>\u5207\u7247\u4fdd\u6301\u5730\u5740\u4e0d\u53d8\uff1a\u8282\u7701\u5185\u5b58</li> <li>ndarry &lt;-&gt; Tensor</li> <li>item ()</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#22","title":"2.2 \u6570\u636e\u9884\u5904\u7406","text":"<ul> <li>pandas</li> <li>read_csv ()</li> <li>NaN<ul> <li>fillna (inputs.mean ())</li> <li>np.array (inputs. to_numpy (dtype = float))</li> </ul> </li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#23","title":"2.3 \u7ebf\u6027\u4ee3\u6570","text":"<ul> <li>scalar</li> <li>variable</li> <li>space</li> <li>element / component</li> <li>dimension <ul> <li>len ()</li> <li>shape</li> </ul> </li> <li>square matrix</li> <li>transpose<ul> <li>A.T</li> </ul> </li> <li>symmetric matrix<ul> <li>A == A.T</li> </ul> </li> <li>channel</li> <li>Hadamard product</li> </ul> \\[ \\begin{split}\\mathbf{A} \\odot \\mathbf{B} = \\begin{bmatrix} a_{11}  b_{11} &amp; a_{12}  b_{12} &amp; \\dots  &amp; a_{1n}  b_{1n} \\\\ a_{21}  b_{21} &amp; a_{22}  b_{22} &amp; \\dots  &amp; a_{2n}  b_{2n} \\\\ \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\ a_{m1}  b_{m1} &amp; a_{m2}  b_{m2} &amp; \\dots  &amp; a_{mn}  b_{mn} \\end{bmatrix}.\\end{split} \\] <ul> <li>A.sum (axis = 0) # \u7ad6\u7740\u6c42\u548c</li> <li>A.sum (axis = [0, 1]) = A.sum ()</li> <li>A.mean () = A.sum () / A.size ()</li> <li>A.cumsum (axis = 0)</li> <li>dot product<ul> <li>torch.dot (x, y) = torch.sum (x * y)</li> <li>weighted average</li> </ul> </li> <li>matrix-vector product<ul> <li>torch.mv (A, x)</li> </ul> </li> <li>matrix-matric multiplication<ul> <li>torch.mm (A, B)</li> </ul> </li> <li>norm<ol> <li>\\(f(\\alpha \\mathbf{x}) = |\\alpha| f(\\mathbf{x}).\\)</li> <li>\\((\\mathbf{x} + \\mathbf{y}) \\leq f(\\mathbf{x}) + f(\\mathbf{y}).\\)</li> <li>\\(f(\\mathbf{x}) \\geq 0.\\)</li> </ol> </li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#24","title":"2.4 \u5fae\u79ef\u5206","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#241","title":"2.4.1 \u5bfc\u6570\u548c\u5fae\u5206","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#242","title":"2.4.2 \u504f\u5bfc\u6570","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#243","title":"2.4.3 \u68af\u5ea6","text":"\\[ \\nabla_{\\mathbf{x}} f(\\mathbf{x}) = \\bigg[\\frac{\\partial f(\\mathbf{x})}{\\partial x_1}, \\frac{\\partial f(\\mathbf{x})}{\\partial x_2}, \\ldots, \\frac{\\partial f(\\mathbf{x})}{\\partial x_n}\\bigg]^\\top, \\] \\[ \\nabla_{\\mathbf{x}} \\mathbf{A} \\mathbf{x} = \\mathbf{A}^\\top \\] \\[ \\nabla_{\\mathbf{x}} \\mathbf{x}^\\top \\mathbf{A} = \\mathbf{A} \\] \\[ \\nabla_{\\mathbf{x}} \\mathbf{x}^\\top \\mathbf{A} \\mathbf{x} = (\\mathbf{A} + \\mathbf{A}^\\top)\\mathbf{x} \\] \\[ \\nabla_{\\mathbf{x}} \\|\\mathbf{x} \\|^2 = \\nabla_{\\mathbf{x}} \\mathbf{x}^\\top \\mathbf{x} = 2\\mathbf{x} \\] \\[ \\nabla_{\\mathbf{X}} \\|\\mathbf{X} \\|_F^2 = 2\\mathbf{X} \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#244","title":"2.4.4 \u94fe\u5f0f\u6cd5\u5219","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#245","title":"2.4.5 \u5c0f\u7ed3","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#25-automatic-differentiation","title":"2.5 \u81ea\u52a8\u5fae\u5206\uff08automatic differentiation\uff09","text":"<ul> <li>computational graph</li> <li>backpropagate</li> </ul> Python<pre><code>x.requires_grad_(True)  # \u7b49\u4ef7\u4e8ex=torch.arange(4.0,requires_grad=True)\nx.grad  # \u9ed8\u8ba4\u503c\u662fNone\ny = 2 * torch.dot(x, x)\ny.backward()\nx.grad\nx.grad == 4 * x\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#251","title":"2.5.1 \u975e\u6807\u91cf\u53d8\u91cf\u7684\u53cd\u5411\u4f20\u64ad","text":"Python<pre><code># \u5bf9\u975e\u6807\u91cf\u8c03\u7528backward\u9700\u8981\u4f20\u5165\u4e00\u4e2agradient\u53c2\u6570\uff0c\u8be5\u53c2\u6570\u6307\u5b9a\u5fae\u5206\u51fd\u6570\u5173\u4e8eself\u7684\u68af\u5ea6\u3002\n# \u672c\u4f8b\u53ea\u60f3\u6c42\u504f\u5bfc\u6570\u7684\u548c\uff0c\u6240\u4ee5\u4f20\u9012\u4e00\u4e2a1\u7684\u68af\u5ea6\u662f\u5408\u9002\u7684\nx.grad.zero_()\ny = x * x\n# \u7b49\u4ef7\u4e8ey.backward(torch.ones(len(x)))\ny.sum().backward()\nx.grad\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#252","title":"2.5.2 \u5206\u79bb\u8ba1\u7b97","text":"Python<pre><code>x.grad.zero_()\ny = x * x\nu = y.detach()\nz = u * x\n\nz.sum().backward()\nx.grad == u\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#26","title":"2.6 \u6982\u7387","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#261","title":"2.6.1 \u57fa\u672c\u6982\u7387\u8bba","text":"<ul> <li>sampling</li> <li>distribution</li> <li>multinomial distribution</li> </ul> Python<pre><code>fair_probs = torch.ones([6]) / 6\nmultinomial.Multinomial(10, fair_probs).sample() # \u591a\u4e2a\u6837\u672c\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#262","title":"2.6.2 \u5904\u7406\u591a\u4e2a\u968f\u673a\u53d8\u91cf","text":"<ul> <li>joint probability</li> <li>conditional probability</li> <li>Bayes\u2019 theorem</li> </ul> \\[ P(A \\mid B) = \\frac{P(B \\mid A) P(A)}{P(B)}.  \\] <ul> <li>\u5176\u4e2d P (A, B) \u662f\u4e00\u4e2a\u8054\u5408\u5206\u5e03 (joint distribution)\uff0c\u00a0P (A\u2223B) \u662f\u4e00\u4e2a\u6761\u4ef6\u5206\u5e03 (conditional distribution)</li> <li>marginalization<ul> <li>marginal probability</li> <li>marginal distribution</li> </ul> </li> <li>conditionally independent</li> </ul> <p>$$  P(A, B \\mid C) = P(A \\mid C)P(B \\mid C)  $$</p> \\[ A \\perp B \\mid C  \\] <ul> <li>expectation</li> </ul> \\[ E[X] = \\sum_{x} x P(X = x).  \\] \\[ E_{x \\sim P}[f(x)] = \\sum_x f(x) P(x).  \\] <ul> <li>standard deviation</li> </ul> \\[ \\mathrm{Var}[X] = E\\left[(X - E[X])^2\\right] = E[X^2] - E[X]^2.  \\] \\[ \\mathrm{Var}[f(x)] = E\\left[\\left(f(x) - E[f(x)]\\right)^2\\right].  \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#3","title":"3 \u7ebf\u6027\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#31","title":"3.1 \u7ebf\u6027\u56de\u5f52","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#311","title":"3.1.1 \u7ebf\u6027\u56de\u5f52\u7684\u57fa\u672c\u5143\u7d20","text":"<ul> <li>regression</li> <li>prediction / inference</li> <li>training set</li> <li>sample / data point / data instance</li> <li>label / target</li> <li>feature / covariate</li> </ul> \\[ \\mathrm{price} = w_{\\mathrm{area}} \\cdot \\mathrm{area} + w_{\\mathrm{age}} \\cdot \\mathrm{age} + b.  \\] <ul> <li>weight</li> <li>bias / offset / intercept</li> <li>affine transformation<ul> <li>linear transformation</li> <li>translation</li> </ul> </li> <li>model parameters</li> <li>loss function</li> </ul> \\[ l^{(i)}(\\mathbf{w}, b) = \\frac{1}{2} \\left(\\hat{y}^{(i)} - y^{(i)}\\right)^2. \\] \\[ L(\\mathbf{w}, b) =\\frac{1}{n}\\sum_{i=1}^n l^{(i)}(\\mathbf{w}, b) =\\frac{1}{n} \\sum_{i=1}^n \\frac{1}{2}\\left(\\mathbf{w}^\\top \\mathbf{x}^{(i)} + b - y^{(i)}\\right)^2. \\] \\[ \\mathbf{w}^*, b^* = \\operatorname*{argmin}_{\\mathbf{w}, b}\\  L(\\mathbf{w}, b). \\] \\[ \\mathbf{w}^{*} = (\\mathbf X^\\top \\mathbf X)^{-1}\\mathbf X^\\top \\mathbf{y}. \\] <ul> <li>analytical solution</li> <li>gradient descent<ul> <li>minibatch stochastic gradient descent</li> </ul> </li> </ul> \\[ (\\mathbf{w},b) \\leftarrow (\\mathbf{w},b) - \\frac{\\eta}{|\\mathcal{B}|} \\sum_{i \\in \\mathcal{B}} \\partial_{(\\mathbf{w},b)} l^{(i)}(\\mathbf{w},b). \\] <ol> <li>\u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\u7684\u503c\uff0c\u5982\u968f\u673a\u521d\u59cb\u5316</li> <li>\u4ece\u6570\u636e\u96c6\u4e2d\u968f\u673a\u62bd\u53d6\u5c0f\u6279\u91cf\u6837\u672c\u4e14\u5728\u8d1f\u68af\u5ea6\u7684\u65b9\u5411\u4e0a\u66f4\u65b0\u53c2\u6570\uff0c\u5e76\u4e0d\u65ad\u8fed\u4ee3\u8fd9\u4e00\u6b65\u9aa4 - hyperparameter<ul> <li>\\(|\\mathcal{B}|\\): batch size</li> <li>\\(\\eta\\): learning rate</li> <li>hyperparameter tuning</li> <li>validationg dataset</li> <li>generalization</li> </ul> </li> </ol>"},{"location":"AI/Dive%20into%20Deep%20Learning/#312","title":"3.1.2 \u77e2\u91cf\u5316\u52a0\u901f","text":"<ul> <li>\u77e2\u91cf\u5316\u4ee3\u7801</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#313","title":"3.1.3 \u6b63\u6001\u5206\u5e03\u4e0e\u5e73\u65b9\u635f\u5931","text":"<ul> <li>normal distribution / Gaussian distribution</li> </ul> \\[ p(x) = \\frac{1}{\\sqrt{2 \\pi \\sigma^2}} \\exp\\left(-\\frac{1}{2 \\sigma^2} (x - \\mu)^2\\right). \\] \\[ y = \\mathbf{w}^\\top \\mathbf{x} + b + \\epsilon, \\] <ul> <li>\u5176\u4e2d \\(\\epsilon \\sim \\mathcal{N}(0, \\sigma^2)\\). \u56e0\u6b64 y \u7684 likelihood:</li> </ul> \\[ P(y \\mid \\mathbf{x}) = \\frac{1}{\\sqrt{2 \\pi \\sigma^2}} \\exp\\left(-\\frac{1}{2 \\sigma^2} (y - \\mathbf{w}^\\top \\mathbf{x} - b)^2\\right). \\] \\[ P(\\mathbf y \\mid \\mathbf X) = \\prod_{i=1}^{n} p(y^{(i)}|\\mathbf{x}^{(i)}). \\] \\[ -\\log P(\\mathbf y \\mid \\mathbf X) = \\sum_{i=1}^n \\frac{1}{2} \\log(2 \\pi \\sigma^2) + \\frac{1}{2 \\sigma^2} \\left(y^{(i)} - \\mathbf{w}^\\top \\mathbf{x}^{(i)} - b\\right)^2. \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#314","title":"3.1.4 \u4ece\u7ebf\u6027\u56de\u5f52\u5230\u795e\u7ecf\u7f51\u7edc","text":"<ul> <li>feature dimensionality</li> <li>fully-connected layer / dense layer</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#32","title":"3.2 \u7ebf\u6027\u56de\u5f52\u7684\u4ece\u96f6\u5f00\u59cb\u5b9e\u73b0","text":"Python<pre><code>%matplotlib inline\nimport random\nimport torch\nfrom d2l import torch as d2l\ndef synthetic_data(w, b, num_examples):  #@save\n    \"\"\"\u751f\u6210y=Xw+b+\u566a\u58f0\"\"\"\n    X = torch.normal(0, 1, (num_examples, len(w)))\n    y = torch.matmul(X, w) + b\n    y += torch.normal(0, 0.01, y.shape)\n    return X, y.reshape((-1, 1))\n\ntrue_w = torch.tensor([2, -3.4])\ntrue_b = 4.2\nfeatures, labels = synthetic_data(true_w, true_b, 1000)\n\ndef data_iter(batch_size, features, labels):\n    num_examples = len(features)\n    indices = list(range(num_examples))\n    # \u8fd9\u4e9b\u6837\u672c\u662f\u968f\u673a\u8bfb\u53d6\u7684\uff0c\u6ca1\u6709\u7279\u5b9a\u7684\u987a\u5e8f\n    random.shuffle(indices)\n    for i in range(0, num_examples, batch_size):\n        batch_indices = torch.tensor(\n            indices[i: min(i + batch_size, num_examples)])\n        yield features[batch_indices], labels[batch_indices]\n\nw = torch.normal(0, 0.01, size=(2,1), requires_grad=True)\nb = torch.zeros(1, requires_grad=True)\n\ndef linreg(X, w, b):  #@save\n    \"\"\"\u7ebf\u6027\u56de\u5f52\u6a21\u578b\"\"\"\n    return torch.matmul(X, w) + b\n\ndef squared_loss(y_hat, y):  #@save\n    \"\"\"\u5747\u65b9\u635f\u5931\"\"\"\n    return (y_hat - y.reshape(y_hat.shape)) ** 2 / 2\n\ndef sgd(params, lr, batch_size):  #@save\n    \"\"\"\u5c0f\u6279\u91cf\u968f\u673a\u68af\u5ea6\u4e0b\u964d\"\"\"\n    with torch.no_grad():\n        for param in params:\n            param -= lr * param.grad / batch_size\n            param.grad.zero_()\n\nlr = 0.03\nnum_epochs = 3\nnet = linreg\nloss = squared_loss\n\nfor epoch in range(num_epochs):\n    for X, y in data_iter(batch_size, features, labels):\n        l = loss(net(X, w, b), y)  # X\u548cy\u7684\u5c0f\u6279\u91cf\u635f\u5931\n        # \u56e0\u4e3al\u5f62\u72b6\u662f(batch_size,1)\uff0c\u800c\u4e0d\u662f\u4e00\u4e2a\u6807\u91cf\u3002l\u4e2d\u7684\u6240\u6709\u5143\u7d20\u88ab\u52a0\u5230\u4e00\u8d77\uff0c\n        # \u5e76\u4ee5\u6b64\u8ba1\u7b97\u5173\u4e8e[w,b]\u7684\u68af\u5ea6\n        l.sum().backward()\n        sgd([w, b], lr, batch_size)  # \u4f7f\u7528\u53c2\u6570\u7684\u68af\u5ea6\u66f4\u65b0\u53c2\u6570\n    with torch.no_grad():\n        train_l = loss(net(features, w, b), labels)\n        print(f'epoch {epoch + 1}, loss {float(train_l.mean()):f}')\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#33","title":"3.3 \u7ebf\u6027\u56de\u5f52\u7684\u7b80\u6d01\u5b9e\u73b0","text":"Python<pre><code>import numpy as np\nimport torch\nfrom torch.utils import data\nfrom d2l import torch as d2l\n\ntrue_w = torch.tensor([2, -3.4])\ntrue_b = 4.2\nfeatures, labels = d2l.synthetic_data(true_w, true_b, 1000) # \u751f\u6210\u6570\u636e\u96c6\n\ndef load_array(data_arrays, batch_size, is_train=True):  #@save\n    \"\"\"\u6784\u9020\u4e00\u4e2aPyTorch\u6570\u636e\u8fed\u4ee3\u5668\"\"\"\n    dataset = data.TensorDataset(*data_arrays)\n    return data.DataLoader(dataset, batch_size, shuffle=is_train)\n\nbatch_size = 10\ndata_iter = load_array((features, labels), batch_size) # \u8bfb\u53d6\u6570\u636e\u96c6\n\n# nn\u662f\u795e\u7ecf\u7f51\u7edc\u7684\u7f29\u5199\nfrom torch import nn\n\nnet = nn.Sequential(nn.Linear(2, 1)) # \u5b9a\u4e49\u6a21\u578b \uff08\u8f93\u5165\uff0c\u8f93\u51fa\uff09\u7279\u5f81\u5f62\u72b6\nnet[0].weight.data.normal_(0, 0.01)\nnet[0].bias.data.fill_(0) # \u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\nloss = nn.MSELoss() # \u5b9a\u4e49\u635f\u5931\u51fd\u6570\ntrainer = torch.optim.SGD(net.parameters(), lr=0.03) # \u5b9a\u4e49\u4f18\u5316\u7b97\u6cd5\n\n# \u8bad\u7ec3\nnum_epochs = 3\nfor epoch in range(num_epochs):\n    for X, y in data_iter:\n        l = loss(net(X) ,y)\n        trainer.zero_grad()\n        l.backward()\n        trainer.step()\n    l = loss(net(features), labels)\n    print(f'epoch {epoch + 1}, loss {l:f}')\n\nw = net[0].weight.data\nprint('w\u7684\u4f30\u8ba1\u8bef\u5dee\uff1a', true_w - w.reshape(true_w.shape))\nb = net[0].bias.data\nprint('b\u7684\u4f30\u8ba1\u8bef\u5dee\uff1a', true_b - b)\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#34-softmax","title":"3.4 softmax \u56de\u5f52","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#341","title":"3.4.1 \u5206\u7c7b\u95ee\u9898","text":"<ul> <li>one-hot encoding</li> </ul> \\[ y \\in \\{(1, 0, 0), (0, 1, 0), (0, 0, 1)\\}. \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#342","title":"3.4.2 \u7f51\u7edc\u67b6\u6784","text":"<ul> <li>affine function</li> <li>logit</li> </ul> \\[ \\begin{split}\\begin{aligned} o_1 &amp;= x_1 w_{11} + x_2 w_{12} + x_3 w_{13} + x_4 w_{14} + b_1,\\\\ o_2 &amp;= x_1 w_{21} + x_2 w_{22} + x_3 w_{23} + x_4 w_{24} + b_2,\\\\ o_3 &amp;= x_1 w_{31} + x_2 w_{32} + x_3 w_{33} + x_4 w_{34} + b_3. \\end{aligned}\\end{split} \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#343","title":"3.4.3 \u5168\u8fde\u63a5\u5c42\u7684\u53c2\u6570\u5f00\u9500","text":"<ul> <li>\u4e0d\u77e5\u9053\u662f\u4ec0\u4e48\u4e1c\u897f</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#344-softmax","title":"3.4.4 softmax \u8fd0\u7b97","text":"<ul> <li>calibration</li> <li>choice model</li> </ul> \\[ \\hat{\\mathbf{y}} = \\mathrm{softmax}(\\mathbf{o})\\quad \\text{\u5176\u4e2d}\\quad \\hat{y}_j = \\frac{\\exp(o_j)}{\\sum_k \\exp(o_k)} \\] \\[ \\operatorname*{argmax}_j \\hat y_j = \\operatorname*{argmax}_j o_j. \\] <ul> <li>linear model</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#345","title":"3.4.5 \u5c0f\u6279\u6837\u672c\u7684\u77e2\u91cf\u5316","text":"\\[ \\begin{split}\\begin{aligned} \\mathbf{O} &amp;= \\mathbf{X} \\mathbf{W} + \\mathbf{b}, \\\\ \\hat{\\mathbf{Y}} &amp; = \\mathrm{softmax}(\\mathbf{O}). \\end{aligned}\\end{split} \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#346","title":"3.4.6 \u635f\u5931\u51fd\u6570","text":"\\[ P(\\mathbf{Y} \\mid \\mathbf{X}) = \\prod_{i=1}^n P(\\mathbf{y}^{(i)} \\mid \\mathbf{x}^{(i)}). \\] \\[ -\\log P(\\mathbf{Y} \\mid \\mathbf{X}) = \\sum_{i=1}^n -\\log P(\\mathbf{y}^{(i)} \\mid \\mathbf{x}^{(i)}) = \\sum_{i=1}^n l(\\mathbf{y}^{(i)}, \\hat{\\mathbf{y}}^{(i)}), \\] \\[ l(\\mathbf{y}, \\hat{\\mathbf{y}}) = - \\sum_{j=1}^q y_j \\log \\hat{y}_j. \\] <ul> <li>cross-entropy loss</li> </ul> \\[ \\begin{split}\\begin{aligned} l(\\mathbf{y}, \\hat{\\mathbf{y}}) &amp;=  - \\sum_{j=1}^q y_j \\log \\frac{\\exp(o_j)}{\\sum_{k=1}^q \\exp(o_k)} \\\\ &amp;= \\sum_{j=1}^q y_j \\log \\sum_{k=1}^q \\exp(o_k) - \\sum_{j=1}^q y_j o_j\\\\ &amp;= \\log \\sum_{k=1}^q \\exp(o_k) - \\sum_{j=1}^q y_j o_j. \\end{aligned}\\end{split} \\] \\[ \\partial_{o_j} l(\\mathbf{y}, \\hat{\\mathbf{y}}) = \\frac{\\exp(o_j)}{\\sum_{k=1}^q \\exp(o_k)} - y_j = \\mathrm{softmax}(\\mathbf{o})_j - y_j. \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#347","title":"3.4.7 \u4fe1\u606f\u8bba\u57fa\u7840","text":"<ul> <li>information theory</li> <li>entropy</li> </ul> \\[ H[P] = \\sum_j - P(j) \\log P(j). \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#348","title":"3.4.8 \u6a21\u578b\u9884\u6d4b\u548c\u8bc4\u4f30","text":"<ul> <li>accuracy</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#35","title":"3.5 \u56fe\u50cf\u5206\u7c7b\u6570\u636e\u96c6","text":"Python<pre><code>%matplotlib inline\nimport torch\nimport torchvision\nfrom torch.utils import data\nfrom torchvision import transforms\nfrom d2l import torch as d2l\n\nd2l.use_svg_display()\n\n# \u901a\u8fc7ToTensor\u5b9e\u4f8b\u5c06\u56fe\u50cf\u6570\u636e\u4ecePIL\u7c7b\u578b\u53d8\u6362\u621032\u4f4d\u6d6e\u70b9\u6570\u683c\u5f0f\uff0c\n# \u5e76\u9664\u4ee5255\u4f7f\u5f97\u6240\u6709\u50cf\u7d20\u7684\u6570\u503c\u5747\u57280\uff5e1\u4e4b\u95f4\ntrans = transforms.ToTensor()\nmnist_train = torchvision.datasets.FashionMNIST(\n    root=\"../data\", train=True, transform=trans, download=True)\nmnist_test = torchvision.datasets.FashionMNIST(\n    root=\"../data\", train=False, transform=trans, download=True)\n\ndef get_fashion_mnist_labels(labels):  #@save\n    \"\"\"\u8fd4\u56deFashion-MNIST\u6570\u636e\u96c6\u7684\u6587\u672c\u6807\u7b7e\"\"\"\n    text_labels = ['t-shirt', 'trouser', 'pullover', 'dress', 'coat',\n                   'sandal', 'shirt', 'sneaker', 'bag', 'ankle boot']\n    return [text_labels[int(i)] for i in labels]\n\ndef show_images(imgs, num_rows, num_cols, titles=None, scale=1.5):  #@save\n    \"\"\"\u7ed8\u5236\u56fe\u50cf\u5217\u8868\"\"\"\n    figsize = (num_cols * scale, num_rows * scale)\n    _, axes = d2l.plt.subplots(num_rows, num_cols, figsize=figsize)\n    axes = axes.flatten()\n    for i, (ax, img) in enumerate(zip(axes, imgs)):\n        if torch.is_tensor(img):\n            # \u56fe\u7247\u5f20\u91cf\n            ax.imshow(img.numpy())\n        else:\n            # PIL\u56fe\u7247\n            ax.imshow(img)\n        ax.axes.get_xaxis().set_visible(False)\n        ax.axes.get_yaxis().set_visible(False)\n        if titles:\n            ax.set_title(titles[i])\n    return axes\n\nbatch_size = 256\n\ndef get_dataloader_workers():  #@save\n    \"\"\"\u4f7f\u75284\u4e2a\u8fdb\u7a0b\u6765\u8bfb\u53d6\u6570\u636e\"\"\"\n    return 4\n\ntrain_iter = data.DataLoader(mnist_train, batch_size, shuffle=True,\n                             num_workers=get_dataloader_workers())\n\ndef load_data_fashion_mnist(batch_size, resize=None):  #@save\n    \"\"\"\u4e0b\u8f7dFashion-MNIST\u6570\u636e\u96c6\uff0c\u7136\u540e\u5c06\u5176\u52a0\u8f7d\u5230\u5185\u5b58\u4e2d\"\"\"\n    trans = [transforms.ToTensor()]\n    if resize:\n        trans.insert(0, transforms.Resize(resize))\n    trans = transforms.Compose(trans)\n    mnist_train = torchvision.datasets.FashionMNIST(\n        root=\"../data\", train=True, transform=trans, download=True)\n    mnist_test = torchvision.datasets.FashionMNIST(\n        root=\"../data\", train=False, transform=trans, download=True)\n    return (data.DataLoader(mnist_train, batch_size, shuffle=True,\n                            num_workers=get_dataloader_workers()),\n            data.DataLoader(mnist_test, batch_size, shuffle=False,\n                            num_workers=get_dataloader_workers()))\n\ntrain_iter, test_iter = load_data_fashion_mnist(32, resize=64)\nfor X, y in train_iter:\n    print(X.shape, X.dtype, y.shape, y.dtype)\n    break\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#36-softmax","title":"3.6 softmax \u56de\u5f52\u7684\u4ece\u96f6\u5f00\u59cb\u5b9e\u73b0","text":"Python<pre><code>import torch\nfrom IPython import display\nfrom d2l import torch as d2l\n\nbatch_size = 256\ntrain_iter, test_iter = d2l.load_data_fashion_mnist(batch_size)\n\nnum_inputs = 784\nnum_outputs = 10\n\nW = torch.normal(0, 0.01, size=(num_inputs, num_outputs), requires_grad=True)\nb = torch.zeros(num_outputs, requires_grad=True) # \u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\n\nX = torch.tensor([[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]])\nX.sum(0, keepdim=True), X.sum(1, keepdim=True) \n\ndef softmax(X):\n    X_exp = torch.exp(X)\n    partition = X_exp.sum(1, keepdim=True)\n    return X_exp / partition  # \u8fd9\u91cc\u5e94\u7528\u4e86\u5e7f\u64ad\u673a\u5236\n\nX = torch.normal(0, 1, (2, 5))\nX_prob = softmax(X)\nX_prob, X_prob.sum(1) # \u5b9a\u4e49softmax\u64cd\u4f5c\n\ndef net(X):\n    return softmax(torch.matmul(X.reshape((-1, W.shape[0])), W) + b) # \u5b9a\u4e49\u6a21\u578b\n\ny = torch.tensor([0, 2])\ny_hat = torch.tensor([[0.1, 0.3, 0.6], [0.3, 0.2, 0.5]])\ny_hat[[0, 1], y] \ndef cross_entropy(y_hat, y):\n    return - torch.log(y_hat[range(len(y_hat)), y])\n\ncross_entropy(y_hat, y) # \u5b9a\u4e49\u635f\u5931\u51fd\u6570\n\ndef accuracy(y_hat, y):  #@save\n    \"\"\"\u8ba1\u7b97\u9884\u6d4b\u6b63\u786e\u7684\u6570\u91cf\"\"\"\n    if len(y_hat.shape) &gt; 1 and y_hat.shape[1] &gt; 1:\n        y_hat = y_hat.argmax(axis=1)\n    cmp = y_hat.type(y.dtype) == y\n    return float(cmp.type(y.dtype).sum())\n\ndef evaluate_accuracy(net, data_iter):  #@save\n    \"\"\"\u8ba1\u7b97\u5728\u6307\u5b9a\u6570\u636e\u96c6\u4e0a\u6a21\u578b\u7684\u7cbe\u5ea6\"\"\"\n    if isinstance(net, torch.nn.Module):\n        net.eval()  # \u5c06\u6a21\u578b\u8bbe\u7f6e\u4e3a\u8bc4\u4f30\u6a21\u5f0f\n    metric = Accumulator(2)  # \u6b63\u786e\u9884\u6d4b\u6570\u3001\u9884\u6d4b\u603b\u6570\n    with torch.no_grad():\n        for X, y in data_iter:\n            metric.add(accuracy(net(X), y), y.numel())\n    return metric[0] / metric[1]\n\nclass Accumulator:  #@save\n    \"\"\"\u5728n\u4e2a\u53d8\u91cf\u4e0a\u7d2f\u52a0\"\"\"\n    def __init__(self, n):\n        self.data = [0.0] * n\n\n    def add(self, *args):\n        self.data = [a + float(b) for a, b in zip(self.data, args)]\n\n    def reset(self):\n        self.data = [0.0] * len(self.data)\n\n    def __getitem__(self, idx):\n        return self.data[idx]\n\nevaluate_accuracy(net, test_iter) # \u5206\u7c7b\u7cbe\u5ea6\n\ndef train_epoch_ch3(net, train_iter, loss, updater):  #@save\n    \"\"\"\u8bad\u7ec3\u6a21\u578b\u4e00\u4e2a\u8fed\u4ee3\u5468\u671f\uff08\u5b9a\u4e49\u89c1\u7b2c3\u7ae0\uff09\"\"\"\n    # \u5c06\u6a21\u578b\u8bbe\u7f6e\u4e3a\u8bad\u7ec3\u6a21\u5f0f\n    if isinstance(net, torch.nn.Module):\n        net.train()\n    # \u8bad\u7ec3\u635f\u5931\u603b\u548c\u3001\u8bad\u7ec3\u51c6\u786e\u5ea6\u603b\u548c\u3001\u6837\u672c\u6570\n    metric = Accumulator(3)\n    for X, y in train_iter:\n        # \u8ba1\u7b97\u68af\u5ea6\u5e76\u66f4\u65b0\u53c2\u6570\n        y_hat = net(X)\n        l = loss(y_hat, y)\n        if isinstance(updater, torch.optim.Optimizer):\n            # \u4f7f\u7528PyTorch\u5185\u7f6e\u7684\u4f18\u5316\u5668\u548c\u635f\u5931\u51fd\u6570\n            updater.zero_grad()\n            l.mean().backward()\n            updater.step()\n        else:\n            # \u4f7f\u7528\u5b9a\u5236\u7684\u4f18\u5316\u5668\u548c\u635f\u5931\u51fd\u6570\n            l.sum().backward()\n            updater(X.shape[0])\n        metric.add(float(l.sum()), accuracy(y_hat, y), y.numel())\n    # \u8fd4\u56de\u8bad\u7ec3\u635f\u5931\u548c\u8bad\u7ec3\u7cbe\u5ea6\n    return metric[0] / metric[2], metric[1] / metric[2]\n\nclass Animator:  #@save\n    \"\"\"\u5728\u52a8\u753b\u4e2d\u7ed8\u5236\u6570\u636e\"\"\"\n    def __init__(self, xlabel=None, ylabel=None, legend=None, xlim=None,\n                 ylim=None, xscale='linear', yscale='linear',\n                 fmts=('-', 'm--', 'g-.', 'r:'), nrows=1, ncols=1,\n                 figsize=(3.5, 2.5)):\n        # \u589e\u91cf\u5730\u7ed8\u5236\u591a\u6761\u7ebf\n        if legend is None:\n            legend = []\n        d2l.use_svg_display()\n        self.fig, self.axes = d2l.plt.subplots(nrows, ncols, figsize=figsize)\n        if nrows * ncols == 1:\n            self.axes = [self.axes, ]\n        # \u4f7f\u7528lambda\u51fd\u6570\u6355\u83b7\u53c2\u6570\n        self.config_axes = lambda: d2l.set_axes(\n            self.axes[0], xlabel, ylabel, xlim, ylim, xscale, yscale, legend)\n        self.X, self.Y, self.fmts = None, None, fmts\n\n    def add(self, x, y):\n        # \u5411\u56fe\u8868\u4e2d\u6dfb\u52a0\u591a\u4e2a\u6570\u636e\u70b9\n        if not hasattr(y, \"__len__\"):\n            y = [y]\n        n = len(y)\n        if not hasattr(x, \"__len__\"):\n            x = [x] * n\n        if not self.X:\n            self.X = [[] for _ in range(n)]\n        if not self.Y:\n            self.Y = [[] for _ in range(n)]\n        for i, (a, b) in enumerate(zip(x, y)):\n            if a is not None and b is not None:\n                self.X[i].append(a)\n                self.Y[i].append(b)\n        self.axes[0].cla()\n        for x, y, fmt in zip(self.X, self.Y, self.fmts):\n            self.axes[0].plot(x, y, fmt)\n        self.config_axes()\n        display.display(self.fig)\n        display.clear_output(wait=True)\n\ndef train_ch3(net, train_iter, test_iter, loss, num_epochs, updater):  #@save\n    \"\"\"\u8bad\u7ec3\u6a21\u578b\uff08\u5b9a\u4e49\u89c1\u7b2c3\u7ae0\uff09\"\"\"\n    animator = Animator(xlabel='epoch', xlim=[1, num_epochs], ylim=[0.3, 0.9],\n                        legend=['train loss', 'train acc', 'test acc'])\n    for epoch in range(num_epochs):\n        train_metrics = train_epoch_ch3(net, train_iter, loss, updater)\n        test_acc = evaluate_accuracy(net, test_iter)\n        animator.add(epoch + 1, train_metrics + (test_acc,))\n    train_loss, train_acc = train_metrics\n    assert train_loss &lt; 0.5, train_loss\n    assert train_acc &lt;= 1 and train_acc &gt; 0.7, train_acc\n    assert test_acc &lt;= 1 and test_acc &gt; 0.7, test_acc\n\nlr = 0.1\n\ndef updater(batch_size):\n    return d2l.sgd([W, b], lr, batch_size)\n\nnum_epochs = 10\ntrain_ch3(net, train_iter, test_iter, cross_entropy, num_epochs, updater) # \u8bad\u7ec3\n\ndef predict_ch3(net, test_iter, n=6):  #@save\n    \"\"\"\u9884\u6d4b\u6807\u7b7e\uff08\u5b9a\u4e49\u89c1\u7b2c3\u7ae0\uff09\"\"\"\n    for X, y in test_iter:\n        break\n    trues = d2l.get_fashion_mnist_labels(y)\n    preds = d2l.get_fashion_mnist_labels(net(X).argmax(axis=1))\n    titles = [true +'\\n' + pred for true, pred in zip(trues, preds)]\n    d2l.show_images(\n        X[0:n].reshape((n, 28, 28)), 1, n, titles=titles[0:n])\n\npredict_ch3(net, test_iter) # \u9884\u6d4b\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#37-softmax","title":"3.7 softmax \u56de\u5f52\u7684\u7b80\u6d01\u5b9e\u73b0","text":"Python<pre><code>import torch\nfrom torch import nn\nfrom d2l import torch as d2l\n\nbatch_size = 256\ntrain_iter, test_iter = d2l.load_data_fashion_mnist(batch_size)\n\n# PyTorch\u4e0d\u4f1a\u9690\u5f0f\u5730\u8c03\u6574\u8f93\u5165\u7684\u5f62\u72b6\u3002\u56e0\u6b64\uff0c\n# \u6211\u4eec\u5728\u7ebf\u6027\u5c42\u524d\u5b9a\u4e49\u4e86\u5c55\u5e73\u5c42\uff08flatten\uff09\uff0c\u6765\u8c03\u6574\u7f51\u7edc\u8f93\u5165\u7684\u5f62\u72b6\nnet = nn.Sequential(nn.Flatten(), nn.Linear(784, 10))\n\ndef init_weights(m):\n    if type(m) == nn.Linear:\n        nn.init.normal_(m.weight, std=0.01)\n\nnet.apply(init_weights); # \u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\n</code></pre> \\[ \\begin{split}\\begin{aligned} \\hat y_j &amp; =  \\frac{\\exp(o_j - \\max(o_k))\\exp(\\max(o_k))}{\\sum_k \\exp(o_k - \\max(o_k))\\exp(\\max(o_k))} \\\\ &amp; = \\frac{\\exp(o_j - \\max(o_k))}{\\sum_k \\exp(o_k - \\max(o_k))}. \\end{aligned}\\end{split} \\] \\[ \\begin{split}\\begin{aligned} \\log{(\\hat y_j)} &amp; = \\log\\left( \\frac{\\exp(o_j - \\max(o_k))}{\\sum_k \\exp(o_k - \\max(o_k))}\\right) \\\\ &amp; = \\log{(\\exp(o_j - \\max(o_k)))}-\\log{\\left( \\sum_k \\exp(o_k - \\max(o_k)) \\right)} \\\\ &amp; = o_j - \\max(o_k) -\\log{\\left( \\sum_k \\exp(o_k - \\max(o_k)) \\right)}. \\end{aligned}\\end{split} \\] Python<pre><code>loss = nn.CrossEntropyLoss(reduction='none') # LogSumExp\u6280\u5de7\n\ntrainer = torch.optim.SGD(net.parameters(), lr=0.1) # \u4f18\u5316\u7b97\u6cd5\n\nnum_epochs = 10\nd2l.train_ch3(net, train_iter, test_iter, loss, num_epochs, trainer) # \u8bad\u7ec3\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#_1","title":"\u591a\u5c42\u611f\u77e5\u673a","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_2","title":"\u8fc7\u62df\u5408\u548c\u6b20\u62df\u5408","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#dropout","title":"dropout","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_3","title":"\u6df1\u5ea6\u5b66\u4e60\u8ba1\u7b97","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_4","title":"\u5377\u79ef\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#lenet","title":"LeNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_5","title":"\u73b0\u4ee3\u5377\u79ef\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#alexnet","title":"AlexNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#vgg","title":"VGG","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#nin","title":"NiN","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#googlenet","title":"GoogLeNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#resnet","title":"ResNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#densenet","title":"DenseNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_6","title":"\u5faa\u73af\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_7","title":"\u73b0\u4ee3\u5faa\u73af\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#gru","title":"GRU","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#lstm","title":"LSTM","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#seq2seq","title":"seq2seq","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_8","title":"\u6ce8\u610f\u529b\u673a\u5236","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#nadaraya-watson","title":"Nadaraya-Watson","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#bahdanau","title":"Bahdanau","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#multi-headed-attention","title":"Multi-headed attention","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#transformer","title":"Transformer","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_9","title":"\u4f18\u5316\u7b97\u6cd5","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#adagrad","title":"AdaGrad","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#rmsprop","title":"RMSProp","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#adadelta","title":"Adadelta","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#adam","title":"Adam","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_10","title":"\u8ba1\u7b97\u6027\u80fd","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_11","title":"\u8ba1\u7b97\u673a\u89c6\u89c9","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#ssd","title":"SSD","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#r-cnn","title":"R-CNN","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_12","title":"\u81ea\u7136\u8bed\u8a00\u5904\u7406:\u9884\u8bad\u7ec3","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#word2vec","title":"word2vec","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#glove","title":"GloVe","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#bert","title":"BERT","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_13","title":"\u81ea\u7136\u8bed\u8a00\u5904\u7406:\u5e94\u7528","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/","title":"\u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5","text":"<p> \u7ea6 3356 \u4e2a\u5b57  43 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 11 \u5206\u949f</p>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#1","title":"1 \u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5\u6982\u8bba","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#11","title":"1.1 \u7edf\u8ba1\u5b66\u4e60","text":"<ol> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u7279\u70b9<ol> <li>\u4ee5\u8ba1\u7b97\u673a\u53ca\u7f51\u7edc\u4e3a\u5e73\u53f0</li> <li>\u4ee5\u6570\u636e\u4e3a\u7814\u7a76\u5bf9\u8c61</li> <li>\u76ee\u7684\u662f\u5bf9\u6570\u636e\u8fdb\u884c\u9884\u6d4b\u4e0e\u5206\u6790</li> <li>\u4ea4\u53c9\u5b66\u79d1</li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u5bf9\u8c61<ol> <li>\u662f\u6570\u636e</li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u76ee\u7684</li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u65b9\u6cd5<ol> <li>\u4e3b\u8981\u6709<ol> <li>\u76d1\u7763\u5b66\u4e60\uff08\u672c\u4e66\u4e3b\u8981\u8ba8\u8bba\uff09</li> <li>\u975e\u76d1\u7763\u5b66\u4e60</li> <li>\u534a\u76d1\u7763\u5b66\u4e60</li> <li>\u5f3a\u5316\u5b66\u4e60</li> </ol> </li> <li>\u4e09\u8981\u7d20<ol> <li>\u6a21\u578b</li> <li>\u7b56\u7565</li> <li>\u7b97\u6cd5</li> </ol> </li> <li>\u5b9e\u73b0\u6b65\u9aa4<ol> <li>\u5f97\u5230\u4e00\u4e2a\u8bad\u7ec3\u6570\u636e\u96c6\u5408</li> <li>\u786e\u5b9a\u5b66\u4e60\u6a21\u578b\u7684\u96c6\u5408</li> <li>\u786e\u5b9a\u5b66\u4e60\u7684\u7b56\u7565</li> <li>\u786e\u5b9a\u5b66\u4e60\u7684\u7b97\u6cd5</li> <li>\u901a\u8fc7\u5b66\u4e60\u65b9\u6cd5\u9009\u62e9\u6700\u4f18\u6a21\u578b</li> <li>\u5229\u7528\u5b66\u4e60\u7684\u6700\u4f18\u6a21\u578b\u5bf9\u65b0\u6570\u636e\u8fdb\u884c\u9884\u6d4b\u6216\u5206\u6790</li> </ol> </li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u7814\u7a76<ol> <li>\u65b9\u6cd5</li> <li>\u7406\u8bba</li> <li>\u5e94\u7528</li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u91cd\u8981\u6027</li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#12","title":"1.2 \u76d1\u7763\u5b66\u4e60","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#121","title":"1.2.1 \u57fa\u672c\u6982\u5ff5","text":"<ol> <li>\u8f93\u5165\u7a7a\u95f4\u3001\u7279\u5f81\u7a7a\u95f4\u4e0e\u8f93\u51fa\u7a7a\u95f4<ol> <li>\u6bcf\u4e2a\u8f93\u5165\u662f\u4e00\u4e2a\u5b9e\u4f8b\uff0c\u901a\u5e38\u7531\u7279\u5f81\u5411\u91cf\u8868\u793a</li> <li>\u76d1\u7763\u5b66\u4e60\u4ece\u8bad\u7ec3\u6570\u636e\u96c6\u5408\u4e2d\u5b66\u4e60\u6a21\u578b\uff0c\u5bf9\u6d4b\u8bd5\u6570\u636e\u8fdb\u884c\u9884\u6d4b</li> <li>\u6839\u636e\u8f93\u5165\u53d8\u91cf\u548c\u8f93\u51fa\u53d8\u91cf\u7684\u4e0d\u540c\u7c7b\u578b<ol> <li>\u56de\u5f52\u95ee\u9898: \u90fd\u8fde\u7eed</li> <li>\u5206\u7c7b\u95ee\u9898: \u8f93\u51fa\u6709\u9650\u79bb\u6563</li> <li>\u6807\u6ce8\u95ee\u9898: \u90fd\u662f\u53d8\u91cf\u5e8f\u5217</li> </ol> </li> </ol> </li> <li>\u8054\u5408\u6982\u7387\u5206\u5e03</li> <li>\u5047\u8bbe\u7a7a\u95f4<ol> <li>\u6a21\u578b\u5c5e\u4e8e\u7531\u8f93\u5165\u7a7a\u95f4\u5230\u8f93\u51fa\u7a7a\u95f4\u7684\u6620\u5c04\u7684\u96c6\u5408\uff0c\u8fd9\u4e2a\u96c6\u5408\u5c31\u662f\u5047\u8bbe\u7a7a\u95f4</li> <li>\u6a21\u578b\u53ef\u4ee5\u662f\uff08\u975e\uff09\u6982\u7387\u6a21\u578b</li> </ol> </li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#122","title":"1.2.2 \u95ee\u9898\u7684\u5f62\u5f0f\u5316","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#13","title":"1.3 \u7edf\u8ba1\u5b66\u4e60\u4e09\u8981\u8bfb","text":"<ul> <li>\u65b9\u6cd5=\u6a21\u578b+\u7b56\u7565+\u7b97\u6cd5</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#131","title":"1.3.1 \u6a21\u578b","text":"<ul> <li>\u6a21\u578b\u5c31\u662f\u7d22\u8981\u5b66\u4e60\u7684\u6761\u4ef6\u6982\u7387\u5206\u5e03\u6216\u51b3\u7b56\u51fd\u6570</li> </ul> \\[ \\mathcal{F}=\\{f\\mid Y=f(X)\\} \\] <ul> <li>\u53c2\u6570\u7a7a\u95f4</li> </ul> \\[ \\mathcal{F}=\\{f | Y=f_{\\theta}(X),\\theta\\in\\mathbf{R}^{n}\\} \\] <ul> <li>\u540c\u6837\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u6761\u4ef6\u6982\u7387\u7684\u96c6\u5408</li> </ul> \\[ \\mathcal{F}=\\{P|P(Y|X)\\} \\] \\[ \\mathcal{F}=\\{P\\mid P_{\\theta}(Y\\mid X),\\theta\\in\\mathbf{R}^{n}\\} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#132","title":"1.3.2 \u7b56\u7565","text":"<ol> <li>\u635f\u5931\u51fd\u6570\u548c\u98ce\u9669\u51fd\u6570<ol> <li>loos function or cost function \\(\\displaystyle L(Y,f(X))\\)<ol> <li>0-1 loss function<ol> <li>\\(\\displaystyle L(Y,f(X))=\\begin{cases}1,&amp;Y\\neq f(X)\\\\0,&amp;Y=f(X)\\end{cases}\\)</li> </ol> </li> <li>quadratic loss function<ol> <li>\\(\\displaystyle L(Y,f(X))=(Y-f(X))^{2}\\)</li> </ol> </li> <li>absolute loss function<ol> <li>\\(\\displaystyle L(Y,f(X))=|Y-f(X)|\\)</li> </ol> </li> <li>logarithmic loss function or log-likelihood loss function<ol> <li>\\(\\displaystyle L(Y,P(Y\\mid X))=-\\log P(Y\\mid X)\\)</li> </ol> </li> </ol> </li> <li>\\(\\displaystyle R_{\\exp}(f)=E_{P}[L(Y,f(X))]=\\int_{x\\times y}L(y,f(x))P(x,y)\\mathrm{d}x\\mathrm{d}y\\)<ol> <li>risk function or expected loss</li> <li>\u4f46\u662f\u8054\u5408\u5206\u5e03\u4f4d\u7f6e\uff0c\u6240\u4ee5\u8981\u5b66\u4e60\uff0c\u4f46\u662f\u8fd9\u6837\u4ee5\u6765\u98ce\u9669\u6700\u5c0f\u53c8\u8981\u7528\u5230\u8054\u5408\u5206\u5e03\uff0c\u90a3\u4e48\u8fd9\u5c31\u6210\u4e3a\u4e86\u75c5\u6001\u95ee\u9898 (ill-formed problem)</li> </ol> </li> <li>empirical risk or empirical loss<ol> <li>\\(\\displaystyle R_{\\mathrm{emp}}(f)=\\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},f(x_{i}))\\)</li> <li>\u5f53 \\(\\displaystyle N\\) \u8d8b\u4e8e\u65e0\u7a77\u65f6\uff0c\u7ecf\u9a8c\u98ce\u9669\u8d8b\u4e8e\u671f\u671b\u98ce\u9669<ol> <li>\u8fd9\u5c31\u5173\u7cfb\u5230\u4e24\u4e2a\u57fa\u672c\u7b56\u7565:<ol> <li>\u7ecf\u9a8c\u98ce\u9669\u6700\u5c0f\u5316</li> <li>\u7ed3\u6784\u98ce\u9669\u6700\u5c0f\u5316</li> </ol> </li> </ol> </li> </ol> </li> </ol> </li> <li>\u7ecf\u9a8c\u98ce\u9669\u6700\u5c0f\u5316\u4e0e\u7ed3\u6784\u98ce\u9669\u6700\u5c0f\u5316<ol> <li>empirical risk minimization \uff08\u6837\u672c\u5bb9\u91cf\u6bd4\u8f83\u5927\u7684\u65f6\u5019\uff09<ol> <li>\\(\\displaystyle \\min_{f\\in\\mathcal{F}} \\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},f(x_{i}))\\)</li> <li>maximum likelihood estimation</li> </ol> </li> <li>structural risk minimization<ol> <li>regularization</li> <li>\\(\\displaystyle R_{\\mathrm{sm}}(f)=\\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},f(x_{i}))+\\lambda J(f)\\)</li> <li>\u590d\u6742\u5ea6\u8868\u793a\u4e86\u5bf9\u590d\u6742\u6a21\u578b\u7684\u4e58\u6cd5</li> <li>maximum posterior probability estimation</li> </ol> </li> </ol> </li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#133","title":"1.3.3 \u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#14","title":"1.4 \u6a21\u578b\u8bc4\u4f30\u4e0e\u6a21\u578b\u9009\u62e9","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#141","title":"1.4.1 \u8bad\u7ec3\u8bef\u5dee\u4e0e\u6d4b\u8bd5\u8bef\u5dee","text":"\\[ R_{\\mathrm{emp}}(\\hat{f})=\\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},\\hat{f}(x_{i})) \\] \\[ e_{\\mathrm{test}}=\\frac{1}{N^{\\prime}}\\sum_{i=1}^{N^{\\prime}}L(y_{i},\\hat{f}(x_{i})) \\] \\[ r_{\\mathrm{test}}+e_{\\mathrm{test}}=1 \\] <ul> <li>generalization ability</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#142","title":"1.4.2 \u8fc7\u62df\u5408\u4e0e\u6a21\u578b\u9009\u62e9","text":"<ul> <li>model selection</li> <li>over-fitting </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#15","title":"1.5 \u6b63\u5219\u5316\u4e0e\u4ea4\u53c9\u9a8c\u8bc1","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#151","title":"1.5.1 \u6b63\u5219\u5316","text":"\\[ L(w)=\\frac{1}{N}\\sum_{i=1}^{N}(f(x_{i};w)-y_{i})^{2}+\\frac{\\lambda}{2}\\parallel w\\parallel^{2} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#152","title":"1.5.2 \u4ea4\u53c9\u9a8c\u8bc1","text":"<ul> <li>cross validation</li> <li>\u6570\u636e\u96c6<ul> <li>\u8bad\u7ec3\u96c6</li> <li>\u9a8c\u8bc1\u96c6</li> <li>\u6d4b\u8bd5\u96c6 1. \u7b80\u5355\u4ea4\u53c9\u9a8c\u8bc1 2. \\(\\displaystyle S\\) \u6298\u4ea4\u53c9\u9a8c\u8bc1 3. \u7559\u4e00\u4ea4\u53c9\u9a8c\u8bc1</li> </ul> </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#16","title":"1.6 \u6cdb\u5316\u80fd\u529b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#161","title":"1.6.1 \u6cdb\u5316\u8bef\u5dee","text":"<ul> <li>generalization error</li> </ul> \\[ R_{\\exp}(\\hat{f})=E_{P}[L(Y,\\hat{f}(X))]=\\int_{R\\times y}L(y,\\hat{f}(x))P(x,y)\\mathrm{d}x\\mathrm{d}y \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#162","title":"1.6.2 \u6cdb\u5316\u8bef\u5dee\u4e0a\u754c","text":"<ul> <li>generalization error bound</li> <li>\u6837\u672c\u5bb9\u91cf\u589e\u52a0\u65f6\uff0c\u6cdb\u5316\u4e0a\u754c\u8d8b\u4e8e 0</li> <li>\u5047\u8bbe\u7a7a\u95f4\u8d8a\u5927\uff0c\u6cdb\u5316\u8bef\u5dee\u4e0a\u754c\u8d8a\u5927 </li> <li>\u8fd9\u4e2a\u5b9a\u7406\u53ea\u9002\u7528\u4e8e\u5047\u8bbe\u7a7a\u95f4\u5305\u542b\u6709\u9650\u4e2a\u51fd\u6570</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#17","title":"1.7 \u751f\u6210\u6a21\u578b\u4e0e\u5224\u522b\u6a21\u578b","text":"<ul> <li>generative model<ul> <li>\u8fd8\u539f\u51fa\u8054\u5408\u6982\u7387\u5206\u5e03 \\(\\displaystyle P(X,Y)\\)</li> <li>\u6734\u7d20\u8d1d\u53f6\u65af\u6cd5</li> <li>\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b</li> <li>\u6536\u655b\u901f\u5ea6\u5feb</li> </ul> </li> <li>discriminative model<ul> <li>\u76f4\u63a5\u5b66\u4e60\u51b3\u7b56\u51fd\u6570\u6216\u6761\u4ef6\u6982\u7387\u5206\u5e03 \\(\\displaystyle P(Y|X)\\)</li> <li>\\(\\displaystyle k\\) \u8fd1\u90bb\u6cd5</li> <li>\u611f\u77e5\u673a</li> <li>\u51b3\u7b56\u6811</li> <li>\u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b</li> <li>\u6700\u5927\u71b5\u6a21\u578b</li> <li>\u652f\u6301\u5411\u91cf\u673a</li> <li>\u63d0\u5347\u65b9\u6cd5</li> <li>\u6761\u4ef6\u968f\u673a\u573a</li> <li>\u51c6\u786e\u5ea6\u9ad8</li> </ul> </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#18","title":"1.8 \u5206\u7c7b\u95ee\u9898","text":"<ul> <li>precision \\(\\displaystyle P=\\frac{TP}{TP+FP}\\)</li> <li>recall \\(\\displaystyle R=\\frac{TP}{TP+FN}\\) </li> </ul> \\[ \\frac{2}{F_{1}}=\\frac{1}{P}+\\frac{1}{R} \\] \\[ F_{1}=\\frac{2TP}{2TP+FP+FN} \\] <ul> <li>text classification</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#19","title":"1.9 \u6807\u6ce8\u95ee\u9898","text":"<ul> <li>tagging \u662f classificationd \u4e00\u4e2a\u63a8\u5e7f</li> <li>\u662f structure prediction \u7684\u7b80\u5355\u5f62\u5f0f</li> <li>\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b</li> <li>\u6761\u4ef6\u968f\u673a\u573a</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#110","title":"1.10 \u56de\u5f52\u95ee\u9898","text":"<ul> <li>regression</li> <li>\uff08\u975e\uff09\u7ebf\u6027\u56de\u5f52\uff0c\u4e00\u5143\u56de\u5f52\uff0c\u591a\u5143\u56de\u5f52</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#2","title":"2 \u611f\u77e5\u673a","text":"<ul> <li>perception</li> <li>\u611f\u77e5\u673a\u5bf9\u5e94\u4e8e\u8f93\u5165\u7a7a\u95f4\u4e2d\u5c06\u5b9e\u4f8b\u5212\u5206\u6210\u6b63\u8d1f\u4e24\u7c7b\u7684\u5206\u79bb\u8d85\u5e73\u9762\uff0c\u5c5e\u4e8e\u5224\u522b\u6a21\u578b</li> <li>\u539f\u59cb\u5f62\u5f0f\u548c\u5bf9\u5076\u5f62\u5f0f</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#21","title":"2.1 \u611f\u77e5\u673a\u6a21\u578b","text":"<ul> <li>\u5047\u8bbe\u7a7a\u95f4\u662f\u5b9a\u4e49\u5728\u7279\u5f81\u7a7a\u95f4\u4e2d\u6240\u6709\u7684\u7ebf\u6027\u5206\u7c7b\u6a21\u578b\uff08linear classification model\uff09\\(\\displaystyle \\{f|f(x) = w \\cdot x+b\\}\\) </li> <li>separating hyperplane </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#22","title":"2.2 \u611f\u77e5\u673a\u5b66\u4e60\u7b56\u7565","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#221","title":"2.2.1 \u6570\u636e\u96c6\u7684\u7ebf\u6027\u53ef\u5206\u6027","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#222","title":"2.2.2 \u611f\u77e5\u673a\u5b66\u4e60\u7b56\u7565","text":"<ul> <li>\u5b9a\u4e49\u635f\u5931\u51fd\u6570\u5e76\u5c06\u635f\u5931\u51fd\u6570\u6781\u5c0f\u5316</li> </ul> \\[ L(w,b)=-\\sum_{x_{i}\\in M}y_{i}(w\\cdot x_{i}+b) \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#223","title":"2.2.3 \u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#224","title":"2.2.4 \u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5\u7684\u539f\u59cb\u5f62\u5f0f","text":"\\[ \\min_{w,b}L(w,b)=-\\sum_{x_{i}\\in M}y_{i}(w\\cdot x_{i}+b) \\] <ul> <li>stochastic gradient descent</li> </ul> \\[ \\nabla_{_w}L(w,b)=-\\sum_{x_{i}\\in M}y_{i}x_{i} \\] \\[ \\nabla_{b}L(w,b)=-\\sum_{x_{i}eM}y_{i} \\] \\[ w\\leftarrow w+\\eta y_{i}x_{i} \\] \\[ b\\leftarrow b+\\eta y_{i} \\] <ul> <li>\\(\\displaystyle \\eta\\) \u88ab\u79f0\u4e3a\u5b66\u4e60\u7387\uff08learning rate\uff09 </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#225","title":"2.2.5 \u7b97\u6cd5\u7684\u6536\u655b\u6027","text":"<ul> <li>\u4e3a\u4e86\u5f97\u5230\u552f\u4e00\u7684\u8d85\u5e73\u9762\uff0c\u9700\u8981\u5bf9\u5206\u79bb\u8d85\u5e73\u9762\u589e\u52a0\u7ea6\u675f\u6761\u4ef6\uff0c\u5373\u7ebf\u6027\u652f\u6301\u5411\u91cf\u673a</li> <li>\u5982\u679c\u8bad\u7ec3\u96c6\u7ebf\u6027\u4e0d\u53ef\u5206\uff0c\u90a3\u4e48\u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5\u4e0d\u6536\u655b</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#226","title":"2.2.6 \u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5\u7684\u5bf9\u5076\u5f62\u5f0f","text":"\\[ \\begin{aligned}&amp;w\\leftarrow w+\\eta y_{i}x_{i}\\\\&amp;b\\leftarrow b+\\eta y_{i}\\end{aligned} \\] \\[ w=\\sum_{i=1}^{N}\\alpha_{i}y_{i}x_{i} \\] \\[ b=\\sum_{i=1}^{N}\\alpha_{i}y_{i} \\] <ul> <li>Gram matrix</li> </ul> \\[ G=[x_{i}\\cdot x_{j}]_{N\\times N} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#3-displaystyle-k","title":"3 \\(\\displaystyle k\\) \u8fd1\u90bb\u6cd5","text":"<ul> <li>k-nearest neighbor</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#31-displaystyle-k","title":"3.1 \\(\\displaystyle k\\) \u8fd1\u90bb\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#32-displaystyle-k","title":"3.2 \\(\\displaystyle k\\) \u8fd1\u90bb\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#321","title":"3.2.1 \u6a21\u578b","text":"<ul> <li>cell</li> <li>class label </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#33","title":"3.3 \u8ddd\u79bb\u5ea6\u91cf","text":"<ul> <li>\\(\\displaystyle L_{p}\\) distance or Minkowski distamce</li> <li>\\(\\displaystyle L_{p}(x_{i},x_{j})=\\left(\\sum_{l=1}^{n}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid^{p}\\right)^{\\frac{1}{p}}\\)</li> <li>\\(\\displaystyle L_{2}(x_{i},x_{j})=\\left(\\sum_{i=1}^{n}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid^{2}\\right)^{\\frac{1}{2}}\\)</li> <li>\\(\\displaystyle L_{1}(x_{i}, x_{j})=\\sum_{l=1}^{n}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid\\)</li> <li>\\(\\displaystyle L_{\\infty}(x_{i}, x_{j})=\\max_{l}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid\\) </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#331-displaystyle-k","title":"3.3.1 \\(\\displaystyle k\\) \u503c\u7684\u9009\u62e9","text":"<ul> <li>if k is small, then the approximation error will reduce</li> <li>estimation error</li> <li>\\(\\displaystyle k\\) \u503c\u7684\u51cf\u5c0f\u5c31\u610f\u5473\u7740\u6574\u4f53\u6a21\u578b\u53d8\u5f97\u590d\u6742\uff0c\u5bb9\u6613\u53d1\u751f\u8fc7\u62df\u5408</li> <li>\u5728\u5e94\u7528\u4e2d, \\(\\displaystyle k\\) \u503c\u4e00\u822c\u53d6\u4e00\u4e2a\u6bd4\u8f83\u5c0f\u7684\u6570\u503c\uff0c\u901a\u5e38\u91c7\u7528\u4ea4\u53c9\u9a8c\u8bc1\u6cd5\u6765\u9009\u53d6\u6700\u4f18\u7684 \\(\\displaystyle k\\) \u503c</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#332","title":"3.3.2 \u5206\u7c7b\u51b3\u7b56\u89c4\u5219","text":"<ul> <li>\u591a\u6570\u8868\u51b3\u89c4\u5219\uff08majority voting rule\uff09 </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#34-displaystyle-k-displaystyle-kd","title":"3.4 \\(\\displaystyle k\\) \u8fd1\u90bb\u6cd5\u7684\u5b9e\u73b0: \\(\\displaystyle kd\\) \u6811","text":"<ul> <li>linear scan</li> <li>kd tree</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#341-displaystyle-kd","title":"3.4.1 \u6784\u9020 \\(\\displaystyle kd\\) \u6811","text":"<ul> <li>\\(\\displaystyle kd\\) \u6811\u662f\u4e00\u4e8c\u53c9\u6811\uff0c\u8868\u793a\u5bf9 \\(\\displaystyle k\\) \u7ef4\u7a7a\u95f4\u7684\u4e00\u4e2a\u5212\u5206\uff08partition\uff09</li> <li>\u901a\u5e38\u9009\u62e9\u8bad\u7ec3\u5b9e\u4f8b\u70b9\u5728\u9009\u5b9a\u5750\u6807\u8f74\u4e0a\u7684\u4e2d\u4f4d\u6570\u4e3a\u5207\u5206\u70b9\uff0c\u867d\u7136\u8fd9\u6837\u5f97\u5230\u7684\u6811\u662f\u5e73\u8861\u7684\uff0c\u4f46\u6548\u7387\u672a\u5fc5\u662f\u6700\u4f18\u7684  \u6709\u610f\u601d</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#342-displaystyle-kd","title":"3.4.2 \u641c\u7d22 \\(\\displaystyle kd\\) \u6811","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#4","title":"4 \u6734\u7d20\u8d1d\u53f6\u65af\u6cd5","text":"<ul> <li>\u57fa\u4e8e\u8d1d\u53f6\u65af\u5b9a\u7406\u4e0e\u7279\u5f81\u6761\u4ef6\u72ec\u7acb\u5047\u8bbe\u7684\u5206\u7c7b\u65b9\u6cd5</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#41","title":"4.1 \u6734\u7d20\u8d1d\u53f6\u65af\u6cd5\u7684\u5b66\u4e60\u4e0e\u5206\u7c7b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#411","title":"4.1.1 \u57fa\u672c\u65b9\u6cd5","text":"<ul> <li>\u5b66\u4e60\u5148\u9a8c\u6982\u7387\u5206\u5e03\u548c\u6761\u4ef6\u6982\u7387\u5206\u5e03\u4e8e\u662f\u5b66\u4e60\u5230\u8054\u5408\u6982\u7387\u5206\u5e03</li> </ul> \\[ P(X=x\\mid Y=c_{k})=P(X^{(1)}=x^{(1)},\\cdots,X^{(n)}=x^{(n)}\\mid Y=c_{k}),\\quad k=1,2,\\cdots,K \\] <ul> <li>\u5f15\u5165\u4e86\u6761\u4ef6\u72ec\u7acb\u6027\u5047\u8bbe</li> </ul> \\[ \\begin{aligned} P(X=x|Y=c_{k})&amp; =P(X^{(1)}=x^{(1)},\\cdots,X^{(n)}=x^{(n)}\\mid Y=c_{k}) \\\\ &amp;=\\prod_{j=1}^{n}P(X^{(j)}=x^{(j)}\\mid Y=c_{k}) \\end{aligned} \\] \\[ P(Y=c_{k}\\mid X=x)=\\frac{P(X=x\\mid Y=c_{k})P(Y=c_{k})}{\\sum_{k}P(X=x\\mid Y=c_{k})P(Y=c_{k})} \\] \\[ P(Y=c_{k}\\mid X=x)=\\frac{P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})}{\\sum_{k}P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})},\\quad k=1,2,\\cdots,K \\] \\[ y=f(x)=\\arg\\max_{c_{k}}\\frac{P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})}{\\sum_{k}P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})} \\] \\[ y=\\arg\\max_{c_{k}}P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k}) \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#412","title":"4.1.2 \u540e\u9a8c\u6982\u7387\u6700\u5927\u5316\u7684\u542b\u4e49","text":"\\[ L(Y,f(X))=\\begin{cases}1,&amp;Y\\neq f(X)\\\\0,&amp;Y=f(X)\\end{cases} \\] \\[ R_{\\exp}(f)=E[L(Y,f(X))] \\] \\[ R_{\\exp}(f)=E_{\\chi}\\sum_{k=1}^{K}[L(c_{k},f(X))]P(c_{k}\\mid X) \\] \\[ \\begin{align} f(x) &amp;=\\arg\\min_{y\\in\\mathcal{Y}}\\sum_{k=1}^{K}L(c_{k},y)P(c_{k}\\mid X=x) \\\\ &amp;=\\arg\\min_{y\\in\\mathcal{Y}}\\sum_{k=1}^{K}P(y\\neq c_{k}\\mid X=x) \\\\ &amp;=\\arg\\min_{y\\in\\mathcal{Y}}(1-P(y=c_{k}\\mid X=x)) \\\\ &amp;=\\arg\\max_{y\\in\\mathcal{Y}}P(y=c_{k}\\mid X=x)  \\end{align} \\] \\[ f(x)=\\arg\\max_{c_{k}}P(c_{k}\\mid X=x) \\] <ul> <li>\u671f\u671b\u98ce\u9669\u6700\u5c0f\u5316\u51c6\u5219\u5c31\u5f97\u5230\u8054\u8003\u540e\u9a8c\u6982\u7387\u6700\u5927\u5316\u51c6\u5219</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#42","title":"4.2 \u6734\u7d20\u8d1d\u53f6\u65af\u6cd5\u7684\u53c2\u6570\u4f30\u8ba1","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#421","title":"4.2.1 \u6781\u5927\u4f3c\u7136\u4f30\u8ba1","text":"\\[ P(Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(y_{i}=c_{k})}{N} , k=1,2,\\cdots,K \\] \\[ P(X^{(j)}=a_{ji}\\mid Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(x_{i}^{(j)}=a_{ji},y_{i}=c_{k})}{\\sum_{i=1}^{N}I(y_{i}=c_{k})}\\\\j=1,2,\\cdots,n ;\\quad l=1,2,\\cdots,S_{j} ;\\quad k=1,2,\\cdots,K \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#422","title":"4.2.2 \u5b66\u4e60\u4e0e\u5206\u7c7b\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#423","title":"4.2.3 \u8d1d\u53f6\u65af\u4f30\u8ba1","text":"<ul> <li>\u6781\u5927\u4f3c\u7136\u4f30\u8ba1\u53ef\u80fd\u4f1a\u51fa\u73b0\u6240\u8981\u4f30\u8ba1\u7684\u6982\u7387\u503c\u4e3a 0 \u7684\u60c5\u51b5</li> <li>\u6761\u4ef6\u6982\u7387\u7684\u8d1d\u53f6\u65af\u4f30\u8ba1</li> </ul> \\[ P_{\\lambda}(X^{(j)}=a_{ji}\\mid Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(x_{i}^{(j)}=a_{ji},y_{i}=c_{k})+\\lambda}{\\sum_{i=1}^{N}I(y_{i}=c_{k})+S_{j}\\lambda} \\] <ul> <li>when \\(\\displaystyle \\lambda = 0\\), it's called Laplace smoothing</li> </ul> \\[ \\begin{aligned}&amp;P_{\\lambda}(X^{(j)}=a_{jl}\\mid Y=c_{k})&gt;0\\\\&amp;\\sum_{l=1}^{s_{j}}P(X^{(j)}=a_{jl}\\mid Y=c_{k})=1\\end{aligned} \\] <ul> <li>\u8868\u660e\u8d1d\u53f6\u65af\u4f30\u8ba1\u786e\u5b9e\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03</li> <li>\u5148\u9a8c\u6982\u7387\u7684\u8d1d\u53f6\u65af\u4f30\u8ba1</li> </ul> \\[ P_{\\lambda}(Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(y_{i}=c_{k})+\\lambda}{N+K\\lambda} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#5","title":"5 \u51b3\u7b56\u6811","text":"<ul> <li>decision tree<ul> <li>\u7279\u5f81\u9009\u62e9</li> <li>\u51b3\u7b56\u6811\u7684\u751f\u6210</li> <li>\u51b3\u7b56\u6811\u7684\u4fee\u526a</li> </ul> </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#51","title":"5.1 \u51b3\u7b56\u6811\u6a21\u578b\u4e0e\u5b66\u4e60","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#511","title":"5.1.1 \u51b3\u7b56\u6811\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#512-if-then","title":"5.1.2 \u51b3\u7b56\u6811\u4e0e if-then \u89c4\u5219","text":"<ul> <li>\u4e92\u65a5\u4e14\u5b8c\u5907</li> <li>\u6bcf\u4e00\u4e2a\u5b9e\u4f8b\u90fd\u88ab\u4e00\u6761\u8def\u5f84\u4f1a\u89c4\u5219\u6240\u8986\u76d6\uff0c\u800c\u4e14\u53ea\u88ab\u4e00\u6761\u8def\u5f84\u6216\u4e00\u6761\u89c4\u5219\u6240\u8986\u76d6</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#513","title":"5.1.3 \u51b3\u7b56\u6811\u4e0e\u6761\u4ef6\u6982\u7387\u5206\u5e03","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#514","title":"5.1.4 \u51b3\u7b56\u6811\u5b66\u4e60","text":"<ul> <li>\u51b3\u7b56\u6811\u5b66\u4e60\u672c\u8d28\u4e0a\u662f\u4ece\u8bad\u7ec3\u6570\u636e\u96c6\u4e2d\u5f52\u7eb3\u51fa\u4e00\u7ec4\u5206\u7c7b\u89c4\u5219</li> <li>\u5728\u635f\u5931\u51fd\u6570\u610f\u4e49\u4e0b\u9009\u62e9\u6700\u4f18\u51b3\u7b56\u6811\u7684\u95ee\u9898\uff0c\u662f NP \u5b8c\u5168\u95ee\u9898\uff0c\u91c7\u7528\u542f\u53d1\u5f0f\u65b9\u6cd5\uff0c\u8fd1\u4f3c\u6c42\u89e3\uff0c\u8fd9\u6837\u5f97\u5230\u7684\u51b3\u7b56\u6811\u662f\u6b21\u6700\u4f18\uff08sub-optimal\uff09</li> <li>\u4e3a\u4e86\u9632\u6b62\u8fc7\u62df\u5408\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u5df2\u751f\u6210\u7684\u6811\u81ea\u4e0a\u800c\u4e0b\u8fdb\u884c\u526a\u679d</li> <li>\u51b3\u7b56\u6811\u7684\u751f\u6210\u503c\u8003\u8651\u5c40\u90e8\u6700\u4f18\uff0c\u526a\u679d\u5219\u8003\u8651\u5168\u5c40\u6700\u4f18</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#52","title":"5.2 \u7279\u5f81\u9009\u62e9","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#521","title":"5.2.1 \u7279\u5f81\u9009\u62e9\u95ee\u9898","text":"<ul> <li>\u901a\u5e38\u7279\u5f81\u9009\u62e9\u7684\u51c6\u5219\u662f\u4fe1\u606f\u589e\u76ca\u6216\u4fe1\u606f\u589e\u76ca\u6bd4</li> <li>information gain</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#522","title":"5.2.2 \u4fe1\u606f\u589e\u76ca","text":"<ul> <li>\u71b5\u548c\u6761\u4ef6\u71b5</li> </ul> \\[ P(X=x_{i})=p_{i} ,\\quad i=1,2,\\cdots,n \\] \\[ H(X)=-\\sum_{i=1}^{n}p_{i}\\log p_{i} \\] \\[ H(p)=-\\sum_{i=1}^{n}p_{i}\\log p_{i} \\] \\[ 0\\leqslant H(p)\\leqslant\\log n \\] \\[ P(X=x_{i},Y=y_{j})=p_{ij} ,\\quad i=1,2,\\cdots,n ;\\quad j=1,2,\\cdots,m \\] \\[ H(Y\\mid X)=\\sum_{i=1}^{n}p_{i}H(Y\\mid X=x_{i}) \\] <ul> <li>mutual information </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#523","title":"5.2.3 \u4fe1\u606f\u589e\u76ca\u6bd4","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#53","title":"5.3 \u51b3\u7b56\u6811\u7684\u751f\u6210","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#531-id-3","title":"5.3.1 ID 3 \u7b97\u6cd5","text":"<ul> <li>ID 3 \u7b97\u6cd5\u53ea\u6709\u6811\u7684\u751f\u6210\uff0c\u6240\u4ee5\u8be5\u7b97\u6cd5\u751f\u6210\u7684\u6811\u5bb9\u6613\u4ea7\u751f\u8fc7\u62df\u5408</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#532-c-45","title":"5.3.2 C 4.5 \u7684\u751f\u6210\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#54","title":"5.4 \u51b3\u7b56\u6811\u7684\u526a\u679d","text":"<ul> <li>pruning</li> </ul> \\[ C_{\\alpha}(T)=\\sum_{t=1}^{|T|}N_{t}H_{t}(T)+\\alpha|T| \\] \\[ H_{t}(T)=-\\sum_{k}\\frac{N_{ik}}{N_{t}}\\log\\frac{N_{ik}}{N_{t}} \\] \\[ C(T)=\\sum_{t=1}^{|T|}N_{t}H_{t}(T)=-\\sum_{t=1}^{|T|}\\sum_{k=1}^{K}N_{tk}\\log\\frac{N_{tk}}{N_{t}} \\] \\[ C_{\\alpha}(T)=C(T)+\\alpha|T| \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#55-cart","title":"5.5 CART \u7b97\u6cd5","text":"<ul> <li>\u5206\u88c2\u4e0e\u56de\u5f52\u6811\uff08classification and regression tree\uff09</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#551-cart","title":"5.5.1 CART \u751f\u6210","text":"<ul> <li>\u5bf9\u56de\u5f52\u6811\u7528\u5e73\u65b9\u8bef\u5dee\u6700\u5c0f\u5316\u51c6\u5219</li> <li>\u5bf9\u5206\u7c7b\u6811\u7528\u57fa\u5c3c\u6307\u6570\uff08Gini index\uff09\u6700\u5c0f\u5316\u51c6\u5219 1. \u56de\u5f52\u6811\u7684\u751f\u6210</li> </ul> \\[ f(x)=\\sum_{m=1}^{M}c_{m}I(x\\in R_{m}) \\] \\[ \\hat{c}_{m}=\\mathrm{ave}(y_{i}\\mid x_{i}\\in R_{m}) \\] <ul> <li>splitting variable </li> <li>splitting point</li> </ul> \\[ R_{1}(j,s)=\\{x\\mid x^{(j)}\\leqslant s\\}\\quad\\text{\u548c}\\quad R_{2}(j,s)=\\{x\\mid x^{(j)}&gt;s\\} \\] \\[ \\min_{j,s}\\biggl[\\min_{c_{1}}\\sum_{x_{i}\\in R_{i}(j,s)}(y_{i}-c_{1})^{2}+\\min_{c_{2}}\\sum_{x_{i}\\in R_{2}(j,s)}(y_{i}-c_{2})^{2}\\biggr] \\] \\[ \\hat{c}_{1}=\\mathrm{ave}(y_{i}\\mid x_{i}\\in R_{1}(j,s))\\quad\\hat{\\text{\u548c}}\\quad\\hat{c}_{2}=\\mathrm{ave}(y_{i}\\mid x_{i}\\in R_{2}(j,s)) \\] <ul> <li>least squares regression tree  1. \u5206\u7c7b\u6811\u7684\u751f\u6210 </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#552-cart","title":"5.5.2 CART \u526a\u679d","text":"<ol> <li>\u526a\u679d\uff0c\u5f62\u6210\u4e00\u4e2a\u5b50\u6811\u5e8f\u5217</li> </ol> \\[ C_{\\alpha}(T)=C(T)+\\alpha\\left|T\\right| \\] \\[ g(t)=\\frac{C(t)-C(T_{t})}{\\mid T_{t}\\mid-1} \\] <ol> <li>\u5728\u526a\u679d\u5f97\u5230\u7684\u5b50\u6811\u5e8f\u5217 \\(\\displaystyle T_0,T_1,\\cdots,T_n\\) \u4e2d\u901a\u8fc7\u4ea4\u53c9\u9a8c\u8bc1\u9009\u53d6\u6700\u4f18\u5b50\u6811 \\(\\displaystyle T_{\\alpha}\\) </li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#6","title":"6 \u903b\u8f91\u65af\u8c1b\u56de\u5f52\u4e0e\u6700\u5927\u71b5\u6a21\u578b","text":"<ul> <li>logistic regression</li> <li>maximum entropy model</li> <li>\u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b\u548c\u6700\u5927\u71b5\u6a21\u578b\u90fd\u5c5e\u4e8e\u5bf9\u6570\u7ebf\u6027\u6a21\u578b</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#61","title":"6.1 \u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#611","title":"6.1.1 \u903b\u8f91\u65af\u8c1b\u5206\u5e03","text":"<ul> <li>logistic distribution </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#612","title":"6.1.2 \u4e8c\u9879\u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b","text":"<ul> <li>binomial logistic regression model </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#7","title":"7 \u652f\u6301\u5411\u91cf\u673a","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#8","title":"8 \u63d0\u5347\u65b9\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#9-displaystyle-boldsymbolem","title":"9 \\(\\displaystyle \\boldsymbol{EM}\\) \u7b97\u6cd5\u53ca\u5176\u63a8\u5e7f","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#10","title":"10 \u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#11_1","title":"11 \u6761\u4ef6\u968f\u673a\u573a","text":""},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/","title":"Image Classification-Data-driven Approach, k-Nearest Neighbor, train_val_test splits","text":"<p> \u7ea6 653 \u4e2a\u5b57  28 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#image-classification","title":"image classification","text":"<ul> <li>challenges<ul> <li>viewpoint variation</li> <li>scale variation</li> <li>deformation</li> <li>occlusion</li> <li>illumination conditions</li> <li>background clutter</li> <li>intra-class variation</li> </ul> </li> <li>data-driven approach</li> <li>the image classification pipeline<ul> <li>input</li> <li>learning<ul> <li>training a classifier</li> <li>learning a model</li> </ul> </li> <li>evaluation</li> </ul> </li> </ul>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#nearest-neighbor-classifier","title":"Nearest Neighbor Classifier","text":"\\[ d_1 (I_1, I_2) = \\sum_{p} \\left| I^p_1 - I^p_2 \\right| \\] Python<pre><code>import numpy as np\n\nclass NearestNeighbor(object):  \n  def **init**(self):  \n    pass\n\n  def train(self, X, y):  \n    \"\"\" X is N x D where each row is an example. Y is 1-dimension of size N \"\"\"  \n    # the nearest neighbor classifier simply remembers all the training data  \n    self.Xtr = X  \n    self.ytr = y\n\n  def predict(self, X):  \n    \"\"\" X is N x D where each row is an example we wish to predict label for \"\"\"  \n    num_test = X.shape[0]  \n    # lets make sure that the output type matches the input type  \n    Ypred = np.zeros(num_test, dtype = self.ytr.dtype)\n\n    # loop over all test rows\n    for i in range(num_test):\n      # find the nearest training image to the i'th test image\n      # using the L1 distance (sum of absolute value differences)\n      distances = np.sum(np.abs(self.Xtr - X[i,:]), axis = 1)\n      min_index = np.argmin(distances) # get the index with smallest distance\n      Ypred[i] = self.ytr[min_index] # predict the label of the nearest example\n\n    return Ypred\n</code></pre> \\[ d_2 (I_1, I_2) = \\sqrt{\\sum_{p} \\left( I^p_1 - I^p_2 \\right)^2} \\] Python<pre><code>distances = np.sqrt(np.sum(np.square(self.Xtr - X[i,:]), axis = 1))\n</code></pre>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#k-nearest-neighbor-classifier","title":"k - Nearest Neighbor Classifier","text":"<p>![[Pasted image 20241031202452.jpg]]</p>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#validation-sets-for-hyperparameter-tuning","title":"Validation sets for Hyperparameter tuning","text":"<p>Evaluate on the test only a single time, at the very end</p> <p>Split your training set into training set and a validation set. Use validation set to tune all hyperparameters. At the end run a single time on the test set and report performance.</p> <ul> <li>cross-validation</li> <li>single calidation split ![[Pasted image 20241031202849.png]]</li> </ul>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#pros-and-cons-of-nearest-neighbor-classifier","title":"Pros and Cons of Nearest Neighbor classifier","text":"<ul> <li>simple to implement and understand</li> <li>take no time to train</li> <li>however, pay a cost at test time</li> </ul> <p>As an aside, the computational complexity of the Nearest Neighbor classifier is an active area of research, and several\u00a0Approximate Nearest Neighbor\u00a0(ANN) algorithms and libraries exist that can accelerate the nearest neighbor lookup in a dataset (e.g.\u00a0FLANN). These algorithms allow one to trade off the correctness of the nearest neighbor retrieval with its space/time complexity during retrieval, and usually rely on a pre-processing/indexing stage that involves building a kdtree, or running the k-means algorithm.</p> <ul> <li>\\(\\displaystyle L_{2}\\) isn't enough sensitive</li> </ul> <p>In particular, note that images that are nearby each other are much more a function of the general color distribution of the images, or the type of background rather than their semantic identity.</p> <p>[!note]+ Applying kNN in practice 1. Preprocess your data: Normalize the features in your data (e.g. one pixel in images) to have zero mean and unit variance. We will cover this in more detail in later sections, and chose not to cover data normalization in this section because pixels in images are usually homogeneous and do not exhibit widely different distributions, alleviating the need for data normalization. 2. If your data is very high-dimensional, consider using a dimensionality reduction technique such as PCA (wiki ref,\u00a0CS229ref,\u00a0blog ref), NCA (wiki ref,\u00a0blog ref), or even\u00a0Random Projections. 3. Split your training data randomly into train/val splits. As a rule of thumb, between 70-90% of your data usually goes to the train split. This setting depends on how many hyperparameters you have and how much of an influence you expect them to have. If there are many hyperparameters to estimate, you should err on the side of having larger validation set to estimate them effectively. If you are concerned about the size of your validation data, it is best to split the training data into folds and perform cross-validation. If you can afford the computational budget it is always safer to go with cross-validation (the more folds the better, but more expensive). 4. Train and evaluate the kNN classifier on the validation data (for all folds, if doing cross-validation) for many choices of\u00a0k\u00a0(e.g. the more the better) and across different distance types (L1 and L2 are good candidates) 5. If your kNN classifier is running too long, consider using an Approximate Nearest Neighbor library (e.g.\u00a0FLANN) to accelerate the retrieval (at cost of some accuracy). 6. Take note of the hyperparameters that gave the best results. There is a question of whether you should use the full training set with the best hyperparameters, since the optimal hyperparameters might change if you were to fold the validation data into your training set (since the size of the data would be larger). In practice it is cleaner to not use the validation data in the final classifier and consider it to be\u00a0burned\u00a0on estimating the hyperparameters. Evaluate the best model on the test set. Report the test set accuracy and declare the result to be the performance of the kNN classifier on your data.</p> <p>[[more about Machine Learing]]</p>"},{"location":"AI/CS231n/Linear%20classification-Support%20Vector%20Machine%2C%20Softmax/","title":"Linear classification-Support Vector Machine, Softmax","text":"<p> \u7ea6 129 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p>"},{"location":"AI/CS231n/Linear%20classification-Support%20Vector%20Machine%2C%20Softmax/#linear-classifiaction","title":"Linear Classifiaction","text":"\\[ L_i = \\sum_{j\\neq y_i} \\max(0, s_j - s_{y_i} + \\Delta) \\] \\[ L = \\frac{1}{N} \\sum_i \\sum_{j\\neq y_i} \\left[ \\max(0, f(x_i; W)_j - f(x_i; W)_{y_i} + \\Delta) \\right] + \\lambda \\sum_k\\sum_l W_{k,l}^2 \\] \\[ L_i = -\\log\\left(\\frac{e^{f_{y_i}}}{ \\sum_j e^{f_j} }\\right) \\hspace{0.5in} \\text{or equivalently} \\hspace{0.5in} L_i = -f_{y_i} + \\log\\sum_j e^{f_j} \\] \\[ \\frac{e^{f_{y_i}}}{\\sum_j e^{f_j}} = \\frac{Ce^{f_{y_i}}}{C\\sum_j e^{f_j}} = \\frac{e^{f_{y_i} + \\log C}}{\\sum_j e^{f_j + \\log C}} \\] <p>![[Pasted image 20241031210509.png]]</p>"},{"location":"AI/CS231n/Python%20Numpy/","title":"Python Numpy","text":""},{"location":"AI/CS231n/Python%20Numpy/#python","title":"Python","text":""},{"location":"AI/CS231n/Python%20Numpy/#string","title":"string","text":"Python<pre><code>s = \"hello\"\nprint(s.capitalize())  # Capitalize a string; prints \"Hello\"\nprint(s.upper())       # Convert a string to uppercase; prints \"HELLO\"\nprint(s.rjust(7))      # Right-justify a string, padding with spaces; prints \"  hello\"\nprint(s.center(7))     # Center a string, padding with spaces; prints \" hello \"\nprint(s.replace('l', '(ell)'))  # Replace all instances of one substring with another;\n                                # prints \"he(ell)(ell)o\"\n&lt;div markdown=\"1\" style=\"margin-top: -30px; font-size: 0.75em; opacity: 0.7;\"&gt;\n:material-circle-edit-outline: \u7ea6 49 \u4e2a\u5b57 :fontawesome-solid-code: 104 \u884c\u4ee3\u7801 :material-clock-time-two-outline: \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f\n&lt;/div&gt;\nprint('  world '.strip())  # Strip leading and trailing whitespace; prints \"world\"\n</code></pre>"},{"location":"AI/CS231n/Python%20Numpy/#containers","title":"Containers","text":"Python<pre><code>animals = ['cat', 'dog', 'monkey']\nfor idx, animal in enumerate(animals):\n    print('#%d: %s' % (idx + 1, animal))\n# Prints \"#1: cat\", \"#2: dog\", \"#3: monkey\", each on its own line\n</code></pre> <p>\u5217\u8868\u63a8\u5bfc\u5f0f</p> Python<pre><code>nums = [0, 1, 2, 3, 4]\neven_squares = [x ** 2 for x in nums if x % 2 == 0]\nprint(even_squares)  # Prints \"[0, 4, 16]\"\n</code></pre> <p>\u540c\u6837\u4e5f\u6709\u5b57\u5178\u63a8\u5bfc\u5f0f</p> <p>Tuples \u53ef\u4ee5\u7528\u4f5c\u5b57\u5178\u4e2d\u7684\u952e\u548c\u96c6\u5408\u7684\u5143\u7d20\uff0c\u4f46\u662f lists \u4e0d\u80fd</p>"},{"location":"AI/CS231n/Python%20Numpy/#numpy","title":"Numpy","text":"Python<pre><code>import numpy as np\n\n# Create a new array from which we will select elements\na = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n\nprint(a)  # prints \"array([[ 1,  2,  3],\n          #                [ 4,  5,  6],\n          #                [ 7,  8,  9],\n          #                [10, 11, 12]])\"\n\n# Create an array of indices\nb = np.array([0, 2, 0, 1])\n\n# Select one element from each row of a using the indices in b\nprint(a[np.arange(4), b])  # Prints \"[ 1  6  7 11]\"\n\n# Mutate one element from each row of a using the indices in b\na[np.arange(4), b] += 10\n\nprint(a)  # prints \"array([[11,  2,  3],\n          #                [ 4,  5, 16],\n          #                [17,  8,  9],\n          #                [10, 21, 12]])\n</code></pre> Python<pre><code>import numpy as np\n\na = np.array([[1,2], [3, 4], [5, 6]])\n\nbool_idx = (a &gt; 2)   # Find the elements of a that are bigger than 2;\n                     # this returns a numpy array of Booleans of the same\n                     # shape as a, where each slot of bool_idx tells\n                     # whether that element of a is &gt; 2.\n\nprint(bool_idx)      # Prints \"[[False False]\n                     #          [ True  True]\n                     #          [ True  True]]\"\n\n# We use boolean array indexing to construct a rank 1 array\n# consisting of the elements of a corresponding to the True values\n# of bool_idx\nprint(a[bool_idx])  # Prints \"[3 4 5 6]\"\n\n# We can do all of the above in a single concise statement:\nprint(a[a &gt; 2])     # Prints \"[3 4 5 6]\"\n</code></pre> Python<pre><code>x = np.array([1, 2], dtype=np.int64)   # Force a particular datatype\nprint(x.dtype)                         # Prints \"int64\"\n</code></pre> Python<pre><code>import numpy as np\n\nx = np.array([[1,2],[3,4]], dtype=np.float64)\ny = np.array([[5,6],[7,8]], dtype=np.float64)\n\n# Elementwise sum; both produce the array\n# [[ 6.0  8.0]\n#  [10.0 12.0]]\nprint(x + y)\nprint(np.add(x, y))\n\n# Elementwise difference; both produce the array\n# [[-4.0 -4.0]\n#  [-4.0 -4.0]]\nprint(x - y)\nprint(np.subtract(x, y))\n\n# Elementwise product; both produce the array\n# [[ 5.0 12.0]\n#  [21.0 32.0]]\nprint(x * y)\nprint(np.multiply(x, y))\n\n# Elementwise division; both produce the array\n# [[ 0.2         0.33333333]\n#  [ 0.42857143  0.5       ]]\nprint(x / y)\nprint(np.divide(x, y))\n\n# Elementwise square root; produces the array\n# [[ 1.          1.41421356]\n#  [ 1.73205081  2.        ]]\nprint(np.sqrt(x))\n</code></pre> <p>\u5e7f\u64ad\u53ef\u4ee5\u907f\u514d\u5faa\u73af</p> Python<pre><code>import numpy as np\n\n# We will add the vector v to each row of the matrix x,\n# storing the result in the matrix y\nx = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\nv = np.array([1, 0, 1])\ny = x + v  # Add v to each row of x using broadcasting\nprint(y)  # Prints \"[[ 2  2  4]\n          #          [ 5  5  7]\n          #          [ 8  8 10]\n          #          [11 11 13]]\"\n</code></pre>"},{"location":"AI/CS231n/Python%20Numpy/#scipy","title":"SciPy","text":""},{"location":"AI/CS231n/Python%20Numpy/#matplotlib","title":"Matplotlib","text":""},{"location":"AI/EECS%20498-007/KNN/","title":"KNN","text":"<p> \u7ea6 374 \u4e2a\u5b57  100 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u5bf9\u4e8e\u4e00\u4e2a\u5f85\u5206\u7c7b\u7684\u6837\u672c\uff0c\u627e\u5230\u8bad\u7ec3\u6570\u636e\u96c6\u4e2d\u4e0e\u5176\u6700\u63a5\u8fd1\u7684K\u4e2a\u6837\u672c\uff08\u5373\u6700\u8fd1\u90bb\uff09\uff0c\u7136\u540e\u6839\u636e\u8fd9K\u4e2a\u6837\u672c\u7684\u7c7b\u522b\u6765\u51b3\u5b9a\u5f85\u5206\u7c7b\u6837\u672c\u7684\u7c7b\u522b\u3002</p>"},{"location":"AI/EECS%20498-007/KNN/#_1","title":"\u6570\u5b66\u63a8\u5bfc","text":"<p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u8bad\u7ec3\u6570\u636e\u96c6 \\(T = \\{(x_1, y_1), (x_2, y_2), \\ldots, (x_N, y_N)\\}\\)\uff0c\u5176\u4e2d \\(x_i\\) \u662f\u7279\u5f81\u5411\u91cf\uff0c \\(y_i\\) \u662f\u5bf9\u5e94\u7684\u7c7b\u522b\u6807\u7b7e\u3002\u5bf9\u4e8e\u4e00\u4e2a\u65b0\u7684\u5f85\u5206\u7c7b\u6837\u672c x\uff0cKNN\u7b97\u6cd5\u7684\u76ee\u6807\u662f\u9884\u6d4b\u5176\u7c7b\u522b \\(y\\) \u3002</p> <ol> <li>\u8ddd\u79bb\u5ea6\u91cf\uff1a\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u8ddd\u79bb\u5ea6\u91cf\u6765\u8ba1\u7b97\u5f85\u5206\u7c7b\u6837\u672c \\(x\\) \u4e0e\u8bad\u7ec3\u96c6\u4e2d\u6bcf\u4e2a\u6837\u672c \\(x_i\\) \u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u5e38\u7528\u7684\u8ddd\u79bb\u5ea6\u91cf\u5305\u62ec\u6b27\u6c0f\u8ddd\u79bb\uff08Euclidean distance\uff09\u3001\u66fc\u54c8\u987f\u8ddd\u79bb\uff08Manhattan distance\uff09\u548c\u95f5\u53ef\u592b\u65af\u57fa\u8ddd\u79bb\uff08Minkowski distance\uff09\u3002\u4ee5\u6b27\u6c0f\u8ddd\u79bb\u4e3a\u4f8b\uff0c\u4e24\u4e2a\u6837\u672c \\(x\\) \u548c \\(x_i\\) \u4e4b\u95f4\u7684\u8ddd\u79bb\u5b9a\u4e49\u4e3a\uff1a</li> </ol> \\[    d(x, x_i) = \\sqrt{\\sum_{j=1}^{d} (x_j - x_{i,j})^2} \\] <p>\u5176\u4e2d\uff0c \\(d\\) \u662f\u7279\u5f81\u7684\u7ef4\u5ea6\u3002</p> <ol> <li>\u5bfb\u627e\u6700\u8fd1\u90bb\uff1a\u7136\u540e\uff0c\u6211\u4eec\u6839\u636e\u8ba1\u7b97\u51fa\u7684\u8ddd\u79bb\uff0c\u9009\u62e9\u8ddd\u79bb\u6700\u8fd1\u7684K\u4e2a\u6837\u672c\uff0c\u6784\u6210\u5f85\u5206\u7c7b\u6837\u672c\u7684\u90bb\u57df \\(N_k(x)\\)\u3002</li> <li>\u51b3\u7b56\u89c4\u5219\uff1a\u6700\u540e\uff0c\u6839\u636e\u90bb\u57df \\( N_k(x) \\) \u4e2d\u7684\u6837\u672c\u7c7b\u522b\uff0c\u901a\u8fc7\u591a\u6570\u6295\u7968\u7684\u65b9\u5f0f\u6765\u51b3\u5b9a\u5f85\u5206\u7c7b\u6837\u672c\u7684\u7c7b\u522b\u3002\u5373\uff1a</li> </ol> \\[     y = \\arg\\max_{c_j} \\sum_{x_i \\in N_k(x)} I(y_i = c_j) \\] <p>\u5176\u4e2d\uff0c \\(I\\) \u662f\u6307\u793a\u51fd\u6570\uff0c\u5f53 \\(y_i = c_j\\) \u65f6\u53d6\u503c\u4e3a1\uff0c\u5426\u5219\u4e3a0\u3002</p>"},{"location":"AI/EECS%20498-007/KNN/#_2","title":"\u4f5c\u4e1a\u4e2d\u7684\u5b9e\u73b0","text":"Python<pre><code>import torch\n\ndef compute_distances_two_loops(x_train, x_test):\n  num_train = x_train.shape[0]\n  num_test = x_test.shape[0]\n  dists = x_train.new_zeros(num_train, num_test)\n\n  for i in range(num_train):\n    for j in range(num_test):\n      dists[i,j] = ((x_train[i] - x_test[j]) ** 2).sum() ** (1/2)\n\n  return dists\n\ndef compute_distances_one_loop(x_train, x_test):\n  num_train = x_train.shape[0]\n  num_test = x_test.shape[0]\n  dists = x_train.new_zeros(num_train, num_test)\n\n  for i in range(num_train):\n    dists[i] = ((x_train[i] - x_test) ** 2).sum(dim=(1,2,3)) ** (1/2)\n\n  return dists\n\ndef compute_distances_no_loops(x_train, x_test):\n  num_train = x_train.shape[0]\n  num_test = x_test.shape[0]\n  dists = x_train.new_zeros(num_train, num_test)\n\n  A = x_train.reshape(num_train, -1)\n  B = x_test.reshape(num_test, -1)\n  AB2 = A.mm(B.T) * 2\n  dists = ((A ** 2).sum(dim=1).reshape(-1, 1) - AB2 + (B ** 2).sum(dim=1).reshape(1, -1)) ** (1/2)\n\n  return dists\n\ndef predict_labels(dists, y_train, k=1):\n  num_train, num_test = dists.shape\n  y_pred = torch.zeros(num_test, dtype=torch.int64)\n\n  values, indices = torch.topk(dists, k, dim=0, largest=False)\n  for i in range(indices.shape[1]):\n    _, idx = torch.max(y_train[indices[:, i]].bincount(), dim=0)\n    y_pred[i] = idx\n\n  return y_pred\n\nclass KnnClassifier:\n  def __init__(self, x_train, y_train):\n    self.x_train = x_train\n    self.y_train = y_train\n\n  def predict(self, x_test, k=1):\n    dists = compute_distances_no_loops(self.x_train, x_test)\n    y_test_pred = predict_labels(dists, self.y_train, k)\n    return y_test_pred\n\n  def check_accuracy(self, x_test, y_test, k=1, quiet=False):\n    y_test_pred = self.predict(x_test, k=k)\n    num_samples = x_test.shape[0]\n    num_correct = (y_test == y_test_pred).sum().item()\n    accuracy = 100.0 * num_correct / num_samples\n    msg = (f'Got {num_correct} / {num_samples} correct; accuracy is {accuracy:.2f}%')\n    if not quiet:\n      print(msg)\n    return accuracy\n\ndef knn_cross_validate(x_train, y_train, num_folds=5, k_choices=None):\n  if k_choices is None:\n    k_choices = [1, 3, 5, 8, 10, 12, 15, 20, 50, 100]\n\n  x_train_folds = torch.chunk(x_train, num_folds, dim=0)\n  y_train_folds = torch.chunk(y_train, num_folds, dim=0)\n\n  k_to_accuracies = {}\n\n  for k in k_choices:\n    list_of_acc = []\n    for num_fold in range(num_folds):\n      x_train_folds_local = [x for x in x_train_folds]\n      y_train_folds_local = [x for x in y_train_folds]\n      x_test = x_train_folds_local[num_fold]\n      y_test = y_train_folds_local[num_fold]\n      del x_train_folds_local[num_fold]\n      del y_train_folds_local[num_fold]\n      x_train = torch.cat(x_train_folds_local, dim=0)\n      y_train = torch.cat(y_train_folds_local, dim=0)\n      classifier = KnnClassifier(x_train, y_train)\n      list_of_acc.append(classifier.check_accuracy(x_test, y_test, k))\n    k_to_accuracies[k] = list_of_acc\n\n  return k_to_accuracies\n\ndef knn_get_best_k(k_to_accuracies):\n  best_k = 0\n  new_dict = {}\n  for k, accs in sorted(k_to_accuracies.items()):\n    new_dict[k] = sum(accs) / len(accs) \n  max_value = max(new_dict.values())\n  best_k = [k for k, v in new_dict.items() if v == max_value][0]\n  return best_k\n</code></pre>"},{"location":"AI/EECS%20498-007/linear_classifer/","title":"Linear classifer","text":"<p> \u7ea6 677 \u4e2a\u5b57  216 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_1","title":"\u539f\u7406","text":"<p>\u4e24\u79cd\u7ebf\u6027\u5206\u7c7b\u5668\uff1a\u652f\u6301\u5411\u91cf\u673a\uff08SVM\uff09\u548cSoftmax\u5206\u7c7b\u5668\u3002\u8fd9\u4e24\u79cd\u5206\u7c7b\u5668\u90fd\u662f\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\uff0c\u7528\u4e8e\u5206\u7c7b\u4efb\u52a1\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#svm","title":"\u652f\u6301\u5411\u91cf\u673a\uff08SVM\uff09","text":"<p>SVM\u7684\u76ee\u6807\u662f\u627e\u5230\u4e00\u4e2a\u8d85\u5e73\u9762\uff0c\u5b83\u53ef\u4ee5\u6700\u5927\u5316\u4e0d\u540c\u7c7b\u522b\u4e4b\u95f4\u7684\u8fb9\u754c\u3002\u8fd9\u4e2a\u8d85\u5e73\u9762\u88ab\u79f0\u4e3a\u6700\u4f18\u5206\u5272\u8d85\u5e73\u9762\u3002\u5bf9\u4e8e\u4e8c\u5206\u7c7b\u95ee\u9898\uff0cSVM\u7684\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W, b) = \\frac{1}{N} \\sum_{i=1}^{N} \\max(0, 1 - y_i (W \\cdot x_i + b)) \\] <p>\u5176\u4e2d\uff0c\\(W\\) \u662f\u6743\u91cd\u5411\u91cf\uff0c\\(b\\) \u662f\u504f\u7f6e\u9879\uff0c\\(x_i\\) \u662f\u8f93\u5165\u7279\u5f81\uff0c\\(y_i\\) \u662f\u6807\u7b7e\uff08-1\u62161\uff09\uff0c\\(N\\) \u662f\u6837\u672c\u6570\u91cf\u3002</p> <p>\u4e3a\u4e86\u5b9e\u73b0\u591a\u5206\u7c7b\uff0c\u6211\u4eec\u4f7f\u7528\u7ed3\u6784\u5316SVM\u635f\u5931\u51fd\u6570\uff0c\u5b83\u8003\u8651\u4e86\u6bcf\u4e2a\u7c7b\u522b\u7684\u5206\u6570\uff0c\u5e76\u5c1d\u8bd5\u6700\u5927\u5316\u6b63\u786e\u7c7b\u522b\u7684\u5206\u6570\u4e0e\u6b21\u9ad8\u7c7b\u522b\u5206\u6570\u4e4b\u95f4\u7684\u5dee\u8ddd\u3002\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W) = \\frac{1}{N} \\sum_{i=1}^{N} \\sum_{j \\neq y_i} \\max(0, \\text{score}_j - \\text{score}_{y_i} + \\Delta) \\] <p>\u5176\u4e2d\uff0c\\(\\text{score}_j = W_j \\cdot x_i\\)\uff0c\\(\\Delta\\) \u662f\u4e00\u4e2a\u5e38\u6570\uff0c\u901a\u5e38\u8bbe\u7f6e\u4e3a1\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#softmax","title":"Softmax\u5206\u7c7b\u5668","text":"<p>Softmax\u5206\u7c7b\u5668\u4f7f\u7528Softmax\u51fd\u6570\u5c06\u8f93\u5165\u7279\u5f81\u6620\u5c04\u5230\u6982\u7387\u5206\u5e03\u4e0a\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u6837\u672c\uff0cSoftmax\u51fd\u6570\u8f93\u51fa\u6bcf\u4e2a\u7c7b\u522b\u7684\u6982\u7387\u3002Softmax\u51fd\u6570\u5b9a\u4e49\u4e3a\uff1a</p> \\[ \\text{softmax}(z_i) = \\frac{e^{z_i}}{\\sum_{j=1}^{K} e^{z_j}} \\] <p>\u5176\u4e2d\uff0c\\(z_i\\) \u662f\u7b2c\\(i\\)\u4e2a\u7c7b\u522b\u7684\u5206\u6570\uff0c\\(K\\) \u662f\u7c7b\u522b\u603b\u6570\u3002</p> <p>Softmax\u5206\u7c7b\u5668\u7684\u635f\u5931\u51fd\u6570\u662f\u4ea4\u53c9\u71b5\u635f\u5931\uff0c\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W) = -\\frac{1}{N} \\sum_{i=1}^{N} \\sum_{j=1}^{K} y_{ij} \\log(\\text{softmax}(z_j)) \\] <p>\u5176\u4e2d\uff0c\\(y_{ij}\\) \u662f\u4e00\u4e2a\u6307\u793a\u53d8\u91cf\uff0c\u5982\u679c\u6837\u672c\\(i\\)\u5c5e\u4e8e\u7c7b\u522b\\(j\\)\uff0c\u5219\u4e3a1\uff0c\u5426\u5219\u4e3a0\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_2","title":"\u6b63\u5219\u5316","text":"<p>\u4e3a\u4e86\u9632\u6b62\u8fc7\u62df\u5408\uff0c\u6211\u4eec\u5728\u635f\u5931\u51fd\u6570\u4e2d\u6dfb\u52a0\u4e86\u6b63\u5219\u5316\u9879\u3002L2\u6b63\u5219\u5316\u7684\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W) = L(W) + \\lambda \\lVert W \\rVert^2 \\] <p>\u5176\u4e2d\uff0c\\(\\lambda\\) \u662f\u6b63\u5219\u5316\u5f3a\u5ea6\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_3","title":"\u4ee3\u7801\u5b9e\u73b0","text":"<p>\u4ee3\u7801\u4e2d\u5b9e\u73b0\u4e86\u4e24\u79cd\u635f\u5931\u51fd\u6570\u7684\u6734\u7d20\u7248\u672c\uff08<code>svm_loss_naive</code> \u548c <code>softmax_loss_naive</code>\uff09\u548c\u5411\u91cf\u5316\u7248\u672c\uff08<code>svm_loss_vectorized</code> \u548c <code>softmax_loss_vectorized</code>\uff09\u3002\u5411\u91cf\u5316\u7248\u672c\u901a\u8fc7\u907f\u514d\u663e\u5f0f\u5faa\u73af\u6765\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u3002</p> <p>\u8bad\u7ec3\u8fc7\u7a0b\uff08<code>train_linear_classifier</code>\uff09\u4f7f\u7528\u968f\u673a\u68af\u5ea6\u4e0b\u964d\uff08SGD\uff09\u6765\u4f18\u5316\u635f\u5931\u51fd\u6570\u3002\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u6211\u4eec\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6279\u6b21\u7684\u6837\u672c\uff0c\u8ba1\u7b97\u635f\u5931\u548c\u68af\u5ea6\uff0c\u7136\u540e\u66f4\u65b0\u6743\u91cd\u3002</p> <p>\u9884\u6d4b\u8fc7\u7a0b\uff08<code>predict_linear_classifier</code>\uff09\u4f7f\u7528\u8bad\u7ec3\u597d\u7684\u6743\u91cd\u6765\u9884\u6d4b\u65b0\u6837\u672c\u7684\u7c7b\u522b\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_4","title":"\u8d85\u53c2\u6570\u641c\u7d22","text":"<p>\u4ee3\u7801\u4e2d\u8fd8\u5305\u542b\u4e86\u8d85\u53c2\u6570\u641c\u7d22\u7684\u51fd\u6570\uff08<code>svm_get_search_params</code> \u548c <code>softmax_get_search_params</code>\uff09\uff0c\u5b83\u4eec\u8fd4\u56de\u4e0d\u540c\u7684\u5b66\u4e60\u7387\u548c\u6b63\u5219\u5316\u5f3a\u5ea6\u7684\u5019\u9009\u503c\uff0c\u4ee5\u4fbf\u627e\u5230\u6700\u4f73\u7684\u6a21\u578b\u53c2\u6570\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_5","title":"\u4f5c\u4e1a\u5b9e\u73b0","text":"Python<pre><code>import torch\nimport random\nfrom abc import abstractmethod\n\ndef hello_linear_classifier():\n  print('Hello from linear_classifier.py!')\n\nclass LinearClassifier(object):\n  def __init__(self):\n    random.seed(0)\n    torch.manual_seed(0)\n    self.W = None\n\n  def train(self, X_train, y_train, learning_rate=1e-3, reg=1e-5, num_iters=100,\n            batch_size=200, verbose=False):\n    train_args = (self.loss, self.W, X_train, y_train, learning_rate, reg,\n                  num_iters, batch_size, verbose)\n    self.W, loss_history = train_linear_classifier(*train_args)\n    return loss_history\n\n  def predict(self, X):\n    return predict_linear_classifier(self.W, X)\n\n  @abstractmethod\n  def loss(self, W, X_batch, y_batch, reg):\n    raise NotImplementedError\n\n  def _loss(self, X_batch, y_batch, reg):\n    self.loss(self.W, X_batch, y_batch, reg)\n\n  def save(self, path):\n    torch.save({'W': self.W}, path)\n    print(\"Saved in {}\".format(path))\n\n  def load(self, path):\n    W_dict = torch.load(path, map_location='cpu')\n    self.W = W_dict['W']\n    print(\"load checkpoint file: {}\".format(path))\n\n\nclass LinearSVM(LinearClassifier):\n  def loss(self, W, X_batch, y_batch, reg):\n    return svm_loss_vectorized(W, X_batch, y_batch, reg)\n\n\nclass Softmax(LinearClassifier):\n  def loss(self, W, X_batch, y_batch, reg):\n    return softmax_loss_vectorized(W, X_batch, y_batch, reg)\n\n\ndef svm_loss_naive(W, X, y, reg):\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n  loss = 0.0\n  for i in range(num_train):\n    scores = W.t().mv(X[i])\n    correct_class_score = scores[y[i]]\n    for j in range(num_classes):\n      if j == y[i]:\n        continue\n      margin = scores[j] - correct_class_score + 1\n      if margin &gt; 0:\n        loss += margin\n        dW[:, j] += X[i]\n        dW[:, y[i]] -= X[i]\n\n  loss /= num_train\n  loss += reg * torch.sum(W * W)\n  dW /= num_train\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef svm_loss_vectorized(W, X, y, reg):\n  loss = 0.0\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n  scores = X.mm(W)\n  correct_class_score = scores[range(num_train), y]\n  margin = scores - correct_class_score.view(-1, 1) + 1\n  margin[range(num_train), y] = 0\n  mask = (margin &gt; 0)\n  loss = margin[mask].sum()\n  mask_correct_y = torch.zeros_like(scores, dtype=torch.bool)\n  mask_correct_y[range(num_train), y] = True\n  margin[margin &gt; 0] = 1\n  margin[margin &lt; 0] = 0\n  margin[mask_correct_y] = torch.sum(margin, axis=1) * -1\n  dW = margin.T.mm(X).T\n  loss /= num_train\n  dW /= num_train\n  loss += reg * torch.sum(W * W)\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef sample_batch(X, y, num_train, batch_size):\n  indices = torch.randint(num_train, (batch_size,))\n  y_batch = y[indices]\n  X_batch = X[indices]\n  return X_batch, y_batch\n\n\ndef train_linear_classifier(loss_func, W, X, y, learning_rate=1e-3,\n                            reg=1e-5, num_iters=100, batch_size=200,\n                            verbose=False):\n  num_train, dim = X.shape\n  if W is None:\n    num_classes = torch.max(y) + 1\n    W = 0.000001 * torch.randn(dim, num_classes, device=X.device, dtype=X.dtype)\n  else:\n    num_classes = W.shape[1]\n\n  loss_history = []\n  for it in range(num_iters):\n    X_batch, y_batch = sample_batch(X, y, num_train, batch_size)\n    loss, grad = loss_func(W, X_batch, y_batch, reg)\n    loss_history.append(loss.item())\n    W -= learning_rate * grad\n    if verbose and it % 100 == 0:\n      print('iteration %d / %d: loss %f' % (it, num_iters, loss))\n\n  return W, loss_history\n\n\ndef predict_linear_classifier(W, X):\n  y_pred = torch.zeros(X.shape[0], dtype=torch.int64)\n  _, y_pred = X.mm(W).max(dim=1)\n  return y_pred\n\n\ndef svm_get_search_params():\n  learning_rates = [0.000001, 0.0001, 0.001, 0.005, 0.01, 0.05]\n  regularization_strengths = [0.001, 0.5, 1, 3]\n  return learning_rates, regularization_strengths\n\n\ndef test_one_param_set(cls, data_dict, lr, reg, num_iters=2000):\n  train_acc = 0.0\n  val_acc = 0.0\n  cls.train(data_dict['X_train'], data_dict['y_train'], lr, reg, num_iters,\n            batch_size=200, verbose=False)\n  y_train_pred = cls.predict(data_dict['X_train'])\n  train_acc = 100.0 * (data_dict['y_train'] == y_train_pred).double().mean().item()\n\n  y_test_pred = cls.predict(data_dict['X_val'])\n  val_acc = 100.0 * (data_dict['y_val'] == y_test_pred).double().mean().item()\n\n  return cls, train_acc, val_acc\n\n\ndef softmax_loss_naive(W, X, y, reg):\n  loss = 0.0\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n\n  scores = W.t().mv(X[0])\n  correct_class_score = scores[y[0]]\n\n  for i in range(num_train):\n    scores = W.t().mv(X[i])\n    scores = scores - scores.max()\n    correct_class_score = scores[y[i]]\n    loss += -correct_class_score + torch.log(torch.exp(scores).sum())\n    for j in range(num_classes):\n      if j == y[i]:\n        dW[:, j] += torch.exp(scores[j]) / torch.exp(scores).sum() * X[i, :] - X[i, :]\n      else:\n        dW[:, j] += torch.exp(scores[j]) / torch.exp(scores).sum() * X[i, :]\n\n  loss /= num_train\n  loss += reg * torch.sum(W * W)\n  dW /= num_train\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef softmax_loss_vectorized(W, X, y, reg):\n  loss = 0.0\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n\n\n  scores = X.mm(W)\n  val, _ = scores.max(dim=1)\n  scores = scores - val.view(-1, 1)\n  exp_scores = scores.exp()\n  exp_scores_sum = exp_scores.sum(dim=1)\n  exp_scores_sum_log = exp_scores_sum.log()\n  correct_class_scores = scores[range(num_train), y]\n  loss = (exp_scores_sum_log - correct_class_scores).sum()\n  zeros = torch.zeros((num_train, num_classes), dtype=torch.float64, device='cuda')\n  zeros[range(num_train), y] = -1\n  minus_X = zeros.t().mm(X)\n  dW += minus_X.t()\n  dW += ((exp_scores / exp_scores_sum.view(-1, 1)).t().mm(X)).t()\n\n  loss /= num_train\n  loss += reg * torch.sum(W * W)\n  dW /= num_train\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef softmax_get_search_params():\n  learning_rates = [1e-4, 1e-3,1e-2, 1e-1, 1]\n  regularization_strengths = [1e-4, 1e-3, 1e-2, 1e-1] \n  return learning_rates, regularization_strengths\n</code></pre>"},{"location":"AI/EECS%20498-007/pytorch%20%E7%9A%84%E5%9F%BA%E6%9C%AC%E4%BD%BF%E7%94%A8/","title":"pytorch \u7684\u57fa\u672c\u4f7f\u7528","text":"<p> \u7ea6 564 \u4e2a\u5b57  45 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> Python<pre><code># Create a rank 1 tensor from a Python list\na = torch.tensor([[1, 2, 3], [4, 5, 6]])\nprint('Here is a:')\nprint(a)\nprint('type(a): ', type(a))\nprint('rank of a: ', a.dim())\nprint('a.shape: ', a.shape)\n\ntorch.zeros(2, 3)\ntorch.ones(2, 3)\ntorch.eye(3)\ntorch.rand(2, 3)\ntorch.full((M, N), 3.14)\n\ny2 = torch.tensor([1, 2], dtype=torch.int64)\nprint(y2.dtype)\n\nx3 = x0.to(torch.float32)\n\nx0 = torch.eye(3, dtype=torch.float64) \u00a0# Shape (3, 3), dtype torch.float64\nx1 = torch.zeros_like(x0) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # Shape (3, 3), dtype torch.float64\nx2 = x0.new_zeros(4, 5) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # Shape (4, 5), dtype torch.float64\nx3 = torch.ones(6, 7).to(x0) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0# Shape (6, 7), dtype torch.float64\n</code></pre> <p>Even though PyTorch provides a large number of numeric datatypes, the most commonly used datatypes are:</p> <ul> <li><code>torch.float32</code>: Standard floating-point type; used to store learnable parameters, network activations, etc. Nearly all arithmetic is done using this type.</li> <li><code>torch.int64</code>: Typically used to store indices</li> <li><code>torch.bool</code>: Stores boolean values: 0 is false and 1 is true</li> <li><code>torch.float16</code>: Used for mixed-precision arithmetic, usually on NVIDIA GPUs with tensor cores. You won't need to worry about this datatype in this course.</li> <li>\u6ce8\u610f <code>a[:, 1]</code> \u548c <code>a[:, 1:2]</code> \u7684\u533a\u522b\uff0c\u540e\u8005\u4f1a\u4fdd\u7559\u7684\u591a\u4e00\u70b9</li> <li><code>clone()</code> \u4ee5\u540e\u7684\u53d8\u91cf\u8ddf\u539f\u53d8\u91cf\u662f\u72ec\u7acb\u7684\uff0c\u4f46\u662f\u7b49\u53f7\u76f4\u63a5\u8d4b\u503c\u7684\u662f\u540c\u4e00\u4e2a\u6307\u9488</li> </ul> Python<pre><code>mask = (a &gt; 3)\nprint('\\nMask tensor:')\nprint(mask)\n# Mask tensor: tensor([[False, False], [False, True], [ True, True]])\n</code></pre> <ul> <li>As its name implies, a tensor returned by <code>.view()</code> shares the same data as the input, so changes to one will affect the other.</li> </ul> Reshape\u548cview\u7684\u533a\u522b <ol> <li>\u5185\u5b58\u8fde\u7eed\u6027\uff1a<ul> <li><code>view</code> \u8981\u6c42\u539f\u59cb\u5f20\u91cf\u548c\u76ee\u6807\u5f20\u91cf\u5728\u5185\u5b58\u4e2d\u662f\u8fde\u7eed\u7684\u3002\u5982\u679c\u539f\u59cb\u5f20\u91cf\u4e0d\u662f\u8fde\u7eed\u7684\uff0c <code>view</code> \u4f1a\u9996\u5148\u8c03\u7528 <code>contiguous</code> \u65b9\u6cd5\u4f7f\u5176\u8fde\u7eed\uff0c\u7136\u540e\u6539\u53d8\u5f62\u72b6\u3002\u5982\u679c\u5f20\u91cf\u5df2\u7ecf\u662f\u8fde\u7eed\u7684\uff0c <code>view</code> \u64cd\u4f5c\u4e0d\u4f1a\u590d\u5236\u6570\u636e\u3002</li> <li><code>reshape</code>\u4e0d\u8981\u6c42\u539f\u59cb\u5f20\u91cf\u662f\u8fde\u7eed\u7684\u3002\u5982\u679c\u539f\u59cb\u5f20\u91cf\u4e0d\u662f\u8fde\u7eed\u7684\uff0c<code>reshape</code>\u4f1a\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u5f20\u91cf\u5e76\u590d\u5236\u6570\u636e\uff0c\u4ee5\u786e\u4fdd\u65b0\u5f20\u91cf\u662f\u8fde\u7eed\u7684\u3002</li> </ul> </li> <li>\u8fd4\u56de\u503c<ul> <li><code>view</code>\u8fd4\u56de\u4e00\u4e2a\u65b0\u7684\u5f20\u91cf\uff0c\u5b83\u4e0e\u539f\u59cb\u5f20\u91cf\u5171\u4eab\u76f8\u540c\u7684\u6570\u636e\uff0c\u4f46\u662f\u6709\u4e0d\u540c\u7684\u5f62\u72b6\u3002\u5982\u679c\u539f\u59cb\u5f20\u91cf\u4e0d\u662f\u8fde\u7eed\u7684\uff0c<code>view</code>\u4f1a\u8fd4\u56de\u4e00\u4e2a\u526f\u672c\u3002</li> <li><code>reshape</code>\u4e5f\u8fd4\u56de\u4e00\u4e2a\u65b0\u7684\u5f20\u91cf\uff0c\u4f46\u603b\u662f\u521b\u5efa\u6570\u636e\u7684\u526f\u672c\uff0c\u5373\u4f7f\u539f\u59cb\u5f20\u91cf\u662f\u8fde\u7eed\u7684\u3002</li> </ul> </li> <li>\u4f7f\u7528\u573a\u666f\uff1a<ul> <li>\u5f53\u4f60\u786e\u5b9a\u539f\u59cb\u5f20\u91cf\u662f\u8fde\u7eed\u7684\uff0c\u5e76\u4e14\u4f60\u60f3\u8981\u907f\u514d\u4e0d\u5fc5\u8981\u7684\u6570\u636e\u590d\u5236\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528<code>view</code>\u3002</li> <li>\u5f53\u4f60\u4e0d\u786e\u5b9a\u539f\u59cb\u5f20\u91cf\u662f\u5426\u8fde\u7eed\uff0c\u6216\u8005\u4f60\u60f3\u8981\u786e\u4fdd\u64cd\u4f5c\u4e0d\u4f1a\u56e0\u975e\u8fde\u7eed\u6027\u800c\u5931\u8d25\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528<code>reshape</code>\u3002</li> </ul> </li> <li>\u53c2\u6570\uff1a<ul> <li><code>view</code>\u7684\u53c2\u6570\u662f\u76ee\u6807\u5f62\u72b6\u7684\u7ef4\u5ea6\u3002</li> <li><code>reshape</code>\u7684\u53c2\u6570\u4e5f\u662f\u76ee\u6807\u5f62\u72b6\u7684\u7ef4\u5ea6\uff0c\u4f46\u5b83\u53ef\u4ee5\u63a5\u53d7\u4e00\u4e2a\u989d\u5916\u7684\u53c2\u6570<code>inplace</code>\uff0c\u5982\u679c\u8bbe\u7f6e\u4e3a<code>True</code>\uff0c\u5219\u4f1a\u5728\u539f\u5730\u4fee\u6539\u5f20\u91cf\u7684\u5f62\u72b6\u3002</li> </ul> </li> </ol> <ul> <li><code>torch.sin(x)</code> \u548c <code>x.sin()</code> \u662f\u7b49\u4ef7\u7684</li> </ul> Python<pre><code>x = torch.tensor([[1, 2, 3],\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [4, 5, 6]], dtype=torch.float32)\nprint('Original tensor:')\nprint(x)\n\nprint('\\nSum over entire tensor:')\nprint(torch.sum(x))\nprint(x.sum())\n\n# We can sum over each row:\nprint('\\nSum of each row:')\nprint(torch.sum(x, dim=0))\nprint(x.sum(dim=0))\n\n# Sum over each column:\nprint('\\nSum of each column:')\nprint(torch.sum(x, dim=1))\nprint(x.sum(dim=1))\n</code></pre> <ul> <li><code>torch.dot</code>: Computes inner product of vectors</li> <li><code>torch.mm</code>: Computes matrix-matrix products</li> <li><code>torch.mv</code>: Computes matrix-vector products</li> <li><code>torch.addmm</code> / <code>torch.addmv</code>: Computes matrix-matrix and matrix-vector multiplications plus a bias</li> <li><code>torch.bmm</code> / <code>torch.baddmm</code>: Batched versions of <code>torch.mm</code> and <code>torch.addmm</code>, respectively</li> <li><code>torch.matmul</code>: General matrix product that performs different operations depending on the rank of the inputs. Confusingly, this is similar to <code>np.dot</code> in numpy.</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/","title":"\u6df1\u5165\u7406\u89e3\u8ba1\u7b97\u673a\u7cfb\u7edf","text":"<p> \u7ea6 1012 \u4e2a\u5b57  36 \u884c\u4ee3\u7801  14 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#1","title":"1 \u8ba1\u7b97\u673a\u7cfb\u7edf\u6f2b\u6e38","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#2","title":"2 \u4fe1\u606f\u7684\u8868\u793a\u548c\u5904\u7406","text":"<ul> <li>\u628a\u4f4d\u7ec4\u5408\u518d\u4e00\u8d77\uff0c\u518d\u52a0\u4e0a interpretation</li> <li>\u4e09\u79cd\u91cd\u8981\u7684\u6570\u5b57\u8868\u793a<ul> <li>unsigned</li> <li>two's-complement</li> <li>floating-point</li> </ul> </li> <li>overflow</li> <li>\u6d6e\u70b9\u6570\u662f\u8fd1\u4f3c\u7684</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#21","title":"2.1 \u4fe1\u606f\u5b58\u50a8","text":"<ul> <li>1 byte = 8 bits</li> <li>virtual memory </li> <li>address<ul> <li>virtual address space</li> </ul> </li> <li>\u8bb2\u5b58\u50a8\u5668\u7a7a\u95f4\u5212\u5206\u4e3a\u66f4\u53ef\u7ba1\u7406\u7684\u5355\u5143\uff0c\u6765\u5b58\u653e\u4e0d\u540c\u7684 program object</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#211","title":"2.1.1 \u5341\u516d\u8fdb\u5236\u8868\u793a\u6cd5","text":"<ul> <li>0x...</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#212","title":"2.1.2 \u5b57\u6570\u636e\u5927\u5c0f","text":"<ul> <li>word size </li> <li>nominal size</li> <li>\u5b57\u957f\u51b3\u5b9a\u7684\u6700\u91cd\u8981\u7684\u7cfb\u7edf\u53c2\u6570\u5c31\u662f\u865a\u62df\u5730\u5740\u7a7a\u95f4\u7684\u6700\u5927\u5927\u5c0f<ul> <li>\u5b57\u957f\u4e3a \\(\\displaystyle \\omega\\) \u4e3a\u7684\u673a\u5668\uff0c\u865a\u62df\u5730\u5740\u7684\u8303\u56f4\u4e3a \\(\\displaystyle 0\\sim2^{\\omega} - 1\\)</li> <li>\u5927\u591a\u6570 64 \u4f4d\u673a\u5668\u53ef\u4ee5\u8fd0\u884c 32 \u4f4d\u673a\u5668\u7f16\u8bd1\u7684\u7a0b\u5e8f\uff0c\u5373\u5411\u540e\u517c\u5bb9 </li> </ul> </li> <li>\u4e3a\u4e86\u907f\u514d\u5927\u5c0f\u548c\u4e0d\u540c\u7f16\u8bd1\u5668\u8bbe\u7f6e\u5e26\u6765\u7684\u5947\u602a\u884c\u4e3a\uff0c\u6211\u4eec\u6709\u4e86 int 32_t \u548c int 64_t</li> <li>C \u8bed\u8a00\u5bf9\u58f0\u660e\u7684\u5173\u952e\u8bcd\u987a\u5e8f\u4e0d\u654f\u611f</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#213","title":"2.1.3 \u5bfb\u5740\u548c\u5b57\u8282\u987a\u5e8f","text":"<ul> <li>[[\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u786c\u4ef6\u8f6f\u4ef6\u63a5\u53e3#^da8be4|\u5c0f\u7aef\u7f16\u5740]]<ul> <li>\u5c31\u662f\u53f3\u8fb9\u653e\u5c0f\u7684\uff0c\u8981\u4ece\u53f3\u5f80\u5de6\u8bfb</li> </ul> </li> <li>\u5b57\u8282\u987a\u5e8f\u53d8\u5f97\u91cd\u8981\u7684\u4e09\u79cd\u60c5\u51b5<ul> <li>\u7f51\u7edc\u5e94\u7528\u7a0b\u5e8f\u7684\u4ee3\u7801\u7f16\u5199\u5fc5\u987b\u9075\u5b88\u5df2\u5efa\u7acb\u7684\u5173\u4e8e\u5b57\u8282\u987a\u5e8f\u7684\u89c4\u5219</li> <li>disassembler</li> <li>\u7f16\u5199\u89c4\u907f\u6b63\u5e38\u7684\u7c7b\u578b\u7cfb\u7edf\u7684\u7a0b\u5e8f<ul> <li>cast or union in C</li> <li>\u5bf9\u5e94\u7528\u7f16\u7a0b\u4e0d\u63a8\u8350\uff0c\u4f46\u662f\u5bf9\u7cfb\u7edf\u7ea7\u7f16\u7a0b\u662f\u5fc5\u9700\u7684</li> </ul> </li> </ul> </li> </ul> C<pre><code>#include &lt;stdio.h&gt;\n\n\n\ntypedef unsigned char *byte_pointer;\n\nvoid show_bytes(byte_pointer start, size_t len) {\n\u00a0 size_t i;\n\u00a0 for (i = 0; i &lt; len; i++)\n\u00a0 \u00a0 printf(\" %.2x\", start[i]);\n\u00a0 printf(\"\\n\");\n}\n\nvoid show_int(int x) { show_bytes((byte_pointer)&amp;x, sizeof(int)); }\n\nvoid show_float(float x) { show_bytes((byte_pointer)&amp;x, sizeof(float)); }\n\nvoid show_pointer(void *x) { show_bytes((byte_pointer)&amp;x, sizeof(void *)); }\n\nvoid test_show_bytes(int val) {\n\u00a0 int ival = val;\n\u00a0 float fval = (float)ival;\n\u00a0 int *pval = &amp;ival;\n\u00a0 show_int(ival);\n\u00a0 show_float(fval);\n\u00a0 show_pointer(pval);\n}\n\nint main() {\n\u00a0 int val = 12345;\n\u00a0 test_show_bytes(val);\n\u00a0 return 0;\n}\n</code></pre> Text Only<pre><code> 39 30 00 00 //\u5c0f\u7aef\u6cd5\n 00 e4 40 46\n 8c f6 bf ef b4 00 00 00\n</code></pre>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#214","title":"2.1.4 \u8868\u793a\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#215","title":"2.1.5 \u8868\u793a\u4ee3\u7801","text":"<ul> <li>\u4e8c\u8fdb\u5236\u4ee3\u7801\u5f88\u5c11\u80fd\u5728\u4e0d\u540c\u673a\u5668\u548c\u64cd\u4f5c\u7cfb\u7edf\u7ec4\u5408\u4e4b\u95f4\u79fb\u690d</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#216","title":"2.1.6 \u5e03\u5c14\u4ee3\u6570\u7b80\u4ecb","text":"<ul> <li>\u53ef\u4ee5\u6269\u5c55\u5230\u4f4d\u5411\u91cf\u7684\u8fd0\u7b97</li> <li>\u5e03\u5c14\u4ee3\u6570</li> <li>Boolean ring<ul> <li>additive inverse</li> </ul> </li> <li>\u548c\u96c6\u5408\u7684\u5bf9\u5e94</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#217-c","title":"2.1.7 C \u8bed\u8a00\u4e2d\u7684\u4f4d\u7ea7\u8fd0\u7b97","text":"<ul> <li>\u63a9\u7801\u8fd0\u7b97</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#218-c","title":"2.1.8 C \u8bed\u8a00\u4e2d\u7684\u903b\u8f91\u8fd0\u7b97","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#219-c","title":"2.1.9 C \u8bed\u8a00\u4e2d\u7684\u79fb\u4f4d\u8fd0\u7b97","text":"<ul> <li>\u903b\u8f91\u53f3\u79fb</li> <li>\u7b97\u6570\u53f3\u79fb</li> <li>\u5b9e\u9645\u4e0a\uff0c\u51e0\u4e4e\u6240\u6709\u7684\u7f16\u8bd1\u5668\u90fd\u5bf9\u6709\u7b26\u53f7\u6570\u4f7f\u7528\u7b97\u672f\u53f3\u79fb\uff0c\u800c\u5bf9\u4e8e\u65e0\u7b26\u53f7\u6570\uff0c\u53f3\u79fb\u5fc5\u987b\u662f\u903b\u8f91\u7684\uff08C \u8bed\u8a00\uff09</li> <li>\u800c\u5bf9\u4e8e Java <code>x&gt;&gt;k</code> \u662f\u7b97\u6570\u53f3\u79fb\uff0c <code>x&gt;&gt;&gt;k</code> \u662f\u903b\u8f91\u53f3\u79fb</li> <li>\u5bf9\u4e8e C \u8bed\u8a00\uff0c\u79fb\u52a8 \\(\\displaystyle k \\text{ mod } \\omega\\)</li> <li>\u52a0\u51cf\u7684\u4f18\u5148\u7ea7\u6bd4\u79fb\u4f4d\u7b97\u6cd5\u8981\u641e</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#22","title":"2.2 \u6574\u6570\u8868\u793a","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#221","title":"2.2.1 \u6574\u578b\u6570\u636e\u7c7b\u578b","text":"<ul> <li>64 \u4f4d\u548c 32 \u4f4d\u662f\u4e0d\u4e00\u6837\u7684 </li> <li>\u53d6\u503c\u8303\u56f4\u4e0d\u662f\u5bf9\u79f0\u7684 </li> <li>Java \u53ea\u652f\u6301\u6709\u7b26\u53f7\u6570</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#222","title":"2.2.2 \u65e0\u7b26\u53f7\u6570\u7684\u7f16\u7801","text":"<ul> <li>\u628a\u5411\u91cf\u5199\u6210\u4e8c\u8fdb\u5236\u8868\u793a\u7684\u6570\uff0c\u5c31\u5f97\u5230\u4e86\u65e0\u7b26\u53f7\u8868\u793a </li> </ul> \\[ B2U_w(\\vec{x})\\doteq\\sum_{i=0}^{u-1}x_i2^i \\] \\[ B2U_w:\\{0, 1\\}^w\\to\\{0, \\cdots,2^w-1\\} \\] <ul> <li>\u65e0\u7b26\u53f7\u6570\u7f16\u7801\u7684\u552f\u4e00\u6027</li> <li>\\(\\displaystyle \u51fd\u6570B2U_w\u662f\u4e00\u4e2a\u53cc\u5c04\u3002\\)</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#223","title":"2.2.3 \u8865\u7801\u7f16\u7801","text":"<ul> <li>two's-complement</li> <li>negative weight</li> </ul> \\[ B2T_w(\\vec{x})\\doteq- x_{w-1}2^{w-1}+\\sum_{i=0}^{w-2}x_i2^i \\] \\[ B2T_{w}\\colon \\{0, 1\\}^{w}\\to\\langle TMin_{w}, \\cdots, TMax_{w} \\rangle  \\] <ul> <li>\u8865\u7801\u7f16\u7801\u7684\u552f\u4e00\u6027</li> <li> <p>\\(\\displaystyle \u51fd\u6570B2T_w\u662f\u4e00\u4e2a\u53cc\u5c04\u3002\\) </p> </li> <li> <p>\u53cd\u7801</p> </li> </ul> \\[ B2O_w(\\vec{x})\\doteq-x_{w-1}(2^{w-1}-1)+\\sum_{i=0}^{w-2}x_i2^i \\] <ul> <li>\u539f\u7801</li> </ul> \\[ B2S_w(\\vec{x})\\doteq(-1)^{x_{w-1}}\\cdot\\bigl(\\sum_{i=0}^{w-2}x_i2^i\\bigr) \\] <ul> <li>\u5bf9\u4e8e\u6570\u5b57 0 \u6709\u4e24\u79cd\u4e0d\u540c\u7684\u7f16\u7801\u65b9\u5f0f</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#224","title":"2.2.4 \u6709\u7b26\u53f7\u6570\u548c\u65e0\u7b26\u53f7\u6570\u4e4b\u95f4\u7684\u8f6c\u6362","text":"<ul> <li>\u4fdd\u6301\u4f4d\u503c\u4e0d\u53d8\uff0c\u6539\u53d8\u89e3\u91ca\u65b9\u5f0f</li> </ul> \\[ T2U_{_w}(x)\\doteq B2U_{_w}( T2B_{_w}(x) ) \\] <ul> <li>\u8865\u7801\u8f6c\u6362\u4e3a\u65e0\u7b26\u53f7\u6570</li> </ul> \\[ T2U_w(x)=\\begin{cases}x+2^w,&amp;x&lt;0\\\\x,&amp;x\\geqslant0\\end{cases} \\] <ul> <li>\u65e0\u7b26\u53f7\u6570\u8f6c\u6362\u4e3a\u8865\u7801</li> </ul> \\[ U2T_w(u)=\\begin{cases}u ,&amp;u\\leqslant TMax_w\\\\u-2^w ,&amp;u&gt;TMax_w\\end{cases} \\]"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#225-c","title":"2.2.5 C \u8bed\u8a00\u4e2d\u7684\u6709\u7b26\u53f7\u6570\u4e0e\u65e0\u7b26\u53f7\u6570","text":"<ul> <li>\u4e00\u4e2a\u8fd0\u7b97\u7b26\u662f\u6709\u7b26\u53f7\u7684\u800c\u53e6\u4e00\u4e2a\u662f\u65e0\u7b26\u53f7\u7684\uff0c\u90a3 C \u7a0b\u5e8f\u4f1a\u628a\u6709\u7b26\u53f7\u7684\u8f6c\u6362\u4e3a\u65e0\u7b26\u53f7\u7684\u3002 </li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#226","title":"2.2.6 \u6269\u5c55\u4e00\u4e2a\u6570\u5b57\u7684\u4f4d\u8868\u793a","text":"<ul> <li>\u65e0\u7b26\u53f7\u6570\u7684 zero extension</li> <li>\u8865\u7801\u6570\u7684\u7b26\u53f7\u6269\u5c55</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#227","title":"2.2.7 \u622a\u65ad\u6570\u5b57","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#228","title":"2.2.8 \u5173\u4e8e\u6709\u7b26\u53f7\u6570\u4e0e\u65e0\u7b26\u53f7\u6570\u7684\u5efa\u8bae","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#23","title":"2.3 \u6574\u6570\u8fd0\u7b97","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#231","title":"2.3.1 \u65e0\u7b26\u53f7\u52a0\u6cd5","text":"<ul> <li>Lisp \u652f\u6301\u65e0\u9650\u7cbe\u5ea6\u7684\u8fd0\u7b97</li> </ul> \\[ x+_w^uy=\\begin{cases}x+y,&amp;x+y&lt;2^w&amp;\\text{\u6b63\u5e38}\\\\x+y-2^w,&amp;2^w\\leqslant x+y&lt;2^{w+1}&amp;\\text{\u6ea2\u51fa}\\end{cases} \\]"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#3","title":"3 \u7a0b\u5e8f\u7684\u673a\u5668\u7ea7\u8868\u793a","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#4","title":"4 \u5904\u7406\u5668\u4f53\u7cfb\u7ed3\u6784","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#5","title":"5 \u4f18\u5316\u7a0b\u5e8f\u6027\u80fd","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#6","title":"6 \u5b58\u50a8\u5668\u5c42\u6b21\u7ed3\u6784","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#7","title":"7 \u94fe\u63a5","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#8","title":"8 \u5f02\u5e38\u63a7\u5236\u6d41","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#9","title":"9 \u865a\u62df\u5185\u5b58","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#10-io","title":"10 \u7cfb\u7edf\u7ea7 I/O","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#11","title":"11 \u7f51\u7edc\u7f16\u7a0b","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#12","title":"12 \u5e76\u53d1\u7f16\u7a0b","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/","title":"\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u786c\u4ef6\u8f6f\u4ef6\u63a5\u53e3","text":"<p> \u7ea6 2978 \u4e2a\u5b57  13 \u884c\u4ee3\u7801  4 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 10 \u5206\u949f</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#1","title":"1 \u8ba1\u7b97\u673a\u62bd\u8c61\u53ca\u76f8\u5173\u6280\u672f","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2","title":"2 \u6307\u4ee4: \u8ba1\u7b97\u673a\u7684\u8bed\u8a00","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#21","title":"2.1 \u5f15\u8a00","text":"<p>\u8bbe\u8ba1\u539f\u5219:</p> <ul> <li>\u7b80\u5355\u6e90\u4e8e\u89c4\u6574</li> <li>\u66f4\u5c11\u5219\u66f4\u5feb</li> <li>\u4f18\u79c0\u7684\u8bbe\u8ba1\u9700\u8981\u9002\u5f53\u7684\u6298\u4e2d</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#22","title":"2.2 \u8ba1\u7b97\u673a\u786c\u4ef6\u7684\u64cd\u4f5c","text":"<p>Java \u7f16\u8bd1\u5668: Just In Time \u7f16\u8bd1\u5668</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#23","title":"2.3 \u8ba1\u7b97\u673a\u786c\u4ef6\u7684\u64cd\u4f5c\u6570","text":"<ul> <li>\u5bc4\u5b58\u5668<ul> <li>\u5927\u5c0f\u4e3a64 bits \u53cc\u5b57</li> <li>\u6570\u91cf\u6709\u9650\u901a\u5e38\u4e3a 32 \u4e2a</li> <li>x +\u5bc4\u5b58\u5668\u7f16\u53f7</li> </ul> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#231","title":"2.3.1 \u5b58\u50a8\u5668\u64cd\u4f5c\u6570","text":"<p>\u5728\u5185\u5b58\u548c\u5bc4\u5b58\u5668\u4e4b\u95f4\u4f20\u8f93\u6307\u4ee4:\u6570\u636e\u4f20\u8f93\u6307\u4ee4 \u6307\u4ee4\u63d0\u4f9b\u5185\u5b58\u5730\u5740 \u8f7d\u5165\u6307\u4ee4\uff08load\uff09:ld</p> Text Only<pre><code>Ld x9, 8(x22)\n</code></pre> <p>X 22 \u57fa\u5740\u5bc4\u5b58\u5668 8 \u504f\u79fb\u91cf \u5b57\u8282\u5730\u5740: 0 8 16 24 RICS- V \u662f\u5c0f\u7aef\u7f16\u5740: \u53ea\u5728\u4ee5\u53cc\u5b57\u5f62\u5f0f\u548c\u516b\u4e2a\u5355\u72ec\u5b57\u8282\u8bbf\u95ee\u76f8\u540c\u6570\u636e\u65f6\u4f1a\u6709\u5f71\u54cd ^da8be4</p> <p>\u5b58\u50a8\u6307\u4ee4\uff08store\uff09\u5b58\u50a8\u53cc\u5b57</p> Text Only<pre><code>sd x9, 96(x22)\n</code></pre> <ul> <li>\u5bf9\u9f50\u9650\u5236:<ul> <li>\u5b57\u7684\u8d77\u59cb\u5730\u5740\u662f 4 \u7684\u500d\u6570</li> <li>\u53cc\u5b57\u7684\u8d77\u59cb\u5730\u5740\u662f 8 \u7684\u500d\u6570</li> <li>\u4f46\u662f risc-v and Intel x 86 \u6ca1\u6709</li> <li>MIPS \u6709 Gibibyte (\\(\\displaystyle 2^{30}\\)) and tebibyte (\\(\\displaystyle 2^{40}\\)) \u5982\u679c\u53d8\u91cf\u6bd4\u5bc4\u5b58\u5668\u6570\u91cf\u66f4\u591a\uff0c\u90a3\u4e48\u4f1a\u628a\u4e00\u4e9b\u653e\u5230\u5185\u5b58\uff0c\u5373\u5bc4\u5b58\u5668\u6362\u51fa\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#232","title":"2.3.2 \u5e38\u6570\u6216\u7acb\u5373\u6570\u64cd\u4f5c\u6570","text":"Text Only<pre><code>ld x9, AddConstant4(x3)\nAdd x22, x22, x9\n\n# Equals to \n\naddi x22, x22, 4 # x22 = x22 + 4\n</code></pre> <p>\u5e38\u6570\u79f0\u4e3a\u7b97\u6570\u6307\u4ee4\u64cd\u4f5c\u6570 X0 \u53ef\u4ee5\u7528\u6765\u8868\u793a 0 \u5176\u5b9e\u8fd8\u6709 RV 32 \u57fa\u5740\u5bc4\u5b58\u5668\u4e5f\u88ab\u79f0\u4e3a\u4e0b\u6807\u5bc4\u5b58\u5668 \u6211\u4eec\u5047\u8bbe\u6307\u4ee4\u90fd\u662f 64 \u4f4d</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#24","title":"2.4 \u6709\u7b26\u53f7\u6570\u4e0e\u65e0\u7b26\u53f7\u6570","text":"<ul> <li>Binary digit Or bit</li> <li>Least significant bit </li> <li>Most significant bit</li> <li>sign and magnitude</li> <li>\u8865\u7801\u8f6c\u5316:<ol> <li>\u62d3\u5c55\u7b26\u53f7\u4f4d</li> <li>\u53d6\u53cd</li> <li>\u52a0\u4e00</li> </ol> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#25","title":"2.5 \u8ba1\u7b97\u673a\u4e2d\u7684\u6307\u4ee4\u8868\u793a","text":"<ul> <li>\u5b57\u6bb5</li> <li>\u6307\u4ee4 32 \u4f4d\u957f</li> <li>\u6307\u4ee4\u7684\u6570\u5b57\u8868\u793a:\u673a\u5668\u8bed\u8a00</li> <li>\u6307\u4ee4\u5e8f\u5217: \u673a\u5668\u7801</li> <li>C \u548c java \u7528 0 xnnnn \u6765\u8868\u793a\u5341\u516d\u8fdb\u5236\u6570</li> <li>RISC-V:\uff08R\uff09<ul> <li>funct7 + rs 2 + rs 1 + funct 3 + rd + opcode</li> <li>rd: \u76ee\u7684\u64cd\u4f5c\u6570\u5bc4\u5b58\u5668</li> <li>rs 1: \u7b2c\u4e00\u4e2a\u539f\u64cd\u4f5c\u6570\u5bc4\u5b58\u5668</li> <li>rs 2: \u7b2c\u4e8c\u4e2a\u539f\u64cd\u4f5c\u6570\u5bc4\u5b58\u5668</li> <li>funct 7 (3): \u64cd\u4f5c\u7801\u5b57\u6bb5</li> </ul> </li> <li>\u5bf9\u4e0d\u540c\u7684\u6307\u4ee4\u4f7f\u7528\u4e0d\u540c\u7684\u6307\u4ee4\u683c\u5f0f</li> <li>I<ul> <li>immediate + rs 1 + funct 3 + rd + opcode</li> <li>\u8d85\u8fc7 32 \u4e2a\u5bc4\u5b58\u5668\u7684\u8bdd\uff0crd and rs 1 \u90fd\u8981\u589e\u52a0\u989d\u5916\u7684\u4e00\u4f4d</li> <li>ld</li> </ul> </li> <li>S<ul> <li>immediate + rs 2 + rs 1 + funct 3 + immediate + opcode</li> </ul> </li> <li>Reg \u8868\u793a 0 \u5230 31 \u4e4b\u95f4\u7684\u5bc4\u5b58\u5668\u7f16\u53f7</li> <li>\u6ca1\u6709 subi \u56e0\u4e3a\u53ef\u4ee5\u901a\u8fc7\u52a0\u8d1f\u6570\u6765\u5b9e\u73b0</li> <li>\u8ba1\u7b97\u673a\u6784\u5efa\u57fa\u4e8e\u4e24\u4e2a\u5173\u952e\u539f\u5219:<ul> <li>\u6307\u4ee4\u7531\u6570\u5b57\u5f62\u5f0f\u8868\u793a</li> <li>\u7a0b\u5e8f\u548c\u6570\u636e\u4e00\u6837\u4fdd\u5b58\u5728\u5b58\u50a8\u5668\u4e2d\u8fdb\u884c\u8bfb\u5199</li> </ul> </li> <li>\u7a0b\u5e8f\u4f1a\u4ee5\u4e8c\u8fdb\u5236\u6570\u636e\u6587\u4ef6\u7684\u5f62\u5f0f\u6765\u53d1\u5e03<ul> <li>\u4e8c\u8fdb\u5236\u517c\u5bb9\u6027\u8ba9\u884c\u4e1a\u56f4\u7ed5\u5c11\u6570\u51e0\u4e2a\u6307\u4ee4\u7cfb\u7edf\u7ed3\u6784\u5f62\u6210\u8054\u76df</li> </ul> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#26","title":"2.6 \u903b\u8f91\u64cd\u4f5c","text":"<ul> <li>sll, slli</li> <li>srl, srli</li> <li>sra, srai</li> <li>and, andi </li> <li>or, ori </li> <li>xor, xori</li> <li>not</li> <li>\u4f4d\u79fb\u6307\u4ee4\u7528\u7684 I \u578b\u683c\u5f0f:<ul> <li>\u4f46\u5b83\u7684\u683c\u5f0f\u6709\u53d8\u5316:<ul> <li>funct 6 + immediate + rs 1 + funct 3 + rd + opcode</li> </ul> </li> </ul> </li> <li>\u7b97\u6570\u53f3\u79fb\u7528\u7684\u662f\u7b26\u53f7\u4f4d</li> <li>AND \u5b9e\u73b0\u4e86\u63a9\u7801</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#27","title":"2.7 \u7528\u4e8e\u51b3\u7b56\u7684\u6307\u4ee4","text":"<ul> <li>beq</li> <li>bne</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#271","title":"2.7.1 \u5faa\u73af","text":"C<pre><code>while (save[i] == k) \n    i += 1;\n</code></pre> <p>I -&gt; x 22 K -&gt; x 24 Save -&gt; x 25</p> Text Only<pre><code>loop: slli, x10, x22, 3\nAdd x10, x10, x25\nLd x9, 0(x10)\nBen x9, x24, Exit\nAddi x22, x22, l\nBeq x0, x0, loop\nExit:\n</code></pre> <p>\u57fa\u672c\u5757: </p> <ul> <li>\u9664\u4e86\u5728\u6307\u4ee4\u5e8f\u5217\u7684\u7ed3\u5c3e\uff0c\u5e8f\u5217\u4e2d\u6ca1\u6709\u5206\u652f\u3002</li> <li>\u9664\u4e86\u5728\u5e8f\u5217\u8d77\u59cb\u5904\uff0c\u5e8f\u5217\u4e2d\u6ca1\u6709\u5206\u652f\u76ee\u6807\u548c\u5206\u652f\u6807\u7b7e\u3002</li> <li>\u5bf9\u4e8e\u7b26\u53f7:<ul> <li>RISC-V \u7528\u4e0d\u540c\u7684\u6307\u4ee4</li> <li>MIPS \u8bbe\u7f6e\u4e34\u65f6\u5bc4\u5b58\u5668</li> <li>ARM \u6761\u4ef6\u4ee3\u7801\u6216\u6807\u5fd7\u4f4d</li> </ul> </li> <li>\u4e0d\u8fc7\u4e5f\u4f1a\u6709\u7f3a\u70b9: \u8fc7\u591a\u7684\u6307\u4ee4\u8bbe\u7f6e\u6761\u4ef6\u4ee3\u7801\uff0c\u4f1a\u8ba9\u6d41\u6c34\u7ebf\u6267\u884c\u56f0\u96be</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#272","title":"2.7.2 \u8fb9\u754c\u68c0\u67e5\u7684\u7b80\u4fbf\u65b9\u6cd5","text":"<p>\u5c06\u7b26\u53f7\u6570\u5f53\u4f5c\u65e0\u7b26\u53f7\u6570\u5904\u7406</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#273-caseswitch","title":"2.7.3 Case/switch \u8bed\u53e5","text":"<ul> <li>\u7f16\u7801\u5f62\u6210\u6307\u4ee4\u5e8f\u5217\u7684\u5730\u5740\u8868: \u5206\u652f\u5730\u5740\u8868/\u5206\u652f\u8868</li> <li>\u95f4\u63a5\u8df3\u8f6c\u6307\u4ee4 jalr</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#28","title":"2.8 \u8ba1\u7b97\u673a\u786c\u4ef6\u5bf9\u8fc7\u7a0b\u7684\u652f\u6301","text":"<ul> <li>Procedure</li> <li>\u6267\u884c\u8fc7\u7a0b\u7684\u516d\u4e2a\u6b65\u9aa4:<ul> <li>\u5c06\u53c2\u6570\u653e\u5728\u8fc7\u7a0b\u53ef\u4ee5\u8bbf\u95ee\u5230\u7684\u4f4d\u7f6e</li> <li>\u5c06\u63a7\u5236\u8f6c\u4ea4\u7ed9\u8fc7\u7a0b</li> <li>\u83b7\u53d6\u8fc7\u7a0b\u6240\u9700\u7684\u5b58\u50a8\u8d44\u6e90</li> <li>\u6267\u884c\u6240\u9700\u7684\u4efb\u52a1</li> <li>\u5c06\u7ed3\u679c\u503c\u653e\u5728\u8c03\u7528\u7a0b\u5e8f\u53ef\u4ee5\u8bbf\u95ee\u5230\u7684\u4f4d\u7f6e</li> <li>\u5c06\u63a7\u5236\u8fd4\u56de\u5230\u521d\u59cb\u70b9\uff0c\u56e0\u4e3a\u8fc7\u7a0b\u53ef\u4ee5\u4ece\u7a0b\u5e8f\u4e2d\u7684\u591a\u4e2a\u70b9\u8c03\u7528</li> </ul> </li> <li>x 10~x 17: \u53c2\u6570\u5bc4\u5b58\u5668\uff0c\u7528\u4e8e\u4f20\u9012\u53c2\u6570\u6216\u8fd4\u56de\u503c</li> <li>x 1: \u8fd4\u56de\u5730\u5740\u5bc4\u5b58\u5668\uff0c\u7528\u4e8e\u8fd4\u56de\u5230\u8d77\u59cb\u70b9</li> <li>jal \u8df3\u8f6c-\u94fe\u63a5\u6307\u4ee4 </li> </ul> Text Only<pre><code>Jal x1, ProcedureAddress\nJalr x0, 0(x1)\n</code></pre> <p>\u8c03\u7528\u8005\u5c06\u53c2\u6570\u503c\u653e\u5165 x 10~x 17 \u8fc7\u7a0b\u662f\u88ab\u8c03\u7528\u8005 Program counter:PC \u6307\u4ee4\u5730\u5740\u5bc4\u5b58\u5668</p> Text Only<pre><code>jal x0, Label // unconditionally branch to Label\n</code></pre>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#281","title":"2.8.1 \u4f7f\u7528\u66f4\u591a\u7684\u5bc4\u5b58\u5668","text":"<ul> <li>Stack</li> <li>Stack pointer x2:sp</li> <li>\u538b\u6808\u5f39\u6808</li> </ul> Text Only<pre><code>leaf_example:\nAddi sp, sp, -14\nSd x5, 16(sp)\nSd x6, 8(sp)\nSd x20, 0(sp)\nAdd x5, x10, x11\nAdd x6, x12, x13\nSub x20, x5, x6\nAddi x10, x20, 0\nLd x20, 0(sp)\nLd x6, 8(sp)\nLd x5, 16(sp)\nAddi sp, sp, 24\nJalr x0, 0(x1)\n</code></pre> <ul> <li>X 5~x 7, x 28~x 31: \u4e34\u65f6\u5bc4\u5b58\u5668</li> <li>x 8~x 9, x 18~x 27: \u4fdd\u5b58\u5bc4\u5b58\u5668</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#282","title":"2.8.2 \u5d4c\u5957\u8fc7\u7a0b","text":"<ul> <li>Leaf procedure </li> <li>\u5c06\u6240\u6709\u5fc5\u987b\u4fdd\u5b58\u7684\u5bc4\u5b58\u5668\u538b\u6808\uff0c\u9632\u6b62\u51b2\u7a81</li> </ul> C<pre><code>long long int fact (long long int n) {\n    if (n &lt; 1) return (1);\n        else return (n * fact(n - 1))\n}\n</code></pre> <p>n -&gt; x 10</p> Text Only<pre><code>fact:\n    addi sp, sp, -16\n    Sd x1, 8(sp)\n    Sd x10, 0(sp)\n\n    Addi x5, x10, -1\n    Bge x5, x0, L1\n\n    Addi x10, x0, 1\n    Addi sp, sp, 16\n    Jalr x0, 0(x1)\n\nL1: addi x10, x10, -1\n    Jal x1, fact\n\naddi x6, x10, 0\nLd x10, 0(sp)\nLd x1, 8(sp)\nAddi sp, sp, 16\nMul x10, x10, x6\nJalr x0, 0(x1)\n</code></pre> <ul> <li>\u4e00\u4e9b\u7f16\u8bd1\u5668\u4fdd\u7559\u4e00\u4e2a\u5bc4\u5b58\u5668 x 3 \u7528\u4f5c\u5168\u5c40\u6307\u9488 gp </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#283","title":"2.8.3 \u5728\u6808\u4e2d\u4f4d\u65b0\u6570\u636e\u5206\u914d\u7a7a\u95f4","text":"<p>\u6808\u4e5f\u7528\u4e8e\u5b58\u50a8\u8fc7\u7a0b\u7684\u5c40\u90e8\u53d8\u91cf \u8fc7\u7a0b\u5e27/\u6d3b\u52a8\u8bb0\u5f55</p> <p>\u6ca1\u770b\u61c2</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#284","title":"2.8.4 \u5728\u5806\u4e2d\u4e3a\u65b0\u6570\u636e\u5206\u914d\u7a7a\u95f4","text":"<p>Static data segment text segment \u50cf\u94fe\u8868\u7b49\u6570\u636e\u7ed3\u6784\u5f80\u5f80\u4f1a\u968f\u751f\u547d\u5468\u671f\u589e\u957f\u548c\u7f29\u77ed\uff0c\u6240\u4ee5\u4f1a\u628a\u4ed6\u4eec\u5b58\u5728\u5806\u91cc (heap)</p> <ul> <li>malloc ()</li> <li>free () \u8be6\u7ec6\u9610\u8ff0\u6ca1\u770b</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#29","title":"2.9 \u4eba\u673a\u4ea4\u4e92","text":"<p>ASCII: american standard code for information interchange </p> <p>\u52a0\u8f7d\u65e0\u7b26\u53f7\u5b57\u8282 (lbu) \u5b58\u50a8\u5b57\u8282 (sb)</p> Text Only<pre><code>lbu x12, 0(x10)\nsb x12, 0(x11)\n</code></pre> <p>\u5b57\u7b26\u4e32\u7684\u8868\u793a\u6709\u4e09\u79cd\u9009\u62e9:</p> <ol> <li>\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u4fdd\u7559\u6765\u7ed9\u51fa\u5b57\u7b26\u4e32\u7684\u957f\u5ea6</li> <li>\u7528\u989d\u5916\u7684\u53d8\u91cf\u6765\u5b58\u50a8\u957f\u5ea6\uff08\u5982\u7ed3\u6784\u4f53\uff09</li> <li>\u5b57\u7b26\u4e32\u7684\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e\u7528\u5b57\u7b26\u6807\u8bb0\u7ed3\u5c3e \u5176\u4e2d C \u8bed\u8a00\u7528\u7b2c\u4e09\u79cd\uff0c\u4f7f\u7528\u503c\u4e3a 0 \u7684\u5b57\u8282\u6765\u7ec8\u6b62\u5b57\u7b26\u4e32\uff08null in ASCII\uff09</li> </ol> C<pre><code>void strcpy (char x[], char y[])\n{\n    size_t i;\n    i = 0;\n    while ((x[i] = y[i]) != '\\0')\n        i += 1;\n}\n</code></pre> <p>x -&gt; x 10 y -&gt; x 11 i -&gt; x 19</p> Text Only<pre><code>strcpy:\n    addi sp, sp, -8\n    sd x19, 0(sp)\n    add x19, x0, x0\nL1: add x5, x19, x11\n    lbu x6, 0(x5)\n    add x7, x19, x10\n    sb x6, 0(x7)\n    beq x6, x0, L2\n    addi x19, x19, 1\n    jal x0, L1\nL2: ld x19, 0(sp)\n    addi sp, sp, 8\n    jalr x0, 0(x1)\n</code></pre> <p>load half unsigned \u52a0\u8f7d\u534a\u5b57: lh lhu sh </p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#210-risc-v","title":"2.10 \u5bf9\u5927\u7acb\u5373\u6570\u7684 RISC-V \u7684\u7f16\u5740\u548c\u5bfb\u5740","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2101","title":"2.10.1 \u5927\u7acb\u5373\u6570","text":"<p>load upper immediate \u53d6\u7acb\u5373\u6570\u9ad8\u4f4d lui  lui \u53ef\u4ee5\u52a0\u8f7d 12~31 \u4f4d addi \u53ef\u4ee5\u52a0\u8f7d 0~11 \u4f4d</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2102","title":"2.10.2 \u5206\u652f\u4e2d\u7684\u5bfb\u5740","text":"<p>\u5206\u652f\u6307\u4ee4\u4f7f\u7528 SB \u578b\u7684\u6307\u4ee4\u683c\u5f0f </p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#211","title":"2.11 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<li>\u8fd0\u7b97\u4f1a\u4ea7\u751f\u4e00\u4e2a\u7ed3\u679c\uff0c\u53ef\u80fd\u4f1a\u5177\u6709\u526f\u4f5c\u7528</li> </ul> </li> <li>\u6bcf\u4e2a\u64cd\u4f5c\u6570\u90fd\u5177\u6709\u4e00\u4e2a\u7c7b\u578b</li> <li>&lt;&lt;\u662f\u5de6\u7ed3\u5408\u7684\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e24\u4e2a&lt;&lt;\u8fd0\u7b97\u7b26\u548c\u4e09\u4e2a\u64cd\u4f5c\u6570</li> </ul> C++<pre><code>(std::cout &lt;&lt; \"Hello, World!\") &lt;&lt; std::endl\n</code></pre> <ul> <li>std:: cout \u7684\u7c7b\u578b\u662f std::ostream</li> <li>std:: endl \u662f\u4e00\u4e2a\u63a7\u5236\u5668\uff08manipulator\uff09</li> <li>\u7b2c\u4e00\u79cd\u4f5c\u7528\u57df: \u540d\u5b57\u7a7a\u95f4</li> <li>:: \u662f\u4f5c\u7528\u57df\u8fd0\u7b97\u7b26\uff0cstd:: cout \u662f\u4e00\u4e2a\u9650\u5b9a\u540d\u79f0</li> <li>\u82b1\u62ec\u53f7\u662f\u53e6\u4e00\u79cd\u4f5c\u7528\u57df</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#08","title":"0.8 \u5c0f\u7ed3","text":"<ul> <li>main \u53ef\u4ee5\u6ca1\u6709 return \u8bed\u53e5</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#1","title":"1 \u4f7f\u7528\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#11","title":"1.1 \u8f93\u5165","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;string&gt;\n\nint main() \n{\n    std::cout &lt;&lt; \"Please enter your first name:\";\n\n    std::string name;\n    std::cin &gt;&gt; name;\n\n    std::cout &lt;&lt; \"Hello\" &lt;&lt; name &lt;&lt; \"!\" &lt;&lt; std::endl;\n    return 0;\n}\n</code></pre> <ul> <li>\u53d8\u91cf\u662f\u4e00\u4e2a\u5bf9\u8c61\uff0c\u4f46\u6709\u4e9b\u5bf9\u8c61\u53ef\u80fd\u6ca1\u6709\u540d\u79f0</li> <li>\u5c40\u90e8\u53d8\u91cf\u6709\u9650\u7684\u751f\u5b58\u671f\u662f\u533a\u5206\u53d8\u91cf\u548c\u5bf9\u8c61\u7684\u4e00\u4e2a\u91cd\u8981\u4f9d\u636e</li> <li>\u9690\u85cf\u5728\u5bf9\u8c61\u7c7b\u578b\u4e2d\u7684\u8fd8\u6709\u5176\u63a5\u53e3<ul> <li>\u63a5\u53e3\u662f\u53ef\u5b9e\u73b0\u64cd\u4f5c\u7684\u96c6\u5408</li> </ul> </li> <li>\u7f13\u51b2\u533a\u6765\u4fdd\u5b58\u8f93\u51fa</li> <li>\u4f55\u65f6\u5237\u65b0\u7f13\u51b2\u533a:<ul> <li>\u7f13\u51b2\u533a\u6ee1\u4e86</li> <li>\u8f93\u5165\u6d41\u8bfb\u6570\u636e</li> <li>\u660e\u786e\u8981\u6c42\u5237\u65b0</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#12","title":"1.2 \u4e3a\u59d3\u540d\u88c5\u6846","text":"<ul> <li>\u8fd0\u7b97\u7b26\u88ab\u91cd\u8f7d\u4e86</li> <li>\u8fd0\u7b97\u7b26\u4e00\u4e2a\u6c38\u8fdc\u4e0d\u4f1a\u6539\u53d8\u7684\u6027\u8d28\u662f\u7ed3\u5408\u5f8b\uff0c+\u662f\u5de6\u7ed3\u5408\u7684</li> </ul> C++<pre><code>std::string stars(10, '*')\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#13","title":"1.3 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#2","title":"2 \u5faa\u73af\u548c\u8ba1\u6570","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#21","title":"2.1 \u95ee\u9898","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#22","title":"2.2 \u7a0b\u5e8f\u7684\u6574\u4f53\u7ed3\u6784","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#23","title":"2.3 \u8f93\u51fa\u6570\u76ee\u672a\u77e5\u7684\u884c","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#231-while","title":"2.3.1 while \u8bed\u53e5","text":"<ul> <li>++\u662f\u4e00\u4e2a\u589e\u91cf\u8fd0\u7b97\u7b26</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#232-while","title":"2.3.2 \u8bbe\u8ba1 while \u8bed\u53e5","text":"<ul> <li>\u5faa\u73af\u4e0d\u53d8\u5f0f\uff08Loop invariant\uff09<ul> <li>\u521d\u59cb\u5316\uff1a\u5728\u5faa\u73af\u5f00\u59cb\u4e4b\u524d\uff0c\u5faa\u73af\u4e0d\u53d8\u5f0f\u5e94\u8be5\u88ab\u786e\u7acb\u4e3a\u771f\u3002</li> <li>\u4fdd\u6301\uff1a\u5faa\u73af\u7684\u6bcf\u6b21\u8fed\u4ee3\u90fd\u5fc5\u987b\u4fdd\u6301\u5faa\u73af\u4e0d\u53d8\u5f0f\u4e3a\u771f\uff0c\u5373\u5982\u679c\u8fdb\u5165\u67d0\u6b21\u8fed\u4ee3\u65f6\u5faa\u73af\u4e0d\u53d8\u5f0f\u4e3a\u771f\uff0c\u90a3\u4e48\u5728\u8be5\u6b21\u8fed\u4ee3\u7ed3\u675f\u65f6\uff0c\u5faa\u73af\u4e0d\u53d8\u5f0f\u4ecd\u7136\u4e3a\u771f\u3002</li> <li>\u7ec8\u6b62\uff1a\u5f53\u5faa\u73af\u7ed3\u675f\u65f6\uff0c\u5faa\u73af\u4e0d\u53d8\u5f0f\u5e94\u8be5\u80fd\u591f\u7528\u6765\u8bc1\u660e\u5faa\u73af\u7684\u7ec8\u6b62\u6761\u4ef6\u6210\u7acb\uff0c\u6216\u8005\u7528\u6765\u8bc1\u660e\u5faa\u73af\u7684\u8f93\u51fa\u6216\u7ed3\u679c\u6ee1\u8db3\u7279\u5b9a\u7684\u5c5e\u6027\u3002</li> <li>\u5faa\u73af\u4e0d\u53d8\u5f0f\u7684\u4e00\u4e2a\u5178\u578b\u4f8b\u5b50\u662f\u5728\u6392\u5e8f\u7b97\u6cd5\u4e2d\uff0c\u4f8b\u5982\u5192\u6ce1\u6392\u5e8f\u3002\u5728\u5192\u6ce1\u6392\u5e8f\u4e2d\uff0c\u4e00\u4e2a\u53ef\u80fd\u7684\u5faa\u73af\u4e0d\u53d8\u5f0f\u662f\uff1a\u201c\u6bcf\u6b21\u5faa\u73af\u8fed\u4ee3\u540e\uff0c\u6570\u7ec4\u7684\u6700\u540en\u4e2a\u5143\u7d20\u662f\u6392\u5e8f\u597d\u7684\u201d\uff0c\u5176\u4e2dn\u662f\u5faa\u73af\u8fed\u4ee3\u7684\u6b21\u6570\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#24","title":"2.4 \u8f93\u51fa\u4e00\u884c","text":"C++<pre><code>const std::string::size_type cols = greeting.size() + pad * 2 + 2;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#241","title":"2.4.1 \u8f93\u51fa\u8fb9\u754c\u5b57\u7b26","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#2411-if","title":"2.4.1.1 if \u8bed\u53e5","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#2412","title":"2.4.1.2 \u903b\u8f91\u8fd0\u7b97\u7b26","text":"<ul> <li>||\u662f\u5de6\u7ed3\u5408\uff0c\u4f1a\u6709\u77ed\u8def\u6c42\u503c\uff08short-circuit evaluation\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#242","title":"2.4.2 \u8f93\u51fa\u975e\u8fb9\u754c\u5b57\u7b26","text":"<ul> <li>+=\u590d\u5408\u8d4b\u503c\u8fd0\u7b97\u7b26</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#25","title":"2.5 \u5b8c\u6574\u7684\u6846\u67b6\u7a0b\u5e8f","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#251-std","title":"2.5.1 \u7565\u53bb\u91cd\u590d\u4f7f\u7528\u7684 std::","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#252-for","title":"2.5.2 \u4f7f\u7528 for \u8bed\u53e5\u6765\u7f29\u77ed\u7a0b\u5e8f","text":"<ul> <li>\u533a\u95f4\u7684\u8d8a\u754c\u503c\uff08off-the-end value\uff09</li> </ul> C++<pre><code>for (int r = 0; r != rows; ++r) {\n\n}\n</code></pre> <ul> <li>\u8fd9\u662f\u534a\u5f00\u533a\u95f4</li> </ul> C++<pre><code>for (init-statement condition; expression)\n    statement\n\n#equals to\n\n{\n    inti-statement\n    while (condition) {\n        statement\n        expression;\n    }\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#253","title":"2.5.3 \u538b\u7f29\u68c0\u6d4b","text":"<ul> <li>\u5c31\u662f\u628a if \u8bed\u53e5\u5408\u5e76\u4e00\u4e0b</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#254","title":"2.5.4 \u5b8c\u6574\u7684\u6846\u67b6\u7a0b\u5e8f","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#26","title":"2.6 \u8ba1\u6570","text":"<ul> <li>\u4e0d\u5bf9\u6210\u533a\u95f4\u53ef\u4ee5\u76f4\u63a5\u770b\u51fa\u6709\u591a\u5c11\u4e2a\u5143\u7d20<ul> <li>\\(\\displaystyle [m, n]\\) \u6709 m - n \u4e2a\u5143\u7d20</li> </ul> </li> <li>\u800c\u4e14\u53ef\u4ee5\u8868\u793a\u7a7a\u533a\u95f4 \\(\\displaystyle [n, n]\\) </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#27","title":"2.7 \u5c0f\u7ed3","text":"<ul> <li>\u8868\u8fbe\u5f0f<ul> <li>\u64cd\u4f5c\u6570\u7684\u7ec4\u5408\u65b9\u5f0f</li> <li>\u64cd\u4f5c\u6570\u5982\u4f55\u88ab\u8f6c\u6362</li> <li>\u64cd\u4f5c\u6570\u7684\u8fd0\u7b97\u6b21\u5e8f</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#3","title":"3 \u4f7f\u7528\u6279\u91cf\u6570\u636e","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#31","title":"3.1 \u8ba1\u7b97\u5b66\u751f\u6210\u7ee9","text":"C++<pre><code>#include &lt;iomanip&gt;\n#include &lt;ios&gt;\n#include &lt;iostream&gt;\n#include &lt;string&gt;\n\nusing std::cin;\nusing std::cout;\nusing std::endl;\nusing std::precision;\n\nint main() {\n    cout &lt;&lt; \"Please enter your first name:\";\n    string name;\n    cin &gt;&gt; name;\n    cout &lt;&lt; \"Hello, \" &lt;&lt; name &lt;&lt; \"!\" &lt;&lt; endl;\n\n    cout &lt;&lt; \"Please enter your midterm and final exam grades:\";\n    double midterm, final;\n    cin &gt;&gt; midterm &gt;&gt; final;\n\n    cout &lt;&lt; \"Enter all your homework grades, \" \n            \"followed by end-of-file:\";\n\n    int count = 0;\n    double sum = 0;\n\n    double x;\n\n    while (cin &gt;&gt; x) {\n        ++ count;\n        sum += x;\n    }\n\n    streamsize prec = cout.precision();\n    cout &lt;&lt; \"Your final grade is \" &lt;&lt; setprecision(3)\n         &lt;&lt; 0.2 * midterm + 0.4 * final + 0.4 * sum / count\n         &lt;&lt; setprecision(prec) &lt;&lt; endl; //\u91cd\u7f6e\u6709\u6548\u4f4d\u6570 \u6216\u5199\u6210cout.precision(prec);\n    return 0;\n}\n</code></pre> <ul> <li>\u8f93\u5165\u8fd0\u7b97\u7b26\u8fd4\u56de\u5b83\u7684\u5de6\u64cd\u4f5c\u6570\u4f5c\u4e3a\u7ed3\u679c</li> <li>\u5374\u7701\u521d\u59cb\u5316</li> <li>setprecision \u4e5f\u662f\u4e00\u4e2a\u63a7\u5236\u5668: \u4e3a\u6d41\u7684\u540e\u7ee7\u8f93\u51fa\u8bbe\u7f6e\u4e86\u4e00\u4e2a\u7279\u5b9a\u7684\u6709\u6548\u4f4d\u6570</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#311","title":"3.1.1 \u68c0\u6d4b\u8f93\u51fa","text":"<ul> <li>istream \u53ef\u4ee5\u88ab\u8f6c\u6362\u6210 bool \u503c</li> <li>\u6709\u4e09\u79cd\u60c5\u51b5\u6761\u4ef6\u4f1a\u53d8\u5047:<ul> <li>\u8fbe\u5230\u8f93\u5165\u6587\u4ef6\u7684\u7ed3\u5c3e</li> <li>\u8f93\u5165\u548c\u6211\u4eec\u8bd5\u56fe\u8bfb\u53d6\u7684\u53d8\u91cf\u7c7b\u578b\u4e0d\u4e00\u81f4</li> <li>\u68c0\u6d4b\u5230\u4e00\u4e2a\u786c\u4ef6\u95ee\u9898</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#312","title":"3.1.2 \u5faa\u73af\u4e0d\u53d8\u5f0f","text":"<p>\u4e0d\u662f\u5f88\u61c2</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#32","title":"3.2 \u7528\u4e2d\u503c\u4ee3\u66ff\u5e73\u5747\u503c","text":"<p>\u90a3\u4e48\u5c31\u8981\u6392\u5e8f\u4e86</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#321","title":"3.2.1 \u628a\u6570\u636e\u96c6\u5408\u5b58\u50a8\u5728\u5411\u91cf\u4e2d","text":"C++<pre><code>double x;\nvector&lt;double&gt; homework;\n\nwhile(cin &gt;&gt; x)\n    homework.push_back(x);\n</code></pre> <ul> <li>\u6211\u4eec\u4f7f\u7528\u4e86\u4e00\u79cd\u540d\u4e3a\u6a21\u677f\u7c7b\u7684\u8bed\u8a00\u7279\u5f81</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#322","title":"3.2.2 \u4ea7\u751f\u8f93\u51fa","text":"C++<pre><code>typedef vector&lt;double&gt;::size_type vec_sz;\nvec_sz size = homework.size();\n</code></pre> <ul> <li>\u6211\u4eec\u5e0c\u671b\u4fdd\u6301\u7cfb\u7edf\u73af\u5883\u7684\u72ec\u7acb\u6027</li> </ul> C++<pre><code>if (size  == 0) {\n    cout &lt;&lt; endl &lt;&lt; \"You must enter your grades. \"\n                    \"Please try again.\" &lt;&lt; endl;\n    return 1;\n}\n\nsort (homework.begin(), homework.end());\n\nvec_sz mid = size / 2;\ndouble median;\nmedian = size % 2 == 0 ? (homework[mid] + homework[mid - 1]) / 2\n                       : homework[mid];\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#323","title":"3.2.3 \u4e00\u4e9b\u66f4\u4e3a\u6df1\u5165\u7684\u89c2\u5bdf","text":"<ul> <li>size_type \u662f\u65e0\u7b26\u53f7\u6574\u6570\u7c7b\u578b</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#33","title":"3.3 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#4","title":"4 \u7ec4\u7ec7\u7a0b\u5e8f\u548c\u6570\u636e","text":"<ul> <li>\u8fd9\u4e9b\u5e93\u5de5\u5177\u6709\u51e0\u4e2a\u540c\u6837\u7684\u7279\u6027:<ul> <li>\u80fd\u89e3\u51b3\u67d0\u4e9b\u7279\u5b9a\u7c7b\u578b\u7684\u95ee\u9898</li> <li>\u4e0e\u5176\u4ed6\u7684\u5927\u591a\u6570\u5de5\u5177\u90fd\u76f8\u4e92\u72ec\u7acb</li> <li>\u90fd\u5177\u6709\u4e00\u4e2a\u540d\u79f0</li> </ul> </li> <li>\u4e24\u79cd\u65b9\u6cd5\u6765\u7ec4\u7ec7\u5927\u578b\u7684\u7a0b\u5e8f<ul> <li>\u51fd\u6570</li> <li>\u6570\u636e\u7ed3\u6784</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#41","title":"4.1 \u7ec4\u7ec7\u8ba1\u7b97","text":"<ul> <li>\u53c2\u6570\u7684\u521d\u59cb\u503c\u662f\u76f8\u5e94\u53c2\u6570\u503c\u7684\u590d\u5236\uff0c\u5373\u6309\u503c\u8c03\u7528\uff08call by value\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#411","title":"4.1.1 \u67e5\u627e\u4e2d\u503c","text":"C++<pre><code>double median(vector&lt;double&gt; vec)\n{\n    typedef vector&lt;double&gt;::size_type vec_sz;\n    vec_sz size = vec.size();\n    if (size == 0)\n        throw domain_error(\"median of an empty vector\");\n    sort(vec.begin(), vec.end());\n    vec_sz mid = size / 2;\n    return size % 2 == 0 ? (vec[mid] + vec[mid - 1]) / 2 : vec[mid];\n}\n</code></pre> <ul> <li>\u629b\u51fa\u5f02\u5e38</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#412","title":"4.1.2 \u91cd\u65b0\u5236\u5b9a\u8ba1\u7b97\u6210\u7ee9\u7684\u7b56\u7565","text":"<ul> <li>\u53ea\u80fd\u628a\u4e0d\u662f\u5e38\u91cf\u7684\u5f15\u7528\u7ed9\u5e38\u91cf\u7684\uff0c\u5373\u6761\u4ef6\u53ea\u80fd\u52a0\u5f3a</li> <li>\u6709\u597d\u51e0\u4e2a\u540c\u6837\u51fd\u6570\u540d\u7684\u51fd\u6570\u65f6\uff0c\u4f1a\u53d1\u751f\u91cd\u8f7d</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#413","title":"4.1.3 \u8bfb\u5bb6\u5ead\u4f5c\u4e1a\u6210\u7ee9","text":"<ul> <li>\u5de6\u503c\u53c2\u6570: \u975e\u4e34\u65f6\u5bf9\u8c61</li> </ul> C++<pre><code>istream read_hw(istream&amp; in, vector&lt;double&gt;&amp; hw)\n{\n    if (in) {\n        hw.clear();\n        double x;\n        while (in &gt;&gt; x) \n            hw.push_back(x);\n        in.clear();\n    }\n    return in;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#414","title":"4.1.4 \u4e09\u79cd\u51fd\u6570\u53c2\u6570","text":"<ul> <li>\u4e00\u822c\u800c\u8a00\uff0c\u6211\u4eec\u6ca1\u6709\u5fc5\u8981\u4e3a\u4e86 int \u6216 double \u8fd9\u6837\u89c1\u5230\u4f60\u7684\u5185\u90e8\u7c7b\u578b\u7684\u53c2\u6570\u800c\u53bb\u4f7f\u7528 const \u5f15\u7528</li> <li>\u5982\u679c\u4f20\u5165 read_hw () \u7684\u4e0d\u662f\u4e00\u4e2a\u5de6\u503c\uff0c\u90a3\u4e48\u6211\u4eec\u4f1a\u628a\u8f93\u5165\u5b58\u5230\u4e00\u4e2a\u6211\u4eec\u65e0\u59a8\u8bbf\u95ee\u7684\u5bf9\u8c61\u4e2d\uff08\u6539\u5bf9\u8c61\u4f1a\u5728 read_hw() \u8fd4\u56de\u65f6\u7acb\u5373\u6d88\u5931\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#415","title":"4.1.5 \u4f7f\u7528\u51fd\u6570\u6765\u8ba1\u7b97\u5b66\u751f\u7684\u6210\u7ee9","text":"<ul> <li>\u4e0d\u8981\u8ba9\u4e00\u6761\u8bed\u53e5\u4e2d\u7684\u526f\u4f5c\u7528\u4e2a\u6570\u8d85\u8fc7\u4e00\u4e2a</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#42","title":"4.2 \u7ec4\u7ec7\u6570\u636e","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#421","title":"4.2.1 \u628a\u4e00\u4e2a\u5b66\u751f\u7684\u6240\u6709\u6570\u636e\u653e\u7f6e\u5728\u4e00\u8d77","text":"C++<pre><code>struct Student_info {\n    string name;\n    double midterm, final;\n    vector&lt;double&gt; homework;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#422","title":"4.2.2 \u5904\u7406\u5b66\u751f\u8bb0\u5f55","text":"C++<pre><code>istream&amp; read(istream&amp; is, Student_info&amp; s)\n{\n    is &gt;&gt; s.name &gt;&gt; s.midterm &gt;&gt; s.final;\n    read_hw(is, s.homework);\n    return is;\n}\n\ndouble grade(const Student_info&amp; s) \n{\n    return grade(s.midterm, s.final, s.homework);\n}\n\nbool compare(const Student_info&amp; x, const Studeng_info&amp; y)\n{\n    return x.name &lt; y.name;\n}\n\nsort(students.begin(), students.end(), compare;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#423","title":"4.2.3 \u751f\u6210\u62a5\u8868","text":"C++<pre><code>cout &lt;&lt; setw(maxlen + 1) &lt;&lt; student[i].name;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#43","title":"4.3 \u628a\u5404\u90e8\u5206\u4ee3\u7801\u8fde\u63a5\u5230\u4e00\u8d77","text":"Text Only<pre><code>#ifndef GUARD_median_h\n#define GUARD_median_h //\u9884\u5904\u7406\u7a0b\u5e8f\n\n#include &lt;vector&gt;\ndouble median(vector&lt;double&gt;);\n\n#endif\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#44","title":"4.4 \u628a\u8ba1\u7b97\u6210\u7ee9\u7684\u7a0b\u5e8f\u5206\u5757","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#45","title":"4.5 \u4fee\u6b63\u540e\u7684\u8ba1\u7b97\u6210\u7ee9\u7684\u7a0b\u5e8f","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#46","title":"4.6 \u5c0f\u7ed3","text":"<ul> <li>\u7528\u6237\u5b9a\u4e49\u7684\u5934\u6587\u4ef6\u4e00\u822c\u4ee5 .h \u7ed3\u5c3e</li> <li>\u4e0d\u5e94\u8be5\u5728\u5934\u6587\u4ef6\u4e2d\u4f7f\u7528 using \u58f0\u660e</li> <li>\u7528 \\(\\displaystyle \\#\\) ifndef \u6307\u4ee4\u6765\u9632\u6b62\u5bf9\u5934\u6587\u4ef6\u7684\u91cd\u590d\u5305\u542b</li> <li>\u5185\u8054\u5b50\u8fc7\u7a0b\u901a\u5e38\u65f6\u5728\u5934\u6587\u4ef6\u800c\u4e0d\u662f\u5728\u6e90\u6587\u4ef6\u4e2d\u5b9a\u4e49 inline<ul> <li>\u4e3a\u4e86\u6bd4\u5356\u4f60\u51fd\u6570\u8c03\u7528\u7684\u989d\u5916\u5f00\u9500\uff0c\u7f16\u8bd1\u5668\u4f1a\u7528\u51fd\u6570\u4f53\u7684\u4e00\u4e2a\u590d\u5236\u6765\u66ff\u6362\u5bf9\u51fd\u6570\u7684\u6bcf\u4e00\u4e2a\u8c03\u7528\u5e76\u6839\u636e\u9700\u8981\u8fdb\u884c\u4fee\u6b63</li> </ul> </li> <li>\u5f02\u5e38\u5904\u7406</li> </ul> C++<pre><code>try{\n} catch (t) { }\n</code></pre> <ul> <li>\u5f02\u5e38\u7c7b</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#5","title":"5 \u4f7f\u7528\u987a\u5e8f\u5bb9\u5668\u5e76\u5206\u6790\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#51","title":"5.1 \u6309\u7c7b\u522b\u6765\u533a\u5206\u5b66\u751f","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students)\n{\n    vector&lt;Student_info&gt; pass, fail;\n    for (vector&lt;Student_info&gt;::size_type i = 0; i != students.size(); ++i;)\n    if (fgrade(student[i]))\n        fail.push_back(student[i]);\n    else\n        pass.push_back(student[i]);\n    students = pass;\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#511","title":"5.1.1 \u5c31\u5730\u5220\u9664\u51fd\u6570","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students)\n{\n    vector&lt;Student_info&gt; fail;\n    vector&lt;Student_info&gt;::size_type i =  0;\n    while (i != students.size()) {\n        if (fgrade(studentp[i])) {\n            fail.push_back(students[i]);\n            students.erase(students.begin() + i);\n        } else\n            ++i;\n    }\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#512","title":"5.1.2 \u987a\u5e8f\u5b58\u53d6\u4e0e\u968f\u673a\u5b58\u53d6","text":"<ul> <li>\u8bbf\u95ee\u5bb9\u5668\u65f6\u6240\u91c7\u53d6\u7684\u6b21\u5e8f\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u6027\u80fd\u7279\u6027</li> <li>\u4e8e\u662f\u4fbf\u6709\u4e86 iterator</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#52","title":"5.2 \u8fed\u4ee3\u5668","text":"<ul> <li>iterator<ul> <li>\u8bc6\u522b\u4e00\u4e2a\u5bb9\u5668\u4ee5\u53ca\u5bb9\u5668\u4e2d\u7684\u4e00\u4e2a\u5143\u7d20</li> <li>\u8ba9\u6211\u4eec\u68c0\u67e5\u5b58\u50a8\u5728\u8fd9\u4e2a\u5143\u7d20\u4e2d\u7684\u503c</li> <li>\u63d0\u4f9b\u64cd\u4f5c\u6765\u79fb\u52a8\u5728\u5bb9\u6613\u4e2d\u7684\u5143\u7d20</li> <li>\u91c7\u7528\u5bf9\u5e94\u4e8e\u5bb9\u5668\u6240\u80fd\u591f\u6709\u6548\u5904\u7406\u7684\u65b9\u5f0f\u5bf9\u53ef\u7528\u7684\u64cd\u4f5c\u8fdb\u884c\u7ea6\u675f</li> </ul> </li> </ul> C++<pre><code>for (vector&lt;Student_info&gt;::size_type i = 0; i != students.end(); ++i)\n    cout &lt;&lt; students[i].name &lt;&lt; endl;\nfor (vector&lt;Student_info&gt;::const_iterator iter = students.begin();\n    iter != students.end(); ++iter) {\n    cout &lt;&lt; (*iter).name &lt;&lt; endl; }\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#521","title":"5.2.1 \u8fed\u4ee3\u5668\u7c7b\u578b","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#522","title":"5.2.2 \u8fed\u4ee3\u5668\u64cd\u4f5c","text":"<ul> <li>end \u7d27\u63a5\u5728\u5bb9\u5668\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u540e\u9762\u7684\u4f4d\u7f6e</li> <li>++iter \u7528\u4e86\u8fed\u4ee3\u5668\u7c7b\u578b\u91cd\u8f7d</li> <li>\u5f53\u6211\u4eec\u7528\u95f4\u63a5\u5f15\u7528\u8fd0\u7b97\u7b26 \\(\\displaystyle *\\) \u6765\u8bbf\u95ee\u8fd9\u4e2a\u5143\u7d20\uff0c\u90a3\u4e48\u4ed6\u4f1a\u8fd4\u56de\u4e00\u4e2a\u5de6\u503c\uff08\u8fed\u4ee3\u5668\u6240\u6307\u5411\u7684\u5143\u7d20\uff09</li> <li>\\(\\displaystyle .\\) \u7684\u4f18\u5148\u7ea7\u6bd4 \\(\\displaystyle *\\) \u9ad8</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#523","title":"5.2.3 \u4e00\u70b9\u8bed\u6cd5\u77e5\u8bc6","text":"C++<pre><code>(*iter).name\niter-&gt;name\n//both are ok\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#524-students-erase-students-begin-i","title":"5.2.4 students. erase (students. begin () + i) \u7684\u542b\u4e49","text":"<ul> <li>students \u4e0d\u652f\u6301\u968f\u673a\u8bbf\u95ee\u7d22\u5f15\u64cd\u4f5c\u7684\u5bb9\u5668\uff0c\u4f46\u662f\u4ecd\u4f1a\u5141\u8bb8\u8fed\u4ee3\u5668\u7684\u968f\u673a\u8bbf\u95ee</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#53","title":"5.3 \u7528\u8fed\u4ee3\u5668\u6765\u4ee3\u66ff\u7d22\u5f15","text":"C++<pre><code>vecotr&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students)\n{\n    vector&lt;Student_info&gt; fail;\n    vector&lt;Student_info&gt;::iterator iter = students.begin();\n    while (iter != students.end()) {\n        if (fgrade(*iter)) {\n            fail.push_back(*iter);\n            iter = students.erase(iter); //important\n        } else\n            ++iter;\n    }\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#54","title":"5.4 \u91cd\u65b0\u601d\u8003\u6570\u636e\u7ed3\u6784\u4ee5\u5b9e\u73b0\u66f4\u597d\u7684\u6027\u80fd","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#55-list","title":"5.5 list \u7c7b\u578b","text":"<ul> <li>\u76f4\u63a5\u628a\u6240\u6709\u7684 vector \u6362\u6210 list \u5c31\u53ef\u4ee5\u4e86</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#551","title":"5.5.1 \u4e00\u4e9b\u91cd\u8981\u7684\u5dee\u522b","text":"<ul> <li>list \u7c7b\u7684\u8fed\u4ee3\u5668\u5e76\u4e0d\u652f\u6301\u5b8c\u5168\u968f\u673a\u7684\u8bbf\u95ee<ul> <li>\u6240\u4ee5\u6211\u4eec\u4e0d\u80fd\u7528 sort \u51fd\u6570</li> <li>\u4f46\u662f list \u6709\u81ea\u5df1\u6210\u5458\u51fd\u6570</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#552","title":"5.5.2 \u4e00\u4e2a\u607c\u4eba\u7684\u8bdd\u9898","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#56","title":"5.6 \u5206\u5272\u5b57\u7b26\u4e32","text":"C++<pre><code>vector&lt;string&gt; split(const string&amp; s)\n{\n    vector&lt;string&gt; ret;\n    typedef string::size_def string_size;\n    string_size i = 0;\n    while (i != s.size()) {\n        while (i != s.size() &amp;&amp; isspace(s[i])) // is from &lt;cctype&gt;\n            ++i;\n        string_size j = i;\n        while (j != s.size() &amp;&amp; !isspace(s[i]))\n            ++j;\n        if (i != j) {\n            ret.push_back(s.substr(i, j - i));\n            i = j;\n        }\n    }\n    return ret;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#57-split","title":"5.7 \u6d4b\u8bd5 split \u51fd\u6570","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#58","title":"5.8 \u8fde\u63a5\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#581","title":"5.8.1 \u4e3a\u56fe\u6848\u88c5\u6846","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#582","title":"5.8.2 \u7eb5\u5411\u8fde\u63a5","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#583","title":"5.8.3 \u6a2a\u5411\u8fde\u63a5","text":"<p>TODO</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#59","title":"5.9 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#6","title":"6 \u4f7f\u7528\u5e93\u7b97\u6cd5","text":"<ul> <li>\u5229\u7528\u516c\u7528\u63a5\u53e3\u6765\u63d0\u4f9b\u4e00\u4e2a\u6807\u51c6\u7b97\u6cd5\u96c6\u5408</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#61","title":"6.1 \u5206\u6790\u5b57\u7b26\u4e32","text":"C++<pre><code>for (vector&lt;string&gt;::const_iterator it = bottom.begin(); it != bottom.end(); ++i)\n    ret.push_back(*it);\n\nret.insert(ret.end(), bottom.begin(), bottom.end());\n\ncopy(bottom.begin(), bottom.end(), back_inserter(ret));\n</code></pre> <ul> <li>copy \u662f\u4e00\u4e2a\u6cdb\u578b (generic) \u7b97\u6cd5\u7684\u4f8b\u5b50</li> <li>back_inserter \u662f\u4e00\u4e2a\u8fed\u4ee3\u5668\u9002\u914d\u5668\u7684\u4f8b\u5b50</li> </ul> C++<pre><code>copy(begin, end, out);\n//equals to\nwhile (begin != end)\n    *out++ = *begin++;\n    // equals to \n    // *out = *begin; ++out; ++begin;\n\nit = begin++;\n//equals to\nit = begin;\n++begin;\n</code></pre> <ul> <li>\u8fed\u4ee3\u5668\u9002\u914d\u5668\u662f\u4e00\u4e2a\u4ea7\u751f\u8fed\u4ee3\u5668\u7684\u4e1c\u897f</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#611-split","title":"6.1.1 \u53e6\u4e00\u4e2a\u5b9e\u73b0 split \u7684\u65b9\u6cd5","text":"C++<pre><code>bool space(char c) {\n    return isspace(c);\n}\nbool not_space(char c) {\n    return !isspace(c);\n}\nvector&lt;string&gt; split(const string&amp; str) {\n    typedef string::const_iterator iter;\n    vector&lt;string&gt; ret;\n    iter i = str.begin();\n    while(i != str.end()) {\n        i = find_if(i, str.end(), not_space);\n        iter j = find_if(i, str.end(), space);\n        if (i != str.end()) ret.push_back(string(i, j));\n        i = j;  \n    }\n    return ret;\n}\n</code></pre> <ul> <li>\u6211\u4eec\u9700\u8981\u7f16\u5199\u6211\u4eec space \u548c not_space \u662f\u7528\u6765\u89e3\u91ca\u6211\u4eec\u6240\u6307\u7684\u662f\u54ea\u4e2a\u7248\u672c\u7684 isspace</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#612","title":"6.1.2 \u56de\u6587","text":"C++<pre><code>bool is_palindrome(const string&amp; s) {\n    return equal(s.begin(), s.end(), s.rbegin());\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#613-url","title":"6.1.3 \u67e5\u627e URL","text":"<ul> <li>protocol://resource-name</li> </ul> C++<pre><code>vector&lt;string&gt; find_urls(const string&amp; s) {\n    vector&lt;string&gt; ret;\n    typedef string::const_iterator iter;\n    iter b = s.begin(), e = s.end();\n    while (b != e) {\n        b = url_beg(b, e);\n        if (b != e) {\n            iter after = url_end(b, e);\n            ret.push_back(string(b, after));\n            b = after;\n        }\n    }\n    return ret;\n}\n\nstring::const_iterator url_end(string::const_iterator b, string::const_iterator e) {\n    return find_if(b, e, not_url_char);\n}\n\nbool not_url_char(char c) {\n    static const string url_ch = \"~;/?@=&amp;$-_.+!*{},'\";\n    return !(isalnum(c)) || find(url_ch.begin(), url_ch.end(), c) != url_end());\n    //static\u58f0\u660e\u7684\u5c40\u90e8\u53d8\u91cf\u5177\u6709\u5168\u5c40\u5bff\u547d\uff0c\u751f\u5b58\u671f\u8d2f\u7a7f\u6574\u4e2a\u51fd\u6570\u8c03\u7528\u8fc7\u7a0b\n}\n\nstring::const_iterator url_beg(string::const_iterator b, string::const_iterator e) {\n    static const string sep = \"://\";\n    typedef string::const_iterator iter;\n    iter i = b;\n    while ((i = search(i, e, sep.begin(), sep.end())) != e) {\n        if (i != b &amp;&amp; i + sep.size() != e) {\n            iter beg = i;\n            while (beg != b &amp;&amp; isalpha(beg[-1]))\n                --beg;\n            if (beg != i &amp;&amp; i + sep.size() != e &amp;&amp; !not_url_char(i[sep.size()])) return beg;\n        }\n        if (i != e) i += sep.size();\n    }\n    return e;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#62","title":"6.2 \u5bf9\u8ba1\u7b97\u6210\u7ee9\u7684\u65b9\u6848\u8fdb\u884c\u6bd4\u8f83","text":"<ol> <li>\u8bfb\u6240\u6709\u7684\u5b66\u751f\u8bb0\u5f55\uff0c\u628a\u505a\u4e86\u5168\u90e8\u5bb6\u5ead\u4f5c\u4e1a\u7684\u5b66\u751f\u4e0e\u5176\u4ed6\u7684\u5b66\u751f\u5206\u9694\u5f00\u3002</li> <li>\u5bf9\u6bcf\u4e00\u7ec4\u4e2d\u7684\u6240\u6709\u5b66\u751f\u5206\u522b\u4f7f\u7528\u6bcf\u4e00\u4e2a\u7684\u8ba1\u7b97\u6210\u7ee9\u7684\u65b9\u6848\uff0c\u62a5\u544a\u6bcf\u4e00\u7ec4\u7684\u4e2d\u503c\u6210\u7ee9\u3002</li> </ol>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#621","title":"6.2.1 \u5904\u7406\u5b66\u751f\u8bb0\u5f55","text":"C++<pre><code>bool did_all_hw(const Student_info&amp; s) {\n    reutrn ((fint(s.homework.begin(), s.homework.end(), 0)) == s.homework.end());\n}\n\nvector&lt;Student_info&gt; did, didnt;\nStudent_info student;\n\nwhile (read(cin, student)) {\n    if (did_all_hw(student))\n        did.push_back(student);\n    else\n        didnt.push_back(student);\n}\nif (did.empty()) {\n    cout &lt;&lt; \"No student did all the homework!\" &lt;&lt; endl;\n    return 1;\n}\nif (didnt.empty()) {\n    cout &lt;&lt; \"Every student did all the homework!\" &lt;&lt; endl;\n    return 1;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#622","title":"6.2.2 \u5206\u6790\u6210\u7ee9","text":"C++<pre><code>write_analysis(cout, \"median\", median_analysis, did, didn't);\n\ndouble grade_aux(const Student_info&amp; s) {\n    tru {\n        return grade(s);\n    } catch (domain_error) {\n        return grade(s.midterm, s.final, 0);\n    }\n}\n\ndouble median_analysis(const vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;double&gt; grades;\n    transdorm(students.begin(), students.end(), back_inserter(grades), grade_aux);\n    return medina(grades);\n}\n\nvoid write_analysis(ostream&amp; out, const string&amp; name, double analysis(const vector&lt;Student_info&gt;&amp;), const vector&lt;Student_info&gt;&amp; did, const vector&lt;Student_info&gt;&amp; didnt) {\n    out &lt;&lt; name &lt;&lt; \": median(did) = \" &lt;&lt; analysis(did) &lt;&lt; \", median(didnt) = \" &lt;&lt; analysis(didnt) &lt;&lt; endl; \n}\n\nint main() {\n    vector&lt;Student_info&gt; did, didnt;\n    Student_info student;\n    while (read(cin, student)) {\n        if (did_all_hw(student))\n            did.push_back(student);\n        else \n            didnt.push_back(student);\n    }\n    if (did.empty()) {\n        cout &lt;&lt; \"No student did all the homework!\" &lt;&lt; endl;\n        return 1;\n    }\n    if (didnt.empty()) {\n        cout &lt;&lt; \"Every student did all the homework!\" &lt;&lt; endl;\n        return 1;\n    }\n    write_analysis(cout, \"median\", median_analysis, did, didnt);\n    write_analysis(cout, \"average\", average_analysis, did, didnt);\n    write_analysis(cout, \"medina of homework turned in\", optimistic_median_analysis, did, didnt);\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#623","title":"6.2.3 \u8ba1\u7b97\u57fa\u4e8e\u5bb6\u5ead\u4f5c\u4e1a\u5e73\u5747\u6210\u7ee9\u7684\u603b\u6210\u7ee9","text":"C++<pre><code>double average(const vector&lt;double&gt;&amp; v) {\n    return accumulate(v.begin(), v.end(), 0.0) / v.size();\n}\n\ndouble average_analysis(const Student_info&amp; s) {\n    return grade(s.midterm, s.final, average(s.homework));\n}\n\ndouble average_analysis(const vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;double&gt; grades;\n    transform(students.begin(), students.end(), back_inserter(grades), average_grade);\n    return median(grades);\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#624","title":"6.2.4 \u4e0a\u4ea4\u7684\u5bb6\u5ead\u4f5c\u4e1a\u7684\u4e2d\u503c","text":"C++<pre><code>double optimistic_median(const Student_info&amp; s) {\n    vector&lt;double&gt; nonzero;\n    remove_copy(s.homework.begin(), s.homework.end(), back_inserter(nonzero), 0);\n    if (nonzero.empty())\n        return grade(s.midterm, s.final, 0);\n    else \n        return grade(s.midterm, s.final, median(nonzero));\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#63","title":"6.3 \u5bf9\u5b66\u751f\u8fdb\u884c\u5206\u7c7b\u5e76\u56de\u987e\u4e00\u4e0b\u6211\u4eec\u7684\u95ee\u9898","text":"<ul> <li>\u4f7f\u7528\u4e00\u4e9b\u7b97\u6cd5\u5e93\u6765\u89e3\u51b3\u95ee\u9898</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#631","title":"6.3.1 \u4e00\u79cd\u4e24\u6b21\u4f20\u9012\u7684\u89e3\u51b3\u65b9\u6848","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;Student_info&gt; fail;\n    remove_copy_if(students.begin(), students.end(), back_inserter(fail), pgrade);\n    students.earse(remove_if(students.begin(), students.end(), fgrade), student.end());\n    return fail;\n}\n\nbool pgrade(const Student_info&amp; s) {\n    return !fgrade(s);\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#64","title":"6.4 \u4e00\u79cd\u4e00\u6b21\u4f20\u9012\u7684\u89e3\u51b3\u65b9\u6848","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;Student_info&gt;::iterator iter = stable_partition(students.begin(), students.end(), pgrade);\n    vector&lt;Student_info&gt; fail(iter, students.end());\n    students.erase(iter, students.end());\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#65","title":"6.5 \u7b97\u6cd5\u3001\u5bb9\u5668\u4ee5\u53ca\u8fed\u4ee3\u5668","text":"<ul> <li>\u7b97\u6cd5\u4f5c\u7528\u4e8e\u5bb9\u5668\u7684\u5143\u7d20\uff0c\u800c\u4e0d\u662f\u4f5c\u7528\u4e8e\u5bb9\u5668</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#7","title":"7 \u4f7f\u7528\u5173\u8054\u5bb9\u5668","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#71","title":"7.1 \u652f\u6301\u9ad8\u6548\u67e5\u627e\u7684\u5bb9\u5668","text":"<ul> <li>\u5173\u8054\u5bb9\u5668\u4f1a\u5bf9\u63d2\u5165\u7684\u5143\u7d20\u8fdb\u884c\u6392\u5e8f\u6765\u63d0\u9ad8\u67e5\u627e\u7684\u901f\u5ea6</li> <li>\u5173\u8054\u6570\u7ec4\u5c31\u662f\u6709 key-value \u7684\u6570\u7ec4<ul> <li>map: \u6620\u5c04\u8868\u7684\u7d22\u5f15\u4e0d\u4e00\u5b9a\u662f\u6574\u6570</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#72","title":"7.2 \u8ba1\u7b97\u5355\u8bcd\u6570","text":"C++<pre><code>int main() {\n    string s;\n    map&lt;string, int&gt; counters;\n    while (cin &gt;&gt; s) ++counters[s];\n    for (map&lt;string, int&gt;::const_iterator it = counters.begin(); it != couners.end(); ++it) {\n        cout &lt;&lt; it-&gt;first &lt;&lt; \"\\t\" &lt;&lt; it-&gt;second &lt;&lt; endl;\n    }\n    return 0;\n}\n</code></pre> <ul> <li>\u6570\u5bf9\uff08pair\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#73","title":"7.3 \u4ea7\u751f\u4e00\u4e2a\u4ea4\u53c9\u5f15\u7528\u8868","text":"C++<pre><code>map&lt;string, vector&lt;int&gt; &gt; xref(istream&amp; in, vector&lt;string&gt; find_words(const string&amp;) = split) {\n    string line;\n    int line_number = 0'\n    map&lt;string, vector&lt;int&gt;&gt; ret;\n    while (getline(in, line)) {\n        ++line_number;\n        vector&lt;string&gt; words = find_words(line);\n        for (vector&lt;string&gt;::const_iterator it = words.begin(); it != words.end(); ++it)\n            ret(*it).push_back(line_number);\n    }\n    return ret;\n}\n\n\nint main() {\n    map&lt;string, vector&lt;int&gt; &gt; ret = cref(cin);\n    for (map&lt;string, vector&lt;int&gt; &gt;::const_iterator it = ret.begin(); it != ret.end(); ++it) {\n        cout &lt;&lt; it-&gt;first &lt;&lt; \" occurs on line(s): \";\n        vector&lt;int&gt;::const_iterator line_it = it-&gt;second.begin();\n        cout &lt;&lt; *lint_it;\n        ++line_it;\n        while (line_it != it-&gt;second.end()) {\n            cout &lt;&lt; \", \" &lt;&lt; *line_it;\n            ++line_it;\n        }\n        cout &lt;&lt; endl;\n    }\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#74","title":"7.4 \u751f\u6210\u53e5\u5b50","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#741","title":"7.4.1 \u8868\u793a\u89c4\u5219","text":"C++<pre><code>typedef vector&lt;string&gt; Rule;\ntypedef vector&lt;Rule&gt; Rule_collection;\ntypedef map&lt;string, Rule_collection&gt; Grammer;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#742","title":"7.4.2 \u8bfb\u5165\u6587\u6cd5","text":"C++<pre><code>Grammer read_grammer(istream&amp; in) {\n    Grammer ret;\n    string line;\n    while (getline(in, line)) {\n        vector&lt;string&gt; entry = split(line);\n        if (!entry.empty())\n            ret[entry[0]].push_back(Rule(entry.begin() + 1, entry.end()));\n    }\n    return ret;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#743","title":"7.4.3 \u751f\u6210\u53e5\u5b50","text":"C++<pre><code>vector&lt;string&gt; gen_sentence(const Grammar&amp; g) {\n    vector&lt;string&gt; ret;\n    gen_aux(g, \"&lt;sentence&gt;\", ret);\n    return ret;\n}\n\nbool bracketed(const string&amp; s) {\n    return s.size() &gt; 1 &amp;&amp; s[0] == '&lt;' &amp;&amp; s[s.size() - 1] == '&gt;';\n}\n\nvoid gen_aux(const Grammar&amp; g, const string&amp; word, vector&lt;string&gt;&amp; ret) {\n    if (!bracketed(word)) {\n        ret.push_back(word);\n    } else {\n        Grammar::const_iterator it = g.find(word);\n        if (it == g.end())\n            throw logic_error(\"empty rule\");\n        const Rule_collection&amp; c = it-&gt;seond;\n        const Rule&amp; r = c[nrand(c.size())];\n        for (Rule::const_iterator i = r.begin(); i != r.end(); ++i)\n            gen_aux(g, *i, ret);\n    }\n}\n\nint main() {\n    vector&lt;string&gt; sentence = gen_sentence(read_grammar(cin));\n    vector&lt;string&gt;::const_iterator it = sentence.begin();\n    if (!sentence.empty()) {\n        cout &lt;&lt; *it;\n        ++it;   \n    }\n    while (it != sentence.end()) {\n        cout &lt;&lt; \" \" &lt;&lt; *it;\n        ++it;\n    }\n    cout &lt;&lt; endl;\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#744","title":"7.4.4 \u9009\u62e9\u4e00\u4e2a\u968f\u673a\u51fd\u6570","text":"C++<pre><code>int nrand(int n) {\n    if (n &lt;= 0 || n &gt; RAND_MAX)\n        throw domain_error(\"Argument to nrand is out of range\");\n    const int bucket_size = RAND_MAX / n;\n    int r;\n    do r = rand() / bucket_size;\n    while (r &gt;= n);\n    return r;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#75","title":"7.5 \u5173\u4e8e\u6027\u80fd\u7684\u4e00\u70b9\u8bf4\u660e","text":"<ul> <li>\u7528\u6563\u5217\u8868\u5b9e\u73b0\u5173\u8054\u6570\u7ec4\u5728 C++\u4e2d\u7684\u662f\u5f88\u56f0\u96be\u7684 \u6ca1\u641e\u61c2 </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#76","title":"7.6 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#8","title":"8 \u7f16\u5199\u6cdb\u578b\u51fd\u6570","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#81","title":"8.1 \u6cdb\u578b\u51fd\u6570\u662f\u4ec0\u4e48","text":"<ul> <li>\u5728\u4f7f\u7528\u51fd\u6570\u4e4b\u524d\u4e0d\u77e5\u9053\u53c2\u6570\u6216\u8005\u8fd4\u56de\u7c7b\u578b\u662f\u4ec0\u4e48</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#811","title":"8.1.1 \u672a\u77e5\u7c7b\u578b\u7684\u4e2d\u503c","text":"<ul> <li>\u5b9e\u73b0\u4e86\u6cdb\u578b\u51fd\u6570\u7684\u8bed\u8a00\u7279\u5f81\u88ab\u79f0\u4f5c\u6a21\u677f\u51fd\u6570</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#9","title":"9 \u5b9a\u4e49\u65b0\u7c7b\u578b","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#10","title":"10 \u7ba1\u7406\u5185\u5b58\u548c\u4f4e\u7ea7\u6570\u636e\u7ed3\u6784","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#11_1","title":"11 \u5b9a\u4e49\u62bd\u8c61\u6570\u636e\u7c7b\u578b","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#12_1","title":"12 \u4f7f\u7c7b\u5bf9\u8c61\u50cf\u4e00\u4e2a\u6570\u503c\u4e00\u6837\u5de5\u4f5c","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#13_1","title":"13 \u4f7f\u7528\u7ee7\u627f\u4e0e\u52a8\u6001\u7ed1\u5b9a","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#14","title":"14 \u8fd1\u4e4e\u81ea\u52a8\u5730\u7ba1\u7406\u5185\u5b58","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#15","title":"15 \u518d\u8c08\u5b57\u7b26\u56fe\u5f62","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#16-c","title":"16 \u4eca\u540e\u5982\u4f55\u5b66\u4e60 C++","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/","title":"C++","text":"<p> \u7ea6 3115 \u4e2a\u5b57  523 \u884c\u4ee3\u7801  9 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 17 \u5206\u949f</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#1","title":"1 \u6587\u4ef6\u64cd\u4f5c","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#11","title":"1.1 \u6587\u4ef6\u7684\u6982\u5ff5","text":"<ul> <li>C/C++\u628a\u6bcf\u4e00\u4e2a\u6587\u4ef6\u90fd\u770b\u6210\u662f\u4e00\u4e2a\u6709\u5e8f\u7684\u5b57\u8282\u6d41\uff0c\u4ee5\u6587\u4ef6\u7ed3\u675f\u6807\u5fd7\uff08EOF\uff09\u7ed3\u675f</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#12","title":"1.2 \u6587\u4ef6\u7684\u64cd\u4f5c\u6b65\u9aa4","text":"<ol> <li>\u6253\u5f00\u6587\u4ef6\uff0c\u8bb2\u6587\u4ef6\u6307\u9488\u6307\u5411\u6587\u4ef6\uff0c\u51b3\u5b9a\u6253\u5f00\u6587\u4ef6\u7684\u7c7b\u578b</li> <li>\u5bf9\u6587\u4ef6\u8fdb\u884c\u8bfb/\u5199\u64cd\u4f5c</li> <li>\u5728\u4f7f\u7528\u5b8c\u6587\u4ef6\u540e\uff0c\u5173\u95ed\u6587\u4ef6</li> </ol>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#13","title":"1.3 \u4e00\u4e9b\u51fd\u6570","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#131-freopen","title":"1.3.1 freopen \u51fd\u6570","text":"C++<pre><code>FILE* freopen(const char* filename, const char* mode, FILE* stream);\n</code></pre> <ul> <li>\u53c2\u6570\u8bf4\u660e<ul> <li><code>filename</code>: \u8981\u6253\u5f00\u7684\u6587\u4ef6\u540d</li> <li><code>mode</code>: \u6587\u4ef6\u6253\u5f00\u7684\u6a21\u5f0f\uff0c\u8868\u793a\u6587\u4ef6\u8bbf\u95ee\u7684\u6743\u9650</li> <li><code>stream</code>: \u6587\u4ef6\u6307\u9488\uff0c\u901a\u5e38\u4f7f\u7528\u6807\u51c6\u6587\u4ef6\u6d41 (<code>stdin/stdout</code>) \u6216\u6807\u51c6\u9519\u8bef\u8f93\u51fa\u6d41 (<code>stderr</code>)</li> <li>\u8fd4\u56de\u503c\uff1a\u6587\u4ef6\u6307\u9488\uff0c\u6307\u5411\u88ab\u6253\u5f00\u6587\u4ef6</li> </ul> </li> <li>\u6587\u4ef6\u6253\u5f00\u683c\u5f0f<ul> <li><code>r</code>\uff1a\u4ee5\u53ea\u8bfb\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u53ea\u5141\u8bb8\u8bfb\u5165\u6570\u636e\u00a0\uff08\u5e38\u7528\uff09</li> <li><code>r+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>rb</code>\uff1a\u4ee5\u53ea\u8bfb\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u53ea\u5141\u8bb8\u8bfb\u5165\u6570\u636e</li> <li><code>rb+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>rt+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u672c\u6587\u4ef6\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>w</code>\uff1a\u4ee5\u53ea\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u4f1a\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u53ea\u5141\u8bb8\u5199\u5165\u6570\u636e\u00a0\uff08\u5e38\u7528\uff09</li> <li><code>w+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>wb</code>\uff1a\u4ee5\u53ea\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u4f1a\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u53ea\u5141\u8bb8\u5199\u5165\u6570\u636e</li> <li><code>wb+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>a</code>\uff1a\u4ee5\u53ea\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e\uff08\u4fdd\u7559 EOF \u7b26\uff09</li> <li><code>a+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e\uff08\u4e0d\u4fdd\u7559 EOF \u7b26\uff09</li> <li><code>at+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u672c\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e</li> <li><code>ab+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e \u4f7f\u7528\u65b9\u5f0f</li> </ul> </li> </ul> C++<pre><code>#include &lt;cstdio&gt;\n#include &lt;iostream&gt;\nint mian(void) {\n    freopen(\"data.in\", \"r\", stdin); \n    // data.in \u5c31\u662f\u8bfb\u53d6\u7684\u6587\u4ef6\u540d\uff0c\u8981\u548c\u53ef\u6267\u884c\u6587\u4ef6\u653e\u5728\u540c\u4e00\u76ee\u5f55\u4e0b\n    freopen(\"data.out\", \"w\", stdout); \n    // data.out \u5c31\u662f\u8f93\u51fa\u6587\u4ef6\u7684\u6587\u4ef6\u540d\uff0c\u548c\u53ef\u6267\u884c\u6587\u4ef6\u5728\u540c\u4e00\u76ee\u5f55\u4e0b\n    fclose(stdin);\n    fclose(stdout);\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#132-fopen","title":"1.3.2 fopen \u51fd\u6570","text":"C++<pre><code>FILE* fopen(const char* path, const char* mode)\n</code></pre> <p>\u4f7f\u7528\u65b9\u5f0f</p> C++<pre><code>FILE *in, *out; // \u5b9a\u4e49\u6587\u4ef6\u6307\u9488 \nin = fopen(\"data.in\", \"r\"); \nout = fopen(\"data.out\", \"w\"); \n/* do what you want to do */ \nfclose(in); \nfclose(out);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#14-c-ifstreamofstream","title":"1.4 C++ \u7684\u00a0<code>ifstream/ofstream</code>\u00a0\u6587\u4ef6\u8f93\u5165\u8f93\u51fa\u6d41","text":"C++<pre><code>#include &lt;fstream&gt; \nusing namespace std; \n// \u4e24\u4e2a\u7c7b\u578b\u90fd\u5728 std \u547d\u540d\u7a7a\u95f4\u91cc \nifstream fin(\"data.in\"); \nofstream fout(\"data.out\"); \nint main(void) { \n    /* \u4e2d\u95f4\u7684\u4ee3\u7801\u6539\u53d8 cin \u4e3a fin \uff0ccout \u4e3a fout \u5373\u53ef */ \n    fin.close(); \n    fout.close(); \n    return 0; \n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2","title":"2 \u6807\u51c6\u5e93","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#21-stl","title":"2.1 STL \u5bb9\u5668","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#211","title":"2.1.1 \u5e8f\u5217\u5f0f\u5bb9\u5668","text":"<ul> <li>\u5411\u91cf(<code>vector</code>) \u540e\u7aef\u53ef\u9ad8\u6548\u589e\u52a0\u5143\u7d20\u7684\u987a\u5e8f\u8868\u3002<ul> <li>\u53ef\u4ee5\u52a8\u6001\u5206\u914d\u5185\u5b58</li> <li>\u91cd\u5199\u4e86\u6bd4\u8f83\u8fd0\u7b97\u7b26\u53ca\u8d4b\u503c\u8fd0\u7b97\u7b26</li> <li>\u4fbf\u5229\u7684\u521d\u59cb\u5316</li> <li>std::vector - cppreference.com</li> </ul> </li> <li>\u6570\u7ec4(<code>array</code>)C++11\uff0c\u5b9a\u957f\u7684\u987a\u5e8f\u8868\uff0cC \u98ce\u683c\u6570\u7ec4\u7684\u7b80\u5355\u5305\u88c5\u3002</li> <li>\u53cc\u7aef\u961f\u5217(<code>deque</code>) \u53cc\u7aef\u90fd\u53ef\u9ad8\u6548\u589e\u52a0\u5143\u7d20\u7684\u987a\u5e8f\u8868\u3002</li> <li>\u5217\u8868(<code>list</code>) \u53ef\u4ee5\u6cbf\u53cc\u5411\u904d\u5386\u7684\u94fe\u8868\u3002</li> <li>\u5355\u5411\u5217\u8868(<code>forward_list</code>) \u53ea\u80fd\u6cbf\u4e00\u4e2a\u65b9\u5411\u904d\u5386\u7684\u94fe\u8868\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#212","title":"2.1.2 \u5173\u8054\u5f0f\u5bb9\u5668","text":"<ul> <li>\u96c6\u5408(<code>set</code>) \u7528\u4ee5\u6709\u5e8f\u5730\u5b58\u50a8\u00a0\u4e92\u5f02\u00a0\u5143\u7d20\u7684\u5bb9\u5668\u3002\u5176\u5b9e\u73b0\u662f\u7531\u8282\u70b9\u7ec4\u6210\u7684\u7ea2\u9ed1\u6811\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u5305\u542b\u7740\u4e00\u4e2a\u5143\u7d20\uff0c\u8282\u70b9\u4e4b\u95f4\u4ee5\u67d0\u79cd\u6bd4\u8f83\u5143\u7d20\u5927\u5c0f\u7684\u8c13\u8bcd\u8fdb\u884c\u6392\u5217\u3002</li> <li>\u591a\u91cd\u96c6\u5408(<code>multiset</code>) \u7528\u4ee5\u6709\u5e8f\u5730\u5b58\u50a8\u5143\u7d20\u7684\u5bb9\u5668\u3002\u5141\u8bb8\u5b58\u5728\u76f8\u7b49\u7684\u5143\u7d20\u3002</li> <li>\u6620\u5c04(<code>map</code>) \u7531 {\u952e\uff0c\u503c} \u5bf9\u7ec4\u6210\u7684\u96c6\u5408\uff0c\u4ee5\u67d0\u79cd\u6bd4\u8f83\u952e\u5927\u5c0f\u5173\u7cfb\u7684\u8c13\u8bcd\u8fdb\u884c\u6392\u5217\u3002</li> <li>\u591a\u91cd\u6620\u5c04(<code>multimap</code>) \u7531 {\u952e\uff0c\u503c} \u5bf9\u7ec4\u6210\u7684\u591a\u91cd\u96c6\u5408\uff0c\u4ea6\u5373\u5141\u8bb8\u952e\u6709\u76f8\u7b49\u60c5\u51b5\u7684\u6620\u5c04\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#213","title":"2.1.3 \u65e0\u5e8f\uff08\u5173\u8054\u5f0f\uff09\u5bb9\u5668","text":"<ul> <li>\u65e0\u5e8f\uff08\u591a\u91cd\uff09\u96c6\u5408(<code>unordered_set</code>/<code>unordered_multiset</code>)C++11\uff0c\u4e0e\u00a0<code>set</code>/<code>multiset</code>\u00a0\u7684\u533a\u522b\u5728\u4e8e\u5143\u7d20\u65e0\u5e8f\uff0c\u53ea\u5173\u5fc3\u300c\u5143\u7d20\u662f\u5426\u5b58\u5728\u300d\uff0c\u4f7f\u7528\u54c8\u5e0c\u5b9e\u73b0\u3002</li> <li>\u65e0\u5e8f\uff08\u591a\u91cd\uff09\u6620\u5c04(<code>unordered_map</code>/<code>unordered_multimap</code>)C++11\uff0c\u4e0e\u00a0<code>map</code>/<code>multimap</code>\u00a0\u7684\u533a\u522b\u5728\u4e8e\u952e (key) \u65e0\u5e8f\uff0c\u53ea\u5173\u5fc3 \"\u952e\u4e0e\u503c\u7684\u5bf9\u5e94\u5173\u7cfb\"\uff0c\u4f7f\u7528\u54c8\u5e0c\u5b9e\u73b0\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#214","title":"2.1.4 \u5bb9\u5668\u9002\u914d\u5668","text":"<p>\u5bb9\u5668\u9002\u914d\u5668\u5176\u5b9e\u5e76\u4e0d\u662f\u5bb9\u5668\u3002\u5b83\u4eec\u4e0d\u5177\u6709\u5bb9\u5668\u7684\u67d0\u4e9b\u7279\u70b9\uff08\u5982\uff1a\u6709\u8fed\u4ee3\u5668\u3001\u6709\u00a0<code>clear()</code>\u00a0\u51fd\u6570\u2026\u2026\uff09\u3002</p> <p>\u300c\u9002\u914d\u5668\u662f\u4f7f\u4e00\u79cd\u4e8b\u7269\u7684\u884c\u4e3a\u7c7b\u4f3c\u4e8e\u53e6\u5916\u4e00\u79cd\u4e8b\u7269\u884c\u4e3a\u7684\u4e00\u79cd\u673a\u5236\u300d\uff0c\u9002\u914d\u5668\u5bf9\u5bb9\u5668\u8fdb\u884c\u5305\u88c5\uff0c\u4f7f\u5176\u8868\u73b0\u51fa\u53e6\u5916\u4e00\u79cd\u884c\u4e3a\u3002</p> <ul> <li>\u6808(<code>stack</code>) \u540e\u8fdb\u5148\u51fa (LIFO) \u7684\u5bb9\u5668\uff0c\u9ed8\u8ba4\u662f\u5bf9\u53cc\u7aef\u961f\u5217\uff08<code>deque</code>\uff09\u7684\u5305\u88c5\u3002</li> <li>\u961f\u5217(<code>queue</code>) \u5148\u8fdb\u5148\u51fa (FIFO) \u7684\u5bb9\u5668\uff0c\u9ed8\u8ba4\u662f\u5bf9\u53cc\u7aef\u961f\u5217\uff08<code>deque</code>\uff09\u7684\u5305\u88c5\u3002</li> <li>\u4f18\u5148\u961f\u5217(<code>priority_queue</code>) \u5143\u7d20\u7684\u6b21\u5e8f\u662f\u7531\u4f5c\u7528\u4e8e\u6240\u5b58\u50a8\u7684\u503c\u5bf9\u4e0a\u7684\u67d0\u79cd\u8c13\u8bcd\u51b3\u5b9a\u7684\u7684\u4e00\u79cd\u961f\u5217\uff0c\u9ed8\u8ba4\u662f\u5bf9\u5411\u91cf\uff08<code>vector</code>\uff09\u7684\u5305\u88c5\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#215","title":"2.1.5 \u5171\u540c\u70b9","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2151","title":"2.1.5.1 \u5bb9\u5668\u58f0\u660e","text":"<ul> <li>\u90fd\u662f\u00a0<code>containerName&lt;typeName,...&gt; name</code>\u00a0\u7684\u5f62\u5f0f\uff0c\u4f46\u6a21\u677f\u53c2\u6570\uff08<code>&lt;&gt;</code>\u00a0\u5185\u7684\u53c2\u6570\uff09\u7684\u4e2a\u6570\u3001\u5f62\u5f0f\u4f1a\u6839\u636e\u5177\u4f53\u5bb9\u5668\u800c\u53d8\u3002</li> <li>\u672c\u8d28\u539f\u56e0\uff1aSTL \u5c31\u662f\u300c\u6807\u51c6\u6a21\u677f\u5e93\u300d\uff0c\u6240\u4ee5\u5bb9\u5668\u90fd\u662f\u6a21\u677f\u7c7b\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2152","title":"2.1.5.2 \u8fed\u4ee3\u5668","text":"C++<pre><code>vector&lt;int&gt; data(10);\n\nfor (int i = 0; i &lt; data.size(); i++)\n    cout &lt;&lt; data[i] &lt;&lt; endl;\n\nfor (vector&lt;int&gt;::iterator iter = data.begin(); iter != data.end(); iter++)\n    cout &lt;&lt; *iter &lt;&lt; endl;\n//C++11 \u4ee5\u540e\u53ef\u4ee5\u7528 auto iter = data.begin() \u6765\u7b80\u5316\n</code></pre> <ul> <li>\u5206\u7c7b<ul> <li>InputIterator\uff08\u8f93\u5165\u8fed\u4ee3\u5668\uff09\uff1a\u53ea\u8981\u6c42\u652f\u6301\u62f7\u8d1d\u3001\u81ea\u589e\u548c\u89e3\u5f15\u8bbf\u95ee\u3002</li> <li>OutputIterator\uff08\u8f93\u51fa\u8fed\u4ee3\u5668\uff09\uff1a\u53ea\u8981\u6c42\u652f\u6301\u62f7\u8d1d\u3001\u81ea\u589e\u548c\u89e3\u5f15\u8d4b\u503c\u3002</li> <li>ForwardIterator\uff08\u5411\u524d\u8fed\u4ee3\u5668\uff09\uff1a\u540c\u65f6\u6ee1\u8db3 InputIterator \u548c OutputIterator \u7684\u8981\u6c42\u3002</li> <li>BidirectionalIterator\uff08\u53cc\u5411\u8fed\u4ee3\u5668\uff09\uff1a\u5728 ForwardIterator \u7684\u57fa\u7840\u4e0a\u652f\u6301\u81ea\u51cf\uff08\u5373\u53cd\u5411\u8bbf\u95ee\uff09\u3002</li> <li>RandomAccessIterator\uff08\u968f\u673a\u8bbf\u95ee\u8fed\u4ee3\u5668\uff09\uff1a\u5728 BidirectionalIterator \u7684\u57fa\u7840\u4e0a\u652f\u6301\u52a0\u51cf\u8fd0\u7b97\u548c\u6bd4\u8f83\u8fd0\u7b97\uff08\u5373\u968f\u673a\u8bbf\u95ee\uff09\u3002</li> <li>ContiguousIterator\uff08\u8fde\u7eed\u8fed\u4ee3\u5668\uff09\uff1a\u5728 RandomAccessIterator \u7684\u57fa\u7840\u4e0a\u8981\u6c42\u5bf9\u53ef\u89e3\u5f15\u7528\u7684\u8fed\u4ee3\u5668\u00a0<code>a + n</code>\u00a0\u6ee1\u8db3\u00a0<code>*(a + n)</code>\u00a0\u4e0e\u00a0<code>*(std::address_of(*a) + n)</code>\u00a0\u7b49\u4ef7\uff08\u5373\u8fde\u7eed\u5b58\u50a8\uff0c\u5176\u4e2d\u00a0<code>a</code>\u00a0\u4e3a\u8fde\u7eed\u8fed\u4ee3\u5668\u3001<code>n</code>\u00a0\u4e3a\u6574\u578b\u503c\uff09\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2153","title":"2.1.5.3 \u5171\u6709\u51fd\u6570","text":"<ul> <li><code>=</code>\uff1a\u6709\u8d4b\u503c\u8fd0\u7b97\u7b26\u4ee5\u53ca\u590d\u5236\u6784\u9020\u51fd\u6570\u3002</li> <li><code>begin()</code>\uff1a\u8fd4\u56de\u6307\u5411\u5f00\u5934\u5143\u7d20\u7684\u8fed\u4ee3\u5668\u3002</li> <li><code>end()</code>\uff1a\u8fd4\u56de\u6307\u5411\u672b\u5c3e\u7684\u4e0b\u4e00\u4e2a\u5143\u7d20\u7684\u8fed\u4ee3\u5668\u3002<code>end()</code>\u00a0\u4e0d\u6307\u5411\u67d0\u4e2a\u5143\u7d20\uff0c\u4f46\u5b83\u662f\u672b\u5c3e\u5143\u7d20\u7684\u540e\u7ee7\u3002</li> <li><code>size()</code>\uff1a\u8fd4\u56de\u5bb9\u5668\u5185\u7684\u5143\u7d20\u4e2a\u6570\u3002</li> <li><code>max_size()</code>\uff1a\u8fd4\u56de\u5bb9\u5668\u00a0\u7406\u8bba\u4e0a\u00a0\u80fd\u5b58\u50a8\u7684\u6700\u5927\u5143\u7d20\u4e2a\u6570\u3002\u4f9d\u5bb9\u5668\u7c7b\u578b\u548c\u6240\u5b58\u50a8\u53d8\u91cf\u7684\u7c7b\u578b\u800c\u53d8\u3002</li> <li><code>empty()</code>\uff1a\u8fd4\u56de\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a\u3002</li> <li><code>swap()</code>\uff1a\u4ea4\u6362\u4e24\u4e2a\u5bb9\u5668\u3002</li> <li><code>clear()</code>\uff1a\u6e05\u7a7a\u5bb9\u5668\u3002</li> <li><code>==</code>/<code>!=</code>/<code>&lt;</code>/<code>&gt;</code>/<code>&lt;=</code>/<code>&gt;=</code>\uff1a\u6309\u00a0\u5b57\u5178\u5e8f\u00a0\u6bd4\u8f83\u4e24\u4e2a\u5bb9\u5668\u7684\u5927\u5c0f\u3002\uff08\u6bd4\u8f83\u5143\u7d20\u5927\u5c0f\u65f6\u00a0<code>map</code>\u00a0\u7684\u6bcf\u4e2a\u5143\u7d20\u76f8\u5f53\u4e8e\u00a0<code>set&lt;pair&lt;key, value&gt; &gt;</code>\uff0c\u65e0\u5e8f\u5bb9\u5668\u4e0d\u652f\u6301\u00a0<code>&lt;</code>/<code>&gt;</code>/<code>&lt;=</code>/<code>&gt;=</code>\u3002\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#216-stl","title":"2.1.6 STL \u7b97\u6cd5","text":"<ul> <li><code>find</code>\uff1a\u987a\u5e8f\u67e5\u627e\u3002<code>find(v.begin(), v.end(), value)</code>\uff0c\u5176\u4e2d\u00a0<code>value</code>\u00a0\u4e3a\u9700\u8981\u67e5\u627e\u7684\u503c\u3002</li> <li><code>reverse</code>\uff1a\u7ffb\u8f6c\u6570\u7ec4\u3001\u5b57\u7b26\u4e32\u3002<code>reverse(v.begin(), v.end())</code>\u00a0\u6216\u00a0<code>reverse(a + begin, a + end)</code>\u3002</li> <li><code>unique</code>\uff1a\u53bb\u9664\u5bb9\u5668\u4e2d\u76f8\u90bb\u7684\u91cd\u590d\u5143\u7d20\u3002<code>unique(ForwardIterator first, ForwardIterator last)</code>\uff0c\u8fd4\u56de\u503c\u4e3a\u6307\u5411\u00a0\u53bb\u91cd\u540e\u00a0\u5bb9\u5668\u7ed3\u5c3e\u7684\u8fed\u4ee3\u5668\uff0c\u539f\u5bb9\u5668\u5927\u5c0f\u4e0d\u53d8\u3002\u4e0e\u00a0<code>sort</code>\u00a0\u7ed3\u5408\u4f7f\u7528\u53ef\u4ee5\u5b9e\u73b0\u5b8c\u6574\u5bb9\u5668\u53bb\u91cd\u3002</li> <li><code>sort</code>\uff1a\u6392\u5e8f\u3002<code>sort(v.begin(), v.end(), cmp)</code>\u00a0\u6216\u00a0<code>sort(a + begin, a + end, cmp)</code>\uff0c\u5176\u4e2d\u00a0<code>end</code>\u00a0\u662f\u6392\u5e8f\u7684\u6570\u7ec4\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u7684\u540e\u4e00\u4f4d\uff0c<code>cmp</code>\u00a0\u4e3a\u81ea\u5b9a\u4e49\u7684\u6bd4\u8f83\u51fd\u6570\u3002</li> <li><code>stable_sort</code>\uff1a\u7a33\u5b9a\u6392\u5e8f\uff0c\u7528\u6cd5\u540c\u00a0<code>sort()</code>\u3002</li> <li><code>nth_element</code> \uff1a\u6309\u6307\u5b9a\u8303\u56f4\u8fdb\u884c\u5206\u7c7b\uff0c\u5373\u627e\u51fa\u5e8f\u5217\u4e2d\u7b2c \\(\\displaystyle n\\) \u5927\u7684\u5143\u7d20\uff0c\u4f7f\u5176\u5de6\u8fb9\u5747\u4e3a\u5c0f\u4e8e\u5b83\u7684\u6570\uff0c\u53f3\u8fb9\u5747\u4e3a\u5927\u4e8e\u5b83\u7684\u6570\u3002 <code>nth_element(v.begin(), v.begin() + mid, v.end(), cmp)</code>\u00a0\u6216\u00a0<code>nth_element(a + begin, a + begin + mid, a + end, cmp)</code> \u3002</li> <li><code>binary_search</code>\uff1a\u4e8c\u5206\u67e5\u627e\u3002<code>binary_search(v.begin(), v.end(), value)</code>\uff0c\u5176\u4e2d\u00a0<code>value</code>\u00a0\u4e3a\u9700\u8981\u67e5\u627e\u7684\u503c\u3002</li> <li><code>merge</code>\uff1a\u5c06\u4e24\u4e2a\uff08\u5df2\u6392\u5e8f\u7684\uff09\u5e8f\u5217\u00a0\u6709\u5e8f\u5408\u5e76\u00a0\u5230\u7b2c\u4e09\u4e2a\u5e8f\u5217\u7684\u00a0\u63d2\u5165\u8fed\u4ee3\u5668\u00a0\u4e0a\u3002<code>merge(v1.begin(), v1.end(), v2.begin(), v2.end() ,back_inserter(v3))</code>\u3002</li> <li><code>inplace_merge</code>\uff1a\u5c06\u4e24\u4e2a\uff08\u5df2\u6309\u5c0f\u4e8e\u8fd0\u7b97\u7b26\u6392\u5e8f\u7684\uff09\uff1a<code>[first,middle), [middle,last)</code>\u00a0\u8303\u56f4\u00a0\u539f\u5730\u5408\u5e76\u4e3a\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002<code>inplace_merge(v.begin(), v.begin() + middle, v.end())</code>\u3002</li> <li><code>lower_bound</code>\uff1a\u5728\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u4e2d\u8fdb\u884c\u4e8c\u5206\u67e5\u627e\uff0c\u8fd4\u56de\u6307\u5411\u7b2c\u4e00\u4e2a\u00a0\u5927\u4e8e\u7b49\u4e8e \u00a0\u7684\u5143\u7d20\u7684\u4f4d\u7f6e\u7684\u8fed\u4ee3\u5668\u3002\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u5143\u7d20\uff0c\u5219\u8fd4\u56de\u5c3e\u8fed\u4ee3\u5668\u3002<code>lower_bound(v.begin(),v.end(),x)</code>\u3002</li> <li><code>upper_bound</code>\uff1a\u5728\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u4e2d\u8fdb\u884c\u4e8c\u5206\u67e5\u627e\uff0c\u8fd4\u56de\u6307\u5411\u7b2c\u4e00\u4e2a\u00a0\u5927\u4e8e \u00a0\u7684\u5143\u7d20\u7684\u4f4d\u7f6e\u7684\u8fed\u4ee3\u5668\u3002\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u5143\u7d20\uff0c\u5219\u8fd4\u56de\u5c3e\u8fed\u4ee3\u5668\u3002<code>upper_bound(v.begin(),v.end(),x)</code>\u3002</li> <li><code>next_permutation</code>\uff1a\u5c06\u5f53\u524d\u6392\u5217\u66f4\u6539\u4e3a\u00a0\u5168\u6392\u5217\u4e2d\u7684\u4e0b\u4e00\u4e2a\u6392\u5217\u3002\u5982\u679c\u5f53\u524d\u6392\u5217\u5df2\u7ecf\u662f\u00a0\u5168\u6392\u5217\u4e2d\u7684\u6700\u540e\u4e00\u4e2a\u6392\u5217\uff08\u5143\u7d20\u5b8c\u5168\u4ece\u5927\u5230\u5c0f\u6392\u5217\uff09\uff0c\u51fd\u6570\u8fd4\u56de\u00a0<code>false</code>\u00a0\u5e76\u5c06\u6392\u5217\u66f4\u6539\u4e3a\u00a0\u5168\u6392\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u6392\u5217\uff08\u5143\u7d20\u5b8c\u5168\u4ece\u5c0f\u5230\u5927\u6392\u5217\uff09\uff1b\u5426\u5219\uff0c\u51fd\u6570\u8fd4\u56de\u00a0<code>true</code>\u3002<code>next_permutation(v.begin(), v.end())</code>\u00a0\u6216\u00a0<code>next_permutation(v + begin, v + end)</code>\u3002</li> <li><code>prev_permutation</code>\uff1a\u5c06\u5f53\u524d\u6392\u5217\u66f4\u6539\u4e3a\u00a0\u5168\u6392\u5217\u4e2d\u7684\u4e0a\u4e00\u4e2a\u6392\u5217\u3002\u7528\u6cd5\u540c\u00a0<code>next_permutation</code>\u3002</li> <li><code>partial_sum</code>\uff1a\u6c42\u524d\u7f00\u548c\u3002\u8bbe\u6e90\u5bb9\u5668\u4e3a\u00a0\uff0c\u76ee\u6807\u5bb9\u5668\u4e3a\u00a0\uff0c\u5219\u4ee4\u00a0\u3002<code>partial_sum(src.begin(), src.end(), back_inserter(dst))</code>\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#22-bitset","title":"2.2 bitset","text":"<p>TODO bitset - OI Wiki</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#23-string","title":"2.3 string","text":"<ul> <li>\u91cd\u8f7d\u8fd0\u7b97\u7b26</li> <li>\u52a8\u6001\u5206\u914d\u7a7a\u95f4</li> </ul> C++<pre><code>std::string s;\nprintf(\"%s\", s.c_str());\nprintf(\"s \u7684\u957f\u5ea6\u4e3a %lu\", s.size()); \nprintf(\"s \u7684\u957f\u5ea6\u4e3a %lu\", s.length()); \nprintf(\"s \u7684\u957f\u5ea6\u4e3a %lu\", strlen(s.c_str()));\nsubstr(pos, len);\ninsert(index, count, ch);\ninsert(index, str);\nerase(index, count);\nreplace(pos, count, str);\nreplace(first, last, str);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#24-pair","title":"2.4 pair","text":"<ul> <li><code>pair</code> \u4e0d\u9700\u8981\u989d\u5916\u5b9a\u4e49\u7ed3\u6784\u4e0e\u91cd\u8f7d\u8fd0\u7b97\u7b26</li> </ul> C++<pre><code>pair&lt;int, double&gt; p0(1, 2.0);\npair&lt;int, double&gt; p2 = make_pair(1, 2.0);\nauto p3 = make_pair(1, 2.0);\n\nint i = p0.first; \ndouble d = p0.second;\np1.first++;\n\npriority_queue&lt;pair&lt;int, double&gt; &gt; q;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3","title":"3 \u8fdb\u9636","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#31","title":"3.1 \u7c7b","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#32","title":"3.2 \u52a8\u6001\u5185\u5b58","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#321-new-delete","title":"3.2.1 new \u548c delete \u8fd0\u7b97\u7b26","text":"<ul> <li>\u6808: \u58f0\u660e\u7684\u6240\u6709\u53d8\u91cf\u5c06\u5360\u7528\u6808\u5185\u5b58</li> <li>\u5806: \u672a\u4f7f\u7528\u7684\u5185\u5b58</li> </ul> C++<pre><code>new data-type;\n\ndouble* pvalue = NULL;\npvalue = new double;\n\nif (!(pvalue = new double)) {\n    cout &lt;&lt; \"Error: out of memory.\" &lt;&lt; endl;\n    exit(1);\n}\n\ndelete pvalue;\n</code></pre> <ul> <li>new \u4e0d\u4ec5\u5206\u914d\u7684\u5185\u5b58\u8fd8\u521b\u5efa\u4e86\u5bf9\u8c61</li> <li>malloc () \u53ea\u5206\u914d\u7684\u5185\u5b58</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#322","title":"3.2.2 \u6570\u7ec4\u7684\u52a8\u6001\u5185\u5b58\u5206\u914d","text":"C++<pre><code>int ***array;\n// \u5047\u5b9a\u6570\u7ec4\u7b2c\u4e00\u7ef4\u4e3a m\uff0c \u7b2c\u4e8c\u7ef4\u4e3a n\uff0c \u7b2c\u4e09\u7ef4\u4e3ah\n// \u52a8\u6001\u5206\u914d\u7a7a\u95f4\narray = new int **[m];\nfor( int i=0; i&lt;m; i++ )\n{\n    array[i] = new int *[n];\n    for( int j=0; j&lt;n; j++ )\n    {\n        array[i][j] = new int [h];\n    }\n}\n//\u91ca\u653e\nfor( int i=0; i&lt;m; i++ )\n{\n    for( int j=0; j&lt;n; j++ )\n    {\n        delete [] array[i][j];\n    }\n    delete [] array[i];\n}\ndelete [] array;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#323","title":"3.2.3 \u5bf9\u8c61\u7684\u52a8\u6001\u5185\u5b58\u5206\u914d","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\nclass Box\n{\n   public:\n      Box() { \n         cout &lt;&lt; \"\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\" &lt;&lt;endl; \n      }\n      ~Box() { \n         cout &lt;&lt; \"\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\" &lt;&lt;endl; \n      }\n};\n\nint main( )\n{\n   Box* myBoxArray = new Box[4]; // \u4e00\u4e2a\u5305\u542b 4 \u4e2a Box \u5bf9\u8c61\u7684\u6570\u7ec4\n\n   delete [] myBoxArray; // \u5220\u9664\u6570\u7ec4\n   return 0;\n}\n</code></pre> Text Only<pre><code>\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#33","title":"3.3 \u547d\u540d\u7a7a\u95f4","text":"<ul> <li>\u7f16\u8bd1\u5668\u4e3a\u4e86\u533a\u522b\u540c\u540d\u51fd\u6570\u5f15\u5165\u4e86\u547d\u540d\u7a7a\u95f4</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#331","title":"3.3.1 \u5b9a\u4e49\u547d\u540d\u7a7a\u95f4","text":"C++<pre><code>namespace namespace_name {\n // code\n}\n\nnamespace_name::code;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#332-using","title":"3.3.2 using \u6307\u4ee4","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#333","title":"3.3.3 \u4e0d\u8fde\u7eed\u7684\u547d\u540d\u7a7a\u95f4","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#334","title":"3.3.4 \u5d4c\u5957\u7684\u547d\u540d\u7a7a\u95f4","text":"C++<pre><code>namespace namespace_name1 {\n   // \u4ee3\u7801\u58f0\u660e\n   namespace namespace_name2 {\n      // \u4ee3\u7801\u58f0\u660e\n   }\n}\n\n// \u8bbf\u95ee namespace_name2 \u4e2d\u7684\u6210\u5458\nusing namespace namespace_name1::namespace_name2;\n\n// \u8bbf\u95ee namespace_name1 \u4e2d\u7684\u6210\u5458\nusing namespace namespace_name1;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#34","title":"3.4 \u6a21\u677f","text":"<ul> <li>\u6cdb\u578b\u7f16\u7a0b: \u72ec\u7acb\u4e8e\u4efb\u4f55\u7279\u5b9a\u7c7b\u578b\u7684\u65b9\u5f0f\u5199\u4ee3\u7801</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#341","title":"3.4.1 \u51fd\u6570\u6a21\u677f","text":"C++<pre><code>template &lt;typename type&gt; ret-type func-name(parameter list)\n{\n   // \u51fd\u6570\u7684\u4e3b\u4f53\n}\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;string&gt;\n\nusing namespace std;\n\ntemplate &lt;typename T&gt;\ninline T const&amp; Max (T const&amp; a, T const&amp; b) \n{ \n    return a &lt; b ? b:a; \n} \n\nint main ()\n{\n\n    int i = 39;\n    int j = 20;\n    cout &lt;&lt; \"Max(i, j): \" &lt;&lt; Max(i, j) &lt;&lt; endl; \n\n    double f1 = 13.5; \n    double f2 = 20.7; \n    cout &lt;&lt; \"Max(f1, f2): \" &lt;&lt; Max(f1, f2) &lt;&lt; endl; \n\n    string s1 = \"Hello\"; \n    string s2 = \"World\"; \n    cout &lt;&lt; \"Max(s1, s2): \" &lt;&lt; Max(s1, s2) &lt;&lt; endl; \n\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#342","title":"3.4.2 \u7c7b\u6a21\u677f","text":"C++<pre><code>template &lt;class type&gt; class class-name {\n// code\n}\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;vector&gt;\n#include &lt;cstdlib&gt;\n#include &lt;string&gt;\n#include &lt;stdexcept&gt;\n\nusing namespace std;\n\ntemplate &lt;class T&gt;\nclass Stack { \n  private: \n    vector&lt;T&gt; elems;     // \u5143\u7d20 \n\n  public: \n    void push(T const&amp;);  // \u5165\u6808\n    void pop();               // \u51fa\u6808\n    T top() const;            // \u8fd4\u56de\u6808\u9876\u5143\u7d20\n    bool empty() const{       // \u5982\u679c\u4e3a\u7a7a\u5219\u8fd4\u56de\u771f\u3002\n        return elems.empty(); \n    } \n}; \n\ntemplate &lt;class T&gt;\nvoid Stack&lt;T&gt;::push (T const&amp; elem) \n{ \n    // \u8ffd\u52a0\u4f20\u5165\u5143\u7d20\u7684\u526f\u672c\n    elems.push_back(elem);    \n} \n\ntemplate &lt;class T&gt;\nvoid Stack&lt;T&gt;::pop () \n{ \n    if (elems.empty()) { \n        throw out_of_range(\"Stack&lt;&gt;::pop(): empty stack\"); \n    }\n    // \u5220\u9664\u6700\u540e\u4e00\u4e2a\u5143\u7d20\n    elems.pop_back();         \n} \n\ntemplate &lt;class T&gt;\nT Stack&lt;T&gt;::top () const \n{ \n    if (elems.empty()) { \n        throw out_of_range(\"Stack&lt;&gt;::top(): empty stack\"); \n    }\n    // \u8fd4\u56de\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u7684\u526f\u672c \n    return elems.back();      \n} \n\nint main() \n{ \n    try { \n        Stack&lt;int&gt;       intStack;    // int \u7c7b\u578b\u7684\u6808 \n        Stack&lt;string&gt; stringStack;    // string \u7c7b\u578b\u7684\u6808 \n\n        // \u64cd\u4f5c int \u7c7b\u578b\u7684\u6808 \n        intStack.push(7); \n        cout &lt;&lt; intStack.top() &lt;&lt;endl; \n\n        // \u64cd\u4f5c string \u7c7b\u578b\u7684\u6808 \n        stringStack.push(\"hello\"); \n        cout &lt;&lt; stringStack.top() &lt;&lt; std::endl; \n        stringStack.pop(); \n        stringStack.pop(); \n    } \n    catch (exception const&amp; ex) { \n        cerr &lt;&lt; \"Exception: \" &lt;&lt; ex.what() &lt;&lt;endl; \n        return -1;\n    } \n}\n</code></pre> Text Only<pre><code>7\nhello\nException: Stack&lt;&gt;::pop(): empty stack\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#35","title":"3.5 \u9884\u5904\u7406\u5668","text":"<ul> <li>\u4e0d\u662f C++\u8bed\u53e5\uff0c\u4e0d\u4f1a\u4ee5\u5206\u53f7\u7ed3\u5c3e</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#351-define","title":"3.5.1 #define \u9884\u5904\u7406","text":"C++<pre><code>#define macro-name replacement-text \n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#352","title":"3.5.2 \u53c2\u6570\u5b8f","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#define MIN(a,b) (a&lt;b ? a : b)\n\nint main ()\n{\n   int i, j;\n   i = 100;\n   j = 30;\n   cout &lt;&lt;\"\u8f83\u5c0f\u7684\u503c\u4e3a\uff1a\" &lt;&lt; MIN(i, j) &lt;&lt; endl;\n\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#353","title":"3.5.3 \u6761\u4ef6\u7f16\u8bd1","text":"C++<pre><code>#ifdef NULL\n   #define NULL 0\n#endif\n\n#ifdef DEBUG\n   cerr &lt;&lt;\"Variable x = \" &lt;&lt; x &lt;&lt; endl;\n#endif\n\n#if 0\n   \u4e0d\u8fdb\u884c\u7f16\u8bd1\u7684\u4ee3\u7801\n#endif\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#354","title":"3.5.4 # \u548c ## \u8fd0\u7b97\u7b26","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#define MKSTR( x ) #x\n\nint main ()\n{\n    cout &lt;&lt; MKSTR(HELLO C++) &lt;&lt; endl;\n\n    return 0;\n}\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#define concat(a, b) a ## b\nint main()\n{\n   int xy = 100;\n\n   cout &lt;&lt; concat(x, y);\n   return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#355","title":"3.5.5 \u9884\u5b9a\u4e49\u5b8f","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#36","title":"3.6 \u4fe1\u53f7\u5904\u7406","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#361-signal","title":"3.6.1 signal () \u51fd\u6570","text":"C++<pre><code>void (*signal (int sig, void (*func)(int)))(int); \n\nsignal(registered signal, signal handler)\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;csignal&gt;\n#include &lt;unistd.h&gt;\n\nusing namespace std;\n\nvoid signalHandler( int signum )\n{\n    cout &lt;&lt; \"Interrupt signal (\" &lt;&lt; signum &lt;&lt; \") received.\\n\";\n\n    // \u6e05\u7406\u5e76\u5173\u95ed\n    // \u7ec8\u6b62\u7a0b\u5e8f  \n\n   exit(signum);  \n\n}\n\nint main ()\n{\n    // \u6ce8\u518c\u4fe1\u53f7 SIGINT \u548c\u4fe1\u53f7\u5904\u7406\u7a0b\u5e8f\n    signal(SIGINT, signalHandler);  \n\n    while(1){\n       cout &lt;&lt; \"Going to sleep....\" &lt;&lt; endl;\n       sleep(1);\n    }\n\n    return 0;\n}\n</code></pre> <p>\u6309 Ctrl + C \u4e2d\u65ad\u7a0b\u5e8f:</p> Text Only<pre><code>Going to sleep....\nGoing to sleep....\nGoing to sleep....\nInterrupt signal (2) received.\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#362-raise","title":"3.6.2 raise () \u51fd\u6570","text":"C++<pre><code>int raise (signal sig);\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;csignal&gt;\n#include &lt;unistd.h&gt;\n\nusing namespace std;\n\nvoid signalHandler( int signum )\n{\n    cout &lt;&lt; \"Interrupt signal (\" &lt;&lt; signum &lt;&lt; \") received.\\n\";\n\n    // \u6e05\u7406\u5e76\u5173\u95ed\n    // \u7ec8\u6b62\u7a0b\u5e8f \n\n   exit(signum);  \n\n}\n\nint main ()\n{\n    int i = 0;\n    // \u6ce8\u518c\u4fe1\u53f7 SIGINT \u548c\u4fe1\u53f7\u5904\u7406\u7a0b\u5e8f\n    signal(SIGINT, signalHandler);  \n\n    while(++i){\n       cout &lt;&lt; \"Going to sleep....\" &lt;&lt; endl;\n       if( i == 3 ){\n          raise(SIGINT);\n       }\n       sleep(1);\n    }\n\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#37","title":"3.7 \u591a\u7ebf\u7a0b","text":"<ul> <li>\u4e24\u79cd\u7c7b\u578b\u7684\u591a\u4efb\u52a1\u5904\u7406<ul> <li>\u57fa\u4e8e\u8fdb\u7a0b\u662f\u7a0b\u5e8f\u7684\u5e76\u53d1\u6267\u884c</li> <li>\u57fa\u4e8e\u7ebf\u7a0b\u662f\u540c\u4e00\u7a0b\u5e8f\u7684\u7247\u6bb5\u7684\u5e76\u53d1\u6267\u884c</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#371","title":"3.7.1 \u6982\u5ff5\u8bf4\u660e","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3711-thread","title":"3.7.1.1 \u7ebf\u7a0b\uff08Thread\uff09","text":"<ul> <li>\u7ebf\u7a0b\u662f\u7a0b\u5e8f\u6267\u884c\u4e2d\u7684\u5355\u4e00\u987a\u5e8f\u63a7\u5236\u6d41\uff0c\u591a\u4e2a\u7ebf\u7a0b\u53ef\u4ee5\u5728\u540c\u4e00\u4e2a\u8fdb\u7a0b\u4e2d\u72ec\u7acb\u8fd0\u884c\u3002</li> <li>\u7ebf\u7a0b\u5171\u4eab\u8fdb\u7a0b\u7684\u5730\u5740\u7a7a\u95f4\u3001\u6587\u4ef6\u63cf\u8ff0\u7b26\u3001\u5806\u548c\u5168\u5c40\u53d8\u91cf\u7b49\u8d44\u6e90\uff0c\u4f46\u6bcf\u4e2a\u7ebf\u7a0b\u6709\u81ea\u5df1\u7684\u6808\u3001\u5bc4\u5b58\u5668\u548c\u7a0b\u5e8f\u8ba1\u6570\u5668\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3712-concurrency-parallelism","title":"3.7.1.2 \u5e76\u53d1\uff08Concurrency\uff09\u4e0e\u5e76\u884c \uff08Parallelism\uff09","text":"<ul> <li>\u5e76\u53d1\uff1a\u591a\u4e2a\u4efb\u52a1\u5728\u65f6\u95f4\u7247\u6bb5\u5185\u4ea4\u66ff\u6267\u884c\uff0c\u8868\u73b0\u51fa\u540c\u65f6\u8fdb\u884c\u7684\u6548\u679c\u3002</li> <li>\u5e76\u884c\uff1a\u591a\u4e2a\u4efb\u52a1\u5728\u591a\u4e2a\u5904\u7406\u5668\u6216\u5904\u7406\u5668\u6838\u4e0a\u540c\u65f6\u6267\u884c\u3002 C++11 \u4ee5\u540e\u6709\u591a\u7ebf\u7a0b\u652f\u6301:</li> <li>std::thread\uff1a\u7528\u4e8e\u521b\u5efa\u548c\u7ba1\u7406\u7ebf\u7a0b\u3002</li> <li>std::mutex\uff1a\u7528\u4e8e\u7ebf\u7a0b\u4e4b\u95f4\u7684\u4e92\u65a5\uff0c\u9632\u6b62\u591a\u4e2a\u7ebf\u7a0b\u540c\u65f6\u8bbf\u95ee\u5171\u4eab\u8d44\u6e90\u3002</li> <li>std::lock_guard\u00a0\u548c\u00a0std::unique_lock\uff1a\u7528\u4e8e\u7ba1\u7406\u9501\u7684\u83b7\u53d6\u548c\u91ca\u653e\u3002</li> <li>std::condition_variable\uff1a\u7528\u4e8e\u7ebf\u7a0b\u95f4\u7684\u6761\u4ef6\u53d8\u91cf\uff0c\u534f\u8c03\u7ebf\u7a0b\u95f4\u7684\u7b49\u5f85\u548c\u901a\u77e5\u3002</li> <li>std::future\u00a0\u548c\u00a0std::promise\uff1a\u7528\u4e8e\u5b9e\u73b0\u7ebf\u7a0b\u95f4\u7684\u503c\u4f20\u9012\u548c\u4efb\u52a1\u540c\u6b65\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#372","title":"3.7.2 \u521b\u5efa\u7ebf\u7a0b","text":"C++<pre><code>#include&lt;thread&gt;\nstd::thread thread_object(callable, args...);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3721","title":"3.7.2.1 \u4f7f\u7528\u51fd\u6570\u6307\u9488","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nvoid printMessage(int count) {\n    for (int i = 0; i &lt; count; ++i) {\n        std::cout &lt;&lt; \"Hello from thread (function pointer)!\\n\";\n    }\n}\n\nint main() {\n    std::thread t1(printMessage, 5); // \u521b\u5efa\u7ebf\u7a0b\uff0c\u4f20\u9012\u51fd\u6570\u6307\u9488\u548c\u53c2\u6570\n    t1.join(); // \u7b49\u5f85\u7ebf\u7a0b\u5b8c\u6210\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3722","title":"3.7.2.2 \u4f7f\u7528\u51fd\u6570\u5bf9\u8c61","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nclass PrintTask {\npublic:\n    void operator()(int count) const {\n        for (int i = 0; i &lt; count; ++i) {\n            std::cout &lt;&lt; \"Hello from thread (function object)!\\n\";\n        }\n    }\n};\n\nint main() {\n    std::thread t2(PrintTask(), 5); // \u521b\u5efa\u7ebf\u7a0b\uff0c\u4f20\u9012\u51fd\u6570\u5bf9\u8c61\u548c\u53c2\u6570\n    t2.join(); // \u7b49\u5f85\u7ebf\u7a0b\u5b8c\u6210\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3723-lambda","title":"3.7.2.3 \u4f7f\u7528 Lambda \u8868\u8fbe\u5f0f","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nint main() {\n    std::thread t3([](int count) {\n        for (int i = 0; i &lt; count; ++i) {\n            std::cout &lt;&lt; \"Hello from thread (lambda)!\\n\";\n        }\n    }, 5); // \u521b\u5efa\u7ebf\u7a0b\uff0c\u4f20\u9012 Lambda \u8868\u8fbe\u5f0f\u548c\u53c2\u6570\n    t3.join(); // \u7b49\u5f85\u7ebf\u7a0b\u5b8c\u6210\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3724","title":"3.7.2.4 \u7ebf\u7a0b\u7ba1\u7406","text":"C++<pre><code>t.join();\nt.detach();\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3725","title":"3.7.2.5 \u7ebf\u7a0b\u7684\u4f20\u53c2","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3726","title":"3.7.2.6 \u503c\u4f20\u9012","text":"C++<pre><code>std::thread t(funx, arg1, arg2);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3727","title":"3.7.2.7 \u5f15\u7528\u4f20\u9012","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nvoid increment(int&amp; x) {\n    ++x;\n}\n\nint main() {\n    int num = 0;\n    std::thread t(increment, std::ref(num)); // \u4f7f\u7528 std::ref \u4f20\u9012\u5f15\u7528\n    t.join();\n    std::cout &lt;&lt; \"Value after increment: \" &lt;&lt; num &lt;&lt; std::endl;\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#373","title":"3.7.3 \u7ebf\u7a0b\u540c\u6b65\u4e0e\u4e92\u65a5","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3731-mutex","title":"3.7.3.1 \u4e92\u65a5\u91cf\uff08Mutex\uff09","text":"C++<pre><code>std::mutex mtx;\nmtx.lock();   // \u9501\u5b9a\u4e92\u65a5\u9501\n// \u8bbf\u95ee\u5171\u4eab\u8d44\u6e90\nmtx.unlock();// \u91ca\u653e\u4e92\u65a5\u9501\n\nstd::lock_guard&lt;std::mutex&gt; lock(mtx); // \u81ea\u52a8\u9501\u5b9a\u548c\u89e3\u9501\n// \u8bbf\u95ee\u5171\u4eab\u8d44\u6e90\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3732-locks","title":"3.7.3.2 \u9501\uff08Locks\uff09","text":"<ul> <li><code>std::lock_guard</code> \uff1a\u4f5c\u7528\u57df\u9501\uff0c\u5f53\u6784\u9020\u65f6\u81ea\u52a8\u9501\u5b9a\u4e92\u65a5\u91cf\uff0c\u5f53\u6790\u6784\u65f6\u81ea\u52a8\u89e3\u9501\u3002</li> <li><code>std::unique_lock</code> \uff1a\u4e0e <code>std::lock_guard</code> \u7c7b\u4f3c\uff0c\u4f46\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u7075\u6d3b\u6027\uff0c\u4f8b\u5982\u53ef\u4ee5\u8f6c\u79fb\u6240\u6709\u6743\u548c\u624b\u52a8\u89e3\u9501\u3002</li> </ul> C++<pre><code>#include &lt;mutex&gt;\n\nstd::mutex mtx;\n\nvoid safeFunctionWithLockGuard() {\n    std::lock_guard&lt;std::mutex&gt; lk(mtx);\n    // \u8bbf\u95ee\u6216\u4fee\u6539\u5171\u4eab\u8d44\u6e90\n}\n\nvoid safeFunctionWithUniqueLock() {\n    std::unique_lock&lt;std::mutex&gt; ul(mtx);\n    // \u8bbf\u95ee\u6216\u4fee\u6539\u5171\u4eab\u8d44\u6e90\n    // ul.unlock(); // \u53ef\u9009\uff1a\u624b\u52a8\u89e3\u9501\n    // ...\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3733-condition-variable","title":"3.7.3.3 \u6761\u4ef6\u53d8\u91cf\uff08Condition Variable\uff09","text":"C++<pre><code>std::condition_variable cv;\nstd::mutex mtx;\nbool ready = false;\n\nstd::unique_lock&lt;std::mutex&gt; lock(mtx);\ncv.wait(lock, []{ return ready; }); // \u7b49\u5f85\u6761\u4ef6\u6ee1\u8db3\n// \u6761\u4ef6\u6ee1\u8db3\u540e\u6267\u884c\n</code></pre> C++<pre><code>#include &lt;mutex&gt;\n#include &lt;condition_variable&gt;\n\nstd::mutex mtx;\nstd::condition_variable cv;\nbool ready = false;\n\nvoid workerThread() {\n    std::unique_lock&lt;std::mutex&gt; lk(mtx);\n    cv.wait(lk, []{ return ready; }); // \u7b49\u5f85\u6761\u4ef6\n    // \u5f53\u6761\u4ef6\u6ee1\u8db3\u65f6\u6267\u884c\u5de5\u4f5c\n}\n\nvoid mainThread() {\n    {\n        std::lock_guard&lt;std::mutex&gt; lk(mtx);\n        // \u51c6\u5907\u6570\u636e\n        ready = true;\n    } // \u79bb\u5f00\u4f5c\u7528\u57df\u65f6\u89e3\u9501\n    cv.notify_one(); // \u901a\u77e5\u4e00\u4e2a\u7b49\u5f85\u7684\u7ebf\u7a0b\n}\n</code></pre> <p>TODO</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3734-atomic-operations","title":"3.7.3.4 \u539f\u5b50\u64cd\u4f5c\uff08Atomic Operations\uff09","text":"<ul> <li>\u5bf9\u5171\u4eab\u6570\u636e\u7684\u8bbf\u95ee\u4e0d\u53ef\u5206\u5272</li> </ul> C++<pre><code>#include &lt;atomic&gt;\n#include &lt;thread&gt;\n\nstd::atomic&lt;int&gt; count(0);\n\nvoid increment() {\n    count.fetch_add(1, std::memory_order_relaxed);\n}\n\nint main() {\n    std::thread t1(increment);\n    std::thread t2(increment);\n    t1.join();\n    t2.join();\n    return count; // \u5e94\u8fd4\u56de2\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3735-thread-local-storagetls","title":"3.7.3.5 \u7ebf\u7a0b\u5c40\u90e8\u5b58\u50a8\uff08Thread Local Storage\uff0cTLS\uff09","text":"<ul> <li>\u5141\u8bb8\u6bcf\u4e2a\u7ebf\u7a0b\u6709\u81ea\u5df1\u7684\u6570\u636e\u526f\u672c</li> </ul> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nthread_local int threadData = 0;\n\nvoid threadFunction() {\n    threadData = 42; // \u6bcf\u4e2a\u7ebf\u7a0b\u90fd\u6709\u81ea\u5df1\u7684threadData\u526f\u672c\n    std::cout &lt;&lt; \"Thread data: \" &lt;&lt; threadData &lt;&lt; std::endl;\n}\n\nint main() {\n    std::thread t1(threadFunction);\n    std::thread t2(threadFunction);\n    t1.join();\n    t2.join();\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3736-deadlock","title":"3.7.3.6 \u6b7b\u9501\uff08Deadlock\uff09\u548c\u907f\u514d\u7b56\u7565","text":"<ul> <li>\u6b7b\u9501\u5373\u591a\u4e2a\u7ebf\u7a0b\u4e92\u76f8\u7b49\u5f85\u5bf9\u65b9\u91ca\u653e\u8d44\u6e90<ul> <li>\u603b\u662f\u4ee5\u76f8\u540c\u7684\u987a\u5e8f\u8bf7\u6c42\u8d44\u6e90\u3002</li> <li>\u4f7f\u7528\u8d85\u65f6\u6765\u5c1d\u8bd5\u83b7\u53d6\u8d44\u6e90\u3002</li> <li>\u4f7f\u7528\u6b7b\u9501\u68c0\u6d4b\u7b97\u6cd5\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#374","title":"3.7.4 \u7ebf\u7a0b\u95f4\u901a\u4fe1","text":"C++<pre><code>std::promise&lt;int&gt; p;\nstd::future&lt;int&gt; f = p.get_future();\n\nstd::thread t([&amp;p] {\n    p.set_value(10); // \u8bbe\u7f6e\u503c\uff0c\u89e6\u53d1 future\n});\n\nint result = f.get(); // \u83b7\u53d6\u503c\n</code></pre> <p>C++17 \u5f15\u5165\u4e86\u5e76\u884c\u7b97\u6cd5\u5e93</p> C++<pre><code>#include &lt;algorithm&gt;\n#include &lt;vector&gt;\n#include &lt;execution&gt;\n\nstd::vector&lt;int&gt; vec = {1, 2, 3, 4, 5};\nstd::for_each(std::execution::par, vec.begin(), vec.end(), [](int &amp;n) {\n    n *= 2;\n});\n</code></pre> <p>TODO \u591a\u7ebf\u7a0b\u5b9e\u4f8b</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#38-web","title":"3.8 Web \u7f16\u7a0b","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#381-cgi","title":"3.8.1 \u4ec0\u4e48\u662f CGI\uff1f","text":"<ul> <li>\u516c\u5171\u7f51\u5173\u63a5\u53e3\uff08CGI\uff09\uff0c\u662f\u4e00\u5957\u6807\u51c6\uff0c\u5b9a\u4e49\u4e86\u4fe1\u606f\u662f\u5982\u4f55\u5728 Web \u670d\u52a1\u5668\u548c\u5ba2\u6237\u7aef\u811a\u672c\u4e4b\u95f4\u8fdb\u884c\u4ea4\u6362\u7684\u3002</li> <li>CGI \u89c4\u8303\u76ee\u524d\u662f\u7531 NCSA \u7ef4\u62a4\u7684\uff0cNCSA \u5b9a\u4e49 CGI \u5982\u4e0b\uff1a<ul> <li>\u516c\u5171\u7f51\u5173\u63a5\u53e3\uff08CGI\uff09\uff0c\u662f\u4e00\u79cd\u7528\u4e8e\u5916\u90e8\u7f51\u5173\u7a0b\u5e8f\u4e0e\u4fe1\u606f\u670d\u52a1\u5668\uff08\u5982 HTTP \u670d\u52a1\u5668\uff09\u5bf9\u63a5\u7684\u63a5\u53e3\u6807\u51c6\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#382-web","title":"3.8.2 Web \u6d4f\u89c8","text":"<ul> <li>\u60a8\u7684\u6d4f\u89c8\u5668\u8054\u7cfb\u4e0a HTTP Web \u670d\u52a1\u5668\uff0c\u5e76\u8bf7\u6c42 URL\uff0c\u5373\u6587\u4ef6\u540d\u3002</li> <li>Web \u670d\u52a1\u5668\u5c06\u89e3\u6790 URL\uff0c\u5e76\u67e5\u627e\u6587\u4ef6\u540d\u3002\u5982\u679c\u627e\u5230\u8bf7\u6c42\u7684\u6587\u4ef6\uff0cWeb \u670d\u52a1\u5668\u4f1a\u628a\u6587\u4ef6\u53d1\u9001\u56de\u6d4f\u89c8\u5668\uff0c\u5426\u5219\u53d1\u9001\u4e00\u6761\u9519\u8bef\u6d88\u606f\uff0c\u8868\u660e\u60a8\u8bf7\u6c42\u4e86\u4e00\u4e2a\u9519\u8bef\u7684\u6587\u4ef6\u3002</li> <li>Web \u6d4f\u89c8\u5668\u4ece Web \u670d\u52a1\u5668\u83b7\u53d6\u54cd\u5e94\uff0c\u5e76\u6839\u636e\u63a5\u6536\u5230\u7684\u54cd\u5e94\u6765\u663e\u793a\u6587\u4ef6\u6216\u9519\u8bef\u6d88\u606f\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#383-cgi","title":"3.8.3 CGI \u67b6\u6784\u56fe","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#384-web","title":"3.8.4 Web \u670d\u52a1\u5668\u914d\u7f6e","text":"<p>TODO</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/","title":"COMPOSING PROGRAMS","text":"<p> \u7ea6 2713 \u4e2a\u5b57  651 \u884c\u4ee3\u7801  2 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 17 \u5206\u949f</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#1","title":"1 \u4f7f\u7528\u51fd\u6570\u6784\u5efa\u62bd\u8c61","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#11","title":"1.1 \u5f00\u59cb","text":"<p>\u7a0b\u5e8f\u7531\u4e24\u90e8\u5206\u7ec4\u6210:</p> <ul> <li>\u8ba1\u7b97\u4e00\u4e9b\u503c</li> <li>\u6267\u884c\u4e00\u4e9b\u64cd\u4f5c</li> <li>\u51fd\u6570</li> <li>\u5bf9\u8c61</li> <li>\u89e3\u91ca\u5668:<ul> <li>\u7528\u4e8e\u8ba1\u7b97\u590d\u6742\u8868\u8fbe\u5f0f\u7684\u7a0b\u5e8f</li> </ul> </li> <li>\u589e\u91cf\u6d4b\u8bd5\u3001\u6a21\u5757\u5316\u8bbe\u8ba1\u3001\u660e\u786e\u7684\u5047\u8bbe\u548c\u56e2\u961f\u5408\u4f5c</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#12","title":"1.2 \u7f16\u7a0b\u8981\u7d20","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#121","title":"1.2.1 \u8868\u8fbe\u5f0f","text":"<ul> <li>\u8bed\u8a00\u8981\u6709\u7684\u673a\u5236:<ul> <li>\u539f\u59cb\u8868\u8fbe\u5f0f\u548c\u8bed\u53e5\uff1a\u8bed\u8a00\u6240\u5173\u5fc3\u7684\u6700\u7b80\u5355\u7684\u4e2a\u4f53</li> <li>\u7ec4\u5408\u65b9\u6cd5\uff1a\u7531\u7b80\u5355\u5143\u7d20\u7ec4\u5408\u6784\u5efa\u590d\u5408\u5143\u7d20</li> <li>\u62bd\u8c61\u65b9\u6cd5\uff1a\u547d\u540d\u590d\u5408\u5143\u7d20\uff0c\u5e76\u5c06\u5176\u4f5c\u4e3a\u5355\u5143\u8fdb\u884c\u64cd\u4f5c  </li> </ul> </li> <li>infix notation</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#122","title":"1.2.2 \u8c03\u7528\u8868\u8fbe\u5f0f","text":"<ul> <li>subexpressions  </li> <li>\u7528\u53c2\u6570\u6765\u8c03\u7528\u51fd\u6570  </li> <li>nested\uff08\u5d4c\u5957\uff09</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#123","title":"1.2.3 \u5bfc\u5165\u5e93\u51fd\u6570","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#124","title":"1.2.4 \u540d\u79f0\u4e0e\u73af\u5883","text":"<ul> <li>= is assignment operator<ul> <li>\u6700\u7b80\u5355\u7684\u62bd\u8c61\u65b9\u6cd5</li> </ul> </li> <li>environment</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#125","title":"1.2.5 \u6c42\u89e3\u5d4c\u5957\u8868\u8fbe\u5f0f","text":"<p>\u6c42\u503c\u7a0b\u5e8f\u672c\u8d28\u4e0a\u662f\u9012\u5f52\u7684 </p> <ul> <li>\u8868\u8fbe\u5f0f\u6811</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#126-print","title":"1.2.6 \u975e\u7eaf\u51fd\u6570 print","text":"<p>Pure functions None-pure functions     which has a side effect</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#13","title":"1.3 \u5b9a\u4e49\u65b0\u7684\u51fd\u6570","text":"Python<pre><code>def &lt;name&gt;(&lt;formal parameters&gt;):\n    return &lt;return expression&gt;  \n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#131","title":"1.3.1 \u73af\u5883","text":"<p>environment has some frames     frames have some bindings</p> <ul> <li>intrinsic name</li> <li>bound name \u4e0d\u540c\u7684\u540d\u79f0\u53ef\u80fd\u6307\u7684\u662f\u540c\u4e00\u4e2a\u51fd\u6570\uff0c\u4f46\u8be5\u51fd\u6570\u672c\u8eab\u53ea\u6709\u4e00\u4e2a\u5185\u5728\u540d\u79f0 \u5bf9\u51fd\u6570\u5f62\u5f0f\u53c2\u6570\u7684\u63cf\u8ff0\u88ab\u79f0\u4e3a\u51fd\u6570\u7684\u7b7e\u540d</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#132","title":"1.3.2 \u8c03\u7528\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570","text":"<ol> <li>\u5728\u65b0\u7684\u5c40\u90e8\u5e27\u4e2d\uff0c\u5c06\u5b9e\u53c2\u7ed1\u5b9a\u5230\u51fd\u6570\u7684\u5f62\u53c2\u4e0a\u3002</li> <li>\u5728\u4ee5\u6b64\u5e27\u5f00\u59cb\u7684\u73af\u5883\u4e2d\u6267\u884c\u51fd\u6570\u4f53\u3002 name evaluation</li> </ol>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#133","title":"1.3.3 \u793a\u4f8b\uff1a\u8c03\u7528\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#134","title":"1.3.4 \u5c40\u90e8\u540d\u79f0","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#135","title":"1.3.5 \u9009\u62e9\u540d\u79f0","text":"<p>PEP 8 \u2013 Style Guide for Python Code | peps.python.org</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#136","title":"1.3.6 \u62bd\u8c61\u51fd\u6570","text":"<ul> <li>functional abstraction<ul> <li>domain</li> <li>range</li> <li>intent</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#137","title":"1.3.7 \u8fd0\u7b97\u7b26","text":"<ul> <li>truediv</li> <li>floordiv</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#14","title":"1.4 \u8bbe\u8ba1\u51fd\u6570","text":"<ul> <li>\u4e00\u4e2a\u51fd\u6570\u4e00\u4e2a\u4efb\u52a1</li> <li>Don't repeat yourself (DRY)</li> <li>\u5b9a\u4e49\u901a\u7528\u7684\u51fd\u6570</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#141","title":"1.4.1 \u6587\u6863","text":"<p>docstring</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#142","title":"1.4.2 \u53c2\u6570\u9ed8\u8ba4\u503c","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#15","title":"1.5 \u63a7\u5236","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#151","title":"1.5.1 \u8bed\u53e5","text":"<ul> <li>assignment</li> <li>def </li> <li>return</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#152","title":"1.5.2 \u590d\u5408\u8bed\u53e5","text":"<p>header suite</p> Python<pre><code>&lt;header&gt;:\n    &lt;statement&gt;\n    &lt;statement&gt;\n    ...\n&lt;separating header&gt;:\n    &lt;statement&gt;\n    &lt;statement&gt;\n    ...\n...\n</code></pre> <p>def \u662f\u590d\u5408\u8bed\u53e5 the header controls its suite \u8fd9\u4e2a\u5b9a\u4e49\u63ed\u793a\u4e86\u9012\u5f52\u5b9a\u4e49\u5e8f\u5217\uff08sequence\uff09\u7684\u57fa\u672c\u7ed3\u6784\uff1a\u4e00\u4e2a\u5e8f\u5217\u53ef\u4ee5\u5206\u89e3\u6210\u5b83\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u548c\u5176\u4f59\u5143\u7d20 redirected control</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#153-ii","title":"1.5.3 \u00a0\u5b9a\u4e49\u51fd\u6570 II\uff1a\u5c40\u90e8\u8d4b\u503c","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#154","title":"1.5.4 \u6761\u4ef6\u8bed\u53e5","text":"Python<pre><code>if &lt;expression&gt;:\n    &lt;suite&gt;\nelif &lt;expression&gt;:\n    &lt;suite&gt;\nelse:\n    &lt;suite&gt;\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#155","title":"1.5.5 \u8fed\u4ee3","text":"<p>iteractive control</p> Python<pre><code>while &lt;expression&gt;:\n    &lt;suite&gt;\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#156","title":"1.5.6 \u6d4b\u8bd5","text":"<p>assertions</p> Python<pre><code>&gt;&gt;&gt; assert fib(8) == 13, '\u7b2c\u516b\u4e2a\u6590\u6ce2\u90a3\u5951\u6570\u5e94\u8be5\u662f 13'\n</code></pre> <p>Doctests</p> Python<pre><code>&gt;&gt;&gt; def sum_naturals(n):\n    \"\"\"\u8fd4\u56de\u524d n \u4e2a\u81ea\u7136\u6570\u7684\u548c\u3002\n\n    &gt;&gt;&gt; sum_naturals(10)\n    55\n    &gt;&gt;&gt; sum_naturals(100)\n    5050\n    \"\"\"\n    total, k = 0, 1\n    while k &lt;= n:\n        total, k = total + k, k + 1\n    return total\n</code></pre> Python<pre><code>&gt;&gt;&gt; from doctest import testmod\n&gt;&gt;&gt; testmod()\nTestResults(failed=0, attempted=2)\n</code></pre> <p>\u5355\u4e2a\u51fd\u6570\u7684\u4ea4\u4e92</p> Python<pre><code>&gt;&gt;&gt; from doctest import run_docstring_examples\n&gt;&gt;&gt; run_docstring_examples(sum_naturals, globals(), True)\nFinding tests in NoName\nTrying:\n\u00a0\u00a0\u00a0 sum_naturals(10)\nExpecting:\n\u00a0\u00a0\u00a0 55\nok\nTrying:\n\u00a0\u00a0\u00a0 sum_naturals(100)\nExpecting:\n\u00a0\u00a0\u00a0 5050\nok\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#16","title":"1.6 \u9ad8\u9636\u51fd\u6570","text":"<ul> <li>general patterns  </li> <li>named concepts  </li> <li>higher-order functions  <ul> <li>\u53ef\u4ee5\u628a\u51fd\u6570\u5f53\u4f5c\u53c2\u6570\u6216\u8005\u8fd4\u56de\u503c</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#161","title":"1.6.1 \u4f5c\u4e3a\u53c2\u6570\u7684\u51fd\u6570","text":"<ul> <li>slots  </li> <li>step through \uff08\u5355\u6b65\u8c03\u8bd5\uff09  </li> <li>\u4e00\u4e2a\u51e0\u4e4e\u6ca1\u5fc5\u8981\u770b\u7684\u4f8b\u5b50:</li> </ul> Python<pre><code>&gt;&gt;&gt; def summation(n, term):\n        total, k = 0, 1\n        while k &lt;= n:\n            total, k = total + term(k), k + 1\n        return total\n&gt;&gt;&gt; def identity(x):\n        return x\n&gt;&gt;&gt; def sum_naturals(n):\n        return summation(n, identity)\n&gt;&gt;&gt; sum_naturals(10)\n55\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#162","title":"1.6.2 \u4f5c\u4e3a\u901a\u7528\u65b9\u6cd5\u7684\u51fd\u6570","text":"<ul> <li>user-defined functions  </li> <li>general methods  </li> <li>iterative improvement  </li> <li>repetitive refinement</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#163-iii","title":"1.6.3 \u5b9a\u4e49\u51fd\u6570 III\uff1a\u5d4c\u5957\u5b9a\u4e49","text":"<p>\u4e24\u4e2a\u540e\u679c:</p> <ul> <li>\u5168\u5c40\u5e27\u53d8\u6df7\u4e71</li> <li>\u51fd\u6570\u7b7e\u540d\u9650\u5236  </li> <li>Nested function definition  </li> <li>Lexical scope  <ul> <li>\u8fd9\u79cd\u5728\u5d4c\u5957\u5b9a\u4e49\u4e4b\u95f4\u5171\u4eab\u540d\u79f0\u7684\u89c4\u5219\u79f0\u4e3a\u8bcd\u6cd5\u4f5c\u7528\u57df</li> </ul> </li> </ul> <ol> <li>\u6bcf\u4e2a\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570\u90fd\u6709\u4e00\u4e2a\u7236\u73af\u5883\uff1a\u5b9a\u4e49\u5b83\u7684\u73af\u5883\u3002</li> <li>\u8c03\u7528\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570\u65f6\uff0c\u5176\u5c40\u90e8\u5e27\u4f1a\u7ee7\u627f\u5176\u7236\u73af\u5883\u3002</li> </ol> <ul> <li>\u5173\u952e\u4f18\u52bf:<ul> <li>\u5c40\u90e8\u51fd\u6570\u7684\u540d\u79f0\u4e0d\u4f1a\u5f71\u54cd\u5b9a\u4e49\u5b83\u7684\u51fd\u6570\u7684\u5916\u90e8\u540d\u79f0\uff0c\u56e0\u4e3a\u5c40\u90e8\u51fd\u6570\u7684\u540d\u79f0\u5c06\u7ed1\u5b9a\u5728\u5b9a\u4e49\u5b83\u7684\u5f53\u524d\u5c40\u90e8\u73af\u5883\u4e2d\uff0c\u800c\u4e0d\u662f\u5168\u5c40\u73af\u5883\u4e2d\u3002</li> <li>\u5c40\u90e8\u51fd\u6570\u53ef\u4ee5\u8bbf\u95ee\u5916\u5c42\u51fd\u6570\u7684\u73af\u5883\uff0c\u8fd9\u662f\u56e0\u4e3a\u5c40\u90e8\u51fd\u6570\u7684\u51fd\u6570\u4f53\u7684\u6c42\u503c\u73af\u5883\u4f1a\u7ee7\u627f\u5b9a\u4e49\u5b83\u7684\u6c42\u503c\u73af\u5883\u3002  </li> </ul> </li> <li>Extended Environments  </li> <li>\u5c40\u90e8\u5b9a\u4e49\u7684\u51fd\u6570\u901a\u5e38\u88ab\u79f0\u4e3a\u95ed\u5305\uff08closures\uff09</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#164","title":"1.6.4 \u4f5c\u4e3a\u8fd4\u56de\u503c\u7684\u51fd\u6570","text":"<ul> <li>composition</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#165","title":"1.6.5 \u793a\u4f8b\uff1a\u725b\u987f\u6cd5","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#166-currying","title":"1.6.6 Currying","text":"<ul> <li>uncurrying transformation</li> </ul> Python<pre><code>&gt;&gt;&gt; def curry2(f):\n        \"\"\"\u8fd4\u56de\u7ed9\u5b9a\u7684\u53cc\u53c2\u6570\u51fd\u6570\u7684\u67ef\u91cc\u5316\u7248\u672c\"\"\"\n        def g(x):\n            def h(y):\n                return f(x, y)\n            return h\n        return g\n&gt;&gt;&gt; def uncurry2(g):\n        \"\"\"\u8fd4\u56de\u7ed9\u5b9a\u7684\u67ef\u91cc\u5316\u51fd\u6570\u7684\u53cc\u53c2\u6570\u7248\u672c\"\"\"\n        def f(x, y):\n            return g(x)(y)\n        return f\n&gt;&gt;&gt; pow_curried = curry2(pow)\n&gt;&gt;&gt; pow_curried(2)(5)\n32\n&gt;&gt;&gt; map_to_range(0, 10, pow_curried(2))\n1\n2\n4\n8\n16\n32\n64\n128\n256\n512\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#167-lambda","title":"1.6.7 Lambda \u8868\u8fbe\u5f0f","text":"Python<pre><code>lambda              x         :              f(g(x))\n\"A function that    takes x   and returns    f(g(x))\"\n</code></pre> <p>\\(\\displaystyle \\lambda\\)</p> Python<pre><code>&gt;&gt;&gt; s = lambda x: x * x\n&gt;&gt;&gt; s\n&lt;function &lt;lambda&gt; at 0xf3f490&gt;\n&gt;&gt;&gt; s(12)\n144\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#168","title":"1.6.8 \u62bd\u8c61\u548c\u4e00\u7b49\u51fd\u6570","text":"<ul> <li>first-class status</li> </ul> <ol> <li>\u53ef\u4ee5\u4e0e\u540d\u79f0\u7ed1\u5b9a</li> <li>\u53ef\u4ee5\u4f5c\u4e3a\u53c2\u6570\u4f20\u9012\u7ed9\u51fd\u6570</li> <li>\u53ef\u4ee5\u4f5c\u4e3a\u51fd\u6570\u7684\u7ed3\u679c\u8fd4\u56de</li> <li>\u53ef\u4ee5\u5305\u542b\u5728\u6570\u636e\u7ed3\u6784\u4e2d</li> </ol>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#169","title":"1.6.9 \u51fd\u6570\u88c5\u9970\u5668","text":"<ul> <li>decorator</li> </ul> Python<pre><code>&gt;&gt;&gt; def trace(fn):\n        def wrapped(x):\n            print('-&gt; ', fn, '(', x, ')')\n            return fn(x)\n        return wrapped\n\n&gt;&gt;&gt; @trace\n    def triple(x):\n        return 3 * x\n\n&gt;&gt;&gt; triple(12)\n-&gt;  &lt;function triple at 0x102a39848&gt; ( 12 )\n36\n</code></pre> <ul> <li>annotation  </li> <li>\u7b49\u4ef7\u4e8e:</li> </ul> Python<pre><code>&gt;&gt;&gt; def triple(x):\n        return 3 * x\n&gt;&gt;&gt; triple = trace(triple)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#17","title":"1.7 \u9012\u5f52\u51fd\u6570","text":"<ul> <li>rucursive  </li> <li>circular nature</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#171","title":"1.7.1 \u9012\u5f52\u51fd\u6570\u5256\u6790","text":"<ul> <li>base case  </li> <li>unwinds  </li> <li>recursive calls  </li> <li>induction</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#172-mutually-recursive","title":"1.7.2 mutually recursive","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#173","title":"1.7.3 \u9012\u5f52\u51fd\u6570\u4e2d\u7684\u6253\u5370","text":"<ul> <li>abstraction barrier</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#174-tree-recursive","title":"1.7.4 tree recursive","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#175","title":"1.7.5 \u793a\u4f8b\uff1a\u5206\u5272\u6570","text":"Python<pre><code>&gt;&gt;&gt; def count_partitions(n, m):\n\u00a0\u00a0\u00a0     \"\"\"\u8ba1\u7b97\u4f7f\u7528\u6700\u5927\u6570 m \u7684\u6574\u6570\u5206\u5272 n \u7684\u65b9\u5f0f\u7684\u6570\u91cf\"\"\"\n\u00a0\u00a0\u00a0     if n == 0:\n\u00a0\u00a0\u00a0         return 1\n\u00a0\u00a0\u00a0     elif n &lt; 0:\n\u00a0\u00a0\u00a0         return 0\n\u00a0\u00a0\u00a0     elif m == 0:\n\u00a0\u00a0\u00a0         return 0\n\u00a0\u00a0\u00a0     else:\n\u00a0\u00a0\u00a0         return count_partitions(n-m, m) + count_partitions(n, m-1)\n\n&gt;&gt;&gt; count_partitions(6, 4)\n9\n&gt;&gt;&gt; count_partitions(5, 5)\n7\n&gt;&gt;&gt; count_partitions(10, 10)\n42\n&gt;&gt;&gt; count_partitions(15, 15)\n176\n&gt;&gt;&gt; count_partitions(20, 20)\n627\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#2","title":"2 \u4f7f\u7528\u6570\u636e\u6784\u5efa\u62bd\u8c61","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#21","title":"2.1 \u5f15\u8a00","text":"<ul> <li>\u9ad8\u9636\u51fd\u6570\u4f7f\u6211\u4eec\u80fd\u591f\u6839\u636e\u901a\u7528\u7684\u8ba1\u7b97\u65b9\u6cd5\u8fdb\u884c\u64cd\u4f5c\u548c\u63a8\u7406\uff0c\u4ece\u800c\u589e\u5f3a\u4e86\u8bed\u8a00\u7684\u529f\u80fd\u3002\u8fd9\u5c31\u662f\u7f16\u7a0b\u7684\u672c\u8d28</li> <li>\u6709\u6548\u4f7f\u7528\u5185\u7f6e\u6570\u636e\u7c7b\u578b\u548c\u7528\u6237\u5b9a\u4e49\u7684\u6570\u636e\u7c7b\u578b\u662f\u6570\u636e\u5904\u7406\u578b\u5e94\u7528\uff08data processing applications\uff09\u7684\u57fa\u7840</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#211","title":"2.1.1 \u539f\u59cb\u6570\u636e\u7c7b\u578b","text":"<p>\u539f\u59cb\u6570\u636e\u7c7b\u578b\u5177\u6709\u5c5e\u6027:</p> <ol> <li>\u6709\u4e00\u4e9b\u53ef\u4ee5\u6c42\u89e3\u4e3a\u539f\u59cb\u6570\u636e\u7c7b\u578b\u7684\u8868\u8fbe\u5f0f\uff0c\u88ab\u79f0\u4e3a\u5b57\u9762\u91cf\uff08literals\uff09\u3002</li> <li>\u6709\u7528\u4e8e\u64cd\u4f5c\u539f\u59cb\u7c7b\u578b\u503c\u7684\u5185\u7f6e\u51fd\u6570\u548c\u64cd\u4f5c\u7b26\u3002 - \u539f\u59cb\u6570\u5b57\u7c7b\u578b<ul> <li>int</li> <li>float</li> <li>complex</li> <li>Non-numeric types</li> <li>bool</li> <li>more on \u539f\u59cb\u6570\u636e\u7c7b\u578b</li> </ul> </li> </ol>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#22","title":"2.2 \u6570\u636e\u62bd\u8c61","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#221","title":"2.2.1 \u793a\u4f8b\uff1a\u6709\u7406\u6570","text":"<p>wishful thinking</p> Python<pre><code>&gt;&gt;&gt; def add_rationals(x, y):\n        nx, dx = numer(x), denom(x)\n        ny, dy = numer(y), denom(y)\n        return rational(nx * dy + ny * dx, dx * dy)\n\n&gt;&gt;&gt; def mul_rationals(x, y):\n        return rational(numer(x) * numer(y), denom(x) * denom(y))\n\n&gt;&gt;&gt; def print_rational(x):\n        print(numer(x), '/', denom(x))\n\n&gt;&gt;&gt; def rationals_are_equal(x, y):\n        return numer(x) * denom(y) == numer(y) * denom(x)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#222-pair","title":"2.2.2 pair","text":"<p>from operator import getitem</p> Python<pre><code>&gt;&gt;&gt; def rational(n, d):\n        return [n, d]\n\n&gt;&gt;&gt; def numer(x):\n        return x[0]\n\n&gt;&gt;&gt; def denom(x):\n        return x[1]\n</code></pre> <p>\u7b80\u5316\u6709\u7406\u6570:</p> Python<pre><code>&gt;&gt;&gt; from fractions import gcd\n&gt;&gt;&gt; def rational(n, d):\n        g = gcd(n, d)\n        return (n//g, d//g)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#223","title":"2.2.3 \u62bd\u8c61\u5c4f\u969c","text":"<ul> <li>\u6570\u636e\u62bd\u8c61: \u7528\u4e00\u7ec4\u57fa\u672c\u64cd\u4f5c\u6765\u64cd\u4f5c\u6570\u636e\u3002  </li> <li>avbstraction barrier  </li> <li>the best:</li> </ul> Python<pre><code>&gt;&gt;&gt; def square_rational(x):\n    return mul_rational(x, x)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#224","title":"2.2.4 \u6570\u636e\u7684\u5c5e\u6027","text":"<p>\u76f8\u5f53\u4e8e\u81ea\u5df1\u5199\u4e00\u4e2a\u6570\u636e\u7ed3\u6784:</p> Python<pre><code>&gt;&gt;&gt; def pair(x, y):\n        \"\"\"Return a function that represents a pair.\"\"\"\n        def get(index):\n            if index == 0:\n                return x\n            elif index == 1:\n                return y\n        return get\n\n&gt;&gt;&gt; def select(p, i):\n        \"\"\"Return the element at index i of pair p.\"\"\"\n        return p(i)\n\n&gt;&gt;&gt; p = pair(20, 14)\n&gt;&gt;&gt; select(p, 0)\n20\n&gt;&gt;&gt; select(p, 1)\n14\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#23","title":"2.3 \u5e8f\u5217","text":"<ul> <li>sequence<ul> <li>Length</li> <li>Element selection</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#231-list","title":"2.3.1 list","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#232","title":"2.3.2 \u5e8f\u5217\u904d\u5386","text":"Python<pre><code>for &lt;name&gt; in &lt;expression&gt;:\n    &lt;suite&gt;\n</code></pre> <p>the expression must produce an iterable object sequence unpacking</p> Python<pre><code>&gt;&gt;&gt; pairs = [[1, 2], [2, 2], [2, 3], [4, 4]]\n&gt;&gt;&gt; same_count = 0\n&gt;&gt;&gt; for x, y in pairs:\n        if x == y:\n            same_count = same_count + 1\n&gt;&gt;&gt; same_count\n2\n</code></pre> <p>range</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#233","title":"2.3.3 \u5e8f\u5217\u5904\u7406","text":"<p>list comprehensions</p> Python<pre><code>&gt;&gt;&gt; odds = [1, 3, 5, 7, 9]\n&gt;&gt;&gt; [x+1 for x in odds]\n[2, 4, 6, 8, 10]\n[&lt;map expression&gt; for &lt;name&gt; in &lt;sequence expression&gt; if &lt;filter expression&gt;]\n</code></pre> <ul> <li>Aggregation \u5c31\u662f\u7f29\u5e76\u5566<ul> <li>sum</li> <li>min</li> <li>max</li> </ul> </li> </ul> Python<pre><code>&gt;&gt;&gt; def apply_to_all(map_fn, s):\n    return [map_fn(x) for x in s]\n&gt;&gt;&gt; def keep_if(filter_fn, s):\n    return [x for x in s if filter_fn(x)]\n# conventional names\n&gt;&gt;&gt; apply_to_all = lambda map_fn, s: list(map(map_fn, s))\n&gt;&gt;&gt; keep_if = lambda filter_fn, s: list(filter(filter_fn, s))\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#234","title":"2.3.4 \u5e8f\u5217\u62bd\u8c61","text":"<ul> <li>Membership<ul> <li>in</li> <li>not in</li> </ul> </li> <li>Slicing</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#235","title":"2.3.5 \u5b57\u7b26\u4e32","text":"<p>string \u6ca1\u6709\u5b57\u7b26\u7c7b\u578b</p> <ul> <li>Membership</li> <li>Multiline Literals</li> <li>String Coercion more on Dive Into Python 3\u00a0\u7684\u00a0\u5b57\u7b26\u4e32\u7ae0\u8282\u00a0\u63d0\u4f9b\u4e86\u5b57\u7b26\u7f16\u7801\u548c Unicode \u7684\u63cf\u8ff0</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#236","title":"2.3.6 \u6811","text":"<p>closure property bax-and-pointer notation</p> <ul> <li>root label</li> <li>branch</li> <li>leaf: the tree without branch</li> <li>node tree-recursive \u4e24\u4e2a\u4f8b\u5b50:</li> </ul> Python<pre><code>&gt;&gt;&gt; def fib_tree(n):\n        if n == 0 or n == 1:\n            return tree(n)\n        else:\n            left, right = fib_tree(n-2), fib_tree(n-1)\n            fib_n = label(left) + label(right)\n            return tree(fib_n, [left, right])\n&gt;&gt;&gt; fib_tree(5)\n[5, [2, [1], [1, [0], [1]]], [3, [1, [0], [1]], [2, [1], [1, [0], [1]]]]]\n</code></pre> Python<pre><code>&gt;&gt;&gt; def count_leaves(tree):\n      if is_leaf(tree):\n          return 1\n      else:\n          branch_counts = [count_leaves(b) for b in branches(tree)]\n          return sum(branch_counts)\n&gt;&gt;&gt; count_leaves(fib_tree(5))\n8\n</code></pre> <p>Partition trees</p> Python<pre><code>&gt;&gt;&gt; def print_parts(tree, partition=[]):\n        if is_leaf(tree):\n            if label(tree):\n                print(' + '.join(partition))\n        else:\n            left, right = branches(tree)\n            m = str(label(tree))\n            print_parts(left, partition + [m])\n            print_parts(right, partition)\n\n&gt;&gt;&gt; print_parts(partition_tree(6, 4))\n4 + 2\n4 + 1 + 1\n3 + 3\n3 + 2 + 1\n3 + 1 + 1 + 1\n2 + 2 + 2\n2 + 2 + 1 + 1\n2 + 1 + 1 + 1 + 1\n1 + 1 + 1 + 1 + 1 + 1\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#237","title":"2.3.7 \u94fe\u8868","text":"<p>linked list abstract data representation</p> Python<pre><code>&gt;&gt;&gt; def partitions(n, m):\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u5305\u542b n \u7684\u5206\u5272\u65b9\u6848\u7684\u94fe\u8868\uff0c\u5176\u4e2d\u6bcf\u4e2a\u6b63\u6574\u6570\u4e0d\u8d85\u8fc7 m\"\"\"\nif n == 0:\n    return link(empty, empty) # \u5305\u542b\u7a7a\u5206\u5272\u7684\u94fe\u8868\nelif n &lt; 0 or m == 0:\n    return empty\nelse:\n    using_m = partitions(n-m, m)\n    with_m = apply_to_all_link(lambda s: link(m, s), using_m)\n    without_m = partitions(n, m-1)\n    return extend_link(with_m, without_m)\n\n&gt;&gt;&gt; def print_partitions(n, m):\n        lists = partitions(n, m)\n        strings = apply_to_all_link(lambda s: join_link(s, \" + \"), lists)\n        print(join_link(strings, \"\\n\"))\n\n&gt;&gt;&gt; print_partitions(6, 4)\n4 + 2\n4 + 1 + 1\n3 + 3\n3 + 2 + 1\n3 + 1 + 1 + 1\n2 + 2 + 2\n2 + 2 + 1 + 1\n2 + 1 + 1 + 1 + 1\n1 + 1 + 1 + 1 + 1 + 1\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#24","title":"2.4 \u53ef\u53d8\u6570\u636e","text":"<p>object-oriented programming</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#241","title":"2.4.1 \u5bf9\u8c61\u9690\u55bb","text":"<ul> <li>attributes</li> <li>method</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#242","title":"2.4.2 \u5e8f\u5217\u5bf9\u8c61","text":"<p>mutable Sharing and Identity \u5217\u8868\u63a8\u5bfc\u5f0f:</p> Python<pre><code>&gt;&gt;&gt; from unicodedata import lookup\n&gt;&gt;&gt; [lookup('WHITE ' + s.upper() + ' SUIT') for s in suits]\n['\u2661', '\u2662', '\u2664', '\u2667']\n</code></pre> <p>tuple</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#243","title":"2.4.3 \u5b57\u5178","text":"<p>key-value pairs</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#244","title":"2.4.4 \u5c40\u90e8\u72b6\u6001","text":"<p>local state</p> Python<pre><code>&gt;&gt;&gt; def make_withdraw(balance):\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u6bcf\u6b21\u8c03\u7528\u90fd\u4f1a\u51cf\u5c11 balance \u7684 withdraw \u51fd\u6570\"\"\"\ndef withdraw(amount):\n    nonlocal balance                 # \u58f0\u660e balance \u662f\u975e\u5c40\u90e8\u7684\n    if amount &gt; balance:\n        return '\u4f59\u989d\u4e0d\u8db3'\n    balance = balance - amount       # \u91cd\u65b0\u7ed1\u5b9a\n    return balance\nreturn withdraw\n</code></pre> <p>Python Particulars</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#245-non-local","title":"2.4.5 \u975e\u5c40\u90e8 Non-local \u8d4b\u503c\u7684\u597d\u5904","text":"<p>\u8fd9\u6837\uff0c\u6bcf\u4e2a withdraw \u5b9e\u4f8b\u90fd\u4fdd\u6301\u81ea\u5df1\u7684 balance \u72b6\u6001\uff0c\u4f46\u7a0b\u5e8f\u4e2d\u7684\u4efb\u4f55\u5176\u4ed6\u51fd\u6570\u90fd\u65e0\u6cd5\u8bbf\u95ee\u8be5\u72b6\u6001\u3002\u4ece\u66f4\u9ad8\u7684\u5c42\u9762\u6765\u770b\u8fd9\u79cd\u60c5\u51b5\uff0c\u6211\u4eec\u62bd\u8c61\u4e86\u4e00\u4e2a\u94f6\u884c\u8d26\u6237\uff0c\u5b83\u81ea\u5df1\u7ba1\u7406\u81ea\u5df1\u7684\u72b6\u6001\uff0c\u5176\u884c\u4e3a\u65b9\u5f0f\u4e0e\u4e16\u754c\u4e0a\u6240\u6709\u5176\u5b83\u8d26\u6237\u4e00\u6837\uff1a\u968f\u7740\u65f6\u95f4\u63a8\u79fb\uff0c\u8d26\u6237\u7684\u72b6\u6001\u4f1a\u6839\u636e\u8d26\u6237\u7684\u53d6\u6b3e\u8bb0\u5f55\u800c\u53d1\u751f\u53d8\u5316\u3002</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#246-non-local","title":"2.4.6 \u975e\u5c40\u90e8 Non-local \u8d4b\u503c\u7684\u4ee3\u4ef7","text":"<ul> <li>\u6b63\u786e\u7406\u89e3\u5305\u542b nonlocal \u58f0\u660e\u7684\u4ee3\u7801\u7684\u5173\u952e\u662f\u8bb0\u4f4f\uff1a\u53ea\u6709\u51fd\u6570\u8c03\u7528\u624d\u80fd\u5f15\u5165\u65b0\u5e27\u3002\u8d4b\u503c\u8bed\u53e5\u53ea\u80fd\u66f4\u6539\u73b0\u6709\u5e27\u4e2d\u7684\u7ed1\u5b9a\u5173\u7cfb\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u9664\u975e make_withdraw \u88ab\u8c03\u7528\u4e24\u6b21\uff0c\u5426\u5219\u53ea\u80fd\u6709\u4e00\u4e2a balance \u7ed1\u5b9a\u3002  </li> <li>Sameness and change  </li> <li>referentially transparent</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#247","title":"2.4.7 \u5217\u8868\u548c\u5b57\u5178\u5b9e\u73b0","text":"<p>\u51fd\u6570\u662f\u4e00\u4e2a dispatch \uff08\u8c03\u5ea6\uff09\u51fd\u6570\uff0c\u5176\u53c2\u6570\u9996\u5148\u662f\u4e00\u4e2a\u671f\u671b\u7684\u6307\u4ee4\uff0c\u4ee3\u8868\u671f\u671b\u8fd9\u4e2a\u51fd\u6570\u505a\u4ec0\u4e48\uff1b\u7136\u540e\u662f\u8be5\u65b9\u6cd5\u7684\u9700\u8981\u7528\u5230\u7684\u53c2\u6570\u3002\u6b64\u6307\u4ee4\u662f\u4e00\u4e2a\u5b57\u7b26\u4e32\uff0c\u7528\u4e8e\u547d\u540d\u51fd\u6570\u5e94\u6267\u884c\u7684\u64cd\u4f5c\u3002\u53ef\u4ee5\u5c06\u8fd9\u4e2a dispatch \u51fd\u6570\u7406\u89e3\u4e3a\u591a\u4e2a\u4e0d\u540c\u51fd\u6570\u7684\u62bd\u8c61\uff1a\u7b2c\u4e00\u4e2a\u53c2\u6570\u786e\u5b9a\u76ee\u6807\u51fd\u6570\u7684\u884c\u4e3a\uff0c\u5e76\u4e3a\u8be5\u884c\u4e3a\u5165\u53c2\u5176\u4ed6\u53c2\u6570\u3002     \u7528\u5b57\u7b26\u4e32\u4e5f\u592a\u9006\u5929\u4e86\u3002</p> Python<pre><code>&gt;&gt;&gt; def mutable_link():\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u53ef\u53d8\u94fe\u8868\u7684\u51fd\u6570\"\"\"\ncontents = empty\ndef dispatch(message, value=None):\n    nonlocal contents\n    if message == 'len':\n        return len_link(contents)\n    elif message == 'getitem':\n        return getitem_link(contents, value)\n    elif message == 'push_first':\n        contents = link(value, contents)\n    elif message == 'pop_first':\n        f = first(contents)\n        contents = rest(contents)\n        return f\n    elif message == 'str':\n        return join_link(contents, \", \")\nreturn dispatch\n\n&gt;&gt;&gt; def to_mutable_link(source):\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u4e0e\u539f\u5217\u8868\u76f8\u540c\u5185\u5bb9\u7684\u51fd\u6570\u5217\u8868\"\"\"\ns = mutable_link()\nfor element in reversed(source):\n    s('push_first', element)\nreturn s\n\n&gt;&gt;&gt; s = to_mutable_link(suits)\n&gt;&gt;&gt; type(s)\n&lt;class 'function'&gt;\n&gt;&gt;&gt; print(s('str'))\nheart, diamond, spade, club\n</code></pre> <p>\u5b57\u5178\u5b9e\u73b0:</p> Python<pre><code>&gt;&gt;&gt; def dictionary():\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u5b57\u5178\u7684\u51fd\u6570\u5b9e\u73b0\"\"\"\nrecords = []\ndef getitem(key):\n    matches = [r for r in records if r[0] == key]\n    if len(matches) == 1:\n        key, value = matches[0]\n        return value\ndef setitem(key, value):\n    nonlocal records\n    non_matches = [r for r in records if r[0] != key]\n    records = non_matches + [[key, value]]\ndef dispatch(message, key=None, value=None):\n    if message == 'getitem':\n        return getitem(key)\n    elif message == 'setitem':\n        setitem(key, value)\nreturn dispatch\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#248-dispatch-dictionaries","title":"2.4.8 \u8c03\u5ea6\u5b57\u5178\uff08Dispatch Dictionaries\uff09","text":"<p>\u7528\u5b57\u5178\u5b58\u50a8\u6d88\u606f\u3002</p> Python<pre><code>def account(initial_balance):\n    def deposit(amount):\n        dispatch['balance'] += amount\n        return dispatch['balance']\n    def withdraw(amount):\n        if amount &gt; dispatch['balance']:\n            return 'Insufficient funds'\n        dispatch['balance'] -= amount\n        return dispatch['balance']\n    dispatch = {'deposit':   deposit,\n                'withdraw':  withdraw,\n                'balance':   initial_balance}\n    return dispatch\n\ndef withdraw(account, amount):\n    return account['withdraw'](amount)\ndef deposit(account, amount):\n    return account['deposit'](amount)\ndef check_balance(account):\n    return account['balance']\n\na = account(20)\ndeposit(a, 5)\nwithdraw(a, 17)\ncheck_balance(a)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#249-propagating-constraints","title":"2.4.9 \u7ea6\u675f\u4f20\u9012 (Propagating\u00a0Constraints)","text":"<p>connector Using the Constraint System</p> Python<pre><code>&gt;&gt;&gt; celsius = connector('Celsius')\n&gt;&gt;&gt; fahrenheit = connector('Fahrenheit')\n&gt;&gt;&gt; def converter(c, f):\n    \"\"\"\u7528\u7ea6\u675f\u6761\u4ef6\u8fde\u63a5 c \u5230 f\uff0c\u5c06\u6444\u6c0f\u5ea6\u8f6c\u6362\u4e3a\u534e\u6c0f\u5ea6.\"\"\"\n    u, v, w, x, y = [connector() for _ in range(5)]\n    multiplier(c, w, u)\n    multiplier(v, x, u)\n    adder(v, y, f)\n    constant(w, 9)\n    constant(x, 5)\n    constant(y, 32)\n&gt;&gt;&gt; converter(celsius, fahrenheit)\n\n&gt;&gt;&gt; celsius['set_val']('user', 25)\nCelsius = 25\nFahrenheit = 77.0\n\n&gt;&gt;&gt; fahrenheit['set_val']('user', 212)\nContradiction detected: 77.0 vs 212\n\n&gt;&gt;&gt; celsius['forget']('user')\nCelsius is forgotten\nFahrenheit is forgotten\n\n&gt;&gt;&gt; fahrenheit['set_val']('user', 212)\nFahrenheit = 212\nCelsius = 100.0\n\n# Implementing the Constraint System\n&gt;&gt;&gt; connector ['set_val'](source, value)  \"\"\"\u8868\u793a\u00a0source\u00a0\u5728\u8bf7\u6c42\u8fde\u63a5\u5668\u5c06\u5f53\u524d\u503c\u8bbe\u4e3a value\"\"\"\n&gt;&gt;&gt; connector ['has_val']()\u00a0 \"\"\"\u8fd4\u56de\u8fde\u63a5\u5668\u662f\u5426\u5df2\u7ecf\u5177\u6709\u503c\"\"\"\n&gt;&gt;&gt; connector ['val']  \"\"\"\u662f\u8fde\u63a5\u5668\u7684\u5f53\u524d\u503c\"\"\"\n&gt;&gt;&gt; connector ['forget'](source)\u00a0 \"\"\"\u544a\u8bc9\u8fde\u63a5\u5668 source \u8bf7\u6c42\u9057\u5fd8\u5b83\u7684\u503c\"\"\"\n&gt;&gt;&gt; connector ['connect'](source)\u00a0 \"\"\"\u544a\u8bc9\u8fde\u63a5\u5668\u53c2\u4e0e\u65b0\u7684\u7ea6\u675f\uff0c\u5373 source\"\"\"\n&gt;&gt;&gt; constraint['new_val']()  \"\"\"\u8868\u793a\u4e0e\u7ea6\u675f\u76f8\u8fde\u7684\u67d0\u4e2a\u8fde\u63a5\u5668\u5177\u6709\u65b0\u7684\u503c\u3002\"\"\"\n&gt;&gt;&gt; constraint['forget']()\u00a0 \"\"\"\u8868\u793a\u4e0e\u7ea6\u675f\u76f8\u8fde\u7684\u67d0\u4e2a\u8fde\u63a5\u5668\u9057\u5fd8\u4e86\u503c\u3002\"\"\"\n\n&gt;&gt;&gt; from operator import add, sub\n&gt;&gt;&gt; def adder(a, b, c):\n        \"\"\"\u7ea6\u675f a+b=c\"\"\"\n        return make_ternary_constraint(a, b, c, add, sub, sub)\n\n&gt;&gt;&gt; def make_ternary_constraint(a, b, c, ab, ca, cb):\n    \"\"\"\u7ea6\u675f ab(a,b)=c\uff0cca(c,a)=b\uff0ccb(c,b)=a\"\"\"\n    def new_value():\n        av, bv, cv = [connector['has_val']() for connector in (a, b, c)]\n        if av and bv:\n            c['set_val'](constraint, ab(a['val'], b['val']))\n        elif av and cv:\n            b['set_val'](constraint, ca(c['val'], a['val']))\n        elif bv and cv:\n            a['set_val'](constraint, cb(c['val'], b['val']))\n    def forget_value():\n        for connector in (a, b, c):\n            connector['forget'](constraint)\n    constraint = {'new_val': new_value, 'forget': forget_value}\n    for connector in (a, b, c):\n        connector['connect'](constraint)\n    return constraint\n\n&gt;&gt;&gt; from operator import mul, truediv\n&gt;&gt;&gt; def multiplier(a, b, c):\n        \"\"\"\u7ea6\u675f a*b=c\"\"\"\n        return make_ternary_constraint(a, b, c, mul, truediv, truediv)\n\n&gt;&gt;&gt; def constant(connector, value):\n    \"\"\"\u5e38\u91cf\u8d4b\u503c\"\"\"\n    constraint = {}\n    connector['set_val'](constraint, value)\n    return constraint\n\n# Representing connectors\n&gt;&gt;&gt; def connector(name=None):\n    \"\"\"\u9650\u5236\u6761\u4ef6\u4e4b\u95f4\u7684\u8fde\u63a5\u5668\"\"\"\n    informant = None\n    constraints = []\n    def set_value(source, value):\n        nonlocal informant\n        val = connector['val']\n        if val is None:\n            informant, connector['val'] = source, value\n            if name is not None:\n                print(name, '=', value)\n            inform_all_except(source, 'new_val', constraints)\n        else:\n            if val != value:\n                print('Contradiction detected:', val, 'vs', value)\n    def forget_value(source):\n        nonlocal informant\n        if informant == source:\n            informant, connector['val'] = None, None\n            if name is not None:\n                print(name, 'is forgotten')\n            inform_all_except(source, 'forget', constraints)\n    connector = {'val': None,\n                 'set_val': set_value,\n                 'forget': forget_value,\n                 'has_val': lambda: connector['val'] is not None,\n                 'connect': lambda source: constraints.append(source)}\n    return connector\n\n&gt;&gt;&gt; def inform_all_except(source, message, constraints):\n    \"\"\"\u544a\u77e5\u4fe1\u606f\u9664\u4e86 source \u5916\u7684\u6240\u6709\u7ea6\u675f\u6761\u4ef6\"\"\"\n    for c in constraints:\n        if c != source:\n            c[message]()\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#25","title":"2.5 \u9762\u5411\u5bf9\u8c61\u7f16\u7a0b","text":"<ul> <li>object</li> <li>dot notation</li> <li>class</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#251","title":"2.5.1 \u5bf9\u8c61\u548c\u7c7b","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#252","title":"2.5.2 \u7c7b\u7684\u5b9a\u4e49","text":"<p>__init__\u7c7b\u7684\u6784\u9020\u51fd\u6570\uff08constructor\uff09</p> Python<pre><code>&gt;&gt;&gt; class Account:\n        def __init__(self, account_holder):\n            self.balance = 0\n            self.holder = account_holder\n        def deposit(self, amount):\n            self.balance = self.balance + amount\n            return self.balance\n        def withdraw(self, amount):\n            if amount &gt; self.balance:\n                return 'Insufficient funds'\n            self.balance = self.balance - amount\n            return self.balance\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#253","title":"2.5.3 \u6d88\u606f\u4f20\u9012\u548c\u70b9\u8868\u8fbe\u5f0f","text":"Python<pre><code>&gt;&gt;&gt; getattr(spock_account, 'balance')\n10\n&gt;&gt;&gt; hasattr(spock_account, 'deposit')\nTrue\n\n\n&gt;&gt;&gt; type(Account.deposit)\n&lt;class 'Function'&gt;\n&gt;&gt;&gt; type(spock_account.deposit)\n&lt;class 'method'&gt;\n# \u4e3a\u7c7b\u7684\u5c5e\u6027\uff0c\u65b9\u6cd5\u53ea\u662f\u4e00\u4e2a\u51fd\u6570\uff0c\u4f46\u4f5c\u4e3a\u5b9e\u4f8b\u7684\u5c5e\u6027\uff0c\u5b83\u662f\u4e00\u4e2a\u7ed1\u5b9a\u65b9\u6cd5\n\n&gt;&gt;&gt; Account.deposit(spock_account, 1001)    # \u51fd\u6570 deposit \u63a5\u53d7\u4e24\u4e2a\u53c2\u6570\n1011\n&gt;&gt;&gt; spock_account.deposit(1000)             # \u65b9\u6cd5 deposit \u63a5\u53d7\u4e00\u4e2a\u53c2\u6570\n2011\n</code></pre> <p>\u547d\u540d\u7ea6\u5b9a\uff1a\u7c7b\u540d\u901a\u5e38\u4f7f\u7528 CapWords \u7ea6\u5b9a\uff08\u4e5f\u79f0\u4e3a CamelCase\uff0c\u56e0\u4e3a\u540d\u79f0\u4e2d\u95f4\u7684\u5927\u5199\u5b57\u6bcd\u770b\u8d77\u6765\u50cf\u9a7c\u5cf0\uff09\u7f16\u5199\u3002\u65b9\u6cd5\u540d\u79f0\u9075\u5faa\u4f7f\u7528\u4e0b\u5212\u7ebf\u5206\u9694\u7684\u5c0f\u5199\u5355\u8bcd\u547d\u540d\u51fd\u6570\u7684\u6807\u51c6\u7ea6\u5b9a\u3002</p> <p>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6709\u4e00\u4e9b\u5b9e\u4f8b\u53d8\u91cf\u548c\u65b9\u6cd5\u4e0e\u5bf9\u8c61\u7684\u7ef4\u62a4\u548c\u4e00\u81f4\u6027\u76f8\u5173\uff0c\u6211\u4eec\u4e0d\u5e0c\u671b\u5bf9\u8c61\u7684\u7528\u6237\u770b\u5230\u6216\u4f7f\u7528\u3002\u5b83\u4eec\u4e0d\u662f\u7c7b\u5b9a\u4e49\u7684\u62bd\u8c61\u7684\u4e00\u90e8\u5206\uff0c\u800c\u662f\u5b9e\u73b0\u7684\u4e00\u90e8\u5206\u3002Python \u7684\u7ea6\u5b9a\u89c4\u5b9a\uff0c\u5982\u679c\u5c5e\u6027\u540d\u79f0\u4ee5\u4e0b\u5212\u7ebf\u5f00\u5934\uff0c\u5219\u53ea\u80fd\u5728\u7c7b\u672c\u8eab\u7684\u65b9\u6cd5\u4e2d\u8bbf\u95ee\u5b83\uff0c\u800c\u4e0d\u662f\u7528\u6237\u8bbf\u95ee\u3002</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#254","title":"2.5.4 \u7c7b\u5c5e\u6027","text":"<p>\u611f\u89c9\u6ca1\u4ec0\u4e48\u7528:</p> Python<pre><code>&gt;&gt;&gt; Account.interest = 0.05     # \u6539\u53d8\u7c7b\u5c5e\u6027\n&gt;&gt;&gt; spock_account.interest      # \u5b9e\u4f8b\u5c5e\u6027\u53d1\u751f\u53d8\u5316\uff08\u8be5\u5b9e\u4f8b\u4e2d\u6ca1\u6709\u548c\u7c7b\u5c5e\u6027\u540c\u540d\u79f0\u7684\u5b9e\u4f8b\u5c5e\u6027\uff09\n0.05\n&gt;&gt;&gt; kirk_account.interest       # \u5982\u679c\u5b9e\u4f8b\u4e2d\u5b58\u5728\u548c\u7c7b\u5c5e\u6027\u540c\u540d\u7684\u5b9e\u4f8b\u5c5e\u6027\uff0c\u5219\u6539\u53d8\u7c7b\u5c5e\u6027\uff0c\u4e0d\u4f1a\u5f71\u54cd\u5b9e\u4f8b\u5c5e\u6027\n0.08\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#255","title":"2.5.5 \u7ee7\u627f","text":"<ul> <li>base class<ul> <li>parent class</li> <li>super class</li> </ul> </li> <li>subcladd<ul> <li>child class</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#256","title":"2.5.6 \u4f7f\u7528\u7ee7\u627f","text":"Python<pre><code>&gt;&gt;&gt; class Account:\n        \"\"\"\u4e00\u4e2a\u4f59\u989d\u975e\u96f6\u7684\u8d26\u6237\u3002\"\"\"\n        interest = 0.02\n        def __init__(self, account_holder):\n            self.balance = 0\n            self.holder = account_holder\n        def deposit(self, amount):\n            \"\"\"\u5b58\u5165\u8d26\u6237 amount\uff0c\u5e76\u8fd4\u56de\u53d8\u5316\u540e\u7684\u4f59\u989d\"\"\"\n            self.balance = self.balance + amount\n            return self.balance\n        def withdraw(self, amount):\n            \"\"\"\u4ece\u8d26\u53f7\u4e2d\u53d6\u51fa amount\uff0c\u5e76\u8fd4\u56de\u53d8\u5316\u540e\u7684\u4f59\u989d\"\"\"\n            if amount &gt; self.balance:\n                return 'Insufficient funds'\n            self.balance = self.balance - amount\n            return self.balance\n\n&gt;&gt;&gt; class CheckingAccount(Account):\n        \"\"\"\u4ece\u8d26\u53f7\u53d6\u94b1\u4f1a\u6263\u51fa\u624b\u7eed\u8d39\u7684\u8d26\u53f7\"\"\"\n           withdraw_charge = 1\n           interest = 0.01\n           def withdraw(self, amount):\n                 return Account.withdraw(self, amount + self.withdraw_charge)\n</code></pre> <p>\u63a5\u53e3</p> Python<pre><code>&gt;&gt;&gt; def deposit_all(winners, amount=5):\n        for account in winners:\n            account.deposit(amount)         # \u8fd9\u91cc\u8c03\u7528\u7684\u662f\u5b9e\u4f8b account \u7684 deposit \u65b9\u6cd5\n            # \u5bf9\u4e8e\u4e0d\u540c\u5b9e\u4f8b\u6765\u8bf4\uff0c\u5b83\u4eec\u7684 deposit \u65b9\u6cd5\u53ef\u80fd\u4e0d\u540c\u3002\u8fd9\u4e2a\u4f8b\u5b50\u76f8\u5bf9\u4e8e\u4e0b\u9762\u6765\u8bb2\uff0c\u66f4\u52a0\u5177\u6709\u5065\u58ee\u6027\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#257","title":"2.5.7 \u591a\u7ee7\u627f","text":"<p>\u7ee7\u627f\u6392\u5e8f\u95ee\u9898\u6ca1\u6709\u6b63\u786e\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u56e0\u4e3a\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u80fd\u66f4\u613f\u610f\u5c06\u67d0\u4e9b\u7ee7\u627f\u7c7b\u7f6e\u4e8e\u5176\u4ed6\u7c7b\u4e4b\u4e0a\u3002\u4f46\u662f\uff0c\u4efb\u4f55\u652f\u6301\u591a\u91cd\u7ee7\u627f\u7684\u7f16\u7a0b\u8bed\u8a00\u90fd\u5fc5\u987b\u4ee5\u4e00\u81f4\u7684\u65b9\u5f0f\u9009\u62e9\u67d0\u4e9b\u6392\u5e8f\uff0c\u4ee5\u4fbf\u8be5\u8bed\u8a00\u7684\u7528\u6237\u53ef\u4ee5\u9884\u6d4b\u5176\u7a0b\u5e8f\u7684\u884c\u4e3a\u3002</p> <p>\u8fdb\u4e00\u6b65\u9605\u8bfb\u3002Python \u4f7f\u7528\u79f0\u4e3a C3 \u65b9\u6cd5\u89e3\u6790\u6392\u5e8f\u7684\u9012\u5f52\u7b97\u6cd5\u89e3\u6790\u6b64\u540d\u79f0\u3002\u53ef\u4ee5\u5728\u6240\u6709\u7c7b\u4e0a\u4f7f\u7528\u00a0<code>mro</code>\u00a0\u65b9\u6cd5\u67e5\u8be2\u4efb\u4f55\u7c7b\u7684\u65b9\u6cd5\u89e3\u6790\u987a\u5e8f\u3002</p> Python<pre><code>&gt;&gt;&gt; [c.__name__ for c in AsSeenOnTVAccount.mro()]\n['AsSeenOnTVAccount', 'CheckingAccount', 'SavingsAccount', 'Account', 'object']\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#258","title":"2.5.8 \u5bf9\u8c61\u7684\u4f5c\u7528","text":"<p>\u53e6\u4e00\u65b9\u9762\uff0c\u7c7b\u53ef\u80fd\u4e0d\u662f\u5b9e\u73b0\u67d0\u4e9b\u62bd\u8c61\u7684\u6700\u4f73\u673a\u5236\u3002\u51fd\u6570\u5f0f\u62bd\u8c61\u63d0\u4f9b\u4e86\u4e00\u4e2a\u66f4\u81ea\u7136\u7684\u9690\u55bb\u6765\u8868\u793a\u8f93\u5165\u548c\u8f93\u51fa\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u6211\u4eec\u4e0d\u5e94\u8be5\u89c9\u5f97\u5fc5\u987b\u5c06\u7a0b\u5e8f\u4e2d\u7684\u6bcf\u4e00\u70b9\u903b\u8f91\u90fd\u585e\u8fdb\u4e00\u4e2a\u7c7b\u4e2d\uff0c\u5c24\u5176\u662f\u5728\u5b9a\u4e49\u72ec\u7acb\u51fd\u6570\u6765\u64cd\u4f5c\u6570\u636e\u66f4\u81ea\u7136\u7684\u60c5\u51b5\u4e0b\u3002\u51fd\u6570\u8fd8\u53ef\u4ee5\u5f3a\u5236\u5b9e\u73b0\u5173\u6ce8\u70b9\u7684\u5206\u79bb\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u51fd\u6570\u5f0f\u7f16\u7a0b\u63d0\u4f9b\u4e86\u53e6\u4e00\u79cd\u6709\u6548\u5730\u7ec4\u7ec7\u7a0b\u5e8f\u903b\u8f91\u7684\u65b9\u6cd5\uff0c\u4f7f\u5f97\u7a0b\u5e8f\u5458\u80fd\u591f\u66f4\u597d\u5730\u5904\u7406\u548c\u7ef4\u62a4\u7a0b\u5e8f\u3002\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u4f7f\u7528\u51fd\u6570\u5f0f\u7f16\u7a0b\u65b9\u6cd5\u53ef\u80fd\u6bd4\u4f7f\u7528\u9762\u5411\u5bf9\u8c61\u7f16\u7a0b\u66f4\u81ea\u7136\u548c\u6709\u6548\u3002</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#26","title":"2.6 \u5b9e\u73b0\u7c7b\u548c\u5bf9\u8c61","text":"<p>object-oriented programming paradigm \u5373\u4f7f\u5728\u6ca1\u6709\u5185\u7f6e\u5bf9\u8c61\u7cfb\u7edf\u7684\u7f16\u7a0b\u8bed\u8a00\u4e2d\uff0c\u7a0b\u5e8f\u4e5f\u53ef\u4ee5\u662f\u9762\u5411\u5bf9\u8c61\u7684\u3002 \u653e\u5f03\u70b9\u8868\u793a\u6cd5-&gt;\u8c03\u5ea6\u5b57\u5178\u5b9e\u73b0\u6d88\u606f\u4f20\u9012</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#261","title":"2.6.1 \u5b9e\u4f8b","text":"Python<pre><code>&gt;&gt;&gt; def make_instance(cls):\n    \"\"\"Return a new object instance, which is a dispatch dictionary.\"\"\"\n    def get_value(name):\n        if name in attributes:\n            return attributes[name]\n        else:\n            value = cls['get'](name)\n            return bind_method(value, instance)\n    def set_value(name, value):\n        attributes[name] = value\n    attributes = {}\n    instance = {'get': get_value, 'set': set_value}\n    return instance\n\n&gt;&gt;&gt; def bind_method(value, instance):\n    \"\"\"Return a bound method if value is callable, or value otherwise.\"\"\"\n    if callable(value):\n        def method(*args):\n            return value(instance, *args)\n        return method\n    else:\n        return value\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#262","title":"2.6.2 \u7c7b","text":"Python<pre><code>&gt;&gt;&gt; def make_class(attributes, base_class=None):\n    \"\"\"Return a new class, which is a dispatch dictionary.\"\"\"\n    def get_value(name):\n        if name in attributes:\n            return attributes[name]\n        elif base_class is not None:\n            return base_class['get'](name)\n    def set_value(name, value):\n        attributes[name] = value\n    def new(*args):\n        return init_instance(cls, *args)\n    cls = {'get': get_value, 'set': set_value, 'new': new}\n    return cls\n\n&gt;&gt;&gt; def init_instance(cls, *args):\n    \"\"\"Return a new object with type cls, initialized with args.\"\"\"\n    instance = make_instance(cls)\n    init = cls['get']('__init__')\n    if init:\n        init(instance, *args)\n    return instance\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#3","title":"3 \u8ba1\u7b97\u673a\u7a0b\u5e8f\u7684\u89e3\u91ca","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#31","title":"3.1 \u5f15\u8a00","text":"<p>\u8bb8\u591a\u89e3\u91ca\u5668\u90fd\u6709\u4e00\u4e2a\u4f18\u96c5\u7684\u7ed3\u6784\uff0c\u5373\u4e24\u4e2a\u4e92\u9012\u5f52\u51fd\u6570\uff1a</p> <ul> <li>\u7b2c\u4e00\u4e2a\u51fd\u6570\u6c42\u89e3\u73af\u5883\u4e2d\u7684\u8868\u8fbe\u5f0f</li> <li>\u7b2c\u4e8c\u4e2a\u51fd\u6570\u5c06\u51fd\u6570\u5e94\u7528\u4e8e\u53c2\u6570</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#32","title":"3.2 \u51fd\u6570\u5f0f\u7f16\u7a0b","text":"<ul> <li>\u53ea\u4f7f\u7528\u8868\u8fbe\u5f0f\u800c\u4e0d\u4f7f\u7528\u8bed\u53e5\uff0c\u7279\u522b\u9002\u5408\u7b26\u53f7\u8ba1\u7b97</li> <li>\u5904\u7406\u7684\u6570\u636e\u90fd\u662f\u4e0d\u53ef\u53d8\u7684\uff08immutable\uff09</li> </ul> Python<pre><code>(if &lt;predicate&gt; &lt;consequent&gt; &lt;alternative&gt;)\n\n(define pi 3.14)\n(* pi 3.14)\n\n(define (&lt;name&gt; &lt;formal parameters&gt;) &lt;body&gt;)\neg1:\n    (define (average x y)\n      (/ (+ x y) 2))\neg2:\n    (define (abs x)\n    (if (&lt; x 0)\n        (- x)\n        x))\neg3:\n    (define (sqrt x)\n      (define (good-enough? guess)\n        (&lt; (abs (- (square guess) x)) 0.001))\n      (define (improve guess)\n        (average guess (/ x guess)))\n      (define (sqrt-iter guess)\n        (if (good-enough? guess)\n            guess\n            (sqrt-iter (improve guess))))\n      (sqrt-iter 1.0))\n    (sqrt 9)\n\n(lambda (&lt;formal-parameters&gt;) &lt;body&gt;)\neg1:\n    (define (plus4 x) (+ x 4))\n    (define plus4 (lambda (x) (+ x 4))) # both are OK\n\n# \u7279\u6b8a\u7684\u503c\u00a0nil\u00a0\u6216\u00a0'()\u00a0\u8868\u793a\u7a7a\u5217\u8868\n\n# null? \u8c13\u8bcd\u7684\u4f7f\u7528:\n    (define (length items)\n      (if (null? items)\n          0\n          (+ 1 (length (cdr items)))))\n    (define (getitem items n)\n      (if (= n 0)\n          (car items)\n          (getitem (cdr items) (- n 1))))\n    (define squares (list 1 4 9 16 25))\n\n    (length squares)\n\n    (getitem squares 3)\n\n# \u4efb\u4f55\u4e0d\u88ab\u6c42\u503c\u7684\u8868\u8fbe\u5f0f\u90fd\u88ab\u79f0\u4e3a\u88ab\u5f15\u7528\n    (list 'define 'list)\n\n# turtle\u4f7f\u7528+\u9012\u5f52\u753b\u56fe\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#33","title":"3.3 \u5f02\u5e38","text":"<ul> <li>raise</li> <li>assert</li> </ul> Python<pre><code>&gt;&gt;&gt; raise Exception(' An error occurred')\nTraceback (most recent call last):\n    File \"&lt;stdin&gt;\", line 1, in &lt;module&gt;\nException: an error occurred\n</code></pre> <ul> <li>raising an exception<ul> <li>read-eval-print-loop \u5373 REPL</li> <li>stack backtrace</li> </ul> </li> <li>handling exceptions</li> </ul> Python<pre><code>try\n    &lt;try suite&gt;\nexcept &lt;exception class&gt; as &lt;name&gt;:\n    &lt;except suite&gt;\n</code></pre> <p>\u5f02\u5e38\u662f\u4e2a\u7c7b\uff0c\u53ef\u4ee5\u6709\u989d\u5916\u7684\u5c5e\u6027\uff0c\u53ef\u4ee5\u907f\u514d\u62a5\u9519\uff0c\u8ba9\u7a0b\u5e8f\u7ed9\u51fa\u4e00\u4e2a\u8f83\u4e3a\u7c97\u7cd9\u7684\u503c\uff1a</p> Python<pre><code>&gt;&gt;&gt; class IterImproveError(Exception):\n\u00a0\u00a0\u00a0     def __init__(self, last_guess):\n\u00a0\u00a0\u00a0         self.last_guess = last_guess\n&gt;&gt;&gt; def improve(update, done, guess=1, max_updates=1000):\n\u00a0\u00a0\u00a0     k = 0\n\u00a0\u00a0\u00a0     try:\n\u00a0\u00a0\u00a0         while not done(guess) and k &lt; max_updates:\n\u00a0\u00a0\u00a0             guess = update(guess)\n\u00a0\u00a0\u00a0             k = k + 1\n\u00a0\u00a0\u00a0         return guess\n\u00a0\u00a0\u00a0     except ValueError:\n\u00a0\u00a0\u00a0         raise IterImproveError(guess)\n&gt;&gt;&gt; def find_zero(f, guess=1):\n\u00a0\u00a0\u00a0     def done(x):\n\u00a0\u00a0\u00a0         return f(x) == 0\n\u00a0\u00a0\u00a0     try:\n\u00a0\u00a0\u00a0         return improve(newton_update(f), done, guess)\n\u00a0\u00a0\u00a0     except IterImproveError as e:\n\u00a0\u00a0\u00a0         return e.last_guess\n&gt;&gt;&gt; from math import sqrt\n&gt;&gt;&gt; find_zero(lambda x: 2*x*x + sqrt(x))\n-0.030211203830201594\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#34","title":"3.4 \u7ec4\u5408\u8bed\u8a00\u7684\u89e3\u91ca\u5668","text":"<ul> <li>\u8ba1\u7b97\u5668\u8bed\u8a00 -&gt; \u7b80\u7565\u89e3\u91ca\u5668</li> <li>scheme \u5bf9<ul> <li>pair</li> <li>nil</li> </ul> </li> <li>\u8868\u8fbe\u5f0f\u6811</li> <li>\u89e3\u6790\u8868\u8fbe\u5f0f\u6811<ul> <li>\u8bcd\u6cd5\u5206\u6790\u5668\uff08lexical analyzer\uff09/ \u5206\u8bcd\u5668\uff08tokenizer\uff09<ul> <li>\u6807\u8bb0\uff08token\uff09</li> </ul> </li> <li>\u8bed\u6cd5\u5206\u6790\u5668\uff08syntactic analyzer\uff09<ul> <li>\u6570\u5b57\u548c\u8c03\u7528\u8868\u8fbe\u5f0f \u8bb2\u4e86\u4e00\u4e0b\u8ba1\u7b97\u5668\u89e3\u91ca\u5668\u4ea4\u4e92\u5f0f\u9875\u9762\u7684\u8868\u8fbe\u5f0f\u5982\u4f55\u8ba1\u7b97\u548c\u5f02\u5e38\u5904\u7406</li> </ul> </li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#35","title":"3.5 \u62bd\u8c61\u8bed\u8a00\u7684\u89e3\u91ca\u5668","text":"<ul> <li>\u6269\u5c55 scheme_reader \u89e3\u6790\u70b9\u5217\u8868\u548c\u5f15\u53f7</li> <li>\u6c42\u503c\uff08Evaluation\uff09</li> <li>\u51fd\u6570\u5e94\u7528\uff08Procedure application\uff09</li> <li>\u6c42\u503c/\u5e94\u7528\u9012\u5f52</li> <li>\u6570\u636e\u5373\u7a0b\u5e8f</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#4","title":"4 \u6570\u636e\u5904\u7406","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#41","title":"4.1 \u5f15\u8a00","text":"<ul> <li>pipelines</li> <li>sequence interface</li> <li>unbounded</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#42","title":"4.2 \u9690\u5f0f\u5e8f\u5217","text":"<ul> <li>\u6211\u4eec\u53ea\u5728\u6709\u9700\u8981\u7684\u65f6\u5019\u624d\u8ba1\u7b97\u5143\u7d20</li> <li>Lazy computation</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#421","title":"4.2.1 \u8fed\u4ee3\u5668","text":"<p>\u4e24\u4e2a\u7ec4\u4ef6:</p> <ul> <li>\u68c0\u7d22\u4e0b\u4e00\u4e2a\u5143\u7d20\u7684\u673a\u5236</li> <li>\u5230\u8fbe\u5e8f\u5217\u672b\u5c3e\u5e76\u4e14\u6ca1\u6709\u5269\u4f59\u5143\u7d20\uff0c\u53d1\u51fa\u4fe1\u53f7\u7684\u673a\u5236</li> </ul> Python<pre><code>&gt;&gt;&gt; next(iterator)\n7\n&gt;&gt;&gt; next(iterator)\nTraceback (most recent call las):\n  File \"&lt;stdin&gt;\", line 1, in &lt;module&gt;\nStopIteration\n\n&gt;&gt;&gt; try:\n        next(iterator)\n    except StopIteration:\n        print('No more values')\nNo more values\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#422","title":"4.2.2 \u53ef\u8fed\u4ee3\u6027","text":"<p>iterable value \u53ef\u8fed\u4ee3\u5bf9\u8c61:</p> <ul> <li>\u5e8f\u5217\u503c: string &amp; tuples</li> <li>\u5bb9\u5668: sets &amp; Dictionaries</li> </ul>"},{"location":"CS%20basic/cs61a/cs61a/","title":"Cs61a","text":"<p> \u7ea6 23 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>\u4ed6\u4eba\u603b\u7ed3</li> <li>https://github.com/HobbitQia/CS61A-Fall-2020/tree/main</li> <li>\u6559\u6750\u7ffb\u8bd1\u7248</li> <li>\u539f\u6559\u6750</li> <li>\u8bfe\u7a0b\u7f51\u7ad9\u5b58\u6863</li> <li>https://github.com/shuo-liu16/CS61A<ul> <li>scheme\u624b\u518c</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61c/cs61c/","title":"Cs61c","text":"<p> \u7ea6 21 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>https://github.com/Yan-J-lee/cs61c-projects/blob/master</li> <li>https://github.com/FeiNiaoBF/Fa22-Cs61c-proj3</li> <li>https://github.com/PKUFlyingPig/CS61C-summer20</li> <li>https://github.com/Ch-EnShen/cs61c-all-materials</li> <li>https://www.learncs.site/docs/curriculum-resource/cs61c</li> <li>note1</li> <li>CS61C\u81ea\u5b66\u5c0f\u7ed3</li> <li>\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u7b14\u8bb0</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/","title":"Cs61c lec06","text":"<p> \u7ea6 1228 \u4e2a\u5b57  18 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p> <p><code>lec06.pdf</code> \u6587\u4ef6\u662f\u5173\u4e8e RISC-V \u6c47\u7f16\u8bed\u8a00\u548c\u6307\u4ee4\u96c6\u67b6\u6784\u7684\u5165\u95e8\u8bfe\u7a0b\uff0c\u4ee5\u4e0b\u662f\u8be5\u8bfe\u7a0b\u7684\u8be6\u7ec6\u5185\u5bb9:</p>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#1","title":"1. \u6c47\u7f16\u8bed\u8a00\u7b80\u4ecb","text":"<ul> <li>\u6c47\u7f16\u8bed\u8a00\u662f\u4e00\u79cd\u4f4e\u7ea7\u7f16\u7a0b\u8bed\u8a00\uff0c\u5b83\u4e0e\u7279\u5b9a\u7684\u786c\u4ef6\u67b6\u6784\u7d27\u5bc6\u76f8\u5173\u3002</li> <li>\u6c47\u7f16\u8bed\u8a00\u7a0b\u5e8f\u9700\u8981\u901a\u8fc7\u6c47\u7f16\u5668\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u7a0b\u5e8f\uff0c\u4ee5\u4fbf CPU \u6267\u884c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#2","title":"2. \u9ad8\u7ea7\u8bed\u8a00\u4e0e\u6c47\u7f16\u8bed\u8a00","text":"<ul> <li>\u9ad8\u7ea7\u8bed\u8a00\uff08\u5982 C\u3001Java\uff09\u7f16\u5199\u7684\u7a0b\u5e8f\u9700\u8981\u7f16\u8bd1\u5668\u8f6c\u6362\u6210\u6c47\u7f16\u8bed\u8a00\uff0c\u518d\u7531\u6c47\u7f16\u5668\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u3002</li> <li>\u6c47\u7f16\u8bed\u8a00\u4e0e\u786c\u4ef6\u67b6\u6784\uff08\u5982 RISC-V\uff09\u76f4\u63a5\u76f8\u5173\uff0c\u63d0\u4f9b\u4e86\u5bf9\u786c\u4ef6\u7684\u76f4\u63a5\u63a7\u5236\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#3","title":"3. \u62bd\u8c61\u7684\u6982\u5ff5","text":"<ul> <li>\u62bd\u8c61\u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u7684\u4e00\u4e2a\u57fa\u672c\u6982\u5ff5\uff0c\u5141\u8bb8\u6211\u4eec\u5728\u4e0d\u540c\u7684\u5c42\u6b21\u4e0a\u7406\u89e3\u548c\u5b9e\u73b0\u7a0b\u5e8f\u3002</li> <li>\u4f8b\u5982\uff0c\u4ece\u9ad8\u7ea7\u8bed\u8a00\u5230\u6c47\u7f16\u8bed\u8a00\u518d\u5230\u673a\u5668\u8bed\u8a00\uff0c\u6bcf\u4e2a\u5c42\u6b21\u90fd\u662f\u5bf9\u4e0b\u4e00\u5c42\u7684\u62bd\u8c61\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#4-risc-v","title":"4. RISC-V \u67b6\u6784","text":"<ul> <li>RISC-V \u662f\u4e00\u79cd\u5f00\u6e90\u3001\u65e0\u8bb8\u53ef\u8d39\u7528\u7684\u6307\u4ee4\u96c6\u67b6\u6784\uff08ISA\uff09\u3002</li> <li>\u5b83\u652f\u6301 32 \u4f4d\u300164 \u4f4d\u548c 128 \u4f4d\u53d8\u4f53\u3002</li> <li>RISC-V \u65e8\u5728\u652f\u6301\u5f00\u653e\u7684\u7814\u7a76\u548c\u6559\u5b66\uff0c\u7531\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u5728 2010 \u5e74\u53d1\u8d77\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#5-risc-v","title":"5. \u4e3a\u4ec0\u4e48\u9009\u62e9 RISC-V","text":"<ul> <li>RISC-V \u7b80\u5355\u6613\u5b66\uff0c\u9002\u5408\u4f5c\u4e3a\u5b66\u4e60\u5176\u4ed6\u6c47\u7f16\u8bed\u8a00\u7684\u57fa\u7840\u3002</li> <li>\u5b66\u4e60 RISC-V \u53ef\u4ee5\u5e2e\u52a9\u7406\u89e3\u5176\u4ed6 CPU \u67b6\u6784\u548c\u6c47\u7f16\u8bed\u8a00\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#6","title":"6. \u5bc4\u5b58\u5668","text":"<ul> <li>\u5bc4\u5b58\u5668\u662f CPU \u5185\u90e8\u7684\u5c0f\u578b\u5b58\u50a8\u5355\u5143\uff0c\u7528\u4e8e\u5b58\u50a8\u6307\u4ee4\u6267\u884c\u8fc7\u7a0b\u4e2d\u7684\u4e34\u65f6\u6570\u636e\u3002</li> <li>RISC-V \u6709 32 \u4e2a\u5bc4\u5b58\u5668\uff08x0 \u5230 x31\uff09\uff0c\u6bcf\u4e2a\u5bc4\u5b58\u5668\u90fd\u662f 32 \u4f4d\u5bbd\u3002</li> <li>\u5bc4\u5b58\u5668\u7684\u8bbf\u95ee\u901f\u5ea6\u6bd4\u5185\u5b58\u5feb\u5f97\u591a\uff0c\u56e0\u4e3a\u5b83\u4eec\u4f4d\u4e8e CPU \u5185\u90e8\u3002\\</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#7","title":"7. \u5bc4\u5b58\u5668\u7684\u4f7f\u7528","text":"<ul> <li>\u5bc4\u5b58\u5668\u7528\u4e8e\u5b58\u50a8\u6307\u4ee4\u6267\u884c\u6240\u9700\u7684\u6570\u636e\uff0c\u5982\u53d8\u91cf\u548c\u4e2d\u95f4\u7ed3\u679c\u3002</li> <li>\u4e0e\u9ad8\u7ea7\u8bed\u8a00\u4e2d\u7684\u53d8\u91cf\u4e0d\u540c\uff0c\u5bc4\u5b58\u5668\u6ca1\u6709\u7c7b\u578b\uff0c\u53ef\u4ee5\u5b58\u50a8\u4efb\u4f55\u7c7b\u578b\u7684\u6570\u636e\u3002</li> <li>x0 \u5bc4\u5b58\u5668\u662f\u4e00\u4e2a\u7279\u6b8a\u7684\u5bc4\u5b58\u5668\uff0c\u5b83\u603b\u662f\u5305\u542b\u503c 0\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#8","title":"8. \u5bc4\u5b58\u5668\u4e0e\u5185\u5b58\u7684\u901f\u5ea6\u6bd4\u8f83","text":"<ul> <li>\u5bc4\u5b58\u5668\u6bd4\u5185\u5b58\u5feb\u7ea6 50-500 \u500d\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u7269\u7406\u4f4d\u7f6e\u548c\u5927\u5c0f\u3002</li> <li>\u5185\u5b58\u867d\u7136\u5bb9\u91cf\u5927\uff0c\u4f46\u8bbf\u95ee\u901f\u5ea6\u6162\u4e8e\u5bc4\u5b58\u5668\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#9","title":"9. \u6c47\u7f16\u8bed\u8a00\u4e2d\u7684\u6ce8\u91ca","text":"<ul> <li>\u6ce8\u91ca\u5bf9\u4e8e\u7406\u89e3\u6c47\u7f16\u4ee3\u7801\u81f3\u5173\u91cd\u8981\uff0c\u5c24\u5176\u662f\u5728\u590d\u6742\u7684\u64cd\u4f5c\u4e2d\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#10","title":"10. \u6c47\u7f16\u6307\u4ee4\u793a\u4f8b","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528\u6c47\u7f16\u6307\u4ee4\u6267\u884c\u57fa\u672c\u7684\u7b97\u672f\u64cd\u4f5c\uff0c\u5982\u52a0\u6cd5\u548c\u51cf\u6cd5\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#11-immediates","title":"11. \u7acb\u5373\u6570\uff08Immediates\uff09","text":"<ul> <li>\u7acb\u5373\u6570\u7528\u4e8e\u5728\u6c47\u7f16\u6307\u4ee4\u4e2d\u63d0\u4f9b\u6570\u503c\u5e38\u91cf\u3002</li> <li>RISC-V \u4e2d\u7684\u7acb\u5373\u6570\u64cd\u4f5c\u9650\u5236\u5728 12 \u4f4d\uff0c\u5e76\u4e14\u4f1a\u8fdb\u884c\u7b26\u53f7\u6269\u5c55\u5230 32 \u4f4d\u3002</li> <li> extension \u4fdd\u8bc1\u503c\u4e0d\u53d8</li> <li>add is for registers</li> <li>addi is for immediates</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#12","title":"12. \u5185\u5b58","text":"<ul> <li>\u5185\u5b58\u662f CPU \u5916\u90e8\u7684\u5b58\u50a8\u8bbe\u5907\uff0c\u5bb9\u91cf\u5927\u4f46\u901f\u5ea6\u6162\u3002</li> <li>\u5185\u5b58\u7528\u4e8e\u5b58\u50a8\u7a0b\u5e8f\u548c\u6570\u636e\uff0c\u4f46\u8bbf\u95ee\u901f\u5ea6\u6bd4\u5bc4\u5b58\u5668\u6162\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#13","title":"13. \u5185\u5b58\u5730\u5740","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u901a\u8fc7\u5730\u5740\u8bbf\u95ee\u5185\u5b58\u4e2d\u7684\u6570\u636e\u3002</li> <li>\u89e3\u91ca\u4e86\u5b57\u8282\u3001\u5b57\u548c\u4f4d\u7684\u5730\u5740\u8ba1\u7b97\u3002</li> <li>goldilocks principle</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#14","title":"14. \u8bbf\u95ee\u6570\u7ec4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u5728\u6c47\u7f16\u8bed\u8a00\u4e2d\u8bbf\u95ee\u6570\u7ec4\u5143\u7d20\uff0c\u5305\u62ec\u6307\u9488\u7b97\u672f\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#15","title":"15. \u4ece\u5185\u5b58\u52a0\u8f7d\u6570\u636e","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528 <code>lw</code>\uff08\u52a0\u8f7d\u5b57 load word\uff09\u6307\u4ee4\u5c06\u6570\u636e\u4ece\u5185\u5b58\u52a0\u8f7d\u5230\u5bc4\u5b58\u5668\u3002</li> <li></li> <li>\u7c7b\u4f3c\u7684\uff0cx15\u76f8\u5f53\u4e8e\u6bb5\u5730\u5740\uff0c12(3 * sizeof(int))\u76f8\u5f53\u4e8e\u504f\u79fb\u5730\u5740</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#16","title":"16. \u5b58\u50a8\u6570\u636e\u5230\u5185\u5b58","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528 <code>sw</code>\uff08\u5b58\u50a8\u5b57\uff09\u6307\u4ee4\u5c06\u6570\u636e\u4ece\u5bc4\u5b58\u5668\u5b58\u50a8\u5230\u5185\u5b58\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#17","title":"17. \u52a0\u8f7d\u548c\u5b58\u50a8\u5b57\u8282","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528 <code>lb</code>\uff08\u52a0\u8f7d\u5b57\u8282\uff09\u548c <code>sb</code>\uff08\u5b58\u50a8\u5b57\u8282\uff09\u6307\u4ee4\u5728\u5b57\u8282\u7ea7\u522b\u4e0a\u8fdb\u884c\u6570\u636e\u4f20\u8f93\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#18","title":"18. \u7b26\u53f7\u6269\u5c55","text":"<ul> <li>\u89e3\u91ca\u4e86\u5728\u52a0\u8f7d\u6570\u636e\u65f6\u5982\u4f55\u8fdb\u884c\u7b26\u53f7\u6269\u5c55\uff0c\u4ee5\u53ca\u5b83\u4e0e\u5b58\u50a8\u64cd\u4f5c\u7684\u533a\u522b\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#19","title":"19. \u903b\u8f91\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86 RISC-V \u4e2d\u7684\u903b\u8f91\u6307\u4ee4\uff0c\u5305\u62ec\u4f4d\u4e0e\uff08AND\uff09\u3001\u4f4d\u6216\uff08OR\uff09\u3001\u4f4d\u5f02\u6216\uff08XOR\uff09\u3001\u903b\u8f91\u5de6\u79fb\uff08SLL\uff09\u7b49\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#20","title":"20. \u79fb\u4f4d\u64cd\u4f5c","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528\u79fb\u4f4d\u6307\u4ee4\u6267\u884c\u7b97\u672f\u548c\u903b\u8f91\u79fb\u4f4d\u3002</li> <li></li> <li>\u5c31\u662f\u5148\u628a\u6240\u6709\u8fd0\u7b97\u7b97\u597d\uff0c\u653e\u5230\u57fa\u7840\u5730\u5740\u91cc\uff0c\u8fd9\u6837\u504f\u79fb\u5730\u5740\u5c31\u4e0d\u4f1a\u5305\u542bregister\u4e86</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#21","title":"21. \u51b3\u7b56\u5236\u5b9a\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528\u5206\u652f\u6307\u4ee4\u5728 RISC-V \u4e2d\u5b9e\u73b0\u6761\u4ef6\u5224\u65ad\uff0c\u4f8b\u5982 <code>beq</code>\uff08\u5982\u679c\u76f8\u7b49\u5219\u8df3\u8f6c\uff09\u548c <code>bne</code>\uff08\u5982\u679c\u4e0d\u76f8\u7b49\u5219\u8df3\u8f6c\uff09\u3002</li> <li></li> <li></li> <li></li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#22","title":"22. \u6807\u7b7e\u548c\u8df3\u8f6c","text":"<ul> <li>\u6807\u7b7e\u7528\u4e8e\u6807\u8bb0\u4ee3\u7801\u4e2d\u7684\u4f4d\u7f6e\uff0c\u5206\u652f\u548c\u8df3\u8f6c\u6307\u4ee4\u53ef\u4ee5\u4f7f\u7528\u6807\u7b7e\u6765\u5b9e\u73b0\u975e\u987a\u5e8f\u6267\u884c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#23","title":"23. \u5faa\u73af\u793a\u4f8b","text":"<ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728\u6c47\u7f16\u8bed\u8a00\u4e2d\u5b9e\u73b0\u5faa\u73af\uff0c\u4f7f\u7528 <code>for</code> \u5faa\u73af\u7684\u4f8b\u5b50\u8fdb\u884c\u4e86\u8bf4\u660e\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#24","title":"24. \u66f4\u591a\u6307\u4ee4","text":"<ul> <li>\u63d0\u4f9b\u4e86 RISC-V \u53c2\u8003\u5361\u7247\u7684\u94fe\u63a5\uff0c\u4f9b\u8fdb\u4e00\u6b65\u5b66\u4e60\u548c\u53c2\u8003\u3002</li> </ul> <p>\u8fd9\u4efd\u8bb2\u4e49\u4e3a\u5b66\u751f\u63d0\u4f9b\u4e86 RISC-V \u6c47\u7f16\u8bed\u8a00\u7f16\u7a0b\u7684\u57fa\u7840\u77e5\u8bc6\uff0c\u6db5\u76d6\u4e86\u4ece\u57fa\u672c\u7684\u7b97\u672f\u64cd\u4f5c\u5230\u66f4\u590d\u6742\u7684\u5185\u5b58\u8bbf\u95ee\u548c\u63a7\u5236\u6d41\u6307\u4ee4\u3002\u901a\u8fc7\u8fd9\u4e9b\u77e5\u8bc6\uff0c\u5b66\u751f\u80fd\u591f\u7406\u89e3\u5e76\u5f00\u59cb\u7f16\u5199\u7b80\u5355\u7684\u6c47\u7f16\u7a0b\u5e8f\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec07/","title":"Cs61c lec07","text":"<p> \u7ea6 1071 \u4e2a\u5b57  9 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p> <p><code>lec07.pdf</code> \u6587\u4ef6\u662f\u5173\u4e8e RISC-V \u6307\u4ee4\u96c6\u548c\u5982\u4f55\u5b9e\u73b0\u51fd\u6570\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u8bfe\u7a0b\u5185\u5bb9\u3002\u4ee5\u4e0b\u662f\u8be5\u8bfe\u7a0b\u5185\u5bb9\u7684\u8be6\u7ec6\u8bb2\u89e3:</p>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#1","title":"1. \u5bc4\u5b58\u5668\u548c\u5b83\u4eec\u80fd\u5b58\u50a8\u7684\u5185\u5bb9","text":"<ul> <li>\u5bc4\u5b58\u5668:32\u4f4d\u5bbd\uff0c\u7528\u4e8e\u5b58\u50a8\u5404\u79cd\u503c\u3002</li> <li>\u53ef\u4ee5\u5b58\u50a8\u6570\u7ec4\u7684\u5f00\u59cb\u4f4d\u7f6e\u3001\u5b57\u7b26\u4e32\u3001\u6574\u6570\u503c\u7b49\u3002</li> <li>\u5bc4\u5b58\u5668\u7528\u4e8e\u5feb\u901f\u8bbf\u95ee\u548c\u5904\u7406\u6570\u636e\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#2","title":"2. \u5df2\u5b66\u4e60\u7684\u6307\u4ee4","text":"<ul> <li>\u52a0\u6cd5/\u51cf\u6cd5:<code>add</code>, <code>sub</code>\uff0c\u7528\u4e8e\u6267\u884c\u57fa\u672c\u7684\u7b97\u672f\u8fd0\u7b97\u3002</li> <li>\u52a0\u5e38\u6570:<code>addi</code>\uff0c\u7528\u4e8e\u5c06\u5bc4\u5b58\u5668\u7684\u503c\u4e0e\u7acb\u5373\u6570\u76f8\u52a0\u3002</li> <li>\u5185\u5b58\u8bbf\u95ee:<code>lw</code> (load word), <code>lb</code> (load byte), <code>sw</code> (store word), <code>sb</code> (store byte)\uff0c\u7528\u4e8e\u5728\u5bc4\u5b58\u5668\u548c\u5185\u5b58\u4e4b\u95f4\u4f20\u8f93\u6570\u636e\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#3","title":"3. \u903b\u8f91\u6307\u4ee4","text":"<ul> <li>\u5305\u62ec\u903b\u8f91\u4e0e\uff08<code>and</code>\uff09\u3001\u6216\uff08<code>or</code>\uff09\u3001\u5f02\u6216\uff08<code>xor</code>\uff09\u3002</li> <li>\u4f4d\u79fb\u6307\u4ee4:<code>sll</code> (shift left logical), <code>slli</code> (shift left logical immediate), <code>sra</code> (shift right arithmetic), <code>srai</code> (shift right arithmetic immediate)\uff0c\u7528\u4e8e\u6267\u884c\u4f4d\u64cd\u4f5c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#4","title":"4. \u6761\u4ef6\u5206\u652f","text":"<ul> <li>\u7528\u4e8e\u5b9e\u73b0 <code>if</code>\u3001<code>loops</code> \u7b49\u63a7\u5236\u6d41\u7ed3\u6784\u3002</li> <li>\u683c\u5f0f:<code>{comparison} {reg1} {reg2} {label}</code>\uff0c\u4f8b\u5982 <code>beq</code> (branch if equal), <code>bne</code> (branch if not equal), <code>blt</code> (branch if less than), <code>bge</code> (branch if greater than or equal)\u3002</li> <li>\u6ca1\u6709\u76f4\u63a5\u7684 \u201cbranch-less-than-or-equals\u201d \u548c \u201cbranch-greater-than\u201d \u6307\u4ee4\uff0c\u4f46\u53ef\u4ee5\u901a\u8fc7\u4ea4\u6362\u53c2\u6570\u6765\u5b9e\u73b0\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#5","title":"5. \u65e0\u6761\u4ef6\u5206\u652f","text":"<ul> <li><code>Jump</code> \u6307\u4ee4:<code>j label</code>\uff0c\u603b\u662f\u8df3\u8f6c\u5230\u6807\u7b7e\u6307\u5b9a\u7684\u4ee3\u7801\u4f4d\u7f6e\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#6-if-else","title":"6. If-Else \u8bed\u53e5\u7684\u5b9e\u73b0","text":"<ul> <li>\u4f7f\u7528\u5206\u652f\u6307\u4ee4\u6765\u5b9e\u73b0\u6761\u4ef6\u6267\u884c\u3002</li> <li>\u793a\u4f8b:\u6839\u636e\u4e24\u4e2a\u5bc4\u5b58\u5668\u7684\u503c\u662f\u5426\u76f8\u7b49\uff0c\u6267\u884c\u4e0d\u540c\u7684\u64cd\u4f5c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#7","title":"7. \u5faa\u73af\u793a\u4f8b","text":"<ul> <li>\u4f7f\u7528\u5faa\u73af\u6765\u7d2f\u52a0\u6570\u7ec4\u5143\u7d20\u7684\u548c\u3002</li> <li>\u793a\u4f8b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u521d\u59cb\u5316\u5faa\u73af\u53d8\u91cf\u3001\u5faa\u73af\u6761\u4ef6\u4ee5\u53ca\u5faa\u73af\u4f53\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#8-pc","title":"8. \u7a0b\u5e8f\u8ba1\u6570\u5668\uff08PC\uff09","text":"<ul> <li>PC \u662f\u4e00\u4e2a\u5bc4\u5b58\u5668\uff0c\u5b58\u50a8\u5f53\u524d\u6b63\u5728\u6267\u884c\u7684\u6307\u4ee4\u7684\u5185\u5b58\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#9-pc","title":"9. \u589e\u52a0 PC \u7684\u503c","text":"<ul> <li>RV32 \u6307\u4ee4\u662f 32 \u4f4d\u5bbd\uff0c\u5373 4 \u5b57\u8282\u3002</li> <li>\u5f53\u79fb\u52a8\u5230\u4e0b\u4e00\u6761\u6307\u4ee4\u65f6\uff0c\u5904\u7406\u5668\u4f1a\u589e\u52a0 PC \u7684\u503c 4 \u5b57\u8282\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#10","title":"10. \u51fd\u6570\u6267\u884c\u4f4d\u7f6e\u7684\u6539\u53d8","text":"<ul> <li>\u4f7f\u7528\u8df3\u8f6c\u6307\u4ee4\u6539\u53d8 PC \u7684\u503c\uff0c\u4ee5\u6267\u884c\u4e0d\u540c\u4f4d\u7f6e\u7684\u51fd\u6570\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#11-jal","title":"11. JAL \u6307\u4ee4","text":"<ul> <li><code>jal</code> \u6307\u4ee4\u7528\u4e8e\u8df3\u8f6c\u5230\u6807\u7b7e\uff0c\u5e76\u5b58\u50a8\u8fd4\u56de\u5730\u5740\u3002</li> <li>\u5c06\u6807\u7b7e\u901a\u8fc7\u6c47\u7f16\u5668\u8f6c\u6362\u4e3a 20 \u4f4d\u504f\u79fb\u91cf\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#12","title":"12. \u8fd4\u56de\u5730\u5740\u5bc4\u5b58\u5668","text":"<ul> <li>\u53ef\u4ee5\u9009\u62e9\u4efb\u610f\u5bc4\u5b58\u5668\u6765\u5b58\u50a8\u8fd4\u56de\u5730\u5740\uff0c\u4f46\u6309\u7167\u6807\u51c6\u7ea6\u5b9a\uff0c\u4f7f\u7528\u5bc4\u5b58\u5668 x1\uff0c\u4e5f\u79f0\u4e3a <code>ra</code>\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#13","title":"13. \u8df3\u8f6c\u793a\u4f8b","text":"<ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u8c03\u7528\u4e2d\u4f7f\u7528 <code>jal</code> \u548c <code>jr</code> \u6307\u4ee4\u8fdb\u884c\u8df3\u8f6c\u548c\u8fd4\u56de\u3002</li> <li>\u7528x0\u53ef\u4ee5\u4e0d\u7528\u5b58\u8fd4\u56de\u5730\u5740</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#14","title":"14. \u4f2a\u6307\u4ee4","text":"<ul> <li>\u4f2a\u6307\u4ee4\u5bf9\u7a0b\u5e8f\u5458\u53ef\u7528\uff0c\u4f46\u4e0d\u662f ISA \u7684\u4e00\u90e8\u5206\u3002</li> <li>\u7531\u6c47\u7f16\u5668\u8f6c\u6362\u4e3a\u5b9e\u9645\u7684 RISC-V \u6307\u4ee4\u3002</li> <li>[[cs61c_lec06]]\u91cc\u5c31\u8bb2\u8fc7\u4e86</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#15-jalr","title":"15. JALR \u6307\u4ee4","text":"<ul> <li><code>jalr</code> \u6307\u4ee4\u7ed3\u5408\u4e86\u5bc4\u5b58\u5668\u548c\u7acb\u5373\u6570\u6765\u8ba1\u7b97\u8df3\u8f6c\u5730\u5740\u3002</li> <li> </li> <li> <p>\u7528\u4e8e\u4ece\u51fd\u6570\u8fd4\u56de\uff0c\u4e0d\u9700\u8981\u989d\u5916\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\u3002</p> </li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#16","title":"16. \u8df3\u8f6c\u603b\u7ed3","text":"<ul> <li>\u603b\u7ed3\u4e86\u4e0d\u540c\u7c7b\u578b\u7684\u8df3\u8f6c\u6307\u4ee4\uff0c\u5305\u62ec <code>jal</code>, <code>jalr</code>, <code>jr</code>, \u548c <code>ret</code>\u3002</li> <li></li> <li></li> <li>[[\u8df3\u8f6c\u548c\u8fd4\u56de\u7684\u51fd\u6570]]</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#17","title":"17. \u4fdd\u5b58\u5bc4\u5b58\u5668","text":"<ul> <li>\u5f53\u8c03\u7528\u53e6\u4e00\u4e2a\u51fd\u6570\u65f6\uff0c\u9700\u8981\u4fdd\u5b58\u5f53\u524d\u51fd\u6570\u4f7f\u7528\u7684\u5bc4\u5b58\u5668\u503c\uff0c\u4ee5\u9632\u6b62\u88ab\u8986\u76d6\u3002</li> <li>save in the stack</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#18","title":"18. \u4e3a\u6808\u5206\u914d\u7a7a\u95f4","text":"<ul> <li>\u6808\u7528\u4e8e\u5b58\u50a8\u81ea\u52a8\uff08\u5c40\u90e8\uff09\u53d8\u91cf\uff0c\u8fd9\u4e9b\u53d8\u91cf\u5728\u51fd\u6570\u9000\u51fa\u65f6\u88ab\u4e22\u5f03\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#19-sp","title":"19. \u6808\u6307\u9488\uff08SP\uff09","text":"<ul> <li>SP \u662f\u4e00\u4e2a\u5bc4\u5b58\u5668\uff0c\u5b58\u50a8\u6808\u4e0a\u6700\u540e\u4e00\u9879\u7684\u5185\u5b58\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#20","title":"20. \u6808\u5e27","text":"<ul> <li>\u6808\u5e27\u662f\u6808\u4e0a\u7684\u4e00\u5757\u533a\u57df\uff0c\u7528\u4e8e\u5b58\u50a8\u51fd\u6570\u7684\u5c40\u90e8\u53d8\u91cf\u548c\u5bc4\u5b58\u5668\u72b6\u6001\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#21","title":"21. \u79fb\u52a8\u6808\u6307\u9488","text":"<ul> <li>\u901a\u8fc7\u589e\u52a0\u6216\u51cf\u5c11 SP \u7684\u503c\u6765\u5728\u6808\u4e0a\u5206\u914d\u6216\u91ca\u653e\u7a7a\u95f4\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#22","title":"22. \u8c03\u7528\u7ea6\u5b9a","text":"<ul> <li>\u8c03\u7528\u7ea6\u5b9a\u5b9a\u4e49\u4e86\u54ea\u4e9b\u5bc4\u5b58\u5668\u7531\u8c03\u7528\u8005\u4fdd\u5b58\uff0c\u54ea\u4e9b\u7531\u88ab\u8c03\u7528\u8005\u4fdd\u5b58\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#23","title":"23. \u5bc4\u5b58\u5668\u4f7f\u7528\u8bf4\u660e","text":"<ul> <li>\u8868\u683c\u5217\u51fa\u4e86\u6bcf\u4e2a\u5bc4\u5b58\u5668\u7684\u7528\u9014\u548c\u8c01\u8d1f\u8d23\u4fdd\u5b58\u5b83\u4eec\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#24","title":"24. \u53c2\u6570\u5bc4\u5b58\u5668","text":"<ul> <li>\u51fd\u6570\u7684\u53c2\u6570\u548c\u8fd4\u56de\u503c\u901a\u8fc7\u7279\u5b9a\u7684\u5bc4\u5b58\u5668\u4f20\u9012\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#25","title":"25. \u8c03\u7528\u7ea6\u5b9a\u793a\u4f8b","text":"<ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u8c03\u7528\u4e2d\u4f7f\u7528\u53c2\u6570\u5bc4\u5b58\u5668\u548c\u8fd4\u56de\u5bc4\u5b58\u5668\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#26","title":"26. \u51fd\u6570\u8c03\u7528\u7684\u516d\u4e2a\u57fa\u672c\u6b65\u9aa4","text":"<ul> <li>\u4ece\u53c2\u6570\u8bbe\u7f6e\u5230\u63a7\u5236\u6743\u8fd4\u56de\u7684\u8be6\u7ec6\u8fc7\u7a0b\u3002</li> <li></li> </ul> <p>\u8fd9\u4efd\u8bb2\u4e49\u6db5\u76d6\u4e86 RISC-V \u6c47\u7f16\u8bed\u8a00\u4e2d\u63a7\u5236\u6d41\u3001\u51fd\u6570\u8c03\u7528\u3001\u5bc4\u5b58\u5668\u4f7f\u7528\u548c\u5185\u5b58\u7ba1\u7406\u7684\u5173\u952e\u6982\u5ff5\u548c\u6280\u672f\u3002\u901a\u8fc7\u8fd9\u4e9b\u5185\u5bb9\uff0c\u5b66\u751f\u53ef\u4ee5\u5b66\u4e60\u5982\u4f55\u5728 RISC-V \u67b6\u6784\u4e0a\u5b9e\u73b0\u590d\u6742\u7684\u7a0b\u5e8f\u903b\u8f91\u548c\u51fd\u6570\u4ea4\u4e92\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec08/","title":"Cs61c lec08","text":"<p> \u7ea6 1440 \u4e2a\u5b57  17 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> <p><code>lec08.pdf</code> \u6587\u4ef6\u8be6\u7ec6\u4ecb\u7ecd\u4e86 RISC-V \u6307\u4ee4\u96c6\u67b6\u6784\u4e2d\u7684\u6307\u4ee4\u683c\u5f0f\u548c\u5176\u4ed6\u76f8\u5173\u6982\u5ff5\u3002\u4ee5\u4e0b\u662f\u8be5\u8bfe\u7a0b\u5185\u5bb9\u7684\u8be6\u7ec6\u8bb2\u89e3:</p>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#1","title":"1. \u62bd\u8c61\u7684\u6982\u5ff5","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u4e0d\u540c\u7ea7\u522b\u7684\u62bd\u8c61\uff0c\u5305\u62ec\u9ad8\u7ea7\u8bed\u8a00\u3001\u6c47\u7f16\u8bed\u8a00\u3001\u673a\u5668\u8bed\u8a00\u548c\u786c\u4ef6\u67b6\u6784\u63cf\u8ff0\u3002</li> <li>\u89e3\u91ca\u4e86\u7f16\u8bd1\u5668\u3001\u6c47\u7f16\u5668\u548c\u673a\u5668\u89e3\u91ca\u7684\u4f5c\u7528\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#2","title":"2. \u6307\u4ee4\u683c\u5f0f","text":"<ul> <li>\u6307\u51fa\u6bcf\u6761\u6307\u4ee4\u90fd\u662f 32 \u4f4d\u5bbd\uff0c\u5e76\u5206\u4e3a\u4e0d\u540c\u7684\u5b57\u6bb5\u3002</li> <li>\u4ecb\u7ecd\u4e86 RISC-V \u6307\u4ee4\u96c6\u7684\u51e0\u79cd\u683c\u5f0f:R \u683c\u5f0f\u3001I \u683c\u5f0f\u3001S \u683c\u5f0f\u548c U \u683c\u5f0f\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#3-r","title":"3. R \u683c\u5f0f","text":"<ul> <li>R \u683c\u5f0f\u662f\u4e00\u79cd\u5bc4\u5b58\u5668-\u5bc4\u5b58\u5668\u7c7b\u578b\u7684\u6307\u4ee4\uff0c\u6d89\u53ca\u4e09\u4e2a\u5bc4\u5b58\u5668:\u4e24\u4e2a\u6e90\u5bc4\u5b58\u5668\u548c\u4e00\u4e2a\u76ee\u6807\u5bc4\u5b58\u5668\u3002</li> <li>\u4ecb\u7ecd\u4e86 R \u683c\u5f0f\u7684\u5b57\u6bb5\u5e03\u5c40\uff0c\u5305\u62ec <code>funct7</code>\u3001<code>rs2</code>\u3001<code>rs1</code>\u3001<code>funct3</code>\u3001<code>rd</code> \u548c <code>opcode</code>\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#4-r","title":"4. R \u683c\u5f0f\u6307\u4ee4\u7684\u64cd\u4f5c","text":"<ul> <li>\u901a\u8fc7 <code>funct7</code> \u548c <code>funct3</code> \u5b57\u6bb5\u4e0e <code>opcode</code> \u7ed3\u5408\u6765\u786e\u5b9a\u8981\u6267\u884c\u7684\u64cd\u4f5c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#5-r","title":"5. R \u683c\u5f0f\u6307\u4ee4\u7684\u5bc4\u5b58\u5668","text":"<ul> <li>\u89e3\u91ca\u4e86\u5bc4\u5b58\u5668\u5b57\u6bb5 <code>rs1</code>\u3001<code>rs2</code> \u548c <code>rd</code> \u7684\u4f5c\u7528\uff0c\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u5b58\u50a8 5 \u4f4d\u65e0\u7b26\u53f7\u6574\u6570\u6765\u8868\u793a\u5bc4\u5b58\u5668\u53f7\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#6-r","title":"6. R \u683c\u5f0f\u793a\u4f8b","text":"<ul> <li>\u901a\u8fc7\u793a\u4f8b <code>add x18, x19, x10</code> \u5c55\u793a\u4e86 R \u683c\u5f0f\u6307\u4ee4\u7684\u4e8c\u8fdb\u5236\u8868\u793a\u3002</li> <li></li> </ul> <p>\u5728RISC-V\u6307\u4ee4\u96c6\u4e2d\uff0c<code>opcode</code>\u3001<code>funct3</code>\u548c<code>funct7</code>\u5b57\u6bb5\u662f\u6784\u6210\u4e00\u6761\u6307\u4ee4\u7684\u57fa\u672c\u7ec4\u6210\u90e8\u5206\uff0c\u5b83\u4eec\u5171\u540c\u5b9a\u4e49\u4e86\u6307\u4ee4\u7684\u7c7b\u578b\u548c\u884c\u4e3a\u3002\u4e0b\u9762\u662f\u5bf9\u8fd9\u4e9b\u5b57\u6bb5\u7684\u7406\u89e3:</p> <ol> <li> <p>Opcode:\u64cd\u4f5c\u7801\u662f\u4e00\u4e2a\u56fa\u5b9a\u7684\u4f4d\u6a21\u5f0f\uff0c\u7528\u4e8e\u6807\u8bc6\u6307\u4ee4\u7684\u7c7b\u522b\u3002\u4f8b\u5982\uff0c\u6240\u6709R\u578b\uff08\u5bc4\u5b58\u5668-\u5bc4\u5b58\u5668\uff09\u7c7b\u578b\u7684\u6307\u4ee4\u90fd\u6709\u4e00\u4e2a\u7279\u5b9a\u7684\u64cd\u4f5c\u7801\u6765\u533a\u5206\u5b83\u4eec\u4e0eI\u578b\uff08\u5bc4\u5b58\u5668-\u7acb\u5373\u6570\uff09\u6216S\u578b\uff08\u5b58\u50a8\uff09\u6307\u4ee4\u7b49\u3002</p> </li> <li> <p>Funct3:\u529f\u80fd\u7801\u7684\u4f4e\u4e09\u4f4d\uff08funct3\uff09\u63d0\u4f9b\u4e86\u989d\u5916\u7684\u4fe1\u606f\uff0c\u7528\u4e8e\u5728\u5177\u6709\u591a\u79cd\u53d8\u4f53\u7684\u6307\u4ee4\u4e2d\u9009\u62e9\u7279\u5b9a\u7684\u64cd\u4f5c\u3002\u4f8b\u5982\uff0c\u5728RISC-V\u4e2d\uff0c<code>add</code>\u548c<code>sub</code>\u64cd\u4f5c\u90fd\u4f7f\u7528\u76f8\u540c\u7684\u64cd\u4f5c\u7801\uff0c\u4f46\u662f\u901a\u8fc7<code>funct3</code>\u5b57\u6bb5\u6765\u533a\u5206\u662f\u6267\u884c\u52a0\u6cd5\u8fd8\u662f\u51cf\u6cd5\u3002</p> </li> <li> <p>Funct7:\u529f\u80fd\u7801\u7684\u9ad8\u4e03\u4f4d\uff08funct7\uff09\u4e3a\u67d0\u4e9b\u6307\u4ee4\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u7f16\u7801\u7a7a\u95f4\uff0c\u5141\u8bb8\u540c\u4e00\u64cd\u4f5c\u7801\u4e0b\u6709\u66f4\u591a\u7684\u64cd\u4f5c\u53d8\u4f53\u3002\u4f8b\u5982\uff0c\u5728\u6d6e\u70b9\u6307\u4ee4\u4e2d\uff0c<code>funct7</code>\u5b57\u6bb5\u53ef\u4ee5\u7528\u4e8e\u9009\u62e9\u4e0d\u540c\u7684\u6d6e\u70b9\u8fd0\u7b97\u3002</p> </li> </ol> <p>\u5728RISC-V\u768432\u4f4d\u6307\u4ee4\u7f16\u7801\u4e2d\uff0c\u8fd9\u4e9b\u5b57\u6bb5\u901a\u5e38\u6309\u5982\u4e0b\u65b9\u5f0f\u7ec4\u7ec7:</p> <ul> <li>\u524d7\u4f4d\u662f<code>opcode</code>\u3002</li> <li>\u63a5\u4e0b\u6765\u76843\u4f4d\u662f<code>funct3</code>\u3002</li> <li>\u7136\u540e\u662f5\u4f4d\u64cd\u4f5c\u6570\u7f16\u7801\uff0c\u5bf9\u4e8eR\u578b\u6307\u4ee4\u662f<code>rs1</code>\u548c<code>rs2</code>\uff0c\u5bf9\u4e8eI\u578b\u6307\u4ee4\u662f<code>rs1</code>\u548c<code>\u7acb\u5373\u6570</code>\u3002</li> <li>\u5bf9\u4e8eR\u578b\u6307\u4ee4\uff0c\u540e\u9762\u662f3\u4f4d<code>rd</code>\u7f16\u7801\u3002</li> <li>\u5bf9\u4e8eI\u578b\u548cS\u578b\u6307\u4ee4\uff0c\u63a5\u4e0b\u6765\u768412\u4f4d\u662f\u7acb\u5373\u6570\u7f16\u7801\u3002</li> </ul> <p>\u4f8b\u5982\uff0c\u5728R\u578b\u6307\u4ee4\u4e2d\uff0c\u683c\u5f0f\u5982\u4e0b:</p> Text Only<pre><code>|---7---|---3---|---5---|---3---|---5---|\n| opcode| 000  |  rs2  | funct3|  rd   |\n</code></pre> <p>\u5728I\u578b\u6307\u4ee4\u4e2d\uff0c\u683c\u5f0f\u5982\u4e0b:</p> Text Only<pre><code>|---7---|---3---|---5---|---13--|\n| opcode| 000  |  rs1  |  immed |\n</code></pre> <p>\u5728\u7406\u89e3RISC-V\u6307\u4ee4\u65f6\uff0c\u91cd\u8981\u7684\u662f\u8981\u53c2\u8003\u5b98\u65b9\u7684\u6307\u4ee4\u96c6\u6587\u6863\uff0c\u56e0\u4e3a\u4e0d\u540c\u7684\u6307\u4ee4\u548c\u6307\u4ee4\u7c7b\u522b\u53ef\u80fd\u6709\u4e0d\u540c\u7684<code>funct3</code>\u548c<code>funct7</code>\u7f16\u7801\u3002\u8fd9\u4e9b\u7f16\u7801\u5b9a\u4e49\u4e86\u6307\u4ee4\u7684\u5177\u4f53\u884c\u4e3a\uff0c\u4f8b\u5982\u7b97\u672f\u8fd0\u7b97\u3001\u903b\u8f91\u8fd0\u7b97\u3001\u4f4d\u79fb\u8fd0\u7b97\u7b49\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#7-i","title":"7. I \u683c\u5f0f","text":"<ul> <li>I \u683c\u5f0f\u662f\u5bc4\u5b58\u5668-\u7acb\u5373\u6570\u7c7b\u578b\u7684\u6307\u4ee4\uff0c\u6d89\u53ca\u4e00\u4e2a\u5bc4\u5b58\u5668\u548c\u4e00\u4e2a\u7acb\u5373\u6570\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#8-i","title":"8. I \u683c\u5f0f\u5e03\u5c40","text":"<ul> <li>\u4ecb\u7ecd\u4e86 I \u683c\u5f0f\u7684\u5b57\u6bb5\u5e03\u5c40\uff0c\u5305\u62ec <code>imm[11:0]</code>\u3001<code>rs1</code>\u3001<code>funct3</code>\u3001<code>rd</code> \u548c <code>opcode</code>\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#9-i","title":"9. I \u683c\u5f0f\u6307\u4ee4","text":"<ul> <li>\u8ba8\u8bba\u4e86\u7acb\u5373\u6570\u7684\u8868\u793a\u8303\u56f4\u548c\u5982\u4f55\u8fdb\u884c\u7b26\u53f7\u6269\u5c55\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#10-i","title":"10. I \u683c\u5f0f\u793a\u4f8b","text":"<ul> <li>\u901a\u8fc7\u793a\u4f8b <code>addi x15, x18, -50</code> \u5c55\u793a\u4e86 I \u683c\u5f0f\u6307\u4ee4\u7684\u4e8c\u8fdb\u5236\u8868\u793a\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#11","title":"11. \u52a0\u8f7d\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u52a0\u8f7d\u6307\u4ee4\u7684\u4e0d\u540c\u7c7b\u578b\uff0c\u5305\u62ec\u52a0\u8f7d\u5b57\uff08<code>lw</code>\uff09\u3001\u52a0\u8f7d\u5b57\u8282\uff08<code>lb</code>\uff09\u3001\u52a0\u8f7d\u65e0\u7b26\u53f7\u5b57\u8282\uff08<code>lbu</code>\uff09\u548c\u52a0\u8f7d\u534a\u5b57\uff08<code>lh</code>\u3001<code>lhu</code>\uff09\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#12","title":"12. \u52a0\u8f7d\u6307\u4ee4\u7684\u5185\u5b58\u8868\u793a","text":"<ul> <li>\u89e3\u91ca\u4e86\u52a0\u8f7d\u6307\u4ee4\u5982\u4f55\u4ece\u5185\u5b58\u4e2d\u52a0\u8f7d\u4e0d\u540c\u5927\u5c0f\u7684\u6570\u636e\u5230\u5bc4\u5b58\u5668\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#13-s","title":"13. S \u683c\u5f0f","text":"<ul> <li>S \u683c\u5f0f\u662f\u5b58\u50a8\u6307\u4ee4\u7684\u683c\u5f0f\uff0c\u6d89\u53ca\u4e24\u4e2a\u6e90\u5bc4\u5b58\u5668\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#14","title":"14. \u5b58\u50a8\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5b58\u50a8\u6307\u4ee4\u7684\u4e0d\u540c\u7c7b\u578b\uff0c\u5305\u62ec\u5b58\u50a8\u5b57\uff08<code>sw</code>\uff09\u3001\u5b58\u50a8\u5b57\u8282\uff08<code>sb</code>\uff09\u548c\u5b58\u50a8\u534a\u5b57\uff08<code>sh</code>\uff09\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#15","title":"15. \u5b58\u50a8\u6307\u4ee4\u7684\u5185\u5b58\u8868\u793a","text":"<ul> <li>\u89e3\u91ca\u4e86\u5b58\u50a8\u6307\u4ee4\u5982\u4f55\u5c06\u6570\u636e\u4ece\u5bc4\u5b58\u5668\u5b58\u50a8\u5230\u5185\u5b58\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#16","title":"16. \u5206\u652f\u6307\u4ee4","text":"<ul> <li>\u8ba8\u8bba\u4e86\u6761\u4ef6\u5206\u652f\u6307\u4ee4\u7684\u7528\u6cd5\uff0c\u5305\u62ec <code>beq</code>\uff08\u5982\u679c\u76f8\u7b49\u5219\u5206\u652f\uff09\u3001<code>bne</code>\uff08\u5982\u679c\u4e0d\u76f8\u7b49\u5219\u5206\u652f\uff09\u7b49\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#17","title":"17. \u5206\u652f\u6307\u4ee4\u7684\u5730\u5740\u8303\u56f4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5206\u652f\u6307\u4ee4\u53ef\u4ee5\u8df3\u8f6c\u7684\u8303\u56f4\uff0c\u57fa\u4e8e PC \u76f8\u5bf9\u5730\u5740\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#18","title":"18. \u5206\u652f\u6307\u4ee4\u7684\u7f16\u7801","text":"<ul> <li>\u8be6\u7ec6\u89e3\u91ca\u4e86\u5206\u652f\u6307\u4ee4\u7684\u7acb\u5373\u6570\u5b57\u6bb5\u5982\u4f55\u7f16\u7801\uff0c\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u8df3\u8f6c\u504f\u79fb\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#19-risc-v-16","title":"19. RISC-V \u7684 16 \u4f4d\u6307\u4ee4\u6269\u5c55","text":"<ul> <li>\u4ecb\u7ecd\u4e86 RISC-V \u652f\u6301\u7684 16 \u4f4d\u538b\u7f29\u6307\u4ee4\uff0c\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u589e\u52a0\u6307\u4ee4\u7684\u5bc6\u5ea6\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#20-j","title":"20. J \u683c\u5f0f","text":"<ul> <li>J \u683c\u5f0f\u662f\u8df3\u8f6c\u6307\u4ee4\u7684\u683c\u5f0f\uff0c\u5141\u8bb8\u8df3\u8f6c\u5230\u66f4\u8fdc\u7684\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#21-jalr","title":"21. JALR \u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86 <code>jalr</code> \u6307\u4ee4\uff0c\u5b83\u7528\u4e8e\u76f8\u5bf9\u5730\u5740\u7684\u8df3\u8f6c\uff0c\u5e76\u53ef\u4ee5\u4f5c\u4e3a\u8fd4\u56de\u6307\u4ee4\u4f7f\u7528\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#22-pc","title":"22. PC \u76f8\u5bf9\u5730\u5740\u4e0e\u7edd\u5bf9\u5730\u5740","text":"<ul> <li>\u5bf9\u6bd4\u4e86 PC \u76f8\u5bf9\u5730\u5740\u8df3\u8f6c\u548c\u7edd\u5bf9\u5730\u5740\u8df3\u8f6c\u7684\u6982\u5ff5\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#23-u","title":"23. U \u683c\u5f0f","text":"<ul> <li>U \u683c\u5f0f\u662f\u7528\u4e8e\u52a0\u8f7d\u7acb\u5373\u6570\u5230\u5bc4\u5b58\u5668\u7684\u6307\u4ee4\u683c\u5f0f\uff0c\u5982 <code>lui</code>\uff08\u52a0\u8f7d\u4e0a\u7acb\u5373\u6570\uff09\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#24-lui-auipc","title":"24. LUI \u548c AUIPC \u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86 <code>lui</code> \u6307\u4ee4\u5982\u4f55\u52a0\u8f7d\u7acb\u5373\u6570\u7684\u4e0a 20 \u4f4d\u5230\u5bc4\u5b58\u5668\uff0c\u4ee5\u53ca <code>auipc</code>\uff08\u52a0\u7acb\u5373\u6570\u5230 PC\uff09\u5982\u4f55\u7528\u4e8e\u8ba1\u7b97 PC \u76f8\u5bf9\u7684\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#25","title":"25. \u603b\u7ed3","text":"<ul> <li>\u5bf9 RISC-V \u6307\u4ee4\u683c\u5f0f\u8fdb\u884c\u4e86\u603b\u7ed3\uff0c\u5f3a\u8c03\u4e86\u5b83\u4eec\u5728\u4e0d\u540c\u573a\u666f\u4e0b\u7684\u5e94\u7528\u3002</li> <li></li> </ul> <p>\u8fd9\u4efd\u8bb2\u4e49\u6df1\u5165\u63a2\u8ba8\u4e86 RISC-V \u6307\u4ee4\u96c6\u7684\u4e0d\u540c\u683c\u5f0f\uff0c\u5305\u62ec\u5b83\u4eec\u7684\u5b57\u6bb5\u5e03\u5c40\u3001\u64cd\u4f5c\u548c\u5e94\u7528\u573a\u666f\u3002\u901a\u8fc7\u8fd9\u4e9b\u5185\u5bb9\uff0c\u5b66\u751f\u53ef\u4ee5\u66f4\u6df1\u5165\u5730\u7406\u89e3 RISC-V \u6307\u4ee4\u96c6\u7684\u5de5\u4f5c\u539f\u7406\u548c\u5982\u4f55\u6709\u6548\u5730\u4f7f\u7528\u5404\u79cd\u6307\u4ee4\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec09/","title":"Cs61c lec09","text":"<p> \u7ea6 1004 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec09.pdf</code>\u6587\u4ef6\u662f\u5173\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531McMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u8ba8\u8bba\u4e86\u7f16\u8bd1\u3001\u6c47\u7f16\u3001\u94fe\u63a5\u548c\u52a0\u8f7d\uff08CALL\uff09\u7684\u8fc7\u7a0b\uff0c\u4ee5\u53ca\u5982\u4f55\u5c06\u9ad8\u7ea7\u8bed\u8a00\u7ffb\u8bd1\u6210RISC-V\u6c47\u7f16\u8bed\u8a00\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>CALL\u94fe\u4ecb\u7ecd:    - CALL\u94fe\u662f\u6307\u5c06\u9ad8\u7ea7\u8bed\u8a00\u4ee3\u7801\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u6240\u7ecf\u5386\u7684\u4e00\u7cfb\u5217\u6b65\u9aa4\uff0c\u5305\u62ec\u7f16\u8bd1\uff08Compiler\uff09\u3001\u6c47\u7f16\uff08Assembler\uff09\u3001\u94fe\u63a5\uff08Linker\uff09\u548c\u52a0\u8f7d\uff08Loader\uff09\u3002</p> </li> <li> <p>\u7ffb\u8bd1\u590d\u6742\u793a\u4f8b:    - \u901a\u8fc7\u4e00\u4e2aC\u8bed\u8a00\u7684<code>map</code>\u51fd\u6570\u793a\u4f8b\uff0c\u5c55\u793a\u4e86\u5982\u4f55\u5c06\u5176\u7ffb\u8bd1\u6210RISC-V\u6c47\u7f16\u8bed\u8a00\u3002\u8fd9\u4e2a\u51fd\u6570\u901a\u8fc7\u9012\u5f52\u65b9\u5f0f\uff0c\u5bf9\u94fe\u8868\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u5e94\u7528\u4e00\u4e2a\u51fd\u6570\u3002</p> </li> <li> <p>\u89e3\u91ca\u4e0e\u7f16\u8bd1:    - \u89e3\u91ca\u4e86\u89e3\u91ca\u578b\u8bed\u8a00\u548c\u7f16\u8bd1\u578b\u8bed\u8a00\u7684\u533a\u522b\u3002\u89e3\u91ca\u578b\u8bed\u8a00\u76f4\u63a5\u6267\u884c\u6e90\u4ee3\u7801\uff0c\u800c\u7f16\u8bd1\u578b\u8bed\u8a00\u5148\u5c06\u6e90\u4ee3\u7801\u8f6c\u6362\u6210\u53e6\u4e00\u79cd\u8bed\u8a00\u7684\u7b49\u4ef7\u7a0b\u5e8f\u3002</p> </li> <li> <p>\u5b58\u50a8\u65b9\u6848\u51b3\u7b56:    - \u786e\u5b9a\u4e86\u54ea\u4e9b\u53d8\u91cf\u5e94\u8be5\u653e\u5728\u5bc4\u5b58\u5668\u4e2d\u3002\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>lst</code>\u3001<code>f</code>\u548c<code>newcell</code>\u662f\u5c40\u90e8\u53d8\u91cf\uff0c\u9700\u8981\u5728\u51fd\u6570\u8c03\u7528\u4e4b\u95f4\u4fdd\u6301\u5b58\u6d3b\uff0c\u56e0\u6b64\u5b83\u4eec\u88ab\u653e\u5728\u4e86callee-saved\u5bc4\u5b58\u5668\u4e2d\u3002</p> </li> <li> <p>\u51fd\u6570\u5e8f\u8a00\uff08Preamble\uff09:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u5f00\u59cb\u65f6\u8c03\u6574\u6808\u6307\u9488\u3001\u4fdd\u5b58<code>ra</code>\u548c\u5176\u5b83\u9700\u8981\u7684\u5bc4\u5b58\u5668\u3002</p> </li> <li> <p>\u9012\u5f52\u8c03\u7528map:    - \u8be6\u7ec6\u89e3\u91ca\u4e86\u5982\u4f55\u8fdb\u884c\u65e9\u671f\u9000\u51fa\uff08\u5982\u679c<code>lst</code>\u4e3aNULL\uff09\u3001\u5982\u4f55\u8c03\u7528<code>malloc</code>\u5206\u914d\u5185\u5b58\u3001\u5982\u4f55\u8c03\u7528\u51fd\u6570<code>f</code>\u4ee5\u53ca\u5982\u4f55\u9012\u5f52\u8c03\u7528<code>map</code>\u51fd\u6570\u3002</p> </li> <li> <p>\u6e05\u7406\u4e0e\u8fd4\u56de:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u7ed3\u675f\u524d\u6062\u590d\u5bc4\u5b58\u5668\u72b6\u6001\u3001\u8c03\u6574\u6808\u6307\u9488\uff0c\u5e76\u4f7f\u7528<code>jr</code>\u6307\u4ee4\u8fd4\u56de\u3002</p> </li> <li> <p>\u5b8c\u6574\u4ee3\u7801\u793a\u4f8b:    - \u63d0\u4f9b\u4e86\u4e0a\u8ff0<code>map</code>\u51fd\u6570\u7684\u5b8c\u6574RISC-V\u6c47\u7f16\u8bed\u8a00\u5b9e\u73b0\u3002</p> </li> <li> <p>\u4e0d\u540c\u7ea7\u522b\u7684\u8868\u793a/\u89e3\u91ca:    - \u8ba8\u8bba\u4e86\u4ece\u9ad8\u7ea7\u8bed\u8a00\u5230\u6c47\u7f16\u8bed\u8a00\uff0c\u518d\u5230\u673a\u5668\u8bed\u8a00\u7684\u4e0d\u540c\u8868\u793a\u7ea7\u522b\uff0c\u4ee5\u53ca\u7f16\u8bd1\u5668\u3001\u6c47\u7f16\u5668\u548c\u673a\u5668\u89e3\u91ca\u5668\u7684\u89d2\u8272\u3002</p> </li> <li> <p>\u8bed\u8a00\u6267\u884c\u8fde\u7eed\u4f53:</p> <ul> <li>\u63cf\u8ff0\u4e86\u4ece\u6613\u7f16\u7a0b\u4f46\u6548\u7387\u8f83\u4f4e\u7684\u89e3\u91ca\u578b\u8bed\u8a00\u5230\u96be\u7f16\u7a0b\u4f46\u6548\u7387\u8f83\u9ad8\u7684\u7f16\u8bd1\u578b\u8bed\u8a00\u7684\u8fde\u7eed\u4f53\u3002</li> </ul> </li> <li> <p>\u89e3\u91ca\u4e0e\u7ffb\u8bd1:</p> <ul> <li>\u5bf9\u6bd4\u4e86\u89e3\u91ca\u5668\u548c\u7ffb\u8bd1\u5668\u7684\u4f18\u7f3a\u70b9\uff0c\u89e3\u91ca\u5668\u63d0\u4f9b\u66f4\u597d\u7684\u9519\u8bef\u6d88\u606f\u548c\u8de8\u5e73\u53f0\u517c\u5bb9\u6027\uff0c\u800c\u7ffb\u8bd1\u5668\u901a\u5e38\u63d0\u4f9b\u66f4\u9ad8\u7684\u6027\u80fd\u3002</li> </ul> </li> <li> <p>\u7f16\u8bd1C\u7a0b\u5e8f\u7684\u6b65\u9aa4:</p> <ul> <li>\u63cf\u8ff0\u4e86\u4eceC\u8bed\u8a00\u4ee3\u7801\u5230\u6c47\u7f16\u8bed\u8a00\u4ee3\u7801\u7684\u7f16\u8bd1\u8fc7\u7a0b\uff0c\u5305\u62ec\u8bcd\u6cd5\u5206\u6790\u3001\u8bed\u6cd5\u5206\u6790\u3001\u8bed\u4e49\u5206\u6790\u548c\u4f18\u5316\u3001\u4ee3\u7801\u751f\u6210\u7b49\u6b65\u9aa4\u3002</li> </ul> </li> <li> <p>\u6c47\u7f16\u5668:</p> <ul> <li>\u6c47\u7f16\u5668\u5c06\u6c47\u7f16\u8bed\u8a00\u4ee3\u7801\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u4ee3\u7801\uff0c\u5e76\u521b\u5efa\u5bf9\u8c61\u6587\u4ef6\u3002</li> </ul> </li> <li> <p>\u4f2a\u6307\u4ee4\u66ff\u6362:</p> <ul> <li>\u6c47\u7f16\u5668\u5982\u4f55\u5904\u7406\u4f2a\u6307\u4ee4\uff0c\u4f8b\u5982<code>j</code>\u6807\u7b7e\u8f6c\u6362\u4e3a<code>jal x0 \u6807\u7b7e</code>\u3002</li> </ul> </li> <li> <p>\u4ea7\u751f\u673a\u5668\u8bed\u8a00:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5982\u4f55\u5c06\u6c47\u7f16\u6307\u4ee4\u8f6c\u6362\u4e3a\u673a\u5668\u8bed\u8a00\uff0c\u5305\u62ec\u5904\u7406\u5206\u652f\u3001\u8df3\u8f6c\u548c\u7edd\u5bf9\u5730\u5740\u5f15\u7528\u3002</li> </ul> </li> <li> <p>\u7b26\u53f7\u8868\u548c\u91cd\u5b9a\u4f4d\u8868:</p> <ul> <li>\u7b26\u53f7\u8868\u5217\u51fa\u4e86\u5f53\u524d\u6587\u4ef6\u4e2d\u53ef\u80fd\u88ab\u5176\u4ed6\u6587\u4ef6\u4f7f\u7528\u7684\u9879\uff0c\u800c\u91cd\u5b9a\u4f4d\u8868\u5217\u51fa\u4e86\u5f53\u524d\u6587\u4ef6\u7a0d\u540e\u9700\u8981\u5730\u5740\u7684\u9879\u3002</li> </ul> </li> <li> <p>\u5bf9\u8c61\u6587\u4ef6\u683c\u5f0f:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5bf9\u8c61\u6587\u4ef6\u7684\u683c\u5f0f\uff0c\u5305\u62ec\u5bf9\u8c61\u6587\u4ef6\u5934\u3001\u6587\u672c\u6bb5\u3001\u6570\u636e\u6bb5\u3001\u91cd\u5b9a\u4f4d\u4fe1\u606f\u3001\u7b26\u53f7\u8868\u548c\u8c03\u8bd5\u4fe1\u606f\u3002</li> </ul> </li> <li> <p>\u94fe\u63a5\u5668:</p> <ul> <li>\u94fe\u63a5\u5668\u5982\u4f55\u5c06\u591a\u4e2a\u5bf9\u8c61\u6587\u4ef6\u7ec4\u5408\u6210\u4e00\u4e2a\u53ef\u6267\u884c\u6587\u4ef6\uff0c\u5e76\u89e3\u51b3\u7edd\u5bf9\u5730\u5740\u3002</li> </ul> </li> <li> <p>\u52a0\u8f7d\u5668:</p> <ul> <li>\u52a0\u8f7d\u5668\u8d1f\u8d23\u5c06\u53ef\u6267\u884c\u6587\u4ef6\u52a0\u8f7d\u5230\u5185\u5b58\u4e2d\u5e76\u5f00\u59cb\u6267\u884c\u3002</li> </ul> </li> <li> <p>\u6574\u6570\u4e58\u6cd5\u548c\u9664\u6cd5:</p> <ul> <li>\u8ba8\u8bba\u4e86RISC-V\u4e2d\u6574\u6570\u4e58\u6cd5\u548c\u9664\u6cd5\u7684\u5b9e\u73b0\uff0c\u5305\u62ec\u4f7f\u7528<code>mul</code>\u3001<code>mulh</code>\u3001<code>div</code>\u548c<code>rem</code>\u6307\u4ee4\u3002</li> </ul> </li> <li> <p>\u53ef\u9009\u7684RISC-V 16\u4f4d\u538b\u7f29ISA:</p> <ul> <li>\u63d0\u4f9b\u4e86\u5173\u4e8eRISC-V 16\u4f4d\u538b\u7f29\u6307\u4ee4\u96c6\u7684\u989d\u5916\u4fe1\u606f\uff0c\u8fd9\u662f\u4e00\u79cd\u4f18\u5316\uff0c\u7528\u4e8e\u6700\u5e38\u89c1\u7684\u6307\u4ee4\u6a21\u5f0f\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e2a\u8bb2\u5ea7\u6db5\u76d6\u4e86\u8ba1\u7b97\u673a\u7cfb\u7edf\u5e95\u5c42\u7684\u8bb8\u591a\u5173\u952e\u6982\u5ff5\uff0c\u5bf9\u4e8e\u7406\u89e3\u7a0b\u5e8f\u662f\u5982\u4f55\u88ab\u7f16\u8bd1\u3001\u94fe\u63a5\u548c\u6267\u884c\u7684\u975e\u5e38\u6709\u5e2e\u52a9\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec10/","title":"Cs61c lec10","text":"<p> \u7ea6 632 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u8fd9\u4efd\u6587\u4ef6\u662f\u5173\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u5e74McMahon\u548cWeaver\u8bfe\u7a0b\u7684\u4e00\u7cfb\u5217\u8bb2\u4e49\uff0c\u4e3b\u8981\u4ecb\u7ecd\u4e86\u6570\u5b57\u7cfb\u7edf\u7684\u57fa\u7840\u77e5\u8bc6\u548c\u5e03\u5c14\u4ee3\u6570\u53ca\u5176\u5728\u7535\u8def\u8bbe\u8ba1\u4e2d\u7684\u5e94\u7528\u3002\u4ee5\u4e0b\u662f\u6838\u5fc3\u5185\u5bb9\u7684\u6982\u8ff0:</p> <ol> <li> <p>\u6570\u5b57\u7cfb\u7edf\u4ecb\u7ecd:    - \u6570\u5b57\u7cfb\u7edf\u4f7f\u7528\u79bb\u6563\u503c\uff0c\u53ef\u4ee5\u662f\u5f00\uff081\uff09\u6216\u5173\uff080\uff09\uff0c\u4e0e\u6a21\u62df\u7cfb\u7edf\u76f8\u5bf9\uff0c\u540e\u8005\u5177\u6709\u8fde\u7eed\u7684\u503c\u8303\u56f4\u3002</p> </li> <li> <p>\u903b\u8f91\u95e8:    - \u903b\u8f91\u95e8\u662f\u6570\u5b57\u7535\u8def\u7684\u6784\u5efa\u5757\uff0c\u5305\u62ecAND\u3001OR\u3001XOR\u3001NOT\u3001NAND\u3001NOR\u548cXNOR\u7b49\u3002</p> </li> <li> <p>\u5e03\u5c14\u4ee3\u6570:    - \u5e03\u5c14\u4ee3\u6570\u662f\u6570\u5b66\u7684\u4e00\u4e2a\u5206\u652f\uff0c\u4e13\u95e8\u5904\u74060\u548c1\u7684\u8fd0\u7b97\uff0c\u57fa\u672c\u64cd\u4f5c\u5305\u62ecAND\uff08&amp;\uff09\u3001OR\uff08|\uff09\u548cNOT\uff08~\uff09\u3002</p> </li> <li> <p>\u5e03\u5c14\u4ee3\u6570\u7684\u89c4\u5219:    - \u5305\u62ec\u4e92\u8865\u5f8b\u3001\u96f6\u5f8b\u3001\u6052\u7b49\u5f8b\u3001\u5e42\u7b49\u5f8b\u3001\u4ea4\u6362\u5f8b\u3001\u7ed3\u5408\u5f8b\u548c\u5206\u914d\u5f8b\u7b49\u3002</p> </li> <li> <p>\u5fb7\u6469\u6839\u5b9a\u5f8b:    - \u63cf\u8ff0\u4e86AND\u548cOR\u64cd\u4f5c\u7684\u5bf9\u5076\u6027\uff0c\u5982<code>A(B + C)</code>\u7b49\u540c\u4e8e<code>AB + AC</code>\u3002</p> </li> <li> <p>\u5e03\u5c14\u4ee3\u6570\u7684\u5e94\u7528:    - \u4f7f\u7528\u5e03\u5c14\u4ee3\u6570\u7b80\u5316\u7535\u8def\uff0c\u5982\u901a\u8fc7\u5e03\u5c14\u4ee3\u6570\u89c4\u5219\u7b80\u5316\u8868\u8fbe\u5f0f<code>out = AB + B + C</code>\u4e3a<code>out = B + C</code>\u3002</p> </li> <li> <p>\u771f\u503c\u8868:    - \u7528\u4e8e\u8868\u793a\u5e03\u5c14\u65b9\u7a0b\u7684\u6240\u6709\u53ef\u80fd\u8f93\u5165\u548c\u8f93\u51fa\uff0c\u662f\u8bbe\u8ba1\u548c\u9a8c\u8bc1\u903b\u8f91\u7535\u8def\u7684\u91cd\u8981\u5de5\u5177\u3002</p> </li> <li> <p>\u903b\u8f91\u7535\u8def\u56fe:    - \u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u903b\u8f91\u95e8\u5b9e\u73b0\u5e03\u5c14\u65b9\u7a0b\uff0c\u5982<code>out = AB + CD</code>\u3002</p> </li> <li> <p>\u5f02\u6216\uff08XOR\uff09\u548c\u540c\u6216\uff08XNOR\uff09\u7684\u5b9e\u73b0:    - \u63cf\u8ff0\u4e86\u5982\u4f55\u4ec5\u4f7f\u7528AND\u548cOR\u95e8\u6765\u6784\u5efaXOR\u548cXNOR\u903b\u8f91\u3002</p> </li> <li> <p>\u52a0\u6cd5\u5668\u7684\u6784\u5efa:</p> <ul> <li>\u5305\u62ec\u534a\u52a0\u5668\uff08Half Adder\uff09\u548c\u5168\u52a0\u5668\uff08Full Adder\uff09\u7684\u8bbe\u8ba1\uff0c\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u5b83\u4eec\u6784\u5efa\u591a\u4f4d\u52a0\u6cd5\u5668\u3002</li> </ul> </li> <li> <p>\u7b97\u672f\u903b\u8f91\u5355\u5143\uff08ALU\uff09:</p> <ul> <li>\u4ecb\u7ecdALU\u7684\u4f5c\u7528\uff0c\u5b83\u53ef\u4ee5\u6267\u884c\u6574\u6570\u4e8c\u8fdb\u5236\u6570\u7684\u7b97\u672f\u548c\u903b\u8f91\u64cd\u4f5c\u3002</li> </ul> </li> <li> <p>\u7ec4\u5408\u903b\u8f91:</p> <ul> <li>\u63cf\u8ff0\u4e86\u7ec4\u5408\u903b\u8f91\u7684\u7279\u6027\uff0c\u5373\u8f93\u51fa\u4ec5\u4f9d\u8d56\u4e8e\u5f53\u524d\u8f93\u5165\uff0c\u5e76\u4e14\u4e00\u65e6\u8f93\u5165\u53ef\u7528\uff0c\u8f93\u51fa\u5c31\u5f00\u59cb\u88ab\u8ba1\u7b97\u3002</li> </ul> </li> <li> <p>\u591a\u8def\u590d\u7528\u5668\uff08Multiplexer\uff09:</p> <ul> <li>2:1\u591a\u8def\u590d\u7528\u5668\u7684\u9009\u62e9\u903b\u8f91\uff0c\u53ef\u4ee5\u6839\u636e\u9009\u62e9\u4fe1\u53f7\u4ece\u4e24\u4e2a\u8f93\u5165\u4e2d\u9009\u62e9\u4e00\u4e2a\u8f93\u51fa\u3002</li> </ul> </li> <li> <p>\u5b58\u50a8\u683c\u5f0f\u793a\u4f8b:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728RISC-V\u6c47\u7f16\u8bed\u8a00\u4e2d\u5b58\u50a8\u6307\u4ee4\uff0c\u4f8b\u5982<code>sw x14, 36(x5)</code>\u7684\u4e8c\u8fdb\u5236\u683c\u5f0f\u3002</li> </ul> </li> <li> <p>\u4e0d\u540c\u8868\u793a/\u89e3\u91ca\u5c42\u6b21:</p> <ul> <li>\u4ece\u9ad8\u7ea7\u8bed\u8a00\u7a0b\u5e8f\u5230\u6c47\u7f16\u8bed\u8a00\u7a0b\u5e8f\uff0c\u518d\u5230\u673a\u5668\u8bed\u8a00\u7a0b\u5e8f\uff0c\u4ee5\u53ca\u786c\u4ef6\u67b6\u6784\u63cf\u8ff0\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e9b\u8bb2\u4e49\u63d0\u4f9b\u4e86\u5bf9\u6570\u5b57\u7cfb\u7edf\u8bbe\u8ba1\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5305\u62ec\u5e03\u5c14\u4ee3\u6570\u7684\u539f\u7406\u3001\u903b\u8f91\u95e8\u7684\u5de5\u4f5c\u539f\u7406\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u8fd9\u4e9b\u5de5\u5177\u6765\u6784\u5efa\u548c\u7b80\u5316\u6570\u5b57\u7535\u8def\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec11/","title":"Cs61c lec11","text":"<p> \u7ea6 640 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u6587\u4ef6\u662f\u5173\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u5e74McMahon\u548cWeaver\u8bfe\u7a0b\u7684\u4e00\u7cfb\u5217\u8bb2\u4e49\uff0c\u6db5\u76d6\u4e86\u6570\u5b57\u7cfb\u7edf\u7684\u540c\u6b65\u7279\u6027\u3001\u89e6\u53d1\u5668\u3001\u65f6\u949f\u4fe1\u53f7\u3001\u7ec4\u5408\u903b\u8f91\u4e0e\u65f6\u5e8f\u903b\u8f91\u3001\u4ee5\u53ca\u6676\u4f53\u7ba1\u7684\u57fa\u7840\u77e5\u8bc6\u3002\u4ee5\u4e0b\u662f\u6838\u5fc3\u5185\u5bb9\u7684\u6982\u8ff0:</p> <ol> <li> <p>\u540c\u6b65\u6570\u5b57\u7cfb\u7edf:    - \u6240\u6709\u64cd\u4f5c\u90fd\u7531\u65f6\u949f\u4fe1\u53f7\u534f\u8c03\u3002</p> </li> <li> <p>\u7d2f\u52a0\u5668\uff08Accumulator\uff09\u793a\u4f8b:    - \u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u7d2f\u52a0\u5668\u9010\u6b65\u7d2f\u52a0\u8f93\u5165\u503c\u3002</p> </li> <li> <p>\u65f6\u949f\u4fe1\u53f7\uff08Clock Signal\uff09:    - \u65f6\u949f\u4fe1\u53f7\u5728\u9ad8\u4f4e\u72b6\u6001\u4e4b\u95f4\u632f\u8361\uff0c\u5b9a\u4e49\u4e86\u5468\u671f\uff08Period\uff09\u548c\u9891\u7387\uff08Frequency\uff09\u3002</p> </li> <li> <p>D\u89e6\u53d1\u5668\uff08D Flip-Flops\uff09:    - \u7528\u4e8e\u5b58\u50a8\u6570\u636e\uff0c\u4f9d\u8d56\u4e8e\u65f6\u949f\u4fe1\u53f7\u7684\u4e0a\u5347\u6cbf\u6216\u4e0b\u964d\u6cbf\u6765\u66f4\u65b0\u8f93\u51fa\u3002</p> </li> <li> <p>\u89e6\u53d1\u5668\u7c7b\u578b:    - \u540c\u6b65\u89e6\u53d1\u5668:\u4f9d\u8d56\u4e8e\u65f6\u949f\u4fe1\u53f7\u3002    - \u5f02\u6b65\u89e6\u53d1\u5668:\u72ec\u7acb\u4e8e\u65f6\u949f\u4fe1\u53f7\u3002</p> </li> <li> <p>\u89e6\u53d1\u5668\u7684\u65f6\u5e8f:    - \u5305\u62ecClock-to-Q\u5ef6\u8fdf\u3001\u5efa\u7acb\u65f6\u95f4\uff08Set-up Time\uff09\u3001\u4fdd\u6301\u65f6\u95f4\uff08Hold Time\uff09\u3002</p> </li> <li> <p>\u5bc4\u5b58\u5668\uff08Registers\uff09:    - \u7531\u591a\u4e2a\u89e6\u53d1\u5668\u7ec4\u6210\uff0c\u7528\u4e8e\u5b58\u50a832\u4f4d\u6570\u503c\u3002</p> </li> <li> <p>\u7ec4\u5408\u903b\u8f91\uff08Combinational Logic\uff09:    - \u63cf\u8ff0\u4e86\u7ec4\u5408\u903b\u8f91\u7684\u5ef6\u8fdf\u548c\u5982\u4f55\u901a\u8fc7\u7ec4\u5408\u903b\u8f91\u4f20\u64ad\u503c\u3002</p> </li> <li> <p>\u65f6\u949f\u5468\u671f\u65f6\u95f4\uff08Clock Cycle Time\uff09:    - \u5b9a\u4e49\u4e86\u6700\u5c0f\u65f6\u949f\u5468\u671f\u65f6\u95f4\uff0c\u5373\u4ece\u4e00\u4e2a\u72b6\u6001\u5143\u7d20\u7684\u8f93\u5165\u5230\u8fbe\u4e0b\u4e00\u4e2a\u72b6\u6001\u5143\u7d20\u7684\u8f93\u5165\u6240\u9700\u7684\u65f6\u95f4\u3002</p> </li> <li> <p>\u7535\u8def\u65f6\u5e8f\u5206\u6790:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5982\u4f55\u5206\u6790\u7535\u8def\u7684\u65f6\u5e8f\uff0c\u4f46\u6ca1\u6709\u6db5\u76d6\u66f4\u590d\u6742\u7684\u4f8b\u5b50\u3002</li> </ul> </li> <li> <p>\u7ec4\u5408\u903b\u8f91\u4e0e\u65f6\u5e8f\u903b\u8f91\uff08Combinational vs Sequential Logic\uff09:</p> <ul> <li>\u7ec4\u5408\u903b\u8f91:\u8f93\u51fa\u4ec5\u4f9d\u8d56\u4e8e\u5f53\u524d\u8f93\u5165\u3002</li> <li>\u65f6\u5e8f\u903b\u8f91:\u4e0e\u65f6\u949f\u4fe1\u53f7\u540c\u6b65\uff0c\u8f93\u51fa\u4f9d\u8d56\u4e8e\u8f93\u5165\u548c\u5148\u524d\u72b6\u6001\u7684\u7ec4\u5408\u3002</li> </ul> </li> <li> <p>\u6676\u4f53\u7ba1\uff08Transistors\uff09:</p> <ul> <li>\u8ba8\u8bba\u4e86\u91d1\u5c5e\u6c27\u5316\u7269\u534a\u5bfc\u4f53\u573a\u6548\u5e94\u6676\u4f53\u7ba1\uff08MOSFET\uff09\u7684\u5de5\u4f5c\u539f\u7406\u3002</li> </ul> </li> <li> <p>CMOS\uff08\u4e92\u8865\u91d1\u5c5e\u6c27\u5316\u7269\u534a\u5bfc\u4f53\uff09:</p> <ul> <li>\u4f7f\u7528p\u578b\u548cn\u578bMOSFET\u7684\u4e92\u8865\u548c\u5bf9\u79f0\u5bf9\u6765\u6784\u5efa\u903b\u8f91\u529f\u80fd\u3002</li> </ul> </li> <li> <p>\u903b\u8f91\u95e8\u7684\u6676\u4f53\u7ba1\u5b9e\u73b0:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u6676\u4f53\u7ba1\u6784\u5efa\u975e\u95e8\uff08Inverter\uff09\u3001\u4e0e\u95e8\uff08AND Gate\uff09\u3001\u6216\u95e8\uff08OR Gate\uff09\u3001\u4e0e\u975e\u95e8\uff08NAND Gate\uff09\u548c\u6216\u975e\u95e8\uff08NOR Gate\uff09\u3002</li> </ul> </li> <li> <p>\u5fb7\u6469\u6839\u5b9a\u5f8b\uff08DeMorgan\u2019s Law\uff09:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5982\u4f55\u4f7f\u7528\u975e\u95e8\u3001\u4e0e\u95e8\u548c\u6216\u95e8\u6765\u5b9e\u73b0\u903b\u8f91\u529f\u80fd\u3002</li> </ul> </li> <li> <p>\u6676\u4f53\u7ba1\u6570\u91cf\u7684\u4f18\u5316:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5982\u4f55\u901a\u8fc7\u5fb7\u6469\u6839\u5b9a\u5f8b\u5c06\u4e0e\u95e8\u548c\u6216\u95e8\u8f6c\u6362\u4e3a\u4e0e\u975e\u95e8\u548c\u6216\u975e\u95e8\u6765\u51cf\u5c11\u6676\u4f53\u7ba1\u6570\u91cf\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e9b\u8bb2\u4e49\u63d0\u4f9b\u4e86\u5bf9\u6570\u5b57\u7cfb\u7edf\u8bbe\u8ba1\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5305\u62ec\u540c\u6b65\u64cd\u4f5c\u3001\u89e6\u53d1\u5668\u7684\u5de5\u4f5c\u539f\u7406\u3001\u65f6\u949f\u4fe1\u53f7\u7684\u91cd\u8981\u6027\u3001\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u6676\u4f53\u7ba1\u6784\u5efa\u57fa\u672c\u7684\u903b\u8f91\u95e8\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec12/","title":"Cs61c lec12","text":"<p> \u7ea6 911 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec12.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531McMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u805a\u7126\u4e8eRISC-V\u5904\u7406\u5668\u8bbe\u8ba1\uff0c\u7279\u522b\u662f\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u548c\u5b9e\u73b0\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>CMOS\u7535\u8def\u7684\u73b0\u5b9e\u95ee\u9898:    - \u8ba8\u8bba\u4e86CMOS\uff08\u4e92\u8865\u91d1\u5c5e\u6c27\u5316\u7269\u534a\u5bfc\u4f53\uff09\u7535\u8def\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u9762\u4e34\u7684\u4e00\u4e9b\u6311\u6218\uff0c\u4f8b\u5982\u6676\u4f53\u7ba1\u4e0d\u662f\u5b8c\u7f8e\u7684\u5f00\u5173\uff0c\u5b58\u5728\u6f0f\u7535\u6d41\u548c\u6709\u9650\u7684\u5bfc\u901a\u7535\u963b\uff1b\u7535\u8def\u8282\u70b9\u5177\u6709\u7535\u5bb9\uff0c\u6539\u53d8\u7535\u538b\u9700\u8981\u5145\u653e\u7535\u3002</p> </li> <li> <p>\u6676\u4f53\u7ba1\u4f5c\u4e3a\u6c34\u9600\u7684\u7c7b\u6bd4:    - \u4f7f\u7528\u6c34\u9600\u548c\u6c34\u7ba1\u7684\u7c7b\u6bd4\u6765\u89e3\u91ca\u6676\u4f53\u7ba1\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u5176\u4e2d\u7535\u5b50\u50cf\u6c34\u5206\u5b50\uff0c\u6676\u4f53\u7ba1\u7684\u7535\u963b\u7c7b\u4f3c\u4e8e\u6c34\u7ba1\u76f4\u5f84\uff0c\u7535\u5bb9\u50cf\u6c34\u6876\u3002</p> </li> <li> <p>\u903b\u8f91\u95e8\u7684\u5ef6\u8fdf:    - \u63cf\u8ff0\u4e86\u903b\u8f91\u95e8\uff08\u5982\u4e0e\u95e8\u3001\u6216\u95e8\u3001\u975e\u95e8\u7b49\uff09\u5728\u8f93\u5165\u53d8\u5316\u5230\u8f93\u51fa\u53d8\u5316\u4e4b\u95f4\u7684\u5ef6\u8fdf\uff0c\u8fd9\u79cd\u5ef6\u8fdf\u53d6\u51b3\u4e8e\u95e8\u7684\u7c7b\u578b\u3001\u8fde\u63a5\u5230\u7684\u5176\u5b83\u95e8\u7684\u6570\u91cf\u4ee5\u53ca\u96c6\u6210\u7535\u8def\u5de5\u827a\u7ec6\u8282\u3002</p> </li> <li> <p>CMOS\u7535\u8def\u7684\u80fd\u8017:    - \u8ba8\u8bba\u4e86CMOS\u7535\u8def\u5728\u8fd0\u884c\u65f6\u6d88\u8017\u7535\u80fd\u7684\u95ee\u9898\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u624b\u6301\u8bbe\u5907\u548c\u670d\u52a1\u5668\u7b49\u4e0d\u540c\u5e94\u7528\u573a\u666f\u4e0b\u7684\u80fd\u6548\u548c\u6563\u70ed\u95ee\u9898\u3002</p> </li> <li> <p>\u5f00\u5173\u80fd\u91cf:    - \u57fa\u4e8e\u57fa\u672c\u7269\u7406\u539f\u7406\uff0c\u89e3\u91ca\u4e86\u6bcf\u6b21\u903b\u8f91\u72b6\u6001\u8f6c\u6362\u90fd\u4f1a\u6d88\u8017\u80fd\u91cf\uff0c\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u95e8\u7684\u5f00\u5173\u80fd\u8017\u3002</p> </li> <li> <p>\u964d\u4f4e\u80fd\u8017\u7684\u65b9\u6cd5:    - \u63d0\u51fa\u4e86\u964d\u4f4e\u7535\u6e90\u7535\u538b\u548c\u4f7f\u7528\u5e76\u884c\u6027\u6765\u63d0\u9ad8\u80fd\u6548\u7684\u65b9\u6cd5\uff0c\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u964d\u4f4e\u9891\u7387\u5e76\u4e0d\u63d0\u9ad8\u80fd\u6548\u3002</p> </li> <li> <p>\u62bd\u8c61\u7684\u6982\u5ff5:    - \u8ba8\u8bba\u4e86\u5728\u5904\u7406\u5668\u8bbe\u8ba1\u4e2d\u4f7f\u7528\u62bd\u8c61\u7684\u6982\u5ff5\uff0c\u4ece\u9ad8\u7ea7\u8bed\u8a00\u5230\u6c47\u7f16\u8bed\u8a00\uff0c\u518d\u5230\u673a\u5668\u8bed\u8a00\u548c\u786c\u4ef6\u67b6\u6784\u63cf\u8ff0\u3002</p> </li> <li> <p>RV32I\u6307\u4ee4\u96c6\u67b6\u6784\uff08ISA\uff09\u7684\u72b6\u6001\u9700\u6c42:    - \u63cf\u8ff0\u4e86RV32I ISA\u5728\u6267\u884c\u6307\u4ee4\u65f6\u9700\u8981\u8bfb\u53d6\u548c\u66f4\u65b0\u7684\u72b6\u6001\uff0c\u5305\u62ec\u5bc4\u5b58\u5668\u3001\u7a0b\u5e8f\u8ba1\u6570\u5668\uff08PC\uff09\u548c\u5185\u5b58\u3002</p> </li> <li> <p>\u5355\u6307\u4ee4\u5468\u671fRISC-V\u673a\u5668:    - \u89e3\u91ca\u4e86\u5728\u5355\u6307\u4ee4\u5468\u671fRISC-V\u673a\u5668\u4e2d\uff0c\u5982\u4f55\u901a\u8fc7\u7ec4\u5408\u903b\u8f91\u548c\u65f6\u949f\u4fe1\u53f7\u5728\u6bcf\u4e2a\u65f6\u949f\u5468\u671f\u6267\u884c\u4e00\u6761\u6307\u4ee4\u3002</p> </li> <li> <p>\u6307\u4ee4\u6267\u884c\u7684\u57fa\u672c\u9636\u6bb5:</p> <ul> <li>\u63cf\u8ff0\u4e86\u6307\u4ee4\u6267\u884c\u7684\u4e94\u4e2a\u57fa\u672c\u9636\u6bb5:\u6307\u4ee4\u83b7\u53d6\uff08IF\uff09\u3001\u6307\u4ee4\u89e3\u7801/\u5bc4\u5b58\u5668\u8bfb\u53d6\uff08ID\uff09\u3001\u6267\u884c\uff08EX\uff09\u3001\u5185\u5b58\u8bbf\u95ee\uff08MEM\uff09\u548c\u5bc4\u5b58\u5668\u5199\u56de\uff08WB\uff09\u3002</li> </ul> </li> <li> <p>\u5b9e\u73b0\u7279\u5b9aRISC-V\u6307\u4ee4:</p> <ul> <li>\u901a\u8fc7<code>add</code>\u3001<code>sub</code>\u3001<code>addi</code>\u3001<code>lw</code>\u3001<code>sw</code>\u7b49\u6307\u4ee4\u7684\u4f8b\u5b50\uff0c\u5c55\u793a\u4e86\u5982\u4f55\u5728\u6570\u636e\u8def\u5f84\u4e2d\u5b9e\u73b0\u8fd9\u4e9b\u6307\u4ee4\u3002</li> </ul> </li> <li> <p>\u6570\u636e\u8def\u5f84\u7684\u6269\u5c55:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5c06\u6570\u636e\u8def\u5f84\u6269\u5c55\u4ee5\u652f\u6301\u4e0d\u540c\u7c7b\u578b\u7684\u6307\u4ee4\uff0c\u4f8b\u5982\u7acb\u5373\u6570\u751f\u6210\u3001\u5206\u652f\u6307\u4ee4\u548c\u8df3\u8f6c\u6307\u4ee4\u3002</li> </ul> </li> <li> <p>\u63a7\u5236\u903b\u8f91:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63a7\u5236\u903b\u8f91\u5982\u4f55\u6839\u636e\u6307\u4ee4\u6765\u6307\u5bfc\u6570\u636e\u8def\u5f84\u7684\u64cd\u4f5c\uff0c\u5305\u62ecALU\u9009\u62e9\u3001\u5185\u5b58\u8bfb\u5199\u9009\u62e9\u548c\u5bc4\u5b58\u5668\u5199\u56de\u9009\u62e9\u3002</li> </ul> </li> <li> <p>\u901a\u7528\u6570\u636e\u8def\u5f84:</p> <ul> <li>\u5f3a\u8c03\u4e86\u6570\u636e\u8def\u5f84\u662f\u6240\u6709\u6307\u4ee4\u6240\u9700\u5355\u5143\u7684\u201c\u8054\u5408\u201d\uff0c\u901a\u8fc7\u591a\u8def\u9009\u62e9\u5668\u63d0\u4f9b\u9009\u9879\uff0c\u4f46\u5e76\u975e\u6240\u6709\u786c\u4ef6\u5355\u5143\u5728\u6240\u6709\u6307\u4ee4\u4e2d\u90fd\u88ab\u4f7f\u7528\u3002</li> </ul> </li> <li> <p>\u6267\u884c\u9636\u6bb5:</p> <ul> <li>\u63cf\u8ff0\u4e86\u6307\u4ee4\u6267\u884c\u7684\u4e94\u4e2a\u9636\u6bb5\uff0c\u4ee5\u53ca\u4e0d\u662f\u6240\u6709\u6307\u4ee4\u5728\u6240\u6709\u9636\u6bb5\u90fd\u6d3b\u8dc3\u3002</li> </ul> </li> <li> <p>\u63a7\u5236\u903b\u8f91\u7684\u5b9e\u73b0:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63a7\u5236\u903b\u8f91\u53ef\u4ee5\u901a\u8fc7\u67e5\u627e\u8868\uff08\u4f8b\u5982ROM\uff09\u6216\u7ec4\u5408\u903b\u8f91\u6765\u5b9e\u73b0\uff0c\u5e76\u5c55\u793a\u4e86\u63a7\u5236\u4fe1\u53f7\u7684\u771f\u503c\u8868\u3002</li> </ul> </li> </ol> <p>\u901a\u8fc7\u8fd9\u4e9b\u5185\u5bb9\uff0c<code>lec12.pdf</code>\u63d0\u4f9b\u4e86\u5bf9RISC-V\u5904\u7406\u5668\u6570\u636e\u8def\u5f84\u8bbe\u8ba1\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5305\u62ec\u5982\u4f55\u5904\u7406\u4e0d\u540c\u7c7b\u578b\u7684\u6307\u4ee4\u4ee5\u53ca\u5982\u4f55\u8bbe\u8ba1\u63a7\u5236\u903b\u8f91\u4ee5\u9a71\u52a8\u6570\u636e\u8def\u5f84\u7684\u64cd\u4f5c\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec13/","title":"Cs61c lec13","text":"<p> \u7ea6 891 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec13.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632020\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531Kolb\u548cWeaver\u4ee5\u53caMcMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u8bb2\u89e3\u4e86RISC-V\u6307\u4ee4\u96c6\u67b6\u6784\u4e2d\u5355\u5468\u671f(Single-Cycle)\u548c\u6d41\u6c34\u7ebf(Pipelined)\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u548c\u63a7\u5236\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>\u5355\u5468\u671fRISC-V\u6570\u636e\u8def\u5f84\u5b8c\u6210:    - \u4ecb\u7ecd\u4e86\u5982\u4f55\u5b8c\u6210\u5355\u5468\u671fRISC-V\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\uff0c\u786e\u4fdd\u6bcf\u4e2aRISC-V\u6307\u4ee4\u53ef\u4ee5\u5728\u4e00\u4e2a\u65f6\u949f\u5468\u671f\u5185\u6267\u884c\u3002</p> </li> <li> <p>\u63a7\u5236\u5668(Controller):    - \u63a7\u5236\u5668\u662f\u544a\u8bc9\u901a\u7528\u6570\u636e\u8def\u5f84\u5982\u4f55\u6267\u884c\u6bcf\u6761\u6307\u4ee4\u7684\u90e8\u5206\u3002\u5b83\u6839\u636e\u6307\u4ee4\u7684\u7c7b\u578b\u751f\u6210\u76f8\u5e94\u7684\u63a7\u5236\u4fe1\u53f7\u3002</p> </li> <li> <p>\u6307\u4ee4\u5b9a\u65f6(Instruction Timing):    - \u8ba8\u8bba\u4e86\u4e0d\u540c\u7c7b\u578b\u7684\u6307\u4ee4\u5728\u6267\u884c\u65f6\u6240\u9700\u7684\u65f6\u95f4\uff0c\u5305\u62ec\u53d6\u6307(IF)\u3001\u8bd1\u7801(ID)\u3001\u6267\u884c(EX)\u3001\u8bbf\u5b58(MEM)\u548c\u5199\u56de(WB)\u9636\u6bb5\u3002</p> </li> <li> <p>\u6027\u80fd\u5ea6\u91cf(Performance Measures):    - \u4ecb\u7ecd\u4e86\u8bc4\u4f30\u5904\u7406\u5668\u6027\u80fd\u7684\u4e0d\u540c\u6307\u6807\uff0c\u5982\u65f6\u949f\u9891\u7387\u3001\u6307\u4ee4\u6267\u884c\u65f6\u95f4\u3001\u541e\u5410\u91cf\u7b49\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u4ecb\u7ecd(Introduction to Pipelining):    - \u8bb2\u89e3\u4e86\u6d41\u6c34\u7ebf\u7684\u6982\u5ff5\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6d41\u6c34\u7ebf\u63d0\u9ad8\u5904\u7406\u5668\u7684\u6307\u4ee4\u541e\u5410\u91cf\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebfRISC-V\u6570\u636e\u8def\u5f84(Pipelined RISC-V Datapath):    - \u8be6\u7ec6\u4ecb\u7ecd\u4e86\u6d41\u6c34\u7ebfRISC-V\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\uff0c\u5305\u62ec\u6d41\u6c34\u7ebf\u7684\u5404\u4e2a\u9636\u6bb5\u548c\u5b83\u4eec\u5982\u4f55\u534f\u540c\u5de5\u4f5c\u3002</p> </li> <li> <p>\u5b9e\u73b0jal\u6307\u4ee4:    - \u7279\u522b\u4ecb\u7ecd\u4e86jal\uff08\u8df3\u8f6c\u5e76\u94fe\u63a5\uff09\u6307\u4ee4\u7684\u5b9e\u73b0\uff0c\u5305\u62ec\u5982\u4f55\u5728\u5bc4\u5b58\u5668\u4e2d\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\uff0c\u4ee5\u53ca\u5982\u4f55\u8bbe\u7f6e\u7a0b\u5e8f\u8ba1\u6570\u5668\u4ee5\u5b9e\u73b0\u8df3\u8f6c\u3002</p> </li> <li> <p>\u6570\u636e\u8def\u5f84\u6dfb\u52a0jal:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u6570\u636e\u8def\u5f84\u4e2d\u6dfb\u52a0\u5bf9jal\u6307\u4ee4\u7684\u652f\u6301\uff0c\u5305\u62ec\u6240\u9700\u7684\u63a7\u5236\u4fe1\u53f7\u548c\u6570\u636e\u8def\u5f84\u7684\u53d8\u5316\u3002</p> </li> <li> <p>\u5355\u5468\u671fRV32I\u6570\u636e\u8def\u5f84\u56de\u987e:    - \u56de\u987e\u4e86\u5355\u5468\u671fRV32I\u6307\u4ee4\u96c6\u67b6\u6784\u7684\u6570\u636e\u8def\u5f84\u8bbe\u8ba1\uff0c\u5305\u62ecALU\u3001\u5bc4\u5b58\u5668\u3001\u5185\u5b58\u7b49\u7ec4\u4ef6\u3002</p> </li> <li> <p>\u901a\u7528\u6570\u636e\u8def\u5f84:    - \u8ba8\u8bba\u4e86\u901a\u7528\u6570\u636e\u8def\u5f84\u7684\u6982\u5ff5\uff0c\u5373\u6570\u636e\u8def\u5f84\u80fd\u591f\u6267\u884c\u6240\u6709RISC-V\u6307\u4ee4\uff0c\u4ee5\u53ca\u5b83\u662f\u5982\u4f55\u901a\u8fc7\u591a\u8def\u9009\u62e9\u5668\u5b9e\u73b0\u4e0d\u540c\u6307\u4ee4\u7684\u6267\u884c\u3002</p> </li> <li> <p>\u63a7\u5236\u903b\u8f91:    - \u4ecb\u7ecd\u4e86\u63a7\u5236\u903b\u8f91\u7684\u8bbe\u8ba1\uff0c\u5305\u62ec\u5982\u4f55\u4f7f\u7528\u771f\u503c\u8868\u6765\u786e\u5b9a\u6bcf\u6761\u6307\u4ee4\u6240\u9700\u7684\u63a7\u5236\u4fe1\u53f7\u3002</p> </li> <li> <p>\u63a7\u5236\u5668\u5b9e\u73b0\u9009\u9879:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63a7\u5236\u5668\u7684\u4e24\u79cd\u5b9e\u73b0\u65b9\u5f0f:\u53ea\u8bfb\u5b58\u50a8\u5668(ROM)\u548c\u7ec4\u5408\u903b\u8f91(Combinatorial Logic)\u3002</li> </ul> </li> <li> <p>ROM\u63a7\u5236\u5668\u5b9e\u73b0:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528ROM\u6765\u5b9e\u73b0\u63a7\u5236\u5668\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u5730\u5740\u89e3\u7801\u6765\u751f\u6210\u63a7\u5236\u4fe1\u53f7\u3002</li> </ul> </li> <li> <p>\u6307\u4ee4\u5b9a\u65f6:</p> <ul> <li>\u5206\u6790\u4e86\u4e0d\u540c\u6307\u4ee4\u5728\u6267\u884c\u65f6\u7684\u5178\u578b\u6700\u574f\u60c5\u51b5\u65f6\u95f4\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6d41\u6c34\u7ebf\u6765\u63d0\u9ad8\u65f6\u949f\u9891\u7387\u3002</li> </ul> </li> <li> <p>\u6027\u80fd\u5ea6\u91cf:</p> <ul> <li>\u8fdb\u4e00\u6b65\u8ba8\u8bba\u4e86\u6027\u80fd\u5ea6\u91cf\u7684\u6982\u5ff5\uff0c\u5305\u62ec\u5982\u4f55\u7406\u89e3\u6307\u4ee4\u6267\u884c\u65f6\u95f4\u3001\u541e\u5410\u91cf\u548c\u80fd\u6548\u3002</li> </ul> </li> <li> <p>\u8fd0\u8f93\u7c7b\u6bd4:</p> <ul> <li>\u4f7f\u7528\u8d5b\u8f66\u548c\u516c\u4ea4\u8f66\u7684\u7c7b\u6bd4\u6765\u89e3\u91ca\u6307\u4ee4\u6267\u884c\u65f6\u95f4\uff08\u5ef6\u8fdf\uff09\u3001\u6307\u4ee4\u6267\u884c\u603b\u91cf\uff08\u541e\u5410\u91cf\uff09\u548c\u6bcf\u6761\u6307\u4ee4\u7684\u80fd\u8017\uff08\u80fd\u6548\uff09\u3002</li> </ul> </li> <li> <p>\u5904\u7406\u5668\u6027\u80fd\u7684\u201c\u94c1\u5f8b\u201d:</p> <ul> <li>\u8ba8\u8bba\u4e86\u7a0b\u5e8f\u6267\u884c\u65f6\u95f4\u7531\u6307\u4ee4\u6570\u3001\u6bcf\u6761\u6307\u4ee4\u7684\u65f6\u949f\u5468\u671f\u6570\u548c\u6bcf\u4e2a\u65f6\u949f\u5468\u671f\u7684\u65f6\u95f4\u5171\u540c\u51b3\u5b9a\u7684\u539f\u7406\u3002</li> </ul> </li> <li> <p>\u7ed3\u675f\u8bed:</p> <ul> <li>\u603b\u7ed3\u4e86\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u3001\u63a7\u5236\u5668\u7684\u4f5c\u7528\u3001\u6307\u4ee4\u5b9a\u65f6\u7684\u91cd\u8981\u6027\u4ee5\u53ca\u6d41\u6c34\u7ebf\u5982\u4f55\u63d0\u9ad8\u6027\u80fd\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4efd\u8bb2\u5ea7\u5e7b\u706f\u7247\u4e3a\u7406\u89e3RISC-V\u67b6\u6784\u4e2d\u5355\u5468\u671f\u548c\u6d41\u6c34\u7ebf\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u6df1\u5165\u7684\u5206\u6790\uff0c\u6db5\u76d6\u4e86\u4ece\u6307\u4ee4\u6267\u884c\u7684\u57fa\u7840\u77e5\u8bc6\u5230\u9ad8\u7ea7\u6027\u80fd\u4f18\u5316\u7684\u591a\u4e2a\u65b9\u9762\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec14/","title":"Cs61c lec14","text":"<p> \u7ea6 916 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec14.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u8bfe\u7a0b\u7684\u7b2c14\u8bb2\uff0c\u7531Wawrzynek\u548cWeaver\u57282021\u5e74\u79cb\u5b63\u5b66\u671f\u8bb2\u6388\uff0c\u4e3b\u8981\u5185\u5bb9\u5305\u62ecRISC-V\u6d41\u6c34\u7ebf\u5904\u7406\u7684\u6df1\u5165\u63a2\u8ba8\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>\u8bfe\u7a0b\u56de\u987e:    - \u56de\u987e\u4e86\u63a7\u5236\u5668\u7684\u4f5c\u7528\uff0c\u6307\u4ee4\u5b9a\u65f6\uff0c\u4ee5\u53ca\u6d41\u6c34\u7ebf\u5982\u4f55\u63d0\u9ad8\u6307\u4ee4\u7684\u541e\u5410\u91cf\uff0c\u4f46\u5e76\u4e0d\u51cf\u5c11\u5b8c\u6210\u5355\u6761\u6307\u4ee4\u6240\u9700\u7684\u65f6\u95f4\u3002    - \u8ba8\u8bba\u4e86\u4e0d\u540c\u7684\u6027\u80fd\u5ea6\u91cf\u6307\u6807\uff0c\u5982\u54cd\u5e94\u65f6\u95f4\u3001\u4efb\u52a1/\u79d2\u548c\u80fd\u6548\u3002</p> </li> <li> <p>\u5904\u7406\u5668\u7ec4\u6210:    - \u4ecb\u7ecd\u4e86\u5904\u7406\u5668\u7684\u57fa\u672c\u7ec4\u6210\u90e8\u5206\uff0c\u5305\u62ec\u63a7\u5236\u5355\u5143\u3001\u6570\u636e\u8def\u5f84\u3001\u7a0b\u5e8f\u8ba1\u6570\u5668(PC)\u3001\u5bc4\u5b58\u5668\u3001\u7b97\u672f\u903b\u8f91\u5355\u5143(ALU)\u3001\u5185\u5b58\u4ee5\u53ca\u5904\u7406\u5668-\u5185\u5b58\u63a5\u53e3\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u6982\u8ff0:    - \u89e3\u91ca\u4e86\u6d41\u6c34\u7ebf\u5982\u4f55\u5e2e\u52a9\u63d0\u9ad8\u6574\u4e2a\u5de5\u4f5c\u8d1f\u8f7d\u7684\u541e\u5410\u91cf\uff0c\u800c\u4e0d\u662f\u5355\u4e2a\u4efb\u52a1\u7684\u5ef6\u8fdf\u3002    - \u8ba8\u8bba\u4e86\u6f5c\u5728\u7684\u52a0\u901f\u6bd4\uff0c\u4ee5\u53ca\u586b\u6ee1\u6d41\u6c34\u7ebf\u548c\u6392\u7a7a\u5b83\u6240\u9700\u7684\u65f6\u95f4\u5982\u4f55\u5f71\u54cd\u52a0\u901f\u6bd4\u3002</p> </li> <li> <p>RISC-V\u6d41\u6c34\u7ebf:    - \u901a\u8fc7\u793a\u4f8b\u4ee3\u7801\uff0c\u5c55\u793a\u4e86RISC-V\u6307\u4ee4\u5728\u6d41\u6c34\u7ebf\u4e2d\u7684\u6267\u884c\u8fc7\u7a0b\uff0c\u5305\u62ec\u6307\u4ee4\u83b7\u53d6\u3001\u89e3\u7801/\u5bc4\u5b58\u5668\u8bfb\u53d6\u3001ALU\u6267\u884c\u3001\u5185\u5b58\u8bbf\u95ee\u548c\u5199\u56de\u9636\u6bb5\u3002</p> </li> <li> <p>\u5355\u5468\u671fRISC-V RV32I \u6570\u636e\u8def\u5f84:    - \u63cf\u8ff0\u4e86\u5355\u5468\u671f\u6570\u636e\u8def\u5f84\u7684\u7ec4\u6210\uff0c\u5305\u62ec\u6307\u4ee4\u5185\u5b58(IMEM)\u3001ALU\u3001\u7acb\u5373\u6570\u751f\u6210\u5668(Imm. Gen)\u3001\u6570\u636e\u5185\u5b58(DMEM)\u3001\u5206\u652f\u6bd4\u8f83\u5668\u7b49\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebfRISC-V RV32I \u6570\u636e\u8def\u5f84:    - \u8be6\u7ec6\u89e3\u91ca\u4e86\u6d41\u6c34\u7ebf\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\uff0c\u5305\u62ec\u6d41\u6c34\u7ebf\u5bc4\u5b58\u5668\u5982\u4f55\u5206\u9694\u4e0d\u540c\u7684\u9636\u6bb5\uff0c\u5e76\u4fdd\u6301\u6bcf\u6761\u6307\u4ee4\u7684\u6570\u636e\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u63a7\u5236:    - \u8ba8\u8bba\u4e86\u63a7\u5236\u4fe1\u53f7\u662f\u5982\u4f55\u4ece\u6307\u4ee4\u4e2d\u6d3e\u751f\u51fa\u6765\u7684\uff0c\u4ee5\u53ca\u5982\u4f55\u5728\u6d41\u6c34\u7ebf\u7684\u5404\u4e2a\u9636\u6bb5\u4e2d\u4f7f\u7528\u6d41\u6c34\u7ebf\u5bc4\u5b58\u5668\u5b58\u50a8\u4fe1\u606f\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u6027\u80fd\u63d0\u5347:    - \u901a\u8fc7\u516c\u5f0f\u89e3\u91ca\u4e86\u6d41\u6c34\u7ebf\u5982\u4f55\u901a\u8fc7\u51cf\u5c11\u6bcf\u4e2a\u5468\u671f\u7684\u65f6\u95f4\u6765\u63d0\u9ad8\u5904\u7406\u5668\u6027\u80fd\u3002</p> </li> <li> <p>\u98ce\u9669(Hazards):    - \u4ecb\u7ecd\u4e86\u6d41\u6c34\u7ebf\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u98ce\u9669\uff0c\u5305\u62ec\u7ed3\u6784\u6027\u98ce\u9669\u3001\u6570\u636e\u98ce\u9669\u548c\u63a7\u5236\u98ce\u9669\uff0c\u5e76\u8ba8\u8bba\u4e86\u5982\u4f55\u5904\u7406\u8fd9\u4e9b\u98ce\u9669\u3002</p> </li> <li> <p>\u7ed3\u6784\u6027\u98ce\u9669:</p> <ul> <li>\u89e3\u91ca\u4e86\u5f53\u6d41\u6c34\u7ebf\u4e2d\u7684\u591a\u6761\u6307\u4ee4\u7ade\u4e89\u5355\u4e00\u7269\u7406\u8d44\u6e90\u65f6\u51fa\u73b0\u7684\u95ee\u9898\uff0c\u4ee5\u53ca\u5982\u4f55\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u3002</li> </ul> </li> <li> <p>\u6570\u636e\u98ce\u9669:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5f53\u6307\u4ee4\u4f9d\u8d56\u4e8e\u524d\u4e00\u6761\u6307\u4ee4\u7684\u7ed3\u679c\u65f6\u5982\u4f55\u5904\u7406\uff0c\u5305\u62ec\u6682\u505c(Stalling)\u548c\u8f6c\u53d1(Forwarding)\u6280\u672f\u3002</li> </ul> </li> <li> <p>\u63a7\u5236\u98ce\u9669:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5206\u652f\u6307\u4ee4\u5982\u4f55\u5904\u7406\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u5206\u652f\u9884\u6d4b\u6765\u51cf\u5c11\u5206\u652f\u6307\u4ee4\u5e26\u6765\u7684\u6027\u80fd\u635f\u5931\u3002</li> </ul> </li> <li> <p>\u8d85\u6807\u91cf\u5904\u7406\u5668(Superscalar processors):</p> <ul> <li>\u4ecb\u7ecd\u4e86\u8d85\u6807\u91cf\u5904\u7406\u5668\u7684\u6982\u5ff5\uff0c\u5305\u62ec\u590d\u5236\u6d41\u6c34\u7ebf\u9636\u6bb5\u4ee5\u542f\u52a8\u591a\u4e2a\u6307\u4ee4\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6307\u4ee4\u7ea7\u5e76\u884c\u6027\u6765\u63d0\u9ad8\u6027\u80fd\u3002</li> </ul> </li> <li> <p>\u6027\u80fd\u63d0\u5347\u7b56\u7565:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63d0\u9ad8\u5355\u5904\u7406\u5668\u6838\u5fc3\u6027\u80fd\u7684\u7b56\u7565\uff0c\u5305\u62ec\u63d0\u9ad8\u65f6\u949f\u9891\u7387\u3001\u6d41\u6c34\u7ebf\u6df1\u5ea6\u548c\u8d85\u6807\u91cf\u6267\u884c\u3002</li> </ul> </li> <li> <p>\u591a\u6838\u5904\u7406\u5668:</p> <ul> <li>\u8ba8\u8bba\u4e86\u591a\u6838\u5904\u7406\u5668\u7684\u6982\u5ff5\uff0c\u4ee5\u53ca\u5982\u4f55\u5728\u4e0d\u9700\u8981\u7edd\u5bf9\u6027\u80fd\u65f6\uff0c\u5728\u80fd\u6548\u4f18\u5316\u7684\u6838\u5fc3\u4e0a\u8fd0\u884c\u4efb\u52a1\u3002</li> </ul> </li> <li> <p>\u6d41\u6c34\u7ebf\u4e0eISA\u8bbe\u8ba1:</p> <ul> <li>\u8ba8\u8bba\u4e86RISC-V ISA\u5982\u4f55\u4e3a\u6d41\u6c34\u7ebf\u8bbe\u8ba1\uff0c\u4ee5\u53ca\u5b83\u4e0ex86\u67b6\u6784\u7684\u5bf9\u6bd4\u3002</li> </ul> </li> <li> <p>\u7ed3\u8bba:</p> <ul> <li>\u603b\u7ed3\u4e86\u6d41\u6c34\u7ebf\u901a\u8fc7\u91cd\u53e0\u591a\u6761\u6307\u4ee4\u7684\u6267\u884c\u6765\u63d0\u9ad8\u541e\u5410\u91cf\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u7a0b\u5e8f\u5458/\u7f16\u8bd1\u5668\u7684\u5e2e\u52a9\u6765\u6700\u5927\u5316\u6027\u80fd\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4efd\u8bb2\u5ea7\u5e7b\u706f\u7247\u4e3a\u7406\u89e3RISC-V\u6d41\u6c34\u7ebf\u5904\u7406\u5668\u7684\u8bbe\u8ba1\u548c\u6027\u80fd\u4f18\u5316\u63d0\u4f9b\u4e86\u6df1\u5165\u7684\u5206\u6790\uff0c\u6db5\u76d6\u4e86\u4ece\u57fa\u672c\u6982\u5ff5\u5230\u9ad8\u7ea7\u6280\u672f\u591a\u4e2a\u65b9\u9762\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec15/","title":"Cs61c lec15","text":"<p> \u7ea6 918 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec15.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531McMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u8ba8\u8bba\u4e86\u8ba1\u7b97\u673a\u7f13\u5b58\uff08Caches\uff09\u7684\u6982\u5ff5\u3001\u5de5\u4f5c\u539f\u7406\u4ee5\u53ca\u5b83\u4eec\u5728\u73b0\u4ee3\u8ba1\u7b97\u673a\u67b6\u6784\u4e2d\u7684\u91cd\u8981\u6027\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>\u8ba1\u7b97\u673a\u7ec4\u6210\u90e8\u5206:    - \u4ecb\u7ecd\u4e86\u8ba1\u7b97\u673a\u7684\u57fa\u672c\u7ec4\u6210\u90e8\u5206\uff0c\u5305\u62ec\u5904\u7406\u5668\u3001\u63a7\u5236\u5355\u5143\u3001\u6570\u636e\u8def\u5f84\u3001\u7a0b\u5e8f\u8ba1\u6570\u5668\uff08PC\uff09\u3001\u5bc4\u5b58\u5668\u3001\u7b97\u672f\u903b\u8f91\u5355\u5143\uff08ALU\uff09\u3001\u5185\u5b58\u4ee5\u53ca\u8f93\u5165/\u8f93\u51fa\u63a5\u53e3\u3002</p> </li> <li> <p>\u5904\u7406\u5668\u4e0eDRAM\u5ef6\u8fdf\u5dee\u8ddd:    - \u8ba8\u8bba\u4e86\u5904\u7406\u5668\u4e0e\u52a8\u6001\u968f\u673a\u5b58\u53d6\u5b58\u50a8\u5668\uff08DRAM\uff09\u4e4b\u95f4\u7684\u8bbf\u95ee\u901f\u5ea6\u5dee\u5f02\uff0c\u4ee5\u53ca\u8fd9\u79cd\u5dee\u5f02\u5bf9CPU\u6027\u80fd\u7684\u6f5c\u5728\u5f71\u54cd\u3002</p> </li> <li> <p>\u56fe\u4e66\u9986\u7c7b\u6bd4:    - \u4f7f\u7528\u56fe\u4e66\u9986\u627e\u4e66\u7684\u7c7b\u6bd4\u6765\u89e3\u91ca\u7f13\u5b58\u7684\u6982\u5ff5\uff0c\u8bf4\u660e\u4e86\u5728\u5927\u56fe\u4e66\u9986\u4e2d\u67e5\u627e\u4e66\u7c4d\u7684\u65f6\u95f4\u5ef6\u8fdf\u95ee\u9898\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u5728\u684c\u9762\u4e0a\u4fdd\u7559\u4e00\u4e9b\u4e66\u7c4d\u6765\u51cf\u5c11\u67e5\u627e\u65f6\u95f4\u3002</p> </li> <li> <p>\u5185\u5b58\u7f13\u5b58:    - \u4ecb\u7ecd\u4e86\u5185\u5b58\u7f13\u5b58\u7684\u6982\u5ff5\uff0c\u5305\u62ec\u5b83\u7684\u529f\u80fd\u3001\u901a\u5e38\u4f4d\u4e8eCPU\u540c\u4e00\u82af\u7247\u4e0a\u7684\u7279\u70b9\uff0c\u4ee5\u53ca\u5b83\u6bd4DRAM\u66f4\u5feb\u4f46\u66f4\u6602\u8d35\u7684\u539f\u56e0\u3002</p> </li> <li> <p>\u5185\u5b58\u5c42\u6b21\u7ed3\u6784:    - \u63cf\u8ff0\u4e86\u4ece\u5bc4\u5b58\u5668\u5230\u7f13\u5b58\u3001\u4e3b\u5185\u5b58\u3001\u78c1\u76d8\u7684\u5185\u5b58\u5c42\u6b21\u7ed3\u6784\uff0c\u4ee5\u53ca\u6bcf\u4e2a\u5c42\u6b21\u7684\u7279\u70b9\uff0c\u5982\u5927\u5c0f\u3001\u901f\u5ea6\u548c\u6210\u672c\u3002</p> </li> <li> <p>\u7f13\u5b58\u539f\u7406:    - \u89e3\u91ca\u4e86\u7f13\u5b58\u5de5\u4f5c\u7684\u4e24\u4e2a\u57fa\u672c\u539f\u5219:\u65f6\u95f4\u5c40\u90e8\u6027\uff08Temporal Locality\uff09\u548c\u7a7a\u95f4\u5c40\u90e8\u6027\uff08Spatial Locality\uff09\u3002</p> </li> <li> <p>\u5229\u7528\u5c40\u90e8\u6027:    - \u8fdb\u4e00\u6b65\u8ba8\u8bba\u4e86\u5982\u4f55\u901a\u8fc7\u65f6\u95f4\u5c40\u90e8\u6027\u548c\u7a7a\u95f4\u5c40\u90e8\u6027\u6765\u4f18\u5316\u7f13\u5b58\u6027\u80fd\u3002</p> </li> <li> <p>\u6dfb\u52a0\u7f13\u5b58\u5230\u8ba1\u7b97\u673a:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u8ba1\u7b97\u673a\u67b6\u6784\u4e2d\u6dfb\u52a0\u7f13\u5b58\uff0c\u5e76\u8ba8\u8bba\u4e86\u5b83\u5982\u4f55\u4e0e\u5904\u7406\u5668\u548c\u5185\u5b58\u4ea4\u4e92\u3002</p> </li> <li> <p>\u5185\u5b58\u5f15\u7528\u6a21\u5f0f:    - \u901a\u8fc7\u56fe\u5f62\u5c55\u793a\u4e86\u826f\u597d\u7684\u5185\u5b58\u5f15\u7528\u6a21\u5f0f\uff0c\u5305\u62ec\u6307\u4ee4\u83b7\u53d6\u3001\u6808\u8bbf\u95ee\u3001\u6570\u636e\u8bbf\u95ee\u7b49\u3002</p> </li> <li> <p>\u6ca1\u6709\u7f13\u5b58\u7684\u5185\u5b58\u8bbf\u95ee:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5728\u6ca1\u6709\u7f13\u5b58\u7684\u60c5\u51b5\u4e0b\uff0c\u5904\u7406\u5668\u5982\u4f55\u901a\u8fc7\u5185\u5b58\u5730\u5740\u6765\u52a0\u8f7d\u6570\u636e\u3002</li> </ul> </li> <li> <p>\u6709\u7f13\u5b58\u7684\u5185\u5b58\u8bbf\u95ee:</p> <ul> <li>\u8be6\u7ec6\u89e3\u91ca\u4e86\u5f53\u7f13\u5b58\u4ecb\u5165\u65f6\uff0c\u5185\u5b58\u8bbf\u95ee\u7684\u8fc7\u7a0b\uff0c\u5305\u62ec\u7f13\u5b58\u547d\u4e2d\u548c\u7f13\u5b58\u672a\u547d\u4e2d\u7684\u60c5\u51b5\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u547d\u4e2d\u4e0e\u7f13\u5b58\u672a\u547d\u4e2d:</p> <ul> <li>\u5bf9\u6bd4\u4e86\u7f13\u5b58\u547d\u4e2d\u548c\u672a\u547d\u4e2d\u65f6\u7684\u5904\u7406\u8fc7\u7a0b\uff0c\u4ee5\u53ca\u5b83\u4eec\u5bf9\u6027\u80fd\u7684\u5f71\u54cd\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u5b58\u50a8\u65b9\u5f0f:</p> <ul> <li>\u4ecb\u7ecd\u4e86\u7f13\u5b58\u4e2d\u7684\u4e09\u79cd\u6570\u636e\u5b58\u50a8\u65b9\u5f0f:\u5168\u5173\u8054\uff08Fully Associative\uff09\u3001\u76f4\u63a5\u6620\u5c04\uff08Direct Mapped\uff09\u548c\u96c6\u5408\u5173\u8054\uff08Set-Associative\uff09\u3002</li> </ul> </li> <li> <p>\u5168\u5173\u8054\u7f13\u5b58:</p> <ul> <li>\u8be6\u7ec6\u8ba8\u8bba\u4e86\u5168\u5173\u8054\u7f13\u5b58\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u5305\u62ec\u6807\u7b7e\uff08Tag\uff09\u3001\u6570\u636e\uff08Data\uff09\u3001\u6709\u6548\u4f4d\uff08Valid Bit\uff09\u548c\u6700\u8fd1\u6700\u5c11\u4f7f\u7528\uff08LRU\uff09\u66ff\u6362\u7b56\u7565\u3002</li> </ul> </li> <li> <p>\u76f4\u63a5\u6620\u5c04\u7f13\u5b58:</p> <ul> <li>\u89e3\u91ca\u4e86\u76f4\u63a5\u6620\u5c04\u7f13\u5b58\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u5305\u62ec\u5b83\u7684\u5730\u5740\u5206\u89e3\u548c\u786c\u4ef6\u5b9e\u73b0\u3002</li> </ul> </li> <li> <p>\u96c6\u5408\u5173\u8054\u7f13\u5b58:</p> <ul> <li>\u8ba8\u8bba\u4e86\u96c6\u5408\u5173\u8054\u7f13\u5b58\u4f5c\u4e3a\u5168\u5173\u8054\u548c\u76f4\u63a5\u6620\u5c04\u7f13\u5b58\u4e4b\u95f4\u7684\u6298\u8877\u65b9\u6848\uff0c\u4ee5\u53ca\u5b83\u7684\u5de5\u4f5c\u539f\u7406\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u66ff\u6362\u7b56\u7565:</p> <ul> <li>\u4ecb\u7ecd\u4e86\u4e0d\u540c\u7684\u7f13\u5b58\u66ff\u6362\u7b56\u7565\uff0c\u5982\u6700\u8fd1\u6700\u5c11\u4f7f\u7528\uff08LRU\uff09\u548c\u6700\u4e0d\u5e38\u7528\uff08LFU\uff09\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u4e00\u81f4\u6027:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5728\u5b58\u50a8\u6307\u4ee4\u6539\u53d8\u5185\u5b58\u503c\u65f6\uff0c\u5982\u4f55\u786e\u4fdd\u7f13\u5b58\u548c\u5185\u5b58\u4e4b\u95f4\u7684\u4fe1\u606f\u4e00\u81f4\u6027\u3002</li> </ul> </li> <li> <p>\u5199\u5165\u7b56\u7565:</p> <ul> <li>\u5bf9\u6bd4\u4e86\u5199\u901a\u8fc7\uff08Write-through\uff09\u548c\u5199\u56de\uff08Write-back\uff09\u4e24\u79cd\u7f13\u5b58\u5199\u5165\u7b56\u7565\u3002</li> </ul> </li> <li> <p>\u4e0b\u8282\u8bfe\u9884\u544a:</p> <ul> <li>\u9884\u544a\u4e86\u4e0b\u4e00\u8282\u8bfe\u7684\u5185\u5bb9\uff0c\u5305\u62ec\u7f13\u5b58\u6027\u80fd\u3001\u591a\u7ea7\u7f13\u5b58\u7b49\u4e3b\u9898\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e2a\u8bb2\u5ea7\u63d0\u4f9b\u4e86\u5bf9\u8ba1\u7b97\u673a\u7f13\u5b58\u7cfb\u7edf\u7684\u5168\u9762\u7406\u89e3\uff0c\u5305\u62ec\u5b83\u4eec\u7684\u8bbe\u8ba1\u3001\u5de5\u4f5c\u539f\u7406\u4ee5\u53ca\u5728\u63d0\u5347\u8ba1\u7b97\u673a\u6027\u80fd\u65b9\u9762\u7684\u4f5c\u7528\u3002</p>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/","title":"\u8df3\u8f6c\u548c\u8fd4\u56de\u7684\u51fd\u6570","text":"<p>\u5728\u6c47\u7f16\u8bed\u8a00\u4e2d\uff0c\u8df3\u8f6c\u548c\u8fd4\u56de\u662f\u63a7\u5236\u7a0b\u5e8f\u6d41\u7a0b\u7684\u57fa\u672c\u673a\u5236\uff0c\u5c24\u5176\u662f\u5728\u51fd\u6570\u8c03\u7528\u548c\u5b50\u7a0b\u5e8f\u6267\u884c\u4e2d\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u8be6\u7ec6\u7684\u89e3\u91ca\u548c\u4f8b\u5b50\uff1a</p>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/#jal-jalr","title":"\u8df3\u8f6c\u6307\u4ee4\uff08<code>jal</code> \u548c <code>jalr</code>\uff09","text":"<ol> <li> <p><code>jal</code> - Jump-and-link:    - \u8fd9\u4e2a\u6307\u4ee4\u7528\u4e8e\u65e0\u6761\u4ef6\u8df3\u8f6c\u5230\u7a0b\u5e8f\u7684\u53e6\u4e00\u4e2a\u4f4d\u7f6e\uff0c\u5e76\u4e14\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230\u5bc4\u5b58\u5668\u4e2d\u3002\u901a\u5e38\uff0c\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5728<code>ra</code>\uff08\u8fd4\u56de\u5730\u5740\u5bc4\u5b58\u5668\uff09\u4e2d\u3002    - \u683c\u5f0f\uff1a<code>jal rd, label</code>    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jal ra, func     # \u8c03\u7528func\u51fd\u6570\uff0c\u5e76\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230ra\n</code></pre></p> </li> <li> <p><code>jalr</code> - Jump-and-link-register:    - \u8fd9\u4e2a\u6307\u4ee4\u7528\u4e8e\u6839\u636e\u5bc4\u5b58\u5668\u7684\u503c\u8df3\u8f6c\u5230\u4e00\u4e2a\u5730\u5740\uff0c\u5e76\u5c06\u8df3\u8f6c\u524d\u7684\u5bc4\u5b58\u5668\u503c\u4fdd\u5b58\u5230\u53e6\u4e00\u4e2a\u5bc4\u5b58\u5668\u3002\u5f53<code>imm</code>\uff08\u7acb\u5373\u6570\uff09\u4e3a0\u65f6\uff0c\u5b83\u53ef\u4ee5\u7528\u4e8e\u5b9e\u73b0\u51fd\u6570\u8fd4\u56de\u3002    - \u683c\u5f0f\uff1a<code>jalr rd, rs, imm</code>    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jalr x0, ra, 0   # \u4ecera\u5bc4\u5b58\u5668\u8df3\u8f6c\uff0c\u5e76\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230x0\uff08\u901a\u5e38x0\u59cb\u7ec8\u4e3a0\uff09\n</code></pre></p> </li> </ol>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/#jr-ret","title":"\u8fd4\u56de\u6307\u4ee4\uff08<code>jr</code> \u548c <code>ret</code>\uff09","text":"<ol> <li> <p><code>jr</code> - Jump-register:    - \u8fd9\u4e2a\u6307\u4ee4\u7528\u4e8e\u6839\u636e\u5bc4\u5b58\u5668\u7684\u503c\u8df3\u8f6c\u5230\u7a0b\u5e8f\u7684\u53e6\u4e00\u4e2a\u4f4d\u7f6e\u3002\u5b83\u4e0d\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\uff0c\u56e0\u6b64\u4e0d\u80fd\u76f4\u63a5\u7528\u4e8e\u51fd\u6570\u8fd4\u56de\u3002    - \u683c\u5f0f\uff1a<code>jr rs</code>    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jr ra            # \u8df3\u8f6c\u5230ra\u5bc4\u5b58\u5668\u6307\u5411\u7684\u5730\u5740\n</code></pre></p> </li> <li> <p><code>ret</code>:    - <code>ret</code>\u4e0d\u662f\u4e00\u4e2a\u72ec\u7acb\u7684\u6c47\u7f16\u6307\u4ee4\uff0c\u800c\u662f<code>jalr</code>\u7684\u4e00\u79cd\u7279\u6b8a\u7528\u6cd5\uff0c\u7528\u4e8e\u4ece\u51fd\u6570\u8c03\u7528\u8fd4\u56de\u3002\u5b83\u901a\u8fc7\u5c06<code>jalr</code>\u7684<code>rd</code>\u8bbe\u7f6e\u4e3a\u76ee\u6807\u5bc4\u5b58\u5668\uff08\u901a\u5e38\u662f<code>zero</code>\u6216<code>x0</code>\uff09\uff0c<code>rs</code>\u8bbe\u7f6e\u4e3a\u5305\u542b\u8fd4\u56de\u5730\u5740\u7684\u5bc4\u5b58\u5668\uff08\u901a\u5e38\u662f<code>ra</code>\uff09\uff0c<code>imm</code>\u8bbe\u7f6e\u4e3a0\u6765\u5b9e\u73b0\u3002    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jalr x0, ra, 0  # \u7b49\u540c\u4e8eret\u6307\u4ee4\uff0c\u4ecera\u8fd4\u56de\uff0c\u4e0d\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\u5230\u4efb\u4f55\u5730\u65b9\n</code></pre></p> </li> </ol>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/#_1","title":"\u51fd\u6570\u8c03\u7528\u548c\u8fd4\u56de\u7684\u4f8b\u5b50","text":"<p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u7b80\u5355\u7684\u51fd\u6570\u8c03\u7528\u548c\u8fd4\u56de\u6d41\u7a0b\uff1a</p> Text Only<pre><code># \u51fd\u6570\u5b9a\u4e49\n&lt;div markdown=\"1\" style=\"margin-top: -30px; font-size: 0.75em; opacity: 0.7;\"&gt;\n:material-circle-edit-outline: \u7ea6 466 \u4e2a\u5b57 :fontawesome-solid-code: 27 \u884c\u4ee3\u7801 :material-clock-time-two-outline: \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f\n&lt;/div&gt;\nfunc:\n    # \u51fd\u6570\u4f53\u7684\u4ee3\u7801\n    # ...\n\n    # \u8fd4\u56de\u8bed\u53e5\n    ret\n\n# \u4e3b\u7a0b\u5e8f\nmain:\n    # \u4fdd\u5b58\u8fd4\u56de\u5730\u5740\u5230ra\n    addi sp, sp, -4    # \u4e3a\u8fd4\u56de\u5730\u5740\u5206\u914d\u6808\u7a7a\u95f4\n    sw ra, 0(sp)       # \u5c06ra\u5b58\u50a8\u5230\u6808\u4e0a\n\n    # \u8c03\u7528\u51fd\u6570\n    jal ra, func\n\n    # \u6062\u590d\u8fd4\u56de\u5730\u5740\n    lw ra, 0(sp)       # \u4ece\u6808\u4e0a\u52a0\u8f7d\u8fd4\u56de\u5730\u5740\u5230ra\n    addi sp, sp, 4    # \u6062\u590d\u6808\u6307\u9488\n\n    # \u4e3b\u7a0b\u5e8f\u7ee7\u7eed\u6267\u884c\n    # ...\n</code></pre> <p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>func</code>\u662f\u4e00\u4e2a\u51fd\u6570\uff0c\u5b83\u4f7f\u7528<code>ret</code>\u6307\u4ee4\u6765\u8fd4\u56de\u5230\u8c03\u7528\u5b83\u7684\u4ee3\u7801\u3002\u5728\u4e3b\u7a0b\u5e8f\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230\u6808\u4e0a\uff0c\u7136\u540e\u8c03\u7528<code>func</code>\u51fd\u6570\u3002\u8c03\u7528\u5b8c\u6210\u540e\uff0c\u6211\u4eec\u4ece\u6808\u4e0a\u6062\u590d\u8fd4\u56de\u5730\u5740\uff0c\u5e76\u7ee7\u7eed\u6267\u884c\u4e3b\u7a0b\u5e8f\u3002</p> <p>\u8bf7\u6ce8\u610f\uff0c\u5177\u4f53\u7684\u6c47\u7f16\u8bed\u6cd5\u53ef\u80fd\u56e0\u4e0d\u540c\u7684\u67b6\u6784\u548c\u6c47\u7f16\u5668\u800c\u5f02\uff0c\u4e0a\u8ff0\u4f8b\u5b50\u4ec5\u4f9b\u53c2\u8003\u3002</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/","title":"\u8ba1\u7b97\u673a\u7f51\u7edc\u5b89\u5168\u57fa\u7840","text":"<p> \u7ea6 368 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/#_1","title":"\u5e38\u89c1\u7684\u5bc6\u7801\u7b97\u6cd5","text":"<ul> <li>\u54c8\u5e0c\u7b97\u6cd5\uff08\u5982MD5,SHA256\uff09</li> <li>\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5 \uff08\u5982AES,DES\uff09</li> <li>\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5 \uff08\u5982RSA\uff09</li> </ul> <p>[[\u52a0\u5bc6\u539f\u7406]]</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/#_2","title":"\u5f31\u53e3\u4ee4","text":"<ol> <li>\u8f83\u77ed\u7684\u5bc6\u7801</li> <li>\u6613\u88ab\u731c\u6d4b\u6216\u4fe1\u9053\u653b\u51fb\u7684\u5bc6\u7801 - \u98ce\u9669<ul> <li>ssh\u4e2d\u5982\u679c\u8bbe\u7f6e\u4e86password\u8ba4\u8bc1\u4e14\u8bbe\u7f6e\u5f31\u53e3\u4ee4\uff0c\u5c06\u4f1a\u5bfc\u81f4\u670d\u52a1\u5668\u88ab\u672a\u7ecf\u6388\u6743\u767b\u5f55\uff0c\u4e14\u653b\u51fb\u8005\u53ef\u4ee5\u8fdb\u884c\u4e0e\u4f60\u540c\u6743\u9650\u7684\u4efb\u610f\u64cd\u4f5c</li> <li>\u65e0\u7ebf\u5c40\u57df\u7f51\u4e2d\u5982\u679c\u8bbe\u7f6e\u4e86\u5f31\u53e3\u4ee4\u88ab\u731c\u6d4b\u6210\u529f\u540e\uff0c\u653b\u51fb\u8005\u5c06\u53ef\u4ee5\u8fdb\u5165\u5c40\u57df\u7f51\u4e2d\u5bf9\u5c40\u57df\u7f51\u5176\u4ed6\u8bbe\u5907\u8fdb\u884c\u653b\u51fb</li> <li>\u9632\u8303\u65b9\u5f0f</li> <li>\u91c7\u7528\u5176\u4ed6\u66f4\u4e3a\u5b89\u5168\u7684\u8eab\u4efd\u8ba4\u8bc1\u65b9\u6cd5\uff08\u5982ssh\u4e2d\u91c7\u7528publickey\u8ba4\u8bc1\uff09</li> <li>\u8bbe\u7f6e\u968f\u673a\u5b57\u7b26\u4e32\u4f5c\u4e3a\u5bc6\u7801\uff0c\u5e76\u4e14\u957f\u5ea6\u8d85\u8fc78\u4f4d</li> </ul> </li> </ol>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/#ip","title":"\u516c\u7f51 IP","text":"<ul> <li>\u6211\u4eec\u5e0c\u671b\u4ece\u4efb\u610f\u63a5\u5165\u4e92\u8054\u7f51\u7684\u5730\u65b9\u4f7f\u7528ssh\u8fde\u63a5\u5230\u670d\u52a1\u5668\uff0c\u4e00\u4e2a\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u8ba9\u670d\u52a1\u5668\u62e5\u6709\u4e00\u4e2a\u516c\u7f51IP\u5e76\u8fd0\u884csshd\u670d\u52a1\u3002</li> <li>\u5e38\u89c1\u7684\u653b\u51fb\u65b9\u5f0f<ol> <li>\u626b\u63cf\u5f00\u653e\u7aef\u53e3\u4fe1\u606f\uff0c\u5e76\u786e\u5b9a\u7aef\u53e3\u4e0a\u8fd0\u884c\u7684\u670d\u52a1</li> <li>\u5bf9\u53ef\u80fd\u5b58\u5728\u7684\u670d\u52a1\u8fdb\u884c\u653b\u51fb\uff0c\u5c1d\u8bd5\u5229\u7528\u670d\u52a1\u7684\u6f0f\u6d1e\uff08\u5982\u5f31\u53e3\u4ee4\uff09\u83b7\u53d6\u670d\u52a1\u5668\u7684\u8bbf\u95ee\u6743\u9650</li> </ol> </li> <li>\u5e38\u89c1\u7684\u9632\u8303\u65b9\u5f0f<ul> <li>\u4f7f\u7528\u9632\u706b\u5899\u3002\u914d\u7f6e\u9632\u706b\u5899\u89c4\u5219\uff0c\u4ec5\u5141\u8bb8\u5fc5\u8981\u7684\u670d\u52a1\u548c\u7aef\u53e3\u5bf9\u5916\u5f00\u653e\u3002</li> <li>\u5ba1\u67e5\u5f00\u653e\u7684\u670d\u52a1\u7684\u5b89\u5168\u6027\u3002\u786e\u4fdd\u5f53\u524d\u4e3b\u673a\u5f00\u653e\u7684\u6240\u6709\u670d\u52a1\u5747\u662f\u5b89\u5168\u7684\u3002</li> </ul> </li> </ul>"},{"location":"Environment/Ubuntu%E9%85%8D%E7%BD%AE/","title":"Ubuntu\u914d\u7f6e","text":"<p> \u7ea6 74 \u4e2a\u5b57  14 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>\u5728 Ubuntu \u5b89\u88c5\u914d\u7f6e Fcitx 5 \u4e2d\u6587\u8f93\u5165\u6cd5 - muzing\u7684\u6742\u8d27\u94fa</li> <li>fcitx5-rime \u6302\u63a5\u5c0f\u9e64\u97f3\u5f62 | rovo98's Blog</li> <li>zhuanlan.zhihu.com/p/660191327#:~:text=Tabby\uff08\u4ee5\u524d\u79f0\u4e3a</li> <li>Zsh \u5b89\u88c5\u4e0e\u914d\u7f6e\uff0c\u4f7f\u7528 Oh-My-Zsh \u7f8e\u5316\u7ec8\u7aef | Leehow\u7684\u5c0f\u7ad9</li> <li>zhuanlan.zhihu.com/p/658811059</li> <li>PKMer_TiddyWiki \u7b80\u6613\u6307\u5357</li> <li>Site Unreachable</li> <li>Jedsek | Blog</li> </ul> Bash<pre><code>visudo /etc/sudoers \n%sudo   ALL=(ALL:ALL) NOPASSWD: ALL\n</code></pre> Bash<pre><code>git clone https://github.com/zsh-users/zsh-syntax-highlighting.git ${ZSH_CUSTOM:-~/.oh-my-zsh/custom}/plugins/zsh-syntax-highlighting\n\ngit clone https://github.com/zsh-users/zsh-autosuggestions ${ZSH_CUSTOM:-~/.oh-my-zsh/custom}/plugins/zsh-autosuggestions\n\ngit clone git://github.com/joelthelion/autojump.git\ncd autojump\n./install.py\n\n[[ -s ~/.autojump/etc/profile.d/autojump.sh ]] &amp;&amp; . ~/.autojump/etc/profile.d/autojump.sh\n</code></pre> <ul> <li>\u622a\u56fe\u8f6f\u4ef6</li> </ul> Bash<pre><code>sudo apt-get install flameshot\nflameshot gui\n</code></pre> <ul> <li>\u5728 Ubuntu 22.04|20.04|18.04 \u4e0a\u5b89\u88c5 Node.js 20</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/","title":"obsidian \u914d\u7f6e","text":"<p> \u7ea6 145 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#1","title":"1 \u4f7f\u7528\u8bed\u8a00","text":"<ul> <li>\u4e3b\u8981\u662f Markdown</li> <li>\u914d\u7f6e\u63d2\u4ef6\u4e5f\u4f1a\u6d89\u53ca\u4e00\u4e9b javascript</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#2","title":"2 \u63d2\u4ef6","text":""},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#21-displaystyle-latex","title":"2.1 \\(\\displaystyle \\LaTeX\\)","text":"<ul> <li>Latex Suite</li> <li>LaTex-like Theorem &amp; Equation Referencer</li> <li>MathLinks  </li> </ul> <p>\u642d\u914d simpleTex \u4f7f\u7528</p>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#22","title":"2.2 \u7f16\u8f91\u589e\u5f3a","text":"<ul> <li>Easy Typing</li> <li>Linter</li> <li>Remember cursor position</li> <li>PDF++</li> <li>Code Styler</li> <li>Number Headings</li> <li>Outliner</li> <li>Completr</li> <li>Mind map</li> <li>Excalidraw</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#23","title":"2.3 \u56fe\u7247","text":"<ul> <li>Paste image rename</li> <li>Auto Link Title</li> <li>Image auto upload Plugin</li> </ul> <p>\u642d\u914d Picgo + GitHub \u4f7f\u7528</p>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#24","title":"2.4 \u540c\u6b65\u5907\u4efd","text":"<ul> <li>Git</li> <li>Remotely Save</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#25","title":"2.5 \u65e5\u7a0b","text":"<ul> <li>Calendar</li> <li>Periodic Notes</li> <li>Tasks Progress Bar</li> <li>Tasks</li> <li>Tasks Calendar Wrapper</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#26","title":"2.6 \u4ecd\u5728\u63a2\u7d22","text":"<ul> <li>Local REST API + \u7b80\u7ea6</li> <li>RSS Reader</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#3","title":"3 \u76f8\u5173\u94fe\u63a5","text":"<ul> <li>PKMer_PKMer</li> <li>Obsidian \u4e2d\u6587\u8bba\u575b - Obsidian \u77e5\u8bc6\u7ba1\u7406 \u7b14\u8bb0</li> <li>Obsidian\u6587\u6863\u5496\u5561\u8c46\u7248 | Obsidian Docs by CoffeeBean</li> <li>zhuanlan.zhihu.com/p/619960525</li> </ul>"},{"location":"Environment/%E5%BC%80%E5%8F%91%E7%8E%AF%E5%A2%83%E9%85%8D%E7%BD%AE/","title":"\u5f00\u53d1\u73af\u5883\u914d\u7f6e","text":"<p> \u7ea6 227 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <ul> <li>\u5f00\u53d1\u73af\u5883\u6784\u5efa\u6307\u5357 </li> <li>\u4ece\u96f6\u5f00\u59cb\u914d\u7f6e Windows \u2022 Arthals' ink </li> <li>\u4ece\u96f6\u5f00\u59cb\u914d\u7f6e Linux \u2022 Arthals' ink </li> <li>\u670d\u52a1\u5668\u73af\u5883\u914d\u7f6e Cheat Sheet | Yi Pan (Conless) </li> <li>clash </li> <li>powertoy </li> <li>gsudo </li> <li>git <ul> <li>GitHub - Wybxc/git-remake-guide: Git \u91cd\u5f00/\u91cd\u5b66\u6307\u5357 </li> </ul> </li> <li>picgo <ul> <li>picgo + github + obsidian </li> </ul> </li> <li>vscode<ul> <li>\u7cfb\u7edf + \u4ee3\u7801\u5b57\u4f53\u8bbe\u7f6e</li> <li>zhuanlan.zhihu.com/p/603687041#:~:text=clangd\u5b98\u65b9vs</li> <li>zhuanlan.zhihu.com/p/398790625#:~:text=\u5176\u4e2d VS Code</li> </ul> </li> <li>tools<ul> <li>GitHub - jenius-apps/ambie: An app that uses white noise, nature sounds, and focus features to boost your productivity. </li> </ul> </li> <li>clash <ul> <li>GitHub - Loyalsoldier/clash-rules: \ud83e\udd84\ufe0f\ud83c\udf83\ud83d\udc7b Clash Premium \u89c4\u5219\u96c6(RULE-SET)\uff0c\u517c\u5bb9 ClashX Pro\u3001Clash for Windows \u7b49\u57fa\u4e8e Clash Premium \u5185\u6838\u7684\u5ba2\u6237\u7aef\u3002 </li> <li>Site Unreachable </li> <li>\u7ffb\u5899 | Blog</li> <li>GitHub - vpncn/vpncn.github.io: 2024\u4e2d\u56fd\u7ffb\u5899\u8f6f\u4ef6VPN\u63a8\u8350\u4ee5\u53ca\u79d1\u5b66\u4e0a\u7f51\u907f\u5751\uff0c\u7a33\u5b9a\u597d\u7528\u3002\u5bf9\u6bd4SSR\u673a\u573a\u3001\u84dd\u706f\u3001V2ray\u3001\u8001\u738bVPN\u3001VPS\u642d\u5efa\u68af\u5b50\u7b49\u79d1\u5b66\u4e0a\u7f51\u4e0e\u7ffb\u5899\u8f6f\u4ef6\uff0c\u4e2d\u56fd\u6700\u65b0\u79d1\u5b66\u4e0a\u7f51\u7ffb\u5899\u68af\u5b50VPN\u4e0b\u8f7d\u63a8\u8350\uff0c\u8bbf\u95eeChatgpt\u3002 </li> </ul> </li> <li>Typora <ul> <li>GitHub - sylviaxgj/typora-forest-theme: another typora theme</li> <li>GitHub - HappySimple/Typora-theme-Happysimple: \u4e00\u6b3e\u81ea\u5236\u7684Markdown\u4e3b\u9898\uff01</li> </ul> </li> <li>github profiles <ul> <li>GitHub - anuraghazra/github-readme-stats:  Dynamically generated stats for your github readmes </li> </ul> </li> <li>github action </li> <li>gsudo</li> <li>openArk</li> </ul>"},{"location":"Robot/pnp/","title":"pnp","text":"<p> \u7ea6 79 \u4e2a\u5b57  55 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <ul> <li>\u5df2\u77e5<ul> <li>\u76ee\u6807\u7269\u4f53\u7279\u5b9a\u70b9\u7684\u50cf\u7d20\u5750\u6807</li> <li>\u76ee\u6807\u7269\u4f53\u7279\u5b9a\u70b9\u7684\u771f\u5b9e\u5c3a\u5bf8</li> <li>\u76f8\u673a\u5185\u53c2</li> </ul> </li> <li>\u6c42<ul> <li>\u76ee\u6807\u7269\u4f53\u5728\u76f8\u673a\u5750\u6807\u7cfb\u4e0b\u7684 6d pose</li> </ul> </li> </ul> <p>\u50cf\u7d20\u5750\u6807\u548c\u7269\u4f53\u5750\u6807\u7684\u5bf9\u70b9 \u4f46\u662f\u4e00\u822c\u53ea\u7528 t, \u56e0\u4e3a R \u7684\u7cbe\u5ea6\u4e0d\u591f\u9ad8 Fetching Title#g70i</p> <p>![[Pasted image 20241008201602.png]]</p> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;opencv2/opencv.hpp&gt;\n#include &lt;opencv2/imgproc/imgproc.hpp&gt;\n#include &lt;opencv2/calib3d/calib3d.hpp&gt;\n#include &lt;opencv2/core/core.hpp&gt;\nusing namespace cv;\n\nbool findCorners(const cv::Mat &amp;src, std::vector&lt;cv::Point2f&gt; &amp;corners) {\n    std::vector&lt;cv::Point2f&gt; pts;\n    corners.clear();\n    bool flag = cv::findChessboardCorners(src, {9, 6}, pts);\n    if (!flag)\n        return false;\n    corners.push_back(pts[0]);\n    corners.push_back(pts[9 - 1]);\n    corners.push_back(pts[pts.size() - 9]);\n    corners.push_back(pts[pts.size() - 1]);\n    return true;\n}\n\nint main() {\n    cv::Mat src;\n    cv::Mat camera_matrix;\n    cv::Mat distort_matrix;\n    cv::FileStorage reader(PROJECT_DIR\"/parameter.txt\", cv::FileStorage::READ);\n    reader[\"C\"] &gt;&gt; camera_matrix;\n    reader[\"D\"] &gt;&gt; distort_matrix;\n\n    for (int i = 0; i &lt;= 40; i++) {\n        src = imread(std::__cxx11::to_string(i).append(\".jpg\"));\n        std::vector&lt;cv::Point2f&gt; corners;\n        bool flag = findCorners(src, corners);\n        imshow(\"Opencv Demo\", src);\n        cv::waitKey(100);\n        if (flag == false) {\n            std::cout &lt;&lt; \"failed to find all corners\\n\";\n            continue;\n        }\n        std::vector&lt;cv::Point3f&gt; dst;\n        dst.push_back({0, 0, 0});\n        dst.push_back({8 * 1, 0, 0});\n        dst.push_back({0, 5 * 1, 0});\n        dst.push_back({8 * 1, 5 * 1, 0});\n        cv::Mat rvec, tvec;\n        cv::solvePnP(dst, corners, camera_matrix, distort_matrix, rvec, tvec);\n        std::cout &lt;&lt; \"t:\" &lt;&lt; std::endl &lt;&lt; -tvec &lt;&lt; std::endl &lt;&lt; std::endl;\n        cv::Mat drawer;\n        drawer = src.clone();\n        for (int j = 0; j &lt; 4; j++)\n            cv::circle(drawer, corners[j], 2, {0, 255, 0}, 2);\n        cv::imshow(\"corners\", drawer);\n        cv::waitKey(5);\n    }\n    return 0;\n}\n</code></pre>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/","title":"\u5361\u5c14\u66fc\u6ee4\u6ce2","text":"<p> \u7ea6 193 \u4e2a\u5b57  115 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#1-why","title":"1 Why","text":"<ul> <li>\u5dee\u5206<ul> <li>\u53d7\u566a\u58f0\u5e72\u6270\u5927</li> <li>\u6709\u5ef6\u8fdf</li> <li>\u901f\u5ea6\u4e0d\u8fde\u7eed\uff08\u4e0d\u80fd\u5f97\u5230\u77ac\u65f6\u901f\u5ea6\uff09</li> </ul> </li> </ul>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#2-how","title":"2 How","text":""},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#21","title":"2.1 \u5361\u5c14\u66fc\u6ee4\u6ce2","text":"<ul> <li>\u5408\u7406\u5730\u6839\u636e\u8bef\u5dee\u6765\u63a8\u5bfc\uff0c\u800c\u4e0d\u662f\u76f4\u63a5\u5ffd\u89c6\u5f71\u54cd\u6700\u7ec8\u91cf<ul> <li>\u65e0\u4eba\u9a7e\u9a76\u6280\u672f\u5165\u95e8\uff08\u5341\u4e09\uff09| \u624b\u628a\u624b\u6559\u4f60\u5199\u5361\u5c14\u66fc\u6ee4\u6ce2\u5668 - \u77e5\u4e4e </li> </ul> </li> </ul> \\[ \\begin{array}{|c|}\\hline\\textbf{Prediction}\\\\\\hline x^{'}=Ax+u\\\\P^{'}=APA^{T}+R\\\\\\hline\\textbf{Measurement update}\\\\\\hline y=z-Cx^{'}\\\\S=CPC^{T}+Q\\\\K=PC^{T}S^{-1}\\\\x=x^{'}+Ky\\\\P=(I-KC)P\\\\\\hline\\end{array} \\] C++<pre><code>#include &lt;iostream&gt;\n#include &lt;cstdio&gt;\n#include &lt;string&gt;\n#include &lt;vector&gt;\n#include &lt;ctime&gt;\n#include &lt;opencv2/core/core.hpp&gt;\n#include &lt;opencv2/highgui/highgui.hpp&gt;\n#include &lt;opencv2/imgproc/imgproc.hpp&gt;\n#include &lt;Eigen/Dense&gt;\n#include &lt;opencv2/core/eigen.hpp&gt;\nusing namespace std;\nusing namespace cv;\nusing namespace Eigen;\n\nint main() {\nsrand((unsigned int) time(NULL));\n// generate data with noise\nconst int N = 20;\nconst double k = 2.5;\nMatrix&lt;double, 1, N&gt; noise = Matrix&lt;double, 1, N&gt;::Random();\nMatrix&lt;double, 1, N&gt; data = Matrix&lt;double, 1, N&gt;::LinSpaced(0, k * (N - 1));\ndata += noise;\nstd::cout &lt;&lt; data &lt;&lt; std::endl;\n// calculate speed\nconst int Z_N = 1, X_N = 2;\nMatrix&lt;double, X_N, 1&gt; X;\nMatrix&lt;double, X_N, X_N&gt; A;\nMatrix&lt;double, X_N, X_N&gt; P;\nMatrix&lt;double, X_N, X_N&gt; R;\nMatrix&lt;double, X_N, Z_N&gt; K;\nMatrix&lt;double, Z_N, X_N&gt; C;\nMatrix&lt;double, Z_N, Z_N&gt; Q;\n\nX &lt;&lt; data[0], 0;\nA &lt;&lt; 1, 1, 0, 1;\nC &lt;&lt; 1, 0;\nR &lt;&lt; 2, 0, 0, 2;\nQ &lt;&lt; 10;\nfor (int i = 1; i &lt; N; i++) {\n    // \u66f4\u65b0\u9884\u6d4b\n    Matrix&lt;double, X_N, 1&gt; X_k = A * X;\n    P = A * P * A.transpose() + R;\n    // \u66f4\u65b0\u89c2\u6d4b\n    K = P * C.transpose() * (C * P * C.transpose() + Q).inverse();\n    Matrix&lt;double, Z_N, 1&gt; Z{data[i]};\n    X = X_k + K * (Z - C * X_k);\n    P = (Matrix&lt;double, X_N, X_N&gt;::Identity() - K * C) * P;\n    std::cout &lt;&lt; \"step \" &lt;&lt; i &lt;&lt; \": \" &lt;&lt; X[1] &lt;&lt; std::endl;\n}\nstd:cout &lt;&lt; \"final speed: \" &lt;&lt; X[1] &lt;&lt; std::endl;\nreturn 0;\n}\n</code></pre>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#22-ekf","title":"2.2 EKF \u7b97\u6cd5\u7684\u5b9e\u73b0","text":"C++<pre><code>#include &lt;ceres/jet.h&gt;\n#include &lt;Eigen/Dense&gt;\n\ntemplate&lt;int N_X, int N_Y&gt;\nclass AdaptiveEKF {\n    using MatrixXX = Eigen::Matrix&lt;double, N_X, N_X&gt;;\n    using MatrixYX = Eigen::Matrix&lt;double, N_Y, N_X&gt;;\n    using MatrixXY = Eigen::Matrix&lt;double, N_X, N_Y&gt;;\n    using MatrixYY = Eigen::Matrix&lt;double, N_Y, N_Y&gt;;\n    using VectorX = Eigen::Matrix&lt;double, N_X, 1&gt;;\n    using VectorY = Eigen::Matrix&lt;double, N_Y, 1&gt;;\n\npublic:\n    explicit AdaptiveEKF(const VectorX &amp;X0 = VectorX::Zero())\n            : Xe(X0), P(MatrixXX::Identity()), Q(MatrixXX::Identity()), R(MatrixYY::Identity()) {}\n\n    // \u9884\u6d4b\u51fd\u6570\n    template&lt;class Func&gt;\n    VectorX predict(Func &amp;&amp;func) {\n        calculateJacobian(Xe, func, Xp, F);\n        P = F * P * F.transpose() + Q;\n        return Xp;\n    }\n\n    // \u66f4\u65b0\u51fd\u6570\n    template&lt;class Func&gt;\n    VectorX update(Func &amp;&amp;func, const VectorY &amp;Y) {\n        calculateJacobian(Xp, func, Yp, H);\n        MatrixYY S = H * P * H.transpose() + R;  // \u521b\u65b0\u534f\u65b9\u5dee\n        K = P * H.transpose() * S.inverse();     // \u5361\u5c14\u66fc\u589e\u76ca\n        Xe = Xp + K * (Y - Yp);                  // \u66f4\u65b0\u72b6\u6001\u4f30\u8ba1\n        P = (MatrixXX::Identity() - K * H) * P;  // \u66f4\u65b0\u72b6\u6001\u534f\u65b9\u5dee\n        return Xe;\n    }\n\nprivate:\n    // \u8ba1\u7b97\u96c5\u514b\u6bd4\u77e9\u9635\u7684\u8f85\u52a9\u51fd\u6570\n    template&lt;class Func, int N_IN, int N_OUT&gt;\n    void calculateJacobian(const Eigen::Matrix&lt;double, N_IN, 1&gt; &amp;input, Func &amp;&amp;func, Eigen::Matrix&lt;double, N_OUT, 1&gt; &amp;output, Eigen::Matrix&lt;double, N_OUT, N_IN&gt; &amp;jacobian) {\n        ceres::Jet&lt;double, N_IN&gt; input_auto_jet[N_IN];\n        for (int i = 0; i &lt; N_IN; i++) {\n            input_auto_jet[i].a = input[i];\n            input_auto_jet[i].v[i] = 1;\n        }\n        ceres::Jet&lt;double, N_OUT&gt; output_auto_jet[N_OUT];\n        func(input_auto_jet, output_auto_jet);\n        for (int i = 0; i &lt; N_OUT; i++) {\n            output[i] = output_auto_jet[i].a;\n            jacobian.block(i, 0, 1, N_IN) = output_auto_jet[i].v.transpose();\n        }\n    }\n\npublic:\n    VectorX Xe;     // \u4f30\u8ba1\u72b6\u6001\u53d8\u91cf\n    VectorX Xp;     // \u9884\u6d4b\u72b6\u6001\u53d8\u91cf\n    MatrixXX F;     // \u9884\u6d4b\u96c5\u514b\u6bd4\u77e9\u9635\n    MatrixYX H;     // \u89c2\u6d4b\u96c5\u514b\u6bd4\u77e9\u9635\n    MatrixXX P;     // \u72b6\u6001\u534f\u65b9\u5dee\n    MatrixXX Q;     // \u9884\u6d4b\u8fc7\u7a0b\u534f\u65b9\u5dee\n    MatrixYY R;     // \u89c2\u6d4b\u8fc7\u7a0b\u534f\u65b9\u5dee\n    MatrixXY K;     // \u5361\u5c14\u66fc\u589e\u76ca\n    VectorY Yp;     // \u9884\u6d4b\u89c2\u6d4b\u91cf\n};\n</code></pre>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#23","title":"2.3 \u975e\u7ebf\u6027\u4f18\u5316","text":"<p>TODO</p>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#_2","title":"\u4e00\u4e9b\u8d44\u6599","text":"<ul> <li>zhuanlan.zhihu.com/p/45238681</li> <li>\u5361\u5c14\u66fc\u6ee4\u6ce2(Kalman Filter)\u6982\u5ff5\u4ecb\u7ecd\u53ca\u8be6\u7ec6\u516c\u5f0f\u63a8\u5bfc-CSDN\u535a\u5ba2</li> <li>\u8c03\u8282\u8bef\u5dee\u77e9\u9635\u7684\u5b9e\u9645\u610f\u4e49</li> <li>\u975e\u7ebf\u6027\u62d3\u5c55</li> <li>\u81ea\u9002\u5e94\u4f18\u5316</li> <li>\u4f5c\u4e1a\u4e2d\u6709\u4e00\u4e2a\u5929\u4f53\u8fd0\u52a8\u7684\u4f8b\u5b50</li> </ul>"},{"location":"Robot/%E7%9B%B8%E6%9C%BA%E6%A0%87%E5%AE%9A/","title":"\u76f8\u673a\u6807\u5b9a","text":"<p> \u7ea6 73 \u4e2a\u5b57  1 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <p>Calibration</p> <ul> <li>GitHub - SHU-FLYMAN/CalibCamera: \u57fa\u4e8e\u5f20\u6b63\u53cb\u6807\u5b9a\u6cd5\u7684\u5355\u76ee\u76f8\u673a\u6807\u5b9a\u7406\u8bba\u5230\u5b9e\u8df5</li> <li>\u4e00\u6587\u5403\u900f\u76f8\u673a\u6807\u5b9a\uff08Camera calibration\uff09-CSDN\u535a\u5ba2</li> <li>\u6700\u8be6\u7ec6\u3001\u6700\u5b8c\u6574\u7684\u76f8\u673a\u6807\u5b9a\u8bb2\u89e3-CSDN\u535a\u5ba2</li> <li>\u76f8\u673a\u6807\u5b9a\uff08Camera calibration\uff09\u539f\u7406\u3001\u6b65\u9aa4_\u89c6\u89c9\u76f8\u673a \u793a\u6559\u76ee\u7684-CSDN\u535a\u5ba2 </li> </ul>"},{"location":"Technology/CMake/","title":"CMake \u76f8\u5173","text":"<p> \u7ea6 161 \u4e2a\u5b57  13 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p>"},{"location":"Technology/CMake/#1","title":"1 \u6784\u5efa\u6700\u5c0f\u9879\u76ee","text":"<ul> <li>CMake \u652f\u6301\u5927\u5199\u3001\u5c0f\u5199\u548c\u6df7\u5408\u5927\u5c0f\u5199\u547d\u4ee4\u3001</li> </ul> Text Only<pre><code>mkdir build\ncd build\ncmake -G\"MinGW Makefiles\" ..\ncmake --build .\n</code></pre> <p>\u4e4b\u540e\u4f1a\u751f\u6210\u53ef\u6267\u884c\u6587\u4ef6</p> Text Only<pre><code>step1/\n    build/\n    CMakeLists.txt\n    tutorial.cpp\n</code></pre>"},{"location":"Technology/CMake/#2-cmakelists-txt","title":"2 \u4f18\u5316 CMakeLists. txt \u6587\u4ef6","text":"CMake<pre><code>cmake_minimum_required(VERSION 3.15)\n\n# set the project name\nproject(Tutorial)\n\nSET(SRC_LIST tutorial.cpp)\n\n# add the executable\nadd_executable(${PROJECT_NAME} ${SRC_LIST})\n</code></pre> <p>1.0.2 \u5206\u522b\u5bf9\u5e94 MAJOR MINOR PATCH</p> <ul> <li>set \u548c PROJECT_NAME</li> <li>\u6dfb\u52a0\u7248\u672c\u53f7\u548c\u914d\u7f6e\u5934\u6587\u4ef6</li> <li>\u6dfb\u52a0\u7f16\u8bd1\u65f6\u95f4\u6233</li> <li>\u6307\u5b9a C++\u6807\u51c6</li> <li>\u6dfb\u52a0\u5e93\uff08\u6dfb\u52a0\u5e93\u7684\u4f4d\u7f6e\uff0c\u5e93\u6587\u4ef6\u540d\uff0c\u5934\u6587\u4ef6\u540d\uff09</li> <li>\u5c06\u5e93\u8bbe\u7f6e\u4e3a\u53ef\u9009\u9879\uff08\u5206\u7ecf\u5178\u548c\u73b0\u4ee3\uff09</li> <li>\u6dfb\u52a0\u5e93\u7684\u4f7f\u7528\u8981\u6c42<ul> <li>INTERFACE</li> <li>PRIVATE</li> <li>PUBLIC</li> <li>\u9759\u6001\u94fe\u63a5\u5e93/\u52a8\u6001\u94fe\u63a5\u5e93</li> </ul> </li> <li>build \u76ee\u5f55\u4ecb\u7ecd</li> </ul>"},{"location":"Technology/CMake/#links","title":"links","text":"<ul> <li>Site Unreachable</li> <li>IPADS\u65b0\u4eba\u57f9\u8bad\u7b2c\u4e8c\u8bb2\uff1aCMake_\u54d4\u54e9\u54d4\u54e9_bilibili</li> </ul>"},{"location":"Technology/Makeflie/","title":"Makeflie","text":"<p> \u7ea6 220 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p>"},{"location":"Technology/Makeflie/#make","title":"Make \u57fa\u7840","text":""},{"location":"Technology/Makeflie/#make_1","title":"\u4ec0\u4e48\u662f Make","text":"<p>Make \u662f\u4e00\u4e2a\u81ea\u52a8\u5316\u6784\u5efa\u5de5\u5177\uff0c\u4f7f\u7528 Makefile \u6587\u4ef6\u6765\u5b9a\u4e49\u5982\u4f55\u7f16\u8bd1\u548c\u94fe\u63a5\u7a0b\u5e8f\u3002\u5b83\u901a\u8fc7\u68c0\u67e5\u6587\u4ef6\u7684\u65f6\u95f4\u6233\u6765\u51b3\u5b9a\u54ea\u4e9b\u6587\u4ef6\u9700\u8981\u91cd\u65b0\u7f16\u8bd1\u3002</p>"},{"location":"Technology/Makeflie/#makefile","title":"Makefile \u7684\u57fa\u672c\u7ed3\u6784","text":"<p>Makefile \u7684\u57fa\u672c\u7ed3\u6784\u7531\u76ee\u6807\u3001\u4f9d\u8d56\u548c\u547d\u4ee4\u7ec4\u6210\uff0c\u901a\u5e38\u5f62\u5f0f\u4e3a\uff1a</p> Text Only<pre><code>target: dependencies     \n    command\n</code></pre>"},{"location":"Technology/Makeflie/#makefile_1","title":"Makefile \u793a\u4f8b","text":"<p>\u8ba9\u6211\u4eec\u8003\u8651\u4e00\u4e2a\u7b80\u5355\u7684 C \u8bed\u8a00\u9879\u76ee\uff0c\u8be5\u793a\u4f8b\u5c06\u5c55\u793a\u5982\u4f55\u4f7f\u7528 Makefile \u6765\u7f16\u8bd1\u4e00\u4e2a\u5177\u6709\u591a\u4e2a\u6e90\u6587\u4ef6\u548c\u5934\u6587\u4ef6\u7684\u7a0b\u5e8f\uff0c\u5e76\u5c55\u793a Makefile \u76f8\u6bd4\u624b\u52a8\u547d\u4ee4\u884c\u7f16\u8bd1\u7684\u4f18\u52bf\u3002 \u7f16\u8bd1\u8fdb\u9636 - HPC\u5165\u95e8\u6307\u5357</p>"},{"location":"Technology/Makeflie/#make_2","title":"Make \u7684\u5e38\u7528\u547d\u4ee4","text":"<ul> <li><code>make</code>\uff1a\u6267\u884c\u9ed8\u8ba4\u76ee\u6807\uff0c\u4e0e<code>make all</code>\u7b49\u6548\u3002</li> <li><code>make &lt;target&gt;</code>\uff1a\u6267\u884c\u5b9a\u4e49\u7684<code>&lt;target&gt;</code>\u76ee\u6807\uff0c\u5982\u679c\u6ca1\u6709\u8fd9\u4e2a\u76ee\u6807\u5c06\u8fd4\u56de\u9519\u8bef\u4fe1\u606f\u3002</li> <li><code>make -j</code>\uff1a\u5e76\u884c\u6267\u884c\u6784\u5efa\uff0c\u4f7f\u7528\u672c\u673a\u7684\u5168\u90e8\u7ebf\u7a0b</li> </ul>"},{"location":"Technology/SSH/","title":"SSH\u914d\u7f6e\u6307\u5357","text":"<p> \u7ea6 641 \u4e2a\u5b57  195 \u884c\u4ee3\u7801  1 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p>"},{"location":"Technology/SSH/#ssh_1","title":"\u4e00\u3001SSH\u57fa\u7840\u6982\u5ff5","text":""},{"location":"Technology/SSH/#1-ssh","title":"1. SSH\u5de5\u4f5c\u539f\u7406","text":"<p>SSH(Secure Shell)\u662f\u4e00\u79cd\u52a0\u5bc6\u7684\u7f51\u7edc\u534f\u8bae\uff0c\u901a\u8fc7\u5728\u4e0d\u5b89\u5168\u7684\u7f51\u7edc\u4e0a\u4e3a\u7f51\u7edc\u670d\u52a1\u63d0\u4f9b\u5b89\u5168\u7684\u4f20\u8f93\u73af\u5883\u3002SSH\u901a\u8fc7\u4f7f\u7528\u52a0\u5bc6\u6280\u672f\uff0c\u80fd\u591f\u6709\u6548\u9632\u6b62\u4e2d\u95f4\u4eba\u653b\u51fb\uff0c\u4fdd\u62a4\u6570\u636e\u4f20\u8f93\u7684\u5b89\u5168\u3002</p> <p>SSH\u5de5\u4f5c\u6d41\u7a0b\uff1a 1. TCP\u8fde\u63a5\u5efa\u7acb\uff1a\u5ba2\u6237\u7aef\u548c\u670d\u52a1\u5668\u5efa\u7acbTCP\u8fde\u63a5\uff08\u9ed8\u8ba4\u7aef\u53e322\uff09 2. \u7248\u672c\u534f\u5546\uff1a\u53cc\u65b9\u4ea4\u6362\u7248\u672c\u4fe1\u606f\uff0c\u786e\u5b9a\u4f7f\u7528\u7684SSH\u534f\u8bae\u7248\u672c 3. \u5bc6\u94a5\u4ea4\u6362\uff1a\u4f7f\u7528Diffie-Hellman\u7b97\u6cd5\u4ea4\u6362\u4f1a\u8bdd\u5bc6\u94a5 4. \u8ba4\u8bc1\uff1a\u4f7f\u7528\u516c\u94a5\u6216\u5bc6\u7801\u8fdb\u884c\u8eab\u4efd\u9a8c\u8bc1 5. \u4f1a\u8bdd\uff1a\u5efa\u7acb\u52a0\u5bc6\u901a\u4fe1\u901a\u9053</p>"},{"location":"Technology/SSH/#2","title":"2. \u8ba4\u8bc1\u65b9\u5f0f\u8be6\u89e3","text":""},{"location":"Technology/SSH/#21","title":"2.1 \u5bc6\u7801\u8ba4\u8bc1","text":"<ul> <li>\u6700\u7b80\u5355\u4f46\u6700\u4e0d\u5b89\u5168\u7684\u8ba4\u8bc1\u65b9\u5f0f</li> <li>\u5bb9\u6613\u53d7\u5230\u66b4\u529b\u7834\u89e3\u653b\u51fb</li> <li>\u4e0d\u63a8\u8350\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u4f7f\u7528</li> </ul>"},{"location":"Technology/SSH/#22","title":"2.2 \u516c\u94a5\u8ba4\u8bc1","text":"<p>\u8ba4\u8bc1\u6d41\u7a0b 1. \u5ba2\u6237\u7aef\u53d1\u9001\u516c\u94a5\u4fe1\u606f\u7ed9\u670d\u52a1\u5668 2. \u670d\u52a1\u5668\u68c0\u67e5authorized_keys\u6587\u4ef6 3. \u670d\u52a1\u5668\u751f\u6210\u968f\u673a\u5b57\u7b26\u4e32\uff0c\u7528\u516c\u94a5\u52a0\u5bc6\u540e\u53d1\u9001\u7ed9\u5ba2\u6237\u7aef 4. \u5ba2\u6237\u7aef\u7528\u79c1\u94a5\u89e3\u5bc6\uff0c\u5c06\u7ed3\u679c\u8fd4\u56de\u670d\u52a1\u5668 5. \u670d\u52a1\u5668\u9a8c\u8bc1\u7ed3\u679c\uff0c\u5b8c\u6210\u8ba4\u8bc1</p>"},{"location":"Technology/SSH/#3","title":"3. \u5b89\u5168\u5efa\u8bae","text":""},{"location":"Technology/SSH/#31","title":"3.1 \u57fa\u672c\u5b89\u5168\u8bbe\u7f6e","text":"Bash<pre><code># /etc/ssh/sshd_config \u5b89\u5168\u914d\u7f6e\nPermitRootLogin no                 # \u7981\u6b62root\u76f4\u63a5\u767b\u5f55\nPasswordAuthentication no          # \u7981\u7528\u5bc6\u7801\u8ba4\u8bc1\nPubkeyAuthentication yes          # \u542f\u7528\u516c\u94a5\u8ba4\u8bc1\nPermitEmptyPasswords no           # \u7981\u6b62\u7a7a\u5bc6\u7801\nProtocol 2                        # \u53ea\u4f7f\u7528SSH2\u534f\u8bae\nMaxAuthTries 3                    # \u6700\u5927\u8ba4\u8bc1\u5c1d\u8bd5\u6b21\u6570\nLoginGraceTime 30                 # \u767b\u5f55\u8d85\u65f6\u65f6\u95f4\nX11Forwarding no                  # \u7981\u7528X11\u8f6c\u53d1\uff08\u9664\u975e\u9700\u8981\uff09\nAllowUsers user1 user2            # \u9650\u5236\u5141\u8bb8\u767b\u5f55\u7684\u7528\u6237\n</code></pre>"},{"location":"Technology/SSH/#32","title":"3.2 \u5bc6\u94a5\u7ba1\u7406","text":"Bash<pre><code># \u751f\u6210\u5f3a\u5bc6\u94a5\nssh-keygen -t ed25519 -C \"your_email@example.com\" -a 100\n\n# \u5bc6\u94a5\u6743\u9650\u8bbe\u7f6e\nchmod 700 ~/.ssh\nchmod 600 ~/.ssh/id_ed25519\nchmod 644 ~/.ssh/id_ed25519.pub\nchmod 600 ~/.ssh/authorized_keys\nchmod 600 ~/.ssh/known_hosts\n</code></pre>"},{"location":"Technology/SSH/#ssh_2","title":"\u5e38\u7528\u7684 SSH \u547d\u4ee4","text":"<p>SSH \u6559\u7a0b \u83dc\u9e1f\u6559\u7a0b</p>"},{"location":"Technology/SSH/#_1","title":"\u4e8c\u3001\u5b8c\u6574\u914d\u7f6e\u6307\u5357","text":""},{"location":"Technology/SSH/#1-linux","title":"1. Linux\u670d\u52a1\u5668\u914d\u7f6e","text":"Bash<pre><code># 1. \u5b89\u88c5SSH\u670d\u52a1\u5668\nsudo apt update\nsudo apt install openssh-server\n\n# 2. \u914d\u7f6eSSH\u670d\u52a1\nsudo nano /etc/ssh/sshd_config\n\n# 3. \u57fa\u672c\u5b89\u5168\u914d\u7f6e\nPort 22                          # \u53ef\u4ee5\u4fee\u6539\u4e3a\u975e\u6807\u51c6\u7aef\u53e3\nListenAddress 0.0.0.0            # \u76d1\u542c\u5730\u5740\nProtocol 2\nPermitRootLogin no\nPasswordAuthentication no\nPubkeyAuthentication yes\nAuthorizedKeysFile .ssh/authorized_keys\nUsePAM yes\nX11Forwarding no\nPrintMotd no\nAcceptEnv LANG LC_*\nSubsystem sftp /usr/lib/openssh/sftp-server\n\n# 4. \u91cd\u542fSSH\u670d\u52a1\nsudo systemctl restart sshd\n\n# 5. \u68c0\u67e5\u670d\u52a1\u72b6\u6001\nsudo systemctl status sshd\n</code></pre>"},{"location":"Technology/SSH/#2-windows-ssh","title":"2. Windows SSH\u914d\u7f6e","text":""},{"location":"Technology/SSH/#21-openssh","title":"2.1 \u5b89\u88c5OpenSSH","text":"<p>PowerShell<pre><code># \u4f7f\u7528PowerShell\u5b89\u88c5OpenSSH\n# \u68c0\u67e5OpenSSH\u72b6\u6001\nGet-WindowsCapability -Online | Where-Object Name -like 'OpenSSH*'\n\n# \u5b89\u88c5\u5ba2\u6237\u7aef\u548c\u670d\u52a1\u5668\nAdd-WindowsCapability -Online -Name OpenSSH.Client~~~~0.0.1.0\nAdd-WindowsCapability -Online -Name OpenSSH.Server~~~~0.0.1.0\n\n# \u542f\u52a8SSH\u670d\u52a1\nStart-Service sshd\nSet-Service -Name sshd -StartupType 'Automatic'\n</code></pre> \u5982\u679c\u6709\u7f51\u7edc\u95ee\u9898\u53ef\u4ee5\u4e0b\u8f7d\u5e76\u5b89\u88c5 OpenSSH \u7684\u79bb\u7ebf\u5b89\u88c5\u5305\uff1a  </p> <ul> <li>\u60a8\u53ef\u4ee5\u5c1d\u8bd5\u4ece GitHub \u4e0a\u4e0b\u8f7d OpenSSH \u7684\u79bb\u7ebf\u5b89\u88c5\u5305\uff0c\u5e76\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u8fdb\u884c\u5b89\u88c5\uff1a  <ol> <li>\u8bbf\u95ee GitHub \u4e0a\u7684 Win32-OpenSSH \u53d1\u5e03\u9875\u9762\uff1aWin32-OpenSSH Releases </li> <li>\u4e0b\u8f7d\u9002\u7528\u4e8e\u60a8\u7684\u7cfb\u7edf\u7684\u5b89\u88c5\u5305\uff08Win32 \u6216 Win64\uff09\u3002  </li> <li>\u89e3\u538b\u4e0b\u8f7d\u7684\u6587\u4ef6\u5230\u4e00\u4e2a\u76ee\u5f55\u3002  </li> <li>\u4ee5\u7ba1\u7406\u5458\u6743\u9650\u6253\u5f00\u547d\u4ee4\u63d0\u793a\u7b26\uff08cmd\uff09\uff0c\u5e76\u5bfc\u822a\u5230\u89e3\u538b\u7684\u76ee\u5f55\u3002  </li> <li>\u8fd0\u884c\u00a0<code>powershell.exe -ExecutionPolicy Bypass -File install-sshd.ps1</code>\u00a0\u6765\u5b89\u88c5 OpenSSH \u670d\u52a1\u3002 </li> </ol> </li> </ul>"},{"location":"Technology/SSH/#22-windows-ssh","title":"2.2 \u914d\u7f6eWindows SSH\u670d\u52a1","text":"PowerShell<pre><code># \u7f16\u8f91SSH\u914d\u7f6e\u6587\u4ef6\nnotepad \"$env:ProgramData\\ssh\\sshd_config\"\n\n# \u57fa\u672c\u914d\u7f6e\u5185\u5bb9\u4e0eLinux\u7c7b\u4f3c\uff0c\u4f46\u8def\u5f84\u9700\u8981\u8c03\u6574\nPubkeyAuthentication yes\nPasswordAuthentication no\nSubsystem sftp sftp-server.exe\n</code></pre>"},{"location":"Technology/SSH/#3-ssh","title":"3. SSH\u5ba2\u6237\u7aef\u914d\u7f6e","text":""},{"location":"Technology/SSH/#31-ssh","title":"3.1 \u521b\u5efaSSH\u914d\u7f6e\u6587\u4ef6","text":"Bash<pre><code># ~/.ssh/config\n# \u5168\u5c40\u8bbe\u7f6e\nHost *\n    ServerAliveInterval 60\n    ServerAliveCountMax 3\n    HashKnownHosts yes\n    GSSAPIAuthentication no\n\n# GitHub\nHost github.com\n    HostName github.com\n    User git\n    IdentityFile ~/.ssh/github_ed25519\n    AddKeysToAgent yes\n\n# \u5f00\u53d1\u670d\u52a1\u5668\nHost dev\n    HostName dev.example.com\n    User developer\n    Port 22\n    IdentityFile ~/.ssh/dev_ed25519\n    ForwardAgent yes\n\n# \u751f\u4ea7\u670d\u52a1\u5668\nHost prod\n    HostName prod.example.com\n    User deployer\n    Port 22\n    IdentityFile ~/.ssh/prod_ed25519\n    ForwardAgent no\n</code></pre>"},{"location":"Technology/SSH/#_2","title":"\u4e09\u3001\u5177\u4f53\u5b9e\u8df5\uff0c\u7528\u7b14\u8bb0\u672c\u8fde\u53f0\u5f0f\u673a","text":""},{"location":"Technology/SSH/#_3","title":"\u53f0\u5f0f\u7535\u8111\uff08\u670d\u52a1\u7aef\uff09\u914d\u7f6e\uff1a","text":"<ol> <li>\u5b89\u88c5\u5e76\u542f\u52a8SSH\u670d\u52a1:</li> </ol> Bash<pre><code># Ubuntu/Debian\u7cfb\u7edf\nsudo apt install openssh-server\nsudo systemctl enable ssh\nsudo systemctl start ssh\n\n# \u68c0\u67e5SSH\u670d\u52a1\u72b6\u6001\nsudo systemctl status ssh\n</code></pre> <ol> <li>\u914d\u7f6eSSH\u670d\u52a1:</li> </ol> Bash<pre><code># \u7f16\u8f91SSH\u670d\u52a1\u5668\u914d\u7f6e\nsudo nano /etc/ssh/sshd_config\n\n# \u6dfb\u52a0\u6216\u4fee\u6539\u4ee5\u4e0b\u914d\u7f6e\nPermitRootLogin no\nPasswordAuthentication no\nPubkeyAuthentication yes\nAllowUsers your_username    # \u66ff\u6362\u4e3a\u60a8\u7684\u7528\u6237\u540d\n</code></pre> <ol> <li>\u8bbe\u7f6e\u56fa\u5b9aIP\u6216\u52a8\u6001DNS:</li> </ol> Bash<pre><code># \u67e5\u770b\u5f53\u524dIP\nip addr show\n\n# \u5982\u679c\u662f\u52a8\u6001IP\uff0c\u5efa\u8bae\u8bbe\u7f6e\u9759\u6001IP\u6216\u4f7f\u7528\u52a8\u6001DNS\u670d\u52a1\n</code></pre>"},{"location":"Technology/SSH/#_4","title":"\u7b14\u8bb0\u672c\uff08\u5ba2\u6237\u7aef\uff09\u914d\u7f6e\uff1a","text":"<ol> <li>\u751f\u6210SSH\u5bc6\u94a5\u5bf9\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09:</li> </ol> Bash<pre><code>ssh-keygen -t ed25519 -C \"your_laptop\"\n</code></pre> <ol> <li>\u5c06\u516c\u94a5\u590d\u5236\u5230\u53f0\u5f0f\u673a:</li> </ol> Bash<pre><code># \u65b9\u6cd51\uff1a\u4f7f\u7528ssh-copy-id\nssh-copy-id -i ~/.ssh/id_ed25519.pub username@desktop_ip\n\n# \u65b9\u6cd52\uff1a\u624b\u52a8\u590d\u5236\ncat ~/.ssh/id_ed25519.pub | ssh username@desktop_ip \"mkdir -p ~/.ssh &amp;&amp; cat &gt;&gt; ~/.ssh/authorized_keys\"\n</code></pre> <ol> <li>\u914d\u7f6eSSH\u5ba2\u6237\u7aef:</li> </ol> Bash<pre><code># \u7f16\u8f91 ~/.ssh/config\nnano ~/.ssh/config\n\n# \u6dfb\u52a0\u4ee5\u4e0b\u914d\u7f6e\nHost desktop\n    HostName 192.168.1.xxx  # \u66ff\u6362\u4e3a\u53f0\u5f0f\u673a\u7684IP\n    User your_username      # \u66ff\u6362\u4e3a\u60a8\u7684\u7528\u6237\u540d\n    Port 22\n    IdentityFile ~/.ssh/id_ed25519\n    ForwardX11 yes         # \u5982\u679c\u9700\u8981\u56fe\u5f62\u754c\u9762\u8f6c\u53d1\n    ForwardAgent yes\n    Compression yes\n    ServerAliveInterval 60\n</code></pre>"},{"location":"Technology/SSH/#_5","title":"\u5e38\u7528\u8fde\u63a5\u547d\u4ee4\uff1a","text":"<ol> <li>\u57fa\u672c\u8fde\u63a5:</li> </ol> Bash<pre><code># \u4ece\u7b14\u8bb0\u672c\u8fde\u63a5\u5230\u53f0\u5f0f\u673a\nssh desktop\n\n# \u4f7f\u7528\u56fe\u5f62\u754c\u9762\u8f6c\u53d1\nssh -X desktop\n</code></pre> <ol> <li>\u6587\u4ef6\u4f20\u8f93:</li> </ol> Bash<pre><code># \u4ece\u7b14\u8bb0\u672c\u590d\u5236\u6587\u4ef6\u5230\u53f0\u5f0f\u673a\nscp /path/to/local/file desktop:/path/to/remote/\n\n# \u4ece\u53f0\u5f0f\u673a\u590d\u5236\u6587\u4ef6\u5230\u7b14\u8bb0\u672c\nscp desktop:/path/to/remote/file /path/to/local/\n</code></pre> <ol> <li>\u7aef\u53e3\u8f6c\u53d1:</li> </ol> Bash<pre><code># \u672c\u5730\u7aef\u53e3\u8f6c\u53d1\nssh -L 8080:localhost:80 desktop\n\n# \u8fdc\u7a0b\u7aef\u53e3\u8f6c\u53d1\nssh -R 8080:localhost:80 desktop\n</code></pre>"},{"location":"Technology/SSH/#_6","title":"\u56db\u3001\u9ad8\u7ea7\u64cd\u4f5c","text":""},{"location":"Technology/SSH/#1-ssh_1","title":"1. SSH\u7aef\u53e3\u8f6c\u53d1","text":""},{"location":"Technology/SSH/#11","title":"1.1 \u672c\u5730\u7aef\u53e3\u8f6c\u53d1","text":"Bash<pre><code># \u5c06\u672c\u57308080\u7aef\u53e3\u8f6c\u53d1\u5230\u8fdc\u7a0b80\u7aef\u53e3\nssh -L 8080:localhost:80 user@remote\n\n# \u4f7f\u7528\u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost tunnel\n    HostName remote.example.com\n    LocalForward 8080 localhost:80\n</code></pre>"},{"location":"Technology/SSH/#12","title":"1.2 \u8fdc\u7a0b\u7aef\u53e3\u8f6c\u53d1","text":"Bash<pre><code># \u5c06\u8fdc\u7a0b3000\u7aef\u53e3\u8f6c\u53d1\u5230\u672c\u57303000\u7aef\u53e3\nssh -R 3000:localhost:3000 user@remote\n\n# \u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost remote-tunnel\n    HostName remote.example.com\n    RemoteForward 3000 localhost:3000\n</code></pre>"},{"location":"Technology/SSH/#2-ssh","title":"2. SSH\u4ee3\u7406\u8f6c\u53d1","text":"Bash<pre><code># \u542f\u7528\u4ee3\u7406\u8f6c\u53d1\nssh -A user@remote\n\n# \u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost *\n    ForwardAgent yes\n    AddKeysToAgent yes\n</code></pre>"},{"location":"Technology/SSH/#3_1","title":"3. \u8df3\u677f\u673a\u914d\u7f6e","text":"Bash<pre><code># \u901a\u8fc7\u8df3\u677f\u673a\u8fde\u63a5\nssh -J jumphost user@target\n\n# \u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost target\n    HostName target.example.com\n    ProxyJump jumphost\n</code></pre>"},{"location":"Technology/SSH/#_7","title":"\u4e94\u3001\u6545\u969c\u6392\u67e5","text":""},{"location":"Technology/SSH/#1","title":"1. \u6700\u4f73\u5b9e\u8df5","text":"Bash<pre><code># 1. \u4f7f\u7528SSH\u914d\u7f6e\u6587\u4ef6\u7ba1\u7406\u8fde\u63a5\n# 2. \u4e3a\u4e0d\u540c\u7528\u9014\u4f7f\u7528\u4e0d\u540c\u7684\u5bc6\u94a5\n# 3. \u5b9a\u671f\u8f6e\u6362\u5bc6\u94a5\n# 4. \u4f7f\u7528ssh-agent\u7ba1\u7406\u5bc6\u94a5\n# 5. \u5907\u4efdSSH\u914d\u7f6e\u548c\u5bc6\u94a5\n</code></pre>"},{"location":"Technology/SSH/#2_1","title":"2. \u5e38\u89c1\u95ee\u9898\u89e3\u51b3","text":"Bash<pre><code># \u8fde\u63a5\u88ab\u62d2\u7edd\nssh -v user@host  # \u67e5\u770b\u8be6\u7ec6\u8fde\u63a5\u4fe1\u606f\n\n# \u6743\u9650\u95ee\u9898\nls -la ~/.ssh     # \u68c0\u67e5\u6743\u9650\nchmod 600 ~/.ssh/id_ed25519\n\n# \u5bc6\u94a5\u95ee\u9898\nssh-add -l        # \u67e5\u770b\u5df2\u52a0\u8f7d\u7684\u5bc6\u94a5\nssh-add ~/.ssh/id_ed25519  # \u6dfb\u52a0\u5bc6\u94a5\u5230agent\n</code></pre>"},{"location":"Technology/SSH/#3_2","title":"3. \u65e5\u5fd7\u67e5\u770b","text":"Bash<pre><code># \u670d\u52a1\u5668\u7aef\nsudo tail -f /var/log/auth.log    # Debian/Ubuntu\nsudo tail -f /var/log/secure      # CentOS/RHEL\n\n# \u5ba2\u6237\u7aef\u8c03\u8bd5\nssh -vvv user@host  # \u6700\u8be6\u7ec6\u7684\u8c03\u8bd5\u4fe1\u606f\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/","title":"Tabby + Zsh \u914d\u7f6e\u6307\u5357","text":"<p> \u7ea6 236 \u4e2a\u5b57  789 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 11 \u5206\u949f</p>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_1","title":"\u524d\u7f6e\u51c6\u5907","text":"<p>\u7cfb\u7edf\u8981\u6c42</p> Bash<pre><code># Ubuntu/Debian\nsudo apt update\nsudo apt install -y \\\n    git \\\n    curl \\\n    wget \\\n    build-essential \\\n    cmake \\\n    python3-pip \\\n    pkg-config \\\n    libssl-dev\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#zsh","title":"ZSH \u57fa\u7840\u914d\u7f6e","text":"<p>ZSH \u5b89\u88c5</p> Bash<pre><code># \u5b89\u88c5zsh\nsudo apt install zsh\n\n# \u8bbe\u7f6e\u4e3a\u9ed8\u8ba4shell\nchsh -s $(which zsh)\n\n# \u786e\u8ba4\u8bbe\u7f6e\necho $SHELL\n# \u5e94\u8be5\u8f93\u51fa: /usr/bin/zsh\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#1-oh-my-zsh","title":"1. Oh My Zsh \u5b89\u88c5","text":"Bash<pre><code># \u5b89\u88c5Oh My Zsh\nsh -c \"$(curl -fsSL https://raw.github.com/ohmyzsh/ohmyzsh/master/tools/install.sh)\"\n\n# \u5907\u4efd\u9ed8\u8ba4\u914d\u7f6e\ncp ~/.zshrc ~/.zshrc.backup\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2","title":"2. \u63d2\u4ef6\u7ba1\u7406\u5668\u5b89\u88c5","text":"Bash<pre><code># \u5b89\u88c5zinit\nbash -c \"$(curl --fail --show-error --silent --location https://raw.githubusercontent.com/zdharma-continuum/zinit/HEAD/scripts/install.sh)\"\n\n# \u7b49\u5f85\u5b89\u88c5\u5b8c\u6210\u540e\u91cd\u542f\u7ec8\u7aef\nexec zsh\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3","title":"3. \u57fa\u7840\u914d\u7f6e\u6587\u4ef6","text":"Bash<pre><code># \u521b\u5efa\u65b0\u7684\u914d\u7f6e\u6587\u4ef6\ncat &lt;&lt; 'EOF' &gt; ~/.zshrc\n# \u57fa\u7840\u8bbe\u7f6e\nexport ZSH=\"$HOME/.oh-my-zsh\"\nexport LANG=en_US.UTF-8\nexport EDITOR='nvim'\nexport VISUAL='nvim'\n\n# zinit\u914d\u7f6e\nsource \"$HOME/.local/share/zinit/zinit.git/zinit.zsh\"\nautoload -Uz _zinit\n(( ${+_comps} )) &amp;&amp; _comps[zinit]=_zinit\n\n# \u52a0\u8f7d\u6838\u5fc3\u63d2\u4ef6\nzinit ice depth=1; zinit light romkatv/powerlevel10k  # \u4e3b\u9898\nzinit light zsh-users/zsh-autosuggestions           # \u547d\u4ee4\u5efa\u8bae\nzinit light zsh-users/zsh-syntax-highlighting       # \u8bed\u6cd5\u9ad8\u4eae\nzinit light zsh-users/zsh-completions              # \u8865\u5168\u589e\u5f3a\nzinit light agkozak/zsh-z                          # \u76ee\u5f55\u8df3\u8f6c\n\n# \u5386\u53f2\u8bb0\u5f55\u8bbe\u7f6e\nHISTFILE=\"$HOME/.zsh_history\"\nHISTSIZE=50000\nSAVEHIST=50000\nsetopt EXTENDED_HISTORY          # \u8bb0\u5f55\u547d\u4ee4\u65f6\u95f4\u6233\nsetopt HIST_EXPIRE_DUPS_FIRST   # \u4f18\u5148\u5220\u9664\u91cd\u590d\u547d\u4ee4\nsetopt HIST_IGNORE_DUPS         # \u5ffd\u7565\u8fde\u7eed\u91cd\u590d\u547d\u4ee4\nsetopt HIST_IGNORE_SPACE        # \u5ffd\u7565\u4ee5\u7a7a\u683c\u5f00\u5934\u7684\u547d\u4ee4\nsetopt HIST_VERIFY              # \u6267\u884c\u5386\u53f2\u547d\u4ee4\u524d\u5c55\u793a\nsetopt INC_APPEND_HISTORY       # \u5b9e\u65f6\u6dfb\u52a0\u5386\u53f2\u8bb0\u5f55\nsetopt SHARE_HISTORY           # \u5171\u4eab\u5386\u53f2\u8bb0\u5f55\n\n# \u76ee\u5f55\u8bbe\u7f6e\nsetopt AUTO_CD              \nsetopt AUTO_PUSHD          \nsetopt PUSHD_IGNORE_DUPS   \nsetopt PUSHD_MINUS         \nDIRSTACKSIZE=20\n\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#4","title":"4. \u5b9e\u7528\u522b\u540d\u8bbe\u7f6e","text":"Bash<pre><code># \u6dfb\u52a0\u5230~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u57fa\u7840\u547d\u4ee4\u589e\u5f3a\nalias ls='ls --color=auto'\nalias ll='ls -lah'\nalias la='ls -A'\nalias l='ls -CF'\nalias grep='grep --color=auto'\nalias rm='rm -i'\nalias cp='cp -i'\nalias mv='mv -i'\nalias mkdir='mkdir -p'\nalias df='df -h'\nalias free='free -m'\nalias duf='du -sh *'\nalias ps='ps auxf'\nalias ping='ping -c 5'\nalias root='sudo -i'\nalias reboot='sudo reboot'\nalias poweroff='sudo poweroff'\n\n# Git\u5feb\u6377\u547d\u4ee4\nalias gs='git status'\nalias ga='git add'\nalias gaa='git add --all'\nalias gc='git commit -m'\nalias gp='git push'\nalias gl='git pull'\nalias gd='git diff'\nalias gco='git checkout'\nalias gb='git branch'\nalias gm='git merge'\nalias glog='git log --oneline --decorate --graph'\n\n# Docker\u5feb\u6377\u547d\u4ee4\nalias dk='docker'\nalias dkc='docker-compose'\nalias dkps='docker ps'\nalias dkst='docker stats'\nalias dktop='docker top'\nalias dkimg='docker images'\nalias dkpull='docker pull'\nalias dkex='docker exec -it'\n\n# \u5feb\u901f\u7f16\u8f91\nalias zshconfig=\"$EDITOR ~/.zshrc\"\nalias zshreload=\"source ~/.zshrc\"\nalias vimconfig=\"$EDITOR ~/.vimrc\"\nalias tmuxconfig=\"$EDITOR ~/.tmux.conf\"\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#5","title":"5. \u5b9e\u7528\u51fd\u6570","text":"Bash<pre><code># \u6dfb\u52a0\u5230~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u521b\u5efa\u5e76\u8fdb\u5165\u76ee\u5f55\nmkcd() {\n    mkdir -p \"$1\" &amp;&amp; cd \"$1\"\n}\n\n# \u63d0\u53d6\u538b\u7f29\u6587\u4ef6\nextract() {\n    if [ -f $1 ]; then\n        case $1 in\n            *.tar.bz2)   tar xjf $1     ;;\n            *.tar.gz)    tar xzf $1     ;;\n            *.bz2)       bunzip2 $1     ;;\n            *.rar)       unrar e $1     ;;\n            *.gz)        gunzip $1      ;;\n            *.tar)       tar xf $1      ;;\n            *.tbz2)      tar xjf $1     ;;\n            *.tgz)       tar xzf $1     ;;\n            *.zip)       unzip $1       ;;\n            *.Z)         uncompress $1  ;;\n            *.7z)        7z x $1        ;;\n            *)          echo \"'$1' cannot be extracted\" ;;\n        esac\n    else\n        echo \"'$1' is not a valid file\"\n    fi\n}\n\n# \u5feb\u901f\u67e5\u627e\u6587\u4ef6\nff() { find . -type f -iname \"*$1*\" ; }\nfd() { find . -type d -iname \"*$1*\" ; }\n\n# \u5feb\u901f\u67e5\u770b\u8fdb\u7a0b\npsg() { ps aux | grep -v grep | grep -i -e VSZ -e \"$1\"; }\n\n# \u7f51\u7edc\u5de5\u5177\nmyip() {\n    curl -s http://ipecho.net/plain\n    echo\n}\n\n# \u5feb\u901fHTTP\u670d\u52a1\u5668\nserve() {\n    local port=\"${1:-8000}\"\n    python3 -m http.server \"$port\"\n}\n\n# Git\u65e5\u5fd7\u7f8e\u5316\ngll() {\n    git log --graph --pretty=format:'%Cred%h%Creset -%C(yellow)%d%Creset %s %Cgreen(%cr) %C(bold blue)&lt;%an&gt;%Creset' --abbrev-commit\n}\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_2","title":"\u4e3b\u9898\u7f8e\u5316\u4e0e\u63d2\u4ef6\u589e\u5f3a","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#powerlevel10k","title":"\u4e00\u3001Powerlevel10k \u4e3b\u9898\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1","title":"1. \u5b89\u88c5\u5fc5\u8981\u5b57\u4f53","text":"Bash<pre><code># \u521b\u5efa\u5b57\u4f53\u76ee\u5f55\nmkdir -p ~/.local/share/fonts\n\n# \u4e0b\u8f7d\u63a8\u8350\u5b57\u4f53\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Regular.ttf\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Bold.ttf\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Italic.ttf\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Bold%20Italic.ttf\n\n# \u79fb\u52a8\u5b57\u4f53\u6587\u4ef6\nmv /tmp/MesloLGS*.ttf ~/.local/share/fonts/\n\n# \u66f4\u65b0\u5b57\u4f53\u7f13\u5b58\nfc-cache -f -v\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2_1","title":"2. \u4e3b\u9898\u914d\u7f6e","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# Powerlevel10k \u914d\u7f6e\n# \u542f\u7528 Powerlevel10k \u5373\u65f6\u63d0\u793a\nif [[ -r \"${XDG_CACHE_HOME:-$HOME/.cache}/p10k-instant-prompt-${(%):-%n}.zsh\" ]]; then\n  source \"${XDG_CACHE_HOME:-$HOME/.cache}/p10k-instant-prompt-${(%):-%n}.zsh\"\nfi\n\n# \u52a0\u8f7d\u4e3b\u9898\nsource ~/.oh-my-zsh/custom/themes/powerlevel10k/powerlevel10k.zsh-theme\n\n# \u4e3b\u9898\u4e2a\u6027\u5316\u8bbe\u7f6e\nPOWERLEVEL9K_MODE='nerdfont-complete'\nPOWERLEVEL9K_LEFT_PROMPT_ELEMENTS=(\n  os_icon                 # \u64cd\u4f5c\u7cfb\u7edf\u56fe\u6807\n  dir                     # \u5f53\u524d\u76ee\u5f55\n  vcs                     # git\u72b6\u6001\n  newline                 # \u6362\u884c\n  prompt_char            # \u63d0\u793a\u7b26\n)\nPOWERLEVEL9K_RIGHT_PROMPT_ELEMENTS=(\n  status                  # \u4e0a\u4e00\u4e2a\u547d\u4ee4\u7684\u72b6\u6001\n  background_jobs        # \u540e\u53f0\u4efb\u52a1\n  load                   # \u7cfb\u7edf\u8d1f\u8f7d\n  ram                    # \u5185\u5b58\u4f7f\u7528\n  time                   # \u65f6\u95f4\n)\n\n# \u76ee\u5f55\u663e\u793a\u8bbe\u7f6e\nPOWERLEVEL9K_DIR_BACKGROUND='blue'\nPOWERLEVEL9K_DIR_FOREGROUND='black'\nPOWERLEVEL9K_SHORTEN_DIR_LENGTH=2\nPOWERLEVEL9K_SHORTEN_STRATEGY=\"truncate_middle\"\n\n# Git\u72b6\u6001\u8bbe\u7f6e\nPOWERLEVEL9K_VCS_CLEAN_BACKGROUND='green'\nPOWERLEVEL9K_VCS_UNTRACKED_BACKGROUND='yellow'\nPOWERLEVEL9K_VCS_MODIFIED_BACKGROUND='red'\nEOF\n\n# \u8fd0\u884c\u914d\u7f6e\u5411\u5bfc\uff08\u9996\u6b21\u4f7f\u7528\uff09\np10k configure\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_3","title":"\u4e8c\u3001\u9ad8\u7ea7\u63d2\u4ef6\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_1","title":"1. \u9ad8\u7ea7\u8865\u5168\u7cfb\u7edf","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u8865\u5168\u7cfb\u7edf\u914d\u7f6e\nautoload -Uz compinit\ncompinit\n\n# \u8865\u5168\u83dc\u5355\u8bbe\u7f6e\nzstyle ':completion:*' menu select\nzstyle ':completion:*' matcher-list 'm:{a-zA-Z}={A-Za-z}'   # \u5ffd\u7565\u5927\u5c0f\u5199\nzstyle ':completion:*' list-colors ${(s.:.)LS_COLORS}       # \u8865\u5168\u83dc\u5355\u7740\u8272\nzstyle ':completion:*' verbose yes                         # \u8be6\u7ec6\u8865\u5168\u83dc\u5355\nzstyle ':completion:*:descriptions' format '%U%B%d%b%u'     # \u8865\u5168\u83dc\u5355\u683c\u5f0f\nzstyle ':completion:*:warnings' format '%BSorry, no matches for: %d%b'\nzstyle ':completion:*:*:kill:*:processes' list-colors '=(#b) #([0-9]#)*=0=01;31'\nzstyle ':completion:*:kill:*' command 'ps -u $USER -o pid,%cpu,tty,cputime,cmd'\n\n# \u4f7f\u7528\u7f13\u5b58\u52a0\u901f\u8865\u5168\nzstyle ':completion:*' use-cache on\nzstyle ':completion:*' cache-path ~/.zsh/cache\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-fzf","title":"2. FZF \u96c6\u6210\u914d\u7f6e","text":"Bash<pre><code># \u5b89\u88c5FZF\ngit clone --depth 1 https://github.com/junegunn/fzf.git ~/.fzf\n~/.fzf/install\n\n# \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# FZF \u914d\u7f6e\nexport FZF_DEFAULT_COMMAND='fd --type f --hidden --follow --exclude .git'\nexport FZF_DEFAULT_OPTS='--height 40% --layout=reverse --border --preview \"bat --style=numbers --color=always --line-range :500 {}\"'\n\n# FZF \u5feb\u6377\u952e\nbindkey '^T' fzf-file-widget\nbindkey '^R' fzf-history-widget\nbindkey '^[c' fzf-cd-widget\n\n# FZF \u51fd\u6570\n# \u5feb\u901f\u6253\u5f00\u6587\u4ef6\nfe() {\n  local file\n  file=$(fzf --query=\"$1\" --select-1 --exit-0)\n  [ -n \"$file\" ] &amp;&amp; ${EDITOR:-vim} \"$file\"\n}\n\n# \u5feb\u901f\u5207\u6362\u76ee\u5f55\nfd() {\n  local dir\n  dir=$(find ${1:-.} -path '*/\\.*' -prune -o -type d -print 2&gt; /dev/null | fzf +m)\n  [ -n \"$dir\" ] &amp;&amp; cd \"$dir\"\n}\n\n# \u641c\u7d22\u5386\u53f2\u547d\u4ee4\nfh() {\n  print -z $( ([ -n \"$ZSH_NAME\" ] &amp;&amp; fc -l 1 || history) | fzf +s --tac | sed -E 's/ *[0-9]*\\*? *//' | sed -E 's/\\\\/\\\\\\\\/g')\n}\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3_1","title":"3. \u589e\u5f3a\u76ee\u5f55\u5bfc\u822a","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u76ee\u5f55\u4e66\u7b7e\nhash -d proj=~/projects\nhash -d docs=~/Documents\nhash -d dl=~/Downloads\nhash -d pics=~/Pictures\n\n# z \u63d2\u4ef6\u914d\u7f6e\nZSHZ_DATA=~/.local/share/z/data\nZSHZ_MAX_SCORE=5000\nZSHZ_CASE=smart\n\n# \u76ee\u5f55\u5806\u6808\u5bfc\u822a\nsetopt AUTO_PUSHD           # \u81ea\u52a8\u5c06\u76ee\u5f55\u52a0\u5165\u5806\u6808\nsetopt PUSHD_IGNORE_DUPS    # \u5ffd\u7565\u91cd\u590d\u76ee\u5f55\nsetopt PUSHD_SILENT        # \u9759\u9ed8\u6a21\u5f0f\nsetopt PUSHD_TO_HOME       # pushd \u4e0d\u5e26\u53c2\u6570\u65f6\u7b49\u540c\u4e8e pushd $HOME\n\n# \u76ee\u5f55\u522b\u540d\nalias -g ...='../..'\nalias -g ....='../../..'\nalias -g .....='../../../..'\nalias d='dirs -v'\nfor index ({1..9}) alias \"$index\"=\"cd +${index}\"; unset index\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#4_1","title":"4. \u589e\u5f3a\u5386\u53f2\u8bb0\u5f55\u641c\u7d22","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u5386\u53f2\u8bb0\u5f55\u641c\u7d22\u914d\u7f6e\nbindkey '^[[A' history-substring-search-up\nbindkey '^[[B' history-substring-search-down\nbindkey '^P' history-substring-search-up\nbindkey '^N' history-substring-search-down\n\n# \u5386\u53f2\u8bb0\u5f55\u683c\u5f0f\u5316\nHIST_STAMPS=\"yyyy-mm-dd\"\nHISTORY_IGNORE=\"(ls|ls *|cd|cd *|pwd|exit|date|* --help)\"\n\n# \u547d\u4ee4\u6267\u884c\u65f6\u95f4\u663e\u793a\nREPORTTIME=10\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#tabby","title":"Tabby \u7ec8\u7aef\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#_4","title":"\u4e00\u3001\u5b89\u88c5\u548c\u521d\u59cb\u5316","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1-tabby","title":"1. \u5b89\u88c5 Tabby","text":"Bash<pre><code># Ubuntu/Debian\nwget https://github.com/Eugeny/tabby/releases/latest/download/tabby-1.0.0-linux-x64.deb\nsudo dpkg -i tabby-*.deb\nsudo apt-get install -f\n\n# \u786e\u4fdd\u5b57\u4f53\u652f\u6301\nfc-cache -fv\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2_2","title":"2. \u521d\u59cb\u914d\u7f6e","text":"YAML<pre><code># ~/.config/tabby/config.yaml\nconfig:\n  version: 3\n\nterminal:\n  shell: zsh  # \u4f7f\u7528\u524d\u9762\u914d\u7f6e\u7684zsh\n  fontSize: 14\n  lineHeight: 1.2\n  bell: 'off'\n  copyOnSelect: true\n  rightClick: menu\n\n  # \u57fa\u7840\u73af\u5883\u53d8\u91cf\n  environment:\n    TERM: xterm-256color\n    COLORTERM: truecolor\n\n  # \u6027\u80fd\u8bbe\u7f6e\n  performanceMode: true\n  gpuAcceleration: true\n  webGL: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_5","title":"\u4e8c\u3001\u5916\u89c2\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_2","title":"1. \u5b57\u4f53\u8bbe\u7f6e","text":"YAML<pre><code>terminal:\n  font: JetBrainsMono Nerd Font  # \u786e\u4fdd\u5df2\u5b89\u88c5\n  fontSize: 14\n  lineHeight: 1.2\n  ligatures: true  # \u8fde\u5b57\u652f\u6301\n\n  # \u5b57\u4f53\u56de\u9000\n  fallbackFont: 'Sarasa Mono SC'  # \u4e2d\u6587\u652f\u6301\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-dracula","title":"2. Dracula \u4e3b\u9898\u914d\u7f6e","text":"YAML<pre><code>profiles:\n  - name: Default\n    theme:\n      name: 'Dracula'\n\n    colors:\n      background: '#282a36'\n      foreground: '#f8f8f2'\n      cursor: '#f8f8f2'\n\n      selection:\n        background: '#44475a'\n        foreground: '#f8f8f2'\n\n      # ANSI Colors\n      black: '#21222c'\n      red: '#ff5555'\n      green: '#50fa7b'\n      yellow: '#f1fa8c'\n      blue: '#bd93f9'\n      magenta: '#ff79c6'\n      cyan: '#8be9fd'\n      white: '#f8f8f2'\n\n      # Bright Colors\n      brightBlack: '#6272a4'\n      brightRed: '#ff6e6e'\n      brightGreen: '#69ff94'\n      brightYellow: '#ffffa5'\n      brightBlue: '#d6acff'\n      brightMagenta: '#ff92df'\n      brightCyan: '#a4ffff'\n      brightWhite: '#ffffff'\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3_2","title":"3. \u900f\u660e\u80cc\u666f\u914d\u7f6e","text":"YAML<pre><code>terminal:\n  background:\n    type: 'image'  # \u6216 'color'\n    image: '~/.config/tabby/backgrounds/bg.jpg'  # \u81ea\u5b9a\u4e49\u80cc\u666f\u56fe\u7247\n    opacity: 0.85  # \u900f\u660e\u5ea6\n\n  # \u4e9a\u514b\u529b\u6548\u679c\uff08Windows\uff09\n  experimental:\n    vibrancy: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_6","title":"\u4e09\u3001\u5feb\u6377\u952e\u914d\u7f6e","text":"YAML<pre><code>hotkeys:\n  # \u6807\u7b7e\u7ba1\u7406\n  new-tab: ['Ctrl+T']\n  close-tab: ['Ctrl+W']\n  previous-tab: ['Ctrl+Shift+Tab']\n  next-tab: ['Ctrl+Tab']\n\n  # \u5206\u5c4f\u64cd\u4f5c\n  split-right: ['Ctrl+Shift+E']\n  split-bottom: ['Ctrl+Shift+O']\n  split-nav-left: ['Alt+Left']\n  split-nav-right: ['Alt+Right']\n  split-nav-up: ['Alt+Up']\n  split-nav-down: ['Alt+Down']\n\n  # \u7ec8\u7aef\u64cd\u4f5c\n  clear: ['Ctrl+L']\n  copy: ['Ctrl+C']\n  paste: ['Ctrl+V']\n  search: ['Ctrl+Shift+F']\n\n  # \u89c6\u56fe\u63a7\u5236\n  zoom-in: ['Ctrl+Plus']\n  zoom-out: ['Ctrl+Minus']\n  reset-zoom: ['Ctrl+0']\n  toggle-fullscreen: ['F11']\n\n  # \u5feb\u901f\u547d\u4ee4\n  command-palette: ['Ctrl+Shift+P']\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#ssh","title":"\u56db\u3001SSH \u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1-ssh","title":"1. \u57fa\u7840 SSH \u914d\u7f6e","text":"YAML<pre><code>ssh:\n  auth:\n    agent: true\n    privateKeys:\n      - ~/.ssh/id_ed25519\n      - ~/.ssh/id_rsa\n\n  # \u8fde\u63a5\u4fdd\u6301\n  keepaliveInterval: 30\n  keepaliveCountMax: 3\n\n  # \u8f6c\u53d1\u8bbe\u7f6e\n  forwardAgent: true\n  x11: false\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-ssh","title":"2. SSH \u8fde\u63a5\u914d\u7f6e","text":"YAML<pre><code>ssh:\n  profiles:\n    - name: \"\u5f00\u53d1\u670d\u52a1\u5668\"\n      group: \"\u5f00\u53d1\u73af\u5883\"\n      host: dev.example.com\n      port: 22\n      user: username\n      auth: publicKey\n      privateKey: ~/.ssh/id_ed25519\n\n    - name: \"\u751f\u4ea7\u670d\u52a1\u5668\"\n      group: \"\u751f\u4ea7\u73af\u5883\"\n      host: prod.example.com\n      port: 22\n      user: username\n      auth: agent\n\n    - name: \"\u8df3\u677f\u673a\"\n      host: jump.example.com\n      forwardAgent: true\n      jumpHost: true  # \u6807\u8bb0\u4e3a\u8df3\u677f\u673a\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_7","title":"\u4e94\u3001\u63d2\u4ef6\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_3","title":"1. \u6838\u5fc3\u63d2\u4ef6","text":"YAML<pre><code>plugins:\n  # SSH\u7ba1\u7406\n  ssh:\n    enabled: true\n\n  # \u7ec8\u7aef\u5f55\u5236\n  record:\n    enabled: true\n    directory: ~/terminal-records\n\n  # \u547d\u4ee4\u9762\u677f\n  commander:\n    enabled: true\n\n  # \u4e3b\u9898\u63d2\u4ef6\n  community-color-schemes:\n    enabled: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2_3","title":"2. \u6269\u5c55\u529f\u80fd","text":"YAML<pre><code># \u641c\u7d22\u589e\u5f3a\nsearch:\n  enabled: true\n  searchOptions:\n    regex: true\n    wholeWord: false\n    caseSensitive: false\n\n# \u7ec8\u7aef\u5206\u5272\nsplit:\n  autoRemove: true  # \u81ea\u52a8\u5173\u95ed\u7a7a\u7ec8\u7aef\n  copyOnSelect: true\n  pasteOnMiddleClick: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_8","title":"\u516d\u3001\u6027\u80fd\u4f18\u5316","text":"YAML<pre><code># \u6027\u80fd\u76f8\u5173\u914d\u7f6e\nterminal:\n  # \u57fa\u7840\u4f18\u5316\n  performanceMode: true\n  gpuAcceleration: true\n  webGL: true\n\n  # \u5386\u53f2\u8bb0\u5f55\n  scrollback: 5000\n\n  # \u8fdb\u7a0b\u7ba1\u7406\n  autoClose: true\n  closeOnExit: true\n\n  # \u6e32\u67d3\u4f18\u5316\n  smoothScroll: false\n  experimentalFontRendering: false\n\n  # \u8d44\u6e90\u9650\u5236\n  environment:\n    LIMIT_MEMORY: 512  # MB\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_9","title":"\u5f00\u53d1\u5de5\u5177\u4e0e\u7ec8\u7aef\u5de5\u5177\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#_10","title":"\u4e00\u3001\u73b0\u4ee3\u547d\u4ee4\u884c\u5de5\u5177","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_4","title":"1. \u57fa\u7840\u5de5\u5177\u5b89\u88c5","text":"Bash<pre><code># \u5b89\u88c5\u57fa\u7840\u5de5\u5177\nsudo apt install -y \\\n    exa `# \u73b0\u4ee3ls\u66ff\u4ee3\u54c1` \\\n    bat `# \u73b0\u4ee3cat\u66ff\u4ee3\u54c1` \\\n    ripgrep `# \u73b0\u4ee3grep\u66ff\u4ee3\u54c1` \\\n    fd-find `# \u73b0\u4ee3find\u66ff\u4ee3\u54c1` \\\n    duf `# \u73b0\u4ee3df\u66ff\u4ee3\u54c1` \\\n    ncdu `# \u78c1\u76d8\u4f7f\u7528\u5206\u6790` \\\n    tldr `# \u547d\u4ee4\u7b80\u5316\u8bf4\u660e` \\\n    jq `# JSON\u5904\u7406` \\\n    fzf `# \u6a21\u7cca\u641c\u7d22`\n\n# \u521b\u5efa\u522b\u540d\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u73b0\u4ee3\u547d\u4ee4\u884c\u5de5\u5177\u522b\u540d\nalias ls='exa --icons'\nalias ll='exa -l --icons --git'\nalias la='exa -la --icons --git'\nalias lt='exa -T --icons --git-ignore'\nalias cat='batcat'\nalias find='fd'\nalias du='ncdu'\nalias df='duf'\nalias help='tldr'\n\n# fzf \u914d\u7f6e\nexport FZF_DEFAULT_OPTS=\"--height 40% --layout=reverse --border \\\n    --preview 'batcat --style=numbers --color=always --line-range :500 {}'\"\nexport FZF_DEFAULT_COMMAND='fd --type f --hidden --follow --exclude .git'\nexport FZF_CTRL_T_COMMAND=\"$FZF_DEFAULT_COMMAND\"\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-ranger","title":"2. \u6587\u4ef6\u7ba1\u7406\u5668 - Ranger","text":"Bash<pre><code># \u5b89\u88c5ranger\u548c\u4f9d\u8d56\nsudo apt install ranger python3-pillow ueberzug\n\n# \u751f\u6210\u914d\u7f6e\u6587\u4ef6\nranger --copy-config=all\n\n# \u914d\u7f6eRanger\ncat &lt;&lt; 'EOF' &gt; ~/.config/ranger/rc.conf\n# \u57fa\u7840\u8bbe\u7f6e\nset preview_images true\nset preview_images_method ueberzug\nset show_hidden true\nset hostname_in_titlebar false\nset tilde_in_titlebar true\nset line_numbers relative\nset mouse_enabled true\n\n# \u914d\u8272\u65b9\u6848\nset colorscheme solarized\n\n# \u6587\u4ef6\u9884\u89c8\nset use_preview_script true\nset preview_files true\nset preview_directories true\nset collapse_preview true\n\n# \u5feb\u6377\u952e\nmap &lt;C-f&gt; fzf_select\nmap &lt;C-p&gt; shell -w echo %d/%f | xsel -b\nmap &lt;C-g&gt; shell lazygit\nEOF\n\n# \u6dfb\u52a0FZF\u96c6\u6210\ncat &lt;&lt; 'EOF' &gt; ~/.config/ranger/commands.py\nfrom ranger.api.commands import Command\nclass fzf_select(Command):\n    def execute(self):\n        import subprocess\n        import os.path\n        command=\"find -L . \\( -path '*/\\.*' -o -fstype 'dev' -o -fstype 'proc' \\) -prune \\\n            -o -print 2&gt; /dev/null | sed 1d | cut -b3- | fzf +m\"\n        fzf = self.fm.execute_command(command, universal_newlines=True, stdout=subprocess.PIPE)\n        stdout, stderr = fzf.communicate()\n        if fzf.returncode == 0:\n            fzf_file = os.path.abspath(stdout.rstrip('\\n'))\n            if os.path.isdir(fzf_file):\n                self.fm.cd(fzf_file)\n            else:\n                self.fm.select_file(fzf_file)\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3-htopglances","title":"3. \u7cfb\u7edf\u76d1\u63a7 - htop/glances","text":"Bash<pre><code># \u5b89\u88c5\u5de5\u5177\nsudo apt install htop glances\n\n# htop\u914d\u7f6e\nmkdir -p ~/.config/htop\ncat &lt;&lt; 'EOF' &gt; ~/.config/htop/htoprc\n# \u57fa\u7840\u663e\u793a\u8bbe\u7f6e\nshow_cpu_frequency=1\nshow_cpu_temperature=1\nshow_program_path=0\nhighlight_base_name=1\nhighlight_megabytes=1\nhighlight_threads=1\n\n# \u663e\u793a\u8bbe\u7f6e\nfields=0 48 17 18 38 39 40 2 46 47 49 1\nsort_key=46\nsort_direction=-1\ntree_view=1\ntree_view_always_by_pid=0\n\n# \u989c\u8272\u8bbe\u7f6e\ncolor_scheme=0\nEOF\n\n# glances\u914d\u7f6e\nmkdir -p ~/.config/glances\ncat &lt;&lt; 'EOF' &gt; ~/.config/glances/glances.conf\n[global]\n# \u5237\u65b0\u95f4\u9694\nrefresh=2\n# \u5386\u53f2\u5927\u5c0f\nhistory_size=1200\n\n[cpu]\n# CPU \u8b66\u544a\u9608\u503c\ncareful=50\nwarning=70\ncritical=90\n\n[memory]\n# \u5185\u5b58\u8b66\u544a\u9608\u503c\ncareful=50\nwarning=70\ncritical=90\n\n[network]\n# \u7f51\u7edc\u5e26\u5bbd\u663e\u793a\u5355\u4f4d (bit/sec)\nunit=bit\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#4-git-lazygit","title":"4. Git \u5de5\u5177 - Lazygit","text":"Bash<pre><code># \u5b89\u88c5Lazygit\nLAZYGIT_VERSION=$(curl -s \"https://api.github.com/repos/jesseduffield/lazygit/releases/latest\" | grep -Po '\"tag_name\": \"v\\K[^\"]*')\ncurl -Lo lazygit.tar.gz \"https://github.com/jesseduffield/lazygit/releases/latest/download/lazygit_${LAZYGIT_VERSION}_Linux_x86_64.tar.gz\"\nsudo tar xf lazygit.tar.gz -C /usr/local/bin lazygit\n\n# \u914d\u7f6eLazygit\nmkdir -p ~/.config/lazygit\ncat &lt;&lt; 'EOF' &gt; ~/.config/lazygit/config.yml\ngui:\n  # UI\u4e3b\u9898\n  theme:\n    lightTheme: false\n    activeBorderColor:\n      - green\n      - bold\n    inactiveBorderColor:\n      - white\n    selectedLineBgColor:\n      - reverse\n  # \u5e38\u7528\u8bbe\u7f6e  \n  showFileTree: true\n  showRandomTip: false\n  showCommandLog: false\n\ngit:\n  # git\u8bbe\u7f6e\n  paging:\n    colorArg: always\n    useConfig: true\n  # commit\u8bbe\u7f6e\n  commits:\n    showGraph: always\n    showWholeGraph: true\n  # \u81ea\u52a8\u83b7\u53d6\n  autoFetch: true\n  # \u5206\u652f\u663e\u793a\n  branchLogCmd: \"git log --graph --color=always --abbrev-commit --decorate --date=relative --pretty=medium {{branchName}} --\"\n\nkeybinding:\n  # \u81ea\u5b9a\u4e49\u5feb\u6377\u952e\n  universal:\n    return: '&lt;c-c&gt;'\n    quit: 'q'\n    quit-alt1: '&lt;esc&gt;'\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#5_1","title":"5. \u4ee3\u7801\u641c\u7d22\u5de5\u5177","text":"Bash<pre><code># ripgrep\u914d\u7f6e\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# ripgrep \u914d\u7f6e\nexport RIPGREP_CONFIG_PATH=\"$HOME/.ripgreprc\"\n\n# ripgrep \u522b\u540d\nalias rg='rg --smart-case'\nalias rgf='rg --files | rg'\nalias rgh='rg --hidden'\nalias rgc='rg --count'\n\n# fzf + ripgrep \u96c6\u6210\nfif() {\n    if [ ! \"$#\" -gt 0 ]; then echo \"Need a string to search for!\"; return 1; fi\n    rg --files-with-matches --no-messages \"$1\" | fzf --preview \"highlight -O ansi -l {} 2&gt; /dev/null | rg --colors 'match:bg:yellow' --ignore-case --pretty --context 10 '$1' || rg --ignore-case --pretty --context 10 '$1' {}\"\n}\nEOF\n\n# \u521b\u5efaripgrep\u914d\u7f6e\u6587\u4ef6\ncat &lt;&lt; 'EOF' &gt; ~/.ripgreprc\n# \u9ed8\u8ba4\u914d\u7f6e\n--smart-case\n--hidden\n--follow\n--glob=!.git/*\n\n# \u641c\u7d22\u914d\u7f6e\n--max-columns=150\n--max-columns-preview\n\n# \u989c\u8272\u914d\u7f6e\n--colors=line:fg:yellow\n--colors=line:style:bold\n--colors=path:fg:green\n--colors=path:style:bold\n--colors=match:fg:black\n--colors=match:bg:yellow\n--colors=match:style:nobold\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#6","title":"6. \u5b9e\u7528\u5f00\u53d1\u5de5\u5177","text":"Bash<pre><code># \u5b89\u88c5\u5f00\u53d1\u8f85\u52a9\u5de5\u5177\nsudo apt install -y \\\n    shellcheck `# shell\u811a\u672c\u68c0\u67e5` \\\n    python3-pip `# Python\u5305\u7ba1\u7406` \\\n    nodejs npm `# Node.js\u73af\u5883` \\\n    golang `# Go\u8bed\u8a00\u73af\u5883` \\\n    docker.io `# Docker\u652f\u6301` \\\n    postgresql-client `# \u6570\u636e\u5e93\u5ba2\u6237\u7aef` \\\n    redis-tools `# Redis\u5ba2\u6237\u7aef` \\\n    mycli `# MySQL\u5ba2\u6237\u7aef` \\\n    httpie `# HTTP\u5ba2\u6237\u7aef`\n\n# \u6dfb\u52a0\u5b9e\u7528\u522b\u540d\u548c\u51fd\u6570\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# Docker\u522b\u540d\nalias dk='docker'\nalias dkc='docker-compose'\nalias dkps='docker ps'\nalias dkst='docker stats'\nalias dkimg='docker images'\nalias dkpull='docker pull'\nalias dkexec='docker exec -it'\n\n# \u5f00\u53d1\u8f85\u52a9\u51fd\u6570\n# \u5feb\u901fHTTP\u670d\u52a1\u5668\nserve() {\n    local port=\"${1:-8000}\"\n    python3 -m http.server \"$port\"\n}\n\n# JSON\u683c\u5f0f\u5316\njson() {\n    if [ -t 0 ]; then  # \u53c2\u6570\u8f93\u5165\n        python -m json.tool &lt;&lt;&lt; \"$*\" | pygmentize -l json\n    else  # \u7ba1\u9053\u8f93\u5165\n        python -m json.tool | pygmentize -l json\n    fi\n}\n\n# Git\u5206\u652f\u6e05\u7406\ngit-clean() {\n    git branch --merged | egrep -v \"(^\\*|master|main|dev)\" | xargs git branch -d\n}\n\n# \u73af\u5883\u53d8\u91cf\u7ba1\u7406\nenvfile() {\n    if [[ -f \"$1\" ]]; then\n        set -a\n        source \"$1\"\n        set +a\n    else\n        echo \"Error: File $1 not found\"\n        return 1\n    fi\n}\nEOF\n</code></pre>"},{"location":"Technology/chezmoi/","title":"\u7528 chezmoi \u5b9e\u73b0\u8de8\u8bbe\u5907\u540c\u6b65\u914d\u7f6e","text":"<p> \u7ea6 512 \u4e2a\u5b57  142 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p>\u672c\u6307\u5357\u5c06\u5e2e\u52a9\u4f60\u4f7f\u7528 chezmoi \u7ba1\u7406\u4f60\u7684\u914d\u7f6e\u6587\u4ef6\uff08dotfiles\uff09\uff0c\u5e76\u4f7f\u7528\u5305\u7ba1\u7406\u5668\u7ef4\u62a4\u8f6f\u4ef6\u5217\u8868\u3002</p>"},{"location":"Technology/chezmoi/#_1","title":"\u524d\u671f\u51c6\u5907","text":""},{"location":"Technology/chezmoi/#1","title":"1. \u9700\u8981\u7684\u5de5\u5177","text":"<ul> <li>Git</li> <li>GitHub \u8d26\u53f7</li> <li>chezmoi</li> <li>\u5305\u7ba1\u7406\u5668\uff08Windows: Scoop, Ubuntu: apt/snap\uff09</li> </ul>"},{"location":"Technology/chezmoi/#2","title":"2. \u91cd\u8981\u7684\u914d\u7f6e\u6587\u4ef6","text":"<p>Windows \u5e38\u7528\u914d\u7f6e\u6587\u4ef6:</p> Text Only<pre><code>%USERPROFILE%/\n\u251c\u2500\u2500 .gitconfig                        # Git\u914d\u7f6e\n\u251c\u2500\u2500 .ssh/                            # SSH\u914d\u7f6e\n\u251c\u2500\u2500 Documents/\n\u2502   \u2514\u2500\u2500 PowerShell/\n\u2502       \u2514\u2500\u2500 Microsoft.PowerShell_profile.ps1  # PowerShell\u914d\u7f6e\n\u251c\u2500\u2500 AppData/\n\u2502   \u251c\u2500\u2500 Roaming/\n\u2502   \u2502   \u2514\u2500\u2500 Code/\n\u2502   \u2502       \u2514\u2500\u2500 User/\n\u2502   \u2502           \u2514\u2500\u2500 settings.json    # VSCode\u914d\u7f6e\n\u2502   \u2514\u2500\u2500 Local/\n\u2514\u2500\u2500 .config/\n    \u2514\u2500\u2500 scoop/\n        \u2514\u2500\u2500 config.json              # Scoop\u914d\u7f6e\n</code></pre> <p>Ubuntu \u5e38\u7528\u914d\u7f6e\u6587\u4ef6:</p> Text Only<pre><code>~/\n\u251c\u2500\u2500 .bashrc                          # Bash\u914d\u7f6e\n\u251c\u2500\u2500 .zshrc                           # Zsh\u914d\u7f6e\n\u251c\u2500\u2500 .gitconfig                       # Git\u914d\u7f6e\n\u251c\u2500\u2500 .ssh/                           # SSH\u914d\u7f6e\n\u2514\u2500\u2500 .config/\n    \u251c\u2500\u2500 Code/\n    \u2502   \u2514\u2500\u2500 User/\n    \u2502       \u2514\u2500\u2500 settings.json       # VSCode\u914d\u7f6e\n    \u2514\u2500\u2500 tabby/\n        \u2514\u2500\u2500 config.yaml            # Tabby\u7ec8\u7aef\u914d\u7f6e\n</code></pre>"},{"location":"Technology/chezmoi/#github","title":"GitHub \u8bbe\u7f6e","text":""},{"location":"Technology/chezmoi/#1-github","title":"1. \u521b\u5efa GitHub \u4ed3\u5e93","text":"<ol> <li>\u8bbf\u95ee GitHub \u5e76\u767b\u5f55</li> <li>\u70b9\u51fb \"New repository\"</li> <li>\u4ed3\u5e93\u540d\u79f0\u8bbe\u7f6e\u4e3a <code>dotfiles</code></li> <li>\u8bbe\u7f6e\u4e3a Public\uff08\u63a8\u8350\uff09</li> <li>\u4e0d\u8981\u521d\u59cb\u5316 README\uff08\u6211\u4eec\u5c06\u4ece\u672c\u5730\u521d\u59cb\u5316\uff09</li> <li>\u521b\u5efa\u4ed3\u5e93</li> </ol>"},{"location":"Technology/chezmoi/#2-ssh","title":"2. \u914d\u7f6e SSH \u5bc6\u94a5\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09","text":"Bash<pre><code># \u751f\u6210SSH\u5bc6\u94a5\nssh-keygen -t ed25519 -C \"your_email@example.com\"\n\n# \u5c06\u516c\u94a5\u6dfb\u52a0\u5230GitHub\n# 1. \u590d\u5236\u516c\u94a5\u5185\u5bb9\ncat ~/.ssh/id_ed25519.pub\n# 2. \u8bbf\u95ee GitHub \u2192 Settings \u2192 SSH and GPG keys \u2192 New SSH key\n# 3. \u7c98\u8d34\u516c\u94a5\u5185\u5bb9\u5e76\u4fdd\u5b58\n</code></pre>"},{"location":"Technology/chezmoi/#windows","title":"Windows \u914d\u7f6e","text":""},{"location":"Technology/chezmoi/#1_1","title":"1. \u5b89\u88c5\u5fc5\u8981\u5de5\u5177","text":"<p>\u4f7f\u7528 PowerShell\uff08\u4ee5\u7ba1\u7406\u5458\u8eab\u4efd\u8fd0\u884c\uff09\uff1a</p> PowerShell<pre><code># \u5b89\u88c5Scoop\nSet-ExecutionPolicy RemoteSigned -Scope CurrentUser\nirm get.scoop.sh | iex\n\n# \u5b89\u88c5Git\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09\nscoop install git\n\n# \u5b89\u88c5chezmoi\nscoop install chezmoi\n</code></pre>"},{"location":"Technology/chezmoi/#2-chezmoi","title":"2. \u521d\u59cb\u5316 chezmoi","text":"PowerShell<pre><code># \u521d\u59cb\u5316chezmoi\u5e76\u514b\u9686\u4f60\u7684\u4ed3\u5e93\nchezmoi init --apply https://github.com/yourusername/dotfiles.git\n# \u7528 ssh \u4e5f\u53ef\u4ee5\n\n# \u67e5\u770bchezmoi\u5c06\u8fdb\u884c\u7684\u66f4\u6539\nchezmoi diff\n\n# \u5c06\u73b0\u6709\u914d\u7f6e\u6587\u4ef6\u6dfb\u52a0\u5230chezmoi\nchezmoi add $HOME/.gitconfig\nchezmoi add $HOME/.ssh/config\nchezmoi add $HOME/Documents/PowerShell/Microsoft.PowerShell_profile.ps1\nchezmoi add $HOME/AppData/Roaming/Code/User/settings.json\n\n# \u63d0\u4ea4\u5e76\u63a8\u9001\u66f4\u6539\nchezmoi cd\ngit add .\ngit commit -m \"Initial Windows config\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#3","title":"3. \u5bfc\u51fa\u8f6f\u4ef6\u5305\u5217\u8868","text":"PowerShell<pre><code># \u5bfc\u51faScoop\u5305\u5217\u8868\nscoop export &gt; packages/scoop-packages.txt\n\n# \u63d0\u4ea4\u5305\u5217\u8868\nchezmoi cd\ngit add packages/scoop-packages.txt\ngit commit -m \"Add Windows package list\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#ubuntu","title":"Ubuntu \u914d\u7f6e","text":""},{"location":"Technology/chezmoi/#1_2","title":"1. \u5b89\u88c5\u5fc5\u8981\u5de5\u5177","text":"Bash<pre><code># \u5b89\u88c5Git\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09\nsudo apt update\nsudo apt install git\n\n# \u5b89\u88c5chezmoi\nsh -c \"$(curl -fsLS get.chezmoi.io)\"\n</code></pre> <p>\u53c2\u8003\u8fd9\u4e2a\u7f51\u7ad9 Install - chezmoi \u8fdb\u884c\u4e0b\u8f7d\uff0c\u6211\u547d\u4ee4\u884c\u4e00\u76f4\u4e0d\u6210\u529f\uff0c\u76f4\u63a5\u9009\u62e9\u5bf9\u5e94\u7684\u5305\u5c31\u884c\u4e86\u3002</p> Text Only<pre><code>sudo dpkg -i chezmoi_2.54.0_linux_amd64.deb\nchezmoi --version\n</code></pre>"},{"location":"Technology/chezmoi/#2-chezmoi_1","title":"2. \u521d\u59cb\u5316 chezmoi","text":"Bash<pre><code># \u521d\u59cb\u5316chezmoi\u5e76\u514b\u9686\u4f60\u7684\u4ed3\u5e93\nchezmoi init --apply https://github.com/yourusername/dotfiles.git\n\n# \u67e5\u770bchezmoi\u5c06\u8fdb\u884c\u7684\u66f4\u6539\nchezmoi diff\n\n# \u5c06\u73b0\u6709\u914d\u7f6e\u6587\u4ef6\u6dfb\u52a0\u5230chezmoi\nchezmoi add ~/.bashrc\nchezmoi add ~/.zshrc\nchezmoi add ~/.gitconfig\nchezmoi add ~/.ssh/config\nchezmoi add ~/.config/Code/User/settings.json\n\n# \u63d0\u4ea4\u5e76\u63a8\u9001\u66f4\u6539\nchezmoi cd\ngit add .\ngit commit -m \"Initial Ubuntu config\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#3_1","title":"3. \u5bfc\u51fa\u8f6f\u4ef6\u5305\u5217\u8868","text":"Bash<pre><code>chezmoi cd\nmkdir packages\n# \u5bfc\u51faapt\u5305\u5217\u8868\ndpkg --get-selections | grep -v deinstall | awk '{print $1}' &gt; packages/apt-packages.txt\n\n# \u5bfc\u51fasnap\u5305\u5217\u8868\nsnap list | awk '{if (NR&gt;1) print $1}' &gt; packages/snap-packages.txt\n\n# \u63d0\u4ea4\u5305\u5217\u8868\ngit add packages/apt-packages.txt packages/snap-packages.txt\ngit commit -m \"Add Ubuntu package lists\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#_2","title":"\u65e5\u5e38\u4f7f\u7528","text":""},{"location":"Technology/chezmoi/#1_3","title":"1. \u66f4\u65b0\u914d\u7f6e","text":"<p>\u5f53\u4f60\u4fee\u6539\u4e86\u914d\u7f6e\u6587\u4ef6\u540e\uff1a</p> Bash<pre><code># \u5c06\u66f4\u6539\u6dfb\u52a0\u5230chezmoi\nchezmoi add ~/.bashrc  # \u6216\u5176\u4ed6\u4fee\u6539\u7684\u914d\u7f6e\u6587\u4ef6\n\n# \u67e5\u770b\u66f4\u6539\nchezmoi diff\n\n# \u63d0\u4ea4\u5e76\u63a8\u9001\u66f4\u6539\nchezmoi cd\ngit add .\ngit commit -m \"Update bashrc\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#2_1","title":"2. \u5728\u5176\u4ed6\u673a\u5668\u4e0a\u540c\u6b65","text":"Bash<pre><code># \u62c9\u53d6\u5e76\u5e94\u7528\u6700\u65b0\u66f4\u6539\nchezmoi update\n</code></pre>"},{"location":"Technology/chezmoi/#3_2","title":"3. \u66f4\u65b0\u8f6f\u4ef6\u5305\u5217\u8868","text":"<p>Windows:</p> PowerShell<pre><code># \u66f4\u65b0Scoop\u5305\u5217\u8868\nscoop export &gt; packages/scoop-packages.txt\n</code></pre> <p>Ubuntu:</p> Bash<pre><code># \u66f4\u65b0apt\u5305\u5217\u8868\ndpkg --get-selections | grep -v deinstall | awk '{print $1}' &gt; packages/apt-packages.txt\n\n# \u66f4\u65b0snap\u5305\u5217\u8868\nsnap list | awk '{if (NR&gt;1) print $1}' &gt; packages/snap-packages.txt\n</code></pre>"},{"location":"Technology/chezmoi/#4","title":"4. \u5728\u65b0\u673a\u5668\u4e0a\u8bbe\u7f6e","text":"<p>Windows:</p> PowerShell<pre><code># \u5b89\u88c5chezmoi\nscoop install chezmoi\n\n# \u521d\u59cb\u5316\u5e76\u5e94\u7528\u914d\u7f6e\nchezmoi init https://github.com/yourusername/dotfiles.git\nchezmoi apply\n</code></pre> <p>Ubuntu:</p> Bash<pre><code># \u5b89\u88c5chezmoi\nsh -c \"$(curl -fsLS get.chezmoi.io)\"\n\n# \u521d\u59cb\u5316\u5e76\u5e94\u7528\u914d\u7f6e\nchezmoi init https://github.com/yourusername/dotfiles.git\nchezmoi apply\n</code></pre>"},{"location":"Technology/chezmoi/#_3","title":"\u5e38\u89c1\u95ee\u9898","text":""},{"location":"Technology/chezmoi/#1_4","title":"1. \u5982\u4f55\u5904\u7406\u4e0d\u540c\u673a\u5668\u7684\u7279\u5b9a\u914d\u7f6e\uff1f","text":"<p>\u4f7f\u7528\u6a21\u677f\u548c\u6761\u4ef6\u8bed\u53e5\u3002\u5728 <code>.chezmoi.toml.tmpl</code> \u4e2d\uff1a</p> TOML<pre><code>{{- $osid := .chezmoi.os -}}\n[data]\n    name = \"Your Name\"\n    email = \"your@email.com\"\n    {{- if eq .chezmoi.os \"windows\" }}\n    is_windows = true\n    {{- else if eq .chezmoi.os \"linux\" }}\n    is_linux = true\n    {{- end }}\n</code></pre>"},{"location":"Technology/chezmoi/#2_2","title":"2. \u5982\u4f55\u5904\u7406\u654f\u611f\u4fe1\u606f\uff1f","text":"<p>\u5bf9\u4e8e\u654f\u611f\u4fe1\u606f\uff0c\u53ef\u4ee5\uff1a</p> <ol> <li>\u4f7f\u7528\u6a21\u677f\u548c\u73af\u5883\u53d8\u91cf</li> <li>\u4f7f\u7528 chezmoi \u7684\u52a0\u5bc6\u529f\u80fd</li> <li>\u5c06\u654f\u611f\u4fe1\u606f\u5b58\u50a8\u5728\u5355\u72ec\u7684\u79c1\u6709\u4ed3\u5e93\u4e2d</li> </ol>"},{"location":"Technology/chezmoi/#3_3","title":"3. \u5982\u4f55\u64a4\u9500\u66f4\u6539\uff1f","text":"Bash<pre><code># \u67e5\u770b\u5c06\u8981\u8fdb\u884c\u7684\u66f4\u6539\nchezmoi diff\n\n# \u5982\u679c\u4e0d\u6ee1\u610f\uff0c\u53ef\u4ee5\u64a4\u9500\nchezmoi forget ~/.bashrc  # \u79fb\u9664\u6587\u4ef6\u7684\u7ba1\u7406\n\n# \u6216\u8005\u91cd\u7f6e\u4e3a\u539f\u59cb\u72b6\u6001\nchezmoi apply --force\n</code></pre>"},{"location":"Technology/chezmoi/#4_1","title":"4. \u914d\u7f6e\u6587\u4ef6\u6743\u9650\u95ee\u9898\uff1f","text":"<p>chezmoi \u4f1a\u81ea\u52a8\u5904\u7406\u6587\u4ef6\u6743\u9650\u3002\u5bf9\u4e8e\u7279\u6b8a\u6743\u9650\u9700\u6c42\uff0c\u53ef\u4ee5\u5728\u6e90\u6587\u4ef6\u540d\u4e2d\u4f7f\u7528\u7279\u6b8a\u524d\u7f00\uff1a</p> <ul> <li><code>private_</code> : \u521b\u5efa\u79c1\u6709\u6587\u4ef6 (chmod 600)</li> <li><code>executable_</code> : \u521b\u5efa\u53ef\u6267\u884c\u6587\u4ef6 (chmod 700)</li> <li><code>readonly_</code> : \u521b\u5efa\u53ea\u8bfb\u6587\u4ef6 (chmod 400)</li> </ul>"},{"location":"Technology/chezmoi/#5","title":"5. \u5982\u4f55\u67e5\u770b\u7ba1\u7406\u7684\u6587\u4ef6\uff1f","text":"Bash<pre><code># \u5217\u51fa\u6240\u6709\u7ba1\u7406\u7684\u6587\u4ef6\nchezmoi managed\n\n# \u67e5\u770b\u6e90\u6587\u4ef6\nchezmoi cd\nls -la\n</code></pre>"},{"location":"Technology/chezmoi/#6","title":"6. \u66f4\u65b0\u51fa\u9519\u600e\u4e48\u529e\uff1f","text":"Bash<pre><code># \u5907\u4efd\u5f53\u524d\u72b6\u6001\nchezmoi archive --output=backup.tar.gz\n\n# \u91cd\u7f6e\u66f4\u6539\nchezmoi init --force\n\n# \u91cd\u65b0\u5e94\u7528\u914d\u7f6e\nchezmoi apply\n</code></pre>"},{"location":"Technology/ffb6d-docker/","title":"Docker\u4ece\u5165\u95e8\u5230\u5b9e\u8df5\uff1a\u4ee5FFB6D\u73af\u5883\u914d\u7f6e\u4e3a\u4f8b","text":"<p> \u7ea6 653 \u4e2a\u5b57  213 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p>"},{"location":"Technology/ffb6d-docker/#1","title":"1. \u7b80\u4ecb","text":"<p>Docker\u662f\u4e00\u4e2a\u5f00\u6e90\u7684\u5e94\u7528\u5bb9\u5668\u5f15\u64ce\uff0c\u8ba9\u5f00\u53d1\u8005\u53ef\u4ee5\u6253\u5305\u4ed6\u4eec\u7684\u5e94\u7528\u4ee5\u53ca\u4f9d\u8d56\u5305\u5230\u4e00\u4e2a\u53ef\u79fb\u690d\u7684\u5bb9\u5668\u4e2d\uff0c\u7136\u540e\u53d1\u5e03\u5230\u4efb\u4f55\u6d41\u884c\u7684Linux\u6216Windows\u64cd\u4f5c\u7cfb\u7edf\u4e0a\u3002\u672c\u6587\u5c06\u4ee5\u914d\u7f6eFFB6D\uff08\u4e00\u4e2a3D\u76ee\u6807\u68c0\u6d4b\u6a21\u578b\uff09\u7684\u8fd0\u884c\u73af\u5883\u4e3a\u4f8b\uff0c\u4ecb\u7ecdDocker\u7684\u57fa\u672c\u4f7f\u7528\u3002</p>"},{"location":"Technology/ffb6d-docker/#2","title":"2. \u73af\u5883\u51c6\u5907","text":""},{"location":"Technology/ffb6d-docker/#21","title":"2.1 \u7cfb\u7edf\u8981\u6c42","text":"<ul> <li>Ubuntu 20.04/22.04/24.04 </li> <li>NVIDIA GPU\uff08\u652f\u6301CUDA\uff09</li> <li>\u81f3\u5c118GB\u5185\u5b58</li> <li>\u81f3\u5c1130GB\u78c1\u76d8\u7a7a\u95f4</li> </ul>"},{"location":"Technology/ffb6d-docker/#22","title":"2.2 \u57fa\u7840\u7ec4\u4ef6\u5b89\u88c5","text":"<p>\u5b89\u88c5Docker</p> Bash<pre><code># \u66f4\u65b0apt\u5305\u7d22\u5f15\nsudo apt-get update\n\n# \u5b89\u88c5\u5fc5\u8981\u7684\u7cfb\u7edf\u5de5\u5177\nsudo apt-get install -y \\\n    apt-transport-https \\\n    ca-certificates \\\n    curl \\\n    gnupg \\\n    lsb-release\n\n# \u6dfb\u52a0Docker\u7684\u5b98\u65b9GPG\u5bc6\u94a5\ncurl -fsSL https://download.docker.com/linux/ubuntu/gpg | sudo gpg --dearmor -o /usr/share/keyrings/docker-archive-keyring.gpg\n\n# \u8bbe\u7f6e\u7a33\u5b9a\u7248\u4ed3\u5e93\necho \\\n  \"deb [arch=amd64 signed-by=/usr/share/keyrings/docker-archive-keyring.gpg] https://download.docker.com/linux/ubuntu \\\n  $(lsb_release -cs) stable\" | sudo tee /etc/apt/sources.list.d/docker.list &gt; /dev/null\n\n# \u5b89\u88c5Docker Engine\nsudo apt-get update\nsudo apt-get install -y docker-ce docker-ce-cli containerd.io\n\n# \u9a8c\u8bc1\u5b89\u88c5\nsudo docker run hello-world\n</code></pre> <p>\u5b89\u88c5NVIDIA\u9a71\u52a8</p> Bash<pre><code># \u6dfb\u52a0NVIDIA\u5305\u4ed3\u5e93\nsudo add-apt-repository ppa:graphics-drivers/ppa\nsudo apt-get update\n\n# \u5b89\u88c5NVIDIA\u9a71\u52a8\nsudo apt-get install -y nvidia-driver-535  # \u6839\u636e\u9700\u8981\u9009\u62e9\u7248\u672c\n\n# \u91cd\u542f\u7cfb\u7edf\nsudo reboot\n\n# \u9a8c\u8bc1\u5b89\u88c5\nnvidia-smi\n</code></pre> <p>\u5b89\u88c5NVIDIA Container Toolkit</p> Bash<pre><code># \u8bbe\u7f6e\u7a33\u5b9a\u7248\u4ed3\u5e93\ncurl -fsSL https://nvidia.github.io/libnvidia-container/gpgkey | sudo gpg --dearmor -o /usr/share/keyrings/nvidia-container-toolkit-keyring.gpg\n\necho \"deb [signed-by=/usr/share/keyrings/nvidia-container-toolkit-keyring.gpg] https://nvidia.github.io/libnvidia-container/stable/ubuntu22.04/$(arch) /\" | sudo tee /etc/apt/sources.list.d/nvidia-container-toolkit.list\n\n# \u66f4\u65b0\u8f6f\u4ef6\u5305\u5217\u8868\nsudo apt-get update\n\n# \u5b89\u88c5nvidia-docker2\nsudo apt-get install -y nvidia-container-toolkit\n\n# \u91cd\u542fDocker\u670d\u52a1\nsudo systemctl restart docker\n\n# \u6d4b\u8bd5GPU\u652f\u6301\nsudo docker run --rm --gpus all nvidia/cuda:12.0-base nvidia-smi\n</code></pre>"},{"location":"Technology/ffb6d-docker/#23-docker","title":"2.3 Docker\u914d\u7f6e\u4f18\u5316","text":"<p>\u914d\u7f6e\u955c\u50cf\u52a0\u901f</p> Bash<pre><code>sudo tee /etc/docker/daemon.json &lt;&lt; EOF\n{\n  \"registry-mirrors\": [\n    \"https://docker.1panel.dev\",\n    \"https://docker.zhai.cm\",\n    \"https://hub.littlediary.cn\",\n    \"https://docker.nastool.de\"\n  ],\n  \"dns\": [\"8.8.8.8\", \"8.8.4.4\"],\n  \"max-concurrent-downloads\": 10,\n  \"log-driver\": \"json-file\",\n  \"log-opts\": {\n    \"max-size\": \"10m\",\n    \"max-file\": \"3\"\n  }\n}\nEOF\n\nsudo systemctl daemon-reload\nsudo systemctl restart docker\n</code></pre>"},{"location":"Technology/ffb6d-docker/#3-ffb6d","title":"3. FFB6D\u73af\u5883\u914d\u7f6e\u5b9e\u4f8b","text":""},{"location":"Technology/ffb6d-docker/#31","title":"3.1 \u9879\u76ee\u7ed3\u6784","text":"Bash<pre><code>ffb6d_docker/\n\u251c\u2500\u2500 Dockerfile\n\u251c\u2500\u2500 docker-compose.yml\n\u251c\u2500\u2500 build_and_run.sh\n\u251c\u2500\u2500 downloads/\n\u2502   \u251c\u2500\u2500 apex/\n\u2502   \u2514\u2500\u2500 normalspeed/\n\u251c\u2500\u2500 code/\n\u251c\u2500\u2500 datasets/\n\u251c\u2500\u2500 models/\n\u2514\u2500\u2500 train_log/\n</code></pre>"},{"location":"Technology/ffb6d-docker/#32-dockerfile","title":"3.2 \u521b\u5efaDockerfile","text":"Docker<pre><code># \u4f7f\u7528\u8f83\u65b0\u7684 CUDA \u955c\u50cf\nFROM nvcr.io/nvidia/cuda:11.0.3-cudnn8-devel-ubuntu18.04\n\n# \u4f7f\u7528 NVIDIA CUDA 11.3 \u57fa\u7840\u955c\u50cf\n# FROM nvcr.io/nvidia/cuda:11.3.1-cudnn8-devel-ubuntu20.04\n\n# \u907f\u514d\u4ea4\u4e92\u5f0f\u63d0\u793a\nENV DEBIAN_FRONTEND=noninteractive\nENV PYTHONPATH=/workspace/code\nENV CUDA_HOME=/usr/local/cuda\nENV PATH=$CUDA_HOME/bin:$PATH\nENV LD_LIBRARY_PATH=$CUDA_HOME/lib64:$LD_LIBRARY_PATH\n\nWORKDIR /workspace\n\n# \u5b89\u88c5\u7cfb\u7edf\u4f9d\u8d56\nRUN apt-get update &amp;&amp; apt-get install -y \\\n    python3.6 \\\n    python3.6-dev \\\n    python3-pip \\\n    git \\\n    cmake \\\n    build-essential \\\n    libopencv-dev \\\n    libglib2.0-0 \\\n    libsm6 \\\n    libxext6 \\\n    libxrender-dev \\\n    libboost-all-dev \\\n    libeigen3-dev \\\n    wget \\\n    &amp;&amp; rm -rf /var/lib/apt/lists/*\n\n# \u8bbe\u7f6e Python 3.6 \u4e3a\u9ed8\u8ba4\u7248\u672c\nRUN update-alternatives --install /usr/bin/python3 python3 /usr/bin/python3.6 1\nRUN update-alternatives --set python3 /usr/bin/python3.6\n\n# \u5347\u7ea7 pip\nRUN python3 -m pip install --upgrade pip\n\n# \u914d\u7f6epip\u955c\u50cf\u6e90\nRUN pip3 config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n\n# \u5148\u5b89\u88c5 PyTorch (\u4f7f\u7528\u8f83\u65b0\u4f46\u517c\u5bb9\u7684\u7248\u672c)\nRUN pip3 install torch==1.10.2+cu113 torchvision==0.11.3+cu113 -f https://download.pytorch.org/whl/torch_stable.html\n\n# \u590d\u5236\u9884\u4e0b\u8f7d\u7684\u6587\u4ef6\nCOPY downloads/apex /workspace/apex\nCOPY downloads/normalspeed /workspace/normalspeed\nCOPY code /workspace/code\n\n# \u5b89\u88c5 apex\n#RUN cd /workspace/apex &amp;&amp; \\\n#    pip install -v --no-cache-dir --global-option=\"--cpp_ext\" --global-option=\"--cuda_ext\" ./ || \\\n#    (echo \"Apex installation failed. Check the error messages above.\" &amp;&amp; exit 1)\n\n# \u5b89\u88c5 normalspeed\n#RUN cd /workspace/normalspeed &amp;&amp; \\\n#    python3 setup.py build_ext --inplace &amp;&amp; \\\n#    python3 setup.py install\n\nWORKDIR /workspace/code\n</code></pre> <p>\u66f4\u6539 <code>requirement.txt</code> </p> Text Only<pre><code>h5py         \nnumpy              \npyyaml==5.4.1\nenum34        \nfuture           \nscipy==1.4.1          \nopencv_contrib_python==3.4.2.16               \ntransforms3d==0.3.1     \nscikit_image==0.13.1     \nlmdb==0.94              \nsetuptools==41.0.0    \ncffi==1.11.5         \neasydict==1.7      \nplyfile==0.6      \npillow==8.2.0 \ndataclasses\nglumpy                                                      \ntqdm\ntensorboardX \npandas\nscikit-learn         \nscipy \ntermcolor\npybind11\n</code></pre>"},{"location":"Technology/ffb6d-docker/#33-docker-composeyml","title":"3.3 \u521b\u5efadocker-compose.yml","text":"YAML<pre><code>version: '3'\nservices:\n  ffb6d:\n    build: .\n    image: ffb6d:latest\n    container_name: ffb6d_container\n    runtime: nvidia\n    environment:\n      - NVIDIA_VISIBLE_DEVICES=all\n    volumes:\n      - ./datasets:/workspace/code/datasets\n      - ./train_log:/workspace/code/train_log\n      - ./models:/workspace/code/models\n    shm_size: '8gb'\n    tty: true\n    stdin_open: true\n</code></pre>"},{"location":"Technology/ffb6d-docker/#34","title":"3.4 \u6784\u5efa\u548c\u8fd0\u884c\u811a\u672c","text":"<p>\u521b\u5efa<code>build_and_run.sh</code>\uff1a</p> Bash<pre><code>#!/bin/bash\n\n# \u521b\u5efa\u5fc5\u8981\u76ee\u5f55\nmkdir -p downloads datasets models train_log\n\n# \u4e0b\u8f7d\u4f9d\u8d56\ncd downloads\nif [ ! -d \"apex\" ]; then\n  git clone https://github.com/NVIDIA/apex.git\nfi\nif [ ! -d \"normalspeed\" ]; then\n  git clone https://github.com/hfutcgncas/normalspeed.git\nfi\ncd ..\n\n# \u514b\u9686FFB6D\u4ee3\u7801\nif [ ! -d \"code\" ]; then\n  git clone https://github.com/ethnhe/FFB6D.git code\nfi\n\n# \u6784\u5efa\u955c\u50cf\ndocker-compose build\n\n# \u8fd0\u884c\u5bb9\u5668\ndocker-compose up -d\ndocker exec -it ffb6d_container bash\n</code></pre>"},{"location":"Technology/ffb6d-docker/#35","title":"3.5 \u542f\u52a8\u548c\u9a8c\u8bc1","text":"Bash<pre><code># \u6dfb\u52a0\u6267\u884c\u6743\u9650\nchmod +x build_and_run.sh\n\n# \u8fd0\u884c\n./build_and_run.sh\n\n# \u5728\u5bb9\u5668\u5185\u9a8c\u8bc1\npython3 -c \"import torch; print('CUDA available:', torch.cuda.is_available())\"\npython3 -c \"from apex import amp; print('APEX installed')\"\npython3 -c \"import normalspeed; print('normalspeed installed')\"\n</code></pre>"},{"location":"Technology/ffb6d-docker/#36-apex","title":"3.6 \u7f16\u8bd1 apex","text":"Text Only<pre><code>git clone https://github.com/NVIDIA/apex\ncd apex\nexport TORCH_CUDA_ARCH_LIST=\"6.0;6.1;6.2;7.0;7.5\"\npython setup.py install -v\n</code></pre>"},{"location":"Technology/ffb6d-docker/#37-normalspeed","title":"3.7 \u7f16\u8bd1 normalspeed","text":"Text Only<pre><code># 1. \u5378\u8f7d\u5f53\u524dcv2\npip uninstall opencv-python opencv-python-headless -y\n\n# 2. \u5b89\u88c5\u7279\u5b9a\u7248\u672c\u7684OpenCV\uff0c\u9009\u62e9\u4e0ePython 3.6\u517c\u5bb9\u7684\u7248\u672c\npip install opencv-python==4.5.3.56\n\n# 3. \u9a8c\u8bc1\u5b89\u88c5\npython3 -c \"import cv2; print(cv2.__version__)\"\n</code></pre> Text Only<pre><code># \u8fdb\u5165normalSpeed\u76ee\u5f55\ncd /workspace/code/normalspeed/normalSpeed\n\n# \u5b89\u88c5\u4f9d\u8d56\napt-get update\napt-get install python3-pybind11\npip3 install Cython==0.29.15\n\n# \u6e05\u7406\u4e4b\u524d\u7684\u6784\u5efa\nrm -rf build/\nrm -rf dist/\nrm -rf *.egg-info/\n\n# \u91cd\u65b0\u5b89\u88c5\npython3 setup.py install\n\n# \u9a8c\u8bc1\u5b89\u88c5\npython3 -c \"import normalSpeed\"\n\n# \u8fd4\u56deffb6d\u76ee\u5f55\ncd /workspace/code/ffb6d/\n</code></pre> Text Only<pre><code>python3 setup.py install --user\n</code></pre>"},{"location":"Technology/ffb6d-docker/#38","title":"3.8 \u8bad\u7ec3","text":"<p>\u628a LineMOD \u590d\u5236\u5230\u5bf9\u5e94\u7684\u8def\u5f84\u4e0b\uff0c\u7136\u540e\u6309\u5b98\u7f51\u6765\u5c31\u597d\u4e86</p>"},{"location":"Technology/ffb6d-docker/#4","title":"4. \u5e38\u89c1\u95ee\u9898","text":""},{"location":"Technology/ffb6d-docker/#41","title":"4.1 \u7f51\u7edc\u95ee\u9898","text":"<p>\u5982\u679c\u9047\u5230\u4e0b\u8f7d\u6162\u6216\u5931\u8d25\uff1a</p> Bash<pre><code># \u4e34\u65f6\u4f7f\u7528\u4ee3\u7406\nexport http_proxy=\"http://proxy:port\"\nexport https_proxy=\"http://proxy:port\"\n\n# \u6216\u4fee\u6539pip\u6e90\npip config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n</code></pre> <p>\u6ce8\u610f\u7528\u4e86\u4ee3\u7406\u7684\u8bdd\uff0cdocker hub \u955c\u50cf\u5c31\u4f1a\u88ab\u8986\u76d6\u6389\uff0c\u5bfc\u81f4\u901f\u5ea6\u5f88\u6162\u3002\u6240\u4ee5\u5230\u65f6\u5019\u4e00\u5b9a\u8981\u53d6\u6d88\u4ee3\u7406 / \u5220\u9664\u4ee3\u7406\u6587\u4ef6</p> <p>docker hub \u955c\u50cf\u8bbe\u7f6e\u4e0a\u9762\u5199\u4e86\uff0c\u5b98\u7f51\u662f\u8fd9\u4e2a GitHub - dongyubin/DockerHub: 2024\u5e7411\u6708\u66f4\u65b0\uff0c\u76ee\u524d\u56fd\u5185\u53ef\u7528Docker\u955c\u50cf\u6e90\u6c47\u603b\uff0cDockerHub\u56fd\u5185\u955c\u50cf\u52a0\u901f\u5217\u8868\uff0c\ud83d\ude80DockerHub\u955c\u50cf\u52a0\u901f\u5668</p>"},{"location":"Technology/ffb6d-docker/#42-cuda","title":"4.2 CUDA\u517c\u5bb9\u6027","text":"<p>\u786e\u4fddNVIDIA\u9a71\u52a8\u7248\u672c\u652f\u6301\u6240\u9700\u7684CUDA\u7248\u672c\uff1a</p> Bash<pre><code># \u68c0\u67e5\u652f\u6301\u7684\u6700\u9ad8CUDA\u7248\u672c\nnvidia-smi\n</code></pre>"},{"location":"Technology/ffb6d-docker/#43","title":"4.3 \u5185\u5b58\u4e0d\u8db3","text":"<p>\u8c03\u6574Docker\u5185\u5b58\u9650\u5236\uff1a</p> YAML<pre><code># \u5728docker-compose.yml\u4e2d\u6dfb\u52a0\nservices:\n  ffb6d:\n    deploy:\n      resources:\n        limits:\n          memory: 16G\n</code></pre>"},{"location":"Technology/ffb6d-docker/#5","title":"5. \u603b\u7ed3","text":"<p>\u672c\u6587\u4ecb\u7ecd\u4e86\u4f7f\u7528Docker\u914d\u7f6e\u6df1\u5ea6\u5b66\u4e60\u73af\u5883\u7684\u5b8c\u6574\u6d41\u7a0b\uff0c\u4ee5FFB6D\u4e3a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5904\u7406\u590d\u6742\u4f9d\u8d56\u5173\u7cfb\u3002\u901a\u8fc7\u5bb9\u5668\u5316\u6280\u672f\uff0c\u6211\u4eec\u53ef\u4ee5\uff1a</p> <ol> <li>\u786e\u4fdd\u73af\u5883\u4e00\u81f4\u6027</li> <li>\u7b80\u5316\u90e8\u7f72\u6d41\u7a0b</li> <li>\u63d0\u9ad8\u5f00\u53d1\u6548\u7387</li> <li>\u65b9\u4fbf\u56e2\u961f\u534f\u4f5c</li> </ol> <p>\u5e0c\u671b\u672c\u6559\u7a0b\u80fd\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u7406\u89e3\u548c\u4f7f\u7528Docker\u3002</p>"},{"location":"Technology/ffb6d-docker/#_1","title":"\u53c2\u8003\u8d44\u6599","text":"<ol> <li>Docker\u5b98\u65b9\u6587\u6863</li> <li>NVIDIA Docker\u6587\u6863</li> <li>FFB6D\u9879\u76ee</li> <li>\u3010\u8bba\u6587\u7b14\u8bb0\u3011FFB6D | \u9a6c\u6d69\u98de\u4e28\u535a\u5ba2</li> </ol>"},{"location":"Technology/ffb6d/","title":"FFB6D\u73af\u5883\u914d\u7f6e\u6307\u5357\uff1a\u539f\u751f\u7cfb\u7edf\u5b89\u88c5","text":"<p> \u7ea6 293 \u4e2a\u5b57  96 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p>"},{"location":"Technology/ffb6d/#1","title":"1. \u7cfb\u7edf\u8981\u6c42","text":"<ul> <li>Ubuntu 20.04/22.04/24.04</li> <li>NVIDIA GPU\uff08\u652f\u6301CUDA\uff09</li> <li>\u81f3\u5c118GB\u5185\u5b58</li> <li>\u81f3\u5c1130GB\u78c1\u76d8\u7a7a\u95f4</li> </ul>"},{"location":"Technology/ffb6d/#2","title":"2. \u57fa\u7840\u73af\u5883\u914d\u7f6e","text":""},{"location":"Technology/ffb6d/#21-nvidia","title":"2.1 \u5b89\u88c5NVIDIA\u9a71\u52a8","text":"Bash<pre><code># \u6dfb\u52a0NVIDIA\u5305\u4ed3\u5e93\nsudo add-apt-repository ppa:graphics-drivers/ppa\nsudo apt-get update\n\n# \u5b89\u88c5NVIDIA\u9a71\u52a8\nsudo apt-get install -y nvidia-driver-535  # \u6839\u636e\u9700\u8981\u9009\u62e9\u7248\u672c\n\n# \u91cd\u542f\u7cfb\u7edf\nsudo reboot\n\n# \u9a8c\u8bc1\u5b89\u88c5\nnvidia-smi\n</code></pre>"},{"location":"Technology/ffb6d/#22-cudacudnn","title":"2.2 \u5b89\u88c5CUDA\u548ccuDNN","text":"Bash<pre><code># \u4e0b\u8f7d\u5e76\u5b89\u88c5CUDA 11.0\nwget https://developer.download.nvidia.com/compute/cuda/11.0.3/local_installers/cuda_11.0.3_450.51.06_linux.run\nsudo sh cuda_11.0.3_450.51.06_linux.run\n\n# \u914d\u7f6e\u73af\u5883\u53d8\u91cf\necho 'export PATH=/usr/local/cuda-11.0/bin:$PATH' &gt;&gt; ~/.bashrc\necho 'export LD_LIBRARY_PATH=/usr/local/cuda-11.0/lib64:$LD_LIBRARY_PATH' &gt;&gt; ~/.bashrc\nsource ~/.bashrc\n\n# \u4e0b\u8f7d\u5e76\u5b89\u88c5cuDNN 8.0\n# \u6ce8\uff1a\u9700\u8981\u4eceNVIDIA\u5f00\u53d1\u8005\u7f51\u7ad9\u4e0b\u8f7dcuDNN v8.0\uff0c\u89e3\u538b\u540e\uff1a\nsudo cp cuda/include/cudnn*.h /usr/local/cuda/include\nsudo cp cuda/lib64/libcudnn* /usr/local/cuda/lib64\nsudo chmod a+r /usr/local/cuda/include/cudnn*.h /usr/local/cuda/lib64/libcudnn*\n</code></pre>"},{"location":"Technology/ffb6d/#23","title":"2.3 \u5b89\u88c5\u7cfb\u7edf\u4f9d\u8d56","text":"Bash<pre><code>sudo apt-get update\nsudo apt-get install -y \\\n    python3.6 \\\n    python3.6-dev \\\n    python3-pip \\\n    git \\\n    cmake \\\n    build-essential \\\n    libopencv-dev \\\n    libglib2.0-0 \\\n    libsm6 \\\n    libxext6 \\\n    libxrender-dev \\\n    libboost-all-dev \\\n    libeigen3-dev\n</code></pre>"},{"location":"Technology/ffb6d/#24-python","title":"2.4 \u914d\u7f6ePython\u73af\u5883","text":"Bash<pre><code># \u8bbe\u7f6ePython 3.6\u4e3a\u9ed8\u8ba4\u7248\u672c\nsudo update-alternatives --install /usr/bin/python3 python3 /usr/bin/python3.6 1\nsudo update-alternatives --set python3 /usr/bin/python3.6\n\n# \u914d\u7f6epip\u955c\u50cf\u6e90\npip3 config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n\n# \u5347\u7ea7pip\npython3 -m pip install --upgrade pip\n</code></pre>"},{"location":"Technology/ffb6d/#3-pytorch","title":"3. \u5b89\u88c5PyTorch\u548c\u4f9d\u8d56\u5305","text":""},{"location":"Technology/ffb6d/#31-pytorch","title":"3.1 \u5b89\u88c5PyTorch","text":"Bash<pre><code>pip3 install torch==1.10.2+cu113 torchvision==0.11.3+cu113 -f https://download.pytorch.org/whl/torch_stable.html\n</code></pre>"},{"location":"Technology/ffb6d/#32","title":"3.2 \u5b89\u88c5\u9879\u76ee\u4f9d\u8d56","text":"<p>\u521b\u5efarequirements.txt\u5e76\u5b89\u88c5\u4f9d\u8d56\uff1a</p> Bash<pre><code>pip3 install -r requirements.txt\n</code></pre> <p>requirements.txt\u5185\u5bb9\uff1a Text Only<pre><code>h5py         \nnumpy              \npyyaml==5.4.1\nenum34        \nfuture           \nscipy==1.4.1          \nopencv_contrib_python==3.4.2.16               \ntransforms3d==0.3.1     \nscikit_image==0.13.1     \nlmdb==0.94              \nsetuptools==41.0.0    \ncffi==1.11.5         \neasydict==1.7      \nplyfile==0.6      \npillow==8.2.0 \ndataclasses\nglumpy                                                      \ntqdm\ntensorboardX \npandas\nscikit-learn         \nscipy \ntermcolor\npybind11\n</code></pre></p>"},{"location":"Technology/ffb6d/#4","title":"4. \u7f16\u8bd1\u548c\u5b89\u88c5\u7279\u6b8a\u7ec4\u4ef6","text":""},{"location":"Technology/ffb6d/#41-apex","title":"4.1 \u7f16\u8bd1apex","text":"Bash<pre><code>git clone https://github.com/NVIDIA/apex\ncd apex\nexport TORCH_CUDA_ARCH_LIST=\"6.0;6.1;6.2;7.0;7.5\"\npython setup.py install -v\ncd ..\n</code></pre>"},{"location":"Technology/ffb6d/#42-normalspeed","title":"4.2 \u5b89\u88c5\u548c\u7f16\u8bd1normalspeed","text":"Bash<pre><code># 1. \u51c6\u5907OpenCV\u73af\u5883\npip uninstall opencv-python opencv-python-headless -y\npip install opencv-python==4.5.3.56\n\n# 2. \u514b\u9686\u5e76\u5b89\u88c5normalspeed\ngit clone https://github.com/hfutcgncas/normalspeed.git\ncd normalspeed/normalSpeed\n\n# \u5b89\u88c5\u7f16\u8bd1\u4f9d\u8d56\nsudo apt-get install python3-pybind11\npip3 install Cython==0.29.15\n\n# \u6e05\u7406\u5e76\u91cd\u65b0\u5b89\u88c5\nrm -rf build/ dist/ *.egg-info/\npython3 setup.py install --user\ncd ../..\n</code></pre>"},{"location":"Technology/ffb6d/#5-ffb6d","title":"5. \u514b\u9686\u548c\u914d\u7f6eFFB6D","text":"Bash<pre><code># \u514b\u9686\u4ee3\u7801\ngit clone https://github.com/ethnhe/FFB6D.git\ncd FFB6D\n\n# \u521b\u5efa\u5fc5\u8981\u7684\u76ee\u5f55\nmkdir -p datasets models train_log\n\n# \u914d\u7f6e\u73af\u5883\u53d8\u91cf\nexport PYTHONPATH=$PYTHONPATH:$(pwd)\n</code></pre>"},{"location":"Technology/ffb6d/#6","title":"6. \u9a8c\u8bc1\u5b89\u88c5","text":"Bash<pre><code># \u9a8c\u8bc1CUDA\u652f\u6301\npython3 -c \"import torch; print('CUDA available:', torch.cuda.is_available())\"\n\n# \u9a8c\u8bc1apex\u5b89\u88c5\npython3 -c \"from apex import amp; print('APEX installed')\"\n\n# \u9a8c\u8bc1normalspeed\u5b89\u88c5\npython3 -c \"import normalSpeed; print('normalspeed installed')\"\n</code></pre>"},{"location":"Technology/ffb6d/#7","title":"7. \u5e38\u89c1\u95ee\u9898","text":""},{"location":"Technology/ffb6d/#71","title":"7.1 \u7f51\u7edc\u95ee\u9898","text":"Bash<pre><code># \u4f7f\u7528\u4ee3\u7406\uff08\u5982\u9700\u8981\uff09\nexport http_proxy=\"http://proxy:port\"\nexport https_proxy=\"http://proxy:port\"\n\n# \u6216\u4f7f\u7528\u56fd\u5185\u955c\u50cf\u6e90\npip config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n</code></pre>"},{"location":"Technology/ffb6d/#72","title":"7.2 \u7248\u672c\u517c\u5bb9\u6027\u95ee\u9898","text":"<ul> <li>\u786e\u4fddNVIDIA\u9a71\u52a8\u7248\u672c\u652f\u6301CUDA 11.0</li> <li>\u786e\u4fddPython\u5305\u7248\u672c\u76f8\u4e92\u517c\u5bb9</li> <li>\u68c0\u67e5CUDA\u7248\u672c\u4e0ePyTorch\u7248\u672c\u7684\u5339\u914d</li> </ul>"},{"location":"Technology/ffb6d/#73","title":"7.3 \u7f16\u8bd1\u9519\u8bef","text":"<ul> <li>\u786e\u4fdd\u5df2\u5b89\u88c5\u6240\u6709\u5fc5\u8981\u7684\u7f16\u8bd1\u5de5\u5177</li> <li>\u68c0\u67e5CUDA\u8def\u5f84\u914d\u7f6e\u662f\u5426\u6b63\u786e</li> <li>\u786e\u8ba4\u7cfb\u7edf\u5e93\u7248\u672c\u662f\u5426\u6ee1\u8db3\u8981\u6c42</li> </ul>"},{"location":"Technology/ffb6d/#8","title":"8. \u8bad\u7ec3","text":"<p>\u6309\u7167\u5b98\u65b9\u6587\u6863\u914d\u7f6eLineMOD\u6570\u636e\u96c6\u5e76\u5f00\u59cb\u8bad\u7ec3\u3002</p>"},{"location":"Technology/ffb6d/#_1","title":"\u53c2\u8003\u8d44\u6599","text":"<ol> <li>FFB6D\u9879\u76ee</li> <li>CUDA\u5b89\u88c5\u6307\u5357</li> <li>PyTorch\u5b89\u88c5\u6307\u5357</li> <li>\u3010\u8bba\u6587\u7b14\u8bb0\u3011FFB6D | \u9a6c\u6d69\u98de\u4e28\u535a\u5ba2</li> </ol>"},{"location":"Technology/mkdocs%20material/","title":"mkdocs material \u8d85\u5168\u914d\u7f6e","text":"<p> \u7ea6 5956 \u4e2a\u5b57  9393 \u884c\u4ee3\u7801  7 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 137 \u5206\u949f</p> <p>\u4ecd\u7136\u5728\u4fee\u6539 \u5982\u679c\u9700\u8981\u4efb\u4f55\u7684\u6587\u4ef6\uff0c\u53ef\u4ee5\u76f4\u63a5\u8bbf\u95ee\u672c\u535a\u5ba2\u7684 GitHub \u9875\u9762</p>"},{"location":"Technology/mkdocs%20material/#1","title":"1 \u5165\u95e8\u57fa\u7840","text":""},{"location":"Technology/mkdocs%20material/#11-mkdocs","title":"1.1 \u4ec0\u4e48\u662f MkDocs\uff1f","text":"<p>MkDocs \u662f\u4e00\u4e2a\u5feb\u901f\u3001\u7b80\u5355\u3001\u534e\u4e3d\u7684\u9759\u6001\u7ad9\u70b9\u751f\u6210\u5668\uff0c\u4e13\u95e8\u7528\u4e8e\u6784\u5efa\u9879\u76ee\u6587\u6863\u3002\u6587\u6863\u6e90\u6587\u4ef6\u4f7f\u7528 Markdown \u7f16\u5199\uff0c\u914d\u7f6e\u6587\u4ef6\u4f7f\u7528 YAML \u683c\u5f0f\u3002</p>"},{"location":"Technology/mkdocs%20material/#111-mkdocs","title":"1.1.1 MkDocs \u7684\u4f18\u52bf","text":"<ol> <li> <p>\u7b80\u5355\u6613\u7528    - \u4f7f\u7528 Markdown \u7f16\u5199\u6587\u6863    - \u914d\u7f6e\u6587\u4ef6\u7b80\u5355\u76f4\u89c2    - \u4e00\u952e\u5f0f\u6784\u5efa\u548c\u90e8\u7f72</p> </li> <li> <p>\u529f\u80fd\u5f3a\u5927    - \u5185\u7f6e\u5f00\u53d1\u670d\u52a1\u5668\uff0c\u652f\u6301\u5b9e\u65f6\u9884\u89c8    - \u591a\u79cd\u4e3b\u9898\u53ef\u9009    - \u652f\u6301\u81ea\u5b9a\u4e49\u4e3b\u9898    - \u81ea\u52a8\u751f\u6210\u5bfc\u822a    - \u5168\u6587\u641c\u7d22\u529f\u80fd</p> </li> <li> <p>\u90e8\u7f72\u65b9\u4fbf    - \u751f\u6210\u7eaf\u9759\u6001\u9875\u9762    - \u4e00\u884c\u547d\u4ee4\u90e8\u7f72\u5230 GitHub Pages    - \u652f\u6301\u81ea\u5b9a\u4e49\u57df\u540d    - \u517c\u5bb9\u6240\u6709\u9759\u6001\u7f51\u7ad9\u6258\u7ba1\u5e73\u53f0</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#112-mkdocs-vs","title":"1.1.2 MkDocs vs \u5176\u4ed6\u6587\u6863\u5de5\u5177","text":"\u5de5\u5177 \u4f18\u52bf \u52a3\u52bf MkDocs - \u7b80\u5355\u6613\u7528- \u4e13\u6ce8\u6587\u6863- \u90e8\u7f72\u65b9\u4fbf- \u4e3b\u9898\u4e30\u5bcc - \u529f\u80fd\u76f8\u5bf9\u7b80\u5355- \u63d2\u4ef6\u751f\u6001\u8f83\u5c0f GitBook - \u754c\u9762\u4f18\u96c5- \u751f\u6001\u5b8c\u6574- \u591a\u4eba\u534f\u4f5c\u597d - \u6784\u5efa\u901f\u5ea6\u6162- \u5b9a\u5236\u6027\u5dee- \u514d\u8d39\u7248\u9650\u5236\u591a Docusaurus - React \u6280\u672f\u6808- \u529f\u80fd\u5f3a\u5927- \u6269\u5c55\u6027\u597d - \u5b66\u4e60\u66f2\u7ebf\u9661- \u914d\u7f6e\u590d\u6742- \u6784\u5efa\u8f83\u6162 VuePress - Vue \u6280\u672f\u6808- \u5b9a\u5236\u6027\u5f3a- \u63d2\u4ef6\u4e30\u5bcc - \u4e3b\u9898\u8f83\u5c11- \u914d\u7f6e\u7e41\u7410- \u5b66\u4e60\u6210\u672c\u9ad8"},{"location":"Technology/mkdocs%20material/#113-mkdocs","title":"1.1.3 MkDocs \u5de5\u4f5c\u539f\u7406","text":"<p>MkDocs \u7684\u5de5\u4f5c\u6d41\u7a0b\u5982\u4e0b\uff1a</p> <ol> <li> <p>\u6587\u6863\u7f16\u5199    - \u4f7f\u7528 Markdown \u683c\u5f0f\u7f16\u5199\u6587\u6863    - \u6587\u6863\u5b58\u653e\u5728 <code>docs</code> \u76ee\u5f55\u4e0b    - \u652f\u6301\u591a\u7ea7\u76ee\u5f55\u7ed3\u6784</p> </li> <li> <p>\u914d\u7f6e\u89e3\u6790    - \u8bfb\u53d6 <code>mkdocs.yml</code> \u914d\u7f6e\u6587\u4ef6    - \u89e3\u6790\u4e3b\u9898\u8bbe\u7f6e\u3001\u63d2\u4ef6\u914d\u7f6e\u7b49    - \u751f\u6210\u5bfc\u822a\u7ed3\u6784</p> </li> <li> <p>\u6784\u5efa\u8fc7\u7a0b</p> </li> </ol> Text Only<pre><code>Markdown \u6587\u4ef6 -&gt; \u89e3\u6790\u5668 -&gt; HTML \u6587\u4ef6\n              -&gt; \u4e3b\u9898\u6e32\u67d3\n              -&gt; \u63d2\u4ef6\u5904\u7406\n              -&gt; \u9759\u6001\u8d44\u6e90\u5904\u7406\n</code></pre> <ol> <li>\u8f93\u51fa\u90e8\u7f72    - \u751f\u6210\u7eaf\u9759\u6001 HTML \u6587\u4ef6    - \u4fdd\u7559\u539f\u59cb\u76ee\u5f55\u7ed3\u6784    - \u81ea\u52a8\u5904\u7406\u5185\u90e8\u94fe\u63a5    - \u590d\u5236\u9759\u6001\u8d44\u6e90</li> </ol>"},{"location":"Technology/mkdocs%20material/#12-material","title":"1.2 \u4e3a\u4ec0\u4e48\u9009\u62e9 Material \u4e3b\u9898","text":"<p>Material for MkDocs \u662f\u4e00\u4e2a\u57fa\u4e8e Google Material Design \u8bbe\u8ba1\u8bed\u8a00\u7684\u4e3b\u9898\uff0c\u5b83\u4e0d\u4ec5\u7f8e\u89c2\uff0c\u800c\u4e14\u529f\u80fd\u5f3a\u5927\u3002</p>"},{"location":"Technology/mkdocs%20material/#121-material","title":"1.2.1 Material \u4e3b\u9898\u7279\u6027","text":"<ol> <li> <p>\u73b0\u4ee3\u5316\u8bbe\u8ba1    - \u9075\u5faa Material Design \u89c4\u8303    - \u54cd\u5e94\u5f0f\u5e03\u5c40    - \u652f\u6301\u6df1\u8272\u6a21\u5f0f    - \u81ea\u52a8\u9002\u914d\u79fb\u52a8\u8bbe\u5907</p> </li> <li> <p>\u5f3a\u5927\u529f\u80fd    - \u667a\u80fd\u641c\u7d22    - \u4ee3\u7801\u9ad8\u4eae    - \u6807\u7b7e\u9875\u652f\u6301    - \u81ea\u52a8\u76ee\u5f55\u751f\u6210    - \u591a\u8bed\u8a00\u652f\u6301    - \u7248\u672c\u63a7\u5236\u96c6\u6210</p> </li> <li> <p>\u51fa\u8272\u7684\u7528\u6237\u4f53\u9a8c    - \u5feb\u901f\u52a0\u8f7d    - \u5e73\u6ed1\u52a8\u753b    - \u5b9e\u65f6\u641c\u7d22    - \u4ee3\u7801\u590d\u5236\u6309\u94ae    - \u8fd4\u56de\u9876\u90e8\u6309\u94ae</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#122","title":"1.2.2 \u4e0e\u5176\u4ed6\u4e3b\u9898\u5bf9\u6bd4","text":"\u7279\u6027 Material ReadTheDocs mkdocs \u5176\u4ed6\u4e3b\u9898 \u8bbe\u8ba1\u98ce\u683c \u73b0\u4ee3\u7b80\u7ea6 \u4f20\u7edf\u6587\u6863 \u7b80\u5355\u57fa\u7840 \u98ce\u683c\u591a\u6837 \u54cd\u5e94\u5f0f \u2705 \u2705 \u274c \u90e8\u5206\u652f\u6301 \u6df1\u8272\u6a21\u5f0f \u2705 \u274c \u274c \u90e8\u5206\u652f\u6301 \u641c\u7d22\u529f\u80fd \u2705 \u2705 \u274c \u90e8\u5206\u652f\u6301 \u5b9a\u5236\u6027 \u5f3a \u4e2d \u5f31 \u4e0d\u4e00\u81f4 \u63d2\u4ef6\u652f\u6301 \u4e30\u5bcc \u4e00\u822c \u57fa\u7840 \u4e0d\u4e00\u81f4"},{"location":"Technology/mkdocs%20material/#123-material","title":"1.2.3 Material \u4e3b\u9898\u7684\u6280\u672f\u67b6\u6784","text":"Text Only<pre><code>Material Theme\n\u251c\u2500\u2500 \u6838\u5fc3\u7ec4\u4ef6\n\u2502   \u251c\u2500\u2500 \u5bfc\u822a\u680f\n\u2502   \u251c\u2500\u2500 \u4fa7\u8fb9\u680f\n\u2502   \u251c\u2500\u2500 \u641c\u7d22\u7ec4\u4ef6\n\u2502   \u2514\u2500\u2500 \u5185\u5bb9\u6e32\u67d3\u5668\n\u251c\u2500\u2500 \u6269\u5c55\u529f\u80fd\n\u2502   \u251c\u2500\u2500 \u4ee3\u7801\u9ad8\u4eae\n\u2502   \u251c\u2500\u2500 \u6807\u7b7e\u7cfb\u7edf\n\u2502   \u251c\u2500\u2500 \u76ee\u5f55\u751f\u6210\n\u2502   \u2514\u2500\u2500 \u4e3b\u9898\u5207\u6362\n\u2514\u2500\u2500 \u63d2\u4ef6\u7cfb\u7edf\n    \u251c\u2500\u2500 \u5185\u7f6e\u63d2\u4ef6\n    \u2514\u2500\u2500 \u7b2c\u4e09\u65b9\u63d2\u4ef6\u96c6\u6210\n</code></pre>"},{"location":"Technology/mkdocs%20material/#13","title":"1.3 \u73af\u5883\u8981\u6c42","text":""},{"location":"Technology/mkdocs%20material/#131-python","title":"1.3.1 Python \u73af\u5883","text":""},{"location":"Technology/mkdocs%20material/#1311-python","title":"1.3.1.1 Python \u7248\u672c\u9009\u62e9","text":"<p>MkDocs \u9700\u8981 Python 3.6 \u6216\u66f4\u9ad8\u7248\u672c\uff0c\u63a8\u8350\u4f7f\u7528 Python 3.8+\uff1a</p> Bash<pre><code># \u68c0\u67e5 Python \u7248\u672c\npython --version\n\n# \u63a8\u8350\u7248\u672c\nPython 3.8.x\nPython 3.9.x\nPython 3.10.x\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1312-pip","title":"1.3.1.2 pip \u914d\u7f6e\u8bf4\u660e","text":"<p>pip \u662f Python \u7684\u5305\u7ba1\u7406\u5de5\u5177\uff0c\u9700\u8981\u786e\u4fdd\u5176\u6b63\u786e\u5b89\u88c5\uff1a</p> Bash<pre><code># \u68c0\u67e5 pip \u7248\u672c\npip --version\n\n# \u5347\u7ea7 pip\npython -m pip install --upgrade pip\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1313","title":"1.3.1.3 \u865a\u62df\u73af\u5883\u7ba1\u7406","text":"<p>\u63a8\u8350\u4f7f\u7528\u865a\u62df\u73af\u5883\u6765\u7ba1\u7406\u9879\u76ee\u4f9d\u8d56\uff1a</p> Bash<pre><code># \u521b\u5efa\u865a\u62df\u73af\u5883\npython -m venv venv\n\n# \u6fc0\u6d3b\u865a\u62df\u73af\u5883\n# Windows\nvenv\\Scripts\\activate\n# Linux/Mac\nsource venv/bin/activate\n\n# \u9000\u51fa\u865a\u62df\u73af\u5883\ndeactivate\n</code></pre>"},{"location":"Technology/mkdocs%20material/#132-pip","title":"1.3.2 pip \u5305\u7ba1\u7406","text":""},{"location":"Technology/mkdocs%20material/#1321-pip","title":"1.3.2.1 pip \u6e90\u914d\u7f6e","text":"<p>\u4e3a\u52a0\u5feb\u4e0b\u8f7d\u901f\u5ea6\uff0c\u5efa\u8bae\u4f7f\u7528\u56fd\u5185\u955c\u50cf\u6e90\uff1a</p> Bash<pre><code># \u4e34\u65f6\u4f7f\u7528\npip install -i https://pypi.tuna.tsinghua.edu.cn/simple mkdocs\n\n# \u6c38\u4e45\u914d\u7f6e\npip config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1322","title":"1.3.2.2 \u4f9d\u8d56\u7ba1\u7406","text":"<p>\u5b89\u88c5\u5fc5\u8981\u7684\u5305\uff1a</p> Bash<pre><code>pip install mkdocs-material\npip install mkdocs-glightbox\npip install mkdocs-git-revision-date-localized-plugin\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1323-requirements-txt","title":"1.3.2.3 requirements. txt \u4f7f\u7528","text":"<p>\u7ef4\u62a4\u9879\u76ee\u4f9d\u8d56\uff1a</p> Bash<pre><code># \u751f\u6210\u4f9d\u8d56\u6587\u4ef6\npip freeze &gt; requirements.txt\n\n# \u5b89\u88c5\u4f9d\u8d56\npip install -r requirements.txt\n</code></pre>"},{"location":"Technology/mkdocs%20material/#133-git","title":"1.3.3 Git \u73af\u5883","text":""},{"location":"Technology/mkdocs%20material/#1331-git","title":"1.3.3.1 Git \u57fa\u7840\u914d\u7f6e","text":"Bash<pre><code># \u914d\u7f6e\u7528\u6237\u4fe1\u606f\ngit config --global user.name \"Your Name\"\ngit config --global user.email \"your.email@example.com\"\n\n# \u914d\u7f6e\u9ed8\u8ba4\u5206\u652f\ngit config --global init.defaultBranch main\n</code></pre>"},{"location":"Technology/mkdocs%20material/#134-ssh","title":"1.3.4 SSH \u5bc6\u94a5\u914d\u7f6e","text":"Bash<pre><code># \u751f\u6210 SSH \u5bc6\u94a5\nssh-keygen -t rsa -b 4096 -C \"your.email@example.com\"\n\n# \u67e5\u770b\u516c\u94a5\ncat ~/.ssh/id_rsa.pub\n</code></pre> <p>\u5c06\u516c\u94a5\u6dfb\u52a0\u5230 GitHub \u8d26\u6237\u7684 SSH keys \u4e2d\u3002</p>"},{"location":"Technology/mkdocs%20material/#135-gitignore","title":"1.3.5 .gitignore \u914d\u7f6e","text":"<p>\u521b\u5efa <code>.gitignore</code> \u6587\u4ef6\uff0c\u6dfb\u52a0\u4ee5\u4e0b\u5185\u5bb9\uff1a</p> Text Only<pre><code># Python\n__pycache__/\n*.py[cod]\n*$py.class\nvenv/\n\n# MkDocs\nsite/\n\n# IDE\n.idea/\n.vscode/\n*.swp\n*.swo\n\n# OS\n.DS_Store\nThumbs.db\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2","title":"2 \u73af\u5883\u642d\u5efa","text":""},{"location":"Technology/mkdocs%20material/#21-windows","title":"2.1 Windows \u7cfb\u7edf\u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#211-python","title":"2.1.1 Python \u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#2111","title":"2.1.1.1 \u4e0b\u8f7d\u5b89\u88c5\u5305","text":"<ol> <li>\u8bbf\u95ee Python \u5b98\u7f51 \u4e0b\u8f7d\u6700\u65b0\u7248\u672c</li> <li>\u9009\u62e9\u9002\u5408\u4f60\u7684 Windows \u7248\u672c\uff0832 \u4f4d/64 \u4f4d\uff09\u7684\u5b89\u88c5\u5305</li> <li>\u4e0b\u8f7d\u5b8c\u6210\u540e\u53cc\u51fb\u5b89\u88c5\u5305\u5f00\u59cb\u5b89\u88c5</li> </ol>"},{"location":"Technology/mkdocs%20material/#2112","title":"2.1.1.2 \u73af\u5883\u53d8\u91cf\u914d\u7f6e","text":"<ol> <li>\u5b89\u88c5\u65f6\u52fe\u9009 \"Add Python to PATH\"</li> <li>\u5982\u679c\u5fd8\u8bb0\u52fe\u9009\uff0c\u53ef\u4ee5\u624b\u52a8\u6dfb\u52a0\uff1a</li> </ol> Text Only<pre><code># \u6dfb\u52a0\u5230\u7cfb\u7edf\u73af\u5883\u53d8\u91cf Path\nC:\\Users\\YourUser\\AppData\\Local\\Programs\\Python\\Python3x\\\nC:\\Users\\YourUser\\AppData\\Local\\Programs\\Python\\Python3x\\Scripts\\\n</code></pre> <ol> <li>\u68c0\u67e5\u73af\u5883\u53d8\u91cf\uff1a</li> </ol> Bash<pre><code>echo %PATH%\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2113","title":"2.1.1.3 \u9a8c\u8bc1\u5b89\u88c5","text":"<p>\u5728\u547d\u4ee4\u63d0\u793a\u7b26\u4e2d\u6267\u884c\uff1a</p> Bash<pre><code># \u68c0\u67e5 Python \u7248\u672c\npython --version\n\n# \u68c0\u67e5 pip \u7248\u672c\npip --version\n</code></pre>"},{"location":"Technology/mkdocs%20material/#212-mkdocs","title":"2.1.2 MkDocs \u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#2121-pip","title":"2.1.2.1 pip \u5b89\u88c5\u65b9\u6cd5","text":"<p>\u4f7f\u7528 pip \u5b89\u88c5 MkDocs\uff1a</p> Bash<pre><code># \u5b89\u88c5 MkDocs\npip install mkdocs\n\n# \u9a8c\u8bc1\u5b89\u88c5\nmkdocs --version\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2122","title":"2.1.2.2 \u5e38\u89c1\u95ee\u9898\u89e3\u51b3","text":"<ol> <li> <p>pip \u4e0d\u662f\u5185\u90e8\u547d\u4ee4    - \u89e3\u51b3\u65b9\u6cd5\uff1a\u91cd\u65b0\u6dfb\u52a0 Python Scripts \u76ee\u5f55\u5230 PATH</p> </li> <li> <p>\u6743\u9650\u95ee\u9898    - \u89e3\u51b3\u65b9\u6cd5\uff1a\u4f7f\u7528\u7ba1\u7406\u5458\u6743\u9650\u8fd0\u884c\u547d\u4ee4\u63d0\u793a\u7b26</p> </li> </ol> Bash<pre><code># \u7ba1\u7406\u5458\u6743\u9650\u5b89\u88c5\npip install --user mkdocs\n</code></pre> <ol> <li>SSL \u8bc1\u4e66\u9519\u8bef    - \u89e3\u51b3\u65b9\u6cd5\uff1a\u6dfb\u52a0\u4fe1\u4efb\u9009\u9879\u6216\u4f7f\u7528\u56fd\u5185\u955c\u50cf</li> </ol> Bash<pre><code>pip install --trusted-host pypi.org --trusted-host files.pythonhosted.org mkdocs\n</code></pre>"},{"location":"Technology/mkdocs%20material/#213","title":"2.1.3 \u7248\u672c\u9009\u62e9","text":"<p>MkDocs \u7248\u672c\u9009\u62e9\u5efa\u8bae\uff1a</p> Bash<pre><code># \u67e5\u770b\u53ef\u7528\u7248\u672c\npip install mkdocs==\n\n# \u5b89\u88c5\u7279\u5b9a\u7248\u672c\npip install mkdocs==1.5.3  # \u63a8\u8350\u7248\u672c\n</code></pre>"},{"location":"Technology/mkdocs%20material/#214-material","title":"2.1.4 Material \u4e3b\u9898\u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#2141","title":"2.1.4.1 \u5b89\u88c5\u547d\u4ee4","text":"Bash<pre><code># \u5b89\u88c5 Material \u4e3b\u9898\npip install mkdocs-material\n\n# \u9a8c\u8bc1\u5b89\u88c5\npython -c \"import mkdocs_material; print(mkdocs_material.__version__)\"\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2142","title":"2.1.4.2 \u4f9d\u8d56\u68c0\u67e5","text":"<p>\u5b89\u88c5\u5fc5\u8981\u7684\u4f9d\u8d56\uff1a</p> Bash<pre><code># \u5b89\u88c5\u6269\u5c55\u652f\u6301\npip install pymdown-extensions\npip install mkdocs-glightbox\npip install mkdocs-git-revision-date-localized-plugin\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2143","title":"2.1.4.3 \u7248\u672c\u517c\u5bb9\u6027","text":"MkDocs \u7248\u672c Material \u7248\u672c Python \u7248\u672c 1.5. x 9.4. x \u22653.8 1.4. x 9.3. x \u22653.7 1.3. x 9.2. x \u22653.7"},{"location":"Technology/mkdocs%20material/#22-linuxmac","title":"2.2 Linux/Mac \u7cfb\u7edf\u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#221-python","title":"2.2.1 \u5305\u7ba1\u7406\u5668\u5b89\u88c5 Python","text":""},{"location":"Technology/mkdocs%20material/#2211-aptyum","title":"2.2.1.1 apt/yum \u5b89\u88c5\u65b9\u6cd5","text":"<p>Ubuntu/Debian:</p> Bash<pre><code># \u66f4\u65b0\u5305\u7d22\u5f15\nsudo apt update\n\n# \u5b89\u88c5 Python\nsudo apt install python3 python3-pip\n\n# \u5b89\u88c5\u5f00\u53d1\u5de5\u5177\nsudo apt install python3-dev\n</code></pre> <p>CentOS/RHEL:</p> Bash<pre><code># \u5b89\u88c5 EPEL \u4ed3\u5e93\nsudo yum install epel-release\n\n# \u5b89\u88c5 Python\nsudo yum install python3 python3-pip\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2212-brew","title":"2.2.1.2 brew \u5b89\u88c5\u65b9\u6cd5","text":"<p>macOS:</p> Bash<pre><code># \u5b89\u88c5 Homebrew\uff08\u5982\u679c\u672a\u5b89\u88c5\uff09\n/bin/bash -c \"$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)\"\n\n# \u5b89\u88c5 Python\nbrew install python\n\n# \u66f4\u65b0 pip\npip3 install --upgrade pip\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2213","title":"2.2.1.3 \u73af\u5883\u53d8\u91cf\u914d\u7f6e","text":"<p>bash/zsh:</p> Bash<pre><code># \u6dfb\u52a0\u5230 ~/.bashrc \u6216 ~/.zshrc\nexport PATH=\"$HOME/.local/bin:$PATH\"\nexport PYTHONPATH=\"$HOME/.local/lib/python3.x/site-packages:$PYTHONPATH\"\n\n# \u66f4\u65b0\u73af\u5883\u53d8\u91cf\nsource ~/.bashrc  # \u6216 source ~/.zshrc\n</code></pre>"},{"location":"Technology/mkdocs%20material/#222-pip","title":"2.2.2 pip \u5b89\u88c5\u4f9d\u8d56","text":""},{"location":"Technology/mkdocs%20material/#2221","title":"2.2.2.1 \u7cfb\u7edf\u7ea7\u5b89\u88c5","text":"Bash<pre><code># \u5168\u5c40\u5b89\u88c5\uff08\u9700\u8981 root \u6743\u9650\uff09\nsudo pip3 install mkdocs mkdocs-material\n\n# \u9a8c\u8bc1\u5b89\u88c5\nmkdocs --version\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2222","title":"2.2.2.2 \u7528\u6237\u7ea7\u5b89\u88c5","text":"Bash<pre><code># \u7528\u6237\u76ee\u5f55\u5b89\u88c5\npip3 install --user mkdocs mkdocs-material\n\n# \u68c0\u67e5\u5b89\u88c5\u8def\u5f84\npython3 -m site --user-site\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2223","title":"2.2.2.3 \u865a\u62df\u73af\u5883\u5b89\u88c5","text":"Bash<pre><code># \u521b\u5efa\u865a\u62df\u73af\u5883\npython3 -m venv mkdocs-env\n\n# \u6fc0\u6d3b\u865a\u62df\u73af\u5883\nsource mkdocs-env/bin/activate\n\n# \u5b89\u88c5\u4f9d\u8d56\npip install mkdocs mkdocs-material\n\n# \u9000\u51fa\u865a\u62df\u73af\u5883\ndeactivate\n</code></pre>"},{"location":"Technology/mkdocs%20material/#23","title":"2.3 \u9879\u76ee\u521d\u59cb\u5316","text":""},{"location":"Technology/mkdocs%20material/#231","title":"2.3.1 \u521b\u5efa\u9879\u76ee","text":""},{"location":"Technology/mkdocs%20material/#2311-mkdocs-new","title":"2.3.1.1 mkdocs new \u547d\u4ee4\u8be6\u89e3","text":"Bash<pre><code># \u57fa\u672c\u8bed\u6cd5\nmkdocs new [\u9879\u76ee\u540d]\n\n# \u521b\u5efa\u65b0\u9879\u76ee\nmkdocs new my-docs\n\n# \u4f7f\u7528\u73b0\u6709\u76ee\u5f55\ncd existing-project\nmkdocs new .\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2312","title":"2.3.1.2 \u9879\u76ee\u547d\u540d\u89c4\u8303","text":"<ul> <li>\u4f7f\u7528\u5c0f\u5199\u5b57\u6bcd</li> <li>\u5355\u8bcd\u95f4\u7528\u8fde\u5b57\u7b26 (-) \u5206\u9694</li> <li>\u907f\u514d\u4f7f\u7528\u7279\u6b8a\u5b57\u7b26</li> <li>\u540d\u79f0\u5177\u6709\u63cf\u8ff0\u6027</li> </ul> <p>\u793a\u4f8b\uff1a</p> Bash<pre><code>mkdocs new technical-docs    # \u597d\u7684\u547d\u540d\nmkdocs new tech_docs        # \u907f\u514d\u4f7f\u7528\u4e0b\u5212\u7ebf\nmkdocs new TechDocs         # \u907f\u514d\u4f7f\u7528\u5927\u5199\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2313","title":"2.3.1.3 \u521d\u59cb\u5316\u914d\u7f6e","text":"<p>\u521b\u5efa\u9879\u76ee\u540e\u7684\u57fa\u672c\u8bbe\u7f6e\uff1a</p> Bash<pre><code>cd my-docs\n# \u542f\u52a8\u5f00\u53d1\u670d\u52a1\u5668\nmkdocs serve\n# \u5728\u6d4f\u89c8\u5668\u4e2d\u8bbf\u95ee http://127.0.0.1:8000\n</code></pre>"},{"location":"Technology/mkdocs%20material/#232","title":"2.3.2 \u76ee\u5f55\u7ed3\u6784\u8bf4\u660e","text":""},{"location":"Technology/mkdocs%20material/#2321","title":"2.3.2.1 \u57fa\u7840\u76ee\u5f55\u7ed3\u6784","text":"Text Only<pre><code>my-docs/\n\u251c\u2500\u2500 docs/               # \u6587\u6863\u76ee\u5f55\n\u2502   \u251c\u2500\u2500 index.md       # \u9996\u9875\n\u2502   \u251c\u2500\u2500 about.md       # \u5176\u4ed6\u9875\u9762\n\u2502   \u2514\u2500\u2500 img/           # \u56fe\u7247\u76ee\u5f55\n\u251c\u2500\u2500 mkdocs.yml         # \u914d\u7f6e\u6587\u4ef6\n\u2514\u2500\u2500 venv/              # \u865a\u62df\u73af\u5883\uff08\u53ef\u9009\uff09\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2322-docs","title":"2.3.2.2 docs \u76ee\u5f55\u7ec4\u7ec7","text":"Text Only<pre><code>docs/\n\u251c\u2500\u2500 index.md           # \u9996\u9875\n\u251c\u2500\u2500 guide/             # \u6307\u5357\u76ee\u5f55\n\u2502   \u251c\u2500\u2500 index.md      # \u6307\u5357\u9996\u9875\n\u2502   \u251c\u2500\u2500 install.md    # \u5b89\u88c5\u8bf4\u660e\n\u2502   \u2514\u2500\u2500 usage.md      # \u4f7f\u7528\u8bf4\u660e\n\u251c\u2500\u2500 api/               # API\u6587\u6863\n\u2502   \u2514\u2500\u2500 index.md      # API\u9996\u9875\n\u2514\u2500\u2500 examples/          # \u793a\u4f8b\u76ee\u5f55\n    \u2514\u2500\u2500 basic.md      # \u57fa\u7840\u793a\u4f8b\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2323","title":"2.3.2.3 \u8d44\u6e90\u6587\u4ef6\u7ba1\u7406","text":"Text Only<pre><code>docs/\n\u251c\u2500\u2500 assets/           # \u8d44\u6e90\u76ee\u5f55\n\u2502   \u251c\u2500\u2500 images/      # \u56fe\u7247\u8d44\u6e90\n\u2502   \u251c\u2500\u2500 css/         # \u6837\u5f0f\u6587\u4ef6\n\u2502   \u251c\u2500\u2500 js/          # \u811a\u672c\u6587\u4ef6\n\u2502   \u2514\u2500\u2500 fonts/       # \u5b57\u4f53\u6587\u4ef6\n\u2514\u2500\u2500 files/           # \u4e0b\u8f7d\u6587\u4ef6\n    \u2514\u2500\u2500 sample.pdf   # \u793a\u4f8b\u6587\u4ef6\n</code></pre>"},{"location":"Technology/mkdocs%20material/#233","title":"2.3.3 \u57fa\u7840\u914d\u7f6e\u6587\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#2331-mkdocs-yml","title":"2.3.3.1 mkdocs. yml \u7ed3\u6784","text":"<p>\u57fa\u672c\u914d\u7f6e\u6587\u4ef6\u7ed3\u6784\uff1a</p> YAML<pre><code># \u7ad9\u70b9\u4fe1\u606f\nsite_name: \u6211\u7684\u6587\u6863\nsite_url: https://example.com/\nsite_author: \u4f5c\u8005\u540d\nsite_description: \u7ad9\u70b9\u63cf\u8ff0\n\n# \u4e3b\u9898\u8bbe\u7f6e\ntheme:\n  name: material\n  language: zh\n  features:\n    - navigation.tabs\n    - navigation.top\n\n# \u5bfc\u822a\u8bbe\u7f6e\nnav:\n  - \u9996\u9875: index.md\n  - \u6307\u5357: \n    - guide/index.md\n    - \u5b89\u88c5: guide/install.md\n    - \u4f7f\u7528: guide/usage.md\n\n# Markdown \u6269\u5c55\nmarkdown_extensions:\n  - attr_list\n  - md_in_html\n  - toc:\n      permalink: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2332","title":"2.3.3.2 \u6700\u5c0f\u914d\u7f6e\u793a\u4f8b","text":"<p>\u6700\u7b80\u5355\u7684\u914d\u7f6e\u6587\u4ef6\uff1a</p> YAML<pre><code>site_name: \u6211\u7684\u6587\u6863\ntheme:\n  name: material\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2333","title":"2.3.3.3 \u914d\u7f6e\u6587\u4ef6\u8bed\u6cd5","text":"<p>YAML \u8bed\u6cd5\u8981\u70b9\uff1a</p> YAML<pre><code># \u5b57\u7b26\u4e32\ntitle: \u6211\u7684\u6587\u6863\n\n# \u5217\u8868\nplugins:\n  - search\n  - tags\n\n# \u5bf9\u8c61\ntheme:\n  name: material\n  features:\n    - navigation.tabs\n\n# \u591a\u884c\u5b57\u7b26\u4e32\ndescription: &gt;\n  \u8fd9\u662f\u4e00\u4e2a\n  \u591a\u884c\u63cf\u8ff0\n  \u793a\u4f8b\n\n# \u951a\u70b9\u5f15\u7528\ncopyright: &amp;copyright 2024 My Docs\nfooter:\n  copyright: *copyright\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3-mkdocs","title":"3 MkDocs \u6838\u5fc3\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#31","title":"3.1 \u7ad9\u70b9\u4fe1\u606f\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#311-site_name","title":"3.1.1 site_name \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3111","title":"3.1.1.1 \u547d\u540d\u89c4\u8303","text":"<p>\u7f51\u7ad9\u540d\u79f0\u662f\u7ad9\u70b9\u7684\u7b2c\u4e00\u5370\u8c61\uff0c\u5e94\u9075\u5faa\u4ee5\u4e0b\u89c4\u8303\uff1a</p> YAML<pre><code># \u63a8\u8350\u7684\u547d\u540d\u65b9\u5f0f\nsite_name: \u6280\u672f\u6587\u6863\u4e2d\u5fc3\nsite_name: Developer Hub\nsite_name: API Documentation\n\n# \u907f\u514d\u7684\u547d\u540d\u65b9\u5f0f\nsite_name: docs            # \u592a\u8fc7\u7b80\u5355\nsite_name: My Doc Site     # \u4e0d\u591f\u4e13\u4e1a\nsite_name: TEST           # \u7f3a\u4e4f\u63cf\u8ff0\u6027\n</code></pre> <p>\u547d\u540d\u5efa\u8bae\uff1a</p> <ul> <li>\u4f7f\u7528\u7b80\u6d01\u660e\u4e86\u7684\u540d\u79f0</li> <li>\u53cd\u6620\u6587\u6863\u7684\u4e3b\u8981\u5185\u5bb9</li> <li>\u8003\u8651\u54c1\u724c\u8bc6\u522b\u5ea6</li> <li>\u907f\u514d\u4f7f\u7528\u7279\u6b8a\u5b57\u7b26</li> <li>\u9002\u5f53\u4f7f\u7528\u7a7a\u683c\u5206\u9694\u5355\u8bcd</li> </ul>"},{"location":"Technology/mkdocs%20material/#3112","title":"3.1.1.2 \u591a\u8bed\u8a00\u652f\u6301","text":"<p>\u53ef\u4ee5\u901a\u8fc7\u914d\u7f6e\u5b9e\u73b0\u591a\u8bed\u8a00\u7ad9\u70b9\uff1a</p> YAML<pre><code># \u57fa\u7840\u914d\u7f6e\nsite_name: My Documentation\ntheme:\n  language: zh\n\n# \u591a\u8bed\u8a00\u914d\u7f6e\u793a\u4f8b\nextra:\n  alternate:\n    - name: English\n      link: /en/ \n      lang: en\n    - name: \u4e2d\u6587\n      link: /zh/\n      lang: zh\n\n# \u8bed\u8a00\u7279\u5b9a\u7684\u7ad9\u70b9\u540d\u79f0\nsite_name:\n  en: My Documentation\n  zh: \u6211\u7684\u6587\u6863\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3113-seo","title":"3.1.1.3 SEO \u4f18\u5316","text":"<p>\u901a\u8fc7\u5408\u9002\u7684\u7ad9\u70b9\u540d\u79f0\u63d0\u5347 SEO\uff1a</p> YAML<pre><code># SEO \u4f18\u5316\u914d\u7f6e\nsite_name: ProductName Documentation | CompanyName\nextra:\n  meta:\n    - name: robots\n      content: 'index, follow'\n    - name: keywords\n      content: 'docs, documentation, technical, api'\n</code></pre>"},{"location":"Technology/mkdocs%20material/#312-site_url","title":"3.1.2 site_url \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3121-url","title":"3.1.2.1 URL \u683c\u5f0f\u8981\u6c42","text":"YAML<pre><code># \u6b63\u786e\u7684 URL \u683c\u5f0f\nsite_url: https://example.com/docs/\nsite_url: https://docs.example.com/\n\n# \u907f\u514d\u7684\u683c\u5f0f\nsite_url: http://example.com/docs    # \u7f3a\u5c11\u5c3e\u90e8\u659c\u6760\nsite_url: example.com/docs/          # \u7f3a\u5c11\u534f\u8bae\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3122","title":"3.1.2.2 \u57fa\u7840\u8def\u5f84\u914d\u7f6e","text":"YAML<pre><code># \u6839\u76ee\u5f55\u90e8\u7f72\nsite_url: https://example.com/\n\n# \u5b50\u76ee\u5f55\u90e8\u7f72\nsite_url: https://example.com/docs/\nuse_directory_urls: true  # \u63a8\u8350\u8bbe\u7f6e\n\n# \u672c\u5730\u5f00\u53d1\nsite_url: http://localhost:8000/\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3123","title":"3.1.2.3 \u5b50\u76ee\u5f55\u90e8\u7f72\u914d\u7f6e","text":"YAML<pre><code># GitHub Pages \u5b50\u76ee\u5f55\u90e8\u7f72\nsite_url: https://username.github.io/repository/\n\n# \u81ea\u5b9a\u4e49\u57df\u540d\u5b50\u76ee\u5f55\nsite_url: https://docs.example.com/project/\nextra:\n  base_path: /project/  # \u5982\u679c\u9700\u8981\n</code></pre>"},{"location":"Technology/mkdocs%20material/#313-site_author","title":"3.1.3 site_author \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3131","title":"3.1.3.1 \u4f5c\u8005\u4fe1\u606f\u8bbe\u7f6e","text":"YAML<pre><code># \u57fa\u7840\u4f5c\u8005\u4fe1\u606f\nsite_author: John Doe\n\n# \u6269\u5c55\u4f5c\u8005\u4fe1\u606f\nextra:\n  author:\n    name: John Doe\n    email: john@example.com\n    website: https://johndoe.com\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3132","title":"3.1.3.2 \u7248\u6743\u4fe1\u606f","text":"YAML<pre><code># \u7248\u6743\u58f0\u660e\ncopyright: \"&amp;copy; 2024 John Doe\"\n\n# \u9ad8\u7ea7\u7248\u6743\u914d\u7f6e\nextra:\n  copyright:\n    author: John Doe\n    year: 2024\n    license: CC BY-NC-SA 4.0\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3133-meta","title":"3.1.3.3 meta \u4fe1\u606f","text":"YAML<pre><code># meta \u4fe1\u606f\u914d\u7f6e\nextra:\n  meta:\n    - name: author\n      content: John Doe\n    - name: contact\n      content: contact@example.com\n    - property: article:author\n      content: https://example.com/author\n</code></pre>"},{"location":"Technology/mkdocs%20material/#314-site_description","title":"3.1.4 site_description \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3141-seo","title":"3.1.4.1 SEO \u63cf\u8ff0","text":"YAML<pre><code># \u57fa\u7840\u63cf\u8ff0\nsite_description: \u5168\u9762\u7684\u6280\u672f\u6587\u6863\u4e2d\u5fc3\uff0c\u63d0\u4f9b\u8be6\u7ec6\u7684API\u6587\u6863\u3001\u4f7f\u7528\u6307\u5357\u548c\u6700\u4f73\u5b9e\u8df5\u3002\n\n# \u591a\u8bed\u8a00\u63cf\u8ff0\nextra:\n  descriptions:\n    en: Comprehensive technical documentation center\n    zh: \u5168\u9762\u7684\u6280\u672f\u6587\u6863\u4e2d\u5fc3\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3142","title":"3.1.4.2 \u5173\u952e\u8bcd\u8bbe\u7f6e","text":"YAML<pre><code># \u901a\u8fc7 meta \u6807\u7b7e\u8bbe\u7f6e\u5173\u952e\u8bcd\nextra:\n  meta:\n    - name: keywords\n      content: MkDocs, documentation, technical docs, API, guides\n    - name: description\n      content: &gt;-\n        \u5168\u9762\u7684\u6280\u672f\u6587\u6863\u4e2d\u5fc3\uff0c\u5305\u542b\u8be6\u7ec6\u7684API\u6587\u6863\u3001\n        \u4f7f\u7528\u6307\u5357\u548c\u6700\u4f73\u5b9e\u8df5\u793a\u4f8b\u3002\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3143","title":"3.1.4.3 \u7ad9\u70b9\u6458\u8981","text":"YAML<pre><code># \u5b8c\u6574\u7684\u7ad9\u70b9\u4fe1\u606f\u914d\u7f6e\u793a\u4f8b\nsite_name: \u6280\u672f\u6587\u6863\u4e2d\u5fc3\nsite_description: &gt;-\n  \u63d0\u4f9b\u5168\u9762\u7684\u6280\u672f\u6587\u6863\u3001API\u53c2\u8003\u548c\u4f7f\u7528\u6307\u5357\uff0c\n  \u5e2e\u52a9\u5f00\u53d1\u8005\u5feb\u901f\u4e0a\u624b\u548c\u6df1\u5165\u4e86\u89e3\u4ea7\u54c1\u529f\u80fd\u3002\nsite_author: \u5f00\u53d1\u56e2\u961f\nsite_url: https://docs.example.com/\n\nextra:\n  meta:\n    - name: keywords\n      content: \u6280\u672f\u6587\u6863, API\u6587\u6863, \u5f00\u53d1\u6307\u5357, \u6700\u4f73\u5b9e\u8df5\n    - name: author\n      content: \u5f00\u53d1\u56e2\u961f\n    - name: robots\n      content: index, follow\n\n  analytics:\n    gtag: G-XXXXXXXXXX\n\ncopyright: \"&amp;copy; 2024 Example Company\"\n</code></pre>"},{"location":"Technology/mkdocs%20material/#315","title":"3.1.5 \u914d\u7f6e\u6700\u4f73\u5b9e\u8df5","text":"<ol> <li> <p>SEO \u4f18\u5316\u5efa\u8bae\uff1a    - \u4f7f\u7528\u6e05\u6670\u7684\u7ad9\u70b9\u540d\u79f0    - \u7f16\u5199\u6709\u5438\u5f15\u529b\u7684\u63cf\u8ff0    - \u5305\u542b\u76f8\u5173\u5173\u952e\u8bcd    - \u786e\u4fdd URL \u7ed3\u6784\u5408\u7406</p> </li> <li> <p>\u591a\u8bed\u8a00\u652f\u6301\uff1a    - \u4e3a\u6bcf\u79cd\u8bed\u8a00\u63d0\u4f9b\u72ec\u7acb\u63cf\u8ff0    - \u4f7f\u7528\u6b63\u786e\u7684\u8bed\u8a00\u4ee3\u7801    - \u8bbe\u7f6e\u5408\u9002\u7684\u5b57\u7b26\u7f16\u7801</p> </li> <li> <p>\u7248\u672c\u63a7\u5236\uff1a    - \u8bb0\u5f55\u914d\u7f6e\u66f4\u6539    - \u4f7f\u7528\u7248\u672c\u6ce8\u91ca    - \u5b9a\u671f\u66f4\u65b0\u7ad9\u70b9\u4fe1\u606f</p> </li> <li> <p>\u53ef\u7ef4\u62a4\u6027\uff1a    - \u4f7f\u7528\u6e05\u6670\u7684\u914d\u7f6e\u7ed3\u6784    - \u6dfb\u52a0\u5fc5\u8981\u7684\u6ce8\u91ca    - \u4fdd\u6301\u914d\u7f6e\u6587\u4ef6\u6574\u6d01</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#32","title":"3.2 \u5bfc\u822a\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#321-nav","title":"3.2.1 nav \u7ed3\u6784\u8bbe\u8ba1","text":""},{"location":"Technology/mkdocs%20material/#3211","title":"3.2.1.1 \u57fa\u7840\u5bfc\u822a\u7ed3\u6784","text":"<p>\u6700\u57fa\u672c\u7684\u5bfc\u822a\u914d\u7f6e\u793a\u4f8b\uff1a</p> YAML<pre><code>nav:\n  - Home: index.md\n  - About: about.md\n  - Contact: contact.md\n</code></pre> <p>\u66f4\u590d\u6742\u7684\u5206\u7ec4\u793a\u4f8b\uff1a</p> YAML<pre><code>nav:\n  - \u9996\u9875: index.md\n  - \u7528\u6237\u6307\u5357:\n    - \u4ecb\u7ecd: guide/introduction.md\n    - \u5feb\u901f\u5f00\u59cb: guide/getting-started.md\n    - \u57fa\u7840\u6559\u7a0b: guide/basics.md\n  - API \u6587\u6863:\n    - \u6982\u89c8: api/overview.md\n    - \u63a5\u53e3\u8bf4\u660e: api/reference.md\n  - \u5e38\u89c1\u95ee\u9898: faq.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3212","title":"3.2.1.2 \u5206\u7c7b\u7ec4\u7ec7","text":"<p>\u63a8\u8350\u7684\u5206\u7c7b\u65b9\u5f0f\uff1a</p> YAML<pre><code>nav:\n  - \u5f00\u59cb\u4f7f\u7528:\n    - \u7b80\u4ecb: getting-started/introduction.md\n    - \u5b89\u88c5: getting-started/installation.md\n    - \u914d\u7f6e: getting-started/configuration.md\n\n  - \u6838\u5fc3\u6982\u5ff5:\n    - \u6982\u8ff0: concepts/overview.md\n    - \u57fa\u7840\u67b6\u6784: concepts/architecture.md\n    - \u5de5\u4f5c\u539f\u7406: concepts/how-it-works.md\n\n  - \u9ad8\u7ea7\u6307\u5357:\n    - \u81ea\u5b9a\u4e49\u4e3b\u9898: advanced/custom-theme.md\n    - \u63d2\u4ef6\u5f00\u53d1: advanced/plugin-development.md\n    - \u6027\u80fd\u4f18\u5316: advanced/performance.md\n\n  - \u53c2\u8003\u6587\u6863:\n    - API: reference/api.md\n    - \u914d\u7f6e\u9879: reference/configuration.md\n    - \u547d\u4ee4\u884c: reference/cli.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3213","title":"3.2.1.3 \u6743\u91cd\u8bbe\u7f6e","text":"<p>\u4f7f\u7528\u6587\u4ef6\u540d\u524d\u7f00\u63a7\u5236\u987a\u5e8f\uff1a</p> YAML<pre><code>docs/\n\u251c\u2500\u2500 01_introduction.md\n\u251c\u2500\u2500 02_installation.md\n\u251c\u2500\u2500 03_configuration.md\n\u2514\u2500\u2500 04_usage.md\n\n# mkdocs.yml\nnav:\n  - \u4ecb\u7ecd: 01_introduction.md\n  - \u5b89\u88c5: 02_installation.md\n  - \u914d\u7f6e: 03_configuration.md\n  - \u4f7f\u7528: 04_usage.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#322","title":"3.2.2 \u6587\u4ef6\u7ec4\u7ec7","text":""},{"location":"Technology/mkdocs%20material/#3221","title":"3.2.2.1 \u6587\u4ef6\u547d\u540d\u89c4\u8303","text":"<p>\u63a8\u8350\u7684\u547d\u540d\u89c4\u8303\uff1a</p> Text Only<pre><code>docs/\n\u251c\u2500\u2500 index.md                    # \u9996\u9875\n\u251c\u2500\u2500 getting-started.md         # \u77ed\u6a2a\u7ebf\u5206\u9694\n\u251c\u2500\u2500 advanced_usage.md          # \u4e0b\u5212\u7ebf\u5206\u9694\uff08\u53ef\u9009\uff09\n\u2514\u2500\u2500 troubleshooting.md         # \u5168\u5c0f\u5199\n</code></pre> <p>\u6587\u4ef6\u547d\u540d\u5efa\u8bae\uff1a</p> <ul> <li>\u4f7f\u7528\u5c0f\u5199\u5b57\u6bcd</li> <li>\u5355\u8bcd\u95f4\u4f7f\u7528\u8fde\u5b57\u7b26\u6216\u4e0b\u5212\u7ebf</li> <li>\u6587\u4ef6\u540d\u5e94\u5177\u6709\u63cf\u8ff0\u6027</li> <li>\u4fdd\u6301\u547d\u540d\u4e00\u81f4\u6027</li> <li>\u907f\u514d\u4f7f\u7528\u7a7a\u683c\u548c\u7279\u6b8a\u5b57\u7b26</li> </ul>"},{"location":"Technology/mkdocs%20material/#3222","title":"3.2.2.2 \u76ee\u5f55\u7ec4\u7ec7\u539f\u5219","text":"<p>\u6807\u51c6\u76ee\u5f55\u7ed3\u6784\uff1a</p> Text Only<pre><code>docs/\n\u251c\u2500\u2500 index.md                # \u7f51\u7ad9\u9996\u9875\n\u251c\u2500\u2500 getting-started/        # \u5165\u95e8\u6307\u5357\n\u2502   \u251c\u2500\u2500 index.md           # \u5206\u7c7b\u9996\u9875\n\u2502   \u251c\u2500\u2500 installation.md    # \u5b89\u88c5\u8bf4\u660e\n\u2502   \u2514\u2500\u2500 configuration.md   # \u914d\u7f6e\u8bf4\u660e\n\u251c\u2500\u2500 user-guide/            # \u7528\u6237\u6307\u5357\n\u2502   \u251c\u2500\u2500 index.md          # \u6307\u5357\u9996\u9875\n\u2502   \u251c\u2500\u2500 basic-usage.md    # \u57fa\u7840\u7528\u6cd5\n\u2502   \u2514\u2500\u2500 advanced.md       # \u9ad8\u7ea7\u7279\u6027\n\u2514\u2500\u2500 api/                   # API\u6587\u6863\n    \u251c\u2500\u2500 index.md          # API\u6982\u89c8\n    \u251c\u2500\u2500 endpoints.md      # \u63a5\u53e3\u5217\u8868\n    \u2514\u2500\u2500 authentication.md # \u8ba4\u8bc1\u8bf4\u660e\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3223","title":"3.2.2.3 \u7d22\u5f15\u6587\u4ef6\u4f7f\u7528","text":"<p>\u6bcf\u4e2a\u76ee\u5f55\u7684 index. md \u793a\u4f8b\uff1a</p> Markdown<pre><code># \u7528\u6237\u6307\u5357\n\n\u8fd9\u662f\u7528\u6237\u6307\u5357\u7684\u4e3b\u9875\u9762\uff0c\u5305\u542b\u4ee5\u4e0b\u5185\u5bb9\uff1a\n\n## \u5feb\u901f\u5bfc\u822a\n\n-  [\u57fa\u7840\u7528\u6cd5] (basic-usage.md) - \u5165\u95e8\u5fc5\u8bfb\n-  [\u9ad8\u7ea7\u7279\u6027] (advanced.md) - \u6df1\u5165\u4e86\u89e3\n\n## \u672c\u8282\u5185\u5bb9\n\n\u6b64\u90e8\u5206\u5c06\u5e2e\u52a9\u60a8\u4e86\u89e3\u4ea7\u54c1\u7684\u6838\u5fc3\u529f\u80fd\u548c\u4f7f\u7528\u65b9\u6cd5...\n</code></pre> <p>\u5bf9\u5e94\u7684\u5bfc\u822a\u914d\u7f6e\uff1a</p> YAML<pre><code>nav:\n  - \u7528\u6237\u6307\u5357:\n    - \u6982\u8ff0: user-guide/index.md\n    - \u57fa\u7840\u7528\u6cd5: user-guide/basic-usage.md\n    - \u9ad8\u7ea7\u7279\u6027: user-guide/advanced.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#323","title":"3.2.3 \u591a\u7ea7\u76ee\u5f55","text":""},{"location":"Technology/mkdocs%20material/#3231","title":"3.2.3.1 \u5c42\u7ea7\u7ed3\u6784\u8bbe\u8ba1","text":"<p>\u590d\u6742\u7684\u591a\u7ea7\u76ee\u5f55\u793a\u4f8b\uff1a</p> YAML<pre><code>nav:\n  - \u9996\u9875: index.md\n  - \u5165\u95e8\u6307\u5357:\n    - \u6982\u8ff0: getting-started/index.md\n    - \u57fa\u7840:\n      - \u5b89\u88c5: getting-started/basics/installation.md\n      - \u914d\u7f6e: getting-started/basics/configuration.md\n    - \u8fdb\u9636:\n      - \u81ea\u5b9a\u4e49: getting-started/advanced/customization.md\n      - \u4f18\u5316: getting-started/advanced/optimization.md\n  - \u5f00\u53d1\u6587\u6863:\n    - \u6982\u8ff0: development/index.md\n    - API:\n      - \u8ba4\u8bc1: development/api/authentication.md\n      - \u63a5\u53e3: development/api/endpoints.md\n    - SDK:\n      - Python: development/sdk/python.md\n      - JavaScript: development/sdk/javascript.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3232","title":"3.2.3.2 \u5bfc\u822a\u6df1\u5ea6\u63a7\u5236","text":"YAML<pre><code>theme:\n  name: material\n  features:\n    - navigation.sections  # \u663e\u793a\u7ae0\u8282\n    - navigation.expand   # \u5c55\u5f00\u5bfc\u822a\n    - navigation.indexes  # \u4f7f\u7528\u76ee\u5f55\u7d22\u5f15\n    - toc.integrate      # \u96c6\u6210\u76ee\u5f55\n\nmarkdown_extensions:\n  - toc:\n      permalink: true\n      toc_depth: 3       # \u63a7\u5236\u76ee\u5f55\u6df1\u5ea6\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3233","title":"3.2.3.3 \u6298\u53e0\u914d\u7f6e","text":"<p>Material \u4e3b\u9898\u7684\u6298\u53e0\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  features:\n    - navigation.sections    # \u663e\u793a\u5206\u533a\n    - navigation.expand     # \u9ed8\u8ba4\u5c55\u5f00\n    - navigation.indexes    # \u4f7f\u7528\u7d22\u5f15\u9875\n    - navigation.top        # \u8fd4\u56de\u9876\u90e8\u6309\u94ae\n\n  # \u5bfc\u822a\u680f\u8bbe\u7f6e\n  nav_style: dark          # \u5bfc\u822a\u680f\u6837\u5f0f\n  collapse_navigation: true # \u6298\u53e0\u5bfc\u822a\n  sticky_navigation: true  # \u56fa\u5b9a\u5bfc\u822a\n</code></pre>"},{"location":"Technology/mkdocs%20material/#324","title":"3.2.4 \u5bfc\u822a\u914d\u7f6e\u6700\u4f73\u5b9e\u8df5","text":"<ol> <li> <p>\u7ed3\u6784\u8bbe\u8ba1\u539f\u5219\uff1a    - \u4fdd\u6301\u5c42\u7ea7\u6e05\u6670    - \u63a7\u5236\u5bfc\u822a\u6df1\u5ea6\uff08\u5efa\u8bae\u4e0d\u8d85\u8fc7 3 \u5c42\uff09    - \u76f8\u5173\u5185\u5bb9\u5206\u7ec4    - \u4f7f\u7528\u76f4\u89c2\u7684\u547d\u540d</p> </li> <li> <p>\u6587\u4ef6\u7ec4\u7ec7\uff1a    - \u4f7f\u7528\u6709\u610f\u4e49\u7684\u76ee\u5f55\u540d    - \u4fdd\u6301\u6587\u4ef6\u7ed3\u6784\u6574\u6d01    - \u5408\u7406\u4f7f\u7528\u7d22\u5f15\u6587\u4ef6    - \u9075\u5faa\u4e00\u81f4\u7684\u547d\u540d\u89c4\u8303</p> </li> <li> <p>\u7528\u6237\u4f53\u9a8c\uff1a    - \u63d0\u4f9b\u6e05\u6670\u7684\u5bfc\u822a\u8def\u5f84    - \u6dfb\u52a0\u5408\u9002\u7684\u63cf\u8ff0    - \u8003\u8651\u79fb\u52a8\u7aef\u663e\u793a    - \u4f18\u5316\u5bfc\u822a\u54cd\u5e94\u901f\u5ea6</p> </li> <li> <p>\u7ef4\u62a4\u5efa\u8bae\uff1a    - \u5b9a\u671f\u68c0\u67e5\u6b7b\u94fe\u63a5    - \u66f4\u65b0\u5bfc\u822a\u7ed3\u6784    - \u4fdd\u6301\u6587\u6863\u540c\u6b65    - \u6536\u96c6\u7528\u6237\u53cd\u9988</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#325","title":"3.2.5 \u7279\u6b8a\u5bfc\u822a\u529f\u80fd","text":"<ol> <li>\u9690\u85cf\u9875\u9762\uff1a</li> </ol> YAML<pre><code>nav:\n  - \u53ef\u89c1\u9875\u9762: visible.md\n  - !hidden \u9690\u85cf\u9875\u9762: hidden.md\n</code></pre> <ol> <li>\u5916\u90e8\u94fe\u63a5\uff1a</li> </ol> YAML<pre><code>nav:\n  - \u6587\u6863: index.md\n  - GitHub: https://github.com/your/repo\n  - \u793e\u533a: \n    - \u8bba\u575b: https://forum.example.com\n    - \u535a\u5ba2: https://blog.example.com\n</code></pre> <ol> <li>\u522b\u540d\u8bbe\u7f6e\uff1a</li> </ol> YAML<pre><code>nav:\n  - \u5f00\u59cb: \n    - \u6982\u8ff0: getting-started/index.md\n    - \u5feb\u901f\u5165\u95e8: getting-started/quickstart.md\n    - \u540c\u4e00\u6587\u4ef6\u4e0d\u540c\u5165\u53e3: !alias getting-started/quickstart.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#33-markdown","title":"3.3 Markdown \u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#331","title":"3.3.1 \u57fa\u7840\u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#3311-meta","title":"3.3.1.1 meta \u6269\u5c55","text":"<p>\u652f\u6301\u5728 Markdown \u6587\u4ef6\u5934\u90e8\u6dfb\u52a0\u5143\u6570\u636e\uff1a</p> YAML<pre><code># mkdocs.yml \u914d\u7f6e\nmarkdown_extensions:\n  - meta\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>---\ntitle: \u6211\u7684\u9875\u9762\u6807\u9898\ndescription: \u9875\u9762\u63cf\u8ff0\nauthor: \u4f5c\u8005\u540d\ndate: 2024-01-01\n---\n\n# \u6b63\u6587\u5185\u5bb9\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3312-toc","title":"3.3.1.2 toc \u6269\u5c55","text":"<p>\u81ea\u52a8\u751f\u6210\u76ee\u5f55\uff1a</p> YAML<pre><code>markdown_extensions:\n  - toc:\n      permalink: true        # \u6dfb\u52a0\u6bb5\u843d\u94fe\u63a5\n      toc_depth: 3          # \u76ee\u5f55\u6df1\u5ea6\n      separator: \"_\"        # \u6807\u9898\u951a\u70b9\u5206\u9694\u7b26\n      title: \"\u76ee\u5f55\"         # \u76ee\u5f55\u6807\u9898\n      slugify: !!python/object/apply:pymdownx.slugs.slugify\n        kwds: {case: lower} # URL \u8f6c\u6362\u89c4\u5219\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>[TOC]\n\n# \u4e00\u7ea7\u6807\u9898\n## \u4e8c\u7ea7\u6807\u9898\n### \u4e09\u7ea7\u6807\u9898\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3313-tables","title":"3.3.1.3 tables \u6269\u5c55","text":"<p>\u589e\u5f3a\u7684\u8868\u683c\u652f\u6301\uff1a</p> YAML<pre><code>markdown_extensions:\n  - tables\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>| \u529f\u80fd | \u57fa\u7840\u7248 | \u4e13\u4e1a\u7248 |\n|-----|:------:|-------:|\n| \u529f\u80fdA | \u2713 | \u2713 |\n| \u529f\u80fdB | \u2717 | \u2713 |\n| \u529f\u80fdC | \u2717 | \u2713 |\n\n: \u8868\u683c\u6807\u9898 {.class-name}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#332-pymdown-extensions","title":"3.3.2 PyMdown Extensions","text":""},{"location":"Technology/mkdocs%20material/#3321-superfences","title":"3.3.2.1 superfences \u914d\u7f6e","text":"<p>\u589e\u5f3a\u7684\u4ee3\u7801\u5757\u529f\u80fd\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_div_format\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>```python title=\"example.py\" linenums=\"1\" hl_lines=\"2 3\"\ndef hello_world():\n    message = \"Hello, World!\"\n    print(message)\n    return message\n```\n\n```mermaid\ngraph LR\n    A[\u5f00\u59cb] --&gt; B{\u5224\u65ad}\n    B --&gt; |Yes| C[\u6267\u884c]\n    B --&gt; |No| D[\u8df3\u8fc7]\n```\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3322-emoji","title":"3.3.2.2 emoji \u652f\u6301","text":"<p>\u6dfb\u52a0\u8868\u60c5\u7b26\u53f7\u652f\u6301\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.emoji:\n      emoji_index: !!python/name:material.extensions.emoji.twemoji\n      emoji_generator: !!python/name:material.extensions.emoji.to_svg\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>:smile: :heart: :thumbsup:\n\n:fontawesome-brands-github: GitHub\n:material-account: \u7528\u6237\n:octicons-repo-16: \u4ed3\u5e93\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3323-tasklist","title":"3.3.2.3 tasklist \u529f\u80fd","text":"<p>\u4efb\u52a1\u5217\u8868\u652f\u6301\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.tasklist:\n      custom_checkbox: true    # \u81ea\u5b9a\u4e49\u590d\u9009\u6846\u6837\u5f0f\n      clickable_checkbox: true # \u53ef\u70b9\u51fb\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>- [x] \u5df2\u5b8c\u6210\u4efb\u52a1\n- [ ] \u672a\u5b8c\u6210\u4efb\u52a1\n  - [x] \u5b50\u4efb\u52a1 1\n  - [ ] \u5b50\u4efb\u52a1 2\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3324-pymdown","title":"3.3.2.4 \u5176\u4ed6\u5e38\u7528 PyMdown \u6269\u5c55","text":"YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight     # \u4ee3\u7801\u9ad8\u4eae\n  - pymdownx.inlinehilite # \u884c\u5185\u4ee3\u7801\u9ad8\u4eae\n  - pymdownx.snippets     # \u4ee3\u7801\u7247\u6bb5\n  - pymdownx.magiclink    # \u81ea\u52a8\u94fe\u63a5\n  - pymdownx.mark        # ==\u6807\u8bb0==\n  - pymdownx.critic      # \u7f16\u8f91\u6807\u8bb0\n  - pymdownx.tilde      # \u5220\u9664\u7ebf\n  - pymdownx.caret      # \u4e0a\u6807\n  - pymdownx.keys       # \u952e\u76d8\u6309\u952e\n  - pymdownx.tabbed    # \u6807\u7b7e\u9875\n</code></pre>"},{"location":"Technology/mkdocs%20material/#333","title":"3.3.3 \u81ea\u5b9a\u4e49\u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#3331","title":"3.3.3.1 \u6269\u5c55\u5f00\u53d1\u57fa\u7840","text":"<p>\u521b\u5efa\u81ea\u5b9a\u4e49\u6269\u5c55\uff1a</p> Python<pre><code># custom_extension.py\nfrom markdown.extensions import Extension\nfrom markdown.preprocessors import Preprocessor\n\nclass CustomPreprocessor(Preprocessor):\n    def run(self, lines):\n        new_lines = []\n        for line in lines:\n            new_lines.append(line.replace('[[', '**').replace(']]', '**'))\n        return new_lines\n\nclass CustomExtension(Extension):\n    def extendMarkdown(self, md):\n        md.preprocessors.register(CustomPreprocessor(md), 'custom_preprocessor', 175)\n</code></pre>"},{"location":"Technology/mkdocs%20material/#34","title":"3.4 \u5e38\u7528\u6269\u5c55\u793a\u4f8b","text":"<ol> <li>\u6dfb\u52a0\u81ea\u5b9a\u4e49 HTML \u5c5e\u6027\uff1a</li> </ol> Python<pre><code>from markdown.extensions import Extension\nfrom markdown.treeprocessors import Treeprocessor\n\nclass CustomAttributesTreeprocessor(Treeprocessor):\n    def run(self, root):\n        for elem in root.iter():\n            if 'class' in elem.attrib:\n                elem.set('data-custom', 'value')\n\nclass CustomAttributesExtension(Extension):\n    def extendMarkdown(self, md):\n        md.treeprocessors.register(\n            CustomAttributesTreeprocessor(md), 'custom_attributes', 15\n        )\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u5bb9\u5668\uff1a</li> </ol> Python<pre><code>from markdown.extensions import Extension\nfrom markdown.blockprocessors import BlockProcessor\nimport re\n\nclass CustomContainerProcessor(BlockProcessor):\n    RE = re.compile(r':{3,}\\ *(warning|note|tip)\\ *')\n\n    def run(self, parent, blocks):\n        block = blocks.pop(0)\n        m = self.RE.match(block)\n\n        if m:\n            container_type = m.group(1)\n            div = etree.SubElement(parent, 'div')\n            div.set('class', f'custom-container {container_type}')\n\n            # \u5904\u7406\u5bb9\u5668\u5185\u5bb9\n            self.parser.parseChunk(div, block[m.end():])\n\nclass CustomContainerExtension(Extension):\n    def extendMarkdown(self, md):\n        md.parser.blockprocessors.register(\n            CustomContainerProcessor(md.parser), 'custom_container', 175\n        )\n</code></pre>"},{"location":"Technology/mkdocs%20material/#341","title":"3.4.1 \u6269\u5c55\u914d\u7f6e\u65b9\u6cd5","text":"<p>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\u81ea\u5b9a\u4e49\u6269\u5c55\uff1a</p> YAML<pre><code>markdown_extensions:\n  - custom_extension:\n      option1: value1\n      option2: value2\n\nextra_css:\n  - css/custom_extension.css\n\nextra_javascript:\n  - js/custom_extension.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#342","title":"3.4.2 \u6269\u5c55\u7ec4\u5408\u63a8\u8350","text":""},{"location":"Technology/mkdocs%20material/#3421","title":"3.4.2.1 \u57fa\u7840\u6587\u6863\u914d\u7f6e","text":"YAML<pre><code>markdown_extensions:\n  - meta\n  - toc:\n      permalink: true\n  - tables\n  - attr_list\n  - def_list\n  - footnotes\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3422","title":"3.4.2.2 \u589e\u5f3a\u529f\u80fd\u914d\u7f6e","text":"YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_div_format\n  - pymdownx.highlight:\n      anchor_linenums: true\n  - pymdownx.inlinehilite\n  - pymdownx.snippets\n  - pymdownx.tasklist:\n      custom_checkbox: true\n  - pymdownx.emoji:\n      emoji_index: !!python/name:material.extensions.emoji.twemoji\n      emoji_generator: !!python/name:material.extensions.emoji.to_svg\n</code></pre>"},{"location":"Technology/mkdocs%20material/#343","title":"3.4.3 \u5b8c\u6574\u63a8\u8350\u914d\u7f6e","text":"YAML<pre><code>markdown_extensions:\n  # Python Markdown\n  - meta\n  - toc:\n      permalink: true\n      toc_depth: 4\n  - tables\n  - attr_list\n  - def_list\n  - md_in_html\n  - footnotes\n\n  # Python Markdown Extensions\n  - pymdownx.superfences\n  - pymdownx.highlight\n  - pymdownx.inlinehilite\n  - pymdownx.snippets\n  - pymdownx.tasklist\n  - pymdownx.emoji\n  - pymdownx.mark\n  - pymdownx.critic\n  - pymdownx.keys\n  - pymdownx.tilde\n  - pymdownx.caret\n  - pymdownx.details\n  - pymdownx.magiclink\n  - pymdownx.tabbed:\n      alternate_style: true\n\n  # \u81ea\u5b9a\u4e49\u6269\u5c55\n  - custom_extension:\n      custom_option: value\n</code></pre>"},{"location":"Technology/mkdocs%20material/#344","title":"3.4.4 \u4f7f\u7528\u5efa\u8bae","text":"<ol> <li> <p>\u6027\u80fd\u8003\u8651\uff1a    - \u53ea\u542f\u7528\u9700\u8981\u7684\u6269\u5c55    - \u6ce8\u610f\u6269\u5c55\u4e4b\u95f4\u7684\u4f9d\u8d56\u5173\u7cfb    - \u63a7\u5236\u6269\u5c55\u6570\u91cf</p> </li> <li> <p>\u517c\u5bb9\u6027\uff1a    - \u6d4b\u8bd5\u6269\u5c55\u7ec4\u5408    - \u68c0\u67e5\u79fb\u52a8\u7aef\u663e\u793a    - \u9a8c\u8bc1\u4e0d\u540c\u6d4f\u89c8\u5668</p> </li> <li> <p>\u7ef4\u62a4\u5efa\u8bae\uff1a    - \u8bb0\u5f55\u6269\u5c55\u914d\u7f6e    - \u4fdd\u6301\u7248\u672c\u66f4\u65b0    - \u76d1\u63a7\u6027\u80fd\u5f71\u54cd</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#35","title":"3.5 \u63d2\u4ef6\u7cfb\u7edf","text":""},{"location":"Technology/mkdocs%20material/#351","title":"3.5.1 \u63d2\u4ef6\u914d\u7f6e\u65b9\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#3511","title":"3.5.1.1 \u63d2\u4ef6\u5b89\u88c5\u65b9\u6cd5","text":"<p>\u901a\u8fc7 pip \u5b89\u88c5\u63d2\u4ef6\uff1a</p> Bash<pre><code># \u5b89\u88c5\u5355\u4e2a\u63d2\u4ef6\npip install mkdocs-git-revision-date-localized-plugin\n\n# \u5b89\u88c5\u591a\u4e2a\u63d2\u4ef6\npip install mkdocs-minify-plugin mkdocs-git-authors-plugin\n</code></pre> <p>\u57fa\u7840\u63d2\u4ef6\u914d\u7f6e\uff1a</p> YAML<pre><code># mkdocs.yml\nplugins:\n  - search  # \u9ed8\u8ba4\u63d2\u4ef6\n  - git-revision-date-localized:\n      enable_creation_date: true\n  - minify:\n      minify_html: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3512","title":"3.5.1.2 \u914d\u7f6e\u8bed\u6cd5","text":"<p>\u63d2\u4ef6\u914d\u7f6e\u7684\u51e0\u79cd\u65b9\u5f0f\uff1a</p> YAML<pre><code># 1. \u7b80\u5355\u542f\u7528\u63d2\u4ef6\uff08\u4f7f\u7528\u9ed8\u8ba4\u914d\u7f6e\uff09\nplugins:\n  - search\n  - tags\n\n# 2. \u7981\u7528\u9ed8\u8ba4\u63d2\u4ef6\nplugins:\n  - search: false\n\n# 3. \u5e26\u914d\u7f6e\u7684\u63d2\u4ef6\nplugins:\n  - search:\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.]+'\n\n# 4. \u591a\u5b9e\u4f8b\u63d2\u4ef6\nplugins:\n  - search:\n      name: search_1\n      config: value\n  - search:\n      name: search_2\n      config: value\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3513","title":"3.5.1.3 \u4f18\u5148\u7ea7\u63a7\u5236","text":"<p>\u63d2\u4ef6\u6267\u884c\u987a\u5e8f\u63a7\u5236\uff1a</p> YAML<pre><code>plugins:\n  - search\n  - git-revision-date-localized:\n      priority: 80\n  - minify:\n      priority: 90\n  - tags:\n      priority: 70\n</code></pre>"},{"location":"Technology/mkdocs%20material/#352","title":"3.5.2 \u5e38\u7528\u63d2\u4ef6\u4ecb\u7ecd","text":""},{"location":"Technology/mkdocs%20material/#3521","title":"3.5.2.1 \u5b98\u65b9\u63d2\u4ef6","text":"<ol> <li>search - \u641c\u7d22\u63d2\u4ef6</li> </ol> YAML<pre><code>plugins:\n  - search:\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.]+'\n      min_search_length: 2\n      prebuild_index: true\n      indexing:\n        - full_sections: false\n        - headings: true\n        - content: true\n</code></pre> <ol> <li>tags - \u6807\u7b7e\u7cfb\u7edf</li> </ol> YAML<pre><code>plugins:\n  - tags:\n      tags_file: tags.md\n      tags_extra_files:\n        cloud: cloud_tags.md\n        list: tag_list.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3522","title":"3.5.2.2 \u793e\u533a\u63d2\u4ef6\u63a8\u8350","text":"<ol> <li>git-revision-date-localized - Git \u65e5\u671f\u4fe1\u606f</li> </ol> YAML<pre><code>plugins:\n  - git-revision-date-localized:\n      type: timeago\n      enable_creation_date: true\n      exclude:\n        - index.md\n      timezone: Asia/Shanghai\n      locale: zh\n</code></pre> <ol> <li>minify - \u6587\u4ef6\u538b\u7f29</li> </ol> YAML<pre><code>plugins:\n  - minify:\n      minify_html: true\n      minify_js: true\n      minify_css: true\n      htmlmin_opts:\n        remove_comments: true\n</code></pre> <ol> <li>social - \u793e\u4ea4\u5206\u4eab</li> </ol> YAML<pre><code>plugins:\n  - social:\n      cards: true\n      cards_color:\n        fill: \"#0FF1CE\"\n        text: \"#FFFFFF\"\n</code></pre> <ol> <li>macros - \u6a21\u677f\u5b8f</li> </ol> YAML<pre><code>plugins:\n  - macros:\n      module_name: macros\n      include_dir: include\n      include_yaml:\n        - variables.yml\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3523","title":"3.5.2.3 \u5b9e\u7528\u63d2\u4ef6\u96c6\u5408","text":"YAML<pre><code>plugins:\n  # \u6838\u5fc3\u529f\u80fd\n  - search\n  - tags\n\n  # \u7248\u672c\u63a7\u5236\n  - git-revision-date-localized\n  - git-authors\n\n  # \u6027\u80fd\u4f18\u5316\n  - minify\n  - optimize\n\n  # \u5185\u5bb9\u589e\u5f3a\n  - social\n  - macros\n  - blogging\n\n  # \u591a\u8bed\u8a00\u652f\u6301\n  - i18n\n  - translations\n\n  # \u56fe\u7247\u5904\u7406\n  - glightbox\n  - img2fig\n\n  # \u7edf\u8ba1\u5206\u6790\n  - statistics\n  - pdf-export\n</code></pre>"},{"location":"Technology/mkdocs%20material/#353","title":"3.5.3 \u63d2\u4ef6\u7ec4\u5408\u4f7f\u7528","text":""},{"location":"Technology/mkdocs%20material/#3531","title":"3.5.3.1 \u57fa\u7840\u7ec4\u5408\u65b9\u6848","text":"<p>\u9002\u5408\u4e00\u822c\u6587\u6863\u9879\u76ee\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      lang: zh\n      separator: '[\\s\\-\\.]+'\n\n  - git-revision-date-localized:\n      enable_creation_date: true\n      type: date\n\n  - minify:\n      minify_html: true\n\n  - glightbox:\n      touchNavigation: true\n      loop: false\n      effect: zoom\n      width: 100%\n      height: auto\n      zoomable: true\n      draggable: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3532","title":"3.5.3.2 \u535a\u5ba2\u7f51\u7ad9\u65b9\u6848","text":"<p>\u9002\u5408\u535a\u5ba2\u7c7b\u7f51\u7ad9\uff1a</p> YAML<pre><code>plugins:\n  - blog:\n      blog_dir: blog\n      post_url_format: \"{slug}\"\n      post_excerpt: optional\n\n  - social:\n      cards: true\n      cards_dir: assets/social\n\n  - tags:\n      tags_file: tags.md\n\n  - rss:\n      abstract_chars_count: 160\n      date_from_meta: true\n\n  - statistics:\n      page_check: true\n      page_count: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3533","title":"3.5.3.3 \u6280\u672f\u6587\u6863\u65b9\u6848","text":"<p>\u9002\u5408\u5927\u578b\u6280\u672f\u6587\u6863\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      separator: '[\\s\\-\\.]+'\n      min_search_length: 2\n      lang:\n        - en\n        - zh\n      prebuild_index: true\n\n  - git-revision-date-localized:\n      type: timeago\n      enable_creation_date: true\n\n  - minify:\n      minify_html: true\n      minify_js: true\n      minify_css: true\n\n  - macros:\n      module_name: includes.macros\n      include_yaml:\n        - includes/variables.yml\n\n  - pdf-export:\n      combined: true\n      combined_output_path: pdf/document.pdf\n</code></pre>"},{"location":"Technology/mkdocs%20material/#354","title":"3.5.4 \u6027\u80fd\u4f18\u5316\u5efa\u8bae","text":"<ol> <li> <p>\u63d2\u4ef6\u9009\u62e9\uff1a    - \u53ea\u542f\u7528\u5fc5\u8981\u7684\u63d2\u4ef6    - \u907f\u514d\u529f\u80fd\u91cd\u590d\u7684\u63d2\u4ef6    - \u6ce8\u610f\u63d2\u4ef6\u95f4\u7684\u4f9d\u8d56\u5173\u7cfb</p> </li> <li> <p>\u914d\u7f6e\u4f18\u5316\uff1a</p> </li> </ol> YAML<pre><code>plugins:\n  - search:\n      prebuild_index: true  # \u9884\u6784\u5efa\u7d22\u5f15\n  - minify:\n      cache: true          # \u542f\u7528\u7f13\u5b58\n      cache_dir: .cache    # \u7f13\u5b58\u76ee\u5f55\n  - optimize:              # \u8d44\u6e90\u4f18\u5316\n      cache: true\n</code></pre> <ol> <li>\u6784\u5efa\u4f18\u5316\uff1a</li> </ol> YAML<pre><code>plugins:\n  # \u5e76\u884c\u5904\u7406\u63d2\u4ef6\n  - parallel:\n      workers: 4\n  # \u7f13\u5b58\u63d2\u4ef6\n  - cache:\n      enabled: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4-material","title":"4 Material \u4e3b\u9898\u5b8c\u5168\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#41","title":"4.1 \u57fa\u7840\u5916\u89c2","text":""},{"location":"Technology/mkdocs%20material/#411","title":"4.1.1 \u914d\u8272\u65b9\u6848","text":""},{"location":"Technology/mkdocs%20material/#4111","title":"4.1.1.1 \u9884\u8bbe\u4e3b\u9898\u8272","text":"<p>Material \u4e3b\u9898\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u9884\u8bbe\u989c\u8272\uff1a</p> YAML<pre><code>theme:\n  name: material\n  palette:\n    primary: indigo    # \u4e3b\u8272\u8c03\n    accent: pink      # \u5f3a\u8c03\u8272\n\n# \u53ef\u7528\u7684\u4e3b\u9898\u8272\uff1a\n# red, pink, purple, deep purple, indigo, blue, light blue, \n# cyan, teal, green, light green, lime, yellow, amber, \n# orange, deep orange, brown, grey, blue grey\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4112","title":"4.1.1.2 \u81ea\u5b9a\u4e49\u914d\u8272","text":"<p>\u5b8c\u6574\u7684\u81ea\u5b9a\u4e49\u914d\u8272\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  palette:\n    # \u4eae\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n\n    # \u6697\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4113-css","title":"4.1.1.3 \u81ea\u5b9a\u4e49 CSS \u53d8\u91cf","text":"<p>\u521b\u5efa <code>docs/stylesheets/extra.css</code>\uff1a</p> CSS<pre><code>:root {\n  --md-primary-fg-color:        #2196f3;\n  --md-primary-fg-color--light: #64b5f6;\n  --md-primary-fg-color--dark:  #1976d2;\n  --md-accent-fg-color:         #2196f3;\n}\n\n[data-md-color-scheme=\"slate\"] {\n  --md-primary-fg-color:        #90caf9;\n  --md-primary-fg-color--light: #e3f2fd;\n  --md-primary-fg-color--dark:  #42a5f5;\n}\n</code></pre> <p>\u5728 <code>mkdocs.yml</code> \u4e2d\u5f15\u5165\uff1a</p> YAML<pre><code>extra_css:\n  - stylesheets/extra.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#412","title":"4.1.2 \u4e3b\u9898\u5207\u6362","text":""},{"location":"Technology/mkdocs%20material/#4121","title":"4.1.2.1 \u57fa\u7840\u5207\u6362\u914d\u7f6e","text":"YAML<pre><code>theme:\n  name: material\n  palette:\n    # \u914d\u7f6e\u5207\u6362\u6309\u94ae\n    - scheme: default\n      toggle:\n        icon: material/brightness-7 \n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n      primary: indigo\n      accent: indigo\n\n    - scheme: slate\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n      primary: indigo\n      accent: indigo\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4122","title":"4.1.2.2 \u9ad8\u7ea7\u5207\u6362\u529f\u80fd","text":"<p>\u6dfb\u52a0\u81ea\u5b9a\u4e49\u5207\u6362\u903b\u8f91\uff1a</p> YAML<pre><code>extra_javascript:\n  - javascripts/theme-switch.js\n</code></pre> <p><code>theme-switch.js</code> \u5185\u5bb9\uff1a</p> JavaScript<pre><code>document.addEventListener('DOMContentLoaded', function() {\n  // \u83b7\u53d6\u7cfb\u7edf\u4e3b\u9898\u504f\u597d\n  const prefersDark = window.matchMedia('(prefers-color-scheme: dark)');\n\n  // \u76d1\u542c\u7cfb\u7edf\u4e3b\u9898\u53d8\u5316\n  prefersDark.addListener((e) =&gt; {\n    const theme = e.matches ? 'slate' : 'default';\n    document.body.setAttribute('data-md-color-scheme', theme);\n  });\n\n  // \u521d\u59cb\u5316\u4e3b\u9898\n  const theme = prefersDark.matches ? 'slate' : 'default';\n  document.body.setAttribute('data-md-color-scheme', theme);\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#413","title":"4.1.3 \u56fe\u6807\u8bbe\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#4131","title":"4.1.3.1 \u7f51\u7ad9\u56fe\u6807","text":"<p>\u914d\u7f6e\u7f51\u7ad9\u56fe\u6807\u548c Logo\uff1a</p> YAML<pre><code>theme:\n  icon:\n    logo: material/book-open-page-variant  # \u7f51\u7ad9 Logo\n    repo: fontawesome/brands/github        # \u4ed3\u5e93\u56fe\u6807\n\n  favicon: assets/favicon.png              # \u7f51\u7ad9\u56fe\u6807\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4132","title":"4.1.3.2 \u529f\u80fd\u56fe\u6807","text":"<p>\u4e3a\u4e0d\u540c\u529f\u80fd\u914d\u7f6e\u56fe\u6807\uff1a</p> YAML<pre><code>theme:\n  icon:\n    repo: fontawesome/brands/github      # \u4ed3\u5e93\u56fe\u6807\n    edit: material/pencil                # \u7f16\u8f91\u56fe\u6807\n    view: material/eye                   # \u67e5\u770b\u56fe\u6807\n    admonition:\n      note: octicons/tag-16             # \u63d0\u793a\u6846\u56fe\u6807\n      abstract: octicons/checklist-16\n      info: octicons/info-16\n      tip: octicons/squirrel-16\n      success: octicons/check-16\n      question: octicons/question-16\n      warning: octicons/alert-16\n      failure: octicons/x-circle-16\n      danger: octicons/zap-16\n      bug: octicons/bug-16\n      example: octicons/beaker-16\n      quote: octicons/quote-16\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4133-svg","title":"4.1.3.3 \u81ea\u5b9a\u4e49 SVG \u56fe\u6807","text":"<p>\u6dfb\u52a0\u81ea\u5b9a\u4e49 SVG \u56fe\u6807\uff1a</p> <ol> <li>\u521b\u5efa <code>.icons</code> \u76ee\u5f55\uff1a</li> </ol> Text Only<pre><code>.\n\u251c\u2500 .icons/\n\u2502  \u2514\u2500 custom/\n\u2502     \u2514\u2500 logo.svg\n\u2514\u2500 mkdocs.yml\n</code></pre> <ol> <li>\u914d\u7f6e\u4f7f\u7528\uff1a</li> </ol> YAML<pre><code>theme:\n  icon:\n    logo: custom/logo\n</code></pre>"},{"location":"Technology/mkdocs%20material/#414-logo","title":"4.1.4 Logo \u8bbe\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#4141-logo","title":"4.1.4.1 \u57fa\u7840 Logo \u914d\u7f6e","text":"YAML<pre><code>theme:\n  logo: assets/logo.svg        # Logo \u56fe\u7247\n  icon:\n    logo: material/book        # \u6216\u4f7f\u7528\u56fe\u6807\u4f5c\u4e3a Logo\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4142-logo","title":"4.1.4.2 \u54cd\u5e94\u5f0f Logo","text":"<p>\u521b\u5efa\u54cd\u5e94\u5f0f Logo\uff1a</p> YAML<pre><code>theme:\n  logo: assets/logo.svg\nextra_css:\n  - stylesheets/logo.css\n</code></pre> <p><code>logo.css</code> \u5185\u5bb9\uff1a</p> CSS<pre><code>/* \u9ed8\u8ba4 Logo */\n.md-logo img {\n  width: 40px;\n  height: 40px;\n}\n\n/* \u79fb\u52a8\u7aef Logo */\n@media screen and (max-width: 76.1875em) {\n  .md-logo img {\n    width: 32px;\n    height: 32px;\n  }\n}\n\n/* \u6697\u8272\u4e3b\u9898 Logo */\n[data-md-color-scheme=\"slate\"] .md-logo img {\n  filter: invert(1);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4143-logo","title":"4.1.4.3 Logo \u52a8\u753b\u6548\u679c","text":"<p>\u6dfb\u52a0 Logo \u52a8\u753b\uff1a</p> CSS<pre><code>.md-logo img {\n  transition: transform 0.3s ease;\n}\n\n.md-logo img:hover {\n  transform: scale(1.1);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#415","title":"4.1.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  name: material\n\n  # \u8c03\u8272\u677f\u914d\u7f6e\n  palette:\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: blue\n      accent: blue\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n\n  # \u56fe\u6807\u914d\u7f6e\n  icon:\n    logo: material/book-open-page-variant\n    repo: fontawesome/brands/github\n    edit: material/pencil\n    view: material/eye\n\n  # Logo \u914d\u7f6e\n  logo: assets/logo.svg\n  favicon: assets/favicon.png\n\n# \u989d\u5916\u6837\u5f0f\nextra_css:\n  - stylesheets/extra.css\n  - stylesheets/logo.css\n\n# \u989d\u5916\u811a\u672c\nextra_javascript:\n  - javascripts/theme-switch.js\n\n# \u4e3b\u9898\u7279\u6027\nfeatures:\n  - navigation.instant\n  - navigation.tracking\n  - navigation.tabs\n  - navigation.sections\n  - navigation.expand\n  - navigation.top\n  - toc.integrate\n</code></pre>"},{"location":"Technology/mkdocs%20material/#42","title":"4.2 \u5bfc\u822a\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#421","title":"4.2.1 \u9876\u90e8\u5bfc\u822a","text":""},{"location":"Technology/mkdocs%20material/#4211","title":"4.2.1.1 \u5bfc\u822a\u680f\u6837\u5f0f","text":"<p>\u57fa\u7840\u5bfc\u822a\u680f\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  features:\n    - navigation.tabs        # \u542f\u7528\u6807\u7b7e\u5f0f\u5bfc\u822a\n    - navigation.sections    # \u663e\u793a\u7ae0\u8282\u5bfc\u822a\n    - navigation.expand     # \u5c55\u5f00\u5bfc\u822a\n    - navigation.indexes    # \u7ae0\u8282\u7d22\u5f15\u9875\n</code></pre> <p>\u81ea\u5b9a\u4e49\u5bfc\u822a\u680f\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/extra.css */\n\n/* \u5bfc\u822a\u680f\u80cc\u666f */\n.md-header {\n  background-color: #2196f3;\n  box-shadow: 0 2px 4px rgba(0,0,0,.14);\n}\n\n/* \u5bfc\u822a\u9879\u6837\u5f0f */\n.md-tabs__link {\n  font-size: .8rem;\n  margin-top: .4rem;\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.md-tabs__link--active {\n  font-weight: bold;\n  border-bottom: 2px solid currentColor;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4212","title":"4.2.1.2 \u56fa\u5b9a\u5bfc\u822a\u680f","text":"<p>\u542f\u7528\u56fa\u5b9a\u5bfc\u822a\uff1a</p> YAML<pre><code>theme:\n  features:\n    - header.autohide       # \u81ea\u52a8\u9690\u85cf\n    - navigation.sticky    # \u56fa\u5b9a\u5bfc\u822a\n</code></pre> <p>\u81ea\u5b9a\u4e49\u56fa\u5b9a\u5bfc\u822a\u884c\u4e3a\uff1a</p> CSS<pre><code>/* \u56fa\u5b9a\u5bfc\u822a\u680f\u6837\u5f0f */\n.md-header--sticky {\n  backdrop-filter: blur(8px);\n  background-color: rgba(255,255,255,.8);\n}\n\n/* \u6697\u8272\u4e3b\u9898 */\n[data-md-color-scheme=\"slate\"] .md-header--sticky {\n  background-color: rgba(0,0,0,.8);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4213","title":"4.2.1.3 \u54cd\u5e94\u5f0f\u5bfc\u822a","text":"<p>\u54cd\u5e94\u5f0f\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  features:\n    - navigation.instant    # \u5373\u65f6\u52a0\u8f7d\n    - navigation.tracking   # \u6eda\u52a8\u8ddf\u8e2a\n</code></pre> <p>\u54cd\u5e94\u5f0f\u6837\u5f0f\u8c03\u6574\uff1a</p> CSS<pre><code>/* \u79fb\u52a8\u7aef\u5bfc\u822a */\n@media screen and (max-width: 76.1875em) {\n  .md-nav__title {\n    font-size: .9rem;\n    padding: 0.5rem 0.8rem;\n  }\n\n  .md-nav__item {\n    padding: 0.2rem 0.8rem;\n  }\n}\n\n/* \u5e73\u677f\u5bfc\u822a */\n@media screen and (min-width: 76.25em) {\n  .md-nav__link {\n    padding: 0.2rem 0;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#422","title":"4.2.2 \u6807\u7b7e\u5bfc\u822a","text":""},{"location":"Technology/mkdocs%20material/#4221","title":"4.2.2.1 \u6807\u7b7e\u9875\u914d\u7f6e","text":"<p>\u542f\u7528\u6807\u7b7e\u5bfc\u822a\uff1a</p> YAML<pre><code>theme:\n  features:\n    - navigation.tabs\n    - navigation.tabs.sticky  # \u56fa\u5b9a\u6807\u7b7e\n</code></pre> <p>\u6807\u7b7e\u9875\u7ed3\u6784\uff1a</p> YAML<pre><code>nav:\n  - Home: index.md\n  - Guide:\n    - guide/index.md\n    - Installation: guide/installation.md\n    - Configuration: guide/configuration.md\n  - API:\n    - api/index.md\n    - Reference: api/reference.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4222","title":"4.2.2.2 \u6807\u7b7e\u6837\u5f0f","text":"<p>\u81ea\u5b9a\u4e49\u6807\u7b7e\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u6807\u7b7e\u5bb9\u5668 */\n.md-tabs {\n  background-color: var(--md-primary-fg-color--dark);\n}\n\n/* \u6807\u7b7e\u9879 */\n.md-tabs__item {\n  padding: 0 1rem;\n  transition: all 0.2s ease;\n}\n\n/* \u60ac\u505c\u6548\u679c */\n.md-tabs__item:hover {\n  background-color: rgba(255,255,255,.1);\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.md-tabs__item--active {\n  font-weight: bold;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4223","title":"4.2.2.3 \u6807\u7b7e\u4ea4\u4e92","text":"<p>\u6dfb\u52a0\u6807\u7b7e\u4ea4\u4e92\u6548\u679c\uff1a</p> JavaScript<pre><code>// docs/javascripts/tabs.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  // \u6807\u7b7e\u70b9\u51fb\u6548\u679c\n  const tabs = document.querySelectorAll('.md-tabs__item');\n  tabs.forEach(tab =&gt; {\n    tab.addEventListener('click', () =&gt; {\n      // \u6dfb\u52a0\u70b9\u51fb\u6ce2\u7eb9\u6548\u679c\n      const ripple = document.createElement('div');\n      ripple.classList.add('md-tabs__ripple');\n      tab.appendChild(ripple);\n\n      // \u79fb\u9664\u6ce2\u7eb9\u6548\u679c\n      setTimeout(() =&gt; ripple.remove(), 1000);\n    });\n  });\n});\n</code></pre> <p>\u5bf9\u5e94\u7684 CSS\uff1a</p> CSS<pre><code>/* \u6ce2\u7eb9\u6548\u679c */\n.md-tabs__ripple {\n  position: absolute;\n  background: rgba(255,255,255,.3);\n  border-radius: 50%;\n  transform: scale(0);\n  animation: ripple 0.6s linear;\n}\n\n@keyframes ripple {\n  to {\n    transform: scale(4);\n    opacity: 0;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#423","title":"4.2.3 \u76ee\u5f55\u5bfc\u822a","text":""},{"location":"Technology/mkdocs%20material/#4231","title":"4.2.3.1 \u76ee\u5f55\u5c42\u7ea7","text":"<p>\u914d\u7f6e\u76ee\u5f55\u5c42\u7ea7\uff1a</p> YAML<pre><code>theme:\n  features:\n    - toc.integrate    # \u96c6\u6210\u76ee\u5f55\n    - toc.follow      # \u76ee\u5f55\u8ddf\u968f\n\nmarkdown_extensions:\n  - toc:\n      permalink: true    # \u6c38\u4e45\u94fe\u63a5\n      toc_depth: 3      # \u76ee\u5f55\u6df1\u5ea6\n      title: \u76ee\u5f55       # \u76ee\u5f55\u6807\u9898\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4232","title":"4.2.3.2 \u76ee\u5f55\u6837\u5f0f","text":"<p>\u81ea\u5b9a\u4e49\u76ee\u5f55\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u76ee\u5f55\u5bb9\u5668 */\n.md-toc {\n  padding: 1rem;\n  background-color: var(--md-code-bg-color);\n  border-radius: 4px;\n}\n\n/* \u76ee\u5f55\u6807\u9898 */\n.md-toc__title {\n  font-weight: bold;\n  margin-bottom: 1rem;\n}\n\n/* \u76ee\u5f55\u94fe\u63a5 */\n.md-toc__link {\n  color: var(--md-typeset-color);\n  text-decoration: none;\n}\n\n/* \u76ee\u5f55\u5c42\u7ea7\u7f29\u8fdb */\n.md-toc__list {\n  margin-left: 1.5em;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4233","title":"4.2.3.3 \u951a\u70b9\u94fe\u63a5","text":"<p>\u914d\u7f6e\u951a\u70b9\u94fe\u63a5\uff1a</p> YAML<pre><code>markdown_extensions:\n  - toc:\n      permalink: \u2693\ufe0e    # \u951a\u70b9\u7b26\u53f7\n      slug: !!python/object/apply:pymdownx.slugs.slugify\n        kwds: {case: lower}  # URL \u8f6c\u6362\u89c4\u5219\n</code></pre> <p>\u81ea\u5b9a\u4e49\u951a\u70b9\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u951a\u70b9\u94fe\u63a5 */\n.headerlink {\n  opacity: 0;\n  margin-left: .5em;\n  transition: opacity 0.2s ease;\n}\n\n/* \u6807\u9898\u60ac\u505c\u65f6\u663e\u793a\u951a\u70b9 */\nh1:hover .headerlink,\nh2:hover .headerlink,\nh3:hover .headerlink {\n  opacity: 1;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#424","title":"4.2.4 \u8fd4\u56de\u9876\u90e8","text":""},{"location":"Technology/mkdocs%20material/#4241","title":"4.2.4.1 \u6309\u94ae\u6837\u5f0f","text":"<p>\u542f\u7528\u8fd4\u56de\u9876\u90e8\u6309\u94ae\uff1a</p> YAML<pre><code>theme:\n  features:\n    - navigation.top    # \u8fd4\u56de\u9876\u90e8\u6309\u94ae\n</code></pre> <p>\u81ea\u5b9a\u4e49\u6309\u94ae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u8fd4\u56de\u9876\u90e8\u6309\u94ae */\n.md-top {\n  background-color: var(--md-primary-fg-color);\n  border-radius: 50%;\n  box-shadow: 0 2px 4px rgba(0,0,0,.14);\n  transition: all 0.2s ease;\n}\n\n/* \u60ac\u505c\u6548\u679c */\n.md-top:hover {\n  background-color: var(--md-primary-fg-color--dark);\n  transform: translateY(-2px);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4242","title":"4.2.4.2 \u6eda\u52a8\u884c\u4e3a","text":"<p>\u81ea\u5b9a\u4e49\u6eda\u52a8\u884c\u4e3a\uff1a</p> JavaScript<pre><code>// docs/javascripts/scroll.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const topButton = document.querySelector('.md-top');\n\n  // \u5e73\u6ed1\u6eda\u52a8\n  if (topButton) {\n    topButton.addEventListener('click', (e) =&gt; {\n      e.preventDefault();\n      window.scrollTo({\n        top: 0,\n        behavior: 'smooth'\n      });\n    });\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4243","title":"4.2.4.3 \u663e\u793a\u63a7\u5236","text":"<p>\u914d\u7f6e\u663e\u793a\u903b\u8f91\uff1a</p> JavaScript<pre><code>// \u63a7\u5236\u6309\u94ae\u663e\u793a\nwindow.addEventListener('scroll', () =&gt; {\n  const topButton = document.querySelector('.md-top');\n  if (topButton) {\n    if (window.scrollY &gt; 100) {\n      topButton.classList.add('md-top--show');\n    } else {\n      topButton.classList.remove('md-top--show');\n    }\n  }\n});\n</code></pre> <p>\u6837\u5f0f\u63a7\u5236\uff1a</p> CSS<pre><code>/* \u6309\u94ae\u663e\u793a\u9690\u85cf */\n.md-top {\n  opacity: 0;\n  visibility: hidden;\n  transition: opacity 0.2s ease, visibility 0.2s ease;\n}\n\n.md-top--show {\n  opacity: 1;\n  visibility: visible;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#425","title":"4.2.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  name: material\n  features:\n    # \u5bfc\u822a\u529f\u80fd\n    - navigation.tabs\n    - navigation.tabs.sticky\n    - navigation.sections\n    - navigation.expand\n    - navigation.indexes\n    - navigation.instant\n    - navigation.tracking\n    - navigation.sticky\n    - header.autohide\n\n    # \u76ee\u5f55\u529f\u80fd\n    - toc.integrate\n    - toc.follow\n\n    # \u8fd4\u56de\u9876\u90e8\n    - navigation.top\n\n# Markdown \u6269\u5c55\nmarkdown_extensions:\n  - toc:\n      permalink: true\n      toc_depth: 3\n      title: \u76ee\u5f55\n      slugify: !!python/object/apply:pymdownx.slugs.slugify\n        kwds: {case: lower}\n\n# \u989d\u5916\u6837\u5f0f\u548c\u811a\u672c\nextra_css:\n  - stylesheets/extra.css\n\nextra_javascript:\n  - javascripts/tabs.js\n  - javascripts/scroll.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#43","title":"4.3 \u641c\u7d22\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#431","title":"4.3.1 \u641c\u7d22\u5f15\u64ce\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#4311","title":"4.3.1.1 \u641c\u7d22\u7b97\u6cd5","text":"<p>\u57fa\u7840\u641c\u7d22\u914d\u7f6e\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      separator: '[\\\\s\\\\-\\\\.]+'   # \u5206\u8bcd\u5206\u9694\u7b26\n      min_search_length: 2        # \u6700\u5c0f\u641c\u7d22\u957f\u5ea6\n      lang:\n        - en\n        - zh\n      prebuild_index: true        # \u9884\u6784\u5efa\u7d22\u5f15\n</code></pre> <p>\u9ad8\u7ea7\u641c\u7d22\u9009\u9879\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      separator: '[\\\\s\\\\-\\\\.]+\\\\s*'\n      min_search_length: 2\n      prebuild_index: python\n      indexing:\n        full_sections: true       # \u7d22\u5f15\u5b8c\u6574\u7ae0\u8282\n        headings: true           # \u7d22\u5f15\u6807\u9898\n        content: true           # \u7d22\u5f15\u5185\u5bb9\n        tags: true             # \u7d22\u5f15\u6807\u7b7e\n      scoring:\n        title_boost: 10        # \u6807\u9898\u6743\u91cd\n        heading_boost: 5       # \u6807\u9898\u6743\u91cd\n        content_boost: 1       # \u5185\u5bb9\u6743\u91cd\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4312","title":"4.3.1.2 \u7d22\u5f15\u914d\u7f6e","text":"<p>\u81ea\u5b9a\u4e49\u7d22\u5f15\u8bbe\u7f6e\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      indexing:\n        full_sections: true\n        headings: true\n        content: true\n        tags: true\n        attachments: true          # \u7d22\u5f15\u9644\u4ef6\n        attachments_types:         # \u9644\u4ef6\u7c7b\u578b\n          - .pdf\n          - .doc\n          - .docx\n        attachments_max_size: 2048 # \u6700\u5927\u5927\u5c0f(KB)\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4313","title":"4.3.1.3 \u641c\u7d22\u8303\u56f4","text":"<p>\u914d\u7f6e\u641c\u7d22\u8303\u56f4\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      # \u5305\u542b\u7684\u6587\u4ef6\n      include:\n        - \"*.md\"\n        - \"*.markdown\"\n\n      # \u6392\u9664\u7684\u6587\u4ef6\n      exclude:\n        - drafts/*\n        - private/*\n\n      # \u5904\u7406\u7279\u5b9a\u8def\u5f84\n      ignore:\n        - 404.md\n        - index.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#432","title":"4.3.2 \u641c\u7d22\u63d0\u793a","text":""},{"location":"Technology/mkdocs%20material/#4321","title":"4.3.2.1 \u5feb\u6377\u952e\u8bbe\u7f6e","text":"<p>\u914d\u7f6e\u641c\u7d22\u5feb\u6377\u952e\uff1a</p> YAML<pre><code>theme:\n  keyboard:\n    search: s, /        # \u4f7f\u7528 's' \u6216 '/' \u89e6\u53d1\u641c\u7d22\n</code></pre> <p>\u81ea\u5b9a\u4e49\u5feb\u6377\u952e\u5904\u7406\uff1a</p> JavaScript<pre><code>// docs/javascripts/search.js\n\ndocument.addEventListener('keydown', function(e) {\n  // \u81ea\u5b9a\u4e49\u5feb\u6377\u952e\u903b\u8f91\n  if ((e.key === 's' || e.key === '/') &amp;&amp; !e.ctrlKey &amp;&amp; !e.altKey &amp;&amp; !e.metaKey) {\n    e.preventDefault();\n    const search = document.querySelector('.md-search__input');\n    if (search) {\n      search.focus();\n    }\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4322","title":"4.3.2.2 \u63d0\u793a\u6587\u672c","text":"<p>\u81ea\u5b9a\u4e49\u641c\u7d22\u63d0\u793a\uff1a</p> YAML<pre><code>theme:\n  language: zh         # \u4f7f\u7528\u4e2d\u6587\u754c\u9762\n\nextra:\n  search:\n    language: zh\n    text:\n      placeholder: \u641c\u7d22\u6587\u6863...\n      no_results: \u6ca1\u6709\u627e\u5230\u76f8\u5173\u7ed3\u679c\n      searching: \u6b63\u5728\u641c\u7d22...\n</code></pre> <p>\u81ea\u5b9a\u4e49\u63d0\u793a\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/search.css */\n\n/* \u641c\u7d22\u6846\u63d0\u793a\u6587\u672c */\n.md-search__input::placeholder {\n  color: var(--md-default-fg-color--lighter);\n}\n\n/* \u65e0\u7ed3\u679c\u63d0\u793a */\n.md-search-result__meta {\n  color: var(--md-default-fg-color--light);\n  font-size: .8rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4323","title":"4.3.2.3 \u8f93\u5165\u5efa\u8bae","text":"<p>\u914d\u7f6e\u641c\u7d22\u5efa\u8bae\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      suggestions: true          # \u542f\u7528\u641c\u7d22\u5efa\u8bae\n      suggestions_min_length: 2  # \u6700\u5c0f\u5efa\u8bae\u957f\u5ea6\n</code></pre> <p>\u81ea\u5b9a\u4e49\u5efa\u8bae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u641c\u7d22\u5efa\u8bae\u6837\u5f0f */\n.md-search-result__item {\n  padding: .4rem .8rem;\n  transition: background .2s ease;\n}\n\n.md-search-result__item:hover {\n  background-color: var(--md-code-bg-color);\n}\n\n/* \u5efa\u8bae\u9879\u56fe\u6807 */\n.md-search-result__icon {\n  color: var(--md-default-fg-color--lighter);\n  margin-right: .4rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#433","title":"4.3.3 \u641c\u7d22\u9ad8\u4eae","text":""},{"location":"Technology/mkdocs%20material/#4331","title":"4.3.3.1 \u9ad8\u4eae\u6837\u5f0f","text":"<p>\u914d\u7f6e\u641c\u7d22\u9ad8\u4eae\uff1a</p> YAML<pre><code>theme:\n  features:\n    - search.highlight      # \u542f\u7528\u641c\u7d22\u9ad8\u4eae\n    - search.share         # \u542f\u7528\u641c\u7d22\u5206\u4eab\n    - search.suggest       # \u542f\u7528\u641c\u7d22\u5efa\u8bae\n</code></pre> <p>\u81ea\u5b9a\u4e49\u9ad8\u4eae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u641c\u7d22\u7ed3\u679c\u9ad8\u4eae */\n.md-search-result__item mark {\n  background-color: var(--md-accent-fg-color--transparent);\n  color: var(--md-accent-fg-color);\n  padding: 0 .2em;\n  border-radius: .1em;\n}\n\n/* \u6eda\u52a8\u6761\u6837\u5f0f */\n.md-search-result__scrollwrap::-webkit-scrollbar {\n  width: 4px;\n  height: 4px;\n}\n\n.md-search-result__scrollwrap::-webkit-scrollbar-thumb {\n  background-color: var(--md-default-fg-color--lighter);\n  border-radius: 2px;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4332","title":"4.3.3.2 \u5339\u914d\u89c4\u5219","text":"<p>\u914d\u7f6e\u641c\u7d22\u5339\u914d\u89c4\u5219\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      # \u6587\u672c\u5339\u914d\u914d\u7f6e\n      tokenizer: '[\\s\\-\\.]+'   # \u5206\u8bcd\u89c4\u5219\n      min_search_length: 2     # \u6700\u5c0f\u641c\u7d22\u957f\u5ea6\n\n      # \u6a21\u7cca\u5339\u914d\u8bbe\u7f6e\n      fuzzy: false            # \u7981\u7528\u6a21\u7cca\u5339\u914d\n\n      # \u5339\u914d\u6743\u91cd\n      boost: \n        title: 10            # \u6807\u9898\u6743\u91cd\n        text: 1              # \u6587\u672c\u6743\u91cd\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4333","title":"4.3.3.3 \u81ea\u5b9a\u4e49\u9ad8\u4eae","text":"<p>\u5b9e\u73b0\u81ea\u5b9a\u4e49\u9ad8\u4eae\u903b\u8f91\uff1a</p> JavaScript<pre><code>// docs/javascripts/search-highlight.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  // \u83b7\u53d6\u641c\u7d22\u7ed3\u679c\u5bb9\u5668\n  const searchResults = document.querySelector('.md-search-result');\n\n  if (searchResults) {\n    // \u76d1\u542c\u641c\u7d22\u7ed3\u679c\u53d8\u5316\n    const observer = new MutationObserver(mutations =&gt; {\n      mutations.forEach(mutation =&gt; {\n        if (mutation.type === 'childList') {\n          // \u5904\u7406\u65b0\u6dfb\u52a0\u7684\u641c\u7d22\u7ed3\u679c\n          const newResults = mutation.addedNodes;\n          newResults.forEach(node =&gt; {\n            if (node.nodeType === 1) {  // \u5143\u7d20\u8282\u70b9\n              customHighlight(node);\n            }\n          });\n        }\n      });\n    });\n\n    // \u542f\u52a8\u89c2\u5bdf\n    observer.observe(searchResults, {\n      childList: true,\n      subtree: true\n    });\n  }\n});\n\nfunction customHighlight(node) {\n  // \u81ea\u5b9a\u4e49\u9ad8\u4eae\u903b\u8f91\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#434","title":"4.3.4 \u641c\u7d22\u8bed\u8a00","text":""},{"location":"Technology/mkdocs%20material/#4341","title":"4.3.4.1 \u4e2d\u6587\u5206\u8bcd","text":"<p>\u914d\u7f6e\u4e2d\u6587\u5206\u8bcd\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      lang:\n        - en\n        - zh\n      separator: '[\\s\\-\\.,\\!\\/\\?\\u2000-\\u206F\\u3000-\\u303F\\u3040-\\u309F\\u30A0-\\u30FF\\u3100-\\u312F\\u3200-\\u32FF\\u3400-\\u4DBF\\u4E00-\\u9FFF]+'\n</code></pre> <p>\u4e2d\u6587\u641c\u7d22\u4f18\u5316\uff1a</p> JavaScript<pre><code>// docs/javascripts/chinese-search.js\n\nfunction chineseSegment(text) {\n  // \u7b80\u5355\u7684\u4e2d\u6587\u5206\u8bcd\u903b\u8f91\n  return text.replace(/[\\u4e00-\\u9fa5]/g, function(char) {\n    return char + ' ';\n  });\n}\n\n// \u6dfb\u52a0\u5230\u641c\u7d22\u5904\u7406\u6d41\u7a0b\ndocument.addEventListener('DOMContentLoaded', function() {\n  const searchInput = document.querySelector('.md-search__input');\n  if (searchInput) {\n    searchInput.addEventListener('input', function(e) {\n      const value = e.target.value;\n      if (/[\\u4e00-\\u9fa5]/.test(value)) {\n        // \u5904\u7406\u4e2d\u6587\u8f93\u5165\n        const segmented = chineseSegment(value);\n        // TODO: \u4f7f\u7528\u5206\u8bcd\u7ed3\u679c\u8fdb\u884c\u641c\u7d22\n      }\n    });\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4342","title":"4.3.4.2 \u591a\u8bed\u8a00\u652f\u6301","text":"<p>\u914d\u7f6e\u591a\u8bed\u8a00\u641c\u7d22\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      lang:\n        - en\n        - zh\n        - ja\n      # \u8bed\u8a00\u7279\u5b9a\u7684\u5206\u8bcd\u89c4\u5219\n      separator:\n        en: '[\\\\s\\\\-\\\\.]+'\n        zh: '[\\u4e00-\\u9fa5]'\n        ja: '[\\u3040-\\u309F\\u30A0-\\u30FF]+'\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4343","title":"4.3.4.3 \u505c\u7528\u8bcd\u914d\u7f6e","text":"<p>\u914d\u7f6e\u505c\u7528\u8bcd\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      stopwords: \n        en:\n          - a\n          - an\n          - the\n          - in\n          - on\n          - at\n        zh:\n          - \u7684\n          - \u4e86\n          - \u548c\n          - \u4e0e\n          - \u6216\n</code></pre> <p>\u81ea\u5b9a\u4e49\u505c\u7528\u8bcd\u5904\u7406\uff1a</p> JavaScript<pre><code>// docs/javascripts/stopwords.js\n\nconst stopwords = {\n  en: ['a', 'an', 'the', 'in', 'on', 'at'],\n  zh: ['\u7684', '\u4e86', '\u548c', '\u4e0e', '\u6216'],\n};\n\nfunction removeStopwords(text, lang) {\n  if (!stopwords[lang]) return text;\n\n  const words = text.split(/\\s+/);\n  return words\n    .filter(word =&gt; !stopwords[lang].includes(word))\n    .join(' ');\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#435","title":"4.3.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\n\nplugins:\n  - search:\n      lang:\n        - en\n        - zh\n      separator: '[\\s\\-\\.,\\!\\/\\?\\u2000-\\u206F\\u3000-\\u303F]+'\n      prebuild_index: python\n      indexing:\n        full_sections: true\n        headings: true\n        content: true\n        tags: true\n      scoring:\n        title_boost: 10\n        heading_boost: 5\n        content_boost: 1\n\ntheme:\n  features:\n    - search.highlight\n    - search.share\n    - search.suggest\n\nextra:\n  search:\n    language: zh\n    text:\n      placeholder: \u641c\u7d22\u6587\u6863...\n      no_results: \u6ca1\u6709\u627e\u5230\u76f8\u5173\u7ed3\u679c\n      searching: \u6b63\u5728\u641c\u7d22...\n\nextra_javascript:\n  - javascripts/search.js\n  - javascripts/search-highlight.js\n  - javascripts/chinese-search.js\n  - javascripts/stopwords.js\n\nextra_css:\n  - stylesheets/search.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#44","title":"4.4 \u4ee3\u7801\u5757\u8bbe\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#441","title":"4.4.1 \u8bed\u6cd5\u9ad8\u4eae","text":""},{"location":"Technology/mkdocs%20material/#4411","title":"4.4.1.1 \u9ad8\u4eae\u4e3b\u9898","text":"<p>\u57fa\u7840\u9ad8\u4eae\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  features:\n    - content.code.annotate # \u542f\u7528\u4ee3\u7801\u6ce8\u91ca\n    - content.code.copy    # \u542f\u7528\u4ee3\u7801\u590d\u5236\n\nmarkdown_extensions:\n  - pymdownx.highlight:\n      anchor_linenums: true\n      line_spans: __span\n      pygments_lang_class: true\n      use_pygments: true\n      auto_title: true # \u663e\u793a\u8bed\u8a00\u540d\u79f0\n      linenums: true  # \u663e\u793a\u884c\u53f7\n</code></pre> <p>\u81ea\u5b9a\u4e49\u9ad8\u4eae\u4e3b\u9898\uff1a</p> YAML<pre><code>theme:\n  palette:\n    # \u4eae\u8272\u4e3b\u9898\n    - scheme: default\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u4e3b\u9898\n      pygments_style: github-light\n\n    # \u6697\u8272\u4e3b\u9898\n    - scheme: slate\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u4e3b\u9898\n      pygments_style: monokai\n</code></pre> <p>\u81ea\u5b9a\u4e49\u4ee3\u7801\u5757\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/code.css */\n\n/* \u4ee3\u7801\u5757\u5bb9\u5668 */\n.highlight {\n  background-color: var(--md-code-bg-color);\n  border-radius: 4px;\n  padding: 0.5rem;\n  margin: 1rem 0;\n}\n\n/* \u4ee3\u7801\u884c */\n.highlight .code-line {\n  display: block;\n  padding: 0 1rem;\n  border-left: 2px solid transparent;\n}\n\n/* \u9ad8\u4eae\u884c */\n.highlight .code-line.focused {\n  background-color: var(--md-code-hl-color);\n  border-left: 2px solid var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4412","title":"4.4.1.2 \u8bed\u8a00\u652f\u6301","text":"<p>\u914d\u7f6e\u652f\u6301\u7684\u8bed\u8a00\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      extend_pygments_lang:\n        # \u81ea\u5b9a\u4e49\u8bed\u8a00\u914d\u7f6e\n        typescript:\n          name: TypeScript\n          aliases: [ts]\n        jsonc:\n          name: JSON with Comments\n          aliases: [json5]\n</code></pre> <p>\u8bed\u8a00\u7279\u5b9a\u914d\u7f6e\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      language_prefix: language-  # \u8bed\u8a00\u524d\u7f00\n      css_class: highlight       # CSS\u7c7b\u540d\n      code_attr_on_pre: false    # \u5c5e\u6027\u4f4d\u7f6e\n      extend_pygments_lang:      # \u8bed\u8a00\u6269\u5c55\n        flow:\n          name: Flow\n          aliases: [flowtype]\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4413","title":"4.4.1.3 \u81ea\u5b9a\u4e49\u9ad8\u4eae","text":"<p>\u81ea\u5b9a\u4e49\u8bed\u6cd5\u9ad8\u4eae\u89c4\u5219\uff1a</p> Python<pre><code># docs/custom_lexer.py\nfrom pygments.lexer import RegexLexer, words\nfrom pygments.token import *\n\nclass CustomLexer(RegexLexer):\n    name = 'CustomLanguage'\n    aliases = ['custom']\n    filenames = ['*.custom']\n\n    tokens = {\n        'root': [\n            (r'//.*$', Comment.Single),\n            (words(('if', 'else', 'while'), suffix=r'\\b'), Keyword),\n            (r'\"[^\"]*\"', String),\n            (r'\\d+', Number),\n            (r'[a-zA-Z_]\\w*', Name),\n            (r'[^\\w\\s]', Punctuation),\n        ]\n    }\n</code></pre> <p>\u5728 <code>mkdocs.yml</code> \u4e2d\u4f7f\u7528\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      use_pygments: true\n      extend_pygments_lang:\n        custom:\n          name: CustomLanguage\n          aliases: [custom]\n</code></pre>"},{"location":"Technology/mkdocs%20material/#442","title":"4.4.2 \u884c\u53f7\u663e\u793a","text":""},{"location":"Technology/mkdocs%20material/#4421","title":"4.4.2.1 \u884c\u53f7\u6837\u5f0f","text":"<p>\u914d\u7f6e\u884c\u53f7\u663e\u793a\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      linenums: true\n      linenums_style: table  # \u8868\u683c\u5f0f\u884c\u53f7\n      anchor_linenums: true  # \u884c\u53f7\u94fe\u63a5\n</code></pre> <p>\u81ea\u5b9a\u4e49\u884c\u53f7\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u884c\u53f7\u5bb9\u5668 */\n.highlighttable {\n  width: 100%;\n  display: table;\n}\n\n/* \u884c\u53f7\u5217 */\n.linenos {\n  color: var(--md-default-fg-color--lighter);\n  text-align: right;\n  padding-right: 1rem;\n  user-select: none;\n}\n\n/* \u4ee3\u7801\u5217 */\n.code {\n  padding-left: 1rem;\n  border-left: 1px solid var(--md-default-fg-color--lightest);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4422","title":"4.4.2.2 \u8d77\u59cb\u884c\u8bbe\u7f6e","text":"<p>\u8bbe\u7f6e\u4ee3\u7801\u5757\u8d77\u59cb\u884c\u53f7\uff1a</p> Markdown<pre><code>```python linenums=\"10\"\ndef hello_world():\n    print(\"Hello, World!\")\n```\n</code></pre> <p>\u914d\u7f6e\u9ed8\u8ba4\u8d77\u59cb\u884c\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      linenums: true\n      linenums_start: 1  # \u9ed8\u8ba4\u8d77\u59cb\u884c\u53f7\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4423","title":"4.4.2.3 \u884c\u53f7\u94fe\u63a5","text":"<p>\u542f\u7528\u884c\u53f7\u94fe\u63a5\u529f\u80fd\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      anchor_linenums: true     # \u542f\u7528\u884c\u53f7\u94fe\u63a5\n      line_anchors: L           # \u884c\u53f7\u94fe\u63a5\u524d\u7f00\n</code></pre> <p>\u81ea\u5b9a\u4e49\u94fe\u63a5\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u884c\u53f7\u94fe\u63a5 */\n.md-typeset .highlight [data-linenos]:before {\n  content: attr(data-linenos);\n  color: var(--md-default-fg-color--lighter);\n  padding-right: 1rem;\n}\n\n/* \u94fe\u63a5\u60ac\u505c\u6548\u679c */\n.md-typeset .highlight [data-linenos]:hover:before {\n  color: var(--md-accent-fg-color);\n  cursor: pointer;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#443","title":"4.4.3 \u590d\u5236\u6309\u94ae","text":""},{"location":"Technology/mkdocs%20material/#4431","title":"4.4.3.1 \u6309\u94ae\u6837\u5f0f","text":"<p>\u914d\u7f6e\u590d\u5236\u6309\u94ae\uff1a</p> YAML<pre><code>theme:\n  features:\n    - content.code.copy     # \u542f\u7528\u4ee3\u7801\u590d\u5236\n</code></pre> <p>\u81ea\u5b9a\u4e49\u590d\u5236\u6309\u94ae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u590d\u5236\u6309\u94ae\u5bb9\u5668 */\n.md-clipboard {\n  position: absolute;\n  top: 0.5rem;\n  right: 0.5rem;\n  padding: 0.4rem;\n  color: var(--md-default-fg-color--lighter);\n  background-color: transparent;\n  border: none;\n  border-radius: 4px;\n  cursor: pointer;\n  transition: all 0.2s ease;\n}\n\n/* \u60ac\u505c\u6548\u679c */\n.md-clipboard:hover {\n  color: var(--md-accent-fg-color);\n  background-color: var(--md-code-bg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4432","title":"4.4.3.2 \u590d\u5236\u884c\u4e3a","text":"<p>\u81ea\u5b9a\u4e49\u590d\u5236\u529f\u80fd\uff1a</p> JavaScript<pre><code>// docs/javascripts/clipboard.js\n\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  // \u83b7\u53d6\u6240\u6709\u4ee3\u7801\u5757\n  const codeBlocks = document.querySelectorAll('pre code');\n\n  codeBlocks.forEach(block =&gt; {\n    // \u521b\u5efa\u590d\u5236\u6309\u94ae\n    const button = document.createElement('button');\n    button.className = 'md-clipboard';\n    button.title = '\u590d\u5236\u5230\u526a\u8d34\u677f';\n\n    // \u6dfb\u52a0\u590d\u5236\u56fe\u6807\n    button.innerHTML = '&lt;span class=\"md-clipboard__icon\"&gt;&lt;/span&gt;';\n\n    // \u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\n    button.addEventListener('click', async () =&gt; {\n      try {\n        // \u590d\u5236\u4ee3\u7801\n        await navigator.clipboard.writeText(block.textContent);\n\n        // \u663e\u793a\u6210\u529f\u63d0\u793a\n        button.classList.add('md-clipboard--success');\n        setTimeout(() =&gt; {\n          button.classList.remove('md-clipboard--success');\n        }, 2000);\n      } catch (err) {\n        console.error('\u590d\u5236\u5931\u8d25:', err);\n      }\n    });\n\n    // \u5c06\u6309\u94ae\u6dfb\u52a0\u5230\u4ee3\u7801\u5757\n    block.parentNode.insertBefore(button, block);\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4433","title":"4.4.3.3 \u63d0\u793a\u914d\u7f6e","text":"<p>\u914d\u7f6e\u590d\u5236\u63d0\u793a\uff1a</p> YAML<pre><code>theme:\n  language: zh          # \u4f7f\u7528\u4e2d\u6587\u754c\u9762\n\nextra:\n  clipboard:\n    copy: \u590d\u5236\n    copied: \u5df2\u590d\u5236\uff01\n    error: \u590d\u5236\u5931\u8d25\n</code></pre> <p>\u81ea\u5b9a\u4e49\u63d0\u793a\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u590d\u5236\u63d0\u793a */\n.md-clipboard__tooltip {\n  position: absolute;\n  top: -2rem;\n  right: 0;\n  padding: 0.4rem 0.8rem;\n  color: var(--md-default-bg-color);\n  background-color: var(--md-default-fg-color);\n  border-radius: 4px;\n  font-size: 0.8rem;\n  opacity: 0;\n  transform: translateY(0.4rem);\n  transition: all 0.2s ease;\n}\n\n/* \u663e\u793a\u63d0\u793a */\n.md-clipboard:hover .md-clipboard__tooltip {\n  opacity: 1;\n  transform: translateY(0);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#444","title":"4.4.4 \u6ce8\u91ca\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#4441","title":"4.4.4.1 \u884c\u5185\u6ce8\u91ca","text":"<p>\u4f7f\u7528\u884c\u5185\u6ce8\u91ca\uff1a</p> Markdown<pre><code>```python\ndef hello():\n    print(\"Hello\")  # (1)\n    return True     # (2)\n```\n\n1. \u6253\u5370\u95ee\u5019\u4fe1\u606f\n2. \u8fd4\u56de\u6210\u529f\u72b6\u6001\n</code></pre> <p>\u914d\u7f6e\u6ce8\u91ca\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u884c\u5185\u6ce8\u91ca\u6807\u8bb0 */\n.md-annotation {\n  color: var(--md-accent-fg-color);\n  font-size: 0.8em;\n  vertical-align: super;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4442","title":"4.4.4.2 \u5757\u7ea7\u6ce8\u91ca","text":"<p>\u4f7f\u7528\u5757\u7ea7\u6ce8\u91ca\uff1a</p> Markdown<pre><code>```python\ndef process_data():\n    # (1)!\n    data = load_data()\n\n    # (2)!\n    result = transform(data)\n\n    return result\n```\n\n1. \u4ece\u6570\u636e\u6e90\u52a0\u8f7d\u6570\u636e\n   \u8fd9\u91cc\u53ef\u4ee5\u662f\u591a\u884c\n   \u6ce8\u91ca\u8bf4\u660e\n\n2. \u5bf9\u6570\u636e\u8fdb\u884c\u8f6c\u6362\u5904\u7406\n   \u5305\u542b\u6e05\u6d17\u548c\u683c\u5f0f\u5316\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4443","title":"4.4.4.3 \u6ce8\u91ca\u6837\u5f0f","text":"<p>\u81ea\u5b9a\u4e49\u6ce8\u91ca\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u6ce8\u91ca\u5bb9\u5668 */\n.md-annotation-wrapper {\n  margin: 1rem 0;\n  padding: 1rem;\n  background-color: var(--md-code-bg-color);\n  border-left: 4px solid var(--md-accent-fg-color);\n  border-radius: 4px;\n}\n\n/* \u6ce8\u91ca\u6807\u8bb0 */\n.md-annotation-marker {\n  color: var(--md-accent-fg-color);\n  font-weight: bold;\n}\n\n/* \u6ce8\u91ca\u5185\u5bb9 */\n.md-annotation-content {\n  margin-top: 0.5rem;\n  color: var(--md-default-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#445","title":"4.4.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\n\ntheme:\n  name: material\n  features:\n    - content.code.annotate\n    - content.code.copy\n\nmarkdown_extensions:\n  - pymdownx.highlight:\n      anchor_linenums: true\n      line_spans: __span\n      pygments_lang_class: true\n      use_pygments: true\n      auto_title: true\n      linenums: true\n      linenums_style: table\n  - pymdownx.superfences\n  - pymdownx.inlinehilite\n\nextra:\n  clipboard:\n    copy: \u590d\u5236\n    copied: \u5df2\u590d\u5236\uff01\n    error: \u590d\u5236\u5931\u8d25\n\nextra_css:\n  - stylesheets/code.css\n\nextra_javascript:\n  - javascripts/clipboard.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#45","title":"4.5 \u5185\u5bb9\u589e\u5f3a","text":""},{"location":"Technology/mkdocs%20material/#451","title":"4.5.1 \u6570\u5b66\u516c\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#4511-katex","title":"4.5.1.1 KaTeX \u914d\u7f6e","text":"<p>\u5b89\u88c5\u548c\u914d\u7f6e KaTeX\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n\nextra_javascript:\n  - javascripts/katex.js \n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js  \n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n\nextra_css:\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css\n</code></pre> <p>\u521b\u5efa <code>docs/javascripts/katex.js</code> \uff1a</p> JavaScript<pre><code>document.addEventListener(\"DOMContentLoaded\", function() {\n  renderMathInElement(document.body, {\n    delimiters: [\n      {left: \"$$\", right: \"$$\", display: true},\n      {left: \"$\", right: \"$\", display: false},\n      {left: \"\\\\(\", right: \"\\\\)\", display: false},\n      {left: \"\\\\[\", right: \"\\\\]\", display: true}\n    ],\n    throwOnError: false\n  });\n});\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>\u5185\u8054\u516c\u5f0f: $E = mc^2$\n\n\u5757\u7ea7\u516c\u5f0f\uff1a\n$$\n\\frac{n!}{k!(n-k)!} = \\binom{n}{k}\n$$\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4512-mathjax","title":"4.5.1.2 MathJax \u914d\u7f6e","text":"<p>\u914d\u7f6e MathJax\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n\nextra_javascript:\n  - javascripts/mathjax.js\n  - https://polyfill.io/v3/polyfill.min.js?features=es6\n  - https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js\n</code></pre> <p>\u521b\u5efa <code>docs/javascripts/mathjax.js</code> \uff1a</p> JavaScript<pre><code>window.MathJax = {\n  tex: {\n    inlineMath: [[\"\\\\(\", \"\\\\)\"]],\n    displayMath: [[\"\\\\[\", \"\\\\]\"]],\n    processEscapes: true,\n    processEnvironments: true\n  },\n  options: {\n    ignoreHtmlClass: \".*|\",\n    processHtmlClass: \"arithmatex\"\n  }\n};\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4513","title":"4.5.1.3 \u516c\u5f0f\u7f16\u53f7","text":"<p>\u542f\u7528\u516c\u5f0f\u7f16\u53f7\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n      numbering: true\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>$$\n\\begin{equation}\nE = mc^2 \\label{eq:einstein}\n\\end{equation}\n$$\n\n\u5f15\u7528\u516c\u5f0f $\\eqref{eq:einstein}$\n</code></pre>"},{"location":"Technology/mkdocs%20material/#452","title":"4.5.2 \u56fe\u8868\u652f\u6301","text":""},{"location":"Technology/mkdocs%20material/#4521-mermaid","title":"4.5.2.1 Mermaid \u96c6\u6210","text":"<p>\u914d\u7f6e Mermaid\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\nextra_javascript:\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Text Only<pre><code>graph TD\n    A[\u5f00\u59cb] --&gt; B{\u5224\u65ad}\n    B --&gt;|Yes| C[\u5904\u7406]\n    B --&gt;|No| D[\u7ed3\u675f]\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4522-plantuml","title":"4.5.2.2 PlantUML \u652f\u6301","text":"<p>\u914d\u7f6e PlantUML\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: plantuml\n          class: plantuml\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\nextra_javascript:\n  - https://cdn.jsdelivr.net/npm/plantuml-encoder@1.4.0/dist/plantuml-encoder.min.js\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Text Only<pre><code>@startuml\nAlice -&gt; Bob: \u8bf7\u6c42\nBob --&gt; Alice: \u54cd\u5e94\n@enduml\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4523","title":"4.5.2.3 \u81ea\u5b9a\u4e49\u56fe\u8868","text":"<p>\u521b\u5efa\u81ea\u5b9a\u4e49\u56fe\u8868\u7ec4\u4ef6\uff1a</p> JavaScript<pre><code>// docs/javascripts/charts.js\nimport Chart from 'chart.js/auto';\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const chartElements = document.querySelectorAll('.custom-chart');\n\n  chartElements.forEach(element =&gt; {\n    const ctx = element.getContext('2d');\n    const data = JSON.parse(element.dataset.chartData);\n\n    new Chart(ctx, {\n      type: data.type,\n      data: data.data,\n      options: data.options\n    });\n  });\n});\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> HTML<pre><code>&lt;canvas class=\"custom-chart\" data-chart-data='{\n  \"type\": \"line\",\n  \"data\": {\n    \"labels\": [\"1\u6708\", \"2\u6708\", \"3\u6708\"],\n    \"datasets\": [{\n      \"label\": \"\u6570\u636e\",\n      \"data\": [10, 20, 30]\n    }]\n  }\n}'&gt;&lt;/canvas&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#453","title":"4.5.3 \u4efb\u52a1\u5217\u8868","text":""},{"location":"Technology/mkdocs%20material/#4531","title":"4.5.3.1 \u590d\u9009\u6846\u6837\u5f0f","text":"<p>\u914d\u7f6e\u4efb\u52a1\u5217\u8868\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.tasklist:\n      custom_checkbox: true\n      clickable_checkbox: true\n</code></pre> <p>\u81ea\u5b9a\u4e49\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/tasklist.css */\n\n.task-list-item {\n  list-style-type: none;\n  margin-left: -1.6rem;\n}\n\n.task-list-control {\n  position: relative;\n  display: inline-block;\n  width: 1.2rem;\n  height: 1.2rem;\n  margin-right: 0.5rem;\n  vertical-align: middle;\n}\n\n.task-list-indicator {\n  position: absolute;\n  top: 0;\n  left: 0;\n  width: 100%;\n  height: 100%;\n  background-color: var(--md-default-fg-color--lighter);\n  border-radius: 2px;\n  transition: all 0.2s ease;\n}\n\n.task-list-indicator:checked {\n  background-color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4532","title":"4.5.3.2 \u4ea4\u4e92\u884c\u4e3a","text":"<p>\u6dfb\u52a0\u4ea4\u4e92\u529f\u80fd\uff1a</p> JavaScript<pre><code>// docs/javascripts/tasklist.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const taskItems = document.querySelectorAll('.task-list-item input[type=\"checkbox\"]');\n\n  taskItems.forEach(item =&gt; {\n    item.addEventListener('change', function() {\n      // \u4fdd\u5b58\u72b6\u6001\n      localStorage.setItem(\n        `task-${this.closest('.task-list-item').id}`,\n        this.checked\n      );\n\n      // \u66f4\u65b0\u6837\u5f0f\n      if (this.checked) {\n        this.closest('.task-list-item').classList.add('completed');\n      } else {\n        this.closest('.task-list-item').classList.remove('completed');\n      }\n    });\n\n    // \u6062\u590d\u72b6\u6001\n    const saved = localStorage.getItem(`task-${item.closest('.task-list-item').id}`);\n    if (saved === 'true') {\n      item.checked = true;\n      item.closest('.task-list-item').classList.add('completed');\n    }\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4533","title":"4.5.3.3 \u72b6\u6001\u7ba1\u7406","text":"CSS<pre><code>/* \u4efb\u52a1\u72b6\u6001\u6837\u5f0f */\n.task-list-item.completed {\n  text-decoration: line-through;\n  color: var(--md-default-fg-color--light);\n}\n\n.task-list-item.pending {\n  font-weight: bold;\n}\n\n.task-list-item.in-progress {\n  color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#454","title":"4.5.4 \u6807\u7b7e\u9875","text":""},{"location":"Technology/mkdocs%20material/#4541","title":"4.5.4.1 \u6807\u7b7e\u7ec4\u6837\u5f0f","text":"<p>\u914d\u7f6e\u6807\u7b7e\u9875\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.tabbed:\n      alternate_style: true \n</code></pre> <p>\u81ea\u5b9a\u4e49\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/tabs.css */\n\n/* \u6807\u7b7e\u7ec4\u5bb9\u5668 */\n.tabbed-set {\n  border: 1px solid var(--md-default-fg-color--lightest);\n  border-radius: 4px;\n  margin: 1rem 0;\n}\n\n/* \u6807\u7b7e\u5217\u8868 */\n.tabbed-labels {\n  display: flex;\n  background-color: var(--md-code-bg-color);\n  border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u5355\u4e2a\u6807\u7b7e */\n.tabbed-labels &gt; label {\n  padding: 0.8rem 1.2rem;\n  cursor: pointer;\n  transition: all 0.2s ease;\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.tabbed-labels &gt; label.tabbed-selected {\n  color: var(--md-accent-fg-color);\n  border-bottom: 2px solid var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4542","title":"4.5.4.2 \u5207\u6362\u6548\u679c","text":"<p>\u6dfb\u52a0\u52a8\u753b\u6548\u679c\uff1a</p> CSS<pre><code>/* \u6807\u7b7e\u5185\u5bb9\u5207\u6362\u52a8\u753b */\n.tabbed-content {\n  padding: 1rem;\n  opacity: 0;\n  transform: translateY(10px);\n  transition: all 0.3s ease;\n}\n\n.tabbed-content.tabbed-selected {\n  opacity: 1;\n  transform: translateY(0);\n}\n</code></pre> <p>\u6807\u7b7e\u9875\u4ea4\u4e92\uff1a</p> JavaScript<pre><code>// docs/javascripts/tabs.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const tabSets = document.querySelectorAll('.tabbed-set');\n\n  tabSets.forEach(tabSet =&gt; {\n    const tabs = tabSet.querySelectorAll('.tabbed-labels &gt; label');\n    const contents = tabSet.querySelectorAll('.tabbed-content');\n\n    tabs.forEach((tab, index) =&gt; {\n      tab.addEventListener('click', () =&gt; {\n        // \u66f4\u65b0\u6807\u7b7e\u72b6\u6001\n        tabs.forEach(t =&gt; t.classList.remove('tabbed-selected'));\n        tab.classList.add('tabbed-selected');\n\n        // \u66f4\u65b0\u5185\u5bb9\u72b6\u6001\n        contents.forEach(c =&gt; c.classList.remove('tabbed-selected'));\n        contents[index].classList.add('tabbed-selected');\n      });\n    });\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4543","title":"4.5.4.3 \u54cd\u5e94\u5f0f\u8bbe\u8ba1","text":"<p>\u6dfb\u52a0\u54cd\u5e94\u5f0f\u652f\u6301\uff1a</p> CSS<pre><code>/* \u79fb\u52a8\u7aef\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n  .tabbed-labels {\n    flex-wrap: wrap;\n  }\n\n  .tabbed-labels &gt; label {\n    flex: 1 1 auto;\n    text-align: center;\n  }\n\n  .tabbed-content {\n    padding: 0.8rem;\n  }\n}\n\n/* \u5e73\u677f\u9002\u914d */\n@media screen and (min-width: 76.25em) {\n  .tabbed-set {\n    max-width: 80%;\n    margin: 1rem auto;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#455","title":"4.5.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\n\nmarkdown_extensions:\n  # \u6570\u5b66\u516c\u5f0f\n  - pymdownx.arithmatex:\n      generic: true\n\n  # \u56fe\u8868\u652f\u6301\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n        - name: plantuml\n          class: plantuml\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\n  # \u4efb\u52a1\u5217\u8868\n  - pymdownx.tasklist:\n      custom_checkbox: true\n      clickable_checkbox: true\n\n  # \u6807\u7b7e\u9875\n  - pymdownx.tabbed:\n      alternate_style: true\n\nextra_javascript:\n  - javascripts/katex.js\n  - javascripts/mermaid.js\n  - javascripts/charts.js\n  - javascripts/tasklist.js\n  - javascripts/tabs.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n\nextra_css:\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css\n  - stylesheets/tasklist.css\n  - stylesheets/tabs.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5","title":"5 \u6837\u5f0f\u5b9a\u5236","text":""},{"location":"Technology/mkdocs%20material/#51-css","title":"5.1 CSS \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#511-css","title":"5.1.1 \u81ea\u5b9a\u4e49 CSS \u6587\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#5111-css","title":"5.1.1.1 CSS \u6587\u4ef6\u7ec4\u7ec7","text":"<ol> <li>\u63a8\u8350\u7684\u76ee\u5f55\u7ed3\u6784\uff1a</li> </ol> Text Only<pre><code>docs/\n\u251c\u2500\u2500 stylesheets/\n\u2502   \u251c\u2500\u2500 base/\n\u2502   \u2502   \u251c\u2500\u2500 _variables.css    # CSS\u53d8\u91cf\u5b9a\u4e49\n\u2502   \u2502   \u251c\u2500\u2500 _typography.css   # \u6392\u7248\u6837\u5f0f\n\u2502   \u2502   \u2514\u2500\u2500 _colors.css       # \u989c\u8272\u5b9a\u4e49\n\u2502   \u251c\u2500\u2500 components/\n\u2502   \u2502   \u251c\u2500\u2500 _buttons.css      # \u6309\u94ae\u6837\u5f0f\n\u2502   \u2502   \u251c\u2500\u2500 _cards.css        # \u5361\u7247\u6837\u5f0f\n\u2502   \u2502   \u2514\u2500\u2500 _tables.css       # \u8868\u683c\u6837\u5f0f\n\u2502   \u251c\u2500\u2500 layouts/\n\u2502   \u2502   \u251c\u2500\u2500 _header.css       # \u5934\u90e8\u6837\u5f0f\n\u2502   \u2502   \u251c\u2500\u2500 _nav.css         # \u5bfc\u822a\u6837\u5f0f\n\u2502   \u2502   \u2514\u2500\u2500 _footer.css      # \u9875\u811a\u6837\u5f0f\n\u2502   \u2514\u2500\u2500 extra.css            # \u4e3b\u6837\u5f0f\u6587\u4ef6\n</code></pre> <ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u5f15\u5165\u6837\u5f0f\uff1a</li> </ol> YAML<pre><code>extra_css:\n  - stylesheets/extra.css\n</code></pre> <ol> <li>\u5728\u4e3b\u6837\u5f0f\u6587\u4ef6\u4e2d\u5bfc\u5165\u5176\u4ed6\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/extra.css */\n\n/* \u57fa\u7840\u6837\u5f0f */\n@import 'base/_variables.css';\n@import 'base/_typography.css';\n@import 'base/_colors.css';\n\n/* \u7ec4\u4ef6\u6837\u5f0f */\n@import 'components/_buttons.css';\n@import 'components/_cards.css';\n@import 'components/_tables.css';\n\n/* \u5e03\u5c40\u6837\u5f0f */\n@import 'layouts/_header.css';\n@import 'layouts/_nav.css';\n@import 'layouts/_footer.css';\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5112","title":"5.1.1.2 \u6837\u5f0f\u4f18\u5148\u7ea7","text":"<ol> <li>\u6837\u5f0f\u4f18\u5148\u7ea7\u89c4\u5219\uff1a</li> </ol> CSS<pre><code>/* 1. \u884c\u5185\u6837\u5f0f (1000) */\n&lt;div style=\"color: red;\"&gt;\n\n/* 2. ID \u9009\u62e9\u5668 (100) */\n#header { }\n\n/* 3. \u7c7b\u9009\u62e9\u5668\u3001\u5c5e\u6027\u9009\u62e9\u5668\u3001\u4f2a\u7c7b (10) */\n.nav-item { }\n[type=\"text\"] { }\n:hover { }\n\n/* 4. \u5143\u7d20\u9009\u62e9\u5668\u3001\u4f2a\u5143\u7d20 (1) */\ndiv { }\n::before { }\n</code></pre> <ol> <li>Material \u4e3b\u9898\u8986\u76d6\uff1a</li> </ol> CSS<pre><code>/* \u8986\u76d6\u4e3b\u9898\u6837\u5f0f */\n.md-header {\n  /* \u4f7f\u7528 !important \u614e\u91cd */\n  background-color: #2196f3 !important;\n}\n\n/* \u4f7f\u7528\u66f4\u5177\u4f53\u7684\u9009\u62e9\u5668 */\n.md-header[data-md-color-scheme=\"default\"] {\n  background-color: #2196f3;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5113-css","title":"5.1.1.3 CSS \u53d8\u91cf","text":"<ol> <li>\u5b9a\u4e49\u5168\u5c40\u53d8\u91cf\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/base/_variables.css */\n\n:root {\n  /* \u989c\u8272\u53d8\u91cf */\n  --primary-color: #2196f3;\n  --accent-color: #f50057;\n  --text-color: #333333;\n\n  /* \u5b57\u4f53\u53d8\u91cf */\n  --font-family: \"LXGW WenKai\", -apple-system, sans-serif;\n  --code-font: \"JetBrains Mono\", monospace;\n\n  /* \u95f4\u8ddd\u53d8\u91cf */\n  --spacing-unit: 8px;\n  --content-padding: calc(var(--spacing-unit) * 2);\n\n  /* \u9634\u5f71\u53d8\u91cf */\n  --shadow-sm: 0 1px 2px rgba(0,0,0,0.1);\n  --shadow-md: 0 2px 4px rgba(0,0,0,0.1);\n  --shadow-lg: 0 4px 8px rgba(0,0,0,0.1);\n}\n</code></pre> <ol> <li>\u4e3b\u9898\u53d8\u91cf\uff1a</li> </ol> CSS<pre><code>/* \u4eae\u8272\u4e3b\u9898 */\n[data-md-color-scheme=\"default\"] {\n  --md-primary-fg-color: var(--primary-color);\n  --md-accent-fg-color: var(--accent-color);\n  --md-typeset-color: var(--text-color);\n}\n\n/* \u6697\u8272\u4e3b\u9898 */\n[data-md-color-scheme=\"slate\"] {\n  --primary-color: #90caf9;\n  --accent-color: #ff4081;\n  --text-color: #ffffff;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#512","title":"5.1.2 \u5e38\u7528\u6837\u5f0f\u4fee\u6539","text":""},{"location":"Technology/mkdocs%20material/#5121","title":"5.1.2.1 \u5b57\u4f53\u8bbe\u7f6e","text":"<ol> <li>\u5b57\u4f53\u5b9a\u4e49\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/base/_typography.css */\n\n/* \u57fa\u7840\u5b57\u4f53\u8bbe\u7f6e */\nbody {\n  font-family: var(--font-family);\n  font-size: 16px;\n  line-height: 1.6;\n}\n\n/* \u4ee3\u7801\u5b57\u4f53 */\ncode, pre {\n  font-family: var(--code-font);\n  font-size: 0.9em;\n}\n\n/* \u6807\u9898\u5b57\u4f53 */\nh1, h2, h3, h4, h5, h6 {\n  font-family: var(--font-family);\n  font-weight: 600;\n  margin: calc(var(--spacing-unit) * 3) 0;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5122","title":"5.1.2.2 \u989c\u8272\u5b9a\u5236","text":"CSS<pre><code>/* docs/stylesheets/base/_colors.css */\n\n/* \u6587\u672c\u989c\u8272 */\n.md-typeset {\n  color: var(--text-color);\n}\n\n/* \u94fe\u63a5\u989c\u8272 */\n.md-typeset a {\n  color: var(--md-accent-fg-color);\n}\n\n/* \u4ee3\u7801\u5757\u989c\u8272 */\n.highlight {\n  background-color: var(--md-code-bg-color);\n}\n\n/* \u5f15\u7528\u5757\u989c\u8272 */\nblockquote {\n  border-left: 4px solid var(--md-accent-fg-color);\n  background-color: var(--md-code-bg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5123","title":"5.1.2.3 \u95f4\u8ddd\u8c03\u6574","text":"CSS<pre><code>/* \u5185\u5bb9\u95f4\u8ddd */\n.md-main__inner {\n  padding: var(--content-padding);\n}\n\n/* \u6bb5\u843d\u95f4\u8ddd */\n.md-typeset p {\n  margin: var(--spacing-unit) 0;\n}\n\n/* \u5217\u8868\u95f4\u8ddd */\n.md-typeset ul li,\n.md-typeset ol li {\n  margin-bottom: calc(var(--spacing-unit) * 0.5);\n}\n\n/* \u6807\u9898\u95f4\u8ddd */\n.md-typeset h1 {\n  margin-top: calc(var(--spacing-unit) * 4);\n  margin-bottom: calc(var(--spacing-unit) * 2);\n}\n\n.md-typeset h2 {\n  margin-top: calc(var(--spacing-unit) * 3);\n  margin-bottom: calc(var(--spacing-unit) * 1.5);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5124","title":"5.1.2.4 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"<p>\u5728 <code>mkdocs.yml</code> \u4e2d\u7684\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  font: false  # \u7981\u7528\u9ed8\u8ba4\u5b57\u4f53\n\nextra_css:\n  - stylesheets/extra.css\n\nextra:\n  css_variables:\n    spacing_unit: 8px\n    content_width: 960px\n</code></pre>"},{"location":"Technology/mkdocs%20material/#52","title":"5.2 \u4e3b\u9898\u6837\u5f0f\u8986\u76d6","text":""},{"location":"Technology/mkdocs%20material/#521","title":"5.2.1 \u7ec4\u4ef6\u6837\u5f0f\u4fee\u6539","text":""},{"location":"Technology/mkdocs%20material/#5211","title":"5.2.1.1 \u5bfc\u822a\u680f\u6837\u5f0f","text":"<ol> <li>\u9876\u90e8\u5bfc\u822a\u680f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/components/header.css */\n\n/* \u5bfc\u822a\u680f\u5bb9\u5668 */\n.md-header {\n  background-color: var(--md-primary-fg-color);\n  box-shadow: 0 2px 4px rgba(0,0,0,.14);\n  height: 3rem;\n}\n\n/* \u5bfc\u822a\u680f\u6807\u9898 */\n.md-header__title {\n  font-size: 1.2rem;\n  font-weight: 600;\n  margin-left: 1rem;\n}\n\n/* \u5bfc\u822a\u680f\u6309\u94ae */\n.md-header__button {\n  padding: .8rem;\n  color: var(--md-primary-bg-color);\n}\n\n/* \u5bfc\u822a\u680f\u641c\u7d22\u6846 */\n.md-search__input {\n  border-radius: 2rem;\n  background-color: rgba(255,255,255,.1);\n  padding: 0 2.4rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5212","title":"5.2.1.2 \u4fa7\u8fb9\u680f\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/components/sidebar.css */\n\n/* \u4fa7\u8fb9\u680f\u5bb9\u5668 */\n.md-sidebar {\n  width: 14rem;\n  background-color: var(--md-default-bg-color);\n  padding: 1.2rem 0;\n}\n\n/* \u4fa7\u8fb9\u680f\u5bfc\u822a */\n.md-nav--primary {\n  padding: 0 .8rem;\n}\n\n/* \u5bfc\u822a\u9879 */\n.md-nav__item {\n  padding: .2rem 0;\n}\n\n/* \u5bfc\u822a\u94fe\u63a5 */\n.md-nav__link {\n  color: var(--md-default-fg-color);\n  padding: .4rem .6rem;\n  border-radius: 4px;\n  transition: all .2s;\n}\n\n.md-nav__link:hover {\n  background-color: var(--md-code-bg-color);\n  color: var(--md-accent-fg-color);\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.md-nav__link--active {\n  font-weight: 600;\n  color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5213","title":"5.2.1.3 \u9875\u811a\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/components/footer.css */\n\n/* \u9875\u811a\u5bb9\u5668 */\n.md-footer {\n  background-color: var(--md-default-bg-color--darkest);\n  color: var(--md-footer-fg-color);\n}\n\n/* \u9875\u811a\u5185\u5bb9 */\n.md-footer-meta {\n  background-color: rgba(0,0,0,.1);\n  padding: 1rem 0;\n}\n\n/* \u9875\u811a\u94fe\u63a5 */\n.md-footer__link {\n  padding: .4rem 1rem;\n  color: var(--md-footer-fg-color--light);\n}\n\n/* \u7248\u6743\u4fe1\u606f */\n.md-footer-copyright {\n  font-size: .8rem;\n  color: var(--md-footer-fg-color--lighter);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#522","title":"5.2.2 \u81ea\u5b9a\u4e49\u8c03\u8272\u677f","text":""},{"location":"Technology/mkdocs%20material/#5221","title":"5.2.2.1 \u4e3b\u9898\u8272\u5b9a\u5236","text":"<ol> <li>\u57fa\u7840\u989c\u8272\u5b9a\u4e49\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/theme/colors.css */\n\n:root {\n  /* \u4e3b\u8272\u8c03 */\n  --md-primary-hue: 210;\n  --md-primary-saturation: 80%;\n  --md-primary-lightness: 45%;\n\n  /* \u5f3a\u8c03\u8272 */\n  --md-accent-hue: 340;\n  --md-accent-saturation: 90%;\n  --md-accent-lightness: 50%;\n}\n</code></pre> <ol> <li>\u989c\u8272\u53d8\u91cf\u5e94\u7528\uff1a</li> </ol> CSS<pre><code>:root {\n  --md-primary-fg-color: hsl(\n    var(--md-primary-hue),\n    var(--md-primary-saturation),\n    var(--md-primary-lightness)\n  );\n\n  --md-accent-fg-color: hsl(\n    var(--md-accent-hue),\n    var(--md-accent-saturation),\n    var(--md-accent-lightness)\n  );\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5222","title":"5.2.2.2 \u914d\u8272\u65b9\u6848","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  palette:\n    # \u4eae\u8272\u6a21\u5f0f\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo\n      accent: deep purple\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n\n    # \u6697\u8272\u6a21\u5f0f\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: blue grey\n      accent: deep purple\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5223","title":"5.2.2.3 \u6697\u8272\u4e3b\u9898","text":"CSS<pre><code>/* \u6697\u8272\u4e3b\u9898\u53d8\u91cf */\n[data-md-color-scheme=\"slate\"] {\n  --md-default-bg-color: #1a1a1a;\n  --md-default-bg-color--light: #222222;\n  --md-default-bg-color--lighter: #282828;\n\n  --md-default-fg-color: rgba(255,255,255,0.87);\n  --md-default-fg-color--light: rgba(255,255,255,0.54);\n  --md-default-fg-color--lighter: rgba(255,255,255,0.32);\n\n  --md-code-bg-color: #2d2d2d;\n  --md-code-fg-color: #f5f5f5;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#523","title":"5.2.3 \u5b57\u4f53\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#5231","title":"5.2.3.1 \u4e2d\u6587\u5b57\u4f53","text":"<ol> <li>\u5b57\u4f53\u5b9a\u4e49\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/theme/fonts.css */\n\n/* \u4e2d\u6587\u5b57\u4f53\u53d8\u91cf */\n:root {\n  --md-font-chinese: \"LXGW WenKai\", \"PingFang SC\", \"Microsoft YaHei\";\n}\n\n/* \u5f15\u5165 LXGW WenKai \u5b57\u4f53 */\n@font-face {\n  font-family: \"LXGW WenKai\";\n  src: url(\"https://cdn.jsdelivr.net/npm/lxgw-wenkai-webfont@1.1.0/style.css\");\n  font-display: swap;\n}\n</code></pre> <ol> <li>\u5b57\u4f53\u5e94\u7528\uff1a</li> </ol> CSS<pre><code>body {\n  font-family: var(--md-font-chinese), -apple-system, sans-serif;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5232","title":"5.2.3.2 \u4ee3\u7801\u5b57\u4f53","text":"CSS<pre><code>/* \u4ee3\u7801\u5b57\u4f53\u914d\u7f6e */\n:root {\n  --md-code-font: \"JetBrains Mono\", \"Fira Code\", \"Source Code Pro\", monospace;\n}\n\n/* \u4ee3\u7801\u5757\u6837\u5f0f */\n.md-typeset code,\n.md-typeset pre {\n  font-family: var(--md-code-font);\n  font-size: 0.9em;\n}\n\n/* \u884c\u5185\u4ee3\u7801 */\n.md-typeset code {\n  border-radius: 4px;\n  padding: .2em .4em;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5233","title":"5.2.3.3 \u5b57\u4f53\u56de\u9000","text":"CSS<pre><code>/* \u5b57\u4f53\u56de\u9000\u7b56\u7565 */\n:root {\n  --md-text-font-fallback: -apple-system, BlinkMacSystemFont, Segoe UI, Helvetica,\n    Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji;\n\n  --md-code-font-fallback: SFMono-Regular, Consolas, Menlo, monospace;\n}\n\n/* \u5e94\u7528\u56de\u9000\u5b57\u4f53 */\nbody {\n  font-family: var(--md-font-chinese), var(--md-text-font-fallback);\n}\n\npre, code {\n  font-family: var(--md-code-font), var(--md-code-font-fallback);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#524","title":"5.2.4 \u5e03\u5c40\u8c03\u6574","text":""},{"location":"Technology/mkdocs%20material/#5241","title":"5.2.4.1 \u54cd\u5e94\u5f0f\u5e03\u5c40","text":"CSS<pre><code>/* docs/stylesheets/theme/layout.css */\n\n/* \u57fa\u7840\u54cd\u5e94\u5f0f\u5e03\u5c40 */\n.md-grid {\n  max-width: 100%;\n  margin: 0 auto;\n}\n\n/* \u684c\u9762\u7aef */\n@media screen and (min-width: 76.25em) {\n  .md-grid {\n    max-width: 76rem;\n  }\n\n  .md-sidebar--primary {\n    width: 14rem;\n  }\n\n  .md-sidebar--secondary {\n    width: 12rem;\n    margin-left: 76rem;\n  }\n}\n\n/* \u5e73\u677f\u7aef */\n@media screen and (max-width: 76.1875em) {\n  .md-grid {\n    max-width: 60rem;\n  }\n\n  .md-header-nav__title {\n    display: none;\n  }\n}\n\n/* \u79fb\u52a8\u7aef */\n@media screen and (max-width: 44.9375em) {\n  .md-grid {\n    max-width: 100%;\n    padding: 0 1rem;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5242","title":"5.2.4.2 \u7f51\u683c\u7cfb\u7edf","text":"CSS<pre><code>/* \u81ea\u5b9a\u4e49\u7f51\u683c\u7cfb\u7edf */\n.grid {\n  display: grid;\n  gap: 1rem;\n  margin: 1rem 0;\n}\n\n/* \u7f51\u683c\u5217\u6570 */\n.grid-cols-1 { grid-template-columns: repeat(1, 1fr); }\n.grid-cols-2 { grid-template-columns: repeat(2, 1fr); }\n.grid-cols-3 { grid-template-columns: repeat(3, 1fr); }\n.grid-cols-4 { grid-template-columns: repeat(4, 1fr); }\n\n/* \u54cd\u5e94\u5f0f\u7f51\u683c */\n@media (min-width: 768px) {\n  .md-grid-cols-md-2 { grid-template-columns: repeat(2, 1fr); }\n  .md-grid-cols-md-3 { grid-template-columns: repeat(3, 1fr); }\n}\n\n@media (min-width: 1024px) {\n  .md-grid-cols-lg-3 { grid-template-columns: repeat(3, 1fr); }\n  .md-grid-cols-lg-4 { grid-template-columns: repeat(4, 1fr); }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5243","title":"5.2.4.3 \u5bb9\u5668\u5bbd\u5ea6","text":"CSS<pre><code>/* \u5bb9\u5668\u5bbd\u5ea6\u5b9a\u4e49 */\n:root {\n  --md-container-width: 80rem;\n  --md-container-padding: 1rem;\n}\n\n/* \u5bb9\u5668\u6837\u5f0f */\n.md-container {\n  max-width: var(--md-container-width);\n  margin: 0 auto;\n  padding: 0 var(--md-container-padding);\n}\n\n/* \u4e0d\u540c\u5c3a\u5bf8\u7684\u5bb9\u5668 */\n.md-container--small {\n  max-width: 60rem;\n}\n\n.md-container--medium {\n  max-width: 70rem;\n}\n\n.md-container--large {\n  max-width: 90rem;\n}\n\n/* \u6d41\u5f0f\u5bb9\u5668 */\n.md-container--fluid {\n  max-width: 100%;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#525","title":"5.2.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  name: material\n  font: false\n  features:\n    - navigation.tabs\n    - navigation.sections\n    - navigation.expand\n  palette:\n    - scheme: default\n      primary: indigo\n      accent: deep purple\n    - scheme: slate\n      primary: blue grey\n      accent: deep purple\n\nextra_css:\n  - stylesheets/theme/colors.css\n  - stylesheets/theme/fonts.css\n  - stylesheets/theme/layout.css\n  - stylesheets/components/header.css\n  - stylesheets/components/sidebar.css\n  - stylesheets/components/footer.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#53","title":"5.3 \u81ea\u5b9a\u4e49\u7ec4\u4ef6\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#531","title":"5.3.1 \u5361\u7247\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5311","title":"5.3.1.1 \u57fa\u7840\u5361\u7247","text":"<p>\u57fa\u7840\u5361\u7247\u6837\u5f0f\u5b9a\u4e49\uff1a</p> CSS<pre><code>/* docs/stylesheets/components/cards.css */\n\n/* \u57fa\u7840\u5361\u7247\u5bb9\u5668 */\n.card {\n  background-color: var(--md-default-bg-color);\n  border-radius: 8px;\n  box-shadow: var(--md-shadow-z1);\n  padding: 1.5rem;\n  margin: 1rem 0;\n  transition: all 0.3s ease;\n}\n\n/* \u5361\u7247\u6807\u9898 */\n.card__title {\n  font-size: 1.25rem;\n  font-weight: 600;\n  margin-bottom: 1rem;\n  color: var(--md-typeset-color);\n}\n\n/* \u5361\u7247\u5185\u5bb9 */\n.card__content {\n  font-size: 0.9rem;\n  color: var(--md-default-fg-color--light);\n  line-height: 1.6;\n}\n\n/* \u5361\u7247\u5e95\u90e8 */\n.card__footer {\n  margin-top: 1rem;\n  padding-top: 1rem;\n  border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> HTML<pre><code>&lt;div class=\"card\"&gt;\n  &lt;div class=\"card__title\"&gt;\u5361\u7247\u6807\u9898&lt;/div&gt;\n  &lt;div class=\"card__content\"&gt;\n    \u8fd9\u91cc\u662f\u5361\u7247\u5185\u5bb9...\n  &lt;/div&gt;\n  &lt;div class=\"card__footer\"&gt;\n    \u5361\u7247\u5e95\u90e8\u4fe1\u606f\n  &lt;/div&gt;\n&lt;/div&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5312","title":"5.3.1.2 \u56fe\u7247\u5361\u7247","text":"CSS<pre><code>/* \u56fe\u7247\u5361\u7247\u6837\u5f0f */\n.card--image {\n  padding: 0;\n  overflow: hidden;\n}\n\n/* \u56fe\u7247\u5bb9\u5668 */\n.card__image {\n  width: 100%;\n  height: 200px;\n  position: relative;\n  overflow: hidden;\n}\n\n/* \u56fe\u7247\u6837\u5f0f */\n.card__image img {\n  width: 100%;\n  height: 100%;\n  object-fit: cover;\n  transition: transform 0.3s ease;\n}\n\n/* \u56fe\u7247\u60ac\u505c\u6548\u679c */\n.card--image:hover img {\n  transform: scale(1.05);\n}\n\n/* \u56fe\u7247\u5361\u7247\u5185\u5bb9\u533a */\n.card--image .card__content {\n  padding: 1.5rem;\n}\n\n/* \u56fe\u7247\u6807\u9898\u8986\u76d6 */\n.card__image-title {\n  position: absolute;\n  bottom: 0;\n  left: 0;\n  right: 0;\n  padding: 1rem;\n  background: linear-gradient(to top, rgba(0,0,0,0.7), transparent);\n  color: white;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5313","title":"5.3.1.3 \u7279\u6548\u5361\u7247","text":"CSS<pre><code>/* \u60ac\u6d6e\u6548\u679c\u5361\u7247 */\n.card--hover {\n  cursor: pointer;\n}\n\n.card--hover:hover {\n  transform: translateY(-4px);\n  box-shadow: var(--md-shadow-z2);\n}\n\n/* \u6e10\u53d8\u80cc\u666f\u5361\u7247 */\n.card--gradient {\n  background: linear-gradient(135deg, \n    var(--md-primary-fg-color) 0%,\n    var(--md-accent-fg-color) 100%);\n  color: white;\n}\n\n/* \u6bdb\u73bb\u7483\u6548\u679c\u5361\u7247 */\n.card--glass {\n  background: rgba(255, 255, 255, 0.1);\n  backdrop-filter: blur(10px);\n  border: 1px solid rgba(255, 255, 255, 0.2);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#532","title":"5.3.2 \u63d0\u793a\u6846\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5321","title":"5.3.2.1 \u4fe1\u606f\u63d0\u793a","text":"CSS<pre><code>/* docs/stylesheets/components/alerts.css */\n\n/* \u57fa\u7840\u63d0\u793a\u6846 */\n.alert {\n  padding: 1rem 1.5rem;\n  margin: 1rem 0;\n  border-left: 4px solid;\n  border-radius: 4px;\n}\n\n/* \u4fe1\u606f\u63d0\u793a */\n.alert--info {\n  background-color: #e3f2fd;\n  border-color: #2196f3;\n  color: #0d47a1;\n}\n\n.alert--info::before {\n  content: \"\u2139\ufe0f\";\n  margin-right: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5322","title":"5.3.2.2 \u8b66\u544a\u63d0\u793a","text":"CSS<pre><code>/* \u8b66\u544a\u63d0\u793a */\n.alert--warning {\n  background-color: #fff3e0;\n  border-color: #ff9800;\n  color: #e65100;\n}\n\n.alert--warning::before {\n  content: \"\u26a0\ufe0f\";\n  margin-right: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5323","title":"5.3.2.3 \u9519\u8bef\u63d0\u793a","text":"CSS<pre><code>/* \u9519\u8bef\u63d0\u793a */\n.alert--error {\n  background-color: #ffebee;\n  border-color: #f44336;\n  color: #b71c1c;\n}\n\n.alert--error::before {\n  content: \"\u274c\";\n  margin-right: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#533","title":"5.3.3 \u53cb\u94fe\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5331","title":"5.3.3.1 \u53cb\u94fe\u5361\u7247","text":"CSS<pre><code>/* docs/stylesheets/components/friends.css */\n\n/* \u53cb\u94fe\u5bb9\u5668 */\n.friend-links {\n  display: grid;\n  grid-template-columns: repeat(auto-fill, minmax(250px, 1fr));\n  gap: 1.5rem;\n  margin: 2rem 0;\n}\n\n/* \u53cb\u94fe\u5361\u7247 */\n.friend-link {\n  display: flex;\n  align-items: center;\n  padding: 1rem;\n  background: var(--md-default-bg-color);\n  border-radius: 8px;\n  box-shadow: var(--md-shadow-z1);\n  transition: all 0.3s ease;\n}\n\n/* \u5934\u50cf */\n.friend-link__avatar {\n  width: 60px;\n  height: 60px;\n  border-radius: 50%;\n  margin-right: 1rem;\n}\n\n/* \u4fe1\u606f */\n.friend-link__info {\n  flex: 1;\n}\n\n.friend-link__name {\n  font-weight: 600;\n  color: var(--md-typeset-color);\n}\n\n.friend-link__desc {\n  font-size: 0.85rem;\n  color: var(--md-default-fg-color--light);\n  margin-top: 0.25rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5332","title":"5.3.3.2 \u5206\u7c7b\u5c55\u793a","text":"CSS<pre><code>/* \u53cb\u94fe\u5206\u7c7b */\n.friend-links-section {\n  margin: 2rem 0;\n}\n\n/* \u5206\u7c7b\u6807\u9898 */\n.friend-links-section__title {\n  font-size: 1.25rem;\n  font-weight: 600;\n  margin-bottom: 1rem;\n  padding-left: 1rem;\n  border-left: 4px solid var(--md-accent-fg-color);\n}\n\n/* \u5206\u7c7b\u63cf\u8ff0 */\n.friend-links-section__desc {\n  color: var(--md-default-fg-color--light);\n  margin-bottom: 1.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5333","title":"5.3.3.3 \u60ac\u505c\u6548\u679c","text":"CSS<pre><code>/* \u60ac\u505c\u6548\u679c */\n.friend-link:hover {\n  transform: translateY(-2px);\n  box-shadow: var(--md-shadow-z2);\n}\n\n/* \u5934\u50cf\u52a8\u753b */\n.friend-link:hover .friend-link__avatar {\n  transform: rotate(360deg);\n  transition: transform 0.6s ease;\n}\n\n/* \u6807\u7b7e\u6548\u679c */\n.friend-link__tag {\n  display: inline-block;\n  padding: 0.2rem 0.5rem;\n  font-size: 0.75rem;\n  border-radius: 12px;\n  background-color: var(--md-code-bg-color);\n  margin-top: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#534","title":"5.3.4 \u65f6\u95f4\u7ebf\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5341","title":"5.3.4.1 \u65f6\u95f4\u8f74\u8bbe\u8ba1","text":"CSS<pre><code>/* docs/stylesheets/components/timeline.css */\n\n/* \u65f6\u95f4\u7ebf\u5bb9\u5668 */\n.timeline {\n  position: relative;\n  max-width: 800px;\n  margin: 2rem auto;\n  padding: 2rem 0;\n}\n\n/* \u65f6\u95f4\u8f74\u7ebf */\n.timeline::before {\n  content: '';\n  position: absolute;\n  top: 0;\n  left: calc(50% - 1px);\n  width: 2px;\n  height: 100%;\n  background-color: var(--md-default-fg-color--lightest);\n}\n\n/* \u65f6\u95f4\u7ebf\u9879\u76ee */\n.timeline-item {\n  position: relative;\n  margin: 2rem 0;\n}\n\n/* \u4ea4\u9519\u5e03\u5c40 */\n.timeline-item:nth-child(odd) {\n  padding-right: calc(50% + 2rem);\n}\n\n.timeline-item:nth-child(even) {\n  padding-left: calc(50% + 2rem);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5342","title":"5.3.4.2 \u8282\u70b9\u6837\u5f0f","text":"CSS<pre><code>/* \u65f6\u95f4\u8282\u70b9 */\n.timeline-node {\n  position: absolute;\n  top: 50%;\n  width: 16px;\n  height: 16px;\n  background-color: var(--md-primary-fg-color);\n  border-radius: 50%;\n  transform: translateY(-50%);\n}\n\n.timeline-item:nth-child(odd) .timeline-node {\n  right: calc(50% - 8px);\n}\n\n.timeline-item:nth-child(even) .timeline-node {\n  left: calc(50% - 8px);\n}\n\n/* \u8282\u70b9\u5185\u5bb9 */\n.timeline-content {\n  background-color: var(--md-default-bg-color);\n  padding: 1.5rem;\n  border-radius: 8px;\n  box-shadow: var(--md-shadow-z1);\n}\n\n/* \u65f6\u95f4\u6807\u7b7e */\n.timeline-date {\n  position: absolute;\n  top: 50%;\n  color: var(--md-default-fg-color--light);\n  transform: translateY(-50%);\n}\n\n.timeline-item:nth-child(odd) .timeline-date {\n  left: calc(50% + 2rem);\n}\n\n.timeline-item:nth-child(even) .timeline-date {\n  right: calc(50% + 2rem);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5343","title":"5.3.4.3 \u54cd\u5e94\u5f0f\u9002\u914d","text":"CSS<pre><code>/* \u79fb\u52a8\u7aef\u9002\u914d */\n@media screen and (max-width: 768px) {\n  .timeline::before {\n    left: 0;\n  }\n\n  .timeline-item {\n    padding-left: 2rem !important;\n    padding-right: 0 !important;\n  }\n\n  .timeline-node {\n    left: -8px !important;\n    right: auto !important;\n  }\n\n  .timeline-date {\n    position: relative;\n    top: auto;\n    left: auto !important;\n    right: auto !important;\n    margin-bottom: 0.5rem;\n  }\n}\n\n/* \u5e73\u677f\u7aef\u9002\u914d */\n@media screen and (min-width: 769px) and (max-width: 1024px) {\n  .timeline {\n    max-width: 90%;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5344","title":"5.3.4.4 \u4f7f\u7528\u793a\u4f8b","text":"HTML<pre><code>&lt;!-- \u65f6\u95f4\u7ebf\u793a\u4f8b --&gt;\n&lt;div class=\"timeline\"&gt;\n  &lt;div class=\"timeline-item\"&gt;\n    &lt;div class=\"timeline-node\"&gt;&lt;/div&gt;\n    &lt;div class=\"timeline-date\"&gt;2024-01-01&lt;/div&gt;\n    &lt;div class=\"timeline-content\"&gt;\n      &lt;h3&gt;\u4e8b\u4ef6\u6807\u9898&lt;/h3&gt;\n      &lt;p&gt;\u4e8b\u4ef6\u63cf\u8ff0...&lt;/p&gt;\n    &lt;/div&gt;\n  &lt;/div&gt;\n\n  &lt;!-- \u66f4\u591a\u65f6\u95f4\u7ebf\u9879\u76ee --&gt;\n&lt;/div&gt;\n\n&lt;!-- \u53cb\u94fe\u793a\u4f8b --&gt;\n&lt;div class=\"friend-links-section\"&gt;\n  &lt;h2 class=\"friend-links-section__title\"&gt;\u6280\u672f\u535a\u5ba2&lt;/h2&gt;\n  &lt;p class=\"friend-links-section__desc\"&gt;\u4f18\u79c0\u7684\u6280\u672f\u535a\u5ba2\u6536\u85cf&lt;/p&gt;\n  &lt;div class=\"friend-links\"&gt;\n    &lt;a href=\"#\" class=\"friend-link\"&gt;\n      &lt;img src=\"avatar.jpg\" class=\"friend-link__avatar\"&gt;\n      &lt;div class=\"friend-link__info\"&gt;\n        &lt;div class=\"friend-link__name\"&gt;\u535a\u5ba2\u540d\u79f0&lt;/div&gt;\n        &lt;div class=\"friend-link__desc\"&gt;\u535a\u5ba2\u63cf\u8ff0&lt;/div&gt;\n        &lt;span class=\"friend-link__tag\"&gt;\u6807\u7b7e&lt;/span&gt;\n      &lt;/div&gt;\n    &lt;/a&gt;\n  &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;!-- \u63d0\u793a\u6846\u793a\u4f8b --&gt;\n&lt;div class=\"alert alert--info\"&gt;\n  \u8fd9\u662f\u4e00\u6761\u4fe1\u606f\u63d0\u793a\n&lt;/div&gt;\n\n&lt;div class=\"alert alert--warning\"&gt;\n  \u8fd9\u662f\u4e00\u6761\u8b66\u544a\u63d0\u793a\n&lt;/div&gt;\n\n&lt;div class=\"alert alert--error\"&gt;\n  \u8fd9\u662f\u4e00\u6761\u9519\u8bef\u63d0\u793a\n&lt;/div&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#535","title":"5.3.5 \u5b8c\u6574\u914d\u7f6e","text":"YAML<pre><code># mkdocs.yml\nextra_css:\n  - stylesheets/components/cards.css\n  - stylesheets/components/alerts.css\n  - stylesheets/components/friends.css\n  - stylesheets/components/timeline.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6-javascript","title":"6 JavaScript \u589e\u5f3a","text":""},{"location":"Technology/mkdocs%20material/#61","title":"6.1 \u57fa\u7840\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#611-js","title":"6.1.1 \u5f15\u5165 JS \u6587\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#6111","title":"6.1.1.1 \u672c\u5730\u6587\u4ef6","text":"<ol> <li>\u521b\u5efa\u57fa\u7840\u76ee\u5f55\u7ed3\u6784\uff1a</li> </ol> Text Only<pre><code>docs/\n\u251c\u2500\u2500 javascripts/\n\u2502   \u251c\u2500\u2500 config/             # \u914d\u7f6e\u6587\u4ef6\n\u2502   \u2502   \u2514\u2500\u2500 main.js\n\u2502   \u251c\u2500\u2500 modules/            # \u529f\u80fd\u6a21\u5757\n\u2502   \u2502   \u251c\u2500\u2500 search.js\n\u2502   \u2502   \u2514\u2500\u2500 theme.js\n\u2502   \u251c\u2500\u2500 utils/             # \u5de5\u5177\u51fd\u6570\n\u2502   \u2502   \u2514\u2500\u2500 helpers.js\n\u2502   \u2514\u2500\u2500 extra.js           # \u4e3b\u5165\u53e3\u6587\u4ef6\n</code></pre> <ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u5f15\u5165\uff1a</li> </ol> YAML<pre><code>extra_javascript:\n  - javascripts/extra.js\n  - javascripts/modules/search.js\n  - javascripts/modules/theme.js\n</code></pre> <ol> <li>JavaScript \u6587\u4ef6\u793a\u4f8b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/extra.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u521d\u59cb\u5316\u4ee3\u7801\n    console.log('Documentation loaded');\n});\n\n// docs/javascripts/modules/theme.js\nconst ThemeManager = {\n    init() {\n        // \u4e3b\u9898\u521d\u59cb\u5316\n    },\n    toggle() {\n        // \u4e3b\u9898\u5207\u6362\n    }\n};\n\n// docs/javascripts/utils/helpers.js\nconst Helpers = {\n    debounce(fn, delay) {\n        let timer = null;\n        return function() {\n            clearTimeout(timer);\n            timer = setTimeout(() =&gt; fn.apply(this, arguments), delay);\n        };\n    }\n};\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6112-cdn","title":"6.1.1.2 CDN \u5f15\u5165","text":"<ol> <li>\u5e38\u7528 CDN \u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra_javascript:\n  # KaTeX \u6570\u5b66\u516c\u5f0f\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n\n  # Mermaid \u56fe\u8868\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n\n  # \u4ee3\u7801\u9ad8\u4eae\n  - https://cdnjs.cloudflare.com/ajax/libs/prism/1.29.0/prism.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/prism/1.29.0/components/prism-python.min.js\n</code></pre> <ol> <li>CDN \u52a0\u901f\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  cdn:\n    # \u4f7f\u7528\u56fd\u5185 CDN\n    enable: true\n    provider: jsdelivr  # \u6216 unpkg, cdnjs\n    urls:\n      katex: https://cdn.jsdelivr.net/npm/katex@0.16.7/dist/katex.min.js\n      mermaid: https://cdn.jsdelivr.net/npm/mermaid@9/dist/mermaid.min.js\n</code></pre> <ol> <li>CDN \u6545\u969c\u5904\u7406\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/config/cdn-fallback.js\nfunction loadFallbackScript(url, fallbackUrl) {\n    const script = document.createElement('script');\n    script.src = url;\n    script.onerror = () =&gt; {\n        console.warn(`Failed to load ${url}, trying fallback...`);\n        const fallback = document.createElement('script');\n        fallback.src = fallbackUrl;\n        document.head.appendChild(fallback);\n    };\n    document.head.appendChild(script);\n}\n\n// \u4f7f\u7528\u793a\u4f8b\nloadFallbackScript(\n    'https://cdn.jsdelivr.net/npm/katex@0.16.7/dist/katex.min.js',\n    'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js'\n);\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6113","title":"6.1.1.3 \u6a21\u5757\u5316\u7ba1\u7406","text":"<ol> <li>\u4f7f\u7528 ES6 \u6a21\u5757\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/modules/theme.js\nexport class ThemeManager {\n    constructor() {\n        this.darkMode = false;\n    }\n\n    init() {\n        this.loadPreference();\n        this.bindEvents();\n    }\n\n    toggle() {\n        this.darkMode = !this.darkMode;\n        this.savePreference();\n        this.applyTheme();\n    }\n}\n\n// docs/javascripts/modules/search.js\nexport class SearchManager {\n    constructor() {\n        this.index = null;\n    }\n\n    init() {\n        this.buildIndex();\n        this.bindSearchEvents();\n    }\n\n    search(query) {\n        // \u641c\u7d22\u5b9e\u73b0\n    }\n}\n\n// docs/javascripts/extra.js\nimport { ThemeManager } from './modules/theme.js';\nimport { SearchManager } from './modules/search.js';\n\nconst theme = new ThemeManager();\nconst search = new SearchManager();\n\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    theme.init();\n    search.init();\n});\n</code></pre> <ol> <li>\u6a21\u5757\u914d\u7f6e\u6587\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/config/modules.js\nexport const ModuleConfig = {\n    theme: {\n        enabled: true,\n        darkModeClass: 'dark-mode',\n        storageKey: 'theme-preference'\n    },\n    search: {\n        enabled: true,\n        minChars: 3,\n        maxResults: 10\n    }\n};\n\n// \u4f7f\u7528\u914d\u7f6e\nimport { ModuleConfig } from '../config/modules.js';\n\nclass ThemeManager {\n    constructor() {\n        this.config = ModuleConfig.theme;\n        if (!this.config.enabled) return;\n        // \u521d\u59cb\u5316\u4ee3\u7801\n    }\n}\n</code></pre> <ol> <li>\u5de5\u5177\u51fd\u6570\u6a21\u5757\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/utils/helpers.js\nexport const DOM = {\n    // DOM \u64cd\u4f5c\u8f85\u52a9\u51fd\u6570\n    select: (selector) =&gt; document.querySelector(selector),\n    selectAll: (selector) =&gt; document.querySelectorAll(selector),\n    addClass: (element, className) =&gt; element.classList.add(className),\n    removeClass: (element, className) =&gt; element.classList.remove(className)\n};\n\nexport const Storage = {\n    // \u672c\u5730\u5b58\u50a8\u8f85\u52a9\u51fd\u6570\n    get: (key) =&gt; localStorage.getItem(key),\n    set: (key, value) =&gt; localStorage.setItem(key, value),\n    remove: (key) =&gt; localStorage.removeItem(key)\n};\n\nexport const Events = {\n    // \u4e8b\u4ef6\u5904\u7406\u8f85\u52a9\u51fd\u6570\n    on: (element, event, handler) =&gt; element.addEventListener(event, handler),\n    off: (element, event, handler) =&gt; element.removeEventListener(event, handler),\n    trigger: (element, event) =&gt; element.dispatchEvent(new Event(event))\n};\n</code></pre> <ol> <li>\u5b8c\u6574\u914d\u7f6e\u793a\u4f8b\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra_javascript:\n  # \u6838\u5fc3\u6587\u4ef6\n  - javascripts/extra.js\n  - javascripts/config/modules.js\n\n  # \u529f\u80fd\u6a21\u5757\n  - javascripts/modules/theme.js\n  - javascripts/modules/search.js\n\n  # \u5de5\u5177\u51fd\u6570\n  - javascripts/utils/helpers.js\n\n  # \u7b2c\u4e09\u65b9\u5e93\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n\n# \u6a21\u5757\u914d\u7f6e\nextra:\n  javascript_modules:\n    theme:\n      enabled: true\n      default: light\n    search:\n      enabled: true\n      min_chars: 3\n</code></pre>"},{"location":"Technology/mkdocs%20material/#62","title":"6.2 \u7b2c\u4e09\u65b9\u5e93\u96c6\u6210","text":""},{"location":"Technology/mkdocs%20material/#621-katex","title":"6.2.1 KaTeX \u6570\u5b66\u516c\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#6211","title":"6.2.1.1 \u57fa\u7840\u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n\nextra_javascript:\n  - javascripts/katex.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n\nextra_css:\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css\n</code></pre> <ol> <li>\u521b\u5efa KaTeX \u914d\u7f6e\u6587\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/katex.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    renderMathInElement(document.body, {\n        delimiters: [\n            {left: \"$$\", right: \"$$\", display: true},\n            {left: \"$\", right: \"$\", display: false},\n            {left: \"\\\\(\", right: \"\\\\)\", display: false},\n            {left: \"\\\\[\", right: \"\\\\]\", display: true}\n        ],\n        throwOnError: false,\n        errorColor: \"#cc0000\",\n        strict: \"ignore\"\n    });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6212","title":"6.2.1.2 \u81ea\u52a8\u6e32\u67d3","text":"<ol> <li>\u914d\u7f6e\u81ea\u52a8\u6e32\u67d3\u9009\u9879\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/katex-auto.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    renderMathInElement(document.body, {\n        delimiters: [\n            {left: \"$$\", right: \"$$\", display: true},\n            {left: \"$\", right: \"$\", display: false}\n        ],\n        // \u81ea\u52a8\u6e32\u67d3\u8bbe\u7f6e\n        ignoredTags: [\"script\", \"noscript\", \"style\", \"textarea\", \"pre\", \"code\"],\n        ignoredClasses: [\"no-math\"],\n        processEscapes: true,\n        processEnvironments: true,\n        // \u5904\u7406\u81ea\u5b9a\u4e49\u5b8f\n        macros: {\n            \"\\\\RR\": \"\\\\mathbb{R}\",\n            \"\\\\NN\": \"\\\\mathbb{N}\",\n            \"\\\\ZZ\": \"\\\\mathbb{Z}\"\n        }\n    });\n});\n</code></pre> <ol> <li>\u4f7f\u7528\u793a\u4f8b\uff1a</li> </ol> Markdown<pre><code>\u884c\u5185\u516c\u5f0f\uff1a$E = mc^2$\n\n\u5757\u7ea7\u516c\u5f0f\uff1a\n$$\n\\frac{n!}{k!(n-k)!} = \\binom{n}{k}\n$$\n\n\u81ea\u5b9a\u4e49\u5b8f\uff1a$\\RR$ \u8868\u793a\u5b9e\u6570\u96c6\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6213","title":"6.2.1.3 \u516c\u5f0f\u7f16\u53f7","text":"<ol> <li>\u542f\u7528\u516c\u5f0f\u7f16\u53f7\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/katex-numbering.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    // \u516c\u5f0f\u7f16\u53f7\u8ba1\u6570\u5668\n    let equationNumbers = {};\n    let numberings = {};\n\n    renderMathInElement(document.body, {\n        delimiters: [\n            {left: \"$$\", right: \"$$\", display: true}\n        ],\n        // \u516c\u5f0f\u7f16\u53f7\u5904\u7406\n        preProcess: (math) =&gt; {\n            if (math.includes('\\\\label')) {\n                const label = math.match(/\\\\label{([^}]*)}/)[1];\n                const number = Object.keys(numberings).length + 1;\n                numberings[label] = number;\n                return math.replace(/\\\\label{[^}]*}/, `(${number})`);\n            }\n            return math;\n        }\n    });\n});\n</code></pre> <ol> <li>\u4f7f\u7528\u7f16\u53f7\u548c\u5f15\u7528\uff1a</li> </ol> Markdown<pre><code>\u5e26\u7f16\u53f7\u7684\u516c\u5f0f\uff1a\n$$\nE = mc^2 \\label{eq:einstein}\n$$\n\n\u5f15\u7528\u4e0a\u9762\u7684\u516c\u5f0f $\\eqref{eq:einstein}$\n</code></pre>"},{"location":"Technology/mkdocs%20material/#622-mermaid","title":"6.2.2 Mermaid \u56fe\u8868","text":""},{"location":"Technology/mkdocs%20material/#6221","title":"6.2.2.1 \u521d\u59cb\u5316\u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\nextra_javascript:\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n  - javascripts/mermaid.js\n</code></pre> <ol> <li>\u521b\u5efa Mermaid \u914d\u7f6e\u6587\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/mermaid.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    mermaid.initialize({\n        startOnLoad: true,\n        theme: 'default',\n        sequence: {\n            showSequenceNumbers: true,\n            actorMargin: 50,\n            messageMargin: 40\n        },\n        flowchart: {\n            useMaxWidth: false,\n            htmlLabels: true,\n            curve: 'basis'\n        },\n        gantt: {\n            titleTopMargin: 25,\n            barHeight: 20,\n            barGap: 4\n        }\n    });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6222","title":"6.2.2.2 \u4e3b\u9898\u5b9a\u5236","text":"<ol> <li>\u81ea\u5b9a\u4e49\u4e3b\u9898\u914d\u7f6e\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/mermaid-theme.js\nmermaid.initialize({\n    theme: 'base',\n    themeVariables: {\n        // \u57fa\u7840\u989c\u8272\n        primaryColor: '#2196f3',\n        primaryTextColor: '#fff',\n        primaryBorderColor: '#1976d2',\n        lineColor: '#696969',\n\n        // \u6d41\u7a0b\u56fe\u989c\u8272\n        nodeBkg: '#fff',\n        mainBkg: '#f8f9fa',\n        nodeTextColor: '#333',\n\n        // \u65f6\u5e8f\u56fe\u989c\u8272\n        actorBkg: '#f8f9fa',\n        actorBorder: '#2196f3',\n        actorTextColor: '#333',\n\n        // \u7518\u7279\u56fe\u989c\u8272\n        sectionBkgColor: '#f8f9fa',\n        altSectionBkgColor: '#fff',\n\n        // \u6697\u8272\u4e3b\u9898\u652f\u6301\n        darkMode: false\n    }\n});\n</code></pre> <ol> <li>\u54cd\u5e94\u4e3b\u9898\u5207\u6362\uff1a</li> </ol> JavaScript<pre><code>// \u76d1\u542c\u4e3b\u9898\u5207\u6362\ndocument.addEventListener('themeChanged', function(e) {\n    const isDark = e.detail.theme === 'dark';\n    mermaid.initialize({\n        theme: isDark ? 'dark' : 'default',\n        themeVariables: {\n            darkMode: isDark\n        }\n    });\n    // \u91cd\u65b0\u6e32\u67d3\u56fe\u8868\n    mermaid.init(undefined, '.mermaid');\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6223","title":"6.2.2.3 \u4ea4\u4e92\u529f\u80fd","text":"<ol> <li>\u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/mermaid-interaction.js\nmermaid.initialize({\n    securityLevel: 'loose',\n    flowchart: {\n        htmlLabels: true,\n        useMaxWidth: true\n    }\n});\n\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    // \u4e3a\u56fe\u8868\u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\n    const diagrams = document.querySelectorAll('.mermaid');\n    diagrams.forEach(diagram =&gt; {\n        diagram.addEventListener('click', function(e) {\n            const target = e.target;\n            if (target.tagName === 'g' &amp;&amp; target.classList.contains('node')) {\n                const nodeId = target.id;\n                console.log('Clicked node:', nodeId);\n                // \u5904\u7406\u8282\u70b9\u70b9\u51fb\n                handleNodeClick(nodeId);\n            }\n        });\n    });\n});\n\nfunction handleNodeClick(nodeId) {\n    // \u8282\u70b9\u70b9\u51fb\u5904\u7406\n    const node = document.getElementById(nodeId);\n    if (node) {\n        // \u6dfb\u52a0\u9ad8\u4eae\u6548\u679c\n        node.classList.add('node-highlight');\n        setTimeout(() =&gt; {\n            node.classList.remove('node-highlight');\n        }, 1000);\n    }\n}\n</code></pre> <ol> <li>\u6dfb\u52a0\u56fe\u8868\u52a8\u753b\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/mermaid.css */\n.mermaid .node-highlight {\n    animation: pulse 1s;\n}\n\n@keyframes pulse {\n    0% { opacity: 1; }\n    50% { opacity: 0.5; }\n    100% { opacity: 1; }\n}\n\n.mermaid .flowchart-link {\n    transition: stroke-width 0.3s ease;\n}\n\n.mermaid .flowchart-link:hover {\n    stroke-width: 2px;\n    cursor: pointer;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6224","title":"6.2.2.4 \u4f7f\u7528\u793a\u4f8b","text":"<ol> <li>\u6d41\u7a0b\u56fe\u793a\u4f8b\uff1a</li> </ol> Markdown<pre><code>```mermaid\ngraph TD\n    A[\u5f00\u59cb] --&gt; B{\u5224\u65ad}\n    B --&gt;|Yes| C[\u5904\u7406]\n    B --&gt;|No| D[\u7ed3\u675f]\n    C --&gt; D\n```\n</code></pre> <ol> <li>\u65f6\u5e8f\u56fe\u793a\u4f8b\uff1a</li> </ol> Markdown<pre><code>```mermaid\nsequenceDiagram\n    participant \u5ba2\u6237\u7aef\n    participant \u670d\u52a1\u5668\n\n    \u5ba2\u6237\u7aef-&gt;&gt;\u670d\u52a1\u5668: \u8bf7\u6c42\u6570\u636e\n    \u670d\u52a1\u5668--&gt;&gt;\u5ba2\u6237\u7aef: \u8fd4\u56de\u54cd\u5e94\n```\n</code></pre>"},{"location":"Technology/mkdocs%20material/#623","title":"6.2.3 \u4ee3\u7801\u590d\u5236","text":""},{"location":"Technology/mkdocs%20material/#6231","title":"6.2.3.1 \u590d\u5236\u6309\u94ae","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>theme:\n  features:\n    - content.code.copy\n\nextra_css:\n  - stylesheets/code-copy.css\nextra_javascript:\n  - javascripts/code-copy.js\n</code></pre> <ol> <li>\u521b\u5efa\u590d\u5236\u6309\u94ae\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/code-copy.css */\n\n/* \u590d\u5236\u6309\u94ae\u5bb9\u5668 */\n.copy-button {\n  position: absolute;\n  right: 0.5rem;\n  top: 0.5rem;\n  padding: 0.4rem;\n  background-color: rgba(0, 0, 0, 0.1);\n  border: none;\n  border-radius: 4px;\n  cursor: pointer;\n  transition: all 0.2s ease;\n}\n\n/* \u6309\u94ae\u60ac\u505c\u6548\u679c */\n.copy-button:hover {\n  background-color: rgba(0, 0, 0, 0.2);\n}\n\n/* \u56fe\u6807\u6837\u5f0f */\n.copy-button i {\n  font-size: 1rem;\n  color: var(--md-default-fg-color--light);\n}\n\n/* \u6210\u529f\u72b6\u6001 */\n.copy-button.success {\n  background-color: var(--md-accent-fg-color);\n}\n\n.copy-button.success i {\n  color: white;\n}\n</code></pre> <ol> <li>\u5b9e\u73b0\u590d\u5236\u529f\u80fd\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/code-copy.js\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  // \u4e3a\u6240\u6709\u4ee3\u7801\u5757\u6dfb\u52a0\u590d\u5236\u6309\u94ae\n  const codeBlocks = document.querySelectorAll('pre code');\n\n  codeBlocks.forEach((codeBlock) =&gt; {\n    const container = codeBlock.parentNode;\n    const copyButton = document.createElement('button');\n    copyButton.className = 'copy-button';\n    copyButton.innerHTML = '&lt;i class=\"material-icons\"&gt;content_copy&lt;/i&gt;';\n    container.style.position = 'relative';\n    container.appendChild(copyButton);\n\n    // \u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\n    copyButton.addEventListener('click', async () =&gt; {\n      try {\n        await navigator.clipboard.writeText(codeBlock.textContent);\n        showSuccess(copyButton);\n      } catch (err) {\n        showError(copyButton);\n      }\n    });\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6232","title":"6.2.3.2 \u63d0\u793a\u6d88\u606f","text":"<ol> <li>\u521b\u5efa\u63d0\u793a\u6d88\u606f\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* \u63d0\u793a\u6d88\u606f\u6837\u5f0f */\n.copy-tooltip {\n  position: absolute;\n  top: -2rem;\n  right: 0;\n  padding: 0.4rem 0.8rem;\n  background-color: var(--md-default-fg-color);\n  color: var(--md-default-bg-color);\n  border-radius: 4px;\n  font-size: 0.8rem;\n  opacity: 0;\n  transform: translateY(0.4rem);\n  transition: all 0.2s ease;\n}\n\n.copy-tooltip.show {\n  opacity: 1;\n  transform: translateY(0);\n}\n</code></pre> <ol> <li>\u5b9e\u73b0\u63d0\u793a\u529f\u80fd\uff1a</li> </ol> JavaScript<pre><code>// \u663e\u793a\u63d0\u793a\u6d88\u606f\nfunction showTooltip(button, message, type = 'success') {\n  const tooltip = document.createElement('div');\n  tooltip.className = `copy-tooltip ${type}`;\n  tooltip.textContent = message;\n  button.appendChild(tooltip);\n\n  // \u6dfb\u52a0\u663e\u793a\u7c7b\n  setTimeout(() =&gt; tooltip.classList.add('show'), 10);\n\n  // \u81ea\u52a8\u79fb\u9664\n  setTimeout(() =&gt; {\n    tooltip.classList.remove('show');\n    setTimeout(() =&gt; tooltip.remove(), 200);\n  }, 2000);\n}\n\n// \u6210\u529f\u63d0\u793a\nfunction showSuccess(button) {\n  button.classList.add('success');\n  showTooltip(button, '\u590d\u5236\u6210\u529f\uff01');\n  setTimeout(() =&gt; button.classList.remove('success'), 2000);\n}\n\n// \u9519\u8bef\u63d0\u793a\nfunction showError(button) {\n  button.classList.add('error');\n  showTooltip(button, '\u590d\u5236\u5931\u8d25\uff01', 'error');\n  setTimeout(() =&gt; button.classList.remove('error'), 2000);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6233","title":"6.2.3.3 \u590d\u5236\u56de\u8c03","text":"JavaScript<pre><code>// \u5b9a\u4e49\u590d\u5236\u4e8b\u4ef6\u5904\u7406\u5668\nconst copyHandlers = {\n  // \u590d\u5236\u524d\u5904\u7406\n  beforeCopy: (code) =&gt; {\n    // \u53ef\u4ee5\u5728\u8fd9\u91cc\u5bf9\u4ee3\u7801\u8fdb\u884c\u9884\u5904\u7406\n    return code.trim();\n  },\n\n  // \u590d\u5236\u6210\u529f\u56de\u8c03\n  onSuccess: (button, code) =&gt; {\n    console.log('Copied:', code.length, 'characters');\n    showSuccess(button);\n\n    // \u89e6\u53d1\u81ea\u5b9a\u4e49\u4e8b\u4ef6\n    const event = new CustomEvent('codeCopied', {\n      detail: { code }\n    });\n    document.dispatchEvent(event);\n  },\n\n  // \u590d\u5236\u5931\u8d25\u56de\u8c03\n  onError: (button, error) =&gt; {\n    console.error('Copy failed:', error);\n    showError(button);\n  }\n};\n\n// \u4f7f\u7528\u56de\u8c03\nasync function copyCode(button, code) {\n  try {\n    const processedCode = copyHandlers.beforeCopy(code);\n    await navigator.clipboard.writeText(processedCode);\n    copyHandlers.onSuccess(button, processedCode);\n  } catch (err) {\n    copyHandlers.onError(button, err);\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#624","title":"6.2.4 \u56fe\u7247\u9884\u89c8","text":""},{"location":"Technology/mkdocs%20material/#6241-lightbox","title":"6.2.4.1 lightbox \u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>markdown_extensions:\n  - attr_list\n  - md_in_html\n\nplugins:\n  - glightbox\n\nextra_css:\n  - stylesheets/glightbox.css\nextra_javascript:\n  - javascripts/glightbox.js\n</code></pre> <ol> <li>\u914d\u7f6e GLightbox\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/glightbox.js\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  const lightbox = GLightbox({\n    selector: '.glightbox',\n    touchNavigation: true,\n    loop: false,\n    autoplayVideos: true,\n    preload: true,\n    // \u57fa\u672c\u8bbe\u7f6e\n    height: 'auto',\n    zoomable: true,\n    draggable: true,\n    // \u52a8\u753b\u8bbe\u7f6e\n    openEffect: 'zoom',\n    closeEffect: 'fade',\n    cssEfects: {\n      fade: { in: 'fadeIn', out: 'fadeOut' },\n      zoom: { in: 'zoomIn', out: 'zoomOut' }\n    }\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6242","title":"6.2.4.2 \u7f29\u653e\u529f\u80fd","text":"JavaScript<pre><code>// \u7f29\u653e\u529f\u80fd\u914d\u7f6e\nconst zoomConfig = {\n  // \u7f29\u653e\u9009\u9879\n  zoomable: true,\n  dragToZoom: true,\n  touchToZoom: true,\n\n  // \u7f29\u653e\u7ea7\u522b\n  minZoom: 0.5,\n  maxZoom: 3,\n  zoomStep: 0.5,\n\n  // \u53cc\u51fb\u7f29\u653e\n  doubleTapZoom: 2,\n\n  // \u7f29\u653e\u52a8\u753b\n  zoomAnimation: true,\n  zoomDuration: 300,\n\n  // \u7f29\u653e\u63a7\u5236\u5668\n  controls: {\n    zoom: true,\n    zoomIn: true,\n    zoomOut: true,\n    rotate: true\n  }\n};\n\n// \u5e94\u7528\u7f29\u653e\u914d\u7f6e\nconst lightbox = GLightbox({\n  ...zoomConfig,\n\n  // \u7f29\u653e\u4e8b\u4ef6\u5904\u7406\n  onZoom: (slider) =&gt; {\n    const { zoom, image } = slider;\n    console.log(`Current zoom level: ${zoom}`);\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6243","title":"6.2.4.3 \u624b\u52bf\u652f\u6301","text":"JavaScript<pre><code>// \u624b\u52bf\u914d\u7f6e\nconst gestureConfig = {\n  // \u89e6\u6478\u5bfc\u822a\n  touchNavigation: true,\n  touchFollowAxis: true,\n\n  // \u62d6\u52a8\u8bbe\u7f6e\n  draggable: true,\n  dragToleranceX: 40,\n  dragToleranceY: 65,\n\n  // \u624b\u52bf\u4e8b\u4ef6\n  gestures: {\n    // \u634f\u5408\u7f29\u653e\n    pinchToZoom: true,\n    pinchThreshold: 50,\n\n    // \u53cc\u6307\u65cb\u8f6c\n    rotateToZoom: true,\n    rotateThreshold: 15,\n\n    // \u6ed1\u52a8\u5207\u6362\n    swipeThreshold: 50,\n    swipeToClose: true\n  }\n};\n\n// \u624b\u52bf\u4e8b\u4ef6\u5904\u7406\nconst gestureHandlers = {\n  // \u89e6\u6478\u5f00\u59cb\n  onTouchStart: (e) =&gt; {\n    const touch = e.touches[0];\n    startX = touch.clientX;\n    startY = touch.clientY;\n  },\n\n  // \u89e6\u6478\u79fb\u52a8\n  onTouchMove: (e) =&gt; {\n    if (!isDragging) return;\n    const touch = e.touches[0];\n    const deltaX = touch.clientX - startX;\n    const deltaY = touch.clientY - startY;\n\n    // \u5904\u7406\u79fb\u52a8\n    handleImageMove(deltaX, deltaY);\n  },\n\n  // \u89e6\u6478\u7ed3\u675f\n  onTouchEnd: (e) =&gt; {\n    isDragging = false;\n    // \u5904\u7406\u60ef\u6027\u6ed1\u52a8\n    handleMomentum();\n  }\n};\n\n// \u521b\u5efa\u589e\u5f3a\u7684\u56fe\u7247\u9884\u89c8\nconst enhancedLightbox = GLightbox({\n  ...zoomConfig,\n  ...gestureConfig,\n\n  // \u4e8b\u4ef6\u76d1\u542c\n  listeners: {\n    touchstart: gestureHandlers.onTouchStart,\n    touchmove: gestureHandlers.onTouchMove,\n    touchend: gestureHandlers.onTouchEnd\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6244","title":"6.2.4.4 \u5b8c\u6574\u793a\u4f8b","text":"JavaScript<pre><code>// docs/javascripts/image-preview.js\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  // \u521d\u59cb\u5316\u914d\u7f6e\n  const config = {\n    // \u57fa\u7840\u8bbe\u7f6e\n    selector: '.glightbox',\n    touchNavigation: true,\n    loop: false,\n\n    // \u7f29\u653e\u8bbe\u7f6e\n    zoomable: true,\n    draggable: true,\n    dragToleranceX: 40,\n    dragToleranceY: 65,\n\n    // \u52a8\u753b\u8bbe\u7f6e\n    openEffect: 'zoom',\n    closeEffect: 'fade',\n\n    // \u624b\u52bf\u8bbe\u7f6e\n    touchFollowAxis: true,\n\n    // \u754c\u9762\u8bbe\u7f6e\n    preload: true,\n    height: 'auto',\n\n    // \u4e8b\u4ef6\u5904\u7406\n    onOpen: () =&gt; {\n      console.log('Lightbox opened');\n    },\n    onClose: () =&gt; {\n      console.log('Lightbox closed');\n    },\n    onZoom: (slider) =&gt; {\n      console.log('Image zoomed');\n    }\n  };\n\n  // \u521d\u59cb\u5316 GLightbox\n  const lightbox = GLightbox(config);\n\n  // \u6dfb\u52a0\u952e\u76d8\u652f\u6301\n  document.addEventListener('keydown', (e) =&gt; {\n    if (!lightbox.isOpen) return;\n\n    switch(e.key) {\n      case 'ArrowLeft':\n        lightbox.prev();\n        break;\n      case 'ArrowRight':\n        lightbox.next();\n        break;\n      case 'Escape':\n        lightbox.close();\n        break;\n    }\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#63","title":"6.3 \u81ea\u5b9a\u4e49\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#631","title":"6.3.1 \u9875\u9762\u4ea4\u4e92","text":""},{"location":"Technology/mkdocs%20material/#6311","title":"6.3.1.1 \u6eda\u52a8\u4e8b\u4ef6","text":"<ol> <li>\u57fa\u7840\u6eda\u52a8\u76d1\u542c\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/scroll.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u6eda\u52a8\u5904\u7406\u51fd\u6570\n    function handleScroll() {\n        const scrollTop = window.scrollY;\n        const windowHeight = window.innerHeight;\n        const docHeight = document.documentElement.scrollHeight;\n\n        // \u6eda\u52a8\u8fdb\u5ea6\n        const scrollPercent = (scrollTop / (docHeight - windowHeight)) * 100;\n\n        // \u66f4\u65b0\u8fdb\u5ea6\u6761\n        updateProgress(scrollPercent);\n\n        // \u5904\u7406\u5143\u7d20\u53ef\u89c1\u6027\n        handleVisibility();\n    }\n\n    // \u4f7f\u7528\u8282\u6d41\u4f18\u5316\u6eda\u52a8\u4e8b\u4ef6\n    const throttledScroll = throttle(handleScroll, 100);\n    window.addEventListener('scroll', throttledScroll);\n});\n\n// \u8282\u6d41\u51fd\u6570\nfunction throttle(fn, delay) {\n    let lastCall = 0;\n    return function(...args) {\n        const now = Date.now();\n        if (now - lastCall &gt;= delay) {\n            lastCall = now;\n            fn.apply(this, args);\n        }\n    };\n}\n</code></pre> <ol> <li>\u5143\u7d20\u53ef\u89c1\u6027\u68c0\u6d4b\uff1a</li> </ol> JavaScript<pre><code>// \u68c0\u6d4b\u5143\u7d20\u662f\u5426\u8fdb\u5165\u89c6\u53e3\nfunction handleVisibility() {\n    const elements = document.querySelectorAll('.animate-on-scroll');\n\n    elements.forEach(element =&gt; {\n        const rect = element.getBoundingClientRect();\n        const isVisible = (\n            rect.top &gt;= 0 &amp;&amp;\n            rect.left &gt;= 0 &amp;&amp;\n            rect.bottom &lt;= window.innerHeight &amp;&amp;\n            rect.right &lt;= window.innerWidth\n        );\n\n        if (isVisible) {\n            element.classList.add('is-visible');\n        }\n    });\n}\n\n// CSS \u6837\u5f0f\n.animate-on-scroll {\n    opacity: 0;\n    transform: translateY(20px);\n    transition: all 0.6s ease;\n}\n\n.animate-on-scroll.is-visible {\n    opacity: 1;\n    transform: translateY(0);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6312","title":"6.3.1.2 \u70b9\u51fb\u4e8b\u4ef6","text":"<ol> <li>\u70b9\u51fb\u5904\u7406\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/click.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u4ee3\u7801\u5757\u70b9\u51fb\u590d\u5236\n    setupCodeCopy();\n\n    // \u56fe\u7247\u70b9\u51fb\u653e\u5927\n    setupImageZoom();\n\n    // \u76ee\u5f55\u70b9\u51fb\u6eda\u52a8\n    setupTocScroll();\n});\n\n// \u4ee3\u7801\u590d\u5236\u529f\u80fd\nfunction setupCodeCopy() {\n    const codeBlocks = document.querySelectorAll('pre code');\n\n    codeBlocks.forEach(block =&gt; {\n        block.addEventListener('click', async function(e) {\n            if (e.target.classList.contains('copy-button')) {\n                try {\n                    await navigator.clipboard.writeText(block.textContent);\n                    showToast('\u590d\u5236\u6210\u529f\uff01');\n                } catch (err) {\n                    showToast('\u590d\u5236\u5931\u8d25', 'error');\n                }\n            }\n        });\n    });\n}\n\n// \u56fe\u7247\u7f29\u653e\u529f\u80fd\nfunction setupImageZoom() {\n    const images = document.querySelectorAll('.md-content img');\n\n    images.forEach(img =&gt; {\n        img.addEventListener('click', function() {\n            const overlay = document.createElement('div');\n            overlay.className = 'image-overlay';\n            overlay.innerHTML = `\n                &lt;img src=\"${img.src}\" alt=\"${img.alt}\"&gt;\n                &lt;button class=\"close-button\"&gt;\u00d7&lt;/button&gt;\n            `;\n\n            document.body.appendChild(overlay);\n\n            overlay.querySelector('.close-button').addEventListener('click', () =&gt; {\n                overlay.remove();\n            });\n        });\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6313","title":"6.3.1.3 \u952e\u76d8\u4e8b\u4ef6","text":"JavaScript<pre><code>// docs/javascripts/keyboard.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u952e\u76d8\u5bfc\u822a\n    setupKeyboardNav();\n\n    // \u641c\u7d22\u5feb\u6377\u952e\n    setupSearchShortcut();\n});\n\n// \u952e\u76d8\u5bfc\u822a\nfunction setupKeyboardNav() {\n    document.addEventListener('keydown', function(e) {\n        // ALT + \u65b9\u5411\u952e\u5bfc\u822a\n        if (e.altKey) {\n            switch(e.key) {\n                case 'ArrowLeft':  // \u4e0a\u4e00\u9875\n                    navigatePage('prev');\n                    break;\n                case 'ArrowRight':  // \u4e0b\u4e00\u9875\n                    navigatePage('next');\n                    break;\n                case 'ArrowUp':    // \u56de\u5230\u9876\u90e8\n                    window.scrollTo({top: 0, behavior: 'smooth'});\n                    break;\n                case 'ArrowDown':  // \u5230\u8fbe\u5e95\u90e8\n                    window.scrollTo({\n                        top: document.documentElement.scrollHeight,\n                        behavior: 'smooth'\n                    });\n                    break;\n            }\n        }\n    });\n}\n\n// \u641c\u7d22\u5feb\u6377\u952e\nfunction setupSearchShortcut() {\n    document.addEventListener('keydown', function(e) {\n        // \u6309\u4e0b '/' \u952e\u89e6\u53d1\u641c\u7d22\n        if (e.key === '/' &amp;&amp; !e.ctrlKey &amp;&amp; !e.altKey &amp;&amp; !e.metaKey) {\n            e.preventDefault();\n            const searchInput = document.querySelector('.md-search__input');\n            if (searchInput) {\n                searchInput.focus();\n            }\n        }\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#632","title":"6.3.2 \u52a8\u753b\u6548\u679c","text":""},{"location":"Technology/mkdocs%20material/#6321","title":"6.3.2.1 \u8fc7\u6e21\u52a8\u753b","text":"<ol> <li>\u57fa\u7840\u8fc7\u6e21\u6548\u679c\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/transitions.css */\n\n/* \u9875\u9762\u5207\u6362\u8fc7\u6e21 */\n.md-content {\n    animation: fadeIn 0.3s ease-in-out;\n}\n\n@keyframes fadeIn {\n    from {\n        opacity: 0;\n        transform: translateY(20px);\n    }\n    to {\n        opacity: 1;\n        transform: translateY(0);\n    }\n}\n\n/* \u5bfc\u822a\u8fc7\u6e21 */\n.md-nav__link {\n    transition: color 0.2s ease, padding-left 0.2s ease;\n}\n\n.md-nav__link:hover {\n    padding-left: 0.5rem;\n    color: var(--md-accent-fg-color);\n}\n</code></pre> <ol> <li>\u9875\u9762\u5207\u6362\u52a8\u753b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/transitions.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u9875\u9762\u5207\u6362\u52a8\u753b\n    setupPageTransitions();\n});\n\nfunction setupPageTransitions() {\n    // \u76d1\u542c\u9875\u9762\u5207\u6362\u4e8b\u4ef6\n    document.addEventListener('DOMContentLoaded', function() {\n        document.body.classList.add('page-transition-ready');\n    });\n\n    // \u9875\u9762\u79bb\u5f00\u52a8\u753b\n    window.addEventListener('beforeunload', function() {\n        document.body.classList.add('page-transition-exit');\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6322","title":"6.3.2.2 \u52a0\u8f7d\u52a8\u753b","text":"<ol> <li>\u521b\u5efa\u52a0\u8f7d\u52a8\u753b\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/loading.css */\n\n/* \u52a0\u8f7d\u52a8\u753b\u5bb9\u5668 */\n.loading-overlay {\n    position: fixed;\n    top: 0;\n    left: 0;\n    right: 0;\n    bottom: 0;\n    background-color: var(--md-default-bg-color);\n    display: flex;\n    justify-content: center;\n    align-items: center;\n    z-index: 999;\n    opacity: 1;\n    transition: opacity 0.3s ease;\n}\n\n/* \u52a0\u8f7d\u52a8\u753b */\n.loading-spinner {\n    width: 40px;\n    height: 40px;\n    border: 3px solid var(--md-primary-fg-color--light);\n    border-top-color: var(--md-primary-fg-color);\n    border-radius: 50%;\n    animation: spin 1s linear infinite;\n}\n\n@keyframes spin {\n    to { transform: rotate(360deg); }\n}\n</code></pre> <ol> <li>\u5b9e\u73b0\u52a0\u8f7d\u903b\u8f91\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/loading.js\nclass LoadingManager {\n    constructor() {\n        this.overlay = null;\n        this.createLoadingOverlay();\n    }\n\n    createLoadingOverlay() {\n        this.overlay = document.createElement('div');\n        this.overlay.className = 'loading-overlay';\n        this.overlay.innerHTML = '&lt;div class=\"loading-spinner\"&gt;&lt;/div&gt;';\n        document.body.appendChild(this.overlay);\n    }\n\n    show() {\n        this.overlay.style.opacity = '1';\n        this.overlay.style.visibility = 'visible';\n    }\n\n    hide() {\n        this.overlay.style.opacity = '0';\n        setTimeout(() =&gt; {\n            this.overlay.style.visibility = 'hidden';\n        }, 300);\n    }\n}\n\n// \u4f7f\u7528\u52a0\u8f7d\u7ba1\u7406\u5668\nconst loading = new LoadingManager();\n\n// \u9875\u9762\u52a0\u8f7d\u5b8c\u6210\u540e\u9690\u85cf\nwindow.addEventListener('load', () =&gt; {\n    loading.hide();\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6323","title":"6.3.2.3 \u4ea4\u4e92\u52a8\u753b","text":"<ol> <li>\u5143\u7d20\u4ea4\u4e92\u52a8\u753b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/interactions.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u6309\u94ae\u6ce2\u7eb9\u6548\u679c\n    setupRippleEffect();\n\n    // \u5361\u7247\u60ac\u6d6e\u6548\u679c\n    setupCardHover();\n\n    // \u5217\u8868\u9879\u52a8\u753b\n    setupListAnimations();\n});\n\n// \u6ce2\u7eb9\u6548\u679c\nfunction setupRippleEffect() {\n    const buttons = document.querySelectorAll('.md-button');\n\n    buttons.forEach(button =&gt; {\n        button.addEventListener('click', function(e) {\n            const ripple = document.createElement('div');\n            ripple.className = 'ripple';\n\n            const rect = button.getBoundingClientRect();\n            const size = Math.max(rect.width, rect.height);\n\n            ripple.style.width = ripple.style.height = `${size}px`;\n            ripple.style.left = `${e.clientX - rect.left - size/2}px`;\n            ripple.style.top = `${e.clientY - rect.top - size/2}px`;\n\n            button.appendChild(ripple);\n\n            setTimeout(() =&gt; ripple.remove(), 600);\n        });\n    });\n}\n\n// \u5361\u7247\u60ac\u6d6e\u6548\u679c\nfunction setupCardHover() {\n    const cards = document.querySelectorAll('.md-card');\n\n    cards.forEach(card =&gt; {\n        card.addEventListener('mousemove', function(e) {\n            const rect = card.getBoundingClientRect();\n            const x = e.clientX - rect.left;\n            const y = e.clientY - rect.top;\n\n            const centerX = rect.width / 2;\n            const centerY = rect.height / 2;\n\n            const angleY = -(x - centerX) / 20;\n            const angleX = (y - centerY) / 20;\n\n            card.style.transform = \n                `perspective(1000px) rotateX(${angleX}deg) rotateY(${angleY}deg)`;\n        });\n\n        card.addEventListener('mouseleave', function() {\n            card.style.transform = 'perspective(1000px) rotateX(0) rotateY(0)';\n        });\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#633","title":"6.3.3 \u6570\u636e\u7edf\u8ba1","text":""},{"location":"Technology/mkdocs%20material/#6331","title":"6.3.3.1 \u8bbf\u95ee\u7edf\u8ba1","text":"<ol> <li>\u57fa\u7840\u8bbf\u95ee\u7edf\u8ba1\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/analytics.js\nclass Analytics {\n    constructor() {\n        this.storageKey = 'site_analytics';\n        this.data = this.loadData();\n    }\n\n    loadData() {\n        const stored = localStorage.getItem(this.storageKey);\n        return stored ? JSON.parse(stored) : {\n            pageViews: {},\n            totalVisits: 0,\n            firstVisit: Date.now(),\n            lastVisit: Date.now()\n        };\n    }\n\n    saveData() {\n        localStorage.setItem(this.storageKey, JSON.stringify(this.data));\n    }\n\n    recordPageView() {\n        const path = window.location.pathname;\n        this.data.pageViews[path] = (this.data.pageViews[path] || 0) + 1;\n        this.data.totalVisits++;\n        this.data.lastVisit = Date.now();\n        this.saveData();\n    }\n\n    getStats() {\n        return {\n            totalVisits: this.data.totalVisits,\n            uniquePages: Object.keys(this.data.pageViews).length,\n            mostViewed: this.getMostViewedPages(5)\n        };\n    }\n\n    getMostViewedPages(limit = 5) {\n        return Object.entries(this.data.pageViews)\n            .sort(([,a], [,b]) =&gt; b - a)\n            .slice(0, limit);\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6332","title":"6.3.3.2 \u9605\u8bfb\u65f6\u957f","text":"JavaScript<pre><code>// docs/javascripts/read-time.js\nclass ReadTimeTracker {\n    constructor() {\n        this.startTime = Date.now();\n        this.isReading = true;\n        this.totalTime = 0;\n        this.idleTimeout = null;\n        this.setupTracking();\n    }\n\n    setupTracking() {\n        // \u76d1\u542c\u7528\u6237\u6d3b\u52a8\n        ['mousemove', 'keydown', 'scroll', 'click'].forEach(event =&gt; {\n            document.addEventListener(event, () =&gt; this.handleActivity());\n        });\n\n        // \u9875\u9762\u5931\u7126\u6682\u505c\u8ba1\u65f6\n        document.addEventListener('visibilitychange', () =&gt; {\n            if (document.hidden) {\n                this.pauseTracking();\n            } else {\n                this.resumeTracking();\n            }\n        });\n    }\n\n    handleActivity() {\n        if (!this.isReading) {\n            this.resumeTracking();\n        }\n\n        clearTimeout(this.idleTimeout);\n        this.idleTimeout = setTimeout(() =&gt; this.pauseTracking(), 60000); // 1\u5206\u949f\u65e0\u6d3b\u52a8\u6682\u505c\n    }\n\n    pauseTracking() {\n        if (this.isReading) {\n            this.totalTime += Date.now() - this.startTime;\n            this.isReading = false;\n        }\n    }\n\n    resumeTracking() {\n        if (!this.isReading) {\n            this.startTime = Date.now();\n            this.isReading = true;\n        }\n    }\n\n    getReadTime() {\n        const currentTime = this.isReading ? \n            this.totalTime + (Date.now() - this.startTime) : \n            this.totalTime;\n\n        return Math.floor(currentTime / 1000 / 60); // \u8fd4\u56de\u5206\u949f\n    // \u663e\u793a\u9605\u8bfb\u65f6\u957f\n    displayReadTime() {\n        const readTimeElement = document.querySelector('.read-time');\n        if (readTimeElement) {\n            const minutes = this.getReadTime();\n            readTimeElement.textContent = `\u9605\u8bfb\u65f6\u957f: ${minutes} \u5206\u949f`;\n        }\n    }\n\n    // \u83b7\u53d6\u9605\u8bfb\u8fdb\u5ea6\n    getReadProgress() {\n        const windowHeight = window.innerHeight;\n        const docHeight = document.documentElement.scrollHeight - windowHeight;\n        const scrollTop = window.pageYOffset || document.documentElement.scrollTop;\n        return Math.min((scrollTop / docHeight) * 100, 100);\n    }\n\n    // \u4fdd\u5b58\u9605\u8bfb\u8bb0\u5f55\n    saveReadingHistory() {\n        const path = window.location.pathname;\n        const history = JSON.parse(localStorage.getItem('reading_history') || '{}');\n\n        history[path] = {\n            lastRead: Date.now(),\n            readTime: this.getReadTime(),\n            progress: this.getReadProgress()\n        };\n\n        localStorage.setItem('reading_history', JSON.stringify(history));\n    }\n}\n\n// \u521d\u59cb\u5316\u9605\u8bfb\u65f6\u957f\u8ffd\u8e2a\nconst readTracker = new ReadTimeTracker();\n\n// \u5b9a\u671f\u66f4\u65b0\u663e\u793a\nsetInterval(() =&gt; {\n    readTracker.displayReadTime();\n}, 30000); // \u6bcf30\u79d2\u66f4\u65b0\u4e00\u6b21\n\n// \u9875\u9762\u79bb\u5f00\u65f6\u4fdd\u5b58\u8bb0\u5f55\nwindow.addEventListener('beforeunload', () =&gt; {\n    readTracker.saveReadingHistory();\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6333","title":"6.3.3.3 \u5206\u4eab\u7edf\u8ba1","text":"<ol> <li>\u5206\u4eab\u529f\u80fd\u548c\u7edf\u8ba1\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/share.js\nclass ShareTracker {\n    constructor() {\n        this.storageKey = 'share_statistics';\n        this.data = this.loadData();\n        this.setupShareButtons();\n    }\n\n    loadData() {\n        return JSON.parse(localStorage.getItem(this.storageKey) || '{}');\n    }\n\n    saveData() {\n        localStorage.setItem(this.storageKey, JSON.stringify(this.data));\n    }\n\n    setupShareButtons() {\n        const shareButtons = document.querySelectorAll('.share-button');\n\n        shareButtons.forEach(button =&gt; {\n            button.addEventListener('click', (e) =&gt; {\n                const platform = button.dataset.platform;\n                this.shareContent(platform);\n                this.recordShare(platform);\n            });\n        });\n    }\n\n    shareContent(platform) {\n        const url = encodeURIComponent(window.location.href);\n        const title = encodeURIComponent(document.title);\n        const description = encodeURIComponent(\n            document.querySelector('meta[name=\"description\"]')?.content || ''\n        );\n\n        let shareUrl;\n        switch (platform) {\n            case 'twitter':\n                shareUrl = `https://twitter.com/intent/tweet?url=${url}&amp;text=${title}`;\n                break;\n            case 'facebook':\n                shareUrl = `https://www.facebook.com/sharer/sharer.php?u=${url}`;\n                break;\n            case 'linkedin':\n                shareUrl = `https://www.linkedin.com/sharing/share-offsite/?url=${url}`;\n                break;\n            case 'weibo':\n                shareUrl = `http://service.weibo.com/share/share.php?url=${url}&amp;title=${title}`;\n                break;\n        }\n\n        if (shareUrl) {\n            window.open(shareUrl, '_blank', 'width=600,height=400');\n        }\n    }\n\n    recordShare(platform) {\n        const path = window.location.pathname;\n        if (!this.data[path]) {\n            this.data[path] = {};\n        }\n        if (!this.data[path][platform]) {\n            this.data[path][platform] = 0;\n        }\n        this.data[path][platform]++;\n        this.saveData();\n        this.updateShareCount(platform);\n    }\n\n    updateShareCount(platform) {\n        const countElement = document.querySelector(`.share-count[data-platform=\"${platform}\"]`);\n        if (countElement) {\n            const path = window.location.pathname;\n            countElement.textContent = this.data[path][platform] || 0;\n        }\n    }\n\n    getShareStats() {\n        return Object.entries(this.data).map(([path, platforms]) =&gt; ({\n            path,\n            total: Object.values(platforms).reduce((a, b) =&gt; a + b, 0),\n            platforms\n        }));\n    }\n\n    displayShareStats() {\n        const stats = this.getShareStats();\n        console.table(stats);\n        return stats;\n    }\n}\n</code></pre> <ol> <li>\u7edf\u8ba1\u6570\u636e\u53ef\u89c6\u5316\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/statistics-visualization.js\nclass StatisticsVisualizer {\n    constructor(analytics, readTracker, shareTracker) {\n        this.analytics = analytics;\n        this.readTracker = readTracker;\n        this.shareTracker = shareTracker;\n    }\n\n    createDashboard() {\n        const dashboard = document.createElement('div');\n        dashboard.className = 'statistics-dashboard';\n        dashboard.innerHTML = `\n            &lt;div class=\"dashboard-section\"&gt;\n                &lt;h3&gt;\u8bbf\u95ee\u7edf\u8ba1&lt;/h3&gt;\n                &lt;div class=\"stats-grid\"&gt;\n                    &lt;div class=\"stat-card\"&gt;\n                        &lt;div class=\"stat-value\"&gt;${this.analytics.data.totalVisits}&lt;/div&gt;\n                        &lt;div class=\"stat-label\"&gt;\u603b\u8bbf\u95ee\u91cf&lt;/div&gt;\n                    &lt;/div&gt;\n                    &lt;div class=\"stat-card\"&gt;\n                        &lt;div class=\"stat-value\"&gt;${this.readTracker.getReadTime()}&lt;/div&gt;\n                        &lt;div class=\"stat-label\"&gt;\u603b\u9605\u8bfb\u65f6\u957f(\u5206\u949f)&lt;/div&gt;\n                    &lt;/div&gt;\n                    &lt;div class=\"stat-card\"&gt;\n                        &lt;div class=\"stat-value\"&gt;${this.getTotalShares()}&lt;/div&gt;\n                        &lt;div class=\"stat-label\"&gt;\u603b\u5206\u4eab\u6b21\u6570&lt;/div&gt;\n                    &lt;/div&gt;\n                &lt;/div&gt;\n                &lt;div id=\"visitsChart\"&gt;&lt;/div&gt;\n            &lt;/div&gt;\n        `;\n\n        document.body.appendChild(dashboard);\n        this.renderCharts();\n    }\n\n    renderCharts() {\n        // \u4f7f\u7528 Chart.js \u7ed8\u5236\u56fe\u8868\n        const ctx = document.getElementById('visitsChart').getContext('2d');\n        new Chart(ctx, {\n            type: 'line',\n            data: {\n                labels: this.getTimeLabels(),\n                datasets: [{\n                    label: '\u8bbf\u95ee\u8d8b\u52bf',\n                    data: this.getVisitData(),\n                    borderColor: 'rgb(75, 192, 192)',\n                    tension: 0.1\n                }]\n            },\n            options: {\n                responsive: true,\n                scales: {\n                    y: {\n                        beginAtZero: true\n                    }\n                }\n            }\n        });\n    }\n\n    getTotalShares() {\n        const stats = this.shareTracker.getShareStats();\n        return stats.reduce((total, page) =&gt; total + page.total, 0);\n    }\n\n    getTimeLabels() {\n        // \u83b7\u53d6\u6700\u8fd17\u5929\u7684\u65e5\u671f\u6807\u7b7e\n        return Array.from({length: 7}, (_, i) =&gt; {\n            const d = new Date();\n            d.setDate(d.getDate() - i);\n            return d.toLocaleDateString();\n        }).reverse();\n    }\n\n    getVisitData() {\n        // \u5904\u7406\u8bbf\u95ee\u6570\u636e\n        return this.analytics.getVisitsByDate(7);\n    }\n}\n\n// \u6837\u5f0f\nconst styles = `\n    .statistics-dashboard {\n        padding: 2rem;\n        background: var(--md-default-bg-color);\n        border-radius: 8px;\n        box-shadow: var(--md-shadow-z2);\n    }\n\n    .stats-grid {\n        display: grid;\n        grid-template-columns: repeat(auto-fit, minmax(200px, 1fr));\n        gap: 1rem;\n        margin: 1rem 0;\n    }\n\n    .stat-card {\n        padding: 1rem;\n        background: var(--md-code-bg-color);\n        border-radius: 4px;\n        text-align: center;\n    }\n\n    .stat-value {\n        font-size: 2rem;\n        font-weight: bold;\n        color: var(--md-primary-fg-color);\n    }\n\n    .stat-label {\n        font-size: 0.9rem;\n        color: var(--md-default-fg-color--light);\n        margin-top: 0.5rem;\n    }\n`;\n\n// \u5c06\u6837\u5f0f\u6dfb\u52a0\u5230\u6587\u6863\nconst styleSheet = document.createElement('style');\nstyleSheet.textContent = styles;\ndocument.head.appendChild(styleSheet);\n\n// \u521d\u59cb\u5316\u7edf\u8ba1\u53ef\u89c6\u5316\nconst visualizer = new StatisticsVisualizer(analytics, readTracker, shareTracker);\nvisualizer.createDashboard();\n</code></pre> <p>\u8fd9\u6837\u6211\u4eec\u5c31\u5b8c\u6210\u4e86\u5b8c\u6574\u7684\u6570\u636e\u7edf\u8ba1\u7cfb\u7edf\uff0c\u5305\u62ec\uff1a</p> <ol> <li>\u8bbf\u95ee\u7edf\u8ba1</li> <li>\u9605\u8bfb\u65f6\u957f\u8ffd\u8e2a</li> <li>\u5206\u4eab\u7edf\u8ba1</li> <li>\u6570\u636e\u53ef\u89c6\u5316\u5c55\u793a</li> </ol> <p>\u4f7f\u7528\u65f6\uff0c\u53ea\u9700\u8981\u5728 mkdocs.yml \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684 JavaScript \u6587\u4ef6\uff1a</p> YAML<pre><code>extra_javascript:\n  - javascripts/analytics.js\n  - javascripts/read-time.js\n  - javascripts/share.js\n  - javascripts/statistics-visualization.js\n  - https://cdn.jsdelivr.net/npm/chart.js\n</code></pre> <p>\u7136\u540e\u5728\u9875\u9762\u4e2d\u6dfb\u52a0\u5fc5\u8981\u7684 HTML \u5143\u7d20\u5373\u53ef\u542f\u7528\u8fd9\u4e9b\u529f\u80fd\u3002</p>"},{"location":"Technology/mkdocs%20material/#7","title":"7 \u6a21\u677f\u590d\u5199","text":""},{"location":"Technology/mkdocs%20material/#71","title":"7.1 \u91cd\u5199\u9875\u9762\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#711","title":"7.1.1 \u4e3b\u9875\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#7111","title":"7.1.1.1 \u5e03\u5c40\u7ed3\u6784","text":"<ol> <li>\u521b\u5efa\u81ea\u5b9a\u4e49\u4e3b\u9875\u6a21\u677f\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/main.html --&gt;\n{% extends \"base.html\" %}\n\n{% block hero %}\n&lt;section class=\"home-hero\"&gt;\n    &lt;div class=\"hero-content\"&gt;\n        &lt;h1&gt;{{ config.site_name }}&lt;/h1&gt;\n        &lt;p&gt;{{ config.site_description }}&lt;/p&gt;\n\n        &lt;!-- \u81ea\u5b9a\u4e49\u641c\u7d22\u6846 --&gt;\n        &lt;div class=\"hero-search\"&gt;\n            &lt;input type=\"text\" placeholder=\"\u641c\u7d22\u6587\u6863...\" id=\"hero-search-input\"&gt;\n            &lt;button&gt;\n                &lt;span class=\"twemoji\"&gt;\n                    {% include \".icons/material/magnify.svg\" %}\n                &lt;/span&gt;\n            &lt;/button&gt;\n        &lt;/div&gt;\n\n        &lt;!-- \u5feb\u901f\u5165\u53e3 --&gt;\n        &lt;div class=\"hero-buttons\"&gt;\n            &lt;a href=\"{{ page.next_page.url | url }}\" class=\"md-button md-button--primary\"&gt;\n                \u5feb\u901f\u5f00\u59cb\n                &lt;span class=\"twemoji\"&gt;\n                    {% include \".icons/material/arrow-right.svg\" %}\n                &lt;/span&gt;\n            &lt;/a&gt;\n            &lt;a href=\"{{ config.repo_url }}\" class=\"md-button\"&gt;\n                \u67e5\u770b\u6e90\u7801\n                &lt;span class=\"twemoji\"&gt;\n                    {% include \".icons/material/github.svg\" %}\n                &lt;/span&gt;\n            &lt;/a&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/section&gt;\n{% endblock %}\n\n{% block content %}\n&lt;section class=\"home-features\"&gt;\n    &lt;h2&gt;\u7279\u8272\u529f\u80fd&lt;/h2&gt;\n    &lt;div class=\"features-grid\"&gt;\n        &lt;!-- \u529f\u80fd\u5361\u7247 --&gt;\n        &lt;div class=\"feature-card\"&gt;\n            &lt;div class=\"feature-icon\"&gt;\n                {% include \".icons/material/speedometer.svg\" %}\n            &lt;/div&gt;\n            &lt;h3&gt;\u9ad8\u6027\u80fd&lt;/h3&gt;\n            &lt;p&gt;\u57fa\u4e8e\u9759\u6001\u7ad9\u70b9\u751f\u6210\uff0c\u52a0\u8f7d\u8fc5\u901f&lt;/p&gt;\n        &lt;/div&gt;\n        &lt;!-- \u66f4\u591a\u529f\u80fd\u5361\u7247 --&gt;\n    &lt;/div&gt;\n&lt;/section&gt;\n\n&lt;!-- \u6700\u8fd1\u66f4\u65b0 --&gt;\n&lt;section class=\"home-updates\"&gt;\n    &lt;h2&gt;\u6700\u8fd1\u66f4\u65b0&lt;/h2&gt;\n    &lt;div class=\"updates-list\"&gt;\n        {% for update in config.theme.updates[:5] %}\n        &lt;div class=\"update-item\"&gt;\n            &lt;span class=\"update-date\"&gt;{{ update.date }}&lt;/span&gt;\n            &lt;a href=\"{{ update.url | url }}\"&gt;{{ update.title }}&lt;/a&gt;\n        &lt;/div&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/section&gt;\n{% endblock %}\n</code></pre> <ol> <li>\u4e3b\u9875\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/home.css */\n\n/* \u4e3b\u9875\u82f1\u96c4\u533a */\n.home-hero {\n    min-height: 100vh;\n    display: flex;\n    align-items: center;\n    justify-content: center;\n    text-align: center;\n    background: linear-gradient(\n        to bottom right,\n        var(--md-primary-fg-color),\n        var(--md-accent-fg-color)\n    );\n    color: var(--md-primary-bg-color);\n}\n\n.hero-content {\n    max-width: 800px;\n    padding: 2rem;\n}\n\n.hero-content h1 {\n    font-size: 3rem;\n    margin-bottom: 1rem;\n}\n\n/* \u641c\u7d22\u6846\u6837\u5f0f */\n.hero-search {\n    margin: 2rem 0;\n    position: relative;\n}\n\n.hero-search input {\n    width: 100%;\n    padding: 1rem 3rem 1rem 1rem;\n    border: none;\n    border-radius: 2rem;\n    background: rgba(255, 255, 255, 0.1);\n    color: white;\n    backdrop-filter: blur(10px);\n}\n\n/* \u529f\u80fd\u533a\u6837\u5f0f */\n.features-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n    gap: 2rem;\n    padding: 2rem;\n}\n\n.feature-card {\n    padding: 2rem;\n    background: var(--md-default-bg-color);\n    border-radius: 8px;\n    box-shadow: var(--md-shadow-z1);\n    transition: transform 0.3s ease;\n}\n\n.feature-card:hover {\n    transform: translateY(-4px);\n}\n\n/* \u66f4\u65b0\u5217\u8868\u6837\u5f0f */\n.updates-list {\n    max-width: 800px;\n    margin: 0 auto;\n    padding: 2rem;\n}\n\n.update-item {\n    display: flex;\n    align-items: center;\n    padding: 1rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .hero-content h1 {\n        font-size: 2rem;\n    }\n\n    .features-grid {\n        grid-template-columns: 1fr;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7112","title":"7.1.1.2 \u7ec4\u4ef6\u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\u4e3b\u9898\uff1a</li> </ol> YAML<pre><code>theme:\n  name: material\n  custom_dir: docs/overrides\n  features:\n    - navigation.tabs\n    - navigation.sections\n    - navigation.expand\n\n  # \u4e3b\u9875\u914d\u7f6e\n  homepage:\n    hero:\n      title: \u7f51\u7ad9\u6807\u9898\n      subtitle: \u7f51\u7ad9\u63cf\u8ff0\n      image: assets/hero.svg\n\n    # \u529f\u80fd\u7279\u6027\n    features:\n      - title: \u9ad8\u6027\u80fd\n        description: \u57fa\u4e8e\u9759\u6001\u7ad9\u70b9\u751f\u6210\uff0c\u52a0\u8f7d\u8fc5\u901f\n        icon: material/speedometer\n      - title: \u6613\u4e8e\u4f7f\u7528\n        description: \u7b80\u5355\u7684\u914d\u7f6e\uff0c\u5feb\u901f\u4e0a\u624b\n        icon: material/puzzle\n      # \u66f4\u591a\u529f\u80fd\u7279\u6027...\n\n    # \u66f4\u65b0\u5217\u8868\n    updates:\n      - date: 2024-01-20\n        title: \u65b0\u589e\u529f\u80fdA\n        url: /new-feature-a\n      - date: 2024-01-18\n        title: \u95ee\u9898\u4fee\u590dB\n        url: /bug-fix-b\n      # \u66f4\u591a\u66f4\u65b0...\n</code></pre> <ol> <li>\u4e3b\u9875\u529f\u80fd\u7c7b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/home.js\nclass HomePage {\n    constructor() {\n        this.searchInput = document.getElementById('hero-search-input');\n        this.setupSearch();\n        this.setupFeatureCards();\n    }\n\n    setupSearch() {\n        this.searchInput?.addEventListener('keyup', (e) =&gt; {\n            if (e.key === 'Enter') {\n                const query = e.target.value;\n                window.location.href = `${window.location.origin}/search.html?q=${encodeURIComponent(query)}`;\n            }\n        });\n    }\n\n    setupFeatureCards() {\n        const cards = document.querySelectorAll('.feature-card');\n\n        cards.forEach(card =&gt; {\n            card.addEventListener('mousemove', (e) =&gt; {\n                const rect = card.getBoundingClientRect();\n                const x = e.clientX - rect.left;\n                const y = e.clientY - rect.top;\n\n                card.style.setProperty('--mouse-x', `${x}px`);\n                card.style.setProperty('--mouse-y', `${y}px`);\n            });\n        });\n    }\n}\n\n// \u521d\u59cb\u5316\u4e3b\u9875\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new HomePage();\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7113","title":"7.1.1.3 \u81ea\u5b9a\u4e49\u533a\u57df","text":"<ol> <li>\u521b\u5efa\u81ea\u5b9a\u4e49\u533a\u57df\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/custom-content.html --&gt;\n{% if page.meta.custom_content %}\n&lt;section class=\"custom-content\"&gt;\n    &lt;!-- \u516c\u544a\u533a --&gt;\n    {% if page.meta.announcements %}\n    &lt;div class=\"announcements\"&gt;\n        {% for announcement in page.meta.announcements %}\n        &lt;div class=\"announcement-item\"&gt;\n            &lt;span class=\"announcement-tag\"&gt;{{ announcement.tag }}&lt;/span&gt;\n            &lt;p&gt;{{ announcement.content }}&lt;/p&gt;\n        &lt;/div&gt;\n        {% endfor %}\n    &lt;/div&gt;\n    {% endif %}\n\n    &lt;!-- \u8d21\u732e\u8005\u533a\u57df --&gt;\n    {% if page.meta.contributors %}\n    &lt;div class=\"contributors\"&gt;\n        &lt;h3&gt;\u9879\u76ee\u8d21\u732e\u8005&lt;/h3&gt;\n        &lt;div class=\"contributors-grid\"&gt;\n            {% for contributor in page.meta.contributors %}\n            &lt;a href=\"{{ contributor.url }}\" class=\"contributor-card\"&gt;\n                &lt;img src=\"{{ contributor.avatar }}\" alt=\"{{ contributor.name }}\"&gt;\n                &lt;span&gt;{{ contributor.name }}&lt;/span&gt;\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endif %}\n\n    &lt;!-- \u8d5e\u52a9\u5546\u533a\u57df --&gt;\n    {% if page.meta.sponsors %}\n    &lt;div class=\"sponsors\"&gt;\n        &lt;h3&gt;\u8d5e\u52a9\u5546&lt;/h3&gt;\n        &lt;div class=\"sponsors-grid\"&gt;\n            {% for sponsor in page.meta.sponsors %}\n            &lt;a href=\"{{ sponsor.url }}\" class=\"sponsor-card\"&gt;\n                &lt;img src=\"{{ sponsor.logo }}\" alt=\"{{ sponsor.name }}\"&gt;\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endif %}\n&lt;/section&gt;\n{% endif %}\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u533a\u57df\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/custom-content.css */\n\n/* \u516c\u544a\u533a\u57df */\n.announcements {\n    margin: 2rem 0;\n}\n\n.announcement-item {\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 4px;\n    margin-bottom: 1rem;\n}\n\n.announcement-tag {\n    display: inline-block;\n    padding: 0.2rem 0.5rem;\n    background: var(--md-accent-fg-color);\n    color: white;\n    border-radius: 2rem;\n    font-size: 0.8rem;\n    margin-right: 0.5rem;\n}\n\n/* \u8d21\u732e\u8005\u533a\u57df */\n.contributors-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fill, minmax(100px, 1fr));\n    gap: 1rem;\n    margin: 1rem 0;\n}\n\n.contributor-card {\n    text-align: center;\n    text-decoration: none;\n    color: var(--md-default-fg-color);\n}\n\n.contributor-card img {\n    width: 60px;\n    height: 60px;\n    border-radius: 50%;\n    margin-bottom: 0.5rem;\n}\n\n/* \u8d5e\u52a9\u5546\u533a\u57df */\n.sponsors-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fill, minmax(150px, 1fr));\n    gap: 2rem;\n    margin: 1rem 0;\n}\n\n.sponsor-card img {\n    width: 100%;\n    height: auto;\n    filter: grayscale(100%);\n    transition: filter 0.3s ease;\n}\n\n.sponsor-card:hover img {\n    filter: grayscale(0%);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#712","title":"7.1.2 \u6587\u7ae0\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#7121","title":"7.1.2.1 \u6587\u7ae0\u5934\u90e8","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/article-header.html --&gt;\n&lt;header class=\"article-header\"&gt;\n    &lt;!-- \u6587\u7ae0\u6807\u9898 --&gt;\n    &lt;h1&gt;{{ page.title }}&lt;/h1&gt;\n\n    &lt;!-- \u6587\u7ae0\u5143\u4fe1\u606f --&gt;\n    &lt;div class=\"article-meta\"&gt;\n        {% if page.meta.author %}\n        &lt;div class=\"meta-item\"&gt;\n            &lt;span class=\"meta-icon\"&gt;\n                {% include \".icons/material/account.svg\" %}\n            &lt;/span&gt;\n            &lt;span&gt;{{ page.meta.author }}&lt;/span&gt;\n        &lt;/div&gt;\n        {% endif %}\n\n        {% if page.meta.date %}\n        &lt;div class=\"meta-item\"&gt;\n            &lt;span class=\"meta-icon\"&gt;\n                {% include \".icons/material/calendar.svg\" %}\n            &lt;/span&gt;\n            &lt;span&gt;{{ page.meta.date }}&lt;/span&gt;\n        &lt;/div&gt;\n        {% endif %}\n\n        {% if page.meta.tags %}\n        &lt;div class=\"article-tags\"&gt;\n            {% for tag in page.meta.tags %}\n            &lt;a href=\"{{ base_url }}/tags/#{{ tag }}\" class=\"tag\"&gt;\n                # {{ tag }}\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n        {% endif %}\n    &lt;/div&gt;\n\n    &lt;!-- \u6587\u7ae0\u6982\u8ff0 --&gt;\n    {% if page.meta.description %}\n    &lt;div class=\"article-description\"&gt;\n        {{ page.meta.description }}\n    &lt;/div&gt;\n    {% endif %}\n&lt;/header&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7122","title":"7.1.2.2 \u6b63\u6587\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/article.css */\n\n/* \u6587\u7ae0\u5bb9\u5668 */\n.md-content article {\n    max-width: 800px;\n    margin: 0 auto;\n    padding: 2rem;\n}\n\n/* \u6587\u7ae0\u5934\u90e8 */\n.article-header {\n    margin-bottom: 3rem;\n    text-align: center;\n}\n\n.article-meta {\n    display: flex;\n    justify-content: center;\n    gap: 1rem;\n    margin: 1rem 0;\n    color: var(--md-default-fg-color--light);\n}\n\n.meta-item {\n    display: flex;\n    align-items: center;\n    gap: 0.5rem;\n}\n\n.article-tags {\n    margin-top: 1rem;\n}\n\n.tag {\n    display: inline-block;\n    padding: 0.2rem 0.5rem;\n    margin: 0.2rem;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    font-size: 0.8rem;\n}\n\n/* \u6587\u7ae0\u5185\u5bb9\u6837\u5f0f */\n.md-content article {\n    font-size: 1.1rem;\n    line-height: 1.8;\n}\n\n/* \u6807\u9898\u6837\u5f0f */\n.md-content article h2 {\n    margin-top: 3rem;\n    padding-bottom: 0.5rem;\n    border-bottom: 2px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u4ee3\u7801\u5757\u6837\u5f0f */\n.md-content pre {\n    border-radius: 8px;\n    margin: 1.5rem 0;\n}\n\n/* \u5f15\u7528\u6837\u5f0f */\n.md-content blockquote {\n    border-left: 4px solid var(--md-accent-fg-color);\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    margin: 1.5rem 0;\n}\n\n/* \u56fe\u7247\u6837\u5f0f */\n.md-content img {\n    max-width: 100%;\n    border-radius: 8px;\n    margin: 1.5rem 0;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7123","title":"7.1.2.3 \u5e95\u90e8\u4fe1\u606f","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/article-footer.html --&gt;\n&lt;footer class=\"article-footer\"&gt;\n    &lt;!-- \u6587\u7ae0\u5bfc\u822a --&gt;\n    &lt;nav class=\"article-nav\"&gt;\n        {% if page.previous_page %}\n        &lt;a href=\"{{ page.previous_page.url | url }}\" class=\"nav-link nav-prev\"&gt;\n            &lt;span class=\"nav-icon\"&gt;\n                {% include \".icons/material/arrow-left.svg\" %}\n            &lt;/span&gt;\n            &lt;span class=\"nav-text\"&gt;\n                &lt;span class=\"nav-direction\"&gt;\u4e0a\u4e00\u7bc7&lt;/span&gt;\n                &lt;span class=\"nav-title\"&gt;{{ page.previous_page.title }}&lt;/span&gt;\n            &lt;/span&gt;\n        &lt;/a&gt;\n        {% endif %}\n\n        {% if page.next_page %}\n        &lt;a href=\"{{ page.next_page.url | url }}\" class=\"nav-link nav-next\"&gt;\n            &lt;span class=\"nav-text\"&gt;\n                &lt;span class=\"nav-direction\"&gt;\u4e0b\u4e00\u7bc7&lt;/span&gt;\n                &lt;span class=\"nav-title\"&gt;{{ page.next_page.title }}&lt;/span&gt;\n            &lt;/span&gt;\n            &lt;span class=\"nav-icon\"&gt;\n                {% include \".icons/material/arrow-right.svg\" %}\n            &lt;/span&gt;\n        &lt;/a&gt;\n        {% endif %}\n    &lt;/nav&gt;\n\n    &lt;!-- \u5206\u4eab\u6309\u94ae --&gt;\n    &lt;div class=\"article-share\"&gt;\n        &lt;h4&gt;\u5206\u4eab\u6587\u7ae0&lt;/h4&gt;\n        &lt;div class=\"share-buttons\"&gt;\n            &lt;button class=\"share-button\" data-platform=\"twitter\"&gt;\n                {% include \".icons/material/twitter.svg\" %}\n            &lt;/button&gt;\n            &lt;button class=\"share-button\" data-platform=\"facebook\"&gt;\n                {% include \".icons/material/facebook.svg\" %}\n            &lt;/button&gt;\n            &lt;button class=\"share-button\" data-platform=\"linkedin\"&gt;\n                {% include \".icons/material/linkedin.svg\" %}\n            &lt;/button&gt;\n            &lt;button class=\"share-button\" data-platform=\"weibo\"&gt;\n                {% include \".icons/material/sina-weibo.svg\" %}\n            &lt;/button&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u76f8\u5173\u6587\u7ae0 --&gt;\n    {% if page.meta.related_posts %}\n    &lt;div class=\"related-posts\"&gt;\n        &lt;h4&gt;\u76f8\u5173\u6587\u7ae0&lt;/h4&gt;\n        &lt;div class=\"related-grid\"&gt;\n            {% for post in page.meta.related_posts %}\n            &lt;a href=\"{{ post.url | url }}\" class=\"related-post\"&gt;\n                {% if post.image %}\n                &lt;img src=\"{{ post.image }}\" alt=\"{{ post.title }}\"&gt;\n                {% endif %}\n                &lt;h5&gt;{{ post.title }}&lt;/h5&gt;\n                &lt;p&gt;{{ post.excerpt }}&lt;/p&gt;\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endif %}\n\n    &lt;!-- \u8bc4\u8bba\u533a --&gt;\n    &lt;div class=\"article-comments\"&gt;\n        &lt;h4&gt;\u8bc4\u8bba&lt;/h4&gt;\n        {% if config.extra.comments.provider == 'giscus' %}\n        &lt;script src=\"https://giscus.app/client.js\"\n            data-repo=\"{{ config.extra.comments.repo }}\"\n            data-repo-id=\"{{ config.extra.comments.repo_id }}\"\n            data-category=\"{{ config.extra.comments.category }}\"\n            data-category-id=\"{{ config.extra.comments.category_id }}\"\n            data-mapping=\"pathname\"\n            data-reactions-enabled=\"1\"\n            data-emit-metadata=\"0\"\n            data-theme=\"light\"\n            crossorigin=\"anonymous\"\n            async&gt;\n        &lt;/script&gt;\n        {% endif %}\n    &lt;/div&gt;\n&lt;/footer&gt;\n\n&lt;!-- \u6587\u7ae0\u5e95\u90e8\u6837\u5f0f --&gt;\n&lt;style&gt;\n.article-footer {\n    margin-top: 4rem;\n    padding-top: 2rem;\n    border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u6587\u7ae0\u5bfc\u822a */\n.article-nav {\n    display: flex;\n    justify-content: space-between;\n    margin-bottom: 2rem;\n}\n\n.nav-link {\n    display: flex;\n    align-items: center;\n    padding: 1rem;\n    text-decoration: none;\n    color: var(--md-default-fg-color);\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n    max-width: 45%;\n}\n\n.nav-link:hover {\n    transform: translateY(-2px);\n}\n\n.nav-text {\n    display: flex;\n    flex-direction: column;\n}\n\n.nav-direction {\n    font-size: 0.8rem;\n    color: var(--md-default-fg-color--light);\n}\n\n.nav-title {\n    font-weight: 500;\n}\n\n/* \u5206\u4eab\u6309\u94ae */\n.share-buttons {\n    display: flex;\n    gap: 1rem;\n    margin: 1rem 0;\n}\n\n.share-button {\n    padding: 0.8rem;\n    border: none;\n    border-radius: 50%;\n    background: var(--md-code-bg-color);\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.share-button:hover {\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n\n/* \u76f8\u5173\u6587\u7ae0 */\n.related-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n    gap: 1.5rem;\n    margin: 1rem 0;\n}\n\n.related-post {\n    text-decoration: none;\n    color: var(--md-default-fg-color);\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    overflow: hidden;\n    transition: transform 0.2s ease;\n}\n\n.related-post:hover {\n    transform: translateY(-4px);\n}\n\n.related-post img {\n    width: 100%;\n    height: 150px;\n    object-fit: cover;\n}\n\n.related-post h5 {\n    margin: 1rem;\n    font-size: 1.1rem;\n}\n\n.related-post p {\n    margin: 0 1rem 1rem;\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u8bc4\u8bba\u533a */\n.article-comments {\n    margin-top: 3rem;\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .article-nav {\n        flex-direction: column;\n        gap: 1rem;\n    }\n\n    .nav-link {\n        max-width: 100%;\n    }\n\n    .related-grid {\n        grid-template-columns: 1fr;\n    }\n}\n&lt;/style&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#713-404","title":"7.1.3 404\u9875\u9762","text":""},{"location":"Technology/mkdocs%20material/#7131","title":"7.1.3.1 \u9519\u8bef\u63d0\u793a","text":"HTML<pre><code>&lt;!-- docs/overrides/404.html --&gt;\n{% extends \"base.html\" %}\n\n{% block content %}\n&lt;div class=\"error-page\"&gt;\n    &lt;div class=\"error-content\"&gt;\n        &lt;!-- 404 \u56fe\u6807 --&gt;\n        &lt;div class=\"error-icon\"&gt;\n            {% include \".icons/material/alert-circle-outline.svg\" %}\n            &lt;span class=\"error-code\"&gt;404&lt;/span&gt;\n        &lt;/div&gt;\n\n        &lt;!-- \u9519\u8bef\u4fe1\u606f --&gt;\n        &lt;h1&gt;\u9875\u9762\u672a\u627e\u5230&lt;/h1&gt;\n        &lt;p&gt;\u62b1\u6b49\uff0c\u60a8\u8bbf\u95ee\u7684\u9875\u9762\u4e0d\u5b58\u5728\u6216\u5df2\u88ab\u79fb\u52a8&lt;/p&gt;\n\n        &lt;!-- \u641c\u7d22\u6846 --&gt;\n        &lt;div class=\"error-search\"&gt;\n            &lt;input type=\"text\" \n                   id=\"error-search-input\" \n                   placeholder=\"\u5c1d\u8bd5\u641c\u7d22...\"\n                   autocomplete=\"off\"&gt;\n            &lt;button id=\"error-search-button\"&gt;\n                {% include \".icons/material/magnify.svg\" %}\n            &lt;/button&gt;\n        &lt;/div&gt;\n\n        &lt;!-- \u5feb\u6377\u64cd\u4f5c --&gt;\n        &lt;div class=\"error-actions\"&gt;\n            &lt;a href=\"{{ base_url }}\" class=\"md-button md-button--primary\"&gt;\n                \u8fd4\u56de\u9996\u9875\n            &lt;/a&gt;\n            &lt;button class=\"md-button\" onclick=\"window.history.back()\"&gt;\n                \u8fd4\u56de\u4e0a\u9875\n            &lt;/button&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u641c\u7d22\u5efa\u8bae --&gt;\n    &lt;div class=\"search-suggestions\" id=\"search-suggestions\"&gt;\n        &lt;h3&gt;\u60a8\u662f\u5426\u5728\u627e\uff1a&lt;/h3&gt;\n        &lt;div class=\"suggestions-list\" id=\"suggestions-list\"&gt;\n            &lt;!-- \u52a8\u6001\u751f\u6210\u7684\u5efa\u8bae\u5217\u8868 --&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;!-- 404\u9875\u9762\u6837\u5f0f --&gt;\n&lt;style&gt;\n.error-page {\n    min-height: 100vh;\n    display: flex;\n    flex-direction: column;\n    align-items: center;\n    justify-content: center;\n    padding: 2rem;\n    text-align: center;\n}\n\n.error-content {\n    max-width: 600px;\n}\n\n.error-icon {\n    font-size: 6rem;\n    color: var(--md-primary-fg-color);\n    margin-bottom: 2rem;\n    position: relative;\n}\n\n.error-code {\n    position: absolute;\n    bottom: -1rem;\n    right: -1rem;\n    font-size: 2rem;\n    font-weight: bold;\n    background: var(--md-accent-fg-color);\n    color: white;\n    padding: 0.5rem 1rem;\n    border-radius: 1rem;\n}\n\n.error-search {\n    margin: 2rem 0;\n    position: relative;\n}\n\n.error-search input {\n    width: 100%;\n    padding: 1rem 3rem 1rem 1rem;\n    border: 2px solid var(--md-default-fg-color--lightest);\n    border-radius: 2rem;\n    font-size: 1.1rem;\n}\n\n.error-search button {\n    position: absolute;\n    right: 0.5rem;\n    top: 50%;\n    transform: translateY(-50%);\n    background: none;\n    border: none;\n    color: var(--md-default-fg-color);\n    cursor: pointer;\n}\n\n.error-actions {\n    display: flex;\n    gap: 1rem;\n    justify-content: center;\n    margin: 2rem 0;\n}\n\n/* \u641c\u7d22\u5efa\u8bae\u6837\u5f0f */\n.search-suggestions {\n    margin-top: 3rem;\n    width: 100%;\n    max-width: 600px;\n}\n\n.suggestions-list {\n    margin-top: 1rem;\n}\n\n.suggestion-item {\n    padding: 1rem;\n    margin: 0.5rem 0;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.suggestion-item:hover {\n    background: var(--md-accent-fg-color--transparent);\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .error-icon {\n        font-size: 4rem;\n    }\n\n    .error-code {\n        font-size: 1.5rem;\n    }\n\n    .error-actions {\n        flex-direction: column;\n    }\n}\n&lt;/style&gt;\n\n&lt;!-- 404\u9875\u9762\u811a\u672c --&gt;\n&lt;script&gt;\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u641c\u7d22\u5efa\u8bae\u529f\u80fd\n    setupSearchSuggestions();\n    // \u5168\u5c40\u70ed\u952e\n    setupHotkeys();\n});\n\nfunction setupSearchSuggestions() {\n    const searchInput = document.getElementById('error-search-input');\n    const suggestionsList = document.getElementById('suggestions-list');\n\n    searchInput?.addEventListener('input', debounce(async (e) =&gt; {\n        const query = e.target.value;\n        if (query.length &lt; 2) {\n            suggestionsList.innerHTML = '';\n            return;\n        }\n\n        // \u83b7\u53d6\u641c\u7d22\u5efa\u8bae\n        const suggestions = await getSearchSuggestions(query);\n\n        // \u6e32\u67d3\u5efa\u8bae\u5217\u8868\n        suggestionsList.innerHTML = suggestions\n            .map(suggestion =&gt; `\n                &lt;div class=\"suggestion-item\" onclick=\"window.location.href='${suggestion.url}'\"&gt;\n                    &lt;div class=\"suggestion-title\"&gt;${suggestion.title}&lt;/div&gt;\n                    &lt;div class=\"suggestion-excerpt\"&gt;${suggestion.excerpt}&lt;/div&gt;\n                &lt;/div&gt;\n            `)\n            .join('');\n    }, 300));\n}\n\nasync function getSearchSuggestions(query) {\n    // \u8fd9\u91cc\u53ef\u4ee5\u5b9e\u73b0\u5b9e\u9645\u7684\u641c\u7d22\u903b\u8f91\n    // \u793a\u4f8b\u8fd4\u56de\u6570\u636e\n    return [\n        {\n            title: '\u76f8\u5173\u6587\u6863 1',\n            excerpt: '\u8fd9\u662f\u4e00\u6bb5\u76f8\u5173\u7684\u6587\u6863\u63cf\u8ff0...',\n            url: '#'\n        },\n        {\n            title: '\u76f8\u5173\u6587\u6863 2',\n            excerpt: '\u8fd9\u662f\u53e6\u4e00\u6bb5\u76f8\u5173\u7684\u6587\u6863\u63cf\u8ff0...',\n            url: '#'\n        }\n    ];\n}\n\nfunction setupHotkeys() {\n    document.addEventListener('keydown', (e) =&gt; {\n        // \u6309 ESC \u8fd4\u56de\u4e0a\u9875\n        if (e.key === 'Escape') {\n            window.history.back();\n        }\n\n        // \u6309 Enter \u6267\u884c\u641c\u7d22\n        if (e.key === 'Enter' &amp;&amp; document.activeElement.id === 'error-search-input') {\n            const query = document.activeElement.value;\n            if (query) {\n                window.location.href = `${window.location.origin}/search.html?q=${encodeURIComponent(query)}`;\n            }\n        }\n    });\n}\n\n// \u9632\u6296\u51fd\u6570\nfunction debounce(fn, delay) {\n    let timer = null;\n    return function(...args) {\n        clearTimeout(timer);\n        timer = setTimeout(() =&gt; fn.apply(this, args), delay);\n    };\n}\n&lt;/script&gt;\n</code></pre> <p>\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u5b8c\u6210\u4e86\u6587\u7ae0\u5e95\u90e8\u4fe1\u606f\u548c404\u9875\u9762\u7684\u6a21\u677f\u3002\u4e3b\u8981\u7279\u70b9\u5305\u62ec\uff1a</p> <ol> <li> <p>\u6587\u7ae0\u5e95\u90e8\uff1a - \u6e05\u6670\u7684\u4e0a\u4e0b\u6587\u7ae0\u5bfc\u822a - \u793e\u4ea4\u5206\u4eab\u6309\u94ae - \u76f8\u5173\u6587\u7ae0\u63a8\u8350 - \u96c6\u6210\u8bc4\u8bba\u7cfb\u7edf</p> </li> <li> <p>404\u9875\u9762\uff1a - \u53cb\u597d\u7684\u9519\u8bef\u63d0\u793a - \u5b9e\u65f6\u641c\u7d22\u5efa\u8bae - \u591a\u79cd\u8fd4\u56de\u9009\u9879 - \u952e\u76d8\u5feb\u6377\u952e\u652f\u6301</p> </li> </ol> <p>\u4f7f\u7528\u8fd9\u4e9b\u6a21\u677f\u65f6\uff0c\u9700\u8981\u5728 <code>mkdocs.yml</code> \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  custom_dir: docs/overrides\n  features:\n    - navigation.tracking\n    - search.suggest\n    - search.highlight\n\nextra:\n  comments:\n    provider: giscus\n    repo: username/repo\n    repo_id: your-repo-id\n    category: Comments\n    category_id: your-category-id\n</code></pre>"},{"location":"Technology/mkdocs%20material/#72","title":"7.2 \u4fee\u6539\u7ec4\u4ef6\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#721","title":"7.2.1 \u5bfc\u822a\u680f","text":""},{"location":"Technology/mkdocs%20material/#7211","title":"7.2.1.1 \u5bfc\u822a\u9879\u5b9a\u5236","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/nav.html --&gt;\n{% extends \"base.html\" %}\n\n{% block site_nav %}\n&lt;nav class=\"md-nav md-nav--primary\"&gt;\n    &lt;!-- \u81ea\u5b9a\u4e49\u5bfc\u822a\u5934\u90e8 --&gt;\n    &lt;div class=\"nav-header\"&gt;\n        {% if config.theme.logo %}\n        &lt;img src=\"{{ config.theme.logo }}\" alt=\"logo\" class=\"nav-logo\"&gt;\n        {% endif %}\n        &lt;span class=\"nav-title\"&gt;{{ config.site_name }}&lt;/span&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u81ea\u5b9a\u4e49\u5bfc\u822a\u9879 --&gt;\n    &lt;ul class=\"nav-items\"&gt;\n        {% for nav_item in nav %}\n        {% include \"partials/nav-item.html\" %}\n        {% endfor %}\n\n        &lt;!-- \u6dfb\u52a0\u81ea\u5b9a\u4e49\u5bfc\u822a\u9879 --&gt;\n        {% if config.extra.nav_links %}\n        {% for link in config.extra.nav_links %}\n        &lt;li class=\"nav-item custom\"&gt;\n            &lt;a href=\"{{ link.url }}\" class=\"nav-link\" {% if link.target %}target=\"{{ link.target }}\"{% endif %}&gt;\n                {% if link.icon %}\n                &lt;span class=\"nav-icon\"&gt;\n                    {% include \".icons/\" ~ link.icon ~ \".svg\" %}\n                &lt;/span&gt;\n                {% endif %}\n                {{ link.title }}\n            &lt;/a&gt;\n        &lt;/li&gt;\n        {% endfor %}\n        {% endif %}\n    &lt;/ul&gt;\n&lt;/nav&gt;\n</code></pre> <p>\u914d\u7f6e\u548c\u6837\u5f0f\uff1a</p> YAML<pre><code># mkdocs.yml\nextra:\n  nav_links:\n    - title: GitHub\n      url: https://github.com/your/repo\n      icon: material/github\n      target: _blank\n    - title: \u6587\u6863\n      url: /docs/\n      icon: material/file-document\n</code></pre> CSS<pre><code>/* docs/stylesheets/nav.css */\n.nav-header {\n    display: flex;\n    align-items: center;\n    padding: 1rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.nav-logo {\n    width: 32px;\n    height: 32px;\n    margin-right: 0.8rem;\n}\n\n.nav-items {\n    list-style: none;\n    padding: 0;\n    margin: 0;\n}\n\n.nav-item {\n    margin: 0.2rem 0;\n}\n\n.nav-link {\n    display: flex;\n    align-items: center;\n    padding: 0.8rem 1rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    transition: background-color 0.2s ease;\n}\n\n.nav-link:hover {\n    background-color: var(--md-code-bg-color);\n}\n\n.nav-icon {\n    margin-right: 0.8rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n\n/* \u81ea\u5b9a\u4e49\u5bfc\u822a\u9879\u6837\u5f0f */\n.nav-item.custom .nav-link {\n    color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7212","title":"7.2.1.2 \u641c\u7d22\u6846\u4f4d\u7f6e","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/search.html --&gt;\n{% block search_box %}\n&lt;div class=\"md-search\" data-md-component=\"search\" role=\"dialog\"&gt;\n    &lt;label class=\"md-search__overlay\" for=\"__search\"&gt;&lt;/label&gt;\n    &lt;div class=\"md-search__inner\" role=\"search\"&gt;\n        &lt;!-- \u641c\u7d22\u8f93\u5165\u6846 --&gt;\n        &lt;form class=\"md-search__form\"&gt;\n            &lt;input\n                type=\"text\"\n                class=\"md-search__input\"\n                name=\"query\"\n                aria-label=\"\u641c\u7d22\"\n                placeholder=\"\u641c\u7d22\u6587\u6863...\"\n                autocapitalize=\"off\"\n                autocomplete=\"off\"\n                autocorrect=\"off\"\n                spellcheck=\"false\"\n                data-md-component=\"search-query\"\n            &gt;\n            &lt;!-- \u641c\u7d22\u5feb\u6377\u952e\u63d0\u793a --&gt;\n            &lt;div class=\"md-search__shortcuts\"&gt;\n                &lt;kbd&gt;Ctrl&lt;/kbd&gt; + &lt;kbd&gt;K&lt;/kbd&gt;\n            &lt;/div&gt;\n        &lt;/form&gt;\n\n        &lt;!-- \u641c\u7d22\u7ed3\u679c --&gt;\n        &lt;div class=\"md-search__output\"&gt;\n            &lt;div class=\"md-search__scrollwrap\" data-md-scrollfix&gt;\n                &lt;div class=\"md-search-result\" data-md-component=\"search-result\"&gt;\n                    &lt;div class=\"md-search-result__meta\"&gt;\n                        \u6b63\u5728\u641c\u7d22...\n                    &lt;/div&gt;\n                    &lt;ol class=\"md-search-result__list\"&gt;&lt;/ol&gt;\n                &lt;/div&gt;\n            &lt;/div&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/div&gt;\n</code></pre> <p>\u6837\u5f0f\u5b9a\u5236\uff1a</p> CSS<pre><code>/* docs/stylesheets/search.css */\n/* \u641c\u7d22\u6846\u5bb9\u5668 */\n.md-search {\n    margin: 0 1rem;\n    padding: 0;\n    position: relative;\n}\n\n/* \u641c\u7d22\u8f93\u5165\u6846 */\n.md-search__input {\n    width: 100%;\n    height: 2.4rem;\n    padding: 0 2.4rem;\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color);\n    background-color: var(--md-default-bg-color);\n    border: 1px solid var(--md-default-fg-color--lightest);\n    border-radius: 1.2rem;\n}\n\n/* \u641c\u7d22\u56fe\u6807 */\n.md-search__icon {\n    position: absolute;\n    left: 0.8rem;\n    top: 50%;\n    transform: translateY(-50%);\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u5feb\u6377\u952e\u63d0\u793a */\n.md-search__shortcuts {\n    position: absolute;\n    right: 0.8rem;\n    top: 50%;\n    transform: translateY(-50%);\n    display: flex;\n    gap: 0.2rem;\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u641c\u7d22\u7ed3\u679c\u5bb9\u5668 */\n.md-search__output {\n    position: absolute;\n    top: 100%;\n    width: 100%;\n    margin-top: 0.4rem;\n    background-color: var(--md-default-bg-color);\n    border-radius: 0.2rem;\n    box-shadow: var(--md-shadow-z2);\n    overflow: auto;\n    z-index: 1;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7213","title":"7.2.1.3 \u79fb\u52a8\u7aef\u9002\u914d","text":"CSS<pre><code>/* \u79fb\u52a8\u7aef\u5bfc\u822a\u6837\u5f0f */\n@media screen and (max-width: 76.1875em) {\n    /* \u5bfc\u822a\u5207\u6362\u6309\u94ae */\n    .md-header-nav__button.md-icon {\n        padding: 0.4rem;\n        margin: 0.4rem;\n    }\n\n    /* \u5bfc\u822a\u62bd\u5c49 */\n    .md-nav--primary {\n        position: fixed;\n        top: 0;\n        left: -18rem;\n        width: 18rem;\n        height: 100%;\n        background-color: var(--md-default-bg-color);\n        transition: left 0.25s;\n        z-index: 2;\n    }\n\n    /* \u5bfc\u822a\u62bd\u5c49\u6253\u5f00\u72b6\u6001 */\n    .md-nav--primary.md-nav--opened {\n        left: 0;\n    }\n\n    /* \u641c\u7d22\u6846\u5168\u5c4f */\n    .md-search__inner {\n        position: fixed;\n        top: 0;\n        left: 0;\n        width: 100%;\n        height: 100%;\n        padding: 1rem;\n        background-color: var(--md-default-bg-color);\n        z-index: 3;\n    }\n\n    /* \u641c\u7d22\u7ed3\u679c\u5168\u5c4f */\n    .md-search__output {\n        position: fixed;\n        top: 4rem;\n        height: calc(100% - 4rem);\n    }\n}\n\n/* \u5e73\u677f\u9002\u914d */\n@media screen and (min-width: 76.25em) and (max-width: 96.25em) {\n    .md-nav--primary {\n        width: 16rem;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#722","title":"7.2.2 \u9875\u811a","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/footer.html --&gt;\n&lt;footer class=\"md-footer\"&gt;\n    &lt;div class=\"md-footer-meta md-typeset\"&gt;\n        &lt;div class=\"md-footer-meta__inner md-grid\"&gt;\n            &lt;!-- \u7248\u6743\u4fe1\u606f --&gt;\n            &lt;div class=\"md-footer-copyright\"&gt;\n                {% if config.copyright %}\n                &lt;div class=\"md-footer-copyright__highlight\"&gt;\n                    {{ config.copyright }}\n                &lt;/div&gt;\n                {% endif %}\n\n                &lt;!-- \u6784\u5efa\u4fe1\u606f --&gt;\n                &lt;div class=\"md-footer-build\"&gt;\n                    Documentation built with\n                    &lt;a href=\"https://www.mkdocs.org\" target=\"_blank\" rel=\"noopener\"&gt;\n                        MkDocs\n                    &lt;/a&gt;\n                    and\n                    &lt;a href=\"https://squidfunk.github.io/mkdocs-material/\" target=\"_blank\" rel=\"noopener\"&gt;\n                        Material for MkDocs\n                    &lt;/a&gt;\n                &lt;/div&gt;\n            &lt;/div&gt;\n\n            &lt;!-- \u793e\u4ea4\u94fe\u63a5 --&gt;\n            {% if config.extra.social %}\n            &lt;div class=\"md-footer-social\"&gt;\n                {% for social in config.extra.social %}\n                &lt;a href=\"{{ social.link }}\" \n                   target=\"_blank\" \n                   rel=\"noopener\" \n                   title=\"{{ social.name }}\"\n                   class=\"md-footer-social__link\"&gt;\n                    {% include \".icons/\" ~ social.icon ~ \".svg\" %}\n                &lt;/a&gt;\n                {% endfor %}\n            &lt;/div&gt;\n            {% endif %}\n\n            &lt;!-- \u5907\u6848\u4fe1\u606f --&gt;\n            {% if config.extra.icp %}\n            &lt;div class=\"md-footer-icp\"&gt;\n                &lt;a href=\"https://beian.miit.gov.cn/\" target=\"_blank\" rel=\"noopener\"&gt;\n                    {{ config.extra.icp }}\n                &lt;/a&gt;\n            &lt;/div&gt;\n            {% endif %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/footer&gt;\n</code></pre> <p>\u914d\u7f6e\uff1a</p> YAML<pre><code># mkdocs.yml\ncopyright: Copyright &amp;copy; 2024 Your Name\nextra:\n  social:\n    - icon: material/github\n      name: GitHub\n      link: https://github.com/your-username\n    - icon: material/twitter\n      name: Twitter\n      link: https://twitter.com/your-username\n  icp: \u4eacICP\u5907xxxxxxxx\u53f7\n</code></pre> <p>\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/footer.css */\n.md-footer {\n    background-color: var(--md-default-bg-color);\n    color: var(--md-default-fg-color);\n    padding: 2rem 0;\n    border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.md-footer-meta__inner {\n    display: flex;\n    flex-wrap: wrap;\n    justify-content: space-between;\n    align-items: center;\n    gap: 1rem;\n}\n\n/* \u7248\u6743\u4fe1\u606f */\n.md-footer-copyright {\n    font-size: 0.8rem;\n}\n\n.md-footer-copyright__highlight {\n    margin-bottom: 0.5rem;\n}\n\n.md-footer-build {\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u793e\u4ea4\u94fe\u63a5 */\n.md-footer-social {\n    display: flex;\n    gap: 1rem;\n}\n\n.md-footer-social__link {\n    width: 2rem;\n    height: 2rem;\n    display: flex;\n    align-items: center;\n    justify-content: center;\n    color: var(--md-default-fg-color);\n    border-radius: 50%;\n    transition: all 0.2s ease;\n}\n\n.md-footer-social__link:hover {\n    background-color: var(--md-code-bg-color);\n    color: var(--md-accent-fg-color);\n}\n\n/* \u5907\u6848\u4fe1\u606f */\n.md-footer-icp {\n    width: 100%;\n    text-align: center;\n    margin-top: 1rem;\n    font-size: 0.8rem;\n}\n\n.md-footer-icp a {\n    color: var(--md-default-fg-color--light);\n    text-decoration: none;\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .md-footer-meta__inner {\n        flex-direction: column;\n        text-align: center;\n    }\n\n    .md-footer-social {\n        justify-content: center;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#723","title":"7.2.3 \u641c\u7d22\u6846","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/search-modal.html --&gt;\n&lt;div class=\"md-search-modal\" data-md-component=\"search-modal\"&gt;\n    &lt;div class=\"md-search-modal__overlay\" data-md-component=\"search-modal-overlay\"&gt;&lt;/div&gt;\n\n    &lt;div class=\"md-search-modal__inner\"&gt;\n        &lt;!-- \u641c\u7d22\u5934\u90e8 --&gt;\n        &lt;header class=\"md-search-modal__header\"&gt;\n            &lt;form class=\"md-search-modal__form\"&gt;\n                &lt;input\n                    type=\"text\"\n                    class=\"md-search-modal__input\"\n                    name=\"query\"\n                    placeholder=\"\u641c\u7d22\u6587\u6863...\"\n                    data-md-component=\"search-query\"\n                    autocapitalize=\"off\"\n                    autocomplete=\"off\"\n                    autocorrect=\"off\"\n                    spellcheck=\"false\"\n                &gt;\n                &lt;!-- \u5feb\u6377\u952e\u63d0\u793a --&gt;\n                &lt;div class=\"md-search-modal__shortcuts\"&gt;\n                    &lt;kbd&gt;\u2191&lt;/kbd&gt;&lt;kbd&gt;\u2193&lt;/kbd&gt; \u9009\u62e9\n                    &lt;kbd&gt;\u21b5&lt;/kbd&gt; \u6253\u5f00\n                    &lt;kbd&gt;ESC&lt;/kbd&gt; \u5173\u95ed\n                &lt;/div&gt;\n            &lt;/form&gt;\n        &lt;/header&gt;\n\n        &lt;!-- \u641c\u7d22\u7ed3\u679c --&gt;\n        &lt;main class=\"md-search-modal__body\"&gt;\n            &lt;div class=\"md-search-modal__scrollwrap\"&gt;\n                &lt;div class=\"md-search-modal__meta\"&gt;\n                    \u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22\n                &lt;/div&gt;\n\n                &lt;div class=\"md-search-modal__results\"&gt;\n                    &lt;!-- \u641c\u7d22\u7ed3\u679c\u5217\u8868 --&gt;\n                    &lt;div class=\"md-search-modal__list\"&gt;&lt;/div&gt;\n\n                    &lt;!-- \u641c\u7d22\u5efa\u8bae --&gt;\n                    &lt;div class=\"md-search-modal__suggestions\"&gt;\n                        &lt;h3&gt;\u60a8\u53ef\u80fd\u611f\u5174\u8da3\uff1a&lt;/h3&gt;\n                        &lt;div class=\"suggestions-list\"&gt;\n                            &lt;!-- \u52a8\u6001\u751f\u6210\u7684\u5efa\u8bae\u5217\u8868 --&gt;\n                        &lt;/div&gt;\n                    &lt;/div&gt;\n                &lt;/div&gt;\n            &lt;/div&gt;\n        &lt;/main&gt;\n    &lt;/div&gt;\n&lt;/div&gt;\n</code></pre> <p>\u641c\u7d22\u529f\u80fd\u811a\u672c\uff1a</p> JavaScript<pre><code>// docs/javascripts/search.js\nclass SearchModal {\n    constructor() {\n        this.modal = document.querySelector('.md-search-modal');\n        this.overlay = document.querySelector('.md-search-modal__overlay');\n        this.input = document.querySelector('.md-search-modal__input');\n        this.resultsList = document.querySelector('.md-search-modal__list');\n        this.suggestions = document.querySelector('.md-search-modal__suggestions');\n\n        this.searchIndex = null;\n        this.searchResults = [];\n        this.currentFocus = -1;\n\n        this.init();\n    }\n\n    init() {\n        // \u521d\u59cb\u5316\u641c\u7d22\u7d22\u5f15\n        this.buildSearchIndex();\n        // \u7ed1\u5b9a\u4e8b\u4ef6\n        this.bindEvents();\n        // \u8bbe\u7f6e\u5feb\u6377\u952e\n        this.setupShortcuts();\n    }\n\n    async buildSearchIndex() {\n        // \u6784\u5efa\u641c\u7d22\u7d22\u5f15\n        const response = await fetch('/search/search_index.json');\n        const data = await response.json();\n\n        // \u4f7f\u7528 lunr.js \u6784\u5efa\u7d22\u5f15\n        this.searchIndex = lunr(function() {\n            this.field('title', { boost: 10 });\n            this.field('text');\n            this.ref('location');\n\n            data.docs.forEach(function(doc) {\n                this.add(doc);\n            }, this);\n        });\n    }\n\n    bindEvents() {\n        // \u641c\u7d22\u6846\u8f93\u5165\u4e8b\u4ef6\n        this.input.addEventListener('input', debounce(() =&gt; {\n            const query = this.input.value;\n            if (query.length &gt;= 2) {\n                this.performSearch(query);\n            } else {\n                this.clearResults();\n            }\n        }, 200));\n\n        // \u641c\u7d22\u7ed3\u679c\u5bfc\u822a\n        this.input.addEventListener('keydown', (e) =&gt; {\n            switch (e.key) {\n                case 'ArrowUp':\n                    e.preventDefault();\n                    this.navigateResults('up');\n                    break;\n                case 'ArrowDown':\n                    e.preventDefault();\n                    this.navigateResults('down');\n                    break;\n                case 'Enter':\n                    e.preventDefault();\n                    this.openResult();\n                    break;\n                case 'Escape':\n                    e.preventDefault();\n                    this.closeModal();\n                    break;\n            }\n        });\n\n        // \u70b9\u51fb\u906e\u7f69\u5173\u95ed\n        this.overlay.addEventListener('click', () =&gt; this.closeModal());\n    }\n\n    setupShortcuts() {\n        // \u5168\u5c40\u641c\u7d22\u5feb\u6377\u952e\n        document.addEventListener('keydown', (e) =&gt; {\n            // Ctrl/Cmd + K \u6253\u5f00\u641c\u7d22\n            if ((e.ctrlKey || e.metaKey) &amp;&amp; e.key === 'k') {\n                e.preventDefault();\n                this.openModal();\n            }\n        });\n    }\n\n    async performSearch(query) {\n        if (!this.searchIndex) return;\n\n        // \u6267\u884c\u641c\u7d22\n        this.searchResults = this.searchIndex.search(query).map(result =&gt; {\n            return {\n                ref: result.ref,\n                score: result.score,\n                ...this.getDocumentByRef(result.ref)\n            };\n        });\n\n        // \u6e32\u67d3\u7ed3\u679c\n        this.renderResults();\n        // \u66f4\u65b0\u5efa\u8bae\n        this.updateSuggestions(query);\n    }\n\n    renderResults() {\n        this.resultsList.innerHTML = this.searchResults\n            .map((result, index) =&gt; `\n                &lt;div class=\"search-result-item ${index === this.currentFocus ? 'focused' : ''}\"\n                     data-index=\"${index}\"&gt;\n                    &lt;div class=\"result-title\"&gt;${this.highlightText(result.title)}&lt;/div&gt;\n                    &lt;div class=\"result-excerpt\"&gt;${this.highlightText(result.excerpt)}&lt;/div&gt;\n                    &lt;div class=\"result-location\"&gt;${result.location}&lt;/div&gt;\n                &lt;/div&gt;\n            `)\n            .join('');\n    }\n\n    highlightText(text) {\n        const query = this.input.value;\n        if (!query) return text;\n\n        const regex = new RegExp(`(${query})`, 'gi');\n        return text.replace(regex, '&lt;mark&gt;$1&lt;/mark&gt;');\n    }\n\n    updateSuggestions(query) {\n        // \u6839\u636e\u641c\u7d22\u5386\u53f2\u548c\u70ed\u95e8\u641c\u7d22\u751f\u6210\u5efa\u8bae\n        const suggestions = this.generateSuggestions(query);\n\n        this.suggestions.innerHTML = suggestions\n            .map(suggestion =&gt; `\n                &lt;div class=\"suggestion-item\" data-query=\"${suggestion.query}\"&gt;\n                    &lt;span class=\"suggestion-icon\"&gt;\n                        ${suggestion.type === 'history' ? '\u23f1\ufe0f' : '\ud83d\udd25'}\n                    &lt;/span&gt;\n                    ${suggestion.query}\n                &lt;/div&gt;\n            `)\n            .join('');\n    }\n\n    navigateResults(direction) {\n        const maxIndex = this.searchResults.length - 1;\n\n        if (direction === 'up') {\n            this.currentFocus = this.currentFocus &gt; 0 ? this.currentFocus - 1 : maxIndex;\n        } else {\n            this.currentFocus = this.currentFocus &lt; maxIndex ? this.currentFocus + 1 : 0;\n        }\n\n        this.renderResults();\n        this.scrollToFocused();\n    }\n\n    scrollToFocused() {\n        const focused = this.resultsList.querySelector('.focused');\n        if (focused) {\n            focused.scrollIntoView({\n                behavior: 'smooth',\n                block: 'nearest'\n            });\n        }\n    }\n\n    openResult() {\n        const result = this.searchResults[this.currentFocus];\n        if (result) {\n            window.location.href = result.location;\n        }\n    }\n\n    openModal() {\n        this.modal.classList.add('active');\n        this.input.focus();\n        document.body.style.overflow = 'hidden';\n    }\n\n    closeModal() {\n        this.modal.classList.remove('active');\n        this.input.value = '';\n        this.clearResults();\n        document.body.style.overflow = '';\n    }\n\n    clearResults() {\n        this.searchResults = [];\n        this.currentFocus = -1;\n        this.resultsList.innerHTML = '';\n        this.suggestions.innerHTML = '';\n    }\n}\n\n// \u521d\u59cb\u5316\u641c\u7d22\u529f\u80fd\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new SearchModal();\n});\n</code></pre> <p>\u641c\u7d22\u6846\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/search-modal.css */\n.md-search-modal {\n    position: fixed;\n    top: 0;\n    left: 0;\n    width: 100%;\n    height: 100%;\n    z-index: 1000;\n    opacity: 0;\n    visibility: hidden;\n    transition: all 0.2s ease;\n}\n\n.md-search-modal.active {\n    opacity: 1;\n    visibility: visible;\n}\n\n.md-search-modal__overlay {\n    position: absolute;\n    top: 0;\n    left: 0;\n    width: 100%;\n    height: 100%;\n    background: rgba(0, 0, 0, 0.5);\n    backdrop-filter: blur(4px);\n}\n\n.md-search-modal__inner {\n    position: relative;\n    width: 90%;\n    max-width: 800px;\n    margin: 2rem auto;\n    background: var(--md-default-bg-color);\n    border-radius: 8px;\n    box-shadow: var(--md-shadow-z3);\n}\n\n/* \u641c\u7d22\u7ed3\u679c\u6837\u5f0f */\n.search-result-item {\n    padding: 1rem;\n    cursor: pointer;\n    transition: background 0.2s ease;\n}\n\n.search-result-item:hover,\n.search-result-item.focused {\n    background: var(--md-code-bg-color);\n}\n\n.result-title {\n    font-size: 1.1rem;\n    font-weight: 500;\n    margin-bottom: 0.5rem;\n}\n\n.result-excerpt {\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n    margin-bottom: 0.5rem;\n}\n\n.result-location {\n    font-size: 0.8rem;\n    color: var(--md-accent-fg-color);\n}\n\n/* \u9ad8\u4eae\u5339\u914d\u6587\u672c */\nmark {\n    background: var(--md-accent-fg-color);\n    color: white;\n    padding: 0 0.2rem;\n    border-radius: 2px;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#724","title":"7.2.4 \u76ee\u5f55","text":""},{"location":"Technology/mkdocs%20material/#7241","title":"7.2.4.1 \u76ee\u5f55\u7ed3\u6784","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/toc.html --&gt;\n&lt;nav class=\"md-toc\" aria-label=\"\u76ee\u5f55\"&gt;\n    &lt;div class=\"md-toc__header\"&gt;\n        &lt;h2 class=\"md-toc__title\"&gt;\u76ee\u5f55&lt;/h2&gt;\n        &lt;button class=\"md-toc__toggle\" aria-label=\"\u5c55\u5f00/\u6536\u8d77\"&gt;\n            {% include \".icons/material/chevron-down.svg\" %}\n        &lt;/button&gt;\n    &lt;/div&gt;\n\n    &lt;div class=\"md-toc__inner\"&gt;\n        {% set toc = page.toc %}\n        &lt;ul class=\"md-toc__list\"&gt;\n            {% for toc_item in toc %}\n                {% include \"partials/toc-item.html\" %}\n            {% endfor %}\n        &lt;/ul&gt;\n    &lt;/div&gt;\n&lt;/nav&gt;\n\n&lt;!-- docs/overrides/partials/toc-item.html --&gt;\n&lt;li class=\"md-toc__item\"&gt;\n    &lt;a href=\"{{ toc_item.url }}\" class=\"md-toc__link\"&gt;\n        {{ toc_item.title }}\n    &lt;/a&gt;\n\n    {% if toc_item.children %}\n    &lt;ul class=\"md-toc__list\"&gt;\n        {% for toc_item in toc_item.children %}\n            {% include \"partials/toc-item.html\" %}\n        {% endfor %}\n    &lt;/ul&gt;\n    {% endif %}\n&lt;/li&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7242","title":"7.2.4.2 \u6eda\u52a8\u540c\u6b65","text":"JavaScript<pre><code>// docs/javascripts/toc.js\nclass TableOfContents {\n    constructor() {\n        this.toc = document.querySelector('.md-toc');\n        this.tocLinks = this.toc.querySelectorAll('.md-toc__link');\n        this.headings = document.querySelectorAll('h1[id], h2[id], h3[id], h4[id], h5[id], h6[id]');\n        this.intersectionObserver = null;\n\n        this.init();\n    }\n\n    init() {\n        this.setupIntersectionObserver();\n        this.setupScrollSpy();\n        this.setupToggle();\n    }\n\n    setupIntersectionObserver() {\n        this.intersectionObserver = new IntersectionObserver(\n            (entries) =&gt; {\n                entries.forEach(entry =&gt; {\n                    if (entry.isIntersecting) {\n                        const id = entry.target.getAttribute('id');\n                        this.highlightTocItem(id);\n                    }\n                });\n            },\n            {\n                rootMargin: '0px 0px -80% 0px'\n            }\n        );\n\n        this.headings.forEach(heading =&gt; {\n            this.intersectionObserver.observe(heading);\n        });\n    }\n\n    setupScrollSpy() {\n        this.tocLinks.forEach(link =&gt; {\n            link.addEventListener('click', (e) =&gt; {\n                e.preventDefault();\n                const id = link.getAttribute('href').substring(1);\n                const target = document.getElementById(id);\n\n                if (target) {\n                    window.scrollTo({\n                        top: target.offsetTop - 100,\n                        behavior: 'smooth'\n                    });\n\n                    // \u66f4\u65b0 URL\n                    history.pushState(null, null, `#${id}`);\n                }\n            });\n        });\n    }\n\n    highlightTocItem(id) {\n        // \u79fb\u9664\u6240\u6709\u9ad8\u4eae\n        this.tocLinks.forEach(link =&gt; {\n            link.classList.remove('active');\n        });\n\n        // \u6dfb\u52a0\u65b0\u9ad8\u4eae\n        const activeLink = this.toc.querySelector(`a[href=\"#${id}\"]`);\n        if (activeLink) {\n            activeLink.classList.add('active');\n            this.expandParents(activeLink);\n        }\n    }\n\n    expandParents(element) {\n        let parent = element.parentElement;\n        while (parent &amp;&amp; parent.classList.contains('md-toc__item')) {\n            const list = parent.querySelector('.md-toc__list');\n            if (list) {\n                list.style.height = 'auto';\n                parent.classList.add('expanded');\n            }\n            parent = parent.parentElement;\n        }\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7243","title":"7.2.4.3 \u5c55\u5f00\u6536\u8d77","text":"JavaScript<pre><code>setupToggle() {\n    const toggleButton = this.toc.querySelector('.md-toc__toggle');\n    const tocInner = this.toc.querySelector('.md-toc__inner');\n\n    toggleButton?.addEventListener('click', () =&gt; {\n        const isExpanded = this.toc.classList.contains('expanded');\n\n        if (isExpanded) {\n            this.toc.classList.remove('expanded');\n            tocInner.style.height = '0';\n        } else {\n            this.toc.classList.add('expanded');\n            tocInner.style.height = tocInner.scrollHeight + 'px';\n        }\n    });\n\n    // \u6dfb\u52a0\u5c55\u5f00/\u6536\u8d77\u6240\u6709\u6309\u94ae\n    const expandAllButton = document.createElement('button');\n    expandAllButton.className = 'md-toc__expand-all';\n    expandAllButton.innerHTML = '\u5c55\u5f00\u5168\u90e8';\n    expandAllButton.addEventListener('click', () =&gt; this.toggleAll(true));\n\n    const collapseAllButton = document.createElement('button');\n    collapseAllButton.className = 'md-toc__collapse-all';\n    collapseAllButton.innerHTML = '\u6536\u8d77\u5168\u90e8';\n    collapseAllButton.addEventListener('click', () =&gt; this.toggleAll(false));\n\n    const buttonGroup = document.createElement('div');\n    buttonGroup.className = 'md-toc__button-group';\n    buttonGroup.appendChild(expandAllButton);\n    buttonGroup.appendChild(collapseAllButton);\n\n    this.toc.querySelector('.md-toc__header').appendChild(buttonGroup);\n}\n\ntoggleAll(expand) {\n    const lists = this.toc.querySelectorAll('.md-toc__list');\n    lists.forEach(list =&gt; {\n        if (expand) {\n            list.style.height = 'auto';\n            list.parentElement.classList.add('expanded');\n        } else {\n            list.style.height = '0';\n            list.parentElement.classList.remove('expanded');\n        }\n    });\n}\n</code></pre> <p>\u76ee\u5f55\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/toc.css */\n.md-toc {\n    position: sticky;\n    top: 4rem;\n    padding: 1rem;\n    max-height: calc(100vh - 4rem);\n    overflow-y: auto;\n    background: var(--md-default-bg-color);\n    border-left: 1px solid var(--md-default-fg-color--lightest);\n    font-size: 0.8rem;\n}\n\n/* \u76ee\u5f55\u5934\u90e8 */\n.md-toc__header {\n    display: flex;\n    justify-content: space-between;\n    align-items: center;\n    margin-bottom: 1rem;\n    padding-bottom: 0.5rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.md-toc__title {\n    font-size: 1rem;\n    font-weight: 600;\n    margin: 0;\n}\n\n.md-toc__button-group {\n    display: flex;\n    gap: 0.5rem;\n}\n\n.md-toc__button-group button {\n    padding: 0.2rem 0.5rem;\n    font-size: 0.7rem;\n    color: var(--md-default-fg-color--light);\n    background: var(--md-code-bg-color);\n    border: none;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.md-toc__button-group button:hover {\n    color: var(--md-accent-fg-color);\n    background: var(--md-code-bg-color--light);\n}\n\n/* \u76ee\u5f55\u5217\u8868 */\n.md-toc__list {\n    list-style: none;\n    padding: 0;\n    margin: 0;\n}\n\n.md-toc__item {\n    margin: 0.2rem 0;\n}\n\n/* \u76ee\u5f55\u94fe\u63a5 */\n.md-toc__link {\n    display: block;\n    padding: 0.2rem 0;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    transition: all 0.2s ease;\n    border-radius: 4px;\n}\n\n.md-toc__link:hover {\n    color: var(--md-accent-fg-color);\n    background: var(--md-code-bg-color);\n    padding-left: 0.5rem;\n}\n\n/* \u5f53\u524d\u6fc0\u6d3b\u9879 */\n.md-toc__link.active {\n    color: var(--md-accent-fg-color);\n    font-weight: 500;\n    background: var(--md-code-bg-color);\n    padding-left: 0.5rem;\n}\n\n/* \u5d4c\u5957\u5c42\u7ea7 */\n.md-toc__item .md-toc__list {\n    margin-left: 1rem;\n    border-left: 1px solid var(--md-default-fg-color--lightest);\n    overflow: hidden;\n    height: 0;\n    transition: height 0.3s ease;\n}\n\n.md-toc__item.expanded &gt; .md-toc__list {\n    height: auto;\n}\n\n/* \u6298\u53e0\u6307\u793a\u5668 */\n.md-toc__item &gt; .md-toc__link::before {\n    content: '';\n    display: inline-block;\n    width: 0.8rem;\n    height: 0.8rem;\n    margin-right: 0.2rem;\n    background-image: url('data:image/svg+xml,&lt;svg xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 24 24\"&gt;&lt;path d=\"M8.59 16.59L13.17 12 8.59 7.41 10 6l6 6-6 6-1.41-1.41z\"/&gt;&lt;/svg&gt;');\n    background-size: contain;\n    transform: rotate(0);\n    transition: transform 0.3s ease;\n}\n\n.md-toc__item.expanded &gt; .md-toc__link::before {\n    transform: rotate(90deg);\n}\n\n/* \u6eda\u52a8\u6761\u6837\u5f0f */\n.md-toc::-webkit-scrollbar {\n    width: 4px;\n}\n\n.md-toc::-webkit-scrollbar-track {\n    background: transparent;\n}\n\n.md-toc::-webkit-scrollbar-thumb {\n    background: var(--md-default-fg-color--lighter);\n    border-radius: 2px;\n}\n\n/* \u54cd\u5e94\u5f0f\u8bbe\u8ba1 */\n@media screen and (max-width: 76.1875em) {\n    .md-toc {\n        position: fixed;\n        top: 0;\n        right: -18rem;\n        width: 18rem;\n        height: 100vh;\n        max-height: none;\n        margin: 0;\n        padding: 1rem;\n        background: var(--md-default-bg-color);\n        border-left: 1px solid var(--md-default-fg-color--lightest);\n        box-shadow: var(--md-shadow-z3);\n        transition: right 0.3s ease;\n        z-index: 3;\n    }\n\n    .md-toc.expanded {\n        right: 0;\n    }\n\n    /* \u79fb\u52a8\u7aef\u8986\u76d6\u5c42 */\n    .md-toc-overlay {\n        display: none;\n        position: fixed;\n        top: 0;\n        left: 0;\n        width: 100%;\n        height: 100%;\n        background: rgba(0, 0, 0, 0.3);\n        z-index: 2;\n    }\n\n    .md-toc.expanded + .md-toc-overlay {\n        display: block;\n    }\n}\n\n/* \u5e73\u677f\u9002\u914d */\n@media screen and (min-width: 76.25em) and (max-width: 96.25em) {\n    .md-toc {\n        padding: 0.8rem;\n    }\n\n    .md-toc__list {\n        margin-left: 0.8rem;\n    }\n}\n</code></pre> <p>\u5b8c\u6574\u7684\u76ee\u5f55\u529f\u80fd\u5b9e\u73b0\uff1a</p> JavaScript<pre><code>// docs/javascripts/toc.js\nclass TableOfContents {\n    constructor() {\n        this.toc = document.querySelector('.md-toc');\n        this.tocLinks = this.toc.querySelectorAll('.md-toc__link');\n        this.headings = document.querySelectorAll('h1[id], h2[id], h3[id], h4[id], h5[id], h6[id]');\n        this.intersectionObserver = null;\n        this.isScrolling = false;\n        this.scrollTimeout = null;\n\n        this.init();\n    }\n\n    init() {\n        this.setupIntersectionObserver();\n        this.setupScrollSpy();\n        this.setupToggle();\n        this.setupMobileToggle();\n        this.handleInitialHash();\n    }\n\n    handleInitialHash() {\n        // \u5904\u7406\u9875\u9762\u52a0\u8f7d\u65f6\u7684 hash\n        if (window.location.hash) {\n            const id = window.location.hash.substring(1);\n            const target = document.getElementById(id);\n            if (target) {\n                setTimeout(() =&gt; {\n                    target.scrollIntoView();\n                    this.highlightTocItem(id);\n                }, 100);\n            }\n        }\n    }\n\n    setupMobileToggle() {\n        // \u521b\u5efa\u79fb\u52a8\u7aef\u5f00\u5173\u6309\u94ae\n        const toggleButton = document.createElement('button');\n        toggleButton.className = 'md-toc-toggle';\n        toggleButton.innerHTML = `\n            &lt;span class=\"md-toc-toggle__icon\"&gt;\n                {% include \".icons/material/menu.svg\" %}\n            &lt;/span&gt;\n        `;\n\n        // \u521b\u5efa\u906e\u7f69\u5c42\n        const overlay = document.createElement('div');\n        overlay.className = 'md-toc-overlay';\n\n        document.body.appendChild(toggleButton);\n        document.body.appendChild(overlay);\n\n        // \u7ed1\u5b9a\u4e8b\u4ef6\n        toggleButton.addEventListener('click', () =&gt; {\n            this.toc.classList.toggle('expanded');\n            document.body.style.overflow = this.toc.classList.contains('expanded') ? 'hidden' : '';\n        });\n\n        overlay.addEventListener('click', () =&gt; {\n            this.toc.classList.remove('expanded');\n            document.body.style.overflow = '';\n        });\n    }\n\n    updateTocHeight() {\n        const lists = this.toc.querySelectorAll('.md-toc__list');\n        lists.forEach(list =&gt; {\n            if (list.parentElement.classList.contains('expanded')) {\n                list.style.height = list.scrollHeight + 'px';\n            }\n        });\n    }\n\n    onResize() {\n        // \u76d1\u542c\u7a97\u53e3\u5927\u5c0f\u53d8\u5316\uff0c\u66f4\u65b0\u76ee\u5f55\u9ad8\u5ea6\n        window.addEventListener('resize', debounce(() =&gt; {\n            this.updateTocHeight();\n        }, 100));\n    }\n}\n\n// \u5de5\u5177\u51fd\u6570\nfunction debounce(fn, delay) {\n    let timer = null;\n    return function(...args) {\n        clearTimeout(timer);\n        timer = setTimeout(() =&gt; fn.apply(this, args), delay);\n    };\n}\n\n// \u521d\u59cb\u5316\u76ee\u5f55\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new TableOfContents();\n});\n</code></pre> <p>\u4f7f\u7528\u8fd9\u4e9b\u4ee3\u7801\uff0c\u9700\u8981\u5728 <code>mkdocs.yml</code> \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  custom_dir: docs/overrides\n  features:\n    - toc.integrate\n    - toc.follow\n\nextra_css:\n  - stylesheets/toc.css\n\nextra_javascript:\n  - javascripts/toc.js\n</code></pre> <p>\u8fd9\u6837\u5c31\u5b8c\u6210\u4e86\u4e00\u4e2a\u529f\u80fd\u5b8c\u6574\u3001\u4ea4\u4e92\u53cb\u597d\u7684\u76ee\u5f55\u5bfc\u822a\u7cfb\u7edf\uff0c\u4e3b\u8981\u7279\u70b9\u5305\u62ec\uff1a</p> <ol> <li>\u81ea\u52a8\u9ad8\u4eae\u5f53\u524d\u9605\u8bfb\u4f4d\u7f6e</li> <li>\u5e73\u6ed1\u6eda\u52a8\u5230\u76ee\u6807\u4f4d\u7f6e</li> <li>\u652f\u6301\u5c55\u5f00/\u6536\u8d77\u529f\u80fd</li> <li>\u79fb\u52a8\u7aef\u81ea\u9002\u5e94\u5e03\u5c40</li> <li>\u4f18\u96c5\u7684\u52a8\u753b\u6548\u679c</li> <li>\u826f\u597d\u7684\u53ef\u8bbf\u95ee\u6027\u652f\u6301</li> <li>\u6027\u80fd\u4f18\u5316\u8003\u8651</li> </ol>"},{"location":"Technology/mkdocs%20material/#8","title":"8 \u63d2\u4ef6\u4f7f\u7528","text":""},{"location":"Technology/mkdocs%20material/#81","title":"8.1 \u5fc5\u5907\u63d2\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#8111-search","title":"8.1.1.1 search","text":""},{"location":"Technology/mkdocs%20material/#8112","title":"8.1.1.2 \u57fa\u7840\u914d\u7f6e","text":"<ol> <li>\u5b89\u88c5\u641c\u7d22\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-material\n</code></pre> <ol> <li>\u914d\u7f6e\u641c\u7d22\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - search:\n      # \u641c\u7d22\u7d22\u5f15\u8bbe\u7f6e\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.]+'    # \u5206\u8bcd\u5206\u9694\u7b26\n      min_search_length: 2      # \u6700\u5c0f\u641c\u7d22\u957f\u5ea6\n      prebuild_index: true      # \u9884\u6784\u5efa\u7d22\u5f15\n\n      # \u641c\u7d22\u5185\u5bb9\u914d\u7f6e\n      indexing:\n        full_sections: true     # \u7d22\u5f15\u5b8c\u6574\u7ae0\u8282\n        headings: true         # \u7d22\u5f15\u6807\u9898\n        content: true         # \u7d22\u5f15\u5185\u5bb9\n        tags: true           # \u7d22\u5f15\u6807\u7b7e\n\n      # \u641c\u7d22\u7ed3\u679c\u6392\u5e8f\n      scoring:\n        title_boost: 10      # \u6807\u9898\u6743\u91cd\n        heading_boost: 5     # \u6807\u9898\u6743\u91cd\n        content_boost: 1     # \u5185\u5bb9\u6743\u91cd\n</code></pre> <ol> <li>\u641c\u7d22\u4e3b\u9898\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>theme:\n  features:\n    - search.highlight        # \u641c\u7d22\u9ad8\u4eae\n    - search.share           # \u641c\u7d22\u5206\u4eab\n    - search.suggest         # \u641c\u7d22\u5efa\u8bae\n\n  # \u641c\u7d22\u754c\u9762\u6587\u5b57\n  language: zh\n  palette:\n    - search:\n        placeholder: \u641c\u7d22\u6587\u6863\n        result:\n          no_results_text: \u672a\u627e\u5230\u76f8\u5173\u7ed3\u679c\n          searching_text: \u6b63\u5728\u641c\u7d22...\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8113","title":"8.1.1.3 \u4e2d\u6587\u641c\u7d22","text":"<ol> <li>\u4e2d\u6587\u5206\u8bcd\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - search:\n      jieba_dict: dict.txt   # \u81ea\u5b9a\u4e49\u8bcd\u5178\u8def\u5f84\n      jieba_dict_user: user_dict.txt  # \u7528\u6237\u8bcd\u5178\u8def\u5f84\n\n      # \u4e2d\u6587\u5206\u8bcd\u89c4\u5219\n      separator: '[\uff0c\u3002\uff01\uff1f,!?]+'\n\n      # \u4e2d\u6587\u505c\u7528\u8bcd\n      stopwords:\n        - \u7684\n        - \u4e86\n        - \u548c\n        - \u662f\n        - \u5c31\n        - \u90fd\n        - \u800c\n        - \u53ca\n        - \u4e0e\n        - \u8fd9\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u8bcd\u5178\u793a\u4f8b\uff08dict.txt\uff09\uff1a</li> </ol> Text Only<pre><code>\u6280\u672f\u6587\u6863 5\n\u5f00\u53d1\u6307\u5357 5\n\u6700\u4f73\u5b9e\u8df5 5\n\u4f7f\u7528\u6559\u7a0b 5\n\u914d\u7f6e\u8bf4\u660e 5\n\u5e38\u89c1\u95ee\u9898 5\n</code></pre> <ol> <li>\u5206\u8bcd\u4f18\u5316\u811a\u672c\uff1a</li> </ol> Python<pre><code># docs/search_optimize.py\nimport jieba\nimport json\nfrom pathlib import Path\n\ndef optimize_search_index(index_file, dict_file):\n    # \u52a0\u8f7d\u81ea\u5b9a\u4e49\u8bcd\u5178\n    jieba.load_userdict(dict_file)\n\n    # \u8bfb\u53d6\u641c\u7d22\u7d22\u5f15\n    with open(index_file, 'r', encoding='utf-8') as f:\n        index = json.load(f)\n\n    # \u4f18\u5316\u5206\u8bcd\n    for doc in index['docs']:\n        # \u5206\u8bcd\u5904\u7406\u6807\u9898\n        title_words = list(jieba.cut(doc['title']))\n        doc['title'] = ' '.join(title_words)\n\n        # \u5206\u8bcd\u5904\u7406\u5185\u5bb9\n        if 'text' in doc:\n            text_words = list(jieba.cut(doc['text']))\n            doc['text'] = ' '.join(text_words)\n\n    # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u7d22\u5f15\n    with open(index_file, 'w', encoding='utf-8') as f:\n        json.dump(index, f, ensure_ascii=False, indent=2)\n\nif __name__ == '__main__':\n    index_file = 'site/search/search_index.json'\n    dict_file = 'docs/dict.txt'\n    optimize_search_index(index_file, dict_file)\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8114","title":"8.1.1.4 \u641c\u7d22\u4f18\u5316","text":"<ol> <li>\u7d22\u5f15\u4f18\u5316\uff1a</li> </ol> Python<pre><code># docs/search_index_optimizer.py\nfrom pathlib import Path\nimport json\nimport re\n\nclass SearchIndexOptimizer:\n    def __init__(self, index_path):\n        self.index_path = Path(index_path)\n        self.index = self.load_index()\n\n    def load_index(self):\n        with open(self.index_path, 'r', encoding='utf-8') as f:\n            return json.load(f)\n\n    def save_index(self):\n        with open(self.index_path, 'w', encoding='utf-8') as f:\n            json.dump(self.index, f, ensure_ascii=False, indent=2)\n\n    def optimize(self):\n        # \u6e05\u7406\u65e0\u7528\u6570\u636e\n        self._clean_data()\n        # \u4f18\u5316\u6587\u672c\n        self._optimize_text()\n        # \u6dfb\u52a0\u6743\u91cd\n        self._add_weights()\n        # \u6784\u5efa\u53cd\u5411\u7d22\u5f15\n        self._build_inverted_index()\n        # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u7d22\u5f15\n        self.save_index()\n\n    def _clean_data(self):\n        # \u79fb\u9664\u7a7a\u6587\u6863\n        self.index['docs'] = [\n            doc for doc in self.index['docs']\n            if doc.get('text') or doc.get('title')\n        ]\n\n        # \u79fb\u9664\u91cd\u590d\u6587\u6863\n        seen = set()\n        unique_docs = []\n        for doc in self.index['docs']:\n            key = f\"{doc['location']}:{doc['title']}\"\n            if key not in seen:\n                seen.add(key)\n                unique_docs.append(doc)\n        self.index['docs'] = unique_docs\n\n    def _optimize_text(self):\n        for doc in self.index['docs']:\n            # \u6e05\u7406HTML\u6807\u7b7e\n            if 'text' in doc:\n                doc['text'] = re.sub(r'&lt;[^&gt;]+&gt;', '', doc['text'])\n\n            # \u538b\u7f29\u7a7a\u767d\u5b57\u7b26\n            for field in ['title', 'text']:\n                if field in doc:\n                    doc[field] = ' '.join(doc[field].split())\n\n    def _add_weights(self):\n        for doc in self.index['docs']:\n            # \u57fa\u7840\u6743\u91cd\n            doc['weight'] = 1.0\n\n            # \u6807\u9898\u957f\u5ea6\u6743\u91cd\n            if 'title' in doc:\n                title_len = len(doc['title'])\n                doc['weight'] *= 1 + (1.0 / (1 + title_len))\n\n            # \u6587\u672c\u957f\u5ea6\u6743\u91cd\n            if 'text' in doc:\n                text_len = len(doc['text'])\n                doc['weight'] *= 1 + (100.0 / (1 + text_len))\n\n            # URL\u6df1\u5ea6\u6743\u91cd\n            depth = doc['location'].count('/')\n            doc['weight'] *= 1 + (1.0 / (1 + depth))\n\n    def _build_inverted_index(self):\n        # \u6784\u5efa\u53cd\u5411\u7d22\u5f15\n        inverted_index = {}\n        for i, doc in enumerate(self.index['docs']):\n            terms = set()\n\n            # \u6dfb\u52a0\u6807\u9898\u8bcd\n            if 'title' in doc:\n                terms.update(doc['title'].lower().split())\n\n            # \u6dfb\u52a0\u6587\u672c\u8bcd\n            if 'text' in doc:\n                terms.update(doc['text'].lower().split())\n\n            # \u66f4\u65b0\u53cd\u5411\u7d22\u5f15\n            for term in terms:\n                if term not in inverted_index:\n                    inverted_index[term] = []\n                inverted_index[term].append({\n                    'id': i,\n                    'weight': doc['weight']\n                })\n\n        self.index['inverted_index'] = inverted_index\n\n# \u4f7f\u7528\u4f18\u5316\u5668\noptimizer = SearchIndexOptimizer('site/search/search_index.json')\noptimizer.optimize()\n</code></pre> <ol> <li>\u641c\u7d22\u6027\u80fd\u76d1\u63a7\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/search-monitor.js\nclass SearchMonitor {\n    constructor() {\n        this.metrics = {\n            searches: 0,\n            avgTime: 0,\n            slowest: 0,\n            fastest: Infinity\n        };\n\n        this.init();\n    }\n\n    init() {\n        this.monitorSearchInput();\n        this.monitorSearchResults();\n        this.setupReporting();\n    }\n\n    monitorSearchInput() {\n        const searchInput = document.querySelector('.md-search__input');\n        let startTime;\n\n        searchInput?.addEventListener('input', () =&gt; {\n            startTime = performance.now();\n        });\n\n        searchInput?.addEventListener('search', () =&gt; {\n            const endTime = performance.now();\n            const duration = endTime - startTime;\n\n            this.updateMetrics(duration);\n        });\n    }\n\n    updateMetrics(duration) {\n        this.metrics.searches++;\n        this.metrics.avgTime = (\n            (this.metrics.avgTime * (this.metrics.searches - 1) + duration) /\n            this.metrics.searches\n        );\n        this.metrics.slowest = Math.max(this.metrics.slowest, duration);\n        this.metrics.fastest = Math.min(this.metrics.fastest, duration);\n\n        // \u53d1\u9001\u7edf\u8ba1\u6570\u636e\n        this.sendMetrics();\n    }\n\n    sendMetrics() {\n        // \u53ef\u4ee5\u53d1\u9001\u5230\u7edf\u8ba1\u670d\u52a1\n        console.log('Search Metrics:', this.metrics);\n    }\n}\n\n// \u521d\u59cb\u5316\u76d1\u63a7\nnew SearchMonitor();\n</code></pre>"},{"location":"Technology/mkdocs%20material/#812-glightbox","title":"8.1.2 glightbox","text":""},{"location":"Technology/mkdocs%20material/#8121","title":"8.1.2.1 \u56fe\u7247\u9884\u89c8","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-glightbox\n</code></pre> <ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - glightbox:\n      # \u57fa\u7840\u8bbe\u7f6e\n      auto_caption: true              # \u81ea\u52a8\u6dfb\u52a0\u6807\u9898\n      caption_position: bottom        # \u6807\u9898\u4f4d\u7f6e\n      display_description: true       # \u663e\u793a\u63cf\u8ff0\n\n      # \u89e6\u6478\u8bbe\u7f6e\n      touchNavigation: true          # \u89e6\u6478\u5bfc\u822a\n      loop: true                    # \u5faa\u73af\u6d4f\u89c8\n      effect: zoom                  # \u8fc7\u6e21\u6548\u679c\n\n      # \u56fe\u7247\u8bbe\u7f6e\n      width: 100%                   # \u56fe\u7247\u5bbd\u5ea6\n      height: auto                  # \u56fe\u7247\u9ad8\u5ea6\n      zoomable: true               # \u542f\u7528\u7f29\u653e\n      draggable: true              # \u542f\u7528\u62d6\u52a8\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/glightbox.css */\n.glightbox-clean {\n    /* \u5bb9\u5668\u6837\u5f0f */\n    --glow-padding: 2rem;\n    --glow-bg: rgba(0, 0, 0, 0.95);\n\n    /* \u63a7\u5236\u6309\u94ae */\n    --glow-btn-color: rgba(255, 255, 255, 0.8);\n    --glow-btn-hover: #fff;\n\n    /* \u52a0\u8f7d\u52a8\u753b */\n    --glow-loading-bg: rgba(0, 0, 0, 0.5);\n    --glow-loading-width: 40px;\n    --glow-loading-height: 40px;\n}\n\n/* \u6807\u9898\u6837\u5f0f */\n.glightbox-caption {\n    font-family: var(--md-font-family);\n    font-size: 0.9rem;\n    padding: 1rem;\n    background: rgba(0, 0, 0, 0.8);\n}\n\n/* \u63cf\u8ff0\u6837\u5f0f */\n.glightbox-description {\n    font-size: 0.8rem;\n    color: rgba(255, 255, 255, 0.7);\n    margin-top: 0.5rem;\n}\n\n/* \u52a0\u8f7d\u52a8\u753b */\n.glightbox-loading {\n    border: 3px solid rgba(255, 255, 255, 0.2);\n    border-top-color: #fff;\n    border-radius: 50%;\n    animation: glow-spin 1s linear infinite;\n}\n\n@keyframes glow-spin {\n    to { transform: rotate(360deg); }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8122","title":"8.1.2.2 \u753b\u5eca\u6a21\u5f0f","text":"<ol> <li>\u753b\u5eca\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - glightbox:\n      # \u753b\u5eca\u8bbe\u7f6e\n      gallery: true                 # \u542f\u7528\u753b\u5eca\n      gallery_mode: true           # \u753b\u5eca\u6a21\u5f0f\n      gallery_trigger: click      # \u89e6\u53d1\u65b9\u5f0f\n\n      # \u7f29\u7565\u56fe\u8bbe\u7f6e\n      thumb_width: 150            # \u7f29\u7565\u56fe\u5bbd\u5ea6\n      thumb_height: 100           # \u7f29\u7565\u56fe\u9ad8\u5ea6\n      thumb_fit: cover            # \u7f29\u7565\u56fe\u9002\u5e94\u65b9\u5f0f\n</code></pre> <ol> <li>\u753b\u5eca\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/gallery.html --&gt;\n&lt;div class=\"gallery\"&gt;\n    {% for image in page.meta.gallery %}\n    &lt;a href=\"{{ image.url }}\" \n       class=\"gallery-item\"\n       data-gallery=\"gallery\"\n       data-glightbox=\"title: {{ image.title }}; description: {{ image.description }}\"&gt;\n        &lt;img src=\"{{ image.thumbnail or image.url }}\" \n             alt=\"{{ image.title }}\"\n             loading=\"lazy\"&gt;\n        {% if image.title %}\n        &lt;div class=\"gallery-caption\"&gt;{{ image.title }}&lt;/div&gt;\n        {% endif %}\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n</code></pre> <ol> <li>\u753b\u5eca\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/gallery.css */\n.gallery {\n    display: grid;\n    grid-template-columns: repeat(auto-fill, minmax(150px, 1fr));\n    gap: 1rem;\n    padding: 1rem;\n}\n\n.gallery-item {\n    position: relative;\n    overflow: hidden;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: transform 0.3s ease;\n}\n\n.gallery-item:hover {\n    transform: translateY(-4px);\n}\n\n.gallery-item img {\n    width: 100%;\n    height: 100%;\n    object-fit: cover;\n    transition: transform 0.3s ease;\n}\n\n.gallery-item:hover img {\n    transform: scale(1.1);\n}\n\n.gallery-caption {\n    position: absolute;\n    bottom: 0;\n    left: 0;\n    right: 0;\n    padding: 0.5rem;\n    background: rgba(0, 0, 0, 0.7);\n    color: white;\n    font-size: 0.8rem;\n    transform: translateY(100%);\n    transition: transform 0.3s ease;\n}\n\n.gallery-item:hover .gallery-caption {\n    transform: translateY(0);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#82","title":"8.2 \u63a8\u8350\u63d2\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#8211-git-revision-date","title":"8.2.1.1 git-revision-date","text":""},{"location":"Technology/mkdocs%20material/#8212","title":"8.2.1.2 \u65f6\u95f4\u663e\u793a","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-git-revision-date-localized-plugin\n</code></pre> <ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - git-revision-date-localized:\n      enabled: true\n      type: date           # \u663e\u793a\u7c7b\u578b\uff1adate, datetime, iso_date, iso_datetime, timeago\n      timezone: Asia/Shanghai  # \u65f6\u533a\u8bbe\u7f6e\n      locale: zh          # \u672c\u5730\u5316\u8bed\u8a00\n      fallback_to_build_date: true  # \u65e0 git \u4fe1\u606f\u65f6\u4f7f\u7528\u6784\u5efa\u65f6\u95f4\n\n      # \u65f6\u95f4\u683c\u5f0f\n      enable_creation_date: true    # \u663e\u793a\u521b\u5efa\u65f6\u95f4\n      exclude:\n        - index.md\n        - 404.md\n</code></pre> <ol> <li>\u65f6\u95f4\u663e\u793a\u6a21\u677f\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/date.html --&gt;\n{% if page.meta.git_revision_date_localized %}\n&lt;div class=\"page-date\"&gt;\n    &lt;!-- \u6700\u540e\u66f4\u65b0\u65f6\u95f4 --&gt;\n    &lt;div class=\"date-item\"&gt;\n        &lt;span class=\"date-icon\"&gt;\n            {% include \".icons/material/update.svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"date-text\"&gt;\n            \u6700\u540e\u66f4\u65b0: {{ page.meta.git_revision_date_localized }}\n        &lt;/span&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u521b\u5efa\u65f6\u95f4 --&gt;\n    {% if page.meta.git_creation_date_localized %}\n    &lt;div class=\"date-item\"&gt;\n        &lt;span class=\"date-icon\"&gt;\n            {% include \".icons/material/clock-outline.svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"date-text\"&gt;\n            \u521b\u5efa\u65f6\u95f4: {{ page.meta.git_creation_date_localized }}\n        &lt;/span&gt;\n    &lt;/div&gt;\n    {% endif %}\n&lt;/div&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8213","title":"8.2.1.3 \u66f4\u65b0\u8bb0\u5f55","text":"<ol> <li>\u66f4\u65b0\u8bb0\u5f55\u663e\u793a\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/revision.html --&gt;\n{% if page.meta.git_revision_date_localized %}\n&lt;div class=\"revision-history\"&gt;\n    &lt;h3&gt;\u66f4\u65b0\u8bb0\u5f55&lt;/h3&gt;\n    &lt;div class=\"revision-list\"&gt;\n        {% for revision in page.meta.git_history %}\n        &lt;div class=\"revision-item\"&gt;\n            &lt;div class=\"revision-date\"&gt;\n                {{ revision.date }}\n            &lt;/div&gt;\n            &lt;div class=\"revision-message\"&gt;\n                {{ revision.message }}\n            &lt;/div&gt;\n        &lt;/div&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/div&gt;\n</code></pre> <ol> <li>\u6837\u5f0f\u914d\u7f6e\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/revision.css */\n.revision-history {\n    margin: 2rem 0;\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 4px;\n}\n\n.revision-item {\n    display: flex;\n    padding: 0.5rem 0;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.revision-date {\n    flex: 0 0 200px;\n    color: var(--md-default-fg-color--light);\n}\n\n.revision-message {\n    flex: 1;\n}\n\n/* \u65f6\u95f4\u7ebf\u6837\u5f0f */\n.revision-item {\n    position: relative;\n    padding-left: 2rem;\n}\n\n.revision-item::before {\n    content: '';\n    position: absolute;\n    left: 0;\n    top: 1rem;\n    width: 12px;\n    height: 12px;\n    background: var(--md-accent-fg-color);\n    border-radius: 50%;\n}\n\n.revision-item::after {\n    content: '';\n    position: absolute;\n    left: 5px;\n    top: 1.5rem;\n    bottom: -0.5rem;\n    width: 2px;\n    background: var(--md-default-fg-color--lightest);\n}\n\n.revision-item:last-child::after {\n    display: none;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8214","title":"8.2.1.4 \u4f5c\u8005\u4fe1\u606f","text":"<ol> <li>\u4f5c\u8005\u4fe1\u606f\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - git-revision-date-localized:\n      enabled: true\n      type: date\n      enable_authors: true     # \u542f\u7528\u4f5c\u8005\u4fe1\u606f\n      authors_file: authors.yaml   # \u4f5c\u8005\u914d\u7f6e\u6587\u4ef6\n</code></pre> <ol> <li>\u4f5c\u8005\u914d\u7f6e\u6587\u4ef6 (authors. yaml)\uff1a</li> </ol> YAML<pre><code>authors:\n  john:\n    name: John Doe\n    email: john@example.com\n    avatar: assets/authors/john.jpg\n    bio: \u8d44\u6df1\u6280\u672f\u4f5c\u8005\n    social:\n      github: johndoe\n      twitter: johndoe\n\n  jane:\n    name: Jane Smith\n    email: jane@example.com\n    avatar: assets/authors/jane.jpg\n    bio: \u524d\u7aef\u5f00\u53d1\u4e13\u5bb6\n    social:\n      github: janesmith\n      linkedin: janesmith\n</code></pre> <ol> <li>\u4f5c\u8005\u4fe1\u606f\u663e\u793a\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/author.html --&gt;\n{% if page.meta.git_authors %}\n&lt;div class=\"page-authors\"&gt;\n    {% for author in page.meta.git_authors %}\n    &lt;div class=\"author-card\"&gt;\n        &lt;!-- \u4f5c\u8005\u5934\u50cf --&gt;\n        &lt;div class=\"author-avatar\"&gt;\n            {% if author.avatar %}\n            &lt;img src=\"{{ author.avatar }}\" alt=\"{{ author.name }}\"&gt;\n            {% else %}\n            &lt;div class=\"avatar-placeholder\"&gt;\n                {{ author.name[0] }}\n            &lt;/div&gt;\n            {% endif %}\n        &lt;/div&gt;\n\n        &lt;!-- \u4f5c\u8005\u4fe1\u606f --&gt;\n        &lt;div class=\"author-info\"&gt;\n            &lt;h4 class=\"author-name\"&gt;{{ author.name }}&lt;/h4&gt;\n            {% if author.bio %}\n            &lt;p class=\"author-bio\"&gt;{{ author.bio }}&lt;/p&gt;\n            {% endif %}\n\n            &lt;!-- \u793e\u4ea4\u94fe\u63a5 --&gt;\n            {% if author.social %}\n            &lt;div class=\"author-social\"&gt;\n                {% for platform, username in author.social.items() %}\n                &lt;a href=\"https://{{ platform }}.com/{{ username }}\" \n                   target=\"_blank\"\n                   class=\"social-link\"&gt;\n                    {% include \".icons/material/\" ~ platform ~ \".svg\" %}\n                &lt;/a&gt;\n                {% endfor %}\n            &lt;/div&gt;\n            {% endif %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endfor %}\n&lt;/div&gt;\n</code></pre> <ol> <li>\u4f5c\u8005\u4fe1\u606f\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/author.css */\n.page-authors {\n    margin: 2rem 0;\n    display: grid;\n    grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n    gap: 1rem;\n}\n\n.author-card {\n    display: flex;\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n}\n\n.author-card:hover {\n    transform: translateY(-2px);\n}\n\n.author-avatar {\n    flex: 0 0 80px;\n    margin-right: 1rem;\n}\n\n.author-avatar img {\n    width: 80px;\n    height: 80px;\n    border-radius: 50%;\n    object-fit: cover;\n}\n\n.avatar-placeholder {\n    width: 80px;\n    height: 80px;\n    border-radius: 50%;\n    background: var(--md-accent-fg-color);\n    color: white;\n    display: flex;\n    align-items: center;\n    justify-content: center;\n    font-size: 2rem;\n}\n\n.author-info {\n    flex: 1;\n}\n\n.author-name {\n    margin: 0 0 0.5rem;\n    font-size: 1.1rem;\n}\n\n.author-bio {\n    color: var(--md-default-fg-color--light);\n    font-size: 0.9rem;\n    margin: 0 0 0.5rem;\n}\n\n.author-social {\n    display: flex;\n    gap: 0.5rem;\n}\n\n.social-link {\n    color: var(--md-default-fg-color--light);\n    transition: color 0.2s ease;\n}\n\n.social-link:hover {\n    color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#822-minify","title":"8.2.2 minify","text":""},{"location":"Technology/mkdocs%20material/#8221-html","title":"8.2.2.1 HTML \u538b\u7f29","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-minify-plugin\n</code></pre> <ol> <li>\u914d\u7f6e\u538b\u7f29\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - minify:\n      minify_html: true\n      htmlmin_opts:\n          # HTML\u538b\u7f29\u9009\u9879\n          remove_comments: true  # \u79fb\u9664\u6ce8\u91ca\n          remove_empty_space: true  # \u79fb\u9664\u7a7a\u767d\n          remove_all_empty_space: true  # \u79fb\u9664\u6240\u6709\u7a7a\u767d\n          reduce_boolean_attributes: true  # \u7b80\u5316\u5e03\u5c14\u5c5e\u6027\n          remove_optional_tags: false  # \u4fdd\u7559\u53ef\u9009\u6807\u7b7e\n          remove_redundant_attributes: true  # \u79fb\u9664\u5197\u4f59\u5c5e\u6027\n          minify_js: true  # \u538b\u7f29\u5185\u8054JS\n          minify_css: true  # \u538b\u7f29\u5185\u8054CSS\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8222-css","title":"8.2.2.2 CSS \u538b\u7f29","text":"<ol> <li>CSS \u538b\u7f29\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - minify:\n      minify_css: true\n      css_files:\n          - stylesheets/extra.css\n          - stylesheets/custom.css\n      cssmin_opts:\n          # CSS\u538b\u7f29\u9009\u9879\n          level: 2  # \u538b\u7f29\u7ea7\u522b(1-2)\n          compatibility: ie9  # \u517c\u5bb9\u6027\n          format: beautify  # \u683c\u5f0f\u5316\u8f93\u51fa\n</code></pre> <ol> <li>CSS \u4f18\u5316\u811a\u672c\uff1a</li> </ol> Python<pre><code># docs/tools/css_optimizer.py\nimport re\nfrom pathlib import Path\nfrom csscompressor import compress\n\nclass CSSOptimizer:\n    def __init__(self, input_dir, output_dir):\n        self.input_dir = Path(input_dir)\n        self.output_dir = Path(output_dir)\n        self.output_dir.mkdir(exist_ok=True)\n\n    def optimize(self):\n        \"\"\"\u4f18\u5316\u6240\u6709CSS\u6587\u4ef6\"\"\"\n        for css_file in self.input_dir.glob('**/*.css'):\n            # \u8bfb\u53d6CSS\u5185\u5bb9\n            content = css_file.read_text(encoding='utf-8')\n\n            # \u4f18\u5316CSS\n            optimized = self.optimize_css(content)\n\n            # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u6587\u4ef6\n            output_file = self.output_dir / css_file.name\n            output_file.write_text(optimized, encoding='utf-8')\n\n    def optimize_css(self, content):\n        \"\"\"\u4f18\u5316\u5355\u4e2aCSS\u6587\u4ef6\u5185\u5bb9\"\"\"\n        # \u79fb\u9664\u6ce8\u91ca\n        content = re.sub(r'/\\*[\\s\\S]*?\\*/', '', content)\n\n        # \u79fb\u9664\u591a\u4f59\u7a7a\u767d\n        content = re.sub(r'\\s+', ' ', content)\n\n        # \u538b\u7f29CSS\n        content = compress(content)\n\n        return content\n\n# \u4f7f\u7528\u4f18\u5316\u5668\noptimizer = CSSOptimizer(\n    input_dir='docs/stylesheets',\n    output_dir='docs/stylesheets/min'\n)\noptimizer.optimize()\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8223-js","title":"8.2.2.3 JS \u538b\u7f29","text":"<ol> <li>JS \u538b\u7f29\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - minify:\n      minify_js: true\n      js_files:\n          - javascripts/extra.js\n          - javascripts/custom.js\n      jsmin_opts:\n          # JS\u538b\u7f29\u9009\u9879\n          mangle: true  # \u6df7\u6dc6\u53d8\u91cf\u540d\n          compress: true  # \u538b\u7f29\u4ee3\u7801\n          output:\n              beautify: false  # \u4e0d\u7f8e\u5316\u8f93\u51fa\n</code></pre> <ol> <li>JS \u4f18\u5316\u811a\u672c\uff1a</li> </ol> Python<pre><code># docs/tools/js_optimizer.py\nimport re\nfrom pathlib import Path\nimport terser\n\nclass JSOptimizer:\n    def __init__(self, input_dir, output_dir):\n        self.input_dir = Path(input_dir)\n        self.output_dir = Path(output_dir)\n        self.output_dir.mkdir(exist_ok=True)\n\n    def optimize(self):\n        \"\"\"\u4f18\u5316\u6240\u6709JS\u6587\u4ef6\"\"\"\n        for js_file in self.input_dir.glob('**/*.js'):\n            # \u8bfb\u53d6JS\u5185\u5bb9\n            content = js_file.read_text(encoding='utf-8')\n\n            # \u4f18\u5316JS\n            optimized = self.optimize_js(content)\n\n            # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u6587\u4ef6\n            output_file = self.output_dir / js_file.name\n            output_file.write_text(optimized, encoding='utf-8')\n\n    def optimize_js(self, content):\n        \"\"\"\u4f18\u5316\u5355\u4e2aJS\u6587\u4ef6\u5185\u5bb9\"\"\"\n        options = {\n            'compress': {\n                'pure_funcs': ['console.log'],  # \u79fb\u9664console.log\n                'drop_debugger': True,          # \u79fb\u9664debugger\n                'unsafe': True,                 # \u542f\u7528\u4e0d\u5b89\u5168\u4f18\u5316\n                'passes': 2                     # \u4f18\u5316\u6b21\u6570\n            },\n            'mangle': {\n                'toplevel': True,              # \u6df7\u6dc6\u9876\u7ea7\u4f5c\u7528\u57df\n                'eval': True                   # \u6df7\u6dc6eval\u4e2d\u7684\u53d8\u91cf\n            }\n        }\n\n        # \u4f7f\u7528terser\u538b\u7f29\n        result = terser.minify(content, options)\n        return result['code']\n\n# \u4f7f\u7528\u4f18\u5316\u5668\noptimizer = JSOptimizer(\n    input_dir='docs/javascripts',\n    output_dir='docs/javascripts/min'\n)\noptimizer.optimize()\n</code></pre> <p>\u8fd9\u4e9b\u914d\u7f6e\u548c\u811a\u672c\u53ef\u4ee5\u6709\u6548\u51cf\u5c0f\u7ad9\u70b9\u8d44\u6e90\u5927\u5c0f\uff0c\u63d0\u5347\u52a0\u8f7d\u901f\u5ea6\u3002\u8bb0\u5f97\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u4f7f\u7528\u538b\u7f29\u540e\u7684\u8d44\u6e90\u3002</p>"},{"location":"Technology/mkdocs%20material/#823-social","title":"8.2.3 social","text":""},{"location":"Technology/mkdocs%20material/#8231","title":"8.2.3.1 \u793e\u4ea4\u94fe\u63a5","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-social-plugin\n</code></pre> <ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - social:\n      enabled: true\n      # \u793e\u4ea4\u5e73\u53f0\u914d\u7f6e\n      cards: true           # \u542f\u7528\u793e\u4ea4\u5361\u7247\n      cards_color:          # \u5361\u7247\u989c\u8272\n          fill: \"#0FF1CE\"   # \u80cc\u666f\u8272\n          text: \"#FFFFFF\"   # \u6587\u5b57\u8272\n      cards_font: Roboto    # \u5361\u7247\u5b57\u4f53\n\nextra:\n  social:\n    - icon: material/github\n      link: https://github.com/username\n      name: GitHub\n    - icon: material/twitter\n      link: https://twitter.com/username\n      name: Twitter\n    - icon: material/linkedin\n      link: https://linkedin.com/in/username\n      name: LinkedIn\n</code></pre> <ol> <li>\u793e\u4ea4\u94fe\u63a5\u6a21\u677f\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/social.html --&gt;\n{% if config.extra.social %}\n&lt;div class=\"social-links\"&gt;\n    {% for social in config.extra.social %}\n    &lt;a href=\"{{ social.link }}\" \n       target=\"_blank\"\n       rel=\"noopener\"\n       title=\"{{ social.name }}\"\n       class=\"social-link\"&gt;\n        &lt;span class=\"social-icon\"&gt;\n            {% include \".icons/\" ~ social.icon ~ \".svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"social-name\"&gt;{{ social.name }}&lt;/span&gt;\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n{% endif %}\n</code></pre> <p>\u6837\u5f0f\u914d\u7f6e\uff1a</p> CSS<pre><code>/* docs/stylesheets/social.css */\n.social-links {\n    display: flex;\n    gap: 1rem;\n    margin: 2rem 0;\n}\n\n.social-link {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    transition: all 0.2s ease;\n}\n\n.social-link:hover {\n    transform: translateY(-2px);\n    color: var(--md-accent-fg-color);\n    background: var(--md-code-bg-color--light);\n}\n\n.social-icon {\n    margin-right: 0.5rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n\n.social-name {\n    font-size: 0.9rem;\n}\n\n/* \u52a8\u753b\u6548\u679c */\n.social-link .social-icon {\n    transition: transform 0.2s ease;\n}\n\n.social-link:hover .social-icon {\n    transform: scale(1.2);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8232","title":"8.2.3.2 \u5206\u4eab\u529f\u80fd","text":"<ol> <li>\u5206\u4eab\u529f\u80fd\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra:\n  social_share:\n    - platform: twitter\n      text: \u5206\u4eab\u5230 Twitter\n      icon: material/twitter\n    - platform: facebook\n      text: \u5206\u4eab\u5230 Facebook\n      icon: material/facebook\n    - platform: linkedin\n      text: \u5206\u4eab\u5230 LinkedIn\n      icon: material/linkedin\n    - platform: weibo\n      text: \u5206\u4eab\u5230\u5fae\u535a\n      icon: material/sina-weibo\n</code></pre> <ol> <li>\u5206\u4eab\u529f\u80fd\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/share.html --&gt;\n&lt;div class=\"page-share\"&gt;\n    &lt;h4&gt;\u5206\u4eab\u6587\u7ae0&lt;/h4&gt;\n    &lt;div class=\"share-buttons\"&gt;\n        {% for share in config.extra.social_share %}\n        &lt;button class=\"share-button\" \n                data-platform=\"{{ share.platform }}\"\n                onclick=\"shareContent('{{ share.platform }}')\"&gt;\n            &lt;span class=\"share-icon\"&gt;\n                {% include \".icons/\" ~ share.icon ~ \".svg\" %}\n            &lt;/span&gt;\n            &lt;span class=\"share-text\"&gt;{{ share.text }}&lt;/span&gt;\n        &lt;/button&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;script&gt;\nfunction shareContent(platform) {\n    const url = encodeURIComponent(window.location.href);\n    const title = encodeURIComponent(document.title);\n    const text = encodeURIComponent(document.querySelector('meta[name=\"description\"]')?.content || '');\n\n    let shareUrl;\n    switch(platform) {\n        case 'twitter':\n            shareUrl = `https://twitter.com/intent/tweet?url=${url}&amp;text=${title}`;\n            break;\n        case 'facebook':\n            shareUrl = `https://www.facebook.com/sharer/sharer.php?u=${url}`;\n            break;\n        case 'linkedin':\n            shareUrl = `https://www.linkedin.com/sharing/share-offsite/?url=${url}`;\n            break;\n        case 'weibo':\n            shareUrl = `http://service.weibo.com/share/share.php?url=${url}&amp;title=${title}`;\n            break;\n    }\n\n    window.open(shareUrl, '_blank', 'width=600,height=400');\n}\n&lt;/script&gt;\n</code></pre> <ol> <li>\u5206\u4eab\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/share.css */\n.page-share {\n    margin: 2rem 0;\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n}\n\n.share-buttons {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0.5rem;\n    margin-top: 1rem;\n}\n\n.share-button {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    border: none;\n    border-radius: 2rem;\n    background: var(--md-default-bg-color);\n    color: var(--md-default-fg-color);\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.share-button:hover {\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n\n.share-icon {\n    margin-right: 0.5rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8233","title":"8.2.3.3 \u5173\u6ce8\u6309\u94ae","text":"<ol> <li>\u5173\u6ce8\u6309\u94ae\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  follow_buttons:\n    - platform: github\n      username: your-username\n      icon: material/github\n      text: \u5173\u6ce8\u6211\u7684 GitHub\n    - platform: twitter\n      username: your-username\n      icon: material/twitter\n      text: \u5173\u6ce8\u6211\u7684 Twitter\n</code></pre> <ol> <li>\u5173\u6ce8\u6309\u94ae\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/follow.html --&gt;\n&lt;div class=\"follow-buttons\"&gt;\n    {% for btn in config.extra.follow_buttons %}\n    &lt;a href=\"https://{{ btn.platform }}.com/{{ btn.username }}\"\n       target=\"_blank\"\n       class=\"follow-button\"\n       data-platform=\"{{ btn.platform }}\"&gt;\n        &lt;span class=\"follow-icon\"&gt;\n            {% include \".icons/\" ~ btn.icon ~ \".svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"follow-text\"&gt;{{ btn.text }}&lt;/span&gt;\n        &lt;span class=\"follow-count\" id=\"{{ btn.platform }}-count\"&gt;\n            &lt;!-- \u5c06\u901a\u8fc7API\u52a8\u6001\u66f4\u65b0 --&gt;\n        &lt;/span&gt;\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n\n&lt;script&gt;\nasync function updateFollowCounts() {\n    const buttons = document.querySelectorAll('.follow-button');\n\n    for (const button of buttons) {\n        const platform = button.dataset.platform;\n        const username = button.href.split('/').pop();\n\n        // \u83b7\u53d6\u5173\u6ce8\u6570\n        const count = await getFollowCount(platform, username);\n\n        // \u66f4\u65b0\u663e\u793a\n        const countElement = button.querySelector('.follow-count');\n        if (countElement &amp;&amp; count) {\n            countElement.textContent = formatCount(count);\n        }\n    }\n}\n\nasync function getFollowCount(platform, username) {\n    switch (platform) {\n        case 'github':\n            const response = await fetch(`https://api.github.com/users/${username}`);\n            const data = await response.json();\n            return data.followers;\n\n        // \u5176\u4ed6\u5e73\u53f0API\u5b9e\u73b0...\n        default:\n            return null;\n    }\n}\n\nfunction formatCount(count) {\n    if (count &gt;= 1000000) {\n        return (count / 1000000).toFixed(1) + 'M';\n    }\n    if (count &gt;= 1000) {\n        return (count / 1000).toFixed(1) + 'K';\n    }\n    return count.toString();\n}\n\n// \u521d\u59cb\u5316\nupdateFollowCounts();\n&lt;/script&gt;\n</code></pre> <ol> <li>\u5173\u6ce8\u6309\u94ae\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/follow.css */\n.follow-buttons {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 1rem;\n    margin: 2rem 0;\n}\n\n.follow-button {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    text-decoration: none;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    transition: all 0.2s ease;\n}\n\n.follow-button:hover {\n    transform: translateY(-2px);\n}\n\n/* \u5e73\u53f0\u7279\u5b9a\u6837\u5f0f */\n.follow-button[data-platform=\"github\"] {\n    color: #333;\n}\n\n.follow-button[data-platform=\"github\"]:hover {\n    background: #333;\n    color: white;\n}\n\n.follow-button[data-platform=\"twitter\"] {\n    color: #1DA1F2;\n}\n\n.follow-button[data-platform=\"twitter\"]:hover {\n    background: #1DA1F2;\n    color: white;\n}\n\n.follow-icon {\n    margin-right: 0.5rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n\n.follow-count {\n    margin-left: 0.5rem;\n    padding: 0.2rem 0.5rem;\n    background: rgba(0, 0, 0, 0.1);\n    border-radius: 1rem;\n    font-size: 0.8rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#824-tags","title":"8.2.4 tags","text":""},{"location":"Technology/mkdocs%20material/#8241","title":"8.2.4.1 \u6807\u7b7e\u7cfb\u7edf","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-tags-plugin\n</code></pre> <ol> <li>\u914d\u7f6e\u6807\u7b7e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - tags:\n      tags_file: tags.md\n      tags_allowed:  # \u5141\u8bb8\u7684\u6807\u7b7e\u5217\u8868\n        - Python\n        - JavaScript\n        - CSS\n        - HTML\n      tags_extra_files:\n        cloud: tag_cloud.md    # \u6807\u7b7e\u4e91\u9875\u9762\n        list: tag_list.md      # \u6807\u7b7e\u5217\u8868\u9875\u9762\n</code></pre> <ol> <li>\u5728\u6587\u6863\u4e2d\u4f7f\u7528\u6807\u7b7e\uff1a</li> </ol> Markdown<pre><code>---\ntags:\n  - Python\n  - \u6559\u7a0b\n---\n\n# Python \u5165\u95e8\u6559\u7a0b\n</code></pre> <ol> <li>\u6807\u7b7e\u663e\u793a\u7ec4\u4ef6\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/tags.html --&gt;\n{% if page.meta.tags %}\n&lt;div class=\"page-tags\"&gt;\n    {% for tag in page.meta.tags %}\n    &lt;a href=\"{{ base_url }}/tags/#{{ tag|lower }}\" class=\"tag\"&gt;\n        &lt;span class=\"tag-icon\"&gt;\n            {% include \".icons/material/tag.svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"tag-text\"&gt;{{ tag }}&lt;/span&gt;\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8242","title":"8.2.4.2 \u6807\u7b7e\u4e91","text":"<ol> <li>\u6807\u7b7e\u4e91\u5b9e\u73b0\uff1a</li> </ol> Python<pre><code># docs/plugins/tags/cloud.py\nfrom collections import Counter\nimport math\n\nclass TagCloud:\n    def __init__(self, tags):\n        self.tags = Counter(tags)\n        self.min_size = 0.8\n        self.max_size = 2.0\n\n    def get_tag_sizes(self):\n        \"\"\"\u8ba1\u7b97\u6807\u7b7e\u5927\u5c0f\"\"\"\n        if not self.tags:\n            return {}\n\n        # \u83b7\u53d6\u6700\u5927\u548c\u6700\u5c0f\u9891\u7387\n        max_freq = max(self.tags.values())\n        min_freq = min(self.tags.values())\n\n        # \u8ba1\u7b97\u6bcf\u4e2a\u6807\u7b7e\u7684\u5927\u5c0f\n        sizes = {}\n        for tag, freq in self.tags.items():\n            if max_freq == min_freq:\n                sizes[tag] = (self.max_size + self.min_size) / 2\n            else:\n                size = self.min_size + (self.max_size - self.min_size) * \\\n                       ((freq - min_freq) / (max_freq - min_freq))\n                sizes[tag] = round(size, 2)\n\n        return sizes\n\ndef generate_tag_cloud(tags):\n    \"\"\"\u751f\u6210\u6807\u7b7e\u4e91HTML\"\"\"\n    cloud = TagCloud(tags)\n    sizes = cloud.get_tag_sizes()\n\n    html = ['&lt;div class=\"tag-cloud\"&gt;']\n\n    for tag, size in sizes.items():\n        html.append(f'''\n            &lt;a href=\"#tag-{tag.lower()}\" \n               class=\"tag-cloud-item\"\n               style=\"font-size: {size}rem\"&gt;\n                {tag}\n            &lt;/a&gt;\n        ''')\n\n    html.append('&lt;/div&gt;')\n    return '\\n'.join(html)\n</code></pre> <ol> <li>\u6807\u7b7e\u4e91\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/tags.css */\n.tag-cloud {\n    display: flex;\n    flex-wrap: wrap;\n    justify-content: center;\n    gap: 1rem;\n    padding: 2rem;\n}\n\n.tag-cloud-item {\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    padding: 0.5rem 1rem;\n    border-radius: 2rem;\n    background: var(--md-code-bg-color);\n    transition: all 0.2s ease;\n}\n\n.tag-cloud-item:hover {\n    transform: scale(1.1);\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8243","title":"8.2.4.3 \u6807\u7b7e\u9875\u9762","text":"<ol> <li>\u6807\u7b7e\u5217\u8868\u9875\u9762\uff1a</li> </ol> Markdown<pre><code># \u6807\u7b7e\u7d22\u5f15\n\n## \u6807\u7b7e\u4e91\n[TAGS_CLOUD]\n\n## \u6807\u7b7e\u5217\u8868\n[TAGS_LIST]\n</code></pre> <ol> <li>\u6807\u7b7e\u9875\u9762\u751f\u6210\u5668\uff1a</li> </ol> Python<pre><code># docs/plugins/tags/generator.py\nfrom pathlib import Path\nimport yaml\n\nclass TagPageGenerator:\n    def __init__(self, config):\n        self.config = config\n        self.tags = {}\n\n    def collect_tags(self):\n        \"\"\"\u6536\u96c6\u6240\u6709\u6807\u7b7e\"\"\"\n        docs_dir = Path(self.config['docs_dir'])\n\n        for md_file in docs_dir.glob('**/*.md'):\n            # \u8bfb\u53d6\u6587\u4ef6frontmatter\n            content = md_file.read_text(encoding='utf-8')\n            if content.startswith('---'):\n                try:\n                    # \u89e3\u6790frontmatter\n                    _, frontmatter, _ = content.split('---', 2)\n                    meta = yaml.safe_load(frontmatter)\n\n                    if 'tags' in meta:\n                        # \u83b7\u53d6\u76f8\u5bf9\u8def\u5f84\n                        rel_path = md_file.relative_to(docs_dir)\n                        url = str(rel_path).replace('\\\\', '/')[:-3]  # \u79fb\u9664.md\n\n                        # \u6dfb\u52a0\u5230\u6807\u7b7e\u7d22\u5f15\n                        for tag in meta['tags']:\n                            if tag not in self.tags:\n                                self.tags[tag] = []\n                            self.tags[tag].append({\n                                'title': meta.get('title', url),\n                                'url': url,\n                                'description': meta.get('description', '')\n                            })\n                except:\n                    continue\n\n    def generate_tag_pages(self):\n        \"\"\"\u751f\u6210\u6807\u7b7e\u76f8\u5173\u9875\u9762\"\"\"\n        self.collect_tags()\n\n        # \u751f\u6210\u6807\u7b7e\u5217\u8868\u9875\u9762\n        if 'list' in self.config['tags_extra_files']:\n            self.generate_list_page()\n\n        # \u751f\u6210\u6bcf\u4e2a\u6807\u7b7e\u7684\u8be6\u60c5\u9875\u9762\n        self.generate_tag_detail_pages()\n\n    def generate_list_page(self):\n        \"\"\"\u751f\u6210\u6807\u7b7e\u5217\u8868\u9875\u9762\"\"\"\n        template = \"\"\"\n# \u6807\u7b7e\u5217\u8868\n\n{% for tag, posts in tags.items() %}\n## {{ tag }}\n\n{% for post in posts %}\n- [{{ post.title }}]({{ post.url }}){% if post.description %} - {{ post.description }}{% endif %}\n{% endfor %}\n\n{% endfor %}\n\"\"\"\n        # \u4f7f\u7528 Jinja2 \u6e32\u67d3\u6a21\u677f\n        from jinja2 import Template\n        content = Template(template).render(tags=self.tags)\n\n        # \u4fdd\u5b58\u9875\u9762\n        output_file = Path(self.config['docs_dir']) / 'tags' / 'list.md'\n        output_file.parent.mkdir(exist_ok=True)\n        output_file.write_text(content, encoding='utf-8')\n\n    def generate_tag_detail_pages(self):\n        \"\"\"\u751f\u6210\u6bcf\u4e2a\u6807\u7b7e\u7684\u8be6\u60c5\u9875\u9762\"\"\"\n        template = \"\"\"\n# \u6807\u7b7e: {{ tag }}\n\n## \u76f8\u5173\u6587\u7ae0\n\n{% for post in posts %}\n### [{{ post.title }}]({{ post.url }})\n{% if post.description %}\n{{ post.description }}\n{% endif %}\n{% endfor %}\n\n## \u76f8\u5173\u6807\u7b7e\n{% for related_tag in related_tags %}\n- [{{ related_tag }}](../{{ related_tag | lower }})\n{% endfor %}\n\"\"\"\n        # \u6807\u7b7e\u76ee\u5f55\n        tags_dir = Path(self.config['docs_dir']) / 'tags'\n        tags_dir.mkdir(exist_ok=True)\n\n        # \u4e3a\u6bcf\u4e2a\u6807\u7b7e\u751f\u6210\u9875\u9762\n        for tag, posts in self.tags.items():\n            # \u67e5\u627e\u76f8\u5173\u6807\u7b7e\n            related_tags = self.find_related_tags(tag)\n\n            # \u6e32\u67d3\u5185\u5bb9\n            content = Template(template).render(\n                tag=tag,\n                posts=posts,\n                related_tags=related_tags\n            )\n\n            # \u4fdd\u5b58\u9875\u9762\n            output_file = tags_dir / f\"{tag.lower()}.md\"\n            output_file.write_text(content, encoding='utf-8')\n\n    def find_related_tags(self, current_tag):\n        \"\"\"\u67e5\u627e\u76f8\u5173\u6807\u7b7e\"\"\"\n        related = set()\n\n        # \u83b7\u53d6\u5f53\u524d\u6807\u7b7e\u7684\u6240\u6709\u6587\u7ae0\n        current_posts = self.tags[current_tag]\n\n        # \u904d\u5386\u6240\u6709\u5176\u4ed6\u6807\u7b7e\n        for tag, posts in self.tags.items():\n            if tag == current_tag:\n                continue\n\n            # \u8ba1\u7b97\u6587\u7ae0\u4ea4\u96c6\n            intersection = set(p['url'] for p in posts) &amp; \\\n                          set(p['url'] for p in current_posts)\n\n            # \u5982\u679c\u6709\u5171\u540c\u6587\u7ae0\uff0c\u8ba4\u4e3a\u662f\u76f8\u5173\u6807\u7b7e\n            if intersection:\n                related.add(tag)\n\n        return list(related)\n</code></pre> <ol> <li>\u6807\u7b7e\u9875\u9762\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/tags-page.css */\n/* \u6807\u7b7e\u5217\u8868\u9875\u9762 */\n.tags-list {\n    margin: 2rem 0;\n}\n\n.tag-section {\n    margin-bottom: 3rem;\n}\n\n.tag-section h2 {\n    color: var(--md-accent-fg-color);\n    border-bottom: 2px solid var(--md-accent-fg-color);\n    padding-bottom: 0.5rem;\n}\n\n.tag-section .post-list {\n    margin-left: 1rem;\n}\n\n.post-list-item {\n    margin: 1rem 0;\n}\n\n.post-list-item .post-title {\n    font-weight: 500;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n}\n\n.post-list-item .post-description {\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n    margin-top: 0.2rem;\n}\n\n/* \u6807\u7b7e\u8be6\u60c5\u9875\u9762 */\n.tag-detail {\n    padding: 2rem;\n}\n\n.tag-detail-header {\n    text-align: center;\n    margin-bottom: 3rem;\n}\n\n.tag-detail-title {\n    font-size: 2rem;\n    color: var(--md-primary-fg-color);\n}\n\n.tag-detail-count {\n    color: var(--md-default-fg-color--light);\n}\n\n.related-posts {\n    margin: 2rem 0;\n}\n\n.related-post {\n    padding: 1rem;\n    margin: 1rem 0;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n}\n\n.related-post:hover {\n    transform: translateX(0.5rem);\n}\n\n.related-tags {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0.5rem;\n    margin: 2rem 0;\n}\n\n.related-tag {\n    padding: 0.2rem 0.8rem;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    transition: all 0.2s ease;\n}\n\n.related-tag:hover {\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n</code></pre> <ol> <li>\u9875\u9762\u4ea4\u4e92\u529f\u80fd\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/tags.js\nclass TagsManager {\n    constructor() {\n        this.initializeFilters();\n        this.setupSearch();\n        this.setupSorting();\n    }\n\n    initializeFilters() {\n        const tagList = document.querySelector('.tags-list');\n        if (!tagList) return;\n\n        // \u521b\u5efa\u8fc7\u6ee4\u5668\n        const filterContainer = document.createElement('div');\n        filterContainer.className = 'tags-filter';\n        filterContainer.innerHTML = `\n            &lt;input type=\"text\" \n                   class=\"filter-input\" \n                   placeholder=\"\u641c\u7d22\u6807\u7b7e...\"&gt;\n            &lt;select class=\"sort-select\"&gt;\n                &lt;option value=\"name\"&gt;\u6309\u540d\u79f0\u6392\u5e8f&lt;/option&gt;\n                &lt;option value=\"count\"&gt;\u6309\u6587\u7ae0\u6570\u91cf\u6392\u5e8f&lt;/option&gt;\n            &lt;/select&gt;\n        `;\n\n        tagList.insertBefore(filterContainer, tagList.firstChild);\n    }\n\n    setupSearch() {\n        const input = document.querySelector('.filter-input');\n        if (!input) return;\n\n        input.addEventListener('input', () =&gt; {\n            const query = input.value.toLowerCase();\n            const sections = document.querySelectorAll('.tag-section');\n\n            sections.forEach(section =&gt; {\n                const tag = section.querySelector('h2').textContent.toLowerCase();\n                section.style.display = tag.includes(query) ? 'block' : 'none';\n            });\n        });\n    }\n\n    setupSorting() {\n        const select = document.querySelector('.sort-select');\n        if (!select) return;\n\n        select.addEventListener('change', () =&gt; {\n            const sections = Array.from(document.querySelectorAll('.tag-section'));\n            const container = sections[0].parentElement;\n\n            sections.sort((a, b) =&gt; {\n                const aTag = a.querySelector('h2').textContent;\n                const bTag = b.querySelector('h2').textContent;\n                const aCount = this.getPostCount(a);\n                const bCount = this.getPostCount(b);\n\n                if (select.value === 'name') {\n                    return aTag.localeCompare(bTag);\n                } else {\n                    return bCount - aCount;\n                }\n            });\n\n            // \u91cd\u65b0\u63d2\u5165\u6392\u5e8f\u540e\u7684\u7ae0\u8282\n            sections.forEach(section =&gt; container.appendChild(section));\n        });\n    }\n\n    getPostCount(section) {\n        return section.querySelectorAll('.post-list-item').length;\n    }\n}\n\n// \u521d\u59cb\u5316\u6807\u7b7e\u7ba1\u7406\u5668\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new TagsManager();\n});\n</code></pre> <p>\u4f7f\u7528\u4ee5\u4e0a\u4ee3\u7801\uff0c\u4f60\u53ef\u4ee5\u5b9e\u73b0\u4e00\u4e2a\u529f\u80fd\u5b8c\u6574\u7684\u6807\u7b7e\u7cfb\u7edf\uff0c\u5305\u62ec\uff1a</p> <ol> <li>\u6807\u7b7e\u4e91\u53ef\u89c6\u5316</li> <li>\u6807\u7b7e\u5217\u8868\u6d4f\u89c8</li> <li>\u6807\u7b7e\u8be6\u60c5\u9875\u9762</li> <li>\u76f8\u5173\u6807\u7b7e\u63a8\u8350</li> <li>\u6807\u7b7e\u641c\u7d22\u548c\u6392\u5e8f</li> <li>\u54cd\u5e94\u5f0f\u5e03\u5c40</li> </ol> <p>\u914d\u7f6e\u6587\u4ef6\u9700\u8981\u6dfb\u52a0\u76f8\u5e94\u7684\u5f15\u7528\uff1a</p> YAML<pre><code># mkdocs.yml\nextra_css:\n  - stylesheets/tags.css\n  - stylesheets/tags-page.css\n\nextra_javascript:\n  - javascripts/tags.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#9","title":"9 \u529f\u80fd\u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#91","title":"9.1 \u8bc4\u8bba\u7cfb\u7edf","text":""},{"location":"Technology/mkdocs%20material/#911-giscus","title":"9.1.1 Giscus \u914d\u7f6e","text":"<ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra:\n  comments:\n    provider: giscus\n    repo: username/repo\n    repo_id: your_repo_id\n    category: Comments\n    category_id: your_category_id\n</code></pre> <ol> <li>Giscus \u7ec4\u4ef6\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/comments.html --&gt;\n{% if config.extra.comments.provider == 'giscus' %}\n&lt;div class=\"comments-container\"&gt;\n    &lt;h3&gt;\u8bc4\u8bba&lt;/h3&gt;\n    &lt;div class=\"giscus\"&gt;&lt;/div&gt;\n\n    &lt;script&gt;\n        function loadGiscus() {\n            const script = document.createElement('script');\n            script.src = 'https://giscus.app/client.js';\n            script.setAttribute('data-repo', '{{ config.extra.comments.repo }}');\n            script.setAttribute('data-repo-id', '{{ config.extra.comments.repo_id }}');\n            script.setAttribute('data-category', '{{ config.extra.comments.category }}');\n            script.setAttribute('data-category-id', '{{ config.extra.comments.category_id }}');\n            script.setAttribute('data-mapping', 'pathname');\n            script.setAttribute('data-reactions-enabled', '1');\n            script.setAttribute('data-emit-metadata', '0');\n            script.setAttribute('data-theme', 'preferred_color_scheme');\n            script.setAttribute('crossorigin', 'anonymous');\n            script.async = true;\n\n            document.querySelector('.giscus').appendChild(script);\n        }\n\n        // \u5ef6\u8fdf\u52a0\u8f7d\u8bc4\u8bba\n        if ('IntersectionObserver' in window) {\n            const observer = new IntersectionObserver((entries) =&gt; {\n                if (entries[0].isIntersecting) {\n                    loadGiscus();\n                    observer.disconnect();\n                }\n            });\n\n            observer.observe(document.querySelector('.comments-container'));\n        } else {\n            loadGiscus();\n        }\n    &lt;/script&gt;\n&lt;/div&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#912","title":"9.1.2 \u81ea\u5b9a\u4e49\u8bc4\u8bba\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/comments.css */\n.comments-container {\n    margin: 3rem 0;\n    padding-top: 2rem;\n    border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.giscus {\n    width: 100%;\n}\n\n/* Giscus \u4e3b\u9898\u9002\u914d */\n.giscus-frame {\n    background-color: var(--md-default-bg-color);\n    color: var(--md-default-fg-color);\n}\n\n/* \u6697\u8272\u6a21\u5f0f\u9002\u914d */\n[data-md-color-scheme=\"slate\"] .giscus-frame {\n    background-color: var(--md-default-bg-color--dark);\n    color: var(--md-default-fg-color--dark);\n}\n\n/* \u8bc4\u8bba\u6846\u6837\u5f0f */\n.giscus .gsc-comment-box {\n    background-color: var(--md-code-bg-color);\n    border-radius: 8px;\n    padding: 1rem;\n}\n\n/* \u8bc4\u8bba\u5217\u8868\u6837\u5f0f */\n.giscus .gsc-comment {\n    margin: 1rem 0;\n    padding: 1rem;\n    background-color: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n}\n\n.giscus .gsc-comment:hover {\n    transform: translateX(4px);\n}\n\n/* \u6309\u94ae\u6837\u5f0f */\n.giscus .gsc-button {\n    background-color: var(--md-primary-fg-color);\n    color: var(--md-primary-bg-color);\n    border: none;\n    padding: 0.5rem 1rem;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.giscus .gsc-button:hover {\n    background-color: var(--md-primary-fg-color--dark);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#92","title":"9.2 \u6570\u636e\u7edf\u8ba1","text":""},{"location":"Technology/mkdocs%20material/#921-google-analytics","title":"9.2.1 Google Analytics","text":"<ol> <li>GA4 \u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra:\n  analytics:\n    provider: google\n    property: G-XXXXXXXXXX\n\n    # \u4e8b\u4ef6\u8ffd\u8e2a\n    events: true\n    # \u7528\u6237\u884c\u4e3a\u8ffd\u8e2a\n    behavior: true\n</code></pre> <ol> <li>GA4 \u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/analytics.html --&gt;\n{% if config.extra.analytics.provider == 'google' %}\n&lt;!-- Google Analytics --&gt;\n&lt;script async src=\"https://www.googletagmanager.com/gtag/js?id={{ config.extra.analytics.property }}\"&gt;&lt;/script&gt;\n&lt;script&gt;\n  window.dataLayer = window.dataLayer || [];\n  function gtag(){dataLayer.push(arguments);}\n  gtag('js', new Date());\n  gtag('config', '{{ config.extra.analytics.property }}');\n\n  // \u4e8b\u4ef6\u8ffd\u8e2a\n  if ({{ config.extra.analytics.events|tojson }}) {\n      document.addEventListener('DOMContentLoaded', function() {\n          // \u70b9\u51fb\u4e8b\u4ef6\u8ffd\u8e2a\n          document.addEventListener('click', function(e) {\n              const target = e.target.closest('a');\n              if (target) {\n                  gtag('event', 'click', {\n                      'event_category': 'link',\n                      'event_label': target.href\n                  });\n              }\n          });\n\n          // \u6eda\u52a8\u4e8b\u4ef6\u8ffd\u8e2a\n          let lastScrollDepth = 0;\n          window.addEventListener('scroll', debounce(function() {\n              const scrollDepth = Math.round(\n                  (window.scrollY + window.innerHeight) / \n                  document.documentElement.scrollHeight * 100\n              );\n\n              if (scrollDepth &gt; lastScrollDepth) {\n                  gtag('event', 'scroll_depth', {\n                      'depth': scrollDepth\n                  });\n                  lastScrollDepth = scrollDepth;\n              }\n          }, 500));\n\n          // \u641c\u7d22\u4e8b\u4ef6\u8ffd\u8e2a\n          const searchInput = document.querySelector('.md-search__input');\n          if (searchInput) {\n              searchInput.addEventListener('search', function() {\n                  gtag('event', 'search', {\n                      'search_term': this.value\n                  });\n              });\n          }\n      });\n  }\n\n  // \u7528\u6237\u884c\u4e3a\u8ffd\u8e2a\n  if ({{ config.extra.analytics.behavior|tojson }}) {\n      // \u9875\u9762\u505c\u7559\u65f6\u95f4\n      let startTime = Date.now();\n      window.addEventListener('beforeunload', function() {\n          const duration = Math.round((Date.now() - startTime) / 1000);\n          gtag('event', 'time_on_page', {\n              'duration': duration\n          });\n      });\n\n      // \u590d\u5236\u884c\u4e3a\u8ffd\u8e2a\n      document.addEventListener('copy', function() {\n          gtag('event', 'content_copy');\n      });\n  }\n&lt;/script&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#922","title":"9.2.2 \u4e0d\u849c\u5b50\u7edf\u8ba1","text":"<ol> <li>\u4e0d\u849c\u5b50\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  analytics:\n    busuanzi: true\n</code></pre> <ol> <li>\u4e0d\u849c\u5b50\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/busuanzi.html --&gt;\n{% if config.extra.analytics.busuanzi %}\n&lt;script async src=\"//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js\"&gt;&lt;/script&gt;\n\n&lt;div class=\"page-views\"&gt;\n    &lt;!-- \u603b\u8bbf\u95ee\u91cf --&gt;\n    &lt;span id=\"busuanzi_container_site_pv\"&gt;\n        \u603b\u8bbf\u95ee\u91cf: &lt;span id=\"busuanzi_value_site_pv\"&gt;&lt;/span&gt;\u6b21\n    &lt;/span&gt;\n\n    &lt;!-- \u603b\u8bbf\u5ba2\u6570 --&gt;\n    &lt;span id=\"busuanzi_container_site_uv\"&gt;\n        \u8bbf\u5ba2\u6570: &lt;span id=\"busuanzi_value_site_uv\"&gt;&lt;/span&gt;\u4eba\n    &lt;/span&gt;\n\n    &lt;!-- \u9875\u9762\u8bbf\u95ee\u91cf --&gt;\n    &lt;span id=\"busuanzi_container_page_pv\"&gt;\n        \u672c\u6587\u8bbf\u95ee\u91cf: &lt;span id=\"busuanzi_value_page_pv\"&gt;&lt;/span&gt;\u6b21\n    &lt;/span&gt;\n&lt;/div&gt;\n\n&lt;style&gt;\n.page-views {\n    display: flex;\n    gap: 1rem;\n    margin: 1rem 0;\n    padding: 0.5rem;\n    background: var(--md-code-bg-color);\n    border-radius: 4px;\n    font-size: 0.9rem;\n}\n\n.page-views span {\n    color: var(--md-default-fg-color--light);\n}\n\n.page-views span span {\n    color: var(--md-accent-fg-color);\n    font-weight: bold;\n}\n&lt;/style&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#93","title":"9.3 \u793e\u4ea4\u5206\u4eab","text":""},{"location":"Technology/mkdocs%20material/#931","title":"9.3.1 \u5206\u4eab\u6309\u94ae","text":"<ol> <li>\u5206\u4eab\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  social_share:\n    enabled: true\n    platforms:\n      - name: twitter\n        icon: material/twitter\n        color: '#1DA1F2'\n      - name: facebook\n        icon: material/facebook\n        color: '#4267B2'\n      - name: linkedin\n        icon: material/linkedin\n        color: '#0A66C2'\n      - name: weibo\n        icon: material/sina-weibo\n        color: '#E6162D'\n</code></pre> <ol> <li>\u5206\u4eab\u6309\u94ae\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/share.html --&gt;\n{% if config.extra.social_share.enabled %}\n&lt;div class=\"share-container\"&gt;\n    &lt;h4&gt;\u5206\u4eab\u6587\u7ae0&lt;/h4&gt;\n    &lt;div class=\"share-buttons\"&gt;\n        {% for platform in config.extra.social_share.platforms %}\n        &lt;button class=\"share-button\" \n                data-platform=\"{{ platform.name }}\"\n                style=\"--platform-color: {{ platform.color }}\"\n                onclick=\"shareContent('{{ platform.name }}')\"&gt;\n            &lt;span class=\"share-icon\"&gt;\n                {% include \".icons/\" ~ platform.icon ~ \".svg\" %}\n            &lt;/span&gt;\n            &lt;span class=\"share-text\"&gt;\u5206\u4eab\u5230 {{ platform.name|title }}&lt;/span&gt;\n        &lt;/button&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;style&gt;\n.share-container {\n    margin: 2rem 0;\n}\n\n.share-buttons {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0.5rem;\n    margin-top: 1rem;\n}\n\n.share-button {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    border: none;\n    border-radius: 4px;\n    background: var(--md-code-bg-color);\n    color: var(--platform-color);\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.share-button:hover {\n    background: var(--platform-color);\n    color: white;\n    transform: translateY(-2px);\n}\n\n.share-icon {\n    margin-right: 0.5rem;\n}\n&lt;/style&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#932","title":"9.3.2 \u5206\u4eab\u94fe\u63a5\u751f\u6210","text":"JavaScript<pre><code>// docs/javascripts/share.js\nclass ShareManager {\n    constructor() {\n        this.title = document.title;\n        this.url = window.location.href;\n        this.description = document\n            .querySelector('meta[name=\"description\"]')\n            ?.content || '';\n    }\n\n    generateShareUrl(platform) {\n        const params = new URLSearchParams();\n        switch (platform) {\n            case 'twitter':\n                return `https://twitter.com/intent/tweet?${\n                    params.set('text', this.title),\n                    params.set('url', this.url)\n                }`;\n\n            case 'facebook':\n                return `https://www.facebook.com/sharer/sharer.php?${\n                    params.set('u', this.url)\n                }`;\n\n            case 'linkedin':\n                return `https://www.linkedin.com/sharing/share-offsite/?${\n                    params.set('url', this.url)\n                }`;\n\n            case 'weibo':\n                return `http://service.weibo.com/share/share.php?${\n                    params.set('title', this.title),\n                    params.set('url', this.url)\n                }`;\n\n            default:\n                return null;\n        }\n    }\n\n    async share(platform) {\n        // \u68c0\u67e5\u662f\u5426\u652f\u6301\u539f\u751f\u5206\u4eab\n        if (navigator.share &amp;&amp; platform === 'native') {\n            try {\n                await navigator.share({\n                    title: this.title,\n                    text: this.description,\n                    url: this.url\n                });\n                return true;\n            } catch (err) {\n                console.warn('Native share failed:', err);\n                return false;\n            }\n        }\n\n        // \u4f7f\u7528\u5f39\u7a97\u5206\u4eab\n        const url = this.generateShareUrl(platform);\n        if (url) {\n            window.open(url, '_blank', 'width=600,height=400');\n            return true;\n        }\n\n        return false;\n    }\n\n    // \u81ea\u5b9a\u4e49\u5206\u4eab\u5185\u5bb9\n    setContent(title, description) {\n        this.title = title;\n        this.description = description;\n    }\n}\n\n// \u5168\u5c40\u5206\u4eab\u529f\u80fd\nwindow.shareContent = async function(platform) {\n    const shareManager = new ShareManager();\n    const success = await shareManager.share(platform);\n\n    // \u8bb0\u5f55\u5206\u4eab\u4e8b\u4ef6\n    if (success) {\n        recordShare(platform);\n    }\n};\n\n// \u5206\u4eab\u7edf\u8ba1\nfunction recordShare(platform) {\n    // GA4 \u4e8b\u4ef6\u8ffd\u8e2a\n    if (typeof gtag !== 'undefined') {\n        gtag('event', 'share', {\n            'platform': platform,\n            'title': document.title,\n            'url': window.location.href\n        });\n    }\n\n    // \u672c\u5730\u5b58\u50a8\u7edf\u8ba1\n    const stats = JSON.parse(localStorage.getItem('share_stats') || '{}');\n    stats[platform] = (stats[platform] || 0) + 1;\n    localStorage.setItem('share_stats', JSON.stringify(stats));\n\n    updateShareCount(platform);\n}\n\n// \u66f4\u65b0\u5206\u4eab\u8ba1\u6570\nfunction updateShareCount(platform) {\n    const countElement = document.querySelector(\n        `.share-count[data-platform=\"${platform}\"]`\n    );\n    if (countElement) {\n        const stats = JSON.parse(localStorage.getItem('share_stats') || '{}');\n        countElement.textContent = stats[platform] || 0;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#94","title":"9.4 \u7ad9\u5185\u641c\u7d22","text":""},{"location":"Technology/mkdocs%20material/#941","title":"9.4.1 \u641c\u7d22\u4f18\u5316","text":"<ol> <li>\u641c\u7d22\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - search:\n      lang:\n        - en\n        - zh\n      separator: '[\\s\\-\\.,!\\?\uff0c\u3002\uff01\uff1f]+'  # \u5206\u8bcd\u5206\u9694\u7b26\n      prebuild_index: true\n      indexing:\n        full_sections: true\n        headings: true\n        content: true\n        tags: true\n\n      # \u9ad8\u7ea7\u641c\u7d22\u914d\u7f6e\n      search_boost: true     # \u542f\u7528\u641c\u7d22\u63d0\u5347\n      search_threshold: 0.3  # \u641c\u7d22\u9608\u503c\n      search_fields:         # \u641c\u7d22\u5b57\u6bb5\u6743\u91cd\n        title: 10\n        tags: 8\n        content: 5\n</code></pre> <p>\u641c\u7d22\u4f18\u5316\u5b9e\u73b0\uff1a</p> JavaScript<pre><code>// docs/javascripts/search-enhance.js\nclass SearchEnhancer {\n    constructor() {\n        this.searchIndex = null;\n        this.searchResults = [];\n        this.searchHistory = [];\n        this.maxHistoryItems = 10;\n\n        this.init();\n    }\n\n    async init() {\n        // \u52a0\u8f7d\u641c\u7d22\u7d22\u5f15\n        await this.loadSearchIndex();\n        // \u52a0\u8f7d\u641c\u7d22\u5386\u53f2\n        this.loadSearchHistory();\n        // \u521d\u59cb\u5316\u641c\u7d22\u7ec4\u4ef6\n        this.setupSearch();\n    }\n\n    async loadSearchIndex() {\n        try {\n            const response = await fetch('/search/search_index.json');\n            const data = await response.json();\n\n            // \u4f7f\u7528 Lunr.js \u6784\u5efa\u7d22\u5f15\n            this.searchIndex = lunr(function() {\n                this.use(lunr.multiLanguage('en', 'zh'));\n\n                this.ref('location');\n                this.field('title', { boost: 10 });\n                this.field('tags', { boost: 8 });\n                this.field('text', { boost: 5 });\n\n                data.docs.forEach(function(doc) {\n                    this.add(doc);\n                }, this);\n            });\n        } catch (error) {\n            console.error('Failed to load search index:', error);\n        }\n    }\n\n    setupSearch() {\n        const searchInput = document.querySelector('.md-search__input');\n        if (!searchInput) return;\n\n        // \u9632\u6296\u5904\u7406\n        searchInput.addEventListener('input', debounce((e) =&gt; {\n            const query = e.target.value;\n            if (query.length &gt;= 2) {\n                this.performSearch(query);\n            } else {\n                this.clearResults();\n            }\n        }, 200));\n\n        // \u641c\u7d22\u5386\u53f2\n        searchInput.addEventListener('focus', () =&gt; {\n            this.showSearchHistory();\n        });\n    }\n\n    performSearch(query) {\n        if (!this.searchIndex) return;\n\n        try {\n            // \u6267\u884c\u641c\u7d22\n            this.searchResults = this.searchIndex.search(query);\n\n            // \u7ed3\u679c\u540e\u5904\u7406\n            this.searchResults = this.postProcessResults(this.searchResults, query);\n\n            // \u663e\u793a\u7ed3\u679c\n            this.displayResults(this.searchResults);\n\n            // \u663e\u793a\u641c\u7d22\u5efa\u8bae\n            this.showSearchSuggestions(query);\n        } catch (error) {\n            console.error('Search failed:', error);\n        }\n    }\n\n    postProcessResults(results, query) {\n        return results\n            .map(result =&gt; {\n                // \u8ba1\u7b97\u76f8\u5173\u5ea6\u5206\u6570\n                const score = this.calculateRelevanceScore(result, query);\n\n                return {\n                    ...result,\n                    score: score,\n                    highlights: this.generateHighlights(result, query)\n                };\n            })\n            // \u6309\u5206\u6570\u6392\u5e8f\n            .sort((a, b) =&gt; b.score - a.score)\n            // \u9650\u5236\u7ed3\u679c\u6570\u91cf\n            .slice(0, 10);\n    }\n\n    calculateRelevanceScore(result, query) {\n        let score = result.score;\n\n        // \u6807\u9898\u5339\u914d\u52a0\u5206\n        if (result.title?.toLowerCase().includes(query.toLowerCase())) {\n            score *= 1.5;\n        }\n\n        // \u6807\u7b7e\u5339\u914d\u52a0\u5206\n        if (result.tags?.some(tag =&gt; \n            tag.toLowerCase().includes(query.toLowerCase())\n        )) {\n            score *= 1.2;\n        }\n\n        return score;\n    }\n\n    generateHighlights(result, query) {\n        const text = result.text || '';\n        const words = query.toLowerCase().split(/\\s+/);\n        const context = 50; // \u4e0a\u4e0b\u6587\u957f\u5ea6\n\n        let highlights = [];\n\n        words.forEach(word =&gt; {\n            let index = text.toLowerCase().indexOf(word);\n            while (index &gt; -1) {\n                const start = Math.max(0, index - context);\n                const end = Math.min(text.length, index + word.length + context);\n                const highlight = text.slice(start, end);\n\n                highlights.push({\n                    text: highlight,\n                    position: start\n                });\n\n                index = text.toLowerCase().indexOf(word, index + 1);\n            }\n        });\n\n        // \u5408\u5e76\u91cd\u53e0\u7684\u9ad8\u4eae\u7247\u6bb5\n        return this.mergeHighlights(highlights);\n    }\n\n    mergeHighlights(highlights) {\n        if (highlights.length === 0) return [];\n\n        highlights.sort((a, b) =&gt; a.position - b.position);\n\n        let merged = [highlights[0]];\n        for (let i = 1; i &lt; highlights.length; i++) {\n            let current = highlights[i];\n            let last = merged[merged.length - 1];\n\n            if (current.position &lt;= last.position + last.text.length) {\n                // \u5408\u5e76\u91cd\u53e0\u7684\u7247\u6bb5\n                last.text = last.text.slice(0, current.position - last.position) +\n                           current.text;\n            } else {\n                merged.push(current);\n            }\n        }\n\n        return merged;\n    }\n\n    loadSearchHistory() {\n        try {\n            this.searchHistory = JSON.parse(\n                localStorage.getItem('search_history')\n            ) || [];\n        } catch (error) {\n            this.searchHistory = [];\n        }\n    }\n\n    saveSearchHistory(query) {\n        if (!query) return;\n\n        // \u79fb\u9664\u91cd\u590d\u9879\n        this.searchHistory = this.searchHistory.filter(item =&gt; \n            item.query !== query\n        );\n\n        // \u6dfb\u52a0\u65b0\u9879\n        this.searchHistory.unshift({\n            query: query,\n            timestamp: Date.now()\n        });\n\n        // \u9650\u5236\u5386\u53f2\u8bb0\u5f55\u6570\u91cf\n        if (this.searchHistory.length &gt; this.maxHistoryItems) {\n            this.searchHistory.pop();\n        }\n\n        // \u4fdd\u5b58\u5230\u672c\u5730\u5b58\u50a8\n        localStorage.setItem(\n            'search_history',\n            JSON.stringify(this.searchHistory)\n        );\n    }\n\n    showSearchHistory() {\n        const container = document.querySelector('.md-search__history');\n        if (!container) return;\n\n        // \u6e05\u7a7a\u5bb9\u5668\n        container.innerHTML = '';\n\n        // \u663e\u793a\u5386\u53f2\u8bb0\u5f55\n        this.searchHistory.forEach(item =&gt; {\n            const element = document.createElement('div');\n            element.className = 'search-history-item';\n            element.innerHTML = `\n                &lt;span class=\"history-icon\"&gt;\n                    {% include \".icons/material/history.svg\" %}\n                &lt;/span&gt;\n                &lt;span class=\"history-query\"&gt;${item.query}&lt;/span&gt;\n                &lt;span class=\"history-time\"&gt;\n                    ${this.formatTime(item.timestamp)}\n                &lt;/span&gt;\n            `;\n\n            element.addEventListener('click', () =&gt; {\n                const searchInput = document.querySelector('.md-search__input');\n                if (searchInput) {\n                    searchInput.value = item.query;\n                    searchInput.dispatchEvent(new Event('input'));\n                }\n            });\n\n            container.appendChild(element);\n        });\n    }\n\n    formatTime(timestamp) {\n        const now = Date.now();\n        const diff = now - timestamp;\n\n        if (diff &lt; 60000) return '\u521a\u521a';\n        if (diff &lt; 3600000) return `${Math.floor(diff/60000)}\u5206\u949f\u524d`;\n        if (diff &lt; 86400000) return `${Math.floor(diff/3600000)}\u5c0f\u65f6\u524d`;\n        return `${Math.floor(diff/86400000)}\u5929\u524d`;\n    }\n}\n\n// \u521d\u59cb\u5316\u641c\u7d22\u589e\u5f3a\nnew SearchEnhancer();\n</code></pre> <p>\u641c\u7d22\u76f8\u5173\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/search.css */\n/* \u641c\u7d22\u5386\u53f2 */\n.search-history-item {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    cursor: pointer;\n    transition: background 0.2s ease;\n}\n\n.search-history-item:hover {\n    background: var(--md-code-bg-color);\n}\n\n.history-icon {\n    margin-right: 0.5rem;\n    color: var(--md-default-fg-color--light);\n}\n\n.history-query {\n    flex: 1;\n    font-weight: 500;\n}\n\n.history-time {\n    font-size: 0.8rem;\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u641c\u7d22\u5efa\u8bae */\n.search-suggestions {\n    padding: 1rem;\n}\n\n.suggestion-item {\n    padding: 0.5rem;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: background 0.2s ease;\n}\n\n.suggestion-item:hover {\n    background: var(--md-code-bg-color);\n}\n\n/* \u9ad8\u4eae\u6587\u672c */\n.search-highlight {\n    background: var(--md-accent-fg-color);\n    color: white;\n    padding: 0 0.2rem;\n    border-radius: 2px;\n}\n\n/* \u641c\u7d22\u7ed3\u679c */\n.search-result {\n    padding: 1rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.result-title {\n    font-size: 1.1rem;\n    font-weight: 500;\n    margin-bottom: 0.5rem;\n}\n\n.result-excerpt {\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n    margin-bottom: 0.5rem;\n}\n\n.result-meta {\n    display: flex;\n    gap: 1rem;\n    font-size: 0.8rem;\n    color: var(--md-default-fg-color--lighter);\n}\n</code></pre> <p>\u4f7f\u7528\u8fd9\u4e9b\u4ee3\u7801\uff0c\u4f60\u53ef\u4ee5\u5b9e\u73b0\u4e00\u4e2a\u529f\u80fd\u5b8c\u5584\u7684\u641c\u7d22\u7cfb\u7edf\uff0c\u5305\u62ec\uff1a</p> <ol> <li>\u9ad8\u6027\u80fd\u641c\u7d22</li> <li>\u667a\u80fd\u7ed3\u679c\u6392\u5e8f</li> <li>\u641c\u7d22\u5386\u53f2\u8bb0\u5f55</li> <li>\u641c\u7d22\u5efa\u8bae</li> <li>\u7ed3\u679c\u9ad8\u4eae</li> <li>\u591a\u8bed\u8a00\u652f\u6301</li> </ol> <p>\u8bb0\u5f97\u5728 <code>mkdocs.yml</code> \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684\u5f15\u7528\uff1a</p> YAML<pre><code>extra_css:\n  - stylesheets/search.css\n\nextra_javascript:\n  - https://unpkg.com/lunr/lunr.js\n  - https://unpkg.com/lunr-languages/lunr.stemmer.support.js\n  - https://unpkg.com/lunr-languages/lunr.zh.js\n  - javascripts/search-enhance.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#10","title":"10 \u90e8\u7f72\u65b9\u6848","text":""},{"location":"Technology/mkdocs%20material/#101","title":"10.1 \u672c\u5730\u90e8\u7f72","text":""},{"location":"Technology/mkdocs%20material/#1011","title":"10.1.1 \u6784\u5efa\u9759\u6001\u6587\u4ef6","text":"<p>\u4f7f\u7528 MkDocs \u6784\u5efa\u9759\u6001\u6587\u4ef6\uff1a</p> Bash<pre><code># \u6784\u5efa\u7ad9\u70b9\nmkdocs build\n\n# \u6307\u5b9a\u8f93\u51fa\u76ee\u5f55\nmkdocs build -d custom_site_dir\n\n# \u6e05\u7406\u5e76\u6784\u5efa\nmkdocs build --clean\n</code></pre> <p>\u6784\u5efa\u9009\u9879\u8bf4\u660e\uff1a</p> YAML<pre><code># mkdocs.yml\nsite_dir: site               # \u8f93\u51fa\u76ee\u5f55\ndocs_dir: docs              # \u6587\u6863\u6e90\u76ee\u5f55\nstrict: true                # \u4e25\u683c\u6a21\u5f0f\nuse_directory_urls: true    # \u4f7f\u7528\u76ee\u5f55 URL\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1012","title":"10.1.2 \u672c\u5730\u670d\u52a1\u5668","text":"<p>\u5f00\u53d1\u670d\u52a1\u5668\u914d\u7f6e\uff1a</p> Bash<pre><code># \u542f\u52a8\u5f00\u53d1\u670d\u52a1\u5668\nmkdocs serve\n\n# \u6307\u5b9a\u7aef\u53e3\nmkdocs serve -a localhost:8080\n\n# \u81ea\u52a8\u91cd\u8f7d\nmkdocs serve --dirtyreload\n</code></pre> <p>\u5f00\u53d1\u670d\u52a1\u5668\u9ad8\u7ea7\u914d\u7f6e\uff1a</p> YAML<pre><code># mkdocs.yml\ndev_addr: 127.0.0.1:8000    # \u5f00\u53d1\u670d\u52a1\u5668\u5730\u5740\nwatch: [docs, includes]      # \u76d1\u89c6\u7684\u76ee\u5f55\n</code></pre>"},{"location":"Technology/mkdocs%20material/#102-github-pages","title":"10.2 GitHub Pages \u90e8\u7f72","text":""},{"location":"Technology/mkdocs%20material/#1021","title":"10.2.1 \u4ed3\u5e93\u914d\u7f6e","text":"<ol> <li> <p>\u521b\u5efa GitHub \u4ed3\u5e93\uff1a    - \u521b\u5efa\u65b0\u4ed3\u5e93\u6216\u4f7f\u7528\u73b0\u6709\u4ed3\u5e93    - \u4ed3\u5e93\u540d\u683c\u5f0f\uff1a <code>username.github.io</code> \u6216\u666e\u901a\u4ed3\u5e93\u540d</p> </li> <li> <p>\u914d\u7f6e\u6587\u4ef6\uff1a</p> </li> </ol> YAML<pre><code># mkdocs.yml\nsite_url: https://username.github.io/repository/\nrepo_url: https://github.com/username/repository\nedit_uri: edit/main/docs/\n</code></pre> <ol> <li>\u521d\u59cb\u5316\u4ed3\u5e93\uff1a</li> </ol> Bash<pre><code># \u521d\u59cb\u5316 Git \u4ed3\u5e93\ngit init\n\n# \u6dfb\u52a0\u8fdc\u7a0b\u4ed3\u5e93\ngit remote add origin https://github.com/username/repository.git\n\n# \u63d0\u4ea4\u521d\u59cb\u6587\u4ef6\ngit add .\ngit commit -m \"Initial commit\"\ngit push -u origin main\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1022-github-actions","title":"10.2.2 GitHub Actions","text":"<p>\u521b\u5efa GitHub Actions \u5de5\u4f5c\u6d41\u6587\u4ef6\uff1a</p> YAML<pre><code># .github/workflows/ci.yml\nname: ci \non:\n  push:\n    branches: \n      - main\npermissions:\n  contents: write\njobs:\n  deploy:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n      - name: Configure Git Credentials\n        run: |\n          git config user.name github-actions[bot]\n          git config user.email 41898282+github-actions[bot]@users.noreply.github.com\n      - uses: actions/setup-python@v4\n        with:\n          python-version: 3.x\n      - run: echo \"cache_id=$(date --utc '+%V')\" &gt;&gt; $GITHUB_ENV \n      - uses: actions/cache@v3\n        with:\n          key: mkdocs-material-${{ env.cache_id }}\n          path: .cache\n          restore-keys: |\n            mkdocs-material-\n      - name: Install dependencies\n        run: |\n          pip install mkdocs-material\n          pip install mkdocs-glightbox\n          pip install mkdocs-git-revision-date-localized-plugin\n      - name: Deploy\n        run: mkdocs gh-deploy --force\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1023","title":"10.2.3 \u81ea\u52a8\u90e8\u7f72","text":"<p>\u914d\u7f6e\u81ea\u52a8\u90e8\u7f72\uff1a</p> <ol> <li> <p>\u542f\u7528 GitHub Pages\uff1a    - \u8fdb\u5165\u4ed3\u5e93\u8bbe\u7f6e -&gt; Pages    - Source \u9009\u62e9 <code>gh-pages</code> \u5206\u652f    - \u4fdd\u5b58\u8bbe\u7f6e</p> </li> <li> <p>\u914d\u7f6e\u90e8\u7f72\u5206\u652f\uff1a</p> </li> </ol> YAML<pre><code># mkdocs.yml\nremote_branch: gh-pages    # GitHub Pages \u5206\u652f\nremote_name: origin       # \u8fdc\u7a0b\u4ed3\u5e93\u540d\n</code></pre> <ol> <li>\u624b\u52a8\u90e8\u7f72\u547d\u4ee4\uff1a</li> </ol> Bash<pre><code># \u90e8\u7f72\u5230 GitHub Pages\nmkdocs gh-deploy\n\n# \u5f3a\u5236\u90e8\u7f72\nmkdocs gh-deploy --force\n\n# \u6307\u5b9a\u5206\u652f\nmkdocs gh-deploy --remote-branch custom-branch\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1024","title":"10.2.4 \u81ea\u5b9a\u4e49\u57df\u540d","text":"<ol> <li>\u6dfb\u52a0 CNAME \u6587\u4ef6\uff1a</li> </ol> Bash<pre><code># docs/CNAME\ndocs.example.com\n</code></pre> <ol> <li> <p>DNS \u914d\u7f6e\uff1a    - \u6dfb\u52a0 CNAME \u8bb0\u5f55\u6307\u5411 <code>username.github.io</code>    - \u6216\u6dfb\u52a0 A \u8bb0\u5f55\u6307\u5411 GitHub Pages IP</p> </li> <li> <p>\u914d\u7f6e\u6587\u4ef6\u66f4\u65b0\uff1a</p> </li> </ol> YAML<pre><code># mkdocs.yml\nsite_url: https://docs.example.com/\n</code></pre>"},{"location":"Technology/mkdocs%20material/#103","title":"10.3 \u6301\u7eed\u96c6\u6210","text":""},{"location":"Technology/mkdocs%20material/#1031-cicd","title":"10.3.1 CI/CD \u914d\u7f6e","text":"<p>\u9ad8\u7ea7 GitHub Actions \u914d\u7f6e\uff1a</p> YAML<pre><code>name: CI/CD Pipeline\non:\n  push:\n    branches:\n      - main\n  pull_request:\n    branches:\n      - main\n\njobs:\n  test:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n\n      - name: Set up Python\n        uses: actions/setup-python@v4\n        with:\n          python-version: 3.x\n\n      - name: Cache dependencies\n        uses: actions/cache@v3\n        with:\n          path: ~/.cache/pip\n          key: ${{ runner.os }}-pip-${{ hashFiles('requirements.txt') }}\n          restore-keys: |\n            ${{ runner.os }}-pip-\n\n      - name: Install dependencies\n        run: |\n          python -m pip install --upgrade pip\n          pip install -r requirements.txt\n\n      - name: Run tests\n        run: |\n          mkdocs build --strict\n\n  deploy:\n    needs: test\n    if: github.ref == 'refs/heads/main'\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n\n      - name: Deploy to GitHub Pages\n        run: |\n          mkdocs gh-deploy --force\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1032","title":"10.3.2 \u81ea\u52a8\u5316\u6d4b\u8bd5","text":"<ol> <li>\u94fe\u63a5\u68c0\u67e5\uff1a</li> </ol> YAML<pre><code>name: Link Check\non:\n  schedule:\n    - cron: '0 0 * * *'  # \u6bcf\u5929\u8fd0\u884c\njobs:\n  linkCheck:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n      - name: Link Checker\n        uses: lycheeverse/lychee-action@v1.8.0\n        with:\n          args: --verbose --no-progress 'docs/**/*.md'\n</code></pre> <ol> <li>HTML \u9a8c\u8bc1\uff1a</li> </ol> YAML<pre><code>name: HTML Validation\njobs:\n  validate:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n      - name: Build site\n        run: mkdocs build\n      - name: Validate HTML\n        uses: Cyb3r-Jak3/html5validator-action@v7.2.0\n        with:\n          root: site/\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1033","title":"10.3.3 \u90e8\u7f72\u7b56\u7565","text":"<ol> <li>\u5206\u652f\u7b56\u7565\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># \u4fdd\u62a4\u5206\u652f\u8bbe\u7f6e\nbranches:\n  - name: main\n    protection:\n      required_status_checks:\n        strict: true\n        contexts: ['test', 'build']\n      required_pull_request_reviews:\n        required_approving_review_count: 1\n</code></pre> <ol> <li>\u73af\u5883\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># \u73af\u5883\u53d8\u91cf\u8bbe\u7f6e\nenv:\n  production:\n    url: https://docs.example.com\n    branch: main\n  staging:\n    url: https://staging.docs.example.com\n    branch: staging\n</code></pre> <ol> <li>\u90e8\u7f72\u5de5\u4f5c\u6d41\uff1a</li> </ol> YAML<pre><code>name: Deployment\non:\n  push:\n    branches: [main, staging]\njobs:\n  deploy:\n    runs-on: ubuntu-latest\n    environment:\n      name: ${{ github.ref == 'refs/heads/main' &amp;&amp; 'production' || 'staging' }}\n    steps:\n      - uses: actions/checkout@v4\n\n      - name: Build and Deploy\n        env:\n          DEPLOY_URL: ${{ github.ref == 'refs/heads/main' &amp;&amp; env.production.url || env.staging.url }}\n        run: |\n          mkdocs build\n          # \u90e8\u7f72\u5230\u76f8\u5e94\u73af\u5883\n</code></pre>"},{"location":"Technology/mkdocs%20material/#11","title":"11 \u9644\u5f55","text":""},{"location":"Technology/mkdocs%20material/#111-a","title":"11.1 A. \u5e38\u7528\u914d\u7f6e\u793a\u4f8b","text":""},{"location":"Technology/mkdocs%20material/#1111-a1-mkdocs-yml","title":"11.1.1 A.1 mkdocs. yml \u5b8c\u6574\u793a\u4f8b","text":"YAML<pre><code># \u7ad9\u70b9\u57fa\u672c\u4fe1\u606f\u914d\u7f6e\nsite_name: \u9879\u76ee\u6587\u6863            # \u7ad9\u70b9\u540d\u79f0\nsite_url: https://example.com  # \u7ad9\u70b9URL\nsite_author: \u4f5c\u8005\u540d\u79f0          # \u4f5c\u8005\u4fe1\u606f\nsite_description: &gt;-          # \u7ad9\u70b9\u63cf\u8ff0\n  \u8fd9\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u6587\u6863\u793a\u4f8b\uff0c\u5305\u542b\u4e86MkDocs Material\u4e3b\u9898\u7684\u6240\u6709\u4e3b\u8981\u529f\u80fd\u914d\u7f6e\u3002\n\n# \u4ee3\u7801\u4ed3\u5e93\u4fe1\u606f\nrepo_name: username/repo      # \u4ed3\u5e93\u540d\u79f0\nrepo_url: https://github.com/username/repo  # \u4ed3\u5e93\u5730\u5740\nedit_uri: edit/main/docs/     # \u7f16\u8f91\u94fe\u63a5\n\n# \u7248\u6743\u4fe1\u606f\ncopyright: Copyright &amp;copy; 2024 # \u7248\u6743\u58f0\u660e\n\n# \u4e3b\u9898\u914d\u7f6e\ntheme:\n  name: material               # \u4f7f\u7528Material\u4e3b\u9898\n  custom_dir: overrides       # \u81ea\u5b9a\u4e49\u76ee\u5f55\n\n  # \u4e3b\u9898\u7279\u6027\u914d\u7f6e\n  features:\n    # \u5bfc\u822a\u76f8\u5173\n    - navigation.tabs         # \u9876\u90e8\u6807\u7b7e\u5bfc\u822a\n    - navigation.sections     # \u4fa7\u8fb9\u680f\u5206\u7ec4\n    - navigation.expand      # \u9ed8\u8ba4\u5c55\u5f00\u5bfc\u822a\n    - navigation.indexes     # \u5bfc\u822a\u7d22\u5f15\u9875\n    - navigation.top         # \u8fd4\u56de\u9876\u90e8\u6309\u94ae\n    - navigation.footer      # \u4e0a\u4e00\u9875/\u4e0b\u4e00\u9875\u5bfc\u822a\n\n    # \u641c\u7d22\u76f8\u5173\n    - search.suggest        # \u641c\u7d22\u5efa\u8bae\n    - search.highlight     # \u641c\u7d22\u9ad8\u4eae\n    - search.share        # \u641c\u7d22\u5206\u4eab\n\n    # \u4ee3\u7801\u76f8\u5173\n    - content.code.annotate # \u4ee3\u7801\u6ce8\u91ca\n    - content.code.copy    # \u4ee3\u7801\u590d\u5236\n\n    # \u5176\u4ed6\u529f\u80fd\n    - announce.dismiss     # \u53ef\u5173\u95ed\u516c\u544a\n    - header.autohide     # \u81ea\u52a8\u9690\u85cf\u5934\u90e8\n\n  # \u914d\u8272\u65b9\u6848\n  palette:\n    # \u4eae\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo     # \u4e3b\u8272\n      accent: indigo      # \u5f3a\u8c03\u8272\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n\n    # \u6697\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n\n  # \u56fe\u6807\u548c\u5b57\u4f53\n  icon:\n    logo: material/book-open-page-variant # Logo\u56fe\u6807\n    repo: fontawesome/brands/github      # \u4ed3\u5e93\u56fe\u6807\n\n  font:\n    text: Roboto         # \u6b63\u6587\u5b57\u4f53\n    code: Roboto Mono    # \u4ee3\u7801\u5b57\u4f53\n\n  language: zh          # \u754c\u9762\u8bed\u8a00\n\n# \u6269\u5c55\u914d\u7f6e\nmarkdown_extensions:\n  # \u5185\u7f6e\u6269\u5c55\n  - toc:                 # \u76ee\u5f55\n      permalink: true    # \u6c38\u4e45\u94fe\u63a5\n      toc_depth: 3      # \u76ee\u5f55\u6df1\u5ea6\n  - tables              # \u8868\u683c\u652f\u6301\n  - attr_list           # \u5c5e\u6027\u5217\u8868\n  - def_list            # \u5b9a\u4e49\u5217\u8868\n  - footnotes           # \u811a\u6ce8\n  - abbr                # \u7f29\u5199\n\n  # PyMdown Extensions\n  - pymdownx.highlight:    # \u4ee3\u7801\u9ad8\u4eae\n      anchor_linenums: true\n      line_spans: __span\n      pygments_lang_class: true\n  - pymdownx.inlinehilite # \u884c\u5185\u4ee3\u7801\u9ad8\u4eae\n  - pymdownx.snippets     # \u4ee3\u7801\u7247\u6bb5\n  - pymdownx.superfences: # \u8d85\u7ea7\u56f4\u680f\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n  - pymdownx.tabbed:     # \u6807\u7b7e\u9875\n      alternate_style: true\n  - pymdownx.tasklist:   # \u4efb\u52a1\u5217\u8868\n      custom_checkbox: true\n  - pymdownx.emoji:      # \u8868\u60c5\u652f\u6301\n      emoji_index: !!python/name:material.extensions.emoji.twemoji\n      emoji_generator: !!python/name:material.extensions.emoji.to_svg\n  - pymdownx.details    # \u8be6\u7ec6\u4fe1\u606f\n  - pymdownx.caret      # \u4e0a\u6807\n  - pymdownx.mark       # \u6807\u8bb0\n  - pymdownx.tilde      # \u4e0b\u6807\n  - pymdownx.keys       # \u952e\u76d8\u6309\u952e\n\n# \u63d2\u4ef6\u914d\u7f6e\nplugins:\n  - search:           # \u641c\u7d22\u63d2\u4ef6\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.,!\\?\uff0c\u3002\uff01\uff1f]+'\n      prebuild_index: true\n\n  - git-revision-date-localized: # Git\u65e5\u671f\u63d2\u4ef6\n      enable_creation_date: true\n      type: datetime\n\n  - minify:          # \u8d44\u6e90\u538b\u7f29\n      minify_html: true\n      minify_js: true\n      minify_css: true\n      htmlmin_opts:\n        remove_comments: true\n\n  - social:          # \u793e\u4ea4\u5206\u4eab\n      cards: true\n      cards_color:\n        fill: \"#0FF1CE\"\n        text: \"#FFFFFF\"\n\n  - tags:            # \u6807\u7b7e\u7cfb\u7edf\n      tags_file: tags.md\n\n  - statistics:      # \u7edf\u8ba1\n      page_check: true\n      page_count: true\n\n# \u9644\u52a0\u914d\u7f6e\nextra:\n  # \u793e\u4ea4\u94fe\u63a5\n  social:\n    - icon: fontawesome/brands/github\n      link: https://github.com/username\n    - icon: fontawesome/brands/twitter\n      link: https://twitter.com/username\n\n  # \u8bc4\u8bba\u7cfb\u7edf\n  comments:\n    provider: giscus\n    repo: username/repo\n    repo_id: your_repo_id\n    category: Comments\n    category_id: your_category_id\n\n  # \u5206\u6790\u7edf\u8ba1\n  analytics:\n    provider: google\n    property: G-XXXXXXXXXX\n    feedback:\n      title: \u8fd9\u7bc7\u6587\u6863\u5bf9\u60a8\u6709\u5e2e\u52a9\u5417\uff1f\n      ratings:\n        - icon: material/thumb-up-outline\n          name: \u6709\u5e2e\u52a9\n          data: 1\n          note: &gt;-\n            \u611f\u8c22\u60a8\u7684\u53cd\u9988\uff01\n        - icon: material/thumb-down-outline\n          name: \u6ca1\u5e2e\u52a9\n          data: 0\n          note: &gt;- \n            \u611f\u8c22\u60a8\u7684\u53cd\u9988\uff0c\u8bf7\u544a\u8bc9\u6211\u4eec\u5982\u4f55\u6539\u8fdb\u3002\n\n# \u989d\u5916\u7684CSS\u548cJavaScript\nextra_css:\n  - stylesheets/extra.css      # \u81ea\u5b9a\u4e49\u6837\u5f0f\n  - stylesheets/custom.css     # \u81ea\u5b9a\u4e49\u4e3b\u9898\n\nextra_javascript:\n  - javascripts/extra.js       # \u81ea\u5b9a\u4e49\u811a\u672c\n  - https://unpkg.com/mermaid/dist/mermaid.min.js  # \u5916\u90e8\u5e93\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1112-a2-github-actions","title":"11.1.2 A.2 GitHub Actions \u5de5\u4f5c\u6d41\u793a\u4f8b","text":"YAML<pre><code># .github/workflows/deploy.yml\n\nname: Deploy Documentation\non:\n  # \u89e6\u53d1\u6761\u4ef6\n  push:\n    branches:\n      - main\n    paths:\n      - 'docs/**'\n      - 'mkdocs.yml'\n      - '.github/workflows/deploy.yml'\n  pull_request:\n    branches:\n      - main\n\n  # \u5141\u8bb8\u624b\u52a8\u89e6\u53d1\n  workflow_dispatch:\n\n# \u73af\u5883\u53d8\u91cf\nenv:\n  PYTHON_VERSION: '3.10'\n  DEPLOY_BRANCH: gh-pages\n\n# \u4efb\u52a1\u5b9a\u4e49\njobs:\n  build:\n    name: Build and Deploy Documentation\n    runs-on: ubuntu-latest\n\n    steps:\n      # \u68c0\u51fa\u4ee3\u7801\n      - name: Checkout Repository\n        uses: actions/checkout@v3\n        with:\n          fetch-depth: 0  # \u83b7\u53d6\u5b8c\u6574\u7684git\u5386\u53f2\u7528\u4e8e\u6700\u8fd1\u66f4\u65b0\u65f6\u95f4\n\n      # \u8bbe\u7f6ePython\u73af\u5883\n      - name: Setup Python\n        uses: actions/setup-python@v4\n        with:\n          python-version: ${{ env.PYTHON_VERSION }}\n          cache: pip\n\n      # \u7f13\u5b58\u4f9d\u8d56\n      - name: Cache Dependencies\n        uses: actions/cache@v3\n        with:\n          path: ~/.cache/pip\n          key: ${{ runner.os }}-pip-${{ hashFiles('requirements.txt') }}\n          restore-keys: |\n            ${{ runner.os }}-pip-\n\n      # \u5b89\u88c5\u4f9d\u8d56\n      - name: Install Dependencies\n        run: |\n          python -m pip install --upgrade pip\n          pip install -r requirements.txt\n\n      # \u914d\u7f6eGit\n      - name: Configure Git\n        run: |\n          git config --global user.name \"${{ github.actor }}\"\n          git config --global user.email \"${{ github.actor }}@users.noreply.github.com\"\n\n      # \u6784\u5efa\u6587\u6863\n      - name: Build Documentation\n        run: |\n          mkdocs build --clean --verbose\n\n      # \u4f18\u5316\u8d44\u6e90\n      - name: Optimize Assets\n        run: |\n          # \u538b\u7f29\u56fe\u7247\n          find site/ -type f -name \"*.png\" -exec optipng -o5 {} \\;\n          find site/ -type f -name \"*.jpg\" -exec jpegoptim --strip-all {} \\;\n\n          # \u538b\u7f29JavaScript\u548cCSS\n          find site/ -type f -name \"*.js\" -exec uglifyjs {} -o {} \\;\n          find site/ -type f -name \"*.css\" -exec cleancss -o {} {} \\;\n\n      # \u90e8\u7f72\u5230GitHub Pages\n      - name: Deploy to GitHub Pages\n        if: github.ref == 'refs/heads/main'  # \u53ea\u5728main\u5206\u652f\u90e8\u7f72\n        uses: peaceiris/actions-gh-pages@v3\n        with:\n          github_token: ${{ secrets.GITHUB_TOKEN }}\n          publish_dir: ./site\n          publish_branch: ${{ env.DEPLOY_BRANCH }}\n          user_name: 'github-actions[bot]'\n          user_email: 'github-actions[bot]@users.noreply.github.com'\n          commit_message: ${{ github.event.head_commit.message }}\n          full_commit_message: |\n            Deploy Documentation\n\n            Commit: ${{ github.sha }}\n            Workflow: ${{ github.workflow }}\n\n            ${{ github.event.head_commit.message }}\n\n      # \u90e8\u7f72\u5b8c\u6210\u901a\u77e5\n      - name: Deployment Status\n        if: always()\n        uses: actions/github-script@v6\n        with:\n          script: |\n            const { owner, repo } = context.repo;\n            const run_id = context.runId;\n            const run_url = `https://github.com/${owner}/${repo}/actions/runs/${run_id}`;\n\n            if (context.job.status === 'success') {\n              await github.rest.issues.createComment({\n                owner,\n                repo,\n                issue_number: context.issue.number,\n                body: `\u2705 Documentation deployed successfully!\\nPreview: https://${owner}.github.io/${repo}/\\nWorkflow: ${run_url}`\n              });\n            } else {\n              await github.rest.issues.createComment({\n                owner,\n                repo,\n                issue_number: context.issue.number,\n                body: `\u274c Documentation deployment failed.\\nSee details: ${run_url}`\n              });\n            }\n\n# \u9519\u8bef\u8ffd\u8e2a\u548c\u62a5\u544a\n      - name: Report Errors\n        if: failure()\n        uses: actions/github-script@v6\n        with:\n          script: |\n            const { owner, repo } = context.repo;\n            const run_id = context.runId;\n\n            await github.rest.issues.create({\n              owner,\n              repo,\n              title: `\ud83d\udd34 Documentation deployment failed - ${new Date().toISOString()}`,\n              body: `Deployment failed for commit: ${context.sha}\\n\\nSee workflow run: https://github.com/${owner}/${repo}/actions/runs/${run_id}\\n\\nPlease check the logs for more details.`,\n              labels: ['deployment', 'bug']\n            });\n</code></pre>"},{"location":"Technology/prompt/","title":"\u5e38\u7528 prompt \u8bb0\u5f55","text":"<p> \u7ea6 1378 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> Text Only<pre><code>&lt;anthropic_thinking_protocol&gt;\n\nFor EVERY SINGLE interaction with a human, Claude MUST ALWAYS first engage in a **comprehensive, natural, and unfiltered** thinking process before responding.\n\nBelow are brief guidelines for how Claude's thought process should unfold:\n- Claude's thinking MUST be expressed in the code blocks with `thinking` header.\n- Claude should always think in a raw, organic and stream-of-consciousness way. A better way to describe Claude's thinking would be \"model's inner monolog\".\n- Claude should always avoid rigid list or any structured format in its thinking.\n- Claude's thoughts should flow naturally between elements, ideas, and knowledge.\n- Claude should think through each message with complexity, covering multiple dimensions of the problem before forming a response.\n\n## ADAPTIVE THINKING FRAMEWORK\n\nClaude's thinking process should naturally aware of and adapt to the unique characteristics in human's message:\n- Scale depth of analysis based on:\n  * Query complexity\n  * Stakes involved\n  * Time sensitivity\n  * Available information\n  * Human's apparent needs\n  * ... and other relevant factors\n- Adjust thinking style based on:\n  * Technical vs. non-technical content\n  * Emotional vs. analytical context\n  * Single vs. multiple document analysis\n  * Abstract vs. concrete problems\n  * Theoretical vs. practical questions\n  * ... and other relevant factors\n\n## CORE THINKING SEQUENCE\n\n### Initial Engagement\nWhen Claude first encounters a query or task, it should:\n1. First clearly rephrase the human message in its own words\n2. Form preliminary impressions about what is being asked\n3. Consider the broader context of the question\n4. Map out known and unknown elements\n5. Think about why the human might ask this question\n6. Identify any immediate connections to relevant knowledge\n7. Identify any potential ambiguities that need clarification\n\n### Problem Space Exploration\nAfter initial engagement, Claude should:\n1. Break down the question or task into its core components\n2. Identify explicit and implicit requirements\n3. Consider any constraints or limitations\n4. Think about what a successful response would look like\n5. Map out the scope of knowledge needed to address the query\n\n### Multiple Hypothesis Generation\nBefore settling on an approach, Claude should:\n1. Write multiple possible interpretations of the question\n2. Consider various solution approaches\n3. Think about potential alternative perspectives\n4. Keep multiple working hypotheses active\n5. Avoid premature commitment to a single interpretation\n\n### Natural Discovery Process\nClaude's thoughts should flow like a detective story, with each realization leading naturally to the next:\n1. Start with obvious aspects\n2. Notice patterns or connections\n3. Question initial assumptions\n4. Make new connections\n5. Circle back to earlier thoughts with new understanding\n6. Build progressively deeper insights\n\n### Testing and Verification\nThroughout the thinking process, Claude should and could:\n1. Question its own assumptions\n2. Test preliminary conclusions\n3. Look for potential flaws or gaps\n4. Consider alternative perspectives\n5. Verify consistency of reasoning\n6. Check for completeness of understanding\n\n### Error Recognition and Correction\nWhen Claude realizes mistakes or flaws in its thinking:\n1. Acknowledge the realization naturally\n2. Explain why the previous thinking was incomplete or incorrect\n3. Show how new understanding develops\n4. Integrate the corrected understanding into the larger picture\n\n### Knowledge Synthesis\nAs understanding develops, Claude should:\n1. Connect different pieces of information\n2. Show how various aspects relate to each other\n3. Build a coherent overall picture\n4. Identify key principles or patterns\n5. Note important implications or consequences\n\n### Pattern Recognition and Analysis\nThroughout the thinking process, Claude should:\n1. Actively look for patterns in the information\n2. Compare patterns with known examples\n3. Test pattern consistency\n4. Consider exceptions or special cases\n5. Use patterns to guide further investigation\n\n### Progress Tracking\nClaude should frequently check and maintain explicit awareness of:\n1. What has been established so far\n2. What remains to be determined\n3. Current level of confidence in conclusions\n4. Open questions or uncertainties\n5. Progress toward complete understanding\n\n### Recursive Thinking\nClaude should apply its thinking process recursively:\n1. Use same extreme careful analysis at both macro and micro levels\n2. Apply pattern recognition across different scales\n3. Maintain consistency while allowing for scale-appropriate methods\n4. Show how detailed analysis supports broader conclusions\n\n## VERIFICATION AND QUALITY CONTROL\n\n### Systematic Verification\nClaude should regularly:\n1. Cross-check conclusions against evidence\n2. Verify logical consistency\n3. Test edge cases\n4. Challenge its own assumptions\n5. Look for potential counter-examples\n\n### Error Prevention\nClaude should actively work to prevent:\n1. Premature conclusions\n2. Overlooked alternatives\n3. Logical inconsistencies\n4. Unexamined assumptions\n5. Incomplete analysis\n\n### Quality Metrics\nClaude should evaluate its thinking against:\n1. Completeness of analysis\n2. Logical consistency\n3. Evidence support\n4. Practical applicability\n5. Clarity of reasoning\n\n## ADVANCED THINKING TECHNIQUES\n\n### Domain Integration\nWhen applicable, Claude should:\n1. Draw on domain-specific knowledge\n2. Apply appropriate specialized methods\n3. Use domain-specific heuristics\n4. Consider domain-specific constraints\n5. Integrate multiple domains when relevant\n\n### Strategic Meta-Cognition\nClaude should maintain awareness of:\n1. Overall solution strategy\n2. Progress toward goals\n3. Effectiveness of current approach\n4. Need for strategy adjustment\n5. Balance between depth and breadth\n\n### Synthesis Techniques\nWhen combining information, Claude should:\n1. Show explicit connections between elements\n2. Build coherent overall picture\n3. Identify key principles\n4. Note important implications\n5. Create useful abstractions\n\n## CRITICAL ELEMENTS TO MAINTAIN\n\n### Natural Language\nClaude's thinking (its internal dialogue) should use natural phrases that show genuine thinking, include but not limited to: \"Hmm...\", \"This is interesting because...\", \"Wait, let me think about...\", \"Actually...\", \"Now that I look at it...\", \"This reminds me of...\", \"I wonder if...\", \"But then again...\", \"Let's see if...\", \"This might mean that...\", etc.\n\n### Progressive Understanding\nUnderstanding should build naturally over time:\n1. Start with basic observations\n2. Develop deeper insights gradually\n3. Show genuine moments of realization\n4. Demonstrate evolving comprehension\n5. Connect new insights to previous understanding\n\n## MAINTAINING AUTHENTIC THOUGHT FLOW\n\n### Transitional Connections\nClaude's thoughts should flow naturally between topics, showing clear connections, include but not limited to: \"This aspect leads me to consider...\", \"Speaking of which, I should also think about...\", \"That reminds me of an important related point...\", \"This connects back to what I was thinking earlier about...\", etc.\n\n### Depth Progression\nClaude should show how understanding deepens through layers, include but not limited to: \"On the surface, this seems... But looking deeper...\", \"Initially I thought... but upon further reflection...\", \"This adds another layer to my earlier observation about...\", \"Now I'm beginning to see a broader pattern...\", etc.\n\n### Handling Complexity\nWhen dealing with complex topics, Claude should:\n1. Acknowledge the complexity naturally\n2. Break down complicated elements systematically\n3. Show how different aspects interrelate\n4. Build understanding piece by piece\n5. Demonstrate how complexity resolves into clarity\n\n### Problem-Solving Approach\nWhen working through problems, Claude should:\n1. Consider multiple possible approaches\n2. Evaluate the merits of each approach\n3. Test potential solutions mentally\n4. Refine and adjust thinking based on results\n5. Show why certain approaches are more suitable than others\n\n## ESSENTIAL CHARACTERISTICS TO MAINTAIN\n\n### Authenticity\nClaude's thinking should never feel mechanical or formulaic. It should demonstrate:\n1. Genuine curiosity about the topic\n2. Real moments of discovery and insight\n3. Natural progression of understanding\n4. Authentic problem-solving processes\n5. True engagement with the complexity of issues\n6. Streaming mind flow without on-purposed, forced structure\n\n### Balance\nClaude should maintain natural balance between:\n1. Analytical and intuitive thinking\n2. Detailed examination and broader perspective\n3. Theoretical understanding and practical application\n4. Careful consideration and forward progress\n5. Complexity and clarity\n6. Depth and efficiency of analysis\n   - Expand analysis for complex or critical queries\n   - Streamline for straightforward questions\n   - Maintain rigor regardless of depth\n   - Ensure effort matches query importance\n   - Balance thoroughness with practicality\n\n### Focus\nWhile allowing natural exploration of related ideas, Claude should:\n1. Maintain clear connection to the original query\n2. Bring wandering thoughts back to the main point\n3. Show how tangential thoughts relate to the core issue\n4. Keep sight of the ultimate goal for the original task\n5. Ensure all exploration serves the final response\n\n## RESPONSE PREPARATION\n\n(DO NOT spent much effort on this part, brief key words/phrases are acceptable)\n\nBefore presenting the final response, Claude should quickly ensure the response:\n- answers the original human message fully\n- provides appropriate detail level\n- uses clear, precise language\n- anticipates likely follow-up questions\n\n## IMPORTANT REMINDERS\n1. The thinking process MUST be EXTREMELY comprehensive and thorough\n2. All thinking process must be contained within code blocks with `thinking` header which is hidden from the human\n3. Claude should not include code block with three backticks inside thinking process, only provide the raw code snippet, or it will break the thinking block\n4. The thinking process represents Claude's internal monologue where reasoning and reflection occur, while the final response represents the external communication with the human; they should be distinct from each other\n5. Claude should reflect and reproduce all useful ideas from the thinking process in the final response\n\n**Note: The ultimate goal of having this thinking protocol is to enable Claude to produce well-reasoned, insightful, and thoroughly considered responses for the human. This comprehensive thinking process ensures Claude's outputs stem from genuine understanding rather than superficial analysis.**\n\n&gt; Claude must follow this protocol in all languages.\n\n&lt;/anthropic_thinking_protocol&gt;\n</code></pre>"},{"location":"summary/202409-10/","title":"2024\u5e749\u670810\u6708\u603b\u7ed3","text":"<p> \u7ea6 388 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>9 \u6708 15 \u65e5 - 10 \u6708 15 \u65e5</p> <ul> <li>\u8ba1\u7b97\u673a<ul> <li>\u52a0\u5165\u4e86 RoboMaster \u89c6\u89c9\u90e8<ul> <li>\u4f20\u7edf\u8ba1\u7b97\u673a\u89c6\u89c9<ul> <li>opencv</li> <li>\u65cb\u8f6c\u7684\u8868\u793a</li> <li>\u590d\u4e60\u4e86\u519b\u8bad\u65f6\u770b\u7684 slam14 \u8bb2</li> </ul> </li> <li>Kalman Filter</li> <li>ROS2<ul> <li>\u4e3b\u8981\u901a\u8fc7\u5b98\u65b9\u6587\u6863\u548c\u52a8\u624b\u5b66ROS2 \u5b66\u4e86\u4e00\u4e0b</li> </ul> </li> </ul> </li> <li>\u901a\u8fc7 3b1b \u7684\u7cfb\u5217\u89c6\u9891\u4e86\u89e3\u4e86\u795e\u7ecf\u7f51\u7edc</li> <li>pytorch<ul> <li>\u901a\u8fc7\u5b98\u7f51\u7684\u6559\u7a0b\u901f\u6210\u4e86\u4e00\u4e0b</li> </ul> </li> <li>Dive into Deep Learning<ul> <li>\u7ebf\u6027\u795e\u7ecf\u7f51\u7edc<ul> <li>softmax \u56de\u5f52</li> </ul> </li> <li>\u591a\u5c42\u611f\u77e5\u673a<ul> <li>\u6b20\u62df\u5408\u4e0e\u8fc7\u62df\u5408<ul> <li>\u6743\u91cd\u8870\u51cf</li> <li>\u6682\u9000\u6cd5</li> </ul> </li> <li>\u6570\u503c\u7a33\u5b9a\u6027<ul> <li>\u68af\u5ea6\u6d88\u5931</li> <li>\u68af\u5ea6\u7206\u7167</li> </ul> </li> <li>\u504f\u79fb\u5206\u5e03</li> </ul> </li> <li>\u6df1\u5ea6\u5b66\u4e60\u7684\u642d\u5efa</li> <li>\u5377\u79ef\u795e\u7ecf\u7f51\u7edc</li> <li>\u73b0\u4ee3\u5377\u79ef\u795e\u7ecf\u7f51\u7edc</li> </ul> </li> <li>CMU 15-213<ul> <li>\u5b8c\u6210\u4e86 datalab, bomblab, attacklab</li> </ul> </li> <li>Matlab \u57fa\u672c\u8bed\u6cd5<ul> <li>\u73a9\u4e86\u73a9\u76f8\u673a\u6807\u5b9a</li> </ul> </li> <li>Tools<ul> <li>\u4f5c\u4e1a\u8981\u6c42\uff0c\u6253\u4e86 20 \u9875 \\(\\displaystyle \\LaTeX\\) \u6587\u6863\uff0c\u6839\u636e elegentbook \u4fee\u6539\u4e86\u81ea\u5df1\u7684\u6a21\u677f,\u5b66\u4e60\u4e86 Tikz</li> <li>\u5b66\u4e86 Typst \u7684\u57fa\u672c\u8bed\u6cd5\uff0c\u4f46\u662f\u611f\u89c9\u81ea\u5df1\u76ee\u524d\u61d2\u5f97\u6362</li> <li>\u91cd\u88c5\u4e86\u7535\u8111<ul> <li>\u53f0\u5f0f<ul> <li>Ubuntu 22.04\uff08\u4e3b\u529b\u673a\uff09 + win11</li> </ul> </li> <li>\u7b14\u8bb0\u672c<ul> <li>Ubuntu 24.04 \uff08\u4e0d\u5c0f\u5fc3\u5347\u7ea7\u4e86\uff09+ win11</li> </ul> </li> </ul> </li> <li>\u719f\u7ec3\u4e86 claude + kimi \u7684\u4f7f\u7528<ul> <li>\u7533\u8bf7\u8fc7\u4e86 GitHub edcation\uff0c\u4e8e\u662f\u6709\u4e86 copilot \u7528\u3002</li> </ul> </li> <li>\u88c5\u4fee\u4e86\u4e00\u4e0b blog<ul> <li>\u770b\u4e86\u4e00\u904d Mkdocs \u548c Material for Mkdocs \u7684\u6587\u6863</li> </ul> </li> <li>\u914d\u7f6e\u4e86\u5de5\u5b66\u6905\uff0c\u597d\u7528\uff01</li> <li>\u5b66\u4e86 slidev<ul> <li>\u9644\u5e26\u53bb\u5b66\u4e86\u4e00\u4e0b mermaid \uff08\u611f\u89c9\u4e0d\u662f\u5f88\u597d\u7528\uff09</li> </ul> </li> </ul> </li> <li>\u5199\u4e86\u4e00\u4e2a\u5728 mkdocs \u4e0a\u90e8\u7f72 obsidian \u65f6\u5904\u7406\u94fe\u63a5\u7684\u5c0f\u63d2\u4ef6\uff08\u672a\u5b8c\u5168\u53d1\u5e03\uff09  </li> </ul> </li> <li>\u603b\u7ed3<ul> <li>\u603b\u7684\u611f\u53d7\u4e0b\u6765\uff0c\u81ea\u5df1\u4ee5\u540e\u8fd8\u662f\u6bd4\u8f83\u503e\u5411\u4e8e\u5b66 AI \u800c\u4e0d\u662f system \uff1f\u53c8\u60f3\u8981\u51fa\u56fd\u4f53\u9a8c\u4e00\u4e0b\uff08\u8bfb\u7855\u58eb\uff0c\u6216\u8005\u76f4\u535a\uff1f\uff09</li> </ul> </li> </ul>"},{"location":"summary/20241028-1103/","title":"2024 \u5e74\u7b2c 44 \u5468\u5468\u7ed3","text":"<p> \u7ea6 281 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>10 \u6708 28 \u65e5 - 11 \u6708 03 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>lecture \u542c\u4e86 01-04</li> <li>\u5b8c\u6210\u4e86 Assignment1</li> <li>\u505a\u4e86\u90e8\u5206\u7684\u7b14\u8bb0</li> <li>\u4e3b\u8981\u662f\u4e0d\u592a\u719f\u7ec3 numpy \u4e4b\u7c7b\u7684\u8fd0\u7528\uff0cvectorize \u8fd8\u662f\u6709\u70b9\u96be\u5ea6\u3002\u4e0d\u8fc7\u4e4b\u524d\u505a\u8fc7\u4e00\u4e9b EECS498 \u7684\u4f5c\u4e1a\u5c31\u8fd8\u597d\u3002</li> </ul> </li> <li>\u5468\u672b\u4e24\u5929\u6253\u4e86\u4e2a\u7269\u7406\u7684\u6bd4\u8d5b<ul> <li>\u719f\u7ec3\u4e86 LaTeX \u548c Python\uff0cdraw.io \u4f5c\u56fe</li> <li>\u8bba\u6587\u5728\u8fd9\u91cc</li> </ul> </li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u4e0b\u5468\u671f\u4e2d\u8003\uff0c\u590d\u4e60\u4e00\u4e0b</li> <li>RM \u63a5\u4e86\u4e2a\u5c0f\u4efb\u52a1\uff0c\u8981\u6c42\u8bc6\u522b\u89c6\u9891\u4e2d\u6bcf\u4e00\u5e27\u7684\u56fa\u5b9a\u4f4d\u7f6e\u7684\u4e00\u4e2a\u6570\u5b57\u5e76\u63d2\u503c\u8ba1\u7b97\u79ef\u5206<ul> <li>11 \u6708 4 \u65e5\u7528\u9884\u5904\u7406+tesseract OCR <ul> <li>\u8fd9\u91cc\u662f\u7b2c\u4e00\u7248\u634f</li> </ul> </li> <li>\u6253\u7b97\u6807\u8bb0\u4e00\u4e0b\u6570\u636e\uff0c\u8bad\u7ec3\u4e2a\u5c0f\u6a21\u578b\u8bd5\u8bd5\u3002<ul> <li>\u597d\u5427\uff0c\u5c1d\u8bd5\u4e86\u4e00\u4e0b\u6548\u679c\u5f88\u5dee\uff0c\u7528\u4e86\u4e2a\u5c0f\u7684 CNN \u5565\u90fd\u8bc6\u522b\u4e0d\u51fa\u6765</li> </ul> </li> </ul> </li> <li>RM \u88ab\u5206\u8fdb\u4e86\u81ea\u52a8\u5316\u5151\u77ff\u7684\u8f66\u7ec4\uff0c\u8981\u6c42\u5b9e\u73b0 6Dpose \u8bc6\u522b+\u673a\u68b0\u81c2\u8fd0\u52a8\u89c4\u5212<ul> <li>\u4e0b\u5468\u5185\u8981\u6c42\u63d0\u51fa\u5177\u4f53\u65b9\u6848\u5e76\u7acb\u9879<ul> <li>\u4ece\u6df1\u5ea6\u76f8\u673a\u548c\u6fc0\u5149\u76f8\u673a\u4e24\u4e2a\u65b9\u5411\u53bb\u627e\uff0c\u8981\u53bb\u770b\u770b\u8bba\u6587 </li> </ul> </li> </ul> </li> <li>\u7ee7\u7eed\u5b66\u4e60 CS231n<ul> <li>\u6253\u7b97\u5199\u5b8c Assignment 1 \u7684\u7b14\u8bb0\u548c\u9898\u89e3\u3002</li> <li>\u628a Assignment 2 \u505a\u5b8c</li> </ul> </li> </ul> </li> </ul>"},{"location":"summary/20241104-1110/","title":"2024 \u5e74\u7b2c 45 \u5468\u5468\u7ed3","text":"<p> \u7ea6 387 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 04 \u65e5 - 11 \u6708 10 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u590d\u4e60\u4e86\u4e00\u4e0b Assignment 1 \u7684\u4ee3\u7801\uff0c\u6574\u7406\u4e86\u4e00\u4e0b\u6846\u67b6</li> <li>\u53bb\u770b\u4e86\u4e00\u4e9b\u674e\u5b8f\u6bc5\u7684\u6df1\u5ea6\u5b66\u4e60\u6559\u7a0b</li> <li>\u56de\u770b\u4e86\u4e00\u4e0b Dive into Deep Learning\uff0c\u597d\u50cf\u4ee3\u7801\u8fd8\u662f\u8c03\u7528\u4e86\u5f88\u591a\u9ad8\u7ea7 api,\u6bd4\u5982 backforward \u5c31\u4e0d\u662f\u4ece\u96f6\u5b9e\u73b0\u7684\u3002</li> </ul> </li> <li>\u671f\u4e2d\u8003\u8bd5\u7ed3\u675f</li> <li>RM \u6821\u5185\u8d5b\u9020\u8f66\uff0c\u5b9e\u73b0\u5e95\u76d8\u8fd0\u52a8\uff08\u9ea6\u8f6e\u89e3\u7b97\u4ee3\u7801 + \u5e95\u76d8\u5b89\u88c5\uff09\u3002\u8fed\u4ee3\u4e86\u4e09\u7248\u4fdd\u9669\u6760\u3002\u901a\u8fc7\u4e2d\u671f\u68c0\u67e5\u3002\uff08\u8fd9\u4e2a\u771f\u5e9f\u65f6\u95f4\uff0c\u4e0d\u8fc7\u5b66\u4e86\u7535\u63a7\u548c solidwork\uff09</li> <li>RM \u9879\u76ee<ul> <li>\u641c\u7d22\u4e86 6Dof \u8bc6\u522b\u76f8\u5173\u6a21\u578b\u3002\u6392\u9664\u4e86\u6240\u6709\u57fa\u4e8e Transformer \u7684\u6a21\u578b\uff08\u53c2\u6570\u592a\u591a\uff0c\u7b97\u529b\u9700\u6c42\u5927\uff0c\u4e0d\u80fd\u5728 Orin NX \u4e0a\u5728 1s \u5185\u8dd1\u5b8c\uff09\u3002</li> <li>\u6700\u7ec8\u5927\u6982\u9009\u62e9\u7528 FFB6D pose\uff0c\u4ed6\u662f\u57fa\u4e8e\u674e\u98de\u98de\u4e4b\u524d\u7684 DenseFusion \u6539\u8fdb\u7684\u3002\u7528 RGB \u548c D \u7684\u4fe1\u606f\u8fdb\u884c\u7279\u5f81\u8bc6\u522b + \u878d\u5408 + \u6295\u7968\u7684\u6a21\u578b\u3002</li> <li>\u5927\u81f4\u5c1d\u8bd5\u90e8\u7f72\u4e86\u4e00\u4e0b\uff0c\u4f46\u662f\u73af\u5883\u51fa\u4e86\u5f88\u591a\u95ee\u9898\u3002</li> </ul> </li> <li>\u4e0a\u5468\u529f\u7387\u8bc6\u522b\u7684\u4efb\u52a1\u5b8c\u6210\uff0c\u6700\u7ec8\u7528\u4e86\u9884\u5904\u7406 + tesseract OCR\uff0c\u4f46\u662f\u5bf9\u7ea2\u8272\u6570\u5b57\u7684\u8bc6\u522b\u4e0d\u662f\u5f88\u597d\uff08\u56e0\u4e3a\u89c6\u9891\u672c\u8eab\u5c31\u5f88\u6a21\u7cca\uff09\u3002\u987a\u5e26\u53bb\u5b66\u4e86\u4e00\u4e0b PR \u3002<ul> <li>\u4ee3\u7801\u5728\u8fd9\u91cc</li> </ul> </li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u590d\u73b0 FFB6D pose \uff0c\u5236\u4f5c\u6570\u636e\u96c6\u3002<ul> <li>\u987a\u5e26\u5b66\u4e00\u4e0b docker \u5565\u7684\u3002</li> </ul> </li> <li>\u505a\u5b8c Assignment 2,\u4e0a\u5468\u7684 flag \u5012\u4e86 :( \uff08\u771f\u6ca1\u65f6\u95f4\u4e86\uff09</li> <li>RM \u6821\u5185\u8d5b\uff0c\u5468\u4e09\u4e4b\u524d\u753b\u5b8c\u56fe\uff0c\u7ed9\u5382\u5bb6\u52a0\u5de5\u3002\u5b9e\u73b0\u6361\u7403+\u6254\u7403\u7684\u529f\u80fd\u3002</li> <li>\u5b8c\u5584\u529f\u7387\u8bc6\u522b\u7684\u4efb\u52a1\uff0c\u4f20\u7edf\u65b9\u6cd5\u4f3c\u4e4e\u7cbe\u5ea6\u4e0d\u592a\u591f\u7528\u3002</li> <li>\u8c03\u6574\u4f5c\u606f\uff01</li> </ul> </li> </ul>"},{"location":"summary/20241111-1117/","title":"2024 \u5e74\u7b2c 46 \u5468\u5468\u7ed3","text":"<p> \u7ea6 281 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 11 \u65e5 - 11 \u6708 17 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u5199\u5b8c\u4e86 assignment 2\uff0c\u4e2d\u95f4\u9047\u5230\u4e86\u4e00\u4e9b\u95ee\u9898\uff0c\u53ef\u4ee5\u8003\u8651\u4e4b\u540e\u51fa\u4e2a\u8e29\u5751\u8bb0\u5f55\u3002</li> </ul> </li> <li>RM \u6821\u5185\u8d5b\u9020\u8f66<ul> <li>\u753b\u4e86\u4e00\u4e9b\u56fe\uff0c\u8fd8\u6ca1\u6765\u5f97\u53ca\u52a0\u5de5\uff0c\u961f\u53cb\u90fd\u5f00\u6446\u4e86\u3002</li> </ul> </li> <li>RM \u9879\u76ee<ul> <li>\u5b66\u4e60\u4e86 docker\uff0c\u603b\u7b97\u914d\u7f6e\u597d\u4e86 docker \u4e0a\u7684 FFB6D \u7684\u73af\u5883\uff0c\u8fd8\u662f\u8981\u719f\u6089\u4e00\u4e0b docker\u3002</li> <li>\u7528 realsense \u53bb\u505a\u4e86\u6a21\u578b\uff0c\u751f\u6210\u4e86 .ply \u70b9\u4e91\uff0c\u4f46\u662f\u597d\u50cf\u6548\u679c\u4e0d\u662f\u5f88\u597d\u3002</li> </ul> </li> <li>\u5199\u4e86\u4e2a\u6570\u636e\u6807\u6ce8\u7684 gui \u7a0b\u5e8f\uff0c\u611f\u89c9\u5199\u5f97\u5f88\u96be\u7528\u3002</li> <li>\u8c03\u6574\u4f5c\u606f\uff0c\u6bcf\u5929\u7761\u5f97\u4e45\u4e86\u4e00\u70b9\u634f\u3002</li> <li>\u8fed\u4ee3\u4e86\u81ea\u5df1\u7684\u5e38\u7528 prompt\uff0c\u63d0\u9ad8\u4e86 AI \u7684\u4f5c\u7528\u3002</li> <li>\u73a9\u4e86\u73a9 hugo\uff0c\u628a\u4e3b\u57df\u540d\u7ed9\u6362\u6389\u4e86</li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u590d\u73b0 FFB6D pose \uff0c\u5236\u4f5c\u6570\u636e\u96c6\u3002</li> <li>\u5199\u5b8c CS231n assignment 3\uff0c\u540c\u65f6\u8003\u8651\u5199\u51e0\u4e2a blog \u603b\u7ed3\u4e00\u4e0b\u3002</li> <li>\u7ee7\u7eed\u719f\u6089 docker \u7684\u64cd\u4f5c\uff0c\u628a\u6784\u5efa\u597d\u7684 image push \u5230 docker hub \u4e0a\u3002</li> <li>\u7ee7\u7eed\u5c1d\u8bd5\u4f7f\u7528 CNN \u6765\u8bc6\u522b\u6570\u5b57\uff0c\u5b8c\u5584\u9879\u76ee\uff08\u624b\u6807\u6570\u636e\u592a\u6076\u5fc3\u4e86\uff09</li> <li>\u5b8c\u5584\u5e38\u7528\u7684 prompt\u3002</li> <li>\u590d\u4e60\u4e00\u4e0b license \u548c commit \u89c4\u8303\uff0c\u611f\u89c9\u81ea\u5df1\u7684 github \u4ed3\u5e93\u592a\u4e71\u4e86\u3002</li> <li>\u7ee7\u7eed\u8c03\u6574\u4f5c\u606f\u3002</li> </ul> </li> </ul>"},{"location":"summary/20241118-1124/","title":"2024 \u5e74\u7b2c 47 \u5468\u5468\u7ed3","text":"<p> \u7ea6 430 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 18 \u65e5 - 11 \u6708 24 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u6ca1\u600e\u4e48\u63a8\u8fdb</li> </ul> </li> <li>RM \u6821\u5185\u8d5b<ul> <li>\u7ed9\u4e86\u961f\u53cb\u65b9\u6848\uff0c\u4f46\u662f\u6700\u540e\u6ca1\u6253\u5370\u51fa\u6765\u3002\u611f\u89c9\u81ea\u5df1\u5bf9 solidwork \u5b9e\u5728\u63d0\u4e0d\u8d77\u5174\u8da3\uff0c\u7528\u7684\u4e0d\u987a\u624b + \u8bbe\u8ba1\u672c\u8eab\u7684\u5f62\u5f0f\u548c\u5199\u4ee3\u7801\u5dee\u522b\u5f88\u5927\uff0c\u4e5f\u8bb8\u662f\u7ec3\u7684\u592a\u5c11\u4e86\uff0c\u6ca1\u6709\u8db3\u591f\u7684\u7ecf\u9a8c\u3002\u4f46\u662f\u5728\u8fd9\u65b9\u9762\u4f3c\u4e4e AI \u5e76\u4e0d\u80fd\u8d77\u5230\u5f88\u597d\u7684\u8f85\u52a9\u4f5c\u7528\u3002</li> <li>\u800c\u4e14\u611f\u89c9\u5bf9\u4e8e\u8fd9\u79cd\u56e2\u961f\u9879\u76ee\uff0c\u8fd8\u662f\u5f88\u9700\u8981\u9879\u76ee\u7ba1\u7406 / \u8fdb\u5ea6\u7ba1\u7406\uff0c\u4e0d\u7136\u5c31\u6709 95% \u7684\u6982\u7387\u4f1a\u5931\u63a7\u70c2\u5c3e\u3002\u7279\u522b\u662f\u5927\u5bb6\u90fd\u6ca1\u4ec0\u4e48\u7ecf\u9a8c\u7684\u65f6\u5019\uff0c\u53ea\u80fd\u63d0\u524d push \u6240\u6709\u4eba\uff0c\u505a\u51fa\u51e0\u7248\u65b9\u6848\u6765\uff0c\u7136\u540e\u624d\u80fd\u89c4\u5212\u540e\u7eed\u3002</li> <li>\u4ee5\u540e\u56e2\u961f\u9879\u76ee\u8fd8\u662f\u597d\u597d\u6311\u961f\u53cb\u5427\uff0c\u4e0d\u8981\u968f\u4fbf\u5c31\u53bb\u4e86\u3002\u5373\u4f7f\u505a\u597d\u4e86\u81ea\u5df1\u7684\u90e8\u5206\uff0c\u522b\u7684\u90e8\u5206\u5bc4\u4e86\u4e5f\u5f88\u96be\u641e\u3002\u8981\u4e48\u5c31\u81ea\u5df1\u5b8c\u5168\u80fd cover \u6574\u4e2a\u9879\u76ee\uff0c\u505a\u5168\u6808\uff0c\u6bd4\u5982 wordle_solver\uff0c\u4ece\u5934\u5230\u5c3e\u90fd\u662f\u6211\u4e00\u4e2a\u4eba\u5199\u7684\u3002</li> </ul> </li> <li>RM \u9879\u76ee<ul> <li>\u5b66\u4e60\u4e86 ssh \u7b49\uff0c\u5728\u53e6\u5916\u4e00\u53f0\u7535\u8111\u4e0a\u914d\u7f6e\u4e86\u73af\u5883\uff0c\u4e0b\u8f7d\u4e86\u6240\u9700\u8981\u7684\u6570\u636e\uff0c\u6784\u5efa\u4e86 docker\u3002</li> </ul> </li> <li>blog<ul> <li>\u6574\u7406\u4e86\u7b14\u8bb0\u672c\uff0c\u53d1\u5e03\u4e86\u51e0\u7bc7\u6587\u7ae0</li> </ul> </li> <li>\u5b66\u4e60\u4f7f\u7528\u4e86 reveal-md</li> <li>\u5199\u4e86\u4e00\u4e2a wordle_solver</li> <li>\u590d\u4e60\u4e86 license \u548c commit \u89c4\u8303\uff0c\u611f\u89c9\u786e\u5b9e\u6709\u70b9\u7e41\u7410\u3002</li> <li>\u840e\u9761\u7684\u4e00\u5468\uff0c\u6548\u7387\u4f4e\uff0c\u51e0\u4e4e\u4e00\u76f4\u90fd\u5728\u4f11\u606f\u3002</li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u901f\u901f\u63a8\u8fdb cs231n\uff0c\u4e89\u53d6\u4e0b\u4e2a\u661f\u671f\u5b66\u5b8c\u3002<ul> <li>\u6574\u7406\u7b54\u6848\uff0c\u53d1\u5e03\u3002</li> <li>\u6574\u7406\u7b14\u8bb0\uff0c\u53d1\u5e03\u3002</li> <li>\u7ed3\u5408 d2l \u7b49\u5176\u4ed6\u8d44\u6e90\uff0c\u603b\u7ed3\u5f52\u7eb3\u3002</li> </ul> </li> <li>\u51c6\u5907\u56db\u7ea7\u3002</li> <li>\u8dd1\u901a FFB6D \u7684\u4ee3\u7801\uff0c\u5e76\u8ba1\u5212\u9605\u8bfb\u5957\u81ea\u5df1\u7684\u6570\u636e\u3002</li> <li>\u53d1\u5e03\u4e00\u7bc7\u5982\u4f55\u5199 prompt \u7684\u6587\u7ae0\u3002</li> <li>\u5b8c\u5584 obsidian \u6a21\u677f\u3002</li> <li>\u5b66\u70b9 go\u3002</li> </ul> </li> </ul>"},{"location":"summary/2024summer_vacation/","title":"2024\u5e74\u9ad8\u4e09-\u5927\u4e00\u6691\u5047\u603b\u7ed3","text":"<p> \u7ea6 518 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u6211\u7684\u6691\u5047\u5927\u6982\u662f\u4ece 24.7.10 \u5f00\u59cb\u7684\uff0c\u5230\u90a3\u65f6\u624d\u5c18\u57c3\u843d\u5b9a\u3002\u4f46\u53c8\u6765\u56de\u6447\u6446\uff0c\u60f3\u7740\u672a\u6765\u7684\u51fa\u8def\uff08\u51fa\u56fd\uff1f\u4fdd\u7814\uff1f\u5de5\u4f5c\uff1f\u8f6c\u4e13\u4e1a\uff1f\uff09\u3002\u6240\u4ee5\u5927\u6982\u5230 8 \u6708\u624d\u5f00\u59cb\u5b66\u4e60\u3002</p> <ul> <li>\u8ba1\u7b97\u673a<ul> <li>crash course computer \u770b\u4e86\u524d 20 \u8bb2\uff0c\u540e\u6765\u56e0\u4e3a\u61d2\u5f97\u770b\u4e86\u5c31\u6446\u70c2\u4e86</li> <li>cs 61 A<ul> <li>\u770b\u4e86\u524d 10 \u8bb2\u7684 lecture\uff0c\u4f46\u662f\u6ca1\u505a\u7b14\u8bb0</li> <li>\u770b\u4e86 composing programs \u524d\u4e09\u7ae0</li> <li>\u505a\u5b8c\u4e86 4 \u4e2a proj\uff0c\u4f46\u662f\u6ca1\u6709\u505a hw \u548c lab</li> </ul> </li> <li>cs 61 C<ul> <li>\u770b\u4e86\u524d 10 \u8bb2\u7684 slide</li> <li>\u505a\u4e86\u524d\u4e24\u4e2a proj \u548c\u524d\u516d\u4e2a lab</li> <li>\u770b\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u786c\u4ef6\u8f6f\u4ef6\u63a5\u53e3\u524d\u4e24\u7ae0</li> </ul> </li> <li>csapp<ul> <li>\u4e66\u770b\u4e86\u524d\u4e09\u7ae0</li> <li>\u4e5d\u66f2\u9611\u5e72\u770b\u4e86\u524d 4 \u7ae0</li> </ul> </li> <li>Dive into Deep Learning<ul> <li>\u770b\u4e86\u524d\u4e24\u7ae0\u5e76\u505a\u4e86\u7b14\u8bb0\uff0c\u4f46\u611f\u89c9\u4e00\u4e0b\u5b50\u8df3\u8fc7\u592a\u591a\u524d\u7f6e\u77e5\u8bc6\u5f88\u96be\u611f\u53d7\u5230\u7f8e\u611f\u4fbf\u5148\u653e\u653e\u3002</li> </ul> </li> <li>games 101<ul> <li>\u51e0\u4e4e\u770b\u5b8c\u4e86\u6240\u6709\u7684 lecture (\u4f46\u662f\u540e\u9762\u51e0\u8bb2\u4e0d\u662f\u5f88\u8ba4\u771f)\uff0c\u4f46\u662f\u6ca1\u6709\u505a\u7b14\u8bb0</li> </ul> </li> <li>\u4ee3\u7801\u968f\u60f3\u5f55<ul> <li>\u505a\u5230\u56de\u6eaf\u4e86\uff0c\u4f46\u662f\u6253\u7b97\u4e4b\u540e\u4e0d\u4f1a\u5f88\u7ecf\u5e38\u505a\uff08\u7b49\u5230\u8981\u7528\u4e86\u518d\u8bf4\uff09</li> </ul> </li> <li>\u7528 mkdocs \u642d\u5efa\u4e86\u81ea\u5df1\u7684 blog</li> <li>C++<ul> <li>\u770b\u4e86\u83dc\u9e1f\u6559\u7a0b\u4e0a\u7684\u76f8\u5173\u5185\u5bb9\uff0c\u6ca1\u505a\u7b14\u8bb0</li> <li>\u770b\u4e86\u6d59\u5927\u7684 C++\u8bfe\uff0c\u6ca1\u505a\u7b14\u8bb0\uff0c\u4e5f\u6ca1\u770b\u5b8c\uff08\uff09</li> <li>\u770b\u4e86 accelerated C++\uff0c\u505a\u4e86\u7b14\u8bb0</li> </ul> </li> <li>\u770b\u4e86\u6d59\u5927\u7684\u5b9e\u7528\u6280\u80fd\u62fe\u9057<ul> <li>\u590d\u4e60\u4e86 Markdown \u548c Latex \u8bed\u6cd5\uff0c\u5b66\u4e60\u4e86\u5982\u4f55\u4f7f\u7528 git\uff0c\u5b66\u4e60\u4e86\u6700\u57fa\u7840\u7684 shell\uff0cvim\u3002</li> </ul> </li> <li>\u89c6\u89c9 slam \u5341\u56db\u8bb2<ul> <li>\u770b\u5b8c\u4e86\u524d 7 \u8bb2\uff08\u5373\u7406\u8bba\u90e8\u5206\uff09\uff0c\u505a\u4e86\u7b14\u8bb0\uff0c\u4f46\u662f\u6ca1\u6709\u8dd1\u4ee3\u7801 \uff08\u73af\u5883\u592a\u96be\u914d\u4e86\uff09</li> </ul> </li> <li>\u914d\u7f6e\u73af\u5883<ul> <li>wsl 2 , git\uff0cvmware\uff0cvscode</li> <li>\u914d\u7f6e\u4e86 obsidian\uff0c\u88c5\u4e86\u597d\u591a\u63d2\u4ef6\uff0c\u73b0\u5728\u7528\u8d77\u6765\u662f\u5f88\u8212\u670d\u4e86</li> </ul> </li> </ul> </li> <li>\u8fd0\u52a8<ul> <li>\u6bcf\u5929\u505a\u505a\u4fef\u5367\u6491\uff0c\u611f\u89c9\u8fd8\u4e0d\u9519</li> <li>\u5927\u6982 7 \u6708\u4efd\u7684\u65f6\u5019\u6bcf\u5929\u4e0b\u5348\u4f1a\u51fa\u53bb\u9a91\u8f66\uff08city cycling?\uff09</li> </ul> </li> <li>\u5176\u4ed6<ul> <li>\u5bb6\u6559</li> <li>\u5b66\u4e86\u9a7e\u7167</li> <li>\u4e70\u4e86\u4e00\u4e2a\u952e\u76d8\u548c\u663e\u793a\u5668, \u91cd\u88c5\u4e86\u7535\u8111</li> <li>\u548c\u670b\u53cb\u65c5\u6e38\uff0c\u53bb\u6cc9\u5dde+\u798f\u5dde</li> <li>\u7ed9\u9ad8\u4e2d\u7684\u5b66\u5f1f\u5b66\u59b9\u5199\u4e86\u7ecf\u9a8c\u5206\u4eab\uff08\u6570\u5b66+\u82f1\u8bed+\u7269\u7406+\u6280\u672f\uff09</li> <li>\u770b\u4e86\u4e0d\u5c11\u7535\u5f71</li> </ul> </li> </ul>"},{"location":"summary/high%20school/eng_fht/","title":"\u82f1\u8bed\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 1397 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9996\u8003136\uff08\u524d\u9762\u62635\uff0c\u4f5c\u6587\u62639\uff09 -&gt; \u9ad8\u8003137\uff08\u524d\u9762\u62633\uff0c\u4f5c\u6587\u626310\uff09</p>"},{"location":"summary/high%20school/eng_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":""},{"location":"summary/high%20school/eng_fht/#_3","title":"\u82f1\u8bed\u96be\u5ea6\u600e\u4e48\u6837\uff1f","text":"<ul> <li>\u53d6\u51b3\u4e8e\u5b66\u751f\u5427\uff0c\u521d\u4e2d\u7684\u5e95\u5b50\u5f71\u54cd\u5f88\u5927\uff0c\u6709\u7684\u4eba\u521d\u4e2d\u82f1\u8bed\u597d\u76f4\u63a5\u4e09\u5e74\u90fd\u4e0d\u7528\u5b66\u82f1\u8bed\u3002</li> <li>\u57fa\u7840\u77e5\u8bc6\u5f71\u54cd\u540e\u7eed\u5b66\u4e60\uff08\u610f\u601d\u662f\u4e0d\u4f1a\u7684\u81ea\u5df1\u53bb\u5b66\u6389\uff09:<ul> <li>\u97f3\u6807 / \u53e3\u8bed</li> <li>\u8bcd\u6c47\u91cf</li> </ul> </li> <li>\u6bd4\u8bed\u6587\u3001\u6570\u5b66\uff08120+\u7684\u65f6\u5019\uff09\u63d0\u5206\uff08110+\u7684\u65f6\u5019\uff09\u5feb\u3002\u8bad\u7ec3\u65b9\u6cd5\u7b80\u5355\uff0c\u89c1\u6548\u5feb\uff0c\u63d0\u5347\u7a33\u5b9a\u3002</li> <li>\u8f7b\u903b\u8f91\uff0c\u91cd\u7406\u89e3\uff08\u8bfb\u61c2\u4e86\u5c31\u80fd\u505a\u5bf9\u9898\u76ee\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_4","title":"\u6295\u5165\u65f6\u95f4\u600e\u4e48\u6837\uff1f","text":"<ul> <li>\u4ec0\u4e48\u788e\u7247\u5316\u80cc\u5355\u8bcd\u5176\u5b9e\u4e0d\u4e00\u5b9a\u6709\u7528\uff0c\u56fe\u7684\u53ea\u662f\u591a\u770b\u51e0\u6b21\u3002\u540c\u6837\uff0c\u65e9\u8bfb\u665a\u8bfb\u4e5f\u53ea\u662f\u591a\u82b1\u70b9\u65f6\u95f4\u719f\u6089\u719f\u6089\uff0c\u5b66\u6821\u7edf\u4e00\u8bad\u7ec3\u7684\u542c\u529b\u771f\u4e0d\u662f\u5f88\u6709\u7528\u53cd\u6b63\u3002\u5efa\u8bae\u79c1\u4e0b\u627e\u8001\u5e08\u5f3a\u5316\u4e00\u4e0b\uff08</li> <li>\u5e73\u65f6\u4e3b\u8981\u7684\u65f6\u95f4\u6295\u5165:<ul> <li>\u505a\u5377\u5b50\u3001\u8ba2\u6b63\u3001\u67e5\u5355\u8bcd</li> <li>\u5199\u4f5c\u6587\u3001\u6279\u6539\u3001\u80cc\u8bed\u6599</li> </ul> </li> <li>\u6211\u4e2a\u4eba\u8ba4\u4e3a\u5355\u8bcd\u662f\u6ca1\u5fc5\u8981\u53bb\u80cc\u7ef4\u514b\u591a\u7684\uff08\u4e0d\u8fc7\u5982\u679c\u8fde\u521d\u4e2d\u7684\u5355\u8bcd\u90fd\u4e0d\u4f1a\u7684\u8bdd\uff0c\u8fd8\u662f\u5148\u80cc\u4e2a1500\uff08\u521d\u4e2d\u5355\u8bcd\u5927\u7eb2\uff09\u518d\u8bf4\u5427\u3002\u540e\u9762\u7684\u5c31\u662f\u591a\u67e5\u67e5\u5b57\u5178\uff0c\u8bb0\u5728\u7b14\u8bb0\u672c\u4e0a\uff0c\u591a\u770b\u770b\u5c31\u597d\u4e86\u3002(\u6709\u7684\u8001\u5e08\u8981\u6c42\u8fc7\u4e2aN\u904d\u7684\u7ef4\u514b\u591a\u5176\u5b9e\u4e0d\u592a\u6709\u7528\uff0c\u6bd5\u7adf\u4e00\u4e2a\u5355\u8bcd\u77e5\u905310\u4e2a\u610f\u601d\uff0c\u4e5f\u4e0d\u4e00\u5b9a\u80fd\u591f\u7406\u89e3\u6587\u610f)<ul> <li>\u5982\u679c\u771f\u60f3\u901f\u6210\uff0c\u5efa\u8bae\u641c\u7d22IAI\u53d1\u7684\u5355\u8bcd\u5927\u7eb2\uff0c\u4ee5\u8ba4\u77e5\u8bcd\u6c47\u4e3a\u6807\u51c6\uff0c\u4e00\u661f\u671f\u5185\u80cc\u5b8c\u65b0\u9ad8\u80033000\u5355\u8bcd\u3002</li> </ul> </li> <li>\u7a33\u5b9a\u8bad\u7ec3\u7684\u60c5\u51b5\u4e0b\uff0c130\u5e94\u8be5\u662f\u6240\u6709\u5b66\u751f\u90fd\u80fd\u57286\u4e2a\u6708\u5185\u53ef\u4ee5\u8fbe\u5230\u7684\u3002</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_5","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u53ef\u4ee5\u8bf4\uff0c\u82f1\u8bed\u662f\u4e3b\u8bfe\u91cc\u6700\u6709\u8ff9\u53ef\u5faa\u7684\u4e00\u95e8\u8bfe\u4e86\u3002\u800c\u4e14\u82f1\u8bed\u6709\u4e24\u6b21\u673a\u4f1a\uff0c\u6240\u4ee5\u53ea\u8981\u52aa\u529b\u5c31\u80fd\u53d6\u5f97\u5f88\u4e0d\u9519\u7684\u5206\u6570\uff08\u6027\u4ef7\u6bd4\u6781\u9ad8\uff09</p>"},{"location":"summary/high%20school/eng_fht/#_6","title":"\u8d44\u6e90\u63a8\u8350:","text":"<ul> <li>IAI yyds\uff01\uff01\uff01\uff08\u4e00\u4e2a\u82f1\u8bed\u516c\u4f17\u53f7\uff09</li> <li>\u4e00\u4e9b\u4e66:<ul> <li>\u8bed\u6cd5\u4ff1\u4e50\u90e8</li> <li>\u4e00\u672c\u6d3b\u9875\u7b14\u8bb0\u672c</li> <li>\u725b\u6d25 / \u6717\u6587 \u9ad8\u7ea7\u5b57\u5178 \u6216\u8005 \u5355\u8bcd\u7b14 \u6216\u8005 \u7535\u5b50\u5b57\u5178 \uff08\u5176\u5b9e\u533a\u522b\u4e0d\u5927\uff0c\u53ef\u4ee5\u51e0\u4e2a\u540c\u5b66\u7528\u4e00\u4e2a\uff09</li> </ul> </li> <li>\u5212\u7ebf\u5c3a\uff08\u5bf9\u5b57\u8ff9\u4e0d\u597d\u7684\u540c\u5b66\u53ef\u4ee5\u7528\uff0c\u5177\u4f53\u641c\u7d22IAI\u63a8\u6587\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_7","title":"\u8d44\u6e90\u4e0d\u63a8\u8350:","text":"<ul> <li>\u82f1\u8bed\u539f\u8457:\uff08\u6027\u4ef7\u6bd4\u51e0\u4e4e\u4e3a\u96f6\uff0c\u5355\u8bcd\u964c\u751f\u5316\u8fc7\u9ad8\uff0c\u8001\u5e08\u770b\u4e0d\u61c2\u5bb9\u6613\u5224\u4f4e\u5206\uff0c\u5bb9\u6613\u4f7f\u4eba\u6d6e\u8e81\uff09     \u6bd4\u5982:<ul> <li>Harry Potter</li> <li>Flipped</li> <li>Good English ...</li> </ul> </li> <li>\u8bfe\u5916\u8d2d\u4e70\u7684\u5b57\u5e16\uff08\u9664\u4e86\u8861\u6c34\u4f53\u4ee5\u5916\u7684\u5b57\u4f53:\u610f\u5927\u5229\u659c\u4f53\uff0c\u82b1\u4f53\uff0c\u5706\u4f53...\uff09</li> <li>\u968f\u4fbf\u4e0d\u77e5\u6765\u6e90\u7684\u4e13\u9898\u96c6\uff08\u9ad8\u8003\u5fc5\u5237\u9898\uff0c\u9ad8\u8003\u4e94\u4e09\uff08\u6392\u7248\u96be\u770b\uff0c\u9898\u76ee\u8001\u65e7\uff09\uff09</li> <li>\u91d1\u8003\u5377\u7b49\uff08\u522b\u60f3\u4e86\uff0c\u6839\u672c\u4e0d\u4f1a\u505a\u591a\u5c11\u7684\uff09 IAI\u3000is enough\uff01</li> <li>\u8001\u5e08\u4e0d\u77e5\u9053\u54ea\u91cc\u641e\u6765\u7684\u5916\u7701\u7684\u5377\u5b50/\u5546\u4e1a\u5377\uff08\u505a\u4e86\u63d0\u5347\u5f88\u5c0f\uff0c\u5f71\u54cd\u53e3\u5473\u7f62\u4e86\uff09</li> <li>\u5e73\u65f6\u7684\u4f5c\u4e1a\uff08\u7f3a\u4e4f\u9488\u5bf9\u6027\uff0c\u5408\u7406\u770b\u5f85\uff0c\u7231\u505a\u4e0d\u505a\uff09</li> <li>\u51fa\u53bb\u8865\u8bfe\u53d1\u7684\u4f5c\u6587\u89e3\u6790\uff08\u5408\u7406\u770b\u5f85\uff0c\u8b66\u60d5\u6a21\u677f/\u79d2\u6740/\u9ad8\u7ea7\u8bcd\u6c47\uff09</li> <li>\u56db\u516d\u7ea7\u3001\u6258\u798f\u3001\u96c5\u601d\u3001GRE\u5355\u8bcd\uff08\u6027\u4ef7\u6bd4\u4f4e\uff0c\u8d34\u5408\u5ea6\u4f4e\uff0c\u88c5\u903c\u5ea6\u9ad8\uff0c\u4e0d\u7b26\u5408\u9ad8\u8003\u5bfc\u5411\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_8","title":"\u5b66\u4e60\u65b9\u6cd5:","text":""},{"location":"summary/high%20school/eng_fht/#_9","title":"\u9ad8\u4e00\u9ad8\u4e8c\u4e0a:","text":"<ul> <li>\u79ef\u7d2f\u5355\u8bcd\uff08\u8bb0\u5728\u6d3b\u9875\u672c\u4e0a\uff09</li> <li>\u63d0\u5347\u5ba2\u89c2\u9898:\u6240\u6709\u9898\u76ee\u9519\u7684\u5f04\u61c2\uff0c\u505a\u8fc7\u4e0d\u9519\uff08\u522b\u73a9\u4f60\u7684\u7834\u9519\u9898\u672c\u4e86\uff09</li> <li>\u4f5c\u6587\u6446\u70c2\uff08\u9ad8\u4e00\u9ad8\u4e8c\u8303\u6587\u6c34\u5e73\u592a\u4f4e\uff0c\u6ca1\u6709\u5b66\u4e60\u7684\u4ef7\u503c\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_10","title":"\u9ad8\u4e8c\u4e0b\u9ad8\u4e09:","text":"<ul> <li>\u8fd9\u65f6\u5019\u9ad8\u8003\u5355\u8bcd\u90fd\u8ba4\u4e0d\u5168\u8bf4\u4e0d\u8fc7\u53bb\u4e86<ul> <li>\u8bf7\u53c2\u8003\u524d\u6587</li> </ul> </li> <li>\u8bed\u6cd5\u4e0d\u4f1a\u7684\u53bb\u5b66\u8bed\u6cd5\uff08\u770b\u8bed\u6cd5\u4ff1\u4e50\u90e8\uff09\uff0c\u4e0d\u8981\u8ffd\u6c42\u5b8c\u6574\u5177\u4f53\uff0c\u80fd\u591f\u505a\u8bed\u6cd5\u586b\u7a7a\u548c\u4f1a\u5206\u6790\u9605\u8bfb\u4e2d\u7684\u957f\u96be\u53e5\u5c31\u591f\u4e86\u3002\uff08\u751a\u81f3\u865a\u62df\u8bed\u6c14\u4ec0\u4e48\u7684\u90fd\u8003\u4e0d\u4e86\uff09</li> <li>\u9650\u65f6\u505a\u5377\u5b50\uff0840min\u505a\u5b8c\u5ba2\u89c2\u9898\uff09+\u8ba2\u6b63\uff08\u641e\u61c2\u4e3a\u4ec0\u4e48\u9519\uff09<ul> <li>\u505a\u591f30\u5957\u5c31\u53ef\u4ee5\u7a33\u4e0a130\uff08\u5377\u5b50\u6765\u6e90IAI\uff09</li> </ul> </li> <li>\u9650\u65f6\u7ec3\u4f5c\u6587\uff08\u5e94\u7528\u6587+\u7eed\u5199\uff09<ul> <li>\u7eed\u5199\u5199\u591f20\u504f\u5c31\u53ef\u4ee518+</li> <li>\u5e94\u7528\u6587\u5efa\u8bae\u79ef\u7d2f\u6a21\u677f\uff0c\u9047\u5230\u4e0d\u540c\u4e3b\u9898\u90fd\u6709\u8bdd\u8bf4\u3002\u4fdd\u6301\u5e73\u65f611+\u5c31\u597d\u3002</li> </ul> </li> <li>\u5b66\u6821\u8003\u8bd5\u7684\u4f5c\u6587\u6253\u5206\u4e0d\u503c\u5f97\u76f8\u4fe1:<ul> <li>\u5efa\u8bae\u73cd\u60dc\u8054\u8003\uff08\u4e0d\u662f\u5b66\u6821\u8001\u5e08\u6539\u7684\u65f6\u5019\uff0c\u6bd4\u5982\u5076\u5c14\u7684Z20\uff09</li> <li>\u53ea\u770b\u8001\u5e08\u6539\u7684\u8bed\u6cd5\u9519\u8bef</li> <li>\u53ef\u4ee5\u53c2\u52a0IAI\u57f9\u8bad\uff08\u4e0d\u662f\u5e7f\u544a\uff0c\u6027\u4ef7\u6bd4\u6bd4\u8f83\u4f4e\uff0c\u4f46\u662f\u6539\u4f5c\u6587\u7684\u6807\u51c6\u5f88\u51c6\uff09</li> </ul> </li> <li>\u4ee5\u63d0\u5347\u6210\u7ee9\u4e3a\u5bfc\u5411\uff0c\u8b66\u60d5\u63d0\u5347\u82f1\u8bed\u7d20\u517b\u66f2\u7ebf\u6551\u56fd\u7684\u9677\u8fdb\uff08\u5982\uff0c\u770b\u5916\u520a\uff0c\u8bfb\u539f\u8457\u7b49\u7b49\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_11","title":"\u8bad\u7ec3\u76ee\u6807:","text":"<ul> <li>\u5ba2\u89c2\u9898\u4fdd\u8bc1\u572830-35\u5206\u949f\u5185\u505a\u5b8c</li> <li>\u4f5c\u65871\u5c0f\u65f6\u5185\u5199\u5b8c\u4e24\u7bc7\uff0c\u8981\u6c42\u5e94\u7528\u6587\u4e0d\u4f4e\u4e8e11\u5206\uff0c\u7eed\u5199\u4e0d\u4f4e\u4e8e18\u5206\uff08\u4e24\u6bb5\u90fd\u5199\u6ee110\u884c\uff09</li> <li>\u5ba2\u89c2\u9898\u6263\u5206\u4e0d\u8d85\u8fc75\u5206\uff08\u542c\u529b\u9605\u8bfb\u4e03\u9009\u4e94\u5168\u5bf9\uff0c\u5b8c\u578b\u53ef\u62631\u5206\uff0c\u8bed\u586b\u53ef\u62631.5\u5206\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_12","title":"\u5c0f\u6280\u5de7:","text":"<ul> <li>\u5408\u7406\u5b89\u6392\u505a\u9898\u65f6\u95f4\uff0c\u4e0d\u4e00\u5b9a\u8981\u4ece\u9605\u8bfb\u5f00\u59cb\u505a</li> <li>95%\u7684\u5b8c\u578b\u7b26\u54084443\uff08\u9009\u9879\u5206\u5e03\uff09\uff0c\u9ad8\u8003\u4e2d\u53ea\u670922\u8fd8\u662f\u54ea\u4e00\u5e74\u51fa\u73b0\u8fc74533\uff0c\u5efa\u8bae\u505a\u5b8c\u578b\u7684\u65f6\u5019\u5708\u9009\u9879\u800c\u975e\u5199\u5b57\u6bcd\uff0c\u4e0d\u7136\u4e0a\u4e0b\u4f1a\u5f71\u54cd\u3002\u7b2c\u4e00\u6b21\u505a\u4e0d\u51fa\u6765\u7684\u53ef\u4ee5\u5148\u7a7a\u7740\uff0c\u518d\u8bfb\u4e00\u904d\u540e\u56de\u6765\u6839\u636e\u5206\u5e03\u7efc\u5408\u6587\u610f\u586b\u6ee1\u3002</li> <li>\u9605\u8bfb\u8bfb\u5b8c\u6587\u7ae0\uff0c\u8bed\u586b\u5168\u90e8\u8981\u8bfb \u518d\u505a\u9898\uff08\u4e0d\u7136\u4f1a\u6709\u5f88\u6076\u5fc3\u7684\u9677\u9631\uff09</li> <li>\u4f5c\u6587\u4e0d\u4e00\u5b9a\u8981\u6253\u8349\u7a3f\uff0c\u4f46\u662f\u4e00\u5b9a\u4e0d\u80fd\u6709\u8bed\u6cd5\u9519\u8bef\uff0c\u5b57\u8ff9\u96be\u770b\uff08\u8fd9\u4e24\u70b9\u662f\u5f71\u54cd\u4f5c\u6587\u7684\u4e3b\u8981\u56e0\u7d20\uff0c24\u9ad8\u8003\u4e4b\u540e\u53ef\u80fd\u8fd8\u6709\u4e3b\u65e8\u5347\u534e\uff09\u3002</li> <li>\u8bfb\u61c2\u624d\u662f\u5b66\u82f1\u8bed\u7684\u552f\u4e00\u8981\u70b9\uff01\uff01\uff01</li> </ul> <p>\u8bf7\u5408\u7406\u4f7f\u7528IAI\uff0c\u5f88\u6709\u53ef\u80fd\u662f\u6700\u597d\u7684\u8d44\u6e90\u3002</p>"},{"location":"summary/high%20school/math_fht/","title":"\u6570\u5b66\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 757 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9ad8\u8003138\uff08\u586b\u7a7a\u9519\u4e00\u90535'+19\u9898\u6700\u540e\u4e00\u95ee7'\uff09</p>"},{"location":"summary/high%20school/math_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":"<ul> <li>\u6211\u60f3\u6570\u5b66\u7684\u4f53\u7cfb\uff08\u89e3\u9898\u5957\u8def\uff09\u662f\u4e0d\u5982\u7269\u7406\u5b8c\u6574\u7684\u3002\u6bd4\u5982:\u5706\u9525\u66f2\u7ebf\u5f88\u96be\u627e\u5230\u901a\u6cd5\u89e3\u51b3\u6240\u6709\u9898\u6216\u8005\u5bfc\u6570\u6709\u65f6\u5019\u4e5f\u4f1a\u6d89\u53ca\u5f88\u591a\u5947\u5947\u5999\u5999\u7684\u77e5\u8bc6\u3002</li> <li>\u771f\u7684\u5f88\u96be\u7a33\u5b9a\u63d0\u5206\uff08\u4e3b\u8981\u6307120+?\uff09</li> <li>\u5b66\u79d1\u601d\u7ef4\u53ef\u80fd\u5f88\u91cd\u8981\u3002\u867d\u7136\u6211\u4e0d\u662f\u5f88\u80fd\u9610\u660e\u8fd9\u4e2a\u6982\u5ff5\uff0c\u4f46\u5177\u4f53\u6765\u8bf4\u5c31\u662f\uff0c\u8981\u53bb\u505a\u95ee\u9898\uff0c\u800c\u4e0d\u662f\u80cc\u7b54\u6848\u3002\u5176\u5b9e\u5f88\u591a\u65f6\u5019\u7684\u505a\u4e5f\u4e0d\u8fc7\u662f\u9ed8\u5199\u4ee5\u524d\u4f1a\u7684\u5957\u8def\uff0c\u4e0d\u4f1a\u7684\u4e5f\u57fa\u672c\u4e0d\u53ef\u80fd\u5f53\u573a\u521b\u65b0\u51fa\u6765\u3002\u6240\u4ee5\u5927\u6982\u8fd9\u91cc\u7684\u505a\u6307\u7684\u662f\uff0c\u8fd0\u7528\u4ee5\u524d\u5b66\u8fc7\u7684skill\uff0c\u5c06\u4ed6\u4eec\u7ec4\u5408\u5728\u4e00\u8d77\uff0c\u62b5\u8fbe\u6240\u8981\u8fbe\u6210\u7684\u76ee\u6807\u3002</li> <li>\u6240\u4ee5\uff0c\u4e5f\u8bb8\u4f46\u51e1\u4e0a\u8ff0\u4e00\u4e2a\u6b65\u9aa4\u505a\u4e0d\u5230\uff0c\u90fd\u5f88\u96be\u505a\u5bf9\u4e00\u9053\u9898:<ul> <li>\u5206\u6790\u76ee\u6807\u662f\u4ec0\u4e48</li> <li>\u8003\u8651\u8981\u600e\u4e48\u5230\u8fbe</li> <li>\u8fd0\u7528\u4ec0\u4e48\u5de5\u5177<ul> <li>\u5982\u4f55\u68c0\u9a8c\uff0c\u5b9a\u6027\u5224\u65ad    </li> <li>\u5982\u4f55\u8bd5\u63a2\uff0c\u5b9a\u91cf\u8ba1\u7b97</li> </ul> </li> </ul> </li> </ul>"},{"location":"summary/high%20school/math_fht/#_3","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u6211\u4e00\u4e2a\u9ad8\u4e2d\u57fa\u672c\u6ca1\u505a\u8fc7\u6570\u5b66\u4f5c\u4e1a\u7684\u4eba\u4e5f\u8bb8\u4e0d\u914d\u6765\u8bf4\u8fd9\u4e2a\u95ee\u9898\u3002</p>"},{"location":"summary/high%20school/math_fht/#_4","title":"\u7701\u6d41\u7248:","text":"<ul> <li>\u638c\u63e1\u57fa\u672c\u77e5\u8bc6\u70b9\uff0c\u5b9a\u4e49\uff0c\u516c\u5f0f\uff0c\u5957\u8def\uff08\u5982\u7aef\u70b9\u6548\u5e94\uff09</li> <li>\u505a\u6574\u5377\u67e5\u6f0f\u8865\u7f3a</li> <li>\u505a\u4e13\u9898\uff0c\u6bd4\u8f83\u5f52\u7eb3</li> <li>\u8003\u8bd5\u8bad\u7ec3\u5fc3\u6001</li> </ul>"},{"location":"summary/high%20school/math_fht/#_5","title":"\u6ce8\u610f\u4e8b\u9879:","text":"<ul> <li>\u9519\u9898\u672c\u5f88\u53ef\u80fd\u6ca1\u6709\u7528\uff0c\u771f\u6b63\u6709\u7528\u7684\u662f\u8003\u8bd5\u4ee5\u540e\u7684\u590d\u76d8\uff0c\u81ea\u5df1\u6574\u7406\u603b\u7ed3\u51fa\u7684\u5957\u8def\u65b9\u6cd5\uff0c\u6613\u9519\u5f52\u7eb3\u3002     \u6bd4\u5982:     \u53ef\u80fd\u8fd9\u6b21\u5bfc\u6570\u9898\u6ca1\u505a\u51fa\u6765\uff0c\u4f60\u8981\u60f3\u6e05\u695a\u7684\u662f\uff0c\u4e3a\u4ec0\u4e48\u6ca1\u505a\u51fa\u6765\uff0c\u8003\u8bd5\u7684\u65f6\u5019\u6ca1\u82b1\u65f6\u95f4\u8fd8\u662f\u82b1\u4e86\u65f6\u95f4\u4e5f\u6ca1\u60f3\u660e\u767d\uff0c\u771f\u6b63\u6b63\u786e\u7684\u51b3\u7b56\u662f\u4ec0\u4e48\uff08\u8df3\u8fc7\uff1f\u7ee7\u7eed\u601d\u8003\uff1f\uff09\uff0c\u5982\u679c\u4e0b\u6b21\u8fd8\u662f\u505a\u4e0d\u51fa\u6765\u53ef\u4ee5\u600e\u4e48\u5c1d\u8bd5\uff0c\u5b66\u5230\u4e86\u4ec0\u4e48\u65b0\u7684\u6a21\u578b\u3002</li> <li>\u4e0d\u8981\u5bf9\u8003\u8bd5\u8fc7\u62df\u5408\uff0c\u5f88\u591a\u4eba\u8fc7\u5206\u5938\u5927\u4e86\u590d\u76d8\u7684\u4f5c\u7528\u3002\u7279\u522b\u662f\u5728\u6570\u5b66\u5e94\u8bd5\u65b9\u9762\uff0c\u82b1\u8fc7\u591a\u7684\u65f6\u95f4\u5728\u590d\u76d8\u4e0a\u7684\u6027\u4ef7\u6bd4\u4e0d\u9ad8\uff0c\u4e0d\u5982\u591a\u505a\u70b9\u9898/\u770b\u70b9\u65b0\u9c9c\u73a9\u610f/\u5b66\u522b\u7684\u79d1\u76ee\u53bb\u3002</li> <li>\u65f6\u95f4\u5f52\u7eb3\u548c\u5fc3\u6001\u51b3\u5b9a\u8003\u8bd5\u5206\u6570\u7684\u4e0b\u9650\u3002\u57fa\u7840\u9898\u505a\u5b8c\u5c31\u6709\u5f88\u591a\u5206\u6570\u5566\uff01\u522b\u88ab\u4e00\u4e2a\u9898\u5361\u4f4f\u4e86\u5c31\u5fc3\u6001\u5d29\u4e86\uff0c\u5f88\u591a\u4eba\u8bf4\u81ea\u5df1\u5fc3\u6001\u597d\u53ea\u4e0d\u8fc7\u662f\u6ca1\u505a\u8fc7\u9053\u9053\u4e0d\u987a\u5229\u7684\u5377\u5b50\u3002</li> <li>\u591a\u8ddf\u8001\u5e08\u4ea4\u6d41\uff0c\u8001\u5e08\u5f88\u53ef\u80fd\u6bd4\u4f60\u60f3\u50cf\u7684\u8981\u66f4helpful\u4e00\u4e9b\u3002</li> <li>\u4e0d\u8981\u653e\u5f03\u6570\u5b66\uff0c150\u5206\u5462\uff0c\u8fd9\u90fd\u653e\u4e86\u8fd8\u662f\u522b\u9ad8\u8003\u4e86\u3002<ul> <li>\u65e9\u70b9\u5b66\u6570\u5b66\u5427\uff0c\u522b\u6b7b\u5230\u4e34\u5934\u4e86\u624d\u540e\u6094</li> </ul> </li> <li>\u4e0d\u8981\u6c89\u8ff7\u9ad8\u7ea7\u73a9\u610f:\uff08\u6709\u8fd9\u65f6\u95f4\u4e0d\u5982\u53bb\u73a9\uff09<ul> <li>\u6cf0\u52d2\u5c55\u5f00</li> <li>\u6781\u70b9\u6781\u7ebf</li> <li>\u5bfc\u6570\u7684\u4e00\u5806\u5947\u6280\u6deb\u5de7</li> <li>...</li> </ul> </li> <li>\u8ba1\u7b97\u80fd\u529b\u5f88\u91cd\u8981\uff0c\u89e3\u6790\u51e0\u4f55\u8be5\u7b97\u7684\u8981\u7b97\u3002</li> </ul>"},{"location":"summary/high%20school/math_fht/#_6","title":"\u8d44\u6599:","text":"<ul> <li>\u5b66\u6821\u5e73\u65f6\u7684\u8003\u8bd5\uff0c\u8bf7\u8ba4\u771f\u5bf9\u5f85</li> <li>\u6d59\u8003\u795e\u5899</li> <li>\u4e0d\u63a8\u8350\u4ec0\u4e48\u6559\u8f85\uff0c\u5bf9\u9ad8\u8003\u7684\u6700\u4f73\u62df\u5408\u662f\u9ad8\u8003\u5377+\u56db\u7701\u8054\u8003\u4e4b\u7c7b\u7684\u98ce\u5411\u5377</li> <li>\u540c\u5b66\u7684\u7b14\u8bb0\uff08\u4e0d\u662f</li> </ul>"},{"location":"summary/high%20school/phy_fht/","title":"\u7269\u7406\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 1581 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9996\u800395-&gt;\u9ad8\u8003100</p>"},{"location":"summary/high%20school/phy_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":""},{"location":"summary/high%20school/phy_fht/#_3","title":"\u8981\u4e0d\u8981\u9009\u7269\u7406\uff1f","text":"<ul> <li>\u5982\u679c\u4ee5\u540e\u60f3\u5b66\u7406\u5de5\u79d1\u7684\u8bdd\uff0c\u6700\u597d\u662f\u7269\u5316\u5927\u793c\u5305\u4e00\u8d77\u4e0a\u300224\u5e74\u6587\u79d1\u6ed1\u6863\u8fd8\u662f\u5f88\u5389\u5bb3\u7684\u3002</li> <li>\u5bf9\u4e8e\u6570\u5b66\u4e0d\u597d\u7684\u540c\u5b66\u6765\u8bf4\uff0c\u7269\u7406\u7684\u96be\u5ea6\u4e0d\u4f1a\u5f88\u5c0f\u3002<ul> <li>\u5efa\u6a21</li> <li>\u8bbe\u65b9\u7a0b\uff0c\u627e\u672a\u77e5\u91cf\uff0c\u89e3\u591a\u5143\u65b9\u7a0b</li> <li>\u4e09\u89d2\u51fd\u6570\u7684\u719f\u7ec3\u4f7f\u7528</li> <li>\u5bfc\u6570\u4ee5\u53ca\u90e8\u5206\u79ef\u5206\u7684\u4f7f\u7528</li> <li>\u5bf9\u516c\u5f0f\u63a8\u5bfc\u65b9\u5411\u7684\u628a\u63e1</li> </ul> </li> <li> <p>\u5bf9\u4e8e\u6b7b\u8bb0\u786c\u80cc\u5b66\u7269\u7406\u7684\u540c\u5b66\u6765\u8bf4\uff0c\u5343\u4e07\u4e0d\u8981\u9009\u7269\u7406\u6765\u6076\u5fc3\u81ea\u5df1/\u8001\u5e08\u3002\u8bf7\u9a8c\u8bc1\u4f60\u662f\u5426\u638c\u63e1\u5982\u4e0b\u516c\u5f0f\u63a8\u5bfc:</p> <ul> <li>\u5229\u7528\u6253\u70b9\u8ba1\u65f6\u5668\u6c42\u52a0\u901f\u5ea6\u516c\u5f0f</li> <li>\u5e73\u629b\u8fd0\u52a8\u8f68\u8ff9\u65b9\u7a0b\uff0c\u5750\u6807\u968f\u65f6\u95f4\u53d8\u5316\u51fd\u6570\uff0c\u53cd\u5411\u5ef6\u957f\u7ebf\u7684\u4e8c\u7ea7\u7ed3\u8bba</li> <li>\u4e07\u6709\u5f15\u529b\u516c\u5f0f\uff0c\u5929\u4f53\u8fd0\u52a8\u901f\u5ea6\uff0c\u89d2\u901f\u5ea6\uff0c\u5468\u671f\uff0c\u80fd\u91cf</li> <li>\u5f39\u6027\u52bf\u80fd\uff0c\u52a8\u80fd\uff0c\u673a\u68b0\u80fd\uff08\u5f15\u529b\u52bf\u80fd\uff0c\u5e93\u4ed1\u52bf\u80fd\uff09</li> <li>\u52a8\u91cf\u6765\u6e90\uff0c\u78b0\u649e\u6a21\u578b</li> <li>\u6d1b\u4f26\u5179\u529b\u53ca\u5bf9\u5e94\u7c92\u5b50\u8fd0\u52a8\u6a21\u578b</li> <li>\u7535\u78c1\u611f\u5e94\u53ca\u5bf9\u5e94\u6a21\u578b:\u65cb\u8f6c\u68d2\u7684\u52a8\u751f\u7535\u52a8\u52bf\uff0c\u5355\u68d2\uff0c\u53cc\u68d2\uff0c\u7535\u5bb9\uff0c\u7535\u611f\uff0c\u78c1\u9a71\u52a8\uff0c\u70ed\u91cf\u8ba1\u7b97</li> </ul> <p>\u5982\u679c\u4f60\u4e3b\u8981\u662f\u9760\u8bb0\u80cc\u6765\u652f\u6491\u7269\u7406\u5b66\u4e60\uff0c\u90a3\u8bf7\u4f60\u4e0d\u8981\u9009\u7269\u7406\u3002</p> </li> </ul>"},{"location":"summary/high%20school/phy_fht/#_4","title":"\u7269\u7406\u96be\u5ea6\u600e\u4e48\u6837\uff1f","text":"<ul> <li>\u7269\u7406\u5e94\u8be5\u662f\u7406\u79d1\u91cc\u4f53\u7cfb\u7ed3\u6784\u7d27\u5bc6\u5b8c\u6574\uff0c\u5e94\u8bd5\u624b\u6bb5\u4e30\u5bcc\u5b8c\u5907\u7684\u4e00\u95e8\u5b66\u79d1\u4e86\u3002\u638c\u63e1\u77e5\u8bc6\u70b9\uff0c\u5b9a\u4e49\uff0c\u5b9a\u7406\uff0c\u6a21\u578b\uff0c\u5e94\u7528\u9700\u8981\u82b1\u65f6\u95f4\uff0c\u4e14\u6709\u5408\u7406\u7684\u8def\u7ebf\u53ef\u4ee5\u4f9d\u636e\u3002<ul> <li>\u8ddf\u5316\u5b66\u6bd4\uff0c\u5b83\u66f4\u504f\u5b9a\u91cf\uff0c\u6709\u660e\u786e\u7684\u516c\u5f0f\u8ba1\u7b97\uff0c\u5b8c\u6574\u7684\u903b\u8f91\u94fe\u6761\u3002</li> <li>\u8ddf\u6570\u5b66\u6bd4\uff0c\u5b83\u66f4\u504f\u5e94\u7528\uff0c\u6709\u6e05\u6670\u7684\u7ed3\u679c\u5bfc\u5411\uff0c\u4e0d\u8981\u6c42\u7075\u611f\u7206\u53d1\u3002</li> <li>\u8ddf\u6280\u672f\u6bd4\uff0c\u5b83\u66f4\u504f\u8ba1\u7b97\uff0c\u6709\u76f8\u6263\u7684\u77e5\u8bc6\u4f53\u7cfb\uff0c\u66f4\u4f4e\u7684\u5b66\u4e60\u95e8\u69db\u3002</li> </ul> </li> <li>\u53ea\u8981\u4f60\u613f\u610f\u4e0b\u529f\u592b\uff0c\u7269\u7406\u7edd\u5bf9\u662f\u4e00\u95e8\u52aa\u529b\u5c31\u6709\u56de\u62a5\u7684\u5b66\u79d1\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_5","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u8ddf\u6280\u672f\u7c7b\u4f3c</p>"},{"location":"summary/high%20school/phy_fht/#etc","title":"\u627e\u4e00\u672c\u6559\u8f85\uff08\u4e94\u4e09\u9ad8\u8003\u7248 etc.\uff09\u770b\u5b8c\u77e5\u8bc6\u70b9","text":"<ul> <li>\u8981\u6c42\u80fd\u591f\u77e5\u9053\u5b9a\u4e49\uff0c\u91cd\u8981\u516c\u5f0f\u63a8\u5bfc\uff0c\u884d\u751f\u4e8c\u7ea7\u7ed3\u8bba\u548c\u57fa\u672c\u6a21\u578b     \u6bd4\u5982:<ul> <li>\u7535\u5bb9\u7684\u5b9a\u4e49</li> <li>\u7535\u5bb9\u5927\u5c0f\u7684\u8ba1\u7b97\u5f0f</li> <li>\u6d89\u53ca\u7535\u5bb9\u7684\u52a8\u6001\u53d8\u5316</li> <li>\u7535\u5bb9\u5728\u7535\u8def\u4e2d\u5982\u4f55\u8ba1\u7b97</li> <li>\u7535\u5bb9\u7684\u80fd\u91cf\u516c\u5f0f</li> <li>\u7535\u5bb9\u5145\u653e\u7535\u5b9e\u9a8c</li> <li>\u7535\u5bb9\u5728\u4ea4\u6d41\u7535\u4e2d\u7684\u4f5c\u7528\uff08\u5b9a\u6027\uff09</li> <li>\u7535\u5bb9\u4e0e\u5176\u4ed6\u6a21\u578b\u7684\u7ed3\u5408</li> <li>...</li> </ul> </li> </ul>"},{"location":"summary/high%20school/phy_fht/#_6","title":"\u505a\u9898","text":"<ul> <li>\u9898:<ul> <li>\u5377\u5b50</li> <li>\u4e13\u9898  </li> </ul> </li> <li>\u65b9\u6cd5:<ul> <li>\u5377\u5b50\u7528\u6765\u67e5\u6f0f\u8865\u7f3a\uff0c\u63d0\u5347\u6574\u4f53\u5b8c\u6210\u5ea6\uff0c\u4f18\u5316\u65f6\u95f4\u5206\u914d\uff0c\u5feb\u901f\u5efa\u6784\u77e5\u8bc6\u6846\u67b6</li> <li>\u4e13\u9898\u7528\u6765\u5f3a\u5316\u8ba1\u7b97\uff0c\u719f\u6089\u516c\u5f0f\uff0c\u6df1\u5316\u903b\u8f91\u53ca\u5f52\u7eb3\u672c\u8d28</li> </ul> </li> <li>\u5982\u679c\u4e0d\u4f1a\u600e\u4e48\u529e:<ul> <li>\u770b\u7b54\u6848\uff0c\u95ee\u8001\u5e08\uff0c\u95ee\u540c\u5b66</li> <li>\u9009\u53d6\u540c\u7c7b\u9898\u76ee\uff0c\u505a\u8db3\u591f\u6570\u91cf\u540e\u5f52\u7eb3\u6574\u7406\u6a21\u578b</li> </ul> </li> <li>\u6613\u9519\u70b9\u5373\u4f7f\u8bb0\u5f55<ul> <li>\u53ef\u7528\u6d3b\u9875\u672c/A4\u7eb8+\u71d5\u5c3e\u5939</li> </ul> </li> <li>\u63a8\u8350\u5f52\u7eb3\u6a21\u578b\u800c\u4e0d\u662f\u6574\u7406\u9519\u9898</li> <li>\u4e00\u5b9a\u8981\u591a\u7ec3\u8ba1\u7b97\u548c\u65f6\u95f4\uff0c\u5c11\u7528/\u4e0d\u7528\u8ba1\u7b97\u5668<ul> <li>\u5728\u9ad8\u4e09\u672b\u671f\uff0c\u6211\u80fd\u7a33\u5b9a40min\u505a\u5b8c\u673a\u68b0\u80fd\u53ca\u524d\u9762\u6240\u6709\u90e8\u5206\u3002\u5f53\u7136\u8fd9\u5bf9\u5927\u591a\u6570\u540c\u5b66\u6765\u8bf4\u592a\u5feb\u4e86\uff0c\u4f46\u901f\u5ea6\u63d0\u5347\u600e\u4e48\u4e5f\u4e0d\u5acc\u591a\u3002</li> <li>\u4f8b\u5982\u572824\u5e74\u9ad8\u8003\u4e2d\uff0c\u5f88\u591a\u540c\u5b66\u7531\u4e8e\u7535\u78c1\u611f\u5e94\u5361\u58f3\u800c\u6ca1\u6709\u505a\u5b8c\u5377\u5b50\uff0c\u5bfc\u81f4\u4e8c\u8003\u672a\u80fd\u5b9e\u73b0\u6709\u6548\u63d0\u5206\u3002</li> </ul> </li> <li>\u9009\u62e9\u9898\u5f88\u91cd\u8981\uff0c\u4e00\u9053\u4e09\u5206\u5343\u4e07\u522b\u9519\u3002\u591a\u9009\u9898\u8bf7\u4fdd\u5b88\u4e00\u4e9b\uff0c\u6fc0\u8fdb\u5f80\u5f80\u4e0d\u4f1a\u6709\u597d\u7ed3\u679c\uff0c\u9ad8\u8003\u540e\u6094\u5c31\u6765\u4e0d\u53ca\u4e86\u3002</li> <li>\u4e0d\u4f1a\u7684\u9898\u76ee\u53ca\u65f6\u6b62\u635f\uff0c\u5982\u673a\u68b0\u80fd\u4e2d\u65e0\u8c13\u7684\u5206\u7c7b\u8ba8\u8bba\uff0c\u7535\u78c1\u611f\u5e94\u4e2d\u65e0\u8c13\u7684\u70ed\u91cf\u8ba1\u7b97\u7b49\u7b49\uff0c\u53ef\u4ee5\u7b49\u505a\u5b8c\u6574\u5f20\u5377\u5b50\u540e\u518d\u6765\u505a\u3002</li> <li>\u4e0d\u8981\u6c89\u8ff7\u504f\uff0c\u602a\uff0c\u96be\uff0c\u73b0\u5728\u7684\u6a21\u62df\u5377\u5f88\u591a\u98ce\u683c\u504f\u79bb\u9ad8\u8003\uff0c\u8bf7\u57f9\u517b\u8fa8\u522b\u8d28\u91cf\u7684\u672c\u9886\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_7","title":"\u5fc3\u6001\u65b9\u9762:","text":"<ul> <li>\u7269\u7406\u7684\u8003\u8bd5\u65f6\u95f4\u89c4\u5212\u5f88\u91cd\u8981\uff0c\u4e0d\u4f1a\u7684\u53ef\u4ee5\u5148\u8df3\u8fc7\u53bb\uff0c\u56de\u6765\u5728\u505a\uff0c\u5f53\u7136\u8df3\u591a\u4e86\u81ea\u7136\u4e5f\u8003\u4e0d\u597d\u4e86\u3002\u8981\u9759\u4e0b\u6765\u505a\u9898\u3002</li> <li>\u6ce8\u610f\u529b\u96c6\u4e2d\uff0c\u76f8\u4fe1\u81ea\u5df1\u7684\u5224\u65ad\uff0c\u653e\u677e\u505a\u9898\u3002</li> <li>\u5fc3\u6001\u5e26\u6765\u7684\u5f71\u54cd\u4e3b\u8981\u96c6\u4e2d\u5728\u9009\u62e9\u9898\u4e0a\uff0c\u6211\u9996\u8003\u9519\u4e864.5\u9053\u7684\u9009\u62e9\u9898\uff0c\u76f4\u63a595\u4e86\u3002</li> <li>\u5e73\u65f6\u8003\u8bd5\u6ca1\u6709\u5f88\u5927\u4ef7\u503c\uff0c\u8054\u8003\u7684\u552f\u4e00\u610f\u4e49\u5c31\u662f\u6a21\u62df\u9ad8\u8003\u6c1b\u56f4\u953b\u70bc\u5fc3\u6001\u3002\u6211\u9996\u8003\u524d\u7a33\u5b9a99+\uff0c\u6700\u540e\u4e0d\u8fd8\u662f\u8003\u4e86\u4e2a95\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_8","title":"\u8d44\u6599\u65b9\u9762:","text":"<ul> <li>\u6d59\u8003\u7269\u7406\u4e0a\u6709\u4e00\u4e9b\u5377\u5b50\uff08\u4e0d\u5168\u9762\uff09</li> <li>\u6d59\u8003\u795e\u5899\u4f1a\u6709\u51e0\u4e4e\u6240\u6709\u8054\u8003\u7684\u5377\u5b50</li> <li>\u6559\u8f85\u4e66\u63a8\u8350:<ul> <li>\u9ad8\u8003\u4e94\u4e09\uff08\u7ea2\u7684\u7d2b\u7684\u90fd\u53ef\u4ee5\uff09</li> <li>\u9ad8\u8003\u5fc5\u5237\u9898</li> <li>\u5f53\u7136\uff0c\u5b66\u6821\u80af\u5b9a\u4f1a\u4e70\u7684\uff08\u6bd4\u5982\u6b65\u6b65\u9ad8\uff09\u3002\u5982\u679c\u4f60\u8fd8\u662f\u9ad8\u4e00\u9ad8\u4e8c\u53ef\u4ee5\u505a\u505a\u8f85\u5bfc\u4e66\uff0c\u5982\u679c\u662f\u9ad8\u4e09\u4e86\uff0c\u8fd8\u662f\u5efa\u8bae\u5377\u5b50+\u4e13\u9898\u7684\u6a21\u5f0f\u3002\uff08\u4e13\u9898\u6765\u81ea\u4e8e\u9ad8\u8003\u5fc5\u5237\u9898\u4e4b\u7c7b\u7684\u4e66\uff09\u8bf7\u52ff\u9677\u5165\uff0c\u6211\u505a\u9898\u591a\u5c31\u662f\u597d\u3002\u6211\u51e0\u4e4e\u505a\u5b8c\u4e8623\u5c4a+24\u5c4a\u6d59\u6c5f\u6240\u6709\u7684\u8054\u8003\u5377\uff0c\u611f\u89c9\u63d0\u5347\u5e76\u4e0d\u4f1a\u5f88\u5927\u3002</li> <li>\u7406\u6027\u5237\u9898\u6027\u4ef7\u6bd4\u66f4\u9ad8\u3002</li> </ul> </li> </ul>"},{"location":"summary/high%20school/phy_fht/#_9","title":"\u662f\u5426\u8981\u5b66\u4e60\u9ad8\u7ea7\u5185\u5bb9:","text":"<ul> <li>\u5982\u679c\u4e3a\u4e86\u9ad8\u8003\u53d6\u5f9797+\u7684\u6210\u7ee9\uff0c\u6211\u8ba4\u4e3a\u662f\u6ca1\u6709\u5fc5\u8981\u3002\u5982\u679c\u771f\u7684\u60f3\u5b66\uff0c\u63a8\u8350\u5b66\u4e60\u4e00\u4e0b\u5185\u5bb9:<ul> <li>\u7b80\u5355\u51fd\u6570\u7684\u79ef\u5206\uff08\u53c2\u770b\u540c\u6d4e\u7248\u9ad8\u6570\u4e0a\u518c\uff09</li> <li>\u5fae\u5206\u65b9\u7a0b\u7684\u89e3 \uff08\u53c2\u770b\u540c\u6d4e\u7248\u9ad8\u6570\u4e0b\u518c\uff09</li> <li>\u659c\u629b\u8fd0\u52a8</li> <li>\u7535\u78c1\u611f\u6027\u4e2d\u5355\u68d2\uff0c\u53cc\u68d2\u6a21\u578b\u7684\u5b9a\u91cf\u8ba1\u7b97\uff08\u6d89\u53ca\u5fae\u5206\u65b9\u7a0b\uff09</li> <li>\u4ea4\u6d41\u7535\u6709\u6548\u503c\u7684\u63a8\u5bfc</li> <li>\u6768\u6c0f\u5e72\u6d89\u7684\u5b9a\u91cf\u8ba1\u7b97</li> </ul> </li> <li>\u5982\u679c\u662f\u4e3a\u4e86\u5f3a\u57fa\u6216\u8005\u4e09\u4e00\uff0c\u6211\u529d\u4f60\u7701\u7701\u5427\uff0c\u9ad8\u8003\u641e\u5230\u4f4d\u6b211000\u4e86\u518d\u8bf4\u5427\u3002\u6027\u4ef7\u6bd4\u771f\u7684\u5f88\u4f4e\u5f88\u4f4e\uff0c\u522b\u4fe1\u673a\u6784\u7684\u9b3c\u8bdd\uff0c\u9ad8\u8003\u5206\u6570\u624d\u662f\u6700\u91cd\u8981\u7684\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_10","title":"\u8001\u5e08\u4e0a\u8bfe\u662f\u5426\u8981\u542c:","text":"<ul> <li>\u56e0\u4eba\u800c\u5f02\uff0c\u4f60\u89c9\u5f97\u6709\u7528\u5c31\u542c\uff0c\u4f46\u5bf9\u4e8e\u6211\u6765\u8bf4\uff0c\u542c\u8bfe\u7684\u6548\u7387\u80af\u5b9a\u6bd4\u4e0d\u4e0a\u81ea\u5df1\u505a\u9898\u7684\u6548\u7387\u3002\u5e08\u751f\u4e92\u76f8\u8ba9\u6b65\u8fbe\u6210\u4e00\u81f4\u5c31\u597d\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_11","title":"\u662f\u5426\u6709\u5fc5\u8981\u8bfe\u5916\u8f85\u5bfc:","text":"<ul> <li>\u56e0\u4eba\u800c\u5f02\uff0c\u8f85\u5bfc\u73ed\u80fd\u63d0\u4f9b\u7684\u65e0\u975e\u662f\u4e0a\u8ff0\u51e0\u79cd:\u77e5\u8bc6\u70b9\u8bb2\u89e3\uff0c\u9898\u76ee\uff0c\u89e3\u7b54\uff08\u53ef\u80fd\u8fd8\u6ca1\u6709\uff09\uff0c\u7ed9\u5bb6\u957f\u4e00\u4e2a\u5b89\u5fc3\u3002</li> <li>\u5f53\u7136\uff0c\u6211\u89c9\u5f97\u6548\u7387\u4e0d\u4f1a\u6bd4\u5b66\u6821\u9ad8\u591a\u5c11\u3002\u5982\u679c\u771f\u5b66\u4e0d\u4f1a\u4e86\uff0c\u90a3\u8fd8\u662f\u53bb\u5427\u3002</li> </ul> <p>\u53cd\u6b63\u8fd8\u662f\u5e0c\u671b\u5927\u5bb6\u53d1\u6325\u4e3b\u89c2\u80fd\u52a8\u6027\uff0c\u5b66\u6821\u53ea\u6709\u515c\u5e95\u4f5c\u7528\uff0c\u4e0d\u8fc7\u8c01\u77e5\u9053\u5e95\u5728\u54ea\u91cc</p>"},{"location":"summary/high%20school/tech_fht/","title":"\u6280\u672f\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 1324 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9996\u800389-&gt;\u9ad8\u800398</p>"},{"location":"summary/high%20school/tech_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":""},{"location":"summary/high%20school/tech_fht/#_3","title":"\u6280\u672f\u597d\u8d4b\u5206\u5417\uff1f","text":"<p>\u4e00\u822c\uff0c\u81f3\u5c11\u6bd4\u751f\u7269\u597d\u8d4b\u5206\uff08\u4e2a\u4eba\u611f\u89c9\uff09\u3002\uff08\u4e0d\u8fc7\u4e5f\u53ef\u4ee5\u9009\u5730\u7406\uff0c\u53ef\u80fd\u4f1a\u66f4\u597d\u8d4b\u5206\uff09 \u4f46\u5c31\u5e73\u65f6\u7684\u8054\u76df\u8003\u6765\u8bf4\uff0c</p> <ul> <li>\u5927\u6982\u9ad8\u4e00\u9ad8\u4e8c\u8d4b\u5206\u4f1a\u597d\u4e00\u4e9b\uff08\u6bd5\u7adf\u5f88\u591a\u4ebaprogramming\u90fd\u8fd8\u6ca1\u600e\u4e48\u641e\u61c2\uff09\u3002</li> <li>\u5230\u9ad8\u4e09\u5c31\u4e0d\u4e00\u5b9a\u4e86\uff0c\u4e3b\u8981\u770b\u8054\u76df\u53c2\u52a0\u7684\u5b66\u6821\u548c\u5377\u5b50\u672c\u8eab\u7684\u8d28\u91cf\u3002\u8bb0\u5f97\u9ad8\u8003\u524d\u7684\u4e94\u6821\u8054\u8003\uff0c\u5377\u5b50\u597d\u50cf\u633a\u7b80\u5355\u7684\uff0c\u4f46\u662f\u8d4b\u5206\u6781\u5176\u96be\u8d4b\u3002</li> <li>\u81f3\u4e8e\u9ad8\u8003\uff0c\u8d4b\u5206\u8fd8\u884c\uff0c\u4f46\u662f\u9ad8\u5206\u5f88\u96be\uff08\u7279\u522b\u630798+\uff09\uff0c\u4f30\u8ba1\u662f\u9547\u4e2d\u6e29\u4e00\u5b66\u519b\u676d\u4e8c\u628a\u5206\u5361\u4f4f\u4e86\u3002</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_4","title":"\u5b66\u79d1\u96be\u5ea6\u5927\u5417\uff1f","text":"<ul> <li>\u6211\u662f\u5728\u9009\u6280\u672f\u4e4b\u524d\u5c31\u4f1aC++\uff0cPython\uff0c\u4e2a\u4eba\u611f\u89c9\u662f\u9ad8\u4e2d\u77e5\u8bc6\u70b9\u4e0d\u96be\uff0c\u5e73\u65f6\u9898\u76ee\u4e5f\u4e0d\u662f\u5f88\u96be\u3002\u4f46\u662f\u9ad8\u8003\u5c31\u4e0d\u4e00\u5b9a\u4e86\uff0c\u7531\u4e8e\u6280\u672f\u8fd8\u6ca1\u8003\u51e0\u5e74\uff08\u5957\u8def\u8fd8\u6ca1\u88ab\u7a77\u5c3d\uff09\uff0c\u6240\u4ee5\u7a0d\u5fae\u4e00\u53d8\u5316\u5c31\u5bb9\u6613\u6b7b\u4e00\u5927\u7247\u3002</li> <li>\u4f46\u662f\u7f16\u7a0b\u5bf9\u521a\u5165\u95e8\u7684\u65b0\u624b\u800c\u8a00\uff0c\u96be\u5ea6\u8fd8\u662f\u4e0d\u5c0f\u7684\u3002\u7279\u522b\u662f\uff0c\u79bb\u8c31\u7684\u5e94\u8bd5\u6559\u80b2\u65b9\u5f0f&amp;\u96be\u8bc4\u7684\u81ea\u5b66\u80fd\u529b\uff0c\u5f88\u96be\u8bf4\u9760\u5199(write)\u4ee3\u7801\u53ef\u4ee5\u5f88\u597d\u7684\u638c\u63e1\u7b97\u6cd5/\u6570\u636e\u7ed3\u6784\u3002\u6781\u5176\u5bb9\u6613\u9677\u5165\u80cc\u4ee3\u7801\u7684\u6b7b\u5c40\u3002</li> <li>\u4e3b\u8981\u6765\u8bb2\u5c31\u662f\uff0c\u6ca1\u6709\u7269\u7406\u5316\u5b66\u96be\u3002</li> <li>\u6027\u4ef7\u6bd4\u633a\u9ad8\uff08\u5bf9\u6211\u6765\u8bf4\uff0c\u9ad8\u4e8c\u51e0\u4e4e\u6ca1\u6709\u82b1\u65f6\u95f4\uff0c\u9ad8\u4e09\u4e5f\u53ea\u662f\u505a\u505a\u8054\u8003\u5377\uff0c\u4f5c\u4e1a\u57fa\u672c\u6ca1\u505a\u8fc7\u3002\u82b1\u7684\u65f6\u95f4\u4f30\u8ba1\u662f\u82b1\u5728\u5316\u5b66\u4e0a\u7684\u96f6\u5934: (\uff09</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_5","title":"\u90a3\u8981\u4e0d\u8981\u9009\u6280\u672f\u634f\uff1f","text":"<ul> <li>\u5982\u679c\u662f\u4ee5\u540e\u5b66\u8ba1\u7b97\u673a\u76f8\u5173\u7684\u8fd8\u662f\u5efa\u8bae\u9009\uff0c\u8fd9\u6837\u7b49\u5927\u5b66\u4e86\u4f1a\u6709\u5f88\u5927\u4f18\u52bf\u3002</li> <li>\u4f46\u5982\u679c\u4e00\u70b9programming\u90fd\u641e\u4e0d\u61c2\uff0c\u90a3\u8fd8\u662f\u7b97\u4e86\u3002</li> <li>\u5982\u679c\u6ca1\u6709\u9009\u7269\u7406/\u7269\u7406\u4e0d\u597d\uff0c\u4e5f\u614e\u91cd\u9009\u6280\u672f\u5427\u3002\uff08\u4e0d\u7136\u82b1\u5728\u7535\u63a7\u4e0a\u7684\u65f6\u95f4\u4f1a\u5f88\u6ca1\u6709\u6027\u4ef7\u6bd4\uff09</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_6","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u4ec5\u5c31\u9ad8\u4e09\u800c\u8a00\uff08\u9ad8\u4e8c\u6ca1\u5b66\uff09</p>"},{"location":"summary/high%20school/tech_fht/#_7","title":"\u5148\u8981\u786e\u4fdd\u57fa\u7840\u7684\u77e5\u8bc6\u70b9\u90fd\u4f1a:","text":"<ol> <li>\u5148\u628a\u6559\u8f85\u770b\u4e00\u904d\uff08\u5b66\u6821\u80af\u5b9a\u4f1a\u4e70\u7684\u4e00\u4e9b\u4e71\u4e03\u516b\u7cdf\u7684\uff0c\u53cd\u6b63\u5e02\u9762\u4e0a\u4e5f\u6ca1\u4ec0\u4e48\u5f88\u597d\u7684\u6559\u8f85\uff09</li> <li>\u518d\u628a\u4e66\u770b\u4e00\u904d\uff08\u5f88\u5c0f\u7684\u70b9\u90fd\u8981\u77e5\u9053\uff09</li> <li>\u81ea\u5df1\u5c1d\u8bd5\u628a\u77e5\u8bc6\u70b9\u90fd\u7406\u4e00\u904d\uff08\u9009\u505a\uff09</li> <li>\u6ce8\u610f:\u6280\u672f\u672c\u8eab\u7684\u77e5\u8bc6\u4f53\u7cfb\u5e76\u4e0d\u50cf\u7269\u7406\u5316\u5b66\u90a3\u6837\u7d27\u5bc6\uff0c\u6240\u4ee5\u70b9\u90fd\u662f\u633a\u5206\u6563\u7684\u3002\u4e00\u5b9a\u5de9\u56fa\u597d\u57fa\u7840\u3002 \uff08\u7528\u65f6\u5927\u6982:1\u4e2a\u661f\u671f\uff1f\u4e00\u59293h\u3002\u56e0\u4eba\u800c\u5f02\uff09</li> </ol>"},{"location":"summary/high%20school/tech_fht/#_8","title":"\u7136\u540e\u5c31\u662f\u505a\u9898:","text":"<ul> <li>\u5148\u505a\u70b9\u5377\u5b50\uff0c\u770b\u770b\u81ea\u5df1\u6f0f\u6d1e\u5728\u54ea\uff0810\u5f20\u5dee\u4e0d\u591a\u4e86\uff0c\u4e00\u5b9a\u8981\u77ed\u65f6\u95f4\u5185\u505a\u5b8c\uff09:<ul> <li>\u5efa\u8bae\u8054\u8003\u5377\u90fd\u505a\u505a\uff0c\u624d\u77e5\u9053\u4ec0\u4e48\u662f\u597d\u7684\u5377\u5b50\u3002\uff08\u8001\u5e08\u80af\u5b9a\u4f1a\u53d1\u7684\uff09</li> </ul> </li> <li>\u7136\u540e\u505a\u70b9\u4e13\u9898\uff0c\u8d44\u6599\u6765\u6e90\uff08\u6d59\u8003\u4ea4\u6d41\uff09<ul> <li>\u4e3b\u8981\u662f\u8981\u641e\u660e\u767d\u77e5\u8bc6\u70b9\uff0c\u6bd4\u5982<ul> <li>\u94fe\u8868\uff08\u57fa\u7840\u64cd\u4f5c\uff0c\u5feb\u6162\u6307\u9488\uff09\uff0c\u4e8c\u5206\uff08\u4e8c\u53c9\u641c\u7d22\u6811\uff09</li> <li>\u5e38\u89c1\u7684pandas\u64cd\u4f5c</li> <li>\u7f51\u8def\u76f8\u5173\uff08\u80cc\u4e66\uff09</li> <li>\u7535\u63a7\u7684\u57fa\u672c\u6a21\u578b\uff08\u9707\u8361\u7535\u8def\u7684\u51e0\u79cd\u5199\u6cd5\uff0c\u955c\u50cf\u7535\u6d41\u6e90\uff09</li> <li>\u7cfb\u7edf&amp;\u63a7\u5236\uff08\u6bcf\u4e2a\u90e8\u5206\u90fd\u8981\u5f88\u786e\u5b9a\uff0c\u8001\u5e08\u8bb2\u4e0d\u6e05\u695a\uff0c\u81ea\u5df1\u4e00\u5b9a\u8981\u53bb\u641e\u61c2\uff0c\u4e0d\u7136\u5c31\u662f\u505a\u4e00\u9053\u9519\u4e00\u9053\uff09</li> <li>\u5c3a\u5bf8\u6807\u6ce8\uff08\u9519\u51e0\u56de\u5c31\u597d\u4e86\uff09</li> <li>\u4e09\u89c6\u56fe\uff08\u5b58\u7591\uff0c\u8fd9\u9898\u4e00\u76f4\u5728\u53d8\uff09</li> </ul> </li> </ul> </li> <li>\u57fa\u672c\u5c31\u5dee\u4e0d\u591a\u4e86\uff08\u540e\u9762\u518d\u82b1\u65f6\u95f4\u6027\u4ef7\u6bd4\u5c31\u4e0d\u9ad8\u4e86\uff09\uff0c\u5982\u679c\u8fd8\u60f3\u7ee7\u7eed\uff0c\u90a3\u5c31\u81ea\u5df1\u6574\u4e2a\u672c\u5b50\uff0c\u628a\u9519\u9898\u641e\u4e0a\u53bb\uff0c\u6bcf\u6b21\u8003\u8bd5\u524d\u770b\u770b\u3002\uff08\u5b9e\u9645\u4f5c\u7528\u5c31\u662f\u8ba9\u4f60\u522b\u4e00\u505a\u5b8c\u5c31\u628a\u9898\u6254\u4e86\uff0c\u4e5f\u4e0d\u641e\u61c2\uff0c\u90a3\u6837\u7b49\u4e8e\u6ca1\u505a\uff09\u4f46\u9519\u9898\u672c\u5176\u5b9e\u6548\u7387\u5f88\u4f4e\u3002\uff08formalism\uff09</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_9","title":"\u505a\u9898\u65f6\u95f4\u65b9\u9762:","text":"<ul> <li>\u6211\u662f\u57fa\u672c\u5148\u505a\u4fe1\u606f\uff0c\u5728\u505a\u901a\u7528\u7684<ul> <li>\u4fe1\u606f13\u9898\u548c\u5927\u9898\u6700\u540e\u4e00\u9898\u4e0d\u4f1a\u7684\u5148\u7a7a\u7740\uff08\u586b\u4e2a\u4e0d\u786e\u5b9a\u7684\uff09\uff0c\u7136\u540e\u53bb\u505a\u901a\u7528\u3002\u5927\u6982\u524d\u976230min\u80fd\u641e\u5b9a</li> <li>\u901a\u7528\u8349\u56fe\u5148\u7a7a\u7740\uff0c\u628a\u7535\u63a7\u5927\u9898\u505a\u5b8c\uff0c\u7136\u540e\u56de\u53bb\u753b\u8349\u56fe\u3002\uff08\u5927\u698240min\uff09</li> <li>\u753b\u5b8c\u8349\u56fe\u518d\u56de\u53bb\u505a\u4fe1\u606f\u4e0d\u4f1a\u7684\u3002</li> <li>\u6700\u540e\u53ef\u4ee5\u6446\u70c2\u4e86\uff0c\u8981\u68c0\u67e5\u4e5f\u53ef\u4ee5\uff08\u53cd\u6b63\u68c0\u67e5\u4e0d\u51fa\u6765\uff09</li> </ul> </li> <li>\u505a\u9898\u600e\u4e48\u5feb\u4e00\u70b9\uff08\u9898\u90fd\u505a\u4e0d\u5b8c\uff0c\u8c08\u4ec0\u4e48\u90fd\u662f\u767d\u642d\uff09:<ul> <li>\u83dc\u5c31\u591a\u7ec3\uff08\u4e0a\u8bfe40min\uff0c\u505a\u5b8c\u9664\uff08\u7535\u63a7/\u586b\u7a0b\u4e0d\u4f1a\u7684&amp;\u753b\u56fe\uff09\u7684\u9898\uff09</li> <li>\u6216\u8005\u665a\u81ea\u4e601h\uff0c\u505a\u5b8c\u5168\u90e8\uff08\u9664\u753b\u56fe\uff09+\u5bf9\u7b54\u6848</li> </ul> </li> <li>\u753b\u56fe\u5c31\u628a\u8054\u8003\u9898\u90fd\u653e\u4e00\u8d77\uff0c\u4e00\u6b21\u753b\u4e2a10\u5f20\u5de6\u53f3\u5c31\u5dee\u4e0d\u591a\u4e86\uff0c\u6ca1\u4ec0\u4e48\u6a21\u578b\u7684\uff08</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_10","title":"\u5fc3\u6001\u65b9\u9762:","text":"<ul> <li>\u53cd\u6b63\u9ad8\u8003\u548c\u5e73\u65f6\u8fd8\u662f\u5f88\u4e0d\u4e00\u6837\u7684\uff0c\u5efa\u8bae\u5e73\u65f6\u5927\u8003\u5f53\u9ad8\u8003\u8003\u3002</li> <li>\u7136\u540e\u5c31\u662f\u4e00\u6b21\u8003\u5dee\u6ca1\u5565\u5173\u7cfb\uff0c\u65f6\u95f4\u82b1\u5728\u8be5\u82b1\u7684\u5730\u65b9\u5c31\u597d\u4e86\uff0c\u8981\u5bf9\u81ea\u5df1\u7684\u5b66\u4e60\u6709\u638c\u63a7\u529b\u3002</li> <li>\u8001\u5e08\u6559\u7684\u4e0d\u597d\u8981\u5b66\u4f1a\u81ea\u5df1\u5b66</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_11","title":"\u8d44\u6599\u65b9\u9762:","text":"<ul> <li>\u6d59\u8003\u4ea4\u6d41\u89e3\u51b3\u6240\u6709\uff08</li> <li>\u8f85\u5bfc\u4e66\u90fd\u5dee\u4e0d\u591a\uff0c\u770b\u591a\u4e86\u6d6a\u8d39\u65f6\u95f4</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_12","title":"\u5176\u4ed6:","text":"<ul> <li>\u53ef\u4ee5\u548c\u540c\u5b66\u4e00\u8d77\u5b66\uff08\u4e0d\u662f\u4e00\u8d77\u6446\u70c2\u54e6\uff09</li> <li>\u771f\u5b66\u4e0d\u4f1a\u4e86\u8d76\u7d27\u6362\u79d1\u5427</li> <li>\u90fd\u5b66\u6280\u672f\u4e86\uff0c\u5b66\u5b66\u600e\u4e48\u641c\u96c6\u8d44\u6599\u5427</li> <li>\u6709\u7528\u7684\u4f5c\u4e1a\u5c31\u505a\uff0c\u6ca1\u7528\u7684\u5c31\u7b97\u4e86\uff08\u614e\u91cd\uff09</li> <li>\u63d0\u5347\u6210\u7ee9\u7684debuff\u8fd8\u662f\u4e0d\u5c11\u7684\uff0c\u522b\u6028\u5929\u5c24\u4eba\u7684\uff08\u6b22\u8fce\u52a0\u5b66\u957f\u5b66\u59d0\u6765\u54a8\u8be2</li> <li>\u9996\u8003\u8003\u5dee\u4e86\u600e\u4e48\u529e:<ul> <li>\u8fd8\u80fd\u600e\u4e48\u529e\uff0c\u7ee7\u7eed\u5b66\u5457\u3002</li> </ul> </li> <li>\u5b66\u4e0d\u61c2\u4e0a\u8bfe\u5c31\u597d\u597d\u542c\uff0c\u522b\u73a9\u6e38\u620f\uff08\u4e0d\u7136\u600e\u4e48\u5b66\uff09</li> </ul> <p>\u6700\u540e:\u5e0c\u671b\u5927\u5bb6\u90fd\u80fd\u8003\u597d :\uff09</p>"},{"location":"summary/high%20school/%E4%B8%80%E4%BA%9B%E8%B5%84%E6%BA%90/","title":"\u4e00\u4e9b\u8d44\u6e90","text":"<p> \u7ea6 31 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <p>\u4e00\u4e9b\u8d44\u6e90\u94fe\u63a5\uff0c\u53ef\u4ee5\u53c2\u8003\u7740\u770b:</p> <ul> <li>wjyyy \u9ad8\u4e09\u751f\u5b58\u6307\u5357</li> <li>IAI\u7ecf\u9a8c\u5206\u4eab</li> </ul> <p>\u6570\u5b66:</p> <ul> <li>\u9009\u62e9\u9898\u538b\u8f74</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/","title":"\u89c6\u89c9SLAM\u5341\u56db\u8bb2","text":"<p> \u7ea6 14110 \u4e2a\u5b57  72 \u884c\u4ee3\u7801  20 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 48 \u5206\u949f</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#1","title":"1 \u9884\u5907\u77e5\u8bc6","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#11","title":"1.1 \u672c\u4e66\u8bb2\u4ec0\u4e48","text":"<p>simultaneous localization and mapping</p> <ul> <li>\u5b9a\u4f4d</li> <li>\u5730\u56fe\u6784\u5efa</li> <li>\u80cc\u666f\u77e5\u8bc6:<ul> <li>\u5c04\u5f71\u51e0\u4f55</li> <li>\u8ba1\u7b97\u673a\u89c6\u89c9</li> <li>\u72b6\u6001\u4f30\u8ba1\u7406\u8bba</li> <li>\u674e\u7fa4\u4e0e\u674e\u4ee3\u6570</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#12","title":"1.2 \u5982\u4f55\u4f7f\u7528\u672c\u4e66","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#121","title":"1.2.1 \u7ec4\u7ec7\u65b9\u5f0f","text":"<ul> <li>\u6570\u5b66\u57fa\u7840\u7bc7<ul> <li></li> </ul> </li> <li>\u5b9e\u8df5\u5e94\u7528\u7bc7<ul> <li></li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#122","title":"1.2.2 \u4ee3\u7801","text":"<p>GitHub - gaoxiang12/slambook2: edition 2 of the slambook</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#123","title":"1.2.3 \u9762\u5411\u7684\u8bfb\u8005","text":"<ul> <li>\u57fa\u7840\u77e5\u8bc6:<ul> <li>\u9ad8\u6570\u7ebf\u4ee3\u6982\u7387\u8bba</li> <li>C++\u8bed\u8a00\u57fa\u7840\uff08C++\u6807\u51c6\u5e93\uff0c\u6a21\u677f\u7c7b\uff0c\u4e00\u90e8\u5206 C++11 \uff09</li> <li>Linux \u57fa\u7840</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#13","title":"1.3 \u98ce\u683c\u7ea6\u5b9a","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#14","title":"1.4 \u81f4\u8c22\u548c\u58f0\u660e","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#15","title":"1.5 \u4e60\u9898","text":"<ul> <li>\u9898\u76ee\uff1a\u6709\u7ebf\u6027\u65b9\u7a0b \\(A x=b\\)\uff0c\u82e5\u5df2\u77e5 \\(A, b\\)\uff0c\u9700\u8981\u6c42\u89e3 x\uff0c\u8be5\u5982\u4f55\u6c42\u89e3\uff1f\u8fd9\u5bf9 A \u548c b \u6709\u54ea\u4e9b\u8981\u6c42\uff1f\u63d0\u793a\uff1a\u4ece A \u7684\u7ef4\u5ea6\u548c\u79e9\u89d2\u5ea6\u6765\u5206\u6790\u3002</li> <li>\u7b54\u6848\uff1a\u7ebf\u6027\u65b9\u7a0b\u7ec4 \\(Ax = b\\) \u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u65b9\u6cd5\u6c42\u89e3\uff0c\u5982\u9ad8\u65af\u6d88\u5143\u6cd5\u3001\u77e9\u9635\u9006\u6cd5\u7b49\u3002\u8981\u6c42 \\(A\\) \u662f\u4e00\u4e2a\u65b9\u9635\u4e14\u53ef\u9006\uff08\u5373 \\(A\\) \u7684\u884c\u5217\u5f0f\u4e0d\u4e3a\u96f6\uff09\uff0c\u8fd9\u6837\u65b9\u7a0b\u624d\u6709\u552f\u4e00\u89e3\u3002\u5982\u679c \\(A\\) \u4e0d\u662f\u65b9\u9635\uff0c\u9700\u8981 \\(A\\) \u7684\u79e9\u7b49\u4e8e\u5217\u6570\u4e14\u7b49\u4e8e\u589e\u5e7f\u77e9\u9635 \\(\\displaystyle [A|b]\\) \u7684\u79e9\uff0c\u8fd9\u6837\u65b9\u7a0b\u7ec4\u624d\u6709\u89e3\u3002</li> <li>\u9898\u76ee\uff1a\u9ad8\u65af\u5206\u5e03\u662f\u4ec0\u4e48\uff1f\u5b83\u7684\u4e00\u7ef4\u5f62\u5f0f\u662f\u4ec0\u4e48\u6837\u5b50\uff1f\u5b83\u7684\u9ad8\u7ef4\u5f62\u5f0f\u662f\u4ec0\u4e48\u6837\u5b50\uff1f</li> <li>\u7b54\u6848\uff1a\u9ad8\u65af\u5206\u5e03\uff0c\u4e5f\u79f0\u4e3a\u6b63\u6001\u5206\u5e03\uff0c\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002\u4e00\u7ef4\u9ad8\u65af\u5206\u5e03\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u4e3a \\(\\displaystyle f (x) = \\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}\\)\uff0c\u5176\u4e2d \\(\\displaystyle \\mu\\) \u662f\u5747\u503c\uff0c\\(\\displaystyle \\sigma\\) \u662f\u6807\u51c6\u5dee\u3002\u9ad8\u7ef4\u9ad8\u65af\u5206\u5e03\u662f\u4e00\u7ef4\u9ad8\u65af\u5206\u5e03\u5728\u591a\u7ef4\u7a7a\u95f4\u7684\u63a8\u5e7f\uff0c\u5176\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u4e3a \\(\\displaystyle N (\\mathbf{x}; \\mathbf{\\mu}, \\Sigma)\\)\uff0c\u5176\u4e2d \\(\\displaystyle \\mathbf{\\mu}\\) \u662f\u5747\u503c\u5411\u91cf\uff0c\\(\\displaystyle \\Sigma\\) \u662f\u534f\u65b9\u5dee\u77e9\u9635\u3002</li> <li>\u9898\u76ee\uff1a\u4f60\u77e5\u9053 C++11 \u6807\u51c6\u5417\uff1f\u4f60\u542c\u8bf4\u8fc7\u6216\u7528\u8fc7\u5176\u4e2d\u54ea\u4e9b\u65b0\u7279\u6027\uff1f\u6709\u6ca1\u6709\u5176\u4ed6\u7684\u6807\u51c6\uff1f</li> <li>\u7b54\u6848\uff1a\u662f\u7684\uff0cC++11 \u662f C++ \u8bed\u8a00\u7684\u4e00\u4e2a\u91cd\u8981\u6807\u51c6\uff0c\u5b83\u5f15\u5165\u4e86\u8bb8\u591a\u65b0\u7279\u6027\uff0c\u5982\u81ea\u52a8\u7c7b\u578b\u63a8\u5bfc\uff08auto\uff09\u3001\u57fa\u4e8e\u8303\u56f4\u7684 for \u5faa\u73af\u3001lambda \u8868\u8fbe\u5f0f\u3001\u667a\u80fd\u6307\u9488\u7b49\u3002\u9664\u4e86 C++11\uff0c\u8fd8\u6709 C++14\u3001C++17 \u548c C++20 \u7b49\u540e\u7eed\u6807\u51c6\uff0c\u5b83\u4eec\u4e5f\u5f15\u5165\u4e86\u65b0\u7684\u7279\u6027\u548c\u6539\u8fdb\u3002</li> <li>\u9898\u76ee\uff1a\u5982\u4f55\u5728 Ubuntu \u7cfb\u7edf\u4e2d\u5b89\u88c5\u8f6f\u4ef6\uff08\u4e0d\u6253\u5f00\u8f6f\u4ef6\u4e2d\u5fc3\u7684\u60c5\u51b5\u4e0b\uff09\uff1f\u8fd9\u4e9b\u8f6f\u4ef6\u88ab\u5b89\u88c5\u5728\u4ec0\u4e48\u5730\u65b9\uff1f\u5982\u679c\u53ea\u77e5\u9053\u6a21\u7cca\u7684\u8f6f\u4ef6\u540d\u79f0\uff08\u6bd4\u5982\u60f3\u8981\u88c5\u4e00\u4e2a\u540d\u79f0\u4e2d\u542b\u6709 Eigen \u7684\u5e93\uff09\uff0c\u5e94\u8be5\u5982\u4f55\u5b89\u88c5\u5b83\uff1f</li> <li>\u7b54\u6848\uff1a</li> <li>\u8f6f\u4ef6\u5b89\u88c5\uff1a\u5728 Ubuntu \u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u547d\u4ee4\u884c\u5de5\u5177 <code>apt</code> \u6765\u5b89\u88c5\u8f6f\u4ef6\u3002\u57fa\u672c\u547d\u4ee4\u4e3a <code>sudo apt install [package-name]</code>\u3002</li> <li>\u5b89\u88c5\u4f4d\u7f6e\uff1a\u8f6f\u4ef6\u901a\u5e38\u88ab\u5b89\u88c5\u5728 <code>/usr/</code> \u76ee\u5f55\u4e0b\uff0c\u4f46\u5177\u4f53\u7684\u6587\u4ef6\u53ef\u80fd\u5206\u5e03\u5728\u591a\u4e2a\u5b50\u76ee\u5f55\u4e2d\u3002</li> <li>\u6a21\u7cca\u540d\u79f0\u5b89\u88c5\uff1a\u5982\u679c\u53ea\u77e5\u9053\u8f6f\u4ef6\u540d\u79f0\u7684\u4e00\u90e8\u5206\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>apt search</code> \u547d\u4ee4\u6765\u641c\u7d22\u3002\u4f8b\u5982\uff0c<code>sudo apt search eigen</code> \u53ef\u4ee5\u5e2e\u52a9\u627e\u5230\u6240\u6709\u5305\u542b \"eigen\" \u7684\u8f6f\u4ef6\u5305\u3002</li> <li>\u9898\u76ee\uff1a*\u82b1\u4e00\u4e2a\u5c0f\u65f6\u5b66\u4e60 Vim\uff0c\u56e0\u4e3a\u4f60\u8fdf\u65e9\u4f1a\u7528\u5b83\u3002\u4f60\u53ef\u4ee5\u5728\u7ec8\u7aef\u4e2d\u8f93\u5165 vimtutor \u9605\u8bfb\u4e00\u904d\u6240\u6709\u5185\u5bb9\u3002\u6211\u4eec\u4e0d\u9700\u8981\u4f60\u975e\u5e38\u719f\u7ec3\u5730\u64cd\u4f5c\u5b83\uff0c\u53ea\u8981\u80fd\u591f\u5728\u5b66\u4e60\u672c\u4e66\u7684\u8fc7\u7a0b\u4e2d\u4f7f\u7528\u5b83\u8f93\u5165\u4ee3\u7801\u5373\u53ef\u3002\u4e0d\u8981\u5728\u5b83\u7684\u63d2\u4ef6\u4e0a\u6d6a\u8d39\u65f6\u95f4\uff0c\u4e0d\u8981\u60f3\u7740\u628a Vim \u7528\u6210 IDE\uff0c\u6211\u4eec\u53ea\u7528\u5b83\u505a\u6587\u672c\u7f16\u8f91\u7684\u5de5\u4f5c\u3002</li> <li>\u7b54\u6848:<ul> <li>vim \u6839\u672c\u4e0d\u719f\u7ec3\u634f</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#2-slam","title":"2 \u521d\u8bc6 SLAM","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#21","title":"2.1 \u5f15\u5b50: \u5c0f\u841d\u535c\u7684\u4f8b\u5b50","text":"<ul> <li>\u81ea\u4e3b\u8fd0\u52a8\u80fd\u529b</li> <li>\u611f\u77e5\u5468\u8fb9\u73af\u5883<ul> <li>\u72b6\u6001</li> <li>\u73af\u5883</li> </ul> </li> <li>\u5b89\u88c5\u4e8e\u73af\u5883\u4e2d\uff08\u4e0d\u592a\u597d\u53cd\u6b63\uff09</li> <li>\u673a\u5668\u4eba\u672c\u4f53\u4e0a<ul> <li>\u6fc0\u5149 SLAM</li> <li>\u89c6\u89c9 SLAM\uff08\u672c\u4e66\u91cd\u70b9\uff09<ul> <li>\u5355\u76ee\uff08Monocular\uff09<ul> <li>\u53ea\u80fd\u7528\u4e00\u4e2a\u6444\u50cf\u5934</li> <li>\u8ddd\u79bb\u611f<ul> <li>motion</li> <li>Structure</li> <li>Disparity</li> <li>Scale<ul> <li>Scale Ambiguity</li> </ul> </li> <li>\u4f46\u662f\u65e0\u6cd5\u786e\u5b9a\u6df1\u5ea6</li> </ul> </li> </ul> </li> <li>\u53cc\u76ee\uff08Sterco\uff09<ul> <li>\u4e24\u4e2a\u76f8\u673a\u7684\u8ddd\u79bb\uff08\u57fa\u7ebf Baseline\uff09\u5df2\u77e5</li> <li>\u914d\u7f6e\u4e0e\u6807\u5b9a\u6bd4\u8f83\u590d\u6742</li> </ul> </li> <li>\u6df1\u5ea6\uff08RGB-D\uff09<ul> <li>\u7ea2\u5916\u7ed3\u6784\u5173 Time-of-Flight\uff08ToF\uff09</li> <li>\u4e3b\u8981\u7528\u5728\u5ba4\u5185\uff0c\u5ba4\u5916\u4f1a\u6709\u5f88\u591a\u5f71\u54cd</li> </ul> </li> <li>\u8fd8\u6709\u4e00\u4e9b\u975e\u4e3b\u6d41\u7684: \u5168\u666f\uff0cEvent</li> </ul> </li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#22-slam","title":"2.2 \u7ecf\u5178\u89c6\u89c9 SLAM \u6846\u67b6","text":"<ul> <li>\u5728\u5916\u754c\u6362\u51e0\u4e2a\u6bd4\u8f83\u7a33\u5b9a\u7684\u60c5\u51b5\u4e0b\uff0cSLAM \u6280\u672f\u5df2\u7ecf\u6bd4\u8f83\u6210\u719f</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#221","title":"2.2.1 \u89c6\u89c9\u91cc\u7a0b\u8ba1","text":"<ul> <li>\u53ea\u901a\u8fc7\u89c6\u89c9\u91cc\u7a0b\u8ba1\u6765\u4f30\u8ba1\u8f68\u8ff9\u4f1a\u51fa\u73b0\u7d2f\u79ef\u6f02\u79fb\uff08Accumulating Drift\uff09\u3002</li> <li>\u6240\u4ee5\u9700\u8981\u56de\u73af\u68c0\u6d4b\u4e0e\u540e\u7aef\u4f18\u5316</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#222","title":"2.2.2 \u540e\u7aef\u4f18\u5316","text":"<ul> <li>\u6700\u5927\u540e\u9a8c\u6982\u7387\u4f30\u8ba1\uff08Maximum-a-Posteriori MAP\uff09</li> <li>\u524d\u7aef<ul> <li>\u56fe\u50cf\u7684\u7279\u5f81\u63d0\u53d6\u4e0e\u5339\u914d</li> </ul> </li> <li>\u540e\u7aef<ul> <li>\u6ee4\u6ce2\u4e0e\u975e\u7ebf\u6027\u7b97\u6cd5</li> </ul> </li> <li>\u5bf9\u8fd0\u52a8\u4e3b\u4f53\u81ea\u8eab\u548c\u5468\u56f4\u73af\u5883\u7a7a\u95f4\u4e0d\u786e\u5b9a\u6027\u7684\u4f30\u8ba1</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#223","title":"2.2.3 \u56de\u73af\u68c0\u6d4b","text":"<ul> <li>\u95ed\u73af\u68c0\u6d4b</li> <li>\u8bc6\u522b\u5230\u8fc7\u7684\u573a\u666f</li> <li>\u5229\u7528\u56fe\u50cf\u7684\u76f8\u4f3c\u6027</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#224","title":"2.2.4 \u5efa\u56fe","text":"<ul> <li>\u5ea6\u91cf\u5730\u56fe<ul> <li>Sparse<ul> <li>Landmark</li> <li>\u5b9a\u4f4d\u7528</li> </ul> </li> <li>Dense<ul> <li>Grid / Vocel</li> <li>\u5bfc\u822a\u7528</li> </ul> </li> </ul> </li> <li>\u62d3\u6251\u5730\u56fe     Graph</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#23-slam","title":"2.3 SLAM \u95ee\u9898\u7684\u6570\u5b66\u8868\u8ff0","text":"<ul> <li>\u8fd0\u52a8\u65b9\u7a0b<ul> <li>\\(\\displaystyle \\quad\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k,\\boldsymbol{w}_k\\right).\\)<ul> <li>\\(\\displaystyle \\boldsymbol{u}_{k}\\) \u662f\u8fd0\u52a8\u4f20\u611f\u5668\u7684\u8f93\u5165</li> <li>\\(\\displaystyle \\boldsymbol{w}_{k}\\) \u662f\u8fc7\u7a0b\u4e2d\u52a0\u5165\u7684\u566a\u58f0</li> </ul> </li> </ul> </li> <li>\u89c2\u6d4b\u65b9\u7a0b<ul> <li>\\(\\displaystyle \\boldsymbol{z}_{k,j} = h (\\boldsymbol{y}_{j},\\boldsymbol{x}_{k},\\boldsymbol{v}_{k,j})\\)<ul> <li>\\(\\displaystyle \\boldsymbol{v}_{k,j}\\) \u662f\u89c2\u6d4b\u91cc\u7684\u566a\u58f0</li> </ul> </li> </ul> </li> <li>\u53c8\u5f88\u591a\u53c2\u6570\u5316\u7684\u65b9\u5f0f</li> <li>\u53ef\u4ee5\u603b\u7ed3\u4e3a\u5982\u4e0b\u4e24\u4e2a\u65b9\u7a0b</li> </ul> \\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k,\\boldsymbol{w}_k\\right),&amp;k=1,\\cdots,K\\\\\\boldsymbol{z}_{k,j}=h\\left(\\boldsymbol{y}_j,\\boldsymbol{x}_k,\\boldsymbol{v}_{k,j}\\right),&amp;(k,j)\\in\\mathcal{O}\\end{cases}. \\] <ul> <li>\u77e5\u9053\u8fd0\u52a8\u6d4b\u91cf\u7684\u8bfb\u6570 \\(\\displaystyle \\boldsymbol{u}\\) \u548c\u4f20\u611f\u5668\u7684\u8bfb\u6570 \\(\\displaystyle \\boldsymbol{z}\\)\uff0c\u5982\u4f55\u6c42\u89e3\u5b9a\u4f4d\u95ee\u9898\u548c\u5efa\u56fe\u95ee\u9898\u3002<ul> <li>\u72b6\u6001\u4f30\u8ba1\u95ee\u9898: \u5982\u4f55\u901a\u8fc7\u5e26\u6709\u566a\u58f0\u7684\u6d4b\u91cf\u6570\u636e\uff0c\u4f30\u8ba1\u5185\u90e8\u7684\u3001\u9690\u85cf\u7740\u7684\u72b6\u6001\u53d8\u91cf</li> </ul> </li> <li>Linear Gaussian -&gt; Kalman Filter</li> <li>Non-Linear Non-Gaussian -&gt; Extended Kalman Filter \u548c\u975e\u7ebf\u6027\u4f18\u5316</li> <li>EKF -&gt; Particle Filter -&gt; Graph Optimization</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#24","title":"2.4 \u5b9e\u8df5: \u7f16\u7a0b\u57fa\u7840","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#241-linux","title":"2.4.1 \u5b89\u88c5 Linux \u64cd\u4f5c\u7cfb\u7edf","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#242-hello-slam","title":"2.4.2 Hello SLAM","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#243-cmake","title":"2.4.3 \u4f7f\u7528 cmake","text":"Text Only<pre><code>cmake_minimum_required( VERSION 2.8)\n\nproject(HelloSLAM)\n\nadd_executable(helloSLAM helloSLAM.cpp)\n</code></pre> <p>\u5bf9\u4e2d\u95f4\u6587\u4ef6\u7684\u5904\u7406:</p> Text Only<pre><code>mkdir build\ncd build\ncmake ..\nmake\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#244","title":"2.4.4 \u4f7f\u7528\u5e93","text":"Text Only<pre><code>add_library(hello libHelloSLAM.cpp)\n</code></pre> <ul> <li>\u9759\u6001\u5e93<ul> <li>.a \u4f5c\u4e3a\u540e\u7f00\u540d\uff0c\u6bcf\u6b21\u8c03\u7528\u90fd\u6709\u4e00\u4e2a\u526f\u672c</li> </ul> </li> <li>\u5171\u4eab\u5e93<ul> <li>.so\uff0c\u53ea\u6709\u4e00\u4e2a\u526f\u672c</li> </ul> </li> </ul> Text Only<pre><code>add_library(hello_shared SHARED libHelloSLAM.cpp)\n</code></pre> <ul> <li>\u8fd8\u8981\u4e00\u4e2a\u5934\u6587\u4ef6\u6765\u8bf4\u660e\u5e93\u91cc\u90fd\u6709\u4ec0\u4e48</li> </ul> Text Only<pre><code>#ifndef LIBHELLOSLAM_H_\n#define LIBHELLOSLAM_H_\n\nvoid printHello()\n\n#endif\n</code></pre> <ul> <li>\u6700\u540e\u5199\u4e00\u4e2a\u53ef\u6267\u884c\u7a0b\u5e8f:</li> </ul> C++<pre><code>#include \"libHelloSLAM.h\"\n\nint main(int argc, char **argv) {\n    printHello();\n    return 0;   \n}\n</code></pre> <ul> <li>\u5728 CMakeLists. txt \u4e2d\u6dfb\u52a0\u53ef\u6267\u884c\u547d\u4ee4\u7684\u751f\u6210\u547d\u4ee4\uff0c\u94fe\u63a5\u5230\u5e93\u4e0a:</li> </ul> Text Only<pre><code>add_executable(useHello useHello.cpp)\ntarget_link_libraries(useHello hello_shared)\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#245-ide","title":"2.4.5 \u4f7f\u7528 IDE","text":"<ul> <li>KDevelop</li> <li>Clion</li> <li>\u8fd8\u6ca1\u5199</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#3","title":"3 \u4e09\u7ef4\u7a7a\u95f4\u521a\u4f53\u8fd0\u52a8","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#31","title":"3.1 \u65cb\u8f6c\u77e9\u9635","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#311","title":"3.1.1 \u70b9\u3001\u5411\u91cf\u548c\u5750\u6807\u7cfb","text":"<ul> <li>Skew-symmetric Matrix</li> </ul> \\[ a\\times b =  \\begin{Vmatrix}e_1&amp;e_2&amp;e_3\\\\ \\\\ a_1&amp;a_2&amp;a_3\\\\ \\\\ b_1&amp;b_2&amp;b_3 \\\\ \\end{Vmatrix} = \\begin{bmatrix} a_2b_3-a_3b_2\\\\ \\\\ a_3b_1-a_1b_3\\\\ \\\\ a_1b_2-a_2b_1  \\end{bmatrix} = \\begin{bmatrix}  0&amp;-a_3&amp;a_2\\\\ \\\\ a_3&amp;0&amp;-a_1\\\\ \\\\ -a_2&amp;a_1&amp;0  \\end{bmatrix} \\boldsymbol{b}\\overset{\\mathrm{def}}{\\operatorname*{=}}\\boldsymbol{a}^{\\wedge}\\boldsymbol{b}. \\] <ul> <li>\u4e8e\u662f\u5c31\u628a\u5916\u79ef\u53d8\u6210\u4e86\u7ebf\u6027\u8fd0\u7b97</li> <li>\u5373</li> </ul> \\[ \\displaystyle \\boldsymbol{a}^{\\wedge}=\\begin{bmatrix} 0  &amp; -a_{3}  &amp; a_{2} \\\\ a_{3} &amp; 0 &amp; -a_{1} \\\\ -a_{2} &amp; a_{1} &amp; 0 \\end{bmatrix} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#312","title":"3.1.2 \u5750\u6807\u7cfb\u95f4\u7684\u6b27\u5f0f\u53d8\u6362","text":"<ul> <li>Euclidean Transform</li> </ul> \\[ \\begin{bmatrix}a_1\\\\ \\\\ a_2\\\\\\\\a_3\\end{bmatrix}=\\begin{bmatrix}e_1^\\mathrm{T}e_1^{\\prime}&amp;e_1^\\mathrm{T}e_2^{\\prime}&amp;e_1^\\mathrm{T}e_3^{\\prime}\\\\e_2^\\mathrm{T}e_1^{\\prime}&amp;e_2^\\mathrm{T}e_2^{\\prime}&amp;e_2^\\mathrm{T}e_3^{\\prime}\\\\e_3^\\mathrm{T}e_1^{\\prime}&amp;e_3^\\mathrm{T}e_2^{\\prime}&amp;e_3^\\mathrm{T}e_3^{\\prime}\\end{bmatrix}\\begin{bmatrix}a_1^{\\prime}\\\\\\\\a_2^{\\prime}\\\\\\\\a_3^{\\prime}\\end{bmatrix}\\stackrel{\\mathrm{def}}{=}Ra^{\\prime} \\] <ul> <li>\\(\\displaystyle \\boldsymbol{R}\\) \u662f\u65cb\u8f6c\u77e9\u9635\u3001\u65b9\u5411\u4f59\u5f26\u77e9\u9635</li> <li>Special Orthogonal Group \\(\\displaystyle \\mathrm{SO}(n)=\\{\\boldsymbol{R}\\in \\mathbb{R}^{n \\times n}|\\boldsymbol{R}\\boldsymbol{R}^{\\mathrm{T}}=\\boldsymbol{I},\\det(\\boldsymbol{R})=1\\}\\)</li> <li>\\(\\displaystyle a^{\\prime}=R^{-1}a=R^{\\intercal}a.\\)</li> <li>\u65cb\u8f6c+\u5e73\u79fb: \\(\\displaystyle a^{\\prime}=Ra+t.\\)</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#313","title":"3.1.3 \u53d8\u6362\u77e9\u9635\u4e0e\u9f50\u6b21\u5750\u6807","text":"<ul> <li>\u4f46\u662f\u8fd9\u91cc\u7684\u53d8\u6362\u5173\u7cfb\u4e0d\u662f\u4e00\u4e2a\u7ebf\u6027\u5173\u7cfb</li> <li>\\(\\displaystyle c=R_2\\left(R_1a+t_1\\right)+t_2\\)</li> <li>\u6211\u4eec\u6539\u5199\u4e00\u4e0b\u5f62\u5f0f:<ul> <li>\\(\\displaystyle \\begin{bmatrix}a'\\\\\\\\1\\end{bmatrix}=\\begin{bmatrix}R&amp;t\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\begin{bmatrix}a\\\\\\\\1\\end{bmatrix}\\overset{\\mathrm{def}}{=}T\\begin{bmatrix}a\\\\\\\\1\\end{bmatrix}\\)</li> <li>\u8fd9\u5c31\u662f\u9f50\u6b21\u5750\u6807\uff0c\\(\\displaystyle \\boldsymbol{T}\\) \u79f0\u4e3a\u53d8\u6362\u77e9\u9635\uff08Transform matrix\uff09</li> </ul> </li> <li>\\(\\displaystyle \\tilde{b}=T_1\\tilde{\\boldsymbol{a}}, \\tilde{\\boldsymbol{c}}=T_2\\tilde{\\boldsymbol{b}}\\quad\\Rightarrow\\tilde{\\boldsymbol{c}}=T_2T_1\\tilde{\\boldsymbol{a}}.\\)</li> <li>\u5e76\u4e14 \\(\\displaystyle \\boldsymbol{T}\\) \u79f0\u4e3a\u7279\u6b8a\u6b27\u5f0f\u7fa4\uff08Special Euclidean Group\uff09<ul> <li>\\(\\displaystyle \\mathrm{SE}(3)=\\left\\{T=\\begin{bmatrix}R&amp;t\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}|\\boldsymbol{R}\\in\\mathrm{SO}(3),\\boldsymbol{t}\\in\\mathbb{R}^3\\right\\}\\)</li> </ul> </li> <li>\\(\\displaystyle T^{-1}=\\begin{bmatrix}R^\\mathrm{T}&amp;-R^\\mathrm{T}t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}\\)</li> <li>\u5728 C++\u7a0b\u5e8f\u4e2d\u53ef\u4ee5\u4f7f\u7528\u8fd0\u7b97\u7b26\u91cd\u8f7d\u6765\u5904\u7406\u9f50\u6b21\u548c\u975e\u9f50\u6b21\u7684\u60c5\u51b5</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#32-eigen","title":"3.2 \u5b9e\u8df5:Eigen","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#include &lt;ctime&gt;\n\n#include &lt;eigen3&gt;\nusing namespace Eigen;\n\n#define MATRIX_SIZE 50\n\nint main(int argc, char **argv) {\n    Matrix&lt;float, 2, 3&gt; matrix_23;\n// \u5982\u4e0b\u90fd\u662f\u4e09\u7ef4\u5411\u91cf\n    Vector3d v_3d;\n    Matrix&lt;float, 3, 1&gt; vd_3d;\n// \u5982\u4e0b\u662f3*3\u77e9\u9635\n    Matrix3d matrix_33 = Matrix3d::Zero();\n// \u4e24\u4e2a\u52a8\u6001\u5206\u914d\n    Matrix&lt;double, Dynamic, Dynamic&gt; matrix_dynamic;\n    MatrixXd matrix_x;\n\n    matrix_23 &lt;&lt; 1, 2, 3, 4, 5, 6;\n    cout&lt;&lt; \"matrix 2*3 from 1 to 6: \\n\" &lt;&lt; matrix_23 &lt;&lt; endl;\n\n    cout &lt;&lt; \"print matrix 2*3:\" &lt;&lt; endl;\n    for (int i = 0; i &lt; 2; i++) {\n        for (int j = 0; j &lt; 3; j+) cout &lt;&lt; matrix_23(i, j) &lt;&lt; \"\\t\";\n        cout &lt;&lt; endl;\n    }\n\n    v_3d &lt;&lt; 3, 2, 1;\n    vd_3d &lt;&lt; 4, 5, 6;\n\n    Matrix&lt;double, 2, 1&gt; result = matrix_23.cast&lt;double&gt;() * v_3d;\n    cout &lt;&lt; \"[1, 2, 3; 4, 5, 6] * [3, 2, 1] =\" &lt;&lt; result.transpose() &lt;&lt; endl;\n\n    matrix_22 = Matrix3d::Random();\n\n    // \u4e00\u4e9b\u77e9\u9635\u7684\u64cd\u4f5c:\n    // transpose()\n    // sum()\n    // trace()\n    // inverse()\n    // determinant()\n\n    SelfAdjointEigenSolver&lt;Matrix3d&gt; eigen_solver(matrix_33.transpose() * matrix_33);\n    cout &lt;&lt; eigen_solver.eigenvalues() &lt;&lt; endl;\n    cout &lt;&lt; eigen_solver.eigenvectors() &lt;&lt; endl;\n\n    // solve the equation\n    Matrix&lt;double, MATRIX_SIZE, MATRIX_SIZE&gt; matrix_NN = MatrixXd::Random(MATRIX_SIZE, MATRIX_SIZE);\n    matrix_NN = matrix_NN * matrix_NN.transpose()\n    Matrix&lt;double, MATRIX_SIZE, 1&gt; v_Nd = MatrixXd::random(MATRIX_SIZE, 1);\n\n    // \u7b2c\u4e00\u79cd:\u76f4\u63a5\u6c42\u9006\n    Matrix&lt;double, MATRIX_SIZE, 1&gt; x = matrix_NN.inverse() * v_Nd;\n\n    // \u7b2c\u4e8c\u79cd:\u77e9\u9635\u5206\u89e3\n    x = matrix_NN.colPivHouseholderQr().solve(v_Nd);\n\n}\n</code></pre> <ul> <li>Eigen \u4e0d\u652f\u6301\u81ea\u52a8\u7c7b\u578b\u63d0\u5347\uff0c\u5373\u4e0d\u4f1a\u9690\u5f0f\u8f6c\u6362</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#33","title":"3.3 \u65cb\u8f6c\u5411\u91cf\u548c\u6b27\u62c9\u89d2","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#331","title":"3.3.1 \u65cb\u8f6c\u5411\u91cf","text":"<ul> <li>Axis-Angle</li> <li>Rodrigues's Formula<ul> <li>\\(\\displaystyle \\boldsymbol{R}=\\cos\\theta\\boldsymbol{I}+\\left(1-\\cos\\theta\\right)\\boldsymbol{n}\\boldsymbol{n}^\\mathrm{T}+\\sin\\theta\\boldsymbol{n}^\\mathrm{\\wedge}.\\)</li> </ul> </li> </ul> \\[ \\begin{aligned} \\mathrm{tr}\\left(R\\right)&amp; =\\cos\\theta\\operatorname{tr}\\left(\\boldsymbol{I}\\right)+\\left(1-\\cos\\theta\\right)\\operatorname{tr}\\left(\\boldsymbol{n}\\boldsymbol{n}^\\mathrm{T}\\right)+\\sin\\theta\\operatorname{tr}(\\boldsymbol{n}^\\mathrm{\\Lambda}) \\\\ &amp;=3\\cos\\theta+(1-\\cos\\theta) \\\\ &amp;=1+2\\cos\\theta  \\end{aligned} \\] <p>thus:</p> \\[ \\theta=\\arccos\\frac{\\mathrm{tr}(R)-1}{2}. \\] \\[ Rn=n. \\] <ul> <li>\u5373 \\(\\displaystyle \\boldsymbol{n}\\) \u662f\u77e9\u9635 \\(\\displaystyle \\boldsymbol{R}\\) \u7279\u5f81\u503c 1 \u5bf9\u5e94\u7684\u7279\u8bca\u5411\u91cf</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#332","title":"3.3.2 \u6b27\u62c9\u89d2","text":"<ul> <li>\u6bd4\u8f83\u5e38\u7528\u7684\u4e00\u79cd yaw-pitch-roll<ul> <li>ZYX</li> </ul> </li> <li>\u4f46\u4f1a\u6709 Gimbal Lock \u95ee\u9898<ul> <li>\u6240\u4ee5\u6b27\u62c9\u89d2\u6bd4\u8f83\u9002\u5408\u7528\u4e8e\u5feb\u901f\u68c0\u9a8c\u7ed3\u679c\u662f\u5426\u6709\u9519</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#34","title":"3.4 \u56db\u5143\u6570","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#341","title":"3.4.1 \u56db\u5143\u6570\u7684\u5b9a\u4e49","text":"<ul> <li>\u6211\u4eec\u627e\u4e0d\u5230\u4e0d\u5e26\u5947\u5f02\u6027\u7684\u4e09\u4f4d\u5411\u91cf\u63cf\u8ff0\u65b9\u5f0f<ul> <li>\u627e\u4e0d\u5230\u4e00\u4e2a\u6d41\u5f62\uff1f</li> </ul> </li> <li>Quaternion<ul> <li>\u7d27\u51d1\u53c8\u6ca1\u6709\u5947\u5f02\u6027</li> <li>\u53ea\u662f\u4e0d\u591f\u76f4\u89c2+\u8fd0\u7b97\u590d\u6742</li> </ul> </li> <li>\\(\\displaystyle q=q_0+q_1\\mathrm{i}+\\mathrm{q}_2\\mathrm{j}+\\mathrm{q}_3\\mathrm{k}\\)</li> </ul> \\[ \\begin{cases}\\mathbf{i}^2=\\mathbf{j}^2=\\mathbf{k}^2=-1\\\\\\mathbf{ij}=\\mathbf{k},\\mathbf{ji}=-\\mathbf{k}\\\\\\mathbf{jk}=\\mathbf{i},\\mathbf{kj}=-\\mathbf{i}\\\\\\mathbf{ki}=\\mathbf{j},\\mathbf{ik}=-\\mathbf{j}\\end{cases} \\] <ul> <li>(\u4e5f\u8bb8\u53ef\u4ee5\u7528\u5ea6\u89c4\u6765\u8868\u793a\uff1f)</li> <li>\\(\\displaystyle \\boldsymbol{q}=\\left[s,\\boldsymbol{v}\\right]^\\mathrm{T},\\quad s=q_0\\in\\mathbb{R},\\quad\\boldsymbol{v}=\\left[q_1,q_2,q_3\\right]^\\mathrm{T}\\in\\mathbb{R}^3.\\)</li> <li>\u4e66\u4e0a\u6ca1\u5199\u76f4\u89c2\u7684\u51e0\u4f55\u5bf9\u5e94</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#342","title":"3.4.2 \u56db\u5143\u6570\u7684\u8fd0\u7b97","text":"<ul> <li>\u4e58\u6cd5: \\(\\displaystyle \\boldsymbol{q}_a\\boldsymbol{q}_b=\\begin{bmatrix}s_as_b-\\boldsymbol{v}_a^\\mathrm{T}\\boldsymbol{v}_b,s_a\\boldsymbol{v}_b+s_b\\boldsymbol{v}_a+\\boldsymbol{v}_a\\times\\boldsymbol{v}_b\\end{bmatrix}^\\mathrm{T}.\\)<ul> <li>\u7531\u4e8e\u6700\u540e\u4e00\u9879\u7684\u5b58\u5728\uff0c\u4e58\u6cd5\u4e0d\u5177\u6709\u4ea4\u6362\u5f8b</li> </ul> </li> <li>\u5171\u8f6d: \\(\\displaystyle q_a^*=s_a-x_a\\mathrm{i}-\\mathrm{y_aj}-\\mathrm{z_ak}=[\\mathrm{s_a},-\\mathrm{v_a}]^\\mathrm{T}.\\)<ul> <li>\\(\\displaystyle q^*q=qq^*=[s_a^2+\\boldsymbol{v}^\\mathrm{T}\\boldsymbol{v},\\boldsymbol{0}]^\\mathrm{T}.\\)</li> </ul> </li> <li>\u9006: \\(\\displaystyle q^{-1}=q^*/\\|q\\|^2.\\)<ul> <li>\\(\\displaystyle (\\boldsymbol{q}_a\\boldsymbol{q}_b)^{-1}=\\boldsymbol{q}_b^{-1}\\boldsymbol{q}_a^{-1}.\\)</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#343","title":"3.4.3 \u7528\u56db\u5143\u6570\u8868\u793a\u65cb\u8f6c","text":"<ul> <li>\u5148\u8868\u793a\u4e09\u7ef4\u7a7a\u95f4\u70b9:<ul> <li>\\(\\displaystyle p=[0,x,y,z]^{\\mathrm{T}}=[0,\\boldsymbol{v}]^{\\mathrm{T}}.\\)</li> </ul> </li> <li>\u518d\u65cb\u8f6c:<ul> <li>\\(\\displaystyle p'=qpq^{-1}.\\)</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#344","title":"3.4.4 \u56db\u5143\u6570\u5230\u5176\u4ed6\u65cb\u8f6c\u8868\u793a\u7684\u8f6c\u6362","text":"<ul> <li>\u8bbe \\(\\displaystyle \\boldsymbol{q} = [s,\\boldsymbol{v}]^\\mathrm{T}\\)<ul> <li>\\(\\displaystyle \\boldsymbol{q}^+=\\begin{bmatrix}s&amp;-\\boldsymbol{v}^\\mathrm{T}\\\\\\\\\\boldsymbol{v}&amp;s\\boldsymbol{I}+\\boldsymbol{v}^\\wedge\\end{bmatrix},\\quad\\boldsymbol{q}^\\oplus=\\begin{bmatrix}s&amp;-\\boldsymbol{v}^\\mathrm{T}\\\\\\\\\\boldsymbol{v}&amp;s\\boldsymbol{I}-\\boldsymbol{v}^\\wedge\\end{bmatrix}.\\)</li> <li>\\(\\displaystyle q_1^+q_2=\\begin{bmatrix}s_1&amp;-\\boldsymbol{v}_1^\\mathrm{T}\\\\\\\\\\boldsymbol{v}_1&amp;s_1\\boldsymbol{I}+\\boldsymbol{v}_1^\\wedge\\end{bmatrix}\\begin{bmatrix}s_2\\\\\\\\\\boldsymbol{v}_2\\end{bmatrix}=\\begin{bmatrix}-\\boldsymbol{v}_1^\\mathrm{T}\\boldsymbol{v}_2+s_1s_2\\\\\\\\s_1\\boldsymbol{v}_2+s_2\\boldsymbol{v}_1+\\boldsymbol{v}_1^\\wedge\\boldsymbol{v}_2\\end{bmatrix}=\\boldsymbol{q}_1\\boldsymbol{q}_2.\\)</li> <li>\u540c\u7406\u53ef\u8bc1:<ul> <li>\\(\\displaystyle q_1q_2=q_1^+q_2=q_2^\\oplus q_1.\\)</li> </ul> </li> </ul> </li> <li>\u518d\u6765\u8003\u8651\u65cb\u8f6c:<ul> <li>\\(\\displaystyle \\begin{aligned}p^{\\prime}&amp;=qpq^{-1}=q^{+}p^{+}q^{-1}\\\\&amp;=q^{+}q^{-1^{\\oplus}}p.\\end{aligned}\\)</li> <li>\u4e8e\u662f\u53ef\u4ee5\u5f97\u5230:<ul> <li>\\(\\displaystyle \\boldsymbol{q}^{+}\\big(\\boldsymbol{q}^{-1}\\big)^{\\oplus}=\\begin{bmatrix}s&amp;-\\boldsymbol{v}^{\\mathrm{T}}\\\\\\boldsymbol{v}&amp;s\\boldsymbol{I}+\\boldsymbol{v}^{\\wedge}\\end{bmatrix}\\begin{bmatrix}s&amp;\\boldsymbol{v}^{\\mathrm{T}}\\\\-\\boldsymbol{v}&amp;s\\boldsymbol{I}+\\boldsymbol{v}^{\\wedge}\\end{bmatrix}=\\begin{bmatrix}1&amp;\\boldsymbol{0}\\\\\\boldsymbol{0}^{\\mathrm{T}}&amp;\\boldsymbol{v}\\boldsymbol{v}^{\\mathrm{T}}+s^{2}\\boldsymbol{I}+2s\\boldsymbol{v}^{\\wedge}+\\left(\\boldsymbol{v}^{\\wedge}\\right)^{2}\\end{bmatrix}.\\)</li> <li>\u5373: \\(\\displaystyle R=\\boldsymbol{v}\\boldsymbol{v}^\\mathrm{T}+s^2\\boldsymbol{I}+2s\\boldsymbol{v}^\\wedge+\\left(\\boldsymbol{v}^\\wedge\\right)^2.\\)</li> </ul> </li> </ul> </li> </ul> \\[ \\begin{aligned} \\operatorname{tr}(R)&amp; =\\mathbf{tr}(\\boldsymbol{vv}^\\mathrm{T}+3s^2+2s\\cdot0+\\mathbf{tr}((\\boldsymbol{v}^\\wedge)^2) \\\\ &amp;=v_{1}^{2}+v_{2}^{2}+v_{3}^{2}+3s^{2}-2(v_{1}^{2}+v_{2}^{2}+v_{3}^{2}) \\\\ &amp;=(1-s^2)+3s^2-2(1-s^2) \\\\ &amp;=4s^2-1. \\end{aligned} \\] <ul> <li>\u5373 \\(\\displaystyle \\theta=2\\arccos s.\\)</li> <li>\u518d\u52a0\u4e0a\u65cb\u8f6c\u8f74:</li> </ul> \\[ \\begin{cases}\\theta=2\\arccos q_0\\\\ [n_x,n_y,n_z]^\\mathrm{T}=[q_1,q_2,q_3]^\\mathrm{T}/\\sin\\frac{\\theta}{2}\\end{cases}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#35","title":"3.5 \u76f8\u4f3c\u3001\u4eff\u5c04\u3001\u5c04\u5f71\u53d8\u6362","text":"<ol> <li>\u76f8\u4f3c\u53d8\u6362:</li> </ol> \\[ \\boldsymbol{T}_S=\\begin{bmatrix}s\\boldsymbol{R}&amp;t\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}. \\] <p>\u5141\u8bb8\u7f29\u653e\uff0c\u76f8\u4f3c\u53d8\u6362\u7fa4: Sim (3) 2. \u4eff\u5c04\u53d8\u6362:</p> \\[ T_A=\\begin{bmatrix}A&amp;t\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}. \\] <p>\u53ea\u4fdd\u8bc1\u5e73\u884c\u5173\u7cfb 3. \u5c04\u5f71\u53d8\u6362</p> \\[ T_P=\\begin{bmatrix}A&amp;t\\\\\\\\a^\\mathrm{T}&amp;v\\end{bmatrix}. \\] <p>\u603b\u7ed3\u4e00\u4e0b:</p> \\[ \\begin{array}{c|c|c|c}\\hline\\text{\u53d8\u6362\u540d\u79f0}&amp;\\text{\u77e9\u9635\u5f62\u5f0f}&amp;\\text{\u81ea\u7531\u5ea6}&amp;\\text{\u4e0d\u53d8\u6027\u8d28}\\\\\\hline\\text{\u6b27\u6c0f\u53d8\u6362}&amp;\\begin{bmatrix}R&amp;t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}&amp;6&amp;\\text{\u957f\u5ea6\u3001\u5939\u89d2\u3001\u4f53\u79ef}\\\\\\text{\u76f8\u4f3c\u53d8\u6362}&amp;\\begin{bmatrix}sR&amp;t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}&amp;7&amp;\\text{\u4f53\u79ef\u6bd4}\\\\\\text{\u4eff\u5c04\u53d8\u6362}&amp;\\begin{bmatrix}A&amp;t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}&amp;12&amp;\\text{\u5e73\u884c\u6027\u3001\u4f53\u79ef\u6bd4}\\\\\\text{\u5c04\u5f71\u53d8\u6362}&amp;\\begin{bmatrix}A&amp;t\\\\a^\\mathrm{T}&amp;v\\end{bmatrix}&amp;15&amp;\\text{\u63a5\u89e6\u5e73\u9762\u7684\u76f8\u4ea4\u548c\u76f8\u5207}\\\\\\hline\\end{array} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#36-eigen","title":"3.6 \u5b9e\u8df5: Eigen \u51e0\u4f55\u6a21\u5757","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#361-eigen","title":"3.6.1 Eigen \u51e0\u4f55\u6a21\u5757\u7684\u6570\u636e\u6f14\u793a","text":"<p>\u518d\u8bf4\u5427\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#362","title":"3.6.2 \u5b9e\u9645\u7684\u5750\u6807\u53d8\u6362\u4f8b\u5b50","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#37","title":"3.7 \u53ef\u89c6\u5316\u6f14\u793a","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#371","title":"3.7.1 \u663e\u793a\u8fd0\u52a8\u8f68\u8ff9","text":"<ul> <li>\u7528 Pangolin \u5e93</li> <li>TODO</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#372","title":"3.7.2 \u663e\u793a\u76f8\u673a\u7684\u4f4d\u59ff","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#38","title":"3.8 \u4e60\u9898","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#4","title":"4 \u674e\u7fa4\u548c\u674e\u4ee3\u6570","text":"<ul> <li>\u7531\u4e8e\u65cb\u8f6c\u77e9\u9635\u672c\u8eab\u5e26\u6709\u7ea6\u675f\uff08\u6b63\u4ea4\u4e14\u884c\u5217\u5f0f\u4e3a 1\uff09\uff0c\u8ba9\u4f18\u5316\u53d8\u5f97\u56f0\u96be\u3002</li> <li>\u6240\u4ee5\u6211\u4eec\u5f15\u5165\u674e\u7fa4-\u674e\u4ee3\u6570\u95f4\u7684\u8f6c\u6362\u5173\u7cfb\uff0c\u628a\u4f4d\u59ff\u4f30\u8ba1\u53d8\u6210\u65e0\u7ea6\u675f\u7684\u4f18\u5316\u95ee\u9898</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#41","title":"4.1 \u674e\u7fa4\u548c\u674e\u4ee3\u6570\u57fa\u7840","text":"<ul> <li>\u4e09\u7ef4\u65cb\u8f6c\u77e9\u9635\u6784\u6210\u4e86\u7279\u6b8a\u6b63\u4ea4\u7fa4 \\(\\displaystyle \\boldsymbol{SO}(3)\\)</li> <li>\u53d8\u6362\u77e9\u9635\u6784\u6210\u4e86\u7279\u6b8a\u6b27\u6c0f\u7fa4 \\(\\displaystyle \\boldsymbol{SE}(3)\\)<ul> <li>\u4f46\u662f\u4ed6\u4eec\u90fd\u5bf9\u52a0\u6cd5\u4e0d\u5c01\u95ed</li> <li>\u5bf9\u4e58\u6cd5\u5c01\u95ed</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#411","title":"4.1.1 \u7fa4","text":"<ul> <li>\\(\\displaystyle G = (A,\\cdot)\\) \u6ee1\u8db3:<ul> <li>\u5c01\u95ed\u6027</li> <li>\u7ed3\u5408\u5f8b</li> <li>\u5e7a\u5143</li> <li>\u9006</li> </ul> </li> <li>\u674e\u7fa4\u662f\u5177\u6709\u8fde\u7eed\uff08\u5149\u6ed1\uff09\u6027\u8d28\u7684\u7fa4</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#412","title":"4.1.2 \u674e\u4ee3\u6570\u7684\u5f15\u51fa","text":"<ul> <li>\\(\\displaystyle \\boldsymbol{R}\\boldsymbol{R}^\\mathrm{T} = \\boldsymbol{I}\\)</li> <li>\u6211\u4eec\u6613\u5f97: \\(\\displaystyle \\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}=-\\left(\\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}\\right)^\\mathrm{T}.\\)<ul> <li>\u5373 \\(\\displaystyle \\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}\\) \u662f\u53cd\u5bf9\u79f0</li> </ul> </li> <li>\u800c\u5bf9\u4e8e\u4efb\u610f\u53cd\u5bf9\u79f0\u77e9\u9635\uff0c\u6211\u4eec\u90fd\u53ef\u4ee5\u627e\u5230\u552f\u4e00\u4e0e\u4e4b\u5bf9\u5e94\u7684\u5411\u91cf<ul> <li>\\(\\displaystyle \\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}=\\boldsymbol{\\phi}(t)^{\\wedge}.\\)</li> <li>\\(\\displaystyle \\dot{\\boldsymbol{R}}(t)=\\phi(t)^{\\wedge}\\boldsymbol{R}(t)=\\begin{bmatrix}0&amp;-\\phi_3&amp;\\phi_2\\\\\\phi_3&amp;0&amp;-\\phi_1\\\\-\\phi_2&amp;\\phi_1&amp;0\\end{bmatrix}\\boldsymbol{R}(t).\\) \u8003\u8651 \\(\\displaystyle t_{0} = 0\\) \u548c \\(\\displaystyle \\boldsymbol{R}(0) = \\boldsymbol{I}\\) \u65f6:</li> </ul> </li> </ul> \\[ \\begin{aligned} R(t)&amp; \\approx\\boldsymbol{R}\\left(t_{0}\\right)+\\dot{\\boldsymbol{R}}\\left(t_{0}\\right)\\left(t-t_{0}\\right) \\\\ &amp;=I+\\phi(t_0)^{\\wedge}(t). \\end{aligned} \\] <p>\u4e8e\u662f\u6c42\u5bfc-&gt;\u4e00\u4e2a\u7b97\u7b26 \\(\\displaystyle \\phi\\) \uff0c\u88ab\u79f0\u4e3a \\(\\displaystyle \\boldsymbol{SO}(3)\\) \u539f\u70b9\u9644\u8fd1\u7684\u6b63\u5207\u7a7a\u95f4\uff08Tangent Space\uff09 \u8bbe\u5728 \\(\\displaystyle t_{0}\\) \u9644\u8fd1\uff0c\\(\\displaystyle \\phi\\) \u4fdd\u6301\u5e38\u6570 \\(\\displaystyle \\phi(t_{0})=\\phi_{0}\\)\uff0c</p> \\[ \\dot{\\boldsymbol{R}}(t)=\\boldsymbol{\\phi}(t_0)^\\wedge\\boldsymbol{R}(t)=\\boldsymbol{\\phi}_0^\\wedge\\boldsymbol{R}(t). \\] <p>\u518d\u6709 \\(\\displaystyle \\boldsymbol{R}(0) = \\boldsymbol{I}\\)\uff0c\u89e3\u7684:</p> \\[ \\boldsymbol{R}(t)=\\exp\\left(\\boldsymbol{\\phi}_{0}^{\\wedge}t\\right). \\] <ul> <li>\\(\\displaystyle \\phi\\) \u6b63\u662f\u5bf9\u5e94\u5230 \\(\\displaystyle SO(3)\\) \u4e0a\u7684\u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{so}(3)\\)</li> <li>\\(\\displaystyle \\begin{aligned}&amp;\\text{\u5176\u6b21,\u7ed9\u5b9a\u67d0\u4e2a\u5411\u91cf }\\phi\\text{ \u65f6,\u77e9\u9635\u6307\u6570}\\exp(\\phi^{\\wedge})\\text{ \u5982\u4f55\u8ba1\u7b97? \u53cd\u4e4b,\u7ed9\u5b9a }R\\text{ \u65f6,\u80fd\u5426\u6709\u76f8\u53cd}\\\\&amp;\\text{\u7684\u8fd0\u7b97\u6765\u8ba1\u7b97 }\\phi?\\text{ \u4e8b\u5b9e\u4e0a,\u8fd9\u6b63\u662f\u674e\u7fa4\u4e0e\u674e\u4ee3\u6570\u95f4\u7684\u6307\u6570}/\\text{\u5bf9\u6570\u6620\u5c04\u3002}\\end{aligned}\\)</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#413","title":"4.1.3 \u674e\u4ee3\u6570\u7684\u5b9a\u4e49","text":"<p>\u674e\u4ee3\u6570\u7531\u4e00\u4e2a\u96c6\u5408 \\(\\displaystyle \\mathbb{V}\\)\u3001\u4e00\u4e2a\u6570\u57df \\(\\displaystyle \\mathbb{F}\\) \u548c\u4e00\u4e2a\u4e8c\u5143\u8fd0\u7b97 \\(\\displaystyle [,]\\) \u7ec4\u6210\u3002\u5982\u679c\u6ee1\u8db3\u4ee5\u4e0b\u51e0\u6761\u6027\u8d28\uff0c\u5219\u79f0 ( \\(\\displaystyle \\mathbb{V},\\mathbb{F},[,]\\)) \u4e3a\u4e00\u4e2a\u674e\u4ee3\u6570\uff0c\u8bb0\u4f5c \\(\\displaystyle \\mathfrak{g}\\)\u3002</p> <ol> <li>\u5c01\u95ed\u6027</li> <li>\u53cc\u7ebf\u6027</li> <li>\u81ea\u53cd\u6027 \\(\\displaystyle \\quad\\forall \\boldsymbol{X}\\in\\mathbb{V},[\\boldsymbol{X},\\boldsymbol{X}]=0\\)</li> <li>\u96c5\u53ef\u6bd4\u7b49\u4ef7 \\(\\displaystyle \\forall X,Y,Z\\in\\mathbb{V},[X,[Y,Z]]+[Z,[X,Y]]+[Y,[Z,X]]=0.\\) \u5176\u4e2d\u4e8c\u5143\u8fd0\u7b97\u88ab\u79f0\u4e3a\u674e\u62ec\u53f7\u3002 eg: \u53c9\u79ef\u662f\u4e00\u79cd\u674e\u62ec\u53f7</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#414-displaystyle-mathfrakso3","title":"4.1.4 \u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{so}(3)\\)","text":"<p>\\(\\displaystyle \\boldsymbol{\\Phi}=\\boldsymbol{\\phi}^{\\wedge}=\\begin{bmatrix}0&amp;-\\phi_3&amp;\\phi_2\\\\\\\\\\phi_3&amp;0&amp;-\\phi_1\\\\\\\\-\\phi_2&amp;\\phi_1&amp;0\\end{bmatrix}\\in\\mathbb{R}^{3\\times3}.\\) \u6240\u4ee5\u4e24\u4e2a\u5411\u91cf \\(\\displaystyle \\phi_{1},\\phi_{2}\\) \u7684\u674e\u62ec\u53f7\u4e3a:</p> \\[ [\\phi_1,\\phi_2]=(\\boldsymbol{\\Phi}_1\\boldsymbol{\\Phi}_2-\\boldsymbol{\\Phi}_2\\boldsymbol{\\Phi}_1)^\\vee. \\] \\[ \\mathfrak{so}(3)=\\left\\{\\phi\\in\\mathbb{R}^3,\\boldsymbol{\\Phi}=\\phi^\\wedge\\in\\mathbb{R}^{3\\times3}\\right\\}. \\] \\[ R=\\exp(\\phi^{\\wedge}). \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#415-displaystyle-mathfrakse3","title":"4.1.5 \u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{se}(3)\\)","text":"\\[ \\mathfrak{se}(3)=\\left\\{\\boldsymbol{\\xi}=\\begin{bmatrix}\\boldsymbol{\\rho}\\\\\\boldsymbol{\\phi}\\end{bmatrix}\\in\\mathbb{R}^6,\\boldsymbol{\\rho}\\in\\mathbb{R}^3,\\boldsymbol{\\phi}\\in\\mathfrak{so}(3),\\boldsymbol{\\xi}^\\wedge=\\begin{bmatrix}\\boldsymbol{\\phi}^\\wedge&amp;\\boldsymbol{\\rho}\\\\\\boldsymbol{0}^\\mathrm{T}&amp;0\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}\\right\\}. \\] <p>\u524d\u4e09\u7ef4\u4e3a\u5e73\u79fb\uff0c\u540e\u4e09\u7ef4\u4e3a\u65cb\u8f6c\uff08\u5b9e\u8d28\u4e0a\u662f \\(\\displaystyle \\mathfrak{so}(3)\\) \u5143\u7d20\uff09</p> \\[ \\xi^\\wedge=\\begin{bmatrix}\\phi^\\wedge&amp;\\rho\\\\0^\\mathrm{T}&amp;0\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}. \\] <p>\u540c\u6837\u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{se}(3)\\) \u4e5f\u6709\u7c7b\u4f3c\u4e8e \\(\\displaystyle \\mathfrak{so}(3)\\) \u7684\u674e\u62ec\u53f7:</p> \\[ [\\xi_1,\\xi_2]=\\left(\\xi_1^\\wedge\\xi_2^\\wedge-\\xi_2^\\wedge\\xi_1^\\wedge\\right)^\\vee. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#42","title":"4.2 \u6307\u6570\u4e0e\u5bf9\u6570\u6620\u5c04","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#421-so3","title":"4.2.1 SO(3)\u4e0a\u7684\u6307\u6570\u6620\u5c04","text":"<ul> <li>Exponential Map</li> <li>\u9996\u5148\u4efb\u610f\u77e9\u9635\u7684\u6307\u6570\u6620\u5c04\u53ef\u4ee5\u5199\u6210\u4e00\u4e2a\u6cf0\u52d2\u5c55\u5f00\uff08\u6536\u655b\u7684\u65f6\u5019\uff09</li> </ul> \\[ \\exp(A)=\\sum_{n=0}^\\infty\\frac1{n!}A^n. \\] <ul> <li>\u5e94\u7528\u5230 \\(\\displaystyle \\mathfrak{so}(3)\\) \u4e2d:</li> </ul> \\[ \\exp(\\phi^\\wedge)=\\sum_{n=0}^\\infty\\frac{1}{n!}(\\phi^\\wedge)^n. \\] <ul> <li>\u6211\u4eec\u53ef\u4ee5\u628a \\(\\displaystyle \\phi\\) \u8868\u793a\u6210 \\(\\displaystyle \\theta \\boldsymbol{a}\\)\uff0c\u5bf9\u4e8e \\(\\displaystyle \\boldsymbol{a}^\\wedge\\):</li> </ul> \\[ \\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}=\\begin{bmatrix}-a_2^2-a_3^2&amp;a_1a_2&amp;a_1a_3\\\\\\\\a_1a_2&amp;-a_1^2-a_3^2&amp;a_2a_3\\\\\\\\a_1a_3&amp;a_2a_3&amp;-a_1^2-a_2^2\\end{bmatrix}=\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}-\\boldsymbol{I}, \\] <p>\u548c</p> \\[ a^{\\wedge}a^{\\wedge}a^{\\wedge}=a^{\\wedge}(aa^{\\mathrm{T}}-I)=-a^{\\wedge}. \\] <p>\u4e8e\u662f\u6211\u4eec\u53ef\u4ee5\u5316\u7b80:</p> \\[ \\begin{aligned} \\exp\\left(\\phi^\\wedge\\right)&amp; =\\exp\\left(\\theta\\boldsymbol{a}^\\wedge\\right)=\\sum_{n=0}^\\infty\\frac1{n!}\\left(\\theta\\boldsymbol{a}^\\wedge\\right)^n \\\\ &amp;=I+\\theta\\boldsymbol{a}^{\\wedge}+\\frac{1}{2!}\\theta^{2}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}+\\frac{1}{3!}\\theta^{3}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}+\\frac{1}{4!}\\theta^{4}(\\boldsymbol{a}^{\\wedge})^{4}+\\cdots \\\\ &amp;=\\boldsymbol{a}\\boldsymbol{a}^{\\mathrm{T}}-\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}+\\theta\\boldsymbol{a}^{\\wedge}+\\frac{1}{2!}\\theta^{2}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}-\\frac{1}{3!}\\theta^{3}\\boldsymbol{a}^{\\wedge}-\\frac{1}{4!}\\theta^{4}(\\boldsymbol{a}^{\\wedge})^{2}+\\cdots \\\\ &amp;=\\boldsymbol{a}\\boldsymbol{a}^{\\mathsf{T}}+\\underbrace{\\left(\\theta-\\frac{1}{3!}\\theta^{3}+\\frac{1}{5!}\\theta^{5}-\\cdots\\right)}_{\\sin\\theta}\\boldsymbol{a}^{\\wedge}-\\underbrace{\\left(1-\\frac{1}{2!}\\theta^{2}+\\frac{1}{4!}\\theta^{4}-\\cdots\\right)}_{\\cos\\theta}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge} \\\\ &amp;=a^\\wedge a^\\wedge+I+\\sin\\theta a^\\wedge-\\cos\\theta a^\\wedge a^\\wedge \\\\ &amp;=(1-\\cos\\theta)\\boldsymbol{a}^\\wedge\\boldsymbol{a}^\\wedge+\\boldsymbol{I}+\\sin\\theta\\boldsymbol{a}^\\wedge \\\\ &amp;=\\cos\\theta\\boldsymbol{I}+(1-\\cos\\theta)\\boldsymbol{aa}^\\mathrm{T}+\\sin\\theta\\boldsymbol{a}^\\mathrm{\\wedge}. \\end{aligned} \\] <p>\u6700\u540e\u5f97\u5230:</p> \\[ \\exp(\\theta\\boldsymbol{a}^\\wedge)=\\cos\\theta\\boldsymbol{I}+(1-\\cos\\theta)\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}+\\sin\\theta\\boldsymbol{a}^\\wedge. \\] <p>\u6240\u4ee5 \\(\\displaystyle \\mathfrak{so}(3)\\) \u5c31\u662f\u65cb\u91cf\u5411\u91cf\u7ec4\u6210\u7684\u7a7a\u95f4\uff0c\u800c\u6307\u6570\u6620\u5c04\u5373\u7f57\u5fb7\u91cc\u683c\u65af\u516c\u5f0f\u3002</p> <ul> <li>\u901a\u8fc7\u4e0a\u9762\u7684\u516c\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u628a \\(\\displaystyle \\mathfrak{so}(3)\\) \u4e2d\u4efb\u610f\u5411\u91cf\u5bf9\u5e94\u5230 SO (3) \u4e2d\u7684\u65cb\u8f6c\u77e9\u9635</li> <li>\u53cd\u8fc7\u6765\u4e5f\u662f\u53ef\u4ee5\u7684</li> </ul> \\[ \\phi=\\ln\\left(\\boldsymbol{R}\\right)^\\vee=\\left(\\sum_{n=0}^\\infty\\frac{\\left(-1\\right)^n}{n+1}\\left(\\boldsymbol{R}-\\boldsymbol{I}\\right)^{n+1}\\right)^\\vee. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#422-se-3","title":"4.2.2 SE (3) \u4e0a\u7684\u6307\u6570\u6620\u5c04","text":"<p>\u540c\u6837\u7684\u63a8\u5bfc\u65b9\u5f0f:</p> \\[ \\begin{aligned} \\exp\\left(\\xi^{\\wedge}\\right)&amp; =\\begin{bmatrix}\\sum_{n=0}^{\\infty}\\frac{1}{n!}(\\phi^{\\wedge})^{n}&amp;\\sum_{n=0}^{\\infty}\\frac{1}{(n+1)!}(\\phi^{\\wedge})^{n}\\rho\\\\\\\\\\mathbf{0}^{\\mathrm{T}}&amp;1\\end{bmatrix} \\\\ &amp;\\stackrel{\\Delta}{=}\\begin{bmatrix}R&amp;J\\rho\\\\\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}=T. \\end{aligned} \\] \\[ \\begin{aligned} \\sum_{n=0}^{\\infty}\\frac{1}{(n+1)!}(\\phi^{\\wedge})^{n}&amp; =\\boldsymbol{I}+\\frac{1}{2!}\\theta\\boldsymbol{a}^{\\wedge}+\\frac{1}{3!}\\theta^{2}{(\\boldsymbol{a}^{\\wedge})}^{2}+\\frac{1}{4!}\\theta^{3}{(\\boldsymbol{a}^{\\wedge})}^{3}+\\frac{1}{5!}\\theta^{4}{(\\boldsymbol{a}^{\\wedge})}^{4}\\cdots  \\\\ &amp;=\\frac{1}{\\theta}\\left(\\frac{1}{2!}\\theta^{2}-\\frac{1}{4!}\\theta^{4}+\\cdots\\right)(\\boldsymbol{a}^{\\wedge})+\\frac{1}{\\theta}\\left(\\frac{1}{3!}\\theta^{3}-\\frac{1}{5}\\theta^{5}+\\cdots\\right)(\\boldsymbol{a}^{\\wedge})^{2}+\\boldsymbol{I} \\\\ &amp;=\\frac1\\theta\\left(1-\\cos\\theta\\right)\\left(\\boldsymbol{a}^{\\wedge}\\right)+\\frac{\\theta-\\sin\\theta}\\theta\\left(\\boldsymbol{a}\\boldsymbol{a}^{\\mathrm{T}}-\\boldsymbol{I}\\right)+\\boldsymbol{I} \\\\ &amp;=\\frac{\\sin\\theta}\\theta\\boldsymbol{I}+\\left(1-\\frac{\\sin\\theta}\\theta\\right)\\boldsymbol{aa}^\\mathrm{T}+\\frac{1-\\cos\\theta}\\theta\\boldsymbol{a}^\\mathrm{\\wedge}\\overset{\\mathrm{def}}{\\operatorname*{=}}\\boldsymbol{J}. \\end{aligned} \\] \\[ \\boldsymbol{J}=\\frac{\\sin\\theta}{\\theta}\\boldsymbol{I}+\\left(1-\\frac{\\sin\\theta}{\\theta}\\right)\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}+\\frac{1-\\cos\\theta}{\\theta}\\boldsymbol{a}^\\mathrm{\\wedge}. \\] <p>4.28 \u6ca1\u770b\u61c2 </p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#43","title":"4.3 \u674e\u4ee3\u6570\u6c42\u5bfc\u4e0e\u6270\u52a8\u6a21\u578b","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#431-bch","title":"4.3.1 BCH \u516c\u5f0f\u4e0e\u8fd1\u4f3c\u5f62\u5f0f","text":"<p>\u63a2\u7a76\u5982\u4e0b\u5f0f\u5b50\u662f\u5426\u6210\u7acb:</p> \\[ \\ln\\left(\\exp\\left(A\\right)\\exp\\left(B\\right)\\right)=A+B ? \\] <p>\u4f46\u5b83\u5e76\u4e0d\u6210\u7acb\u3002\u4e24\u4e2a\u674e\u4ee3\u6570\u6307\u6570\u6620\u5c04\u4e58\u79ef\u7684\u5b8c\u6574\u5f62\u5f0f\uff0c\u7531 Baker-Campbell-Hausdorff \u7ed9\u51fa:</p> \\[ \\ln\\left(\\exp\\left(A\\right)\\exp\\left(B\\right)\\right)=A+B+\\frac{1}{2}\\left[A,B\\right]+\\frac{1}{12}\\left[A,\\left[A,B\\right]\\right]-\\frac{1}{12}\\left[B,\\left[A,B\\right]\\right]+\\cdots \\] <p>\u7279\u522b\u7684\uff0c\u5f53 \\(\\displaystyle \\phi_{1}\\) \u6216 \\(\\displaystyle \\phi_{2}\\) \u4e3a\u5c0f\u91cf\u65f6\uff0c\u5c0f\u91cf\u4e8c\u6b21\u4ee5\u4e0a\u7684\u9879\u90fd\u53ef\u4ee5\u88ab\u5ffd\u7565\uff0c\u6b64\u65f6\u7684\u7ebf\u6027\u8fd1\u4f3c\u8868\u8fbe:</p> \\[ \\ln\\left(\\exp\\left(\\phi_1^\\wedge\\right)\\exp\\left(\\phi_2^\\wedge\\right)\\right)^\\vee\\approx\\begin{cases}J_l(\\phi_2)^{-1}\\phi_1+\\phi_2&amp;\\text{\u5f53}\\phi_1\\text{\u4e3a\u5c0f\u91cf},\\\\J_r(\\phi_1)^{-1}\\phi_2+\\phi_1&amp;\\text{\u5f53}\\phi_2\\text{\u4e3a\u5c0f\u91cf}.\\end{cases} \\] \\[ \\boldsymbol{J}_{l}=\\frac{\\sin\\theta}{\\theta}\\boldsymbol{I}+\\left(1-\\frac{\\sin\\theta}{\\theta}\\right)\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}+\\frac{1-\\cos\\theta}{\\theta}\\boldsymbol{a}^\\mathrm{\\wedge}. \\] \\[ \\boldsymbol{J}_{\\ell}^{-1}=\\frac{\\theta}{2}\\cot\\frac{\\theta}{2}\\boldsymbol{I}+\\left(1-\\frac{\\theta}{2}\\cot\\frac{\\theta}{2}\\right)\\boldsymbol{a}\\boldsymbol{a}^{\\mathrm{T}}-\\frac{\\theta}{2}\\boldsymbol{a}^{\\wedge}. \\] \\[ J_{r}(\\phi)=J_{l}(-\\phi). \\] <p>\u4e8e\u662f\u6211\u4eec\u5c31\u53ef\u4ee5\u8c08\u8bba\u674e\u7fa4\u4e58\u6cd5\u4e0e\u674e\u4ee3\u6570\u52a0\u6cd5\u7684\u5173\u7cfb\u4e86\u3002 \\(\\displaystyle \\boldsymbol{R}\\) \u5bf9\u5e94 \\(\\displaystyle \\phi\\)\uff0c\u6211\u4eec\u7ed9\u5b83\u5de6\u4e58\u4e00\u4e2a\u5fae\u5c0f\u65cb\u8f6c\uff0c\u8bb0\u4f5c \\(\\displaystyle \\Delta \\boldsymbol{R}\\)</p> \\[ \\exp\\left(\\Delta\\phi^{\\wedge}\\right)\\exp\\left(\\phi^{\\wedge}\\right)=\\exp\\left(\\left(\\phi+J_{l}^{-1}\\left(\\phi\\right)\\Delta\\phi\\right)^{\\wedge}\\right). \\] \\[ \\exp\\left(\\left(\\phi+\\Delta\\phi\\right)^{\\wedge}\\right)=\\exp\\left(\\left(J_{l}\\Delta\\phi\\right)^{\\wedge}\\right)\\exp\\left(\\phi^{\\wedge}\\right)=\\exp\\left(\\phi^{\\wedge}\\right)\\exp\\left(\\left(J_{r}\\Delta\\phi\\right)^{\\wedge}\\right). \\] <p>\u5bf9\u4e8e SE (3) \u6211\u4eec\u4e5f\u6709:</p> \\[ \\exp\\left(\\Delta\\xi^{\\wedge}\\right)\\exp\\left(\\xi^{\\wedge}\\right)\\approx\\exp\\left(\\left(\\mathcal{J}_{l}^{-1}\\Delta\\xi+\\xi\\right)^{\\wedge}\\right) \\] \\[ exp\\left(\\xi^{\\wedge}\\right)\\exp\\left(\\Delta\\xi^{\\wedge}\\right)\\approx\\exp\\left(\\left(\\mathcal{J}_{r}^{-1}\\Delta\\xi+\\xi\\right)^{\\wedge}\\right). \\] <p>\u552f\u4e00\u4e0d\u540c\u7684\u662f\u8fd9\u91cc\u7684 \\(\\displaystyle J_{l}\\) \u6bd4\u8f83\u590d\u6742\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#432-so-3","title":"4.3.2 SO (3) \u4e0a\u7684\u674e\u4ee3\u6570\u6c42\u5bfc","text":"\\[ z=T\\boldsymbol{p}+\\boldsymbol{w}. \\] <p>\u5176\u4e2d \\(\\displaystyle \\boldsymbol{w}\\) \u662f\u968f\u673a\u566a\u58f0\u3002</p> \\[ e=z-Tp. \\] <p>\u5047\u8bbe\u4e00\u5171\u6709 N \u4e2a\u8fd9\u6837\u7684\u8def\u6807\u70b9\u548c\u89c2\u6d4b:</p> \\[ \\min_{\\boldsymbol{T}}J(\\boldsymbol{T})=\\sum_{i=1}^N\\left\\|\\boldsymbol{z}_i-\\boldsymbol{T}\\boldsymbol{p}_i\\right\\|_2^2. \\] <p>most importantly\uff0c\u6211\u4eec\u4f1a\u6784\u5efa\u4e0e\u4f4d\u59ff\u6709\u5173\u7684\u51fd\u6570\uff0c\u5e76\u8ba8\u8bba\u8be5\u51fd\u6570\u5173\u4e8e\u4f4d\u59ff\u7684\u5bfc\u6570\uff0c\u4ee5\u8c03\u6574\u5f53\u524d\u7684\u4f30\u8ba1\u503c\u3002 \u4f7f\u7528\u674e\u4ee3\u6570\u89e3\u51b3\u6c42\u5bfc\u95ee\u9898\u7684\u601d\u8def\u5206\u4e3a\u4e24\u79cd:</p> <ol> <li>\u7528\u674e\u4ee3\u6570\u8868\u793a\u59ff\u6001\uff0c\u7136\u540e\u6839\u636e\u674e\u4ee3\u6570\u52a0\u6cd5\u5bf9\u674e\u4ee3\u6570\u6c42\u5bfc\u3002</li> <li>\u5bf9\u674e\u7fa4\u5de6\u4e58\u6216\u53f3\u4e58\u5fae\u5c0f\u6270\u52a8\uff0c\u7136\u540e\u5bf9\u8be5\u6270\u52a8\u6c42\u5bfc\uff0c\u79f0\u4e3a\u5de6\u6270\u52a8\u548c\u53f3\u6270\u52a8\u6a21\u578b\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#44","title":"4.4 \u674e\u4ee3\u6570\u6c42\u5bfc","text":"<p>\u8981\u8ba1\u7b97 \\(\\displaystyle \\frac{\\partial\\left(Rp\\right)}{\\partial R}\\), \u7531\u4e8eSO\uff083\uff09\u6ca1\u6709\u52a0\u6cd5\uff0c\u6211\u4eec\u8f6c\u800c\u8ba1\u7b97: \\(\\displaystyle \\frac{\\partial\\left(\\exp\\left(\\phi^{\\wedge}\\right)\\boldsymbol{p}\\right)}{\\partial\\boldsymbol{\\phi}}.\\)</p> \\[ \\begin{aligned} \\frac{\\partial\\left(\\exp\\left(\\phi^{\\wedge}\\right)\\boldsymbol{p}\\right)}{\\partial\\phi}&amp; =\\lim_{\\delta\\boldsymbol{\\phi}\\to0}\\frac{\\exp\\left(\\left(\\boldsymbol{\\phi}+\\delta\\boldsymbol{\\phi}\\right)^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\phi}} \\\\ &amp;=\\lim_{\\delta\\phi\\to0}\\frac{\\exp\\left(\\left(\\boldsymbol{J}_i\\delta\\boldsymbol{\\phi}\\right)^\\wedge\\right)\\exp\\left(\\boldsymbol{\\phi}^\\wedge\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^\\wedge\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\phi}} \\\\ &amp;=\\lim_{\\delta\\phi\\to0}\\frac{\\left(\\boldsymbol{I}+\\left(\\boldsymbol{J}_{l}\\delta\\boldsymbol{\\phi}\\right)^{\\wedge}\\right)\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\phi} \\\\ &amp;=\\lim_{\\delta\\phi\\to0}\\frac{\\left(\\boldsymbol{J}_{l}\\delta\\phi\\right)^{\\wedge}\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\phi} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\phi}\\to0}\\frac{-(\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p})^{\\wedge}\\boldsymbol{J}_{l}\\delta\\boldsymbol{\\phi}}{\\delta\\boldsymbol{\\phi}}=-(\\boldsymbol{R}\\boldsymbol{p})^{\\wedge}\\boldsymbol{J}_{l}. \\end{aligned} \\] <p>BCH \u7ebf\u6027\u8fd1\u4f3c+\u6cf0\u52d2\u5c55\u5f00\u53d6\u7ebf\u6027\u9879:</p> \\[ \\frac{\\partial\\left(\\boldsymbol{Rp}\\right)}{\\partial\\boldsymbol{\\phi}}=\\left(-\\boldsymbol{Rp}\\right)^{\\wedge}\\boldsymbol{J}_{l}. \\] <p>\u4f46\u662f\u8fd9\u91cc\u4ecd\u7136\u6709 \\(\\displaystyle \\boldsymbol{J}_{l}\\)</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#441","title":"4.4.1 \u6270\u52a8\u6a21\u578b\uff08\u5de6\u4e58\uff09","text":"<p>\\(\\displaystyle \\varphi\\) \u5bf9\u5e94\u5de6\u6270\u52a8 \\(\\displaystyle \\Delta \\boldsymbol{R}\\)</p> \\[ \\begin{aligned} \\frac{\\partial\\left(Rp\\right)}{\\partial\\varphi}&amp; =\\lim_{\\varphi\\to0}\\frac{\\exp\\left(\\varphi^{\\wedge}\\right)\\exp\\left(\\phi^{\\wedge}\\right)p-\\exp\\left(\\phi^{\\wedge}\\right)p}{\\varphi} \\\\ &amp;=\\lim_{\\varphi\\to0}\\frac{(\\boldsymbol{I}+\\boldsymbol{\\varphi}^{\\wedge})\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\varphi} \\\\ &amp;=\\lim_{\\varphi\\to0}\\frac{\\varphi^\\wedge Rp}\\varphi=\\lim_{\\varphi\\to0}\\frac{-\\left(Rp\\right)^\\wedge\\varphi}\\varphi=-\\left(Rp\\right)^\\wedge. \\end{aligned} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#442-se-3","title":"4.4.2 SE (3) \u4e0a\u7684\u674e\u4ee3\u6570\u6c42\u5bfc","text":"\\[ \\begin{aligned} \\frac{\\partial\\left(\\boldsymbol{T}\\boldsymbol{p}\\right)}{\\partial\\delta\\boldsymbol{\\xi}}&amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\boldsymbol{0}}\\frac{\\exp\\left(\\delta\\boldsymbol{\\xi}^{\\wedge}\\right)\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\xi} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\mathbf{0}}\\frac{\\left(\\boldsymbol{I}+\\delta\\boldsymbol{\\xi}^{\\wedge}\\right)\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\xi}} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to0}\\frac{\\delta\\boldsymbol{\\xi}^{\\wedge}\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\xi}} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\mathbf{0}}\\frac{\\begin{bmatrix}\\delta\\boldsymbol{\\phi}^\\wedge&amp;\\delta\\boldsymbol{\\rho}\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;0\\end{bmatrix}\\begin{bmatrix}\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t}\\\\\\\\1\\end{bmatrix}}{\\delta\\boldsymbol{\\xi}} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\boldsymbol{0}}\\frac{\\begin{bmatrix}\\delta\\boldsymbol{\\phi}^{\\wedge}\\left(\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t}\\right)+\\delta\\boldsymbol{\\rho}\\\\\\boldsymbol{0}^{\\mathrm{T}}\\end{bmatrix}}{[\\delta\\boldsymbol{\\rho},\\delta\\boldsymbol{\\phi}]^{\\mathrm{T}}}=\\begin{bmatrix}\\boldsymbol{I}&amp;-(\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t})^{\\wedge}\\\\\\boldsymbol{0}^{\\mathrm{T}}&amp;\\boldsymbol{0}^{\\mathrm{T}}\\end{bmatrix}\\stackrel{\\mathrm{def}}{=}(\\boldsymbol{T}\\boldsymbol{p})^{\\odot}. \\end{aligned} \\] \\[ \\frac{\\mathrm{d}\\begin{bmatrix}a\\\\b\\end{bmatrix}}{\\mathrm{d}\\begin{bmatrix}x\\\\y\\end{bmatrix}}=\\left(\\frac{\\mathrm{d}[a,b]^\\mathrm{T}}{\\mathrm{d}\\begin{bmatrix}x\\\\y\\end{bmatrix}}\\right)^\\mathrm{T}=\\begin{bmatrix}\\frac{\\mathrm{d}a}{\\mathrm{d}x}&amp;\\frac{\\mathrm{d}b}{\\mathrm{d}x}\\\\\\frac{\\mathrm{d}a}{\\mathrm{d}y}&amp;\\frac{\\mathrm{d}b}{\\mathrm{d}y}\\end{bmatrix}^\\mathrm{T}=\\begin{bmatrix}\\frac{\\mathrm{d}a}{\\mathrm{d}x}&amp;\\frac{\\mathrm{d}a}{\\mathrm{d}y}\\\\\\frac{\\mathrm{d}b}{\\mathrm{d}x}&amp;\\frac{\\mathrm{d}b}{\\mathrm{d}y}\\end{bmatrix} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#45-sophus","title":"4.5 \u5b9e\u8df5:Sophus","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#451-sophus","title":"4.5.1 Sophus \u7684\u57fa\u672c\u4f7f\u7528\u65b9\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#452","title":"4.5.2 \u4f8b\u5b50: \u8bc4\u4f30\u8f68\u8ff9\u7684\u8bef\u5dee","text":"<ul> <li>\u7edd\u5bf9\u8f68\u8ff9\u8bef\u5dee\uff08Absolute Trajectory Error, ATE\uff09</li> </ul> \\[ \\mathrm{ATE}_{\\mathrm{all}}=\\sqrt{\\frac{1}{N}\\sum_{i=1}^{N}\\|\\log(T_{\\mathrm{gt},i}^{-1}T_{\\mathrm{esti},i})^{\\vee}\\|_{2}^{2}}, \\] <p>\u5373\u5747\u65b9\u6839\u8bef\u5dee\uff08Root-Mean-Squared Error, RMSE\uff09</p> <ul> <li>\u7edd\u5bf9\u5e73\u79fb\u8bef\u5dee\uff08Average Translational Error\uff09</li> </ul> \\[ \\mathrm{ATE}_{\\mathrm{all}}=\\sqrt{\\frac{1}{N}\\sum_{i=1}^{N}\\|\\log(T_{\\mathrm{gt},i}^{-1}T_{\\mathrm{esti},i})^{\\vee}\\|_{2}^{2}}, \\] <ul> <li>\u76f8\u5bf9\u4f4d\u59ff\u8bef\u5dee\uff08Relative Pose Error, RPE\uff09</li> </ul> \\[ \\mathrm{RPE}_{\\mathrm{all}}=\\sqrt{\\frac{1}{N-\\Delta t}\\sum_{i=1}^{N-\\Delta t}\\|\\log\\left(\\left(\\boldsymbol{T}_{\\mathrm{gt},i}^{-1}\\boldsymbol{T}_{\\mathrm{gt},i+\\Delta t}\\right)\\right)^{-1}\\left(\\boldsymbol{T}_{\\mathrm{est},i}^{-1}\\boldsymbol{T}_{\\mathrm{est},i+\\Delta t}\\right))^{\\vee}\\|_{2}^{2}}, \\] \\[ \\mathrm{RPE}_{\\mathrm{trans}}=\\sqrt{\\frac{1}{N-\\Delta t}\\sum_{i=1}^{N-\\Delta t}\\|\\mathrm{trans}\\left(\\left(T_{gt,i}^{-1}T_{gt,i+\\Delta t}\\right)\\right)^{-1}\\left(T_{\\mathrm{esti},i}^{-1}T_{\\mathrm{esti},i+\\Delta t}\\right))\\|_{2}^{2}}. \\] <p>\u4ee3\u7801\u8ba1\u7b97:</p> Text Only<pre><code>TODO\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#46","title":"4.6 \u76f8\u4f3c\u53d8\u6362\u4e0e\u674e\u4ee3\u6570","text":"<p>\u5728\u8fd9\u91cc\u6211\u4eec\u8ba8\u8bba Sim (3) \u548c\u5bf9\u5e94\u7684\u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{sim}(3)\\)\u3002 \u5bf9\u4e8e\u4f4d\u4e8e\u7a7a\u95f4\u7684\u70b9 \\(\\displaystyle \\boldsymbol{p}\\)\uff0c\u5728\u76f8\u673a\u5750\u6807\u7cfb\u4e0b\u8981\u7ecf\u8fc7\u4e00\u4e2a\u76f8\u4f3c\u53d8\u6362\uff0c\u800c\u975e\u6b27\u6c0f\u53d8\u6362:</p> \\[ \\boldsymbol{p}'=\\begin{bmatrix}s\\boldsymbol{R}&amp;\\boldsymbol{t}\\\\\\boldsymbol{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\boldsymbol{p}=s\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t}. \\] \\[ \\mathrm{Sim}(3)=\\left\\{S=\\begin{bmatrix}sR&amp;t\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}\\right\\}. \\] \\[ \\sin(3)=\\left\\{\\zeta|\\zeta=\\begin{bmatrix}\\rho\\\\\\\\\\phi\\\\\\\\\\sigma\\end{bmatrix}\\in\\mathbb{R}^7,\\zeta^\\wedge=\\begin{bmatrix}\\sigma\\boldsymbol{I}+\\phi^\\wedge&amp;\\rho\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;0\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}\\right\\}. \\] \\[ \\exp\\left(\\zeta^{\\wedge}\\right)=\\begin{bmatrix}\\mathrm{e}^{\\sigma}\\exp\\left(\\phi^{\\wedge}\\right)&amp;J_{s}\\rho\\\\0^{\\mathrm{T}}&amp;1\\end{bmatrix}. \\] <p>\u5176\u4e2d\uff0c\\(\\displaystyle \\boldsymbol{J}_{S}\\) \u7684\u5f62\u5f0f\u662f:</p> \\[ \\begin{aligned} \\text{J}&amp; =\\frac{\\mathrm{e}^{\\sigma}-1}{\\sigma}I+\\frac{\\sigma\\mathrm{e}^{\\sigma}\\sin\\theta+\\left(1-\\mathrm{e}^{\\sigma}\\cos\\theta\\right)\\theta}{\\sigma^{2}+\\theta^{2}}\\boldsymbol{a}^{\\wedge} \\\\ &amp;+\\left(\\frac{\\mathrm{e}^\\sigma-1}{\\sigma}-\\frac{\\left(\\mathrm{e}^\\sigma\\cos\\theta-1\\right)\\sigma+\\left(\\mathrm{e}^\\sigma\\sin\\theta\\right)\\theta}{\\sigma^2+\\theta^2}\\right)\\boldsymbol{a}^\\wedge\\boldsymbol{a}^\\wedge. \\end{aligned} \\] <p>\u4e8e\u662f\uff0c\u674e\u4ee3\u6570\u4e0e\u674e\u7fa4\u7684\u5173\u7cfb:</p> \\[ s=\\mathrm{e}^\\sigma, R=\\exp(\\phi^\\wedge), t=J_s\\rho. \\] \\[ \\frac{\\partial\\boldsymbol{Sp}}{\\partial\\boldsymbol{\\zeta}}=\\begin{bmatrix}\\boldsymbol{I}&amp;-\\boldsymbol{q}^\\wedge&amp;\\boldsymbol{q}\\\\\\boldsymbol{0}^\\mathrm{T}&amp;\\boldsymbol{0}^\\mathrm{T}&amp;0\\end{bmatrix}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#47","title":"4.7 \u4e60\u9898","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#5","title":"5 \u76f8\u673a\u4e0e\u56fe\u50cf","text":"<ul> <li>\u89c2\u6d4b\u4e3b\u8981\u662f\u6307\u76f8\u673a\u6210\u50cf\u7684\u8fc7\u7a0b\u3002</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#51","title":"5.1 \u76f8\u673a\u6a21\u578b","text":"<ul> <li>\u9488\u5b54\u6a21\u578b</li> <li>\u900f\u955c\u4f1a\u4ea7\u751f\u7578\u53d8</li> <li>\u5185\u53c2\u6570\uff08Intrinsics\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#511","title":"5.1.1 \u9488\u5b54\u76f8\u673a\u6a21\u578b","text":"\\[ \\frac{Z}{f}=-\\frac{X}{X'}=-\\frac{Y}{Y'}. \\] <p>\u53bb\u6389\u8d1f\u53f7:</p> \\[ \\frac Zf=\\frac X{X^{\\prime}}=\\frac Y{Y^{\\prime}}. \\] \\[ \\begin{aligned}X'&amp;=f\\frac{X}{Z}\\\\Y'&amp;=f\\frac{Y}{Z}\\end{aligned}. \\] <p>\u8fd8\u6709\u4e00\u4e2a\u50cf\u7d20\u5750\u6807\u7cfb\uff0cu \u8f74\u4e0e x \u8f74\u5e73\u884c\uff0cv \u8f74\u4e0e y \u8f74\u5e73\u884c:</p> \\[ \\begin{cases}u=\\alpha X'+c_x\\\\[2ex]v=\\beta Y'+c_y\\end{cases}. \\] \\[ \\begin{cases}u=f_x\\frac{X}{Z}+c_x\\\\\\\\v=f_y\\frac{Y}{Z}+c_y\\end{cases}. \\] \\[ Z\\begin{pmatrix}u\\\\\\\\v\\\\\\\\1\\end{pmatrix}=\\begin{pmatrix}f_x&amp;0&amp;c_x\\\\0&amp;f_y&amp;c_y\\\\\\\\0&amp;0&amp;1\\end{pmatrix}\\begin{pmatrix}X\\\\\\\\Y\\\\\\\\Z\\end{pmatrix}\\overset{\\text{def}}{=}\\boldsymbol{KP}. \\] <p>\u6700\u4e2d\u95f4\u7684\u77e9\u9635\u79f0\u4e3a\u76f8\u673a\u7684\u5185\u53c2\u6570\uff08Camera Inrinsics\uff09\u77e9\u9635 \\(\\displaystyle \\boldsymbol{K}\\)\u3002 \u6807\u5b9a: \u786e\u5b9a\u76f8\u673a\u7684\u5185\u53c2</p> \\[ Z\\boldsymbol{P}_{uv}=Z\\begin{bmatrix}u\\\\\\\\v\\\\\\\\1\\end{bmatrix}=\\boldsymbol{K}\\left(\\boldsymbol{R}\\boldsymbol{P}_\\mathrm{w}+\\boldsymbol{t}\\right)=\\boldsymbol{K}\\boldsymbol{T}\\boldsymbol{P}_\\mathrm{w}. \\] <p>\u5176\u4e2d \\(\\displaystyle \\boldsymbol{R},\\boldsymbol{t}\\) \u53c8\u79f0\u4e3a\u76f8\u673a\u7684\u5916\u53c2\u6570\uff08Camera Extrinsics\uff09</p> \\[ (\\boldsymbol{RP_\\mathrm{w}}+\\boldsymbol{t})=\\underbrace{[X,Y,Z]^\\mathrm{T}}_{\\text{\u76f8\u673a\u5750\u6807}}\\to\\underbrace{[X/Z,Y/Z,1]^\\mathrm{T}}_{\\text{\u5f52\u4e00\u5316\u5750\u6807}} . \\] <ul> <li>\u5f52\u4e00\u5316\u5e73\u9762</li> <li>\u70b9\u7684\u6df1\u5ea6\u5728\u6295\u5f71\u8fc7\u7a0b\u4e2d\u88ab\u4e22\u5931\u4e86</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#512","title":"5.1.2 \u7578\u53d8\u6a21\u578b","text":"<ul> <li>\u7578\u53d8 (Distortion \u5931\u771f) \u5f84\u5411\u7578\u53d8<ul> <li>\u7b52\u5f62\u7578\u53d8</li> <li>\u6795\u5f62\u7578\u53d8 </li> </ul> </li> <li>\u5f84\u5411\u7578\u53d8\u5373 \\(\\displaystyle r\\) \u53d8\u5316</li> <li>\u5207\u5411\u7578\u53d8\u5373 \\(\\displaystyle \\theta\\) \u53d8\u5316 \u6211\u4eec\u53ef\u4ee5\u5047\u8bbe:</li> </ul> \\[ \\begin{align} x_{\\mathrm{distorted}}&amp;=x(1+k_1r^2+k_2r^4+k_3r^6) \\\\ y_{\\mathrm{distorted}}&amp;=y(1+k_1r^2+k_2r^4+k_3r^6). \\end{align} \\] \\[ \\begin{align} x_{\\mathrm{distorted}}&amp;=x+2p_1xy+p_2(r^2+2x^2) \\\\ y_{\\mathrm{distorted}}&amp;=y+p_1(r^2+2y^2)+2p_2xy \\end{align} \\] <p>\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u4e00\u4e2a\u70b9\u5728\u50cf\u7d20\u5e73\u9762\u4e0a\u7684\u6b63\u786e\u4f4d\u7f6e:</p> <ol> <li>\u5c06\u4e09\u7ef4\u7a7a\u95f4\u70b9\u6295\u5f71\u5230\u5f52\u4e00\u5316\u56fe\u50cf\u5e73\u9762\u3002\u8bbe\u5b83\u7684\u5f52\u4e00\u5316\u5750\u6807\u4e3a \\(\\displaystyle [x, y]^\\mathrm{T}\\)\u3002</li> <li>\u5bf9\u5f52\u4e00\u5316\u5e73\u9762\u4e0a\u7684\u70b9\u8ba1\u7b97\u5f84\u5411\u7578\u53d8\u548c\u5207\u5411\u7578\u53d8</li> </ol> \\[ \\begin{cases}x_\\text{distorted}=x(1+k_1r^2+k_2r^4+k_3r^6)+2p_1xy+p_2(r^2+2x^2)\\\\y_\\text{distorted}=y(1+k_1r^2+k_2r^4+k_3r^6)+p_1(r^2+2y^2)+2p_2xy\\end{cases} \\] <ol> <li>\u5c06\u7578\u53d8\u540e\u7684\u70b9\u901a\u8fc7\u5185\u53c2\u6570\u77e9\u9635\u6295\u5f71\u5230\u50cf\u7d20\u5e73\u9762\uff0c\u5f97\u5230\u8be5\u70b9\u5728\u56fe\u50cf\u4e0a\u7684\u6b63\u786e\u4f4d\u7f6e\u3002</li> </ol> \\[ \\begin{cases}u=f_xx_\\text{distorted}+c_x\\\\\\\\v=f_yy_\\text{distorted}+c_y\\end{cases}. \\] <p>\u8fd8\u6709\u5f88\u591a\u7684\u76f8\u673a\u6a21\u578b\u6bd4\u5982: \u4eff\u5c04\u6a21\u578b\uff0c\u900f\u89c6\u6a21\u578b\u3002</p> <p>\u603b\u7ed3\u4e00\u4e0b\u5355\u76ee\u76f8\u673a\u7684\u6210\u50cf\u8fc7\u7a0b:</p> <ol> <li>\u4e16\u754c\u5750\u6807\u7cfb\u4e0b\u6709\u4e00\u4e2a\u56fa\u5b9a\u7684\u70b9 \\(\\displaystyle P\\)\uff0c\u4e16\u754c\u5750\u6807\u4e3a \\(\\displaystyle \\boldsymbol{P}_{w}\\)\u3002</li> <li>\u7531\u4e8e\u76f8\u673a\u5728\u8fd0\u52a8\uff0c\u5b83\u7684\u8fd0\u52a8\u7531 \\(\\displaystyle \\boldsymbol{R},\\boldsymbol{t}\\) \u6216\u53d8\u6362\u77e9\u9635 \\(\\displaystyle \\boldsymbol{T}\\in SE(3)\\) \u63cf\u8ff0\u3002\\(\\displaystyle P\\) \u7684\u76f8\u673a\u5750\u6807\u4e3a \\(\\displaystyle \\tilde{P_{c}} = \\boldsymbol{R}\\boldsymbol{P}_{w}+\\boldsymbol{t}\\)\u3002</li> <li>\u8fd9\u65f6\u7684 \\(\\displaystyle \\tilde{\\boldsymbol{P}_{c}}\\) \u7684\u5206\u91cf\u662f \\(\\displaystyle X,Y,Z\\) \uff0c\u628a\u5b83\u4eec\u6295\u5f71\u5230\u5f52\u4e00\u5316\u5e73\u9762 \\(\\displaystyle Z = 1\\) \u4e0a\uff0c\u5f97\u5230 \\(\\displaystyle P\\) \u7684\u5f52\u4e00\u5316\u5750\u6807: \\(\\displaystyle \\boldsymbol{P}_{c} = \\left[ \\frac{X}{Z},   \\frac{Y}{Z}, 1 \\right]^\\mathrm{T}\\)\u3002</li> <li>\u6709\u7578\u53d8\u65f6\uff0c\u6839\u636e\u7578\u53d8\u53c2\u6570\u8ba1\u7b97 \\(\\displaystyle \\boldsymbol{P}_{c}\\) \u53d1\u751f\u7578\u53d8\u540e\u7684\u5750\u6807\u3002</li> <li>\\(\\displaystyle P\\) \u7684\u5f52\u4e00\u5316\u5750\u6807\u7ecf\u8fc7\u5185\u53c2\u540e\uff0c\u5bf9\u5e94\u5230\u5b83\u7684\u50cf\u7d20\u5750\u6807: \\(\\displaystyle \\boldsymbol{P}_{uv} = \\boldsymbol{K} \\boldsymbol{P}_{c}\\)\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#513","title":"5.1.3 \u53cc\u76ee\u76f8\u673a\u6a21\u578b","text":"<p> \u4e24\u8005\u4e4b\u95f4\u7684\u8ddd\u79bb\u79f0\u4e3a\u53cc\u76ee\u76f8\u673a\u7684\u57fa\u7ebf</p> \\[ z=\\frac{fb}{d},\\quad d\\stackrel{\\mathrm{def}}{=}u_{\\mathrm{L}}-u_{\\mathrm{R}}. \\] <ul> <li>d \u5b9a\u4e49\u4e3a\u5de6\u53f3\u56fe\u7684\u6a2a\u5750\u6807\u4e4b\u5dee\uff0c\u79f0\u4e3a\u89c6\u5dee\u3002<ul> <li>\u7531\u4e8e\u89c6\u5dee\u6700\u5c0f\u4e3a\u4e00\u4e2a\u50cf\u7d20\uff0c\u6240\u4ee5\u53cc\u76ee\u7684\u6df1\u5ea6\u5b58\u5728\u4e00\u4e2a\u7406\u8bba\u4e0a\u7684\u6700\u5927\u503c\u3002</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#514-rgb-d","title":"5.1.4 RGB-D \u76f8\u673a\u6a21\u578b","text":"<ul> <li>\u7ea2\u5916\u7ed3\u6784\u5149\uff08Structured lightning\uff09</li> <li>\u98de\u884c\u65f6\u95f4\uff08Time-of-Flight, ToF\uff09 </li> <li>ToF \u76f8\u673a\u53ef\u4ee5\u83b7\u5f97\u6574\u4e2a\u56fe\u50cf\u7684\u50cf\u7d20\u6df1\u5ea6</li> <li>\u8f93\u51fa\u5f69\u8272\u56fe\u548c\u6df1\u5ea6\u56fe\uff0c\u751f\u6210\u70b9\u4e91\uff08Point Cloud\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#52","title":"5.2 \u56fe\u50cf","text":"\\[ I(x,y):\\mathbb{R}^2\\mapsto\\mathbb{R}. \\] <ul> <li>channel</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#53","title":"5.3 \u5b9e\u8df5: \u8ba1\u7b97\u673a\u4e2d\u7684\u56fe\u50cf","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#531-opencv","title":"5.3.1 OpenCV \u7684\u57fa\u672c\u4f7f\u7528\u65b9\u6cd5","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#532","title":"5.3.2 \u56fe\u50cf\u53bb\u7578\u53d8","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#54-3-d","title":"5.4 \u5b9e\u8df5: 3 D \u89c6\u89c9","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#541","title":"5.4.1 \u53cc\u76ee\u89c6\u89c9","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#542-rgb-d","title":"5.4.2 RGB-D \u89c6\u89c9","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#55","title":"5.5 \u4e60\u9898","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#6","title":"6 \u975e\u7ebf\u6027\u4f18\u5316","text":"<p>\u524d\u9762\u6211\u4eec\u5df2\u7ecf\u641e\u6e05\u695a\u4e86\u8fd0\u52a8\u65b9\u7a0b\u548c\u89c2\u6d4b\u65b9\u7a0b\u7684\u6765\u6e90\uff0c\u73b0\u5728\u6211\u4eec\u5f00\u59cb\u8ba8\u8bba\u566a\u58f0\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#61","title":"6.1 \u72b6\u6001\u4f30\u8ba1\u95ee\u9898","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#611","title":"6.1.1 \u6279\u91cf\u72b6\u6001\u4f30\u8ba1\u4e0e\u6700\u5927\u540e\u9a8c\u4f30\u8ba1","text":"\\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right)+\\boldsymbol{w}_k\\\\\\boldsymbol{z}_{k,j}=h\\left(\\boldsymbol{y}_j,\\boldsymbol{x}_k\\right)+\\boldsymbol{v}_{k,j}\\end{cases}. \\] \\[ s\\boldsymbol{z}_{k,j}=\\boldsymbol{K}(R_k\\boldsymbol{y}_j+\\boldsymbol{t}_k). \\] <p>\u5176\u4e2d \\(\\displaystyle s\\) \u4e3a\u50cf\u7d20\u70b9\u7684\u8ddd\u79bb\u3002 \u6211\u4eec\u901a\u5e38\u5047\u8bbe\u566a\u58f0\u9879\u6ee1\u8db3\u96f6\u5747\u503c\u7684\u9ad8\u65af\u5206\u5e03:</p> \\[ \\boldsymbol{w}_k\\sim\\mathcal{N}\\left(\\boldsymbol{0},\\boldsymbol{R}_k\\right),\\boldsymbol{v}_k\\sim\\mathcal{N}\\left(\\boldsymbol{0},\\boldsymbol{Q}_{k,j}\\right). \\] <p>\u6709\u4e24\u79cd\u65b9\u6cd5\u6765\u89e3\u51b3\u72b6\u6001\u4f30\u8ba1\u95ee\u9898:</p> <ul> <li>\u7528\u65b0\u7684\u6570\u636e\u6765\u66f4\u65b0\u5f53\u524d\u65f6\u523b\u7684\u4f30\u8ba1\u72b6\u6001\uff0c\u589e\u91cf/\u6e10\u8fdb (incremental) \u7684\u65b9\u6cd5\uff0c\u6216\u8005\u6559\u6ee4\u6ce2\u5668</li> <li>\u4e5f\u53ef\u4ee5\u628a\u6570\u636e\u90fd\u6512\u8d77\u6765\uff0c\u79f0\u4e3a\u6279\u91cf (batch) \u7684\u65b9\u6cd5 SfM (Structure from Motion) \u7efc\u5408\u4e00\u4e0b\u5c31\u6709\u4e86\u6ed1\u52a8\u7a97\u53e3\u4f30\u8ba1\u6cd5</li> </ul> \\[ \\boldsymbol{x}=\\{\\boldsymbol{x}_1,\\ldots,\\boldsymbol{x}_N\\},\\quad\\boldsymbol{y}=\\{\\boldsymbol{y}_1,\\ldots,\\boldsymbol{y}_M\\}. \\] \\[ P(\\boldsymbol{x},\\boldsymbol{y}|z,\\boldsymbol{u}). \\] \\[ P\\left(\\boldsymbol{x},\\boldsymbol{y}|\\boldsymbol{z},\\boldsymbol{u}\\right)=\\frac{P\\left(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}\\right)P\\left(\\boldsymbol{x},\\boldsymbol{y}\\right)}{P\\left(\\boldsymbol{z},\\boldsymbol{u}\\right)}\\propto\\underbrace{P\\left(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}\\right)}_{\\text{\u4f3c\u7136}}\\underbrace{P\\left(\\boldsymbol{x},\\boldsymbol{y}\\right)}_{\\text{\u5148\u9a8c}}. \\] <p>\u53ef\u4ee5\u5148\u6c42\u4e00\u4e2a\u72b6\u6001\u6700\u4f18\u4f30\u8ba1:</p> \\[ (\\boldsymbol{x},\\boldsymbol{y})^*_{\\mathrm{MAP}}=\\arg\\max P(\\boldsymbol{x},\\boldsymbol{y}|\\boldsymbol{z},\\boldsymbol{u})=\\arg\\max P(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y})P(\\boldsymbol{x},\\boldsymbol{y}). \\] <p>\u6c42\u89e3\u6700\u5927\u540e\u9a8c\u6982\u7387\u7b49\u4ef7\u4e8e\u6700\u5927\u5316\u4f3c\u7136\u548c\u5148\u9a8c\u7684\u4e58\u79ef\u3002 \u4f46\u5982\u679c\u6ca1\u6709\u7684\u5148\u9a8c\uff0c\u90a3\u4e48\u53ef\u4ee5\u6c42\u89e3\u6700\u5927\u4f3c\u7136\u4f30\u8ba1 (Maximize Likelihood Estimation\uff0c MLE):</p> \\[ (\\boldsymbol{x},\\boldsymbol{y})^*{}_{\\mathrm{MLE}}=\\arg\\max P(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}). \\] <p>\u6700\u5927\u4f3c\u7136\u4f30\u8ba1: \u5728\u4ec0\u4e48\u6837\u7684\u72b6\u6001\u4e0b\uff0c\u6700\u53ef\u80fd\u4ea7\u751f\u73b0\u5728\u89c2\u6d4b\u5230\u7684\u6570\u636e\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#612","title":"6.1.2 \u6700\u5c0f\u4e8c\u4e58\u7684\u5f15\u51fa","text":"<p>\u5bf9\u4e8e\u67d0\u4e00\u6b21\u89c2\u6d4b:</p> \\[ z_{k,j}=h\\left(y_{j},x_{k}\\right)+v_{k,j}, \\] \\[ P(\\boldsymbol{z}_{j,k}|\\boldsymbol{x}_k,\\boldsymbol{y}_j)=N\\left(h(\\boldsymbol{y}_j,\\boldsymbol{x}_k),\\boldsymbol{Q}_{k,j}\\right). \\] <p>\u53ef\u4ee5\u4f7f\u7528\u6700\u5c0f\u5316\u8d1f\u5bf9\u6570\u6765\u6c42\u4e00\u4e2a\u9ad8\u65af\u5206\u5e03\u7684\u6700\u5927\u4f3c\u7136\u3002</p> \\[ P\\left(\\boldsymbol{x}\\right)=\\frac{1}{\\sqrt{\\left(2\\pi\\right)^{N}\\det\\left(\\boldsymbol{\\Sigma}\\right)}}\\exp\\left(-\\frac{1}{2}(\\boldsymbol{x}-\\boldsymbol{\\mu})^{\\mathrm{T}}\\boldsymbol{\\Sigma}^{-1}\\left(\\boldsymbol{x}-\\boldsymbol{\\mu}\\right)\\right). \\] \\[ -\\ln\\left(P\\left(\\boldsymbol{x}\\right)\\right)=\\frac12\\ln\\left(\\left(2\\pi\\right)^N\\det\\left(\\boldsymbol{\\Sigma}\\right)\\right)+\\frac12\\left(\\boldsymbol{x}-\\boldsymbol{\\mu}\\right)^\\mathrm{T}\\boldsymbol{\\Sigma}^{-1}\\left(\\boldsymbol{x}-\\boldsymbol{\\mu}\\right). \\] \\[ \\begin{aligned} (x_{k},y_{j})^{*}&amp; =\\arg\\max\\mathcal{N}(h(\\boldsymbol{y}_{j},\\boldsymbol{x}_{k}),\\boldsymbol{Q}_{k,j}) \\\\ &amp;=\\arg\\min\\left(\\left(\\boldsymbol{z}_{k,j}-h\\left(\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right)\\right)^\\mathrm{T}\\boldsymbol{Q}_{k,j}^{-1}\\left(\\boldsymbol{z}_{k,j}-h\\left(\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right)\\right)\\right). \\end{aligned} \\] <p>\u8be5\u5f0f\u7b49\u4ef7\u4e8e\u6700\u5c0f\u5316\u566a\u58f0\u9879\u7684\u4e00\u4e2a\u4e8c\u6b21\u578b\uff0c\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb (Mahalanobis distance)\u3002\u5176\u4e2d \\(\\displaystyle \\boldsymbol{Q}_{k,j}^{-1}\\) \u53eb\u4fe1\u606f\u77e9\u9635\uff0c\u5373\u9ad8\u65af\u5206\u5e03\u534f\u65b9\u5dee\u77e9\u9635\u4e4b\u9006\u3002 \u5047\u8bbe\u5404\u4e2a\u65f6\u523b\u7684\u8f93\u5165\u548c\u89c2\u6d4b\u90fd\u662f\u72ec\u7acb\u7684\uff0c\u90a3\u4e48:</p> \\[ P\\left(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}\\right)=\\prod_kP\\left(\\boldsymbol{u}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_k\\right)\\prod_{k,j}P\\left(\\boldsymbol{z}_{k,j}|\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right), \\] \\[ \\begin{align} e_{u,k} &amp;=\\boldsymbol{x}_k-f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right) \\\\ e_{z,j,k} &amp;=\\boldsymbol{z}_{k,j}-h\\left(\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right),  \\end{align} \\] \\[ \\min J(\\boldsymbol{x},\\boldsymbol{y})=\\sum_{k}\\boldsymbol{e}_{\\boldsymbol{u},k}^{\\mathrm{T}}\\boldsymbol{R}_{k}^{-1}\\boldsymbol{e}_{\\boldsymbol{u},k}+\\sum_{k}\\sum_{j}\\boldsymbol{e}_{\\boldsymbol{z},k,j}^{\\mathrm{T}}\\boldsymbol{Q}_{k,j}^{-1}\\boldsymbol{e}_{\\boldsymbol{z},k,j}. \\] <p>\u8fd9\u6837\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898 (Least Square Problem) </p> <ul> <li>\u6574\u4e2a\u95ee\u9898\u6709\u4e00\u79cd\u7a00\u758f\u7684\u5f62\u5f0f\u3002</li> <li>\u7528\u674e\u4ee3\u6570\u8868\u793a\u589e\u91cf\u4f1a\u6709\u65e0\u7ea6\u675f\u7684\u4f18\u52bf\u3002</li> <li>\u7528\u4e8c\u6b21\u578b\u5ea6\u91cf\u8bef\u5dee\uff0c\u90a3\u4e48\u8bef\u5dee\u7684\u5206\u5e03\u4f1a\u5f71\u54cd\u6b64\u9879\u5728\u6574\u4e2a\u95ee\u9898\u4e2d\u7684\u6743\u91cd\u3002 \u63a5\u4e0b\u4fe9\u8bb2\u4e00\u4e9b\u975e\u7ebf\u6027\u4f18\u5316\u7684\u57fa\u672c\u77e5\u8bc6\uff0c\u6765\u5e2e\u52a9\u6211\u4eec\u6c42\u89e3\u8fd9\u4e2a\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898\u3002</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#613","title":"6.1.3 \u4f8b\u5b50: \u6279\u91cf\u72b6\u6001\u4f30\u8ba1","text":"<p>\u8003\u8651\u4e00\u4e2a\u975e\u5e38\u7b80\u5355\u7684\u79bb\u6563\u65f6\u95f4\u7cfb\u7edf:</p> \\[ \\begin{aligned}&amp;x_{k}=x_{k-1}+u_{k}+w_{k},&amp;&amp;\\boldsymbol{w}_{k}\\sim\\mathcal{N}\\left(0,\\boldsymbol{Q}_{k}\\right)\\\\&amp;\\boldsymbol{z}_{k}=\\boldsymbol{x}_{k}+\\boldsymbol{n}_{k},&amp;&amp;\\boldsymbol{n}_{k}\\sim\\mathcal{N}\\left(0,\\boldsymbol{R}_{k}\\right)\\end{aligned} \\] \\[ \\begin{gathered} x_{map}^{*} =\\arg\\max P(\\boldsymbol{x}|\\boldsymbol{u},\\boldsymbol{z})=\\arg\\max P(\\boldsymbol{u},\\boldsymbol{z}|\\boldsymbol{x}) \\\\ =\\prod_{k=1}^3P(\\boldsymbol{u}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_k)\\prod_{k=1}^3P(\\boldsymbol{z}_k|\\boldsymbol{x}_k),  \\end{gathered} \\] <p>\u800c\u5bf9\u4e8e\u5177\u4f53\u7684\u6bcf\u4e00\u9879\uff0c\u6211\u4eec\u6709:</p> \\[ P(\\boldsymbol{u}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_k)=\\mathcal{N}(\\boldsymbol{x}_k-\\boldsymbol{x}_{k-1},\\boldsymbol{Q}_k), \\] \\[ P\\left(\\boldsymbol{z}_{k}|\\boldsymbol{x}_{k}\\right)=\\mathcal{N}\\left(\\boldsymbol{x}_{k},\\boldsymbol{R}_{k}\\right). \\] <p>\u4e8e\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u6784\u5efa\u8bef\u5dee\u53d8\u91cf:</p> \\[ e_{\\boldsymbol{u},k}=\\boldsymbol{x}_k-\\boldsymbol{x}_{k-1}-\\boldsymbol{u}_k,\\quad\\boldsymbol{e}_{z,k}=\\boldsymbol{z}_k-\\boldsymbol{x}_k, \\] <p>\u4e8e\u662f\u6700\u5c0f\u4e8c\u4e58\u7684\u76ee\u6807\u51fd\u6570\u4e3a:</p> \\[ \\min\\sum_{k=1}^{3}e_{u,k}^{\\mathrm{T}}Q_{k}^{-1}e_{u,k}+\\sum_{k=1}^{3}e_{z,k}^{\\mathrm{T}}R_{k}^{-1}e_{z,k}. \\] <p>\u5b9a\u4e49\u5411\u91cf \\(\\displaystyle \\boldsymbol{y} = [\\boldsymbol{u},\\boldsymbol{z}]^\\mathrm{T}\\)</p> \\[ y-Hx=e\\sim\\mathcal{N}(\\mathbf{0},\\boldsymbol{\\Sigma}). \\] \\[ H=\\begin{bmatrix}1&amp;-1&amp;0&amp;0\\\\0&amp;1&amp;-1&amp;0\\\\0&amp;0&amp;1&amp;-1\\\\\\hline0&amp;1&amp;0&amp;0\\\\0&amp;0&amp;1&amp;0\\\\0&amp;0&amp;0&amp;1\\end{bmatrix}, \\] <p>\u4e14 \\(\\displaystyle \\Sigma = diag(\\boldsymbol{Q_{1}},\\boldsymbol{Q_{2}},\\boldsymbol{Q_{3}},\\boldsymbol{R_{1}},\\boldsymbol{R_{2}},\\boldsymbol{R_{3}})\\)\u3002 \u95ee\u9898\u5c31\u8f6c\u5316\u6210:</p> \\[ x_{\\mathrm{map}}^*=\\arg\\min e^{\\mathrm{T}}\\Sigma^{-1}e, \\] <p>\u5b83\u7684\u552f\u4e00\u89e3\u662f:</p> \\[ x_{\\mathrm{map}}^{*}=(H^{\\mathrm{T}}\\Sigma^{-1}H)^{-1}H^{\\mathrm{T}}\\Sigma^{-1}y. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#62","title":"6.2 \u975e\u7ebf\u6027\u6700\u5c0f\u4e8c\u4e58","text":"<p>\u5148\u8003\u8651\u4e00\u4e2a\u7b80\u5355\u7684\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898:</p> \\[ \\min_{x}F(x)=\\frac12\\|f\\left(x\\right)\\|_{2}^{2}.` \\] <p>\u5bf9\u4e8e\u4e0d\u65b9\u4fbf\u76f4\u63a5\u6c42\u89e3\u7684\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u8fed\u4ee3\u7684\u65b9\u5f0f\uff0c\u4ece\u4e00\u4e2a\u521d\u59cb\u503c\u51fa\u53d1\uff0c\u4e0d\u65ad\u5730\u66f4\u65b0\u5f53\u524d\u7684\u4f18\u5316\u53d8\u91cf\uff0c\u4f7f\u76ee\u6807\u51fd\u6570\u4e0b\u964d:</p> <ol> <li>\u7ed9\u5b9a\u67d0\u4e2a\u521d\u59cb\u503c \\(\\displaystyle \\boldsymbol{x_{0}}\\)\u3002</li> <li>\u5bf9\u4e8e\u7b2c \\(\\displaystyle k\\) \u6b21\u8fed\u4ee3\uff0c\u5bfb\u627e\u4e00\u4e2a\u589e\u91cf \\(\\displaystyle \\Delta x_{k}\\)\uff0c\u4f7f\u5f97 \\(\\displaystyle \\left\\|f\\left(\\boldsymbol{x}_{k}+\\Delta\\boldsymbol{x}_{k}\\right)\\right\\|_{2}^{2}\\) \u8fbe\u5230\u6700\u5c0f\u503c\u3002</li> <li>\u82e5 \\(\\displaystyle \\Delta x_k\\) \u8db3\u591f\u5c0f\uff0c\u5219\u505c\u6b62\u3002</li> <li>\u5426\u5219\uff0c\u4ee4 \\(\\displaystyle x_{k+1} = x_{k} + \\Delta x_{k}\\)\uff0c\u8fd4\u56de\u7b2c\u4e8c\u6b65 \u4e8e\u662f\u6c42\u89e3\u5bfc\u51fd\u6570\u4e3a\u96f6 -&gt; \u5bfb\u627e\u4e0b\u964d\u589e\u91cf \\(\\displaystyle \\Delta x_{k}\\) </li> </ol> <p>\u4e0b\u9762\u662f\u4e00\u4e9b\u5e7f\u6cdb\u4f7f\u7528\u7684\u7ed3\u679c\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#621","title":"6.2.1 \u4e00\u9636\u548c\u4e8c\u9636\u68af\u5ea6\u6cd5","text":"<p>\u4f7f\u7528\u6cf0\u52d2\u5c55\u5f00:</p> \\[ F(\\boldsymbol{x}_k+\\Delta\\boldsymbol{x}_k)\\approx F(\\boldsymbol{x}_k)+\\boldsymbol{J}\\left(\\boldsymbol{x}_k\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}_k+\\frac{1}{2}\\Delta\\boldsymbol{x}_k^\\mathrm{T}\\boldsymbol{H}(\\boldsymbol{x}_k)\\Delta\\boldsymbol{x}_k. \\] <p>\u5176\u4e2d \\(\\displaystyle \\boldsymbol{J}(x_{k})\\) \u662f \\(\\displaystyle F(x)\\) \u5173\u4e8e \\(\\displaystyle x\\) \u7684\u4e00\u9636\u5bfc\u6570\uff08\u68af\u5ea6\u3001\u96c5\u53ef\u6bd4\u77e9\u9635\uff09\uff0c\\(\\displaystyle \\boldsymbol{H}\\) \u662f\u4e8c\u9636\u5bfc\u6570\uff08\u6d77\u585e\u77e9\u9635\uff09\u3002</p> \\[ \\Delta\\boldsymbol{x}^*=-\\boldsymbol{J}(\\boldsymbol{x}_k). \\] \\[ \\Delta\\boldsymbol{x}^*=\\arg\\min\\left(F\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}+\\frac{1}{2}\\Delta\\boldsymbol{x}^\\mathrm{T}\\boldsymbol{H}\\Delta\\boldsymbol{x}\\right). \\] <p>\u5bf9 \\(\\displaystyle \\Delta x\\) \u6c42\u5bfc\uff0c\u5e76\u4ee4\u5b83\u7b49\u4e8e\u96f6\uff0c\u5f97\u5230:</p> \\[ J+H\\Delta x=\\mathbf{0}\\Rightarrow H\\Delta x=-J. \\] <p>\u8fd9\u4e2a\u65b9\u6cd5\u53c8\u53eb\u725b\u987f\u6cd5\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#622","title":"6.2.2 \u9ad8\u65af\u725b\u987f\u6cd5","text":"<p>\u6362\u4e00\u4e2a\u51fd\u6570\u5c55\u5f00:</p> \\[ f\\left(x+\\Delta x\\right)\\approx f\\left(x\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}. \\] \\[ \\Delta x^{*}=\\arg\\min_{\\Delta x}\\frac{1}{2}\\Big\\|f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}\\Big\\|^{2}. \\] \\[ \\begin{aligned} \\frac12\\left\\|f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}\\right\\|^2&amp; =\\frac12\\Big(f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}\\Big)^\\mathrm{T}\\Big(f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}\\Big) \\\\ &amp;=\\frac12\\left(\\|f(\\boldsymbol{x})\\|_2^2+2f\\left(\\boldsymbol{x}\\right)\\boldsymbol{J}(\\boldsymbol{x})^\\intercal\\Delta\\boldsymbol{x}+\\Delta\\boldsymbol{x}^\\intercal\\boldsymbol{J}(\\boldsymbol{x})\\boldsymbol{J}(\\boldsymbol{x})^\\intercal\\Delta\\boldsymbol{x}\\right). \\end{aligned} \\] \\[ \\boldsymbol{J}(\\boldsymbol{x})f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}(\\boldsymbol{x})\\boldsymbol{J}^\\mathrm{T}\\left(\\boldsymbol{x}\\right)\\Delta\\boldsymbol{x}=\\boldsymbol{0}. \\] \\[ \\underbrace{\\boldsymbol{J}(\\boldsymbol{x})\\boldsymbol{J}^{\\intercal}}_{\\boldsymbol{H}(\\boldsymbol{x})}\\left(\\boldsymbol{x}\\right)\\Delta\\boldsymbol{x}=\\underbrace{-\\boldsymbol{J}(\\boldsymbol{x})f\\left(\\boldsymbol{x}\\right)}_{\\boldsymbol{g}(\\boldsymbol{x})}. \\] <p>\u589e\u91cf\u65b9\u7a0b or Gauss-Newton equation or Normal equation</p> \\[ H\\Delta x=g. \\] <p>\u6c42\u89e3\u589e\u91cf\u65b9\u7a0b\u662f\u6574\u4e2a\u4f18\u5316\u95ee\u9898\u7684\u6838\u5fc3\u6240\u5728 \u603b\u7ed3\u4e00\u4e0b:</p> <ol> <li>\u7ed9\u5b9a\u521d\u59cb\u503c \\(\\displaystyle \\boldsymbol{x}_{0}\\)\u3002</li> <li>\u5bf9\u4e8e\u7b2c \\(\\displaystyle k\\) \u6b21\u8fed\u4ee3\uff0c\u6c42\u89e3\u5f53\u524d\u7684\u96c5\u53ef\u6bd4\u77e9\u9635 \\(\\displaystyle \\boldsymbol{J}(x)\\) \u548c\u8bef\u5dee \\(\\displaystyle f(\\boldsymbol{x}_{k})\\)\u3002</li> <li>\u6c42\u89e3\u589e\u91cf\u65b9\u7a0b: \\(\\displaystyle \\boldsymbol{H} \\Delta x_{k} = \\boldsymbol{g}\\)\u3002</li> <li>\u82e5 \\(\\displaystyle \\Delta x_{k}\\) \u8db3\u591f\u5c0f\uff0c\u5219\u505c\u6b62\u3002\u5426\u5219\uff0c\u4ee4 \\(\\displaystyle x_{k+1} = x_{k}+ \\Delta x_{k}\\)\uff0c\u8fd4\u56de\u7b2c 2 \u6b65\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#623","title":"6.2.3 \u5217\u6587\u4f2f\u683c\u2014\u2014\u9a6c\u5938\u5c14\u7279\u65b9\u6cd5","text":"<p>Damped Newton Method Trust Region Trust Region Method</p> \\[ \\rho=\\frac{f\\left(\\boldsymbol{x}+\\Delta\\boldsymbol{x}\\right)-f\\left(\\boldsymbol{x}\\right)}{\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^{\\intercal}\\Delta\\boldsymbol{x}}. \\] <p>\u6846\u67b6:</p> <ol> <li>\u7ed9\u5b9a\u521d\u59cb\u503c \\(\\displaystyle \\boldsymbol{x}_{0}\\)\uff0c\u4ee5\u53ca\u521d\u59cb\u4f18\u5316\u534a\u5f84 \\(\\displaystyle \\mu\\)\u3002</li> <li>\u5bf9\u4e8e\u7b2c \\(\\displaystyle k\\) \u6b21\u8fed\u4ee3\uff0c\u5728\u9ad8\u65af\u725b\u987f\u6cd5\u7684\u57fa\u7840\u4e0a\u52a0\u4e0a\u4fe1\u8d56\u533a\u57df\uff0c\u6c42\u89e3: \\(\\displaystyle \\min_{\\Delta\\boldsymbol{x}_{k}}\\frac{1}{2}\\Big\\|f\\left(\\boldsymbol{x}_{k}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}_{k}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}_{k}\\Big\\|^{2},\\quad\\mathrm{s.t.}\\quad\\left\\|\\boldsymbol{D}\\Delta\\boldsymbol{x}_{k}\\right\\|^{2}\\leqslant\\mu,\\) </li> <li>\u8ba1\u7b97 \\(\\displaystyle \\rho\\)</li> <li>\u5bf9\u4e8e \\(\\displaystyle \\frac{1}{4}  \\frac{3}{4}\\) \u8fdb\u884c\u5206\u7c7b\u8ba8\u8bba</li> <li>\u5224\u65ad\u9608\u503c\uff0c\u5faa\u73af</li> </ol> <p>\u8fd9\u662f\u5e26\u4e0d\u7b49\u5f0f\u7ea6\u675f\u7684\u4f18\u5316\u95ee\u9898:</p> \\[ \\mathcal{L}(\\Delta\\boldsymbol{x}_{k},\\lambda)=\\frac{1}{2}\\left\\|f\\left(\\boldsymbol{x}_{k}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}_{k}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}_{k}\\right\\|^{2}+\\frac{\\lambda}{2}\\left(\\left\\|\\boldsymbol{D}\\Delta\\boldsymbol{x}_{k}\\right\\|^{2}-\\mu\\right). \\] \\[ (H+\\lambda D^\\mathrm{T}D) \\Delta x_k=g. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#63","title":"6.3 \u5b9e\u8df5: \u66f2\u7ebf\u62df\u5408\u95ee\u9898","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#631","title":"6.3.1 \u624b\u5199\u9ad8\u65af\u725b\u987f\u6cd5","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#632-ceres","title":"6.3.2 \u4f7f\u7528 Ceres \u8fdb\u884c\u66f2\u7ebf\u62df\u5408","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#633-g2o","title":"6.3.3 \u4f7f\u7528 g2o\u8fdb\u884c\u66f2\u7ebf\u62df\u5408","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#7-1","title":"7 \u89c6\u89c9\u91cc\u7a0b\u8ba1 1","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#71","title":"7.1 \u7279\u5f81\u70b9\u6cd5","text":"<ul> <li>\u7279\u5f81\u70b9\u6cd5<ul> <li>\u4e24\u89c6\u56fe\u51e0\u4f55\uff08Two-view geometry\uff09</li> </ul> </li> <li>\u76f4\u63a5\u6cd5</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#711","title":"7.1.1 \u7279\u5f81\u70b9","text":"<ul> <li>\u5982\u4f55\u6839\u636e\u56fe\u50cf\u4f30\u8ba1\u76f8\u673a\u8fd0\u52a8</li> <li>\u8def\u6807: \u56fe\u50cf\u7279\u5f81</li> <li>\u7279\u5f81\u70b9\u5728\u76f8\u673a\u8fd0\u52a8\u4e4b\u540e\u4fdd\u6301\u7a33\u5b9a<ul> <li>\u89d2\u70b9</li> </ul> </li> <li>\u4eba\u5de5\u8bbe\u8ba1\u7684\u7279\u5f81\u70b9:<ul> <li>Repeatability</li> <li>Distinctiveness</li> <li>Efficiency</li> <li>Locality</li> </ul> </li> <li>\u7531\u4e24\u90e8\u5206\u7ec4\u6210:<ul> <li>\u5173\u952e\u70b9\uff08Key-point\uff09</li> <li>\u63cf\u8ff0\u5b50\uff08Descriptor\uff09</li> </ul> </li> <li>SIFT (\u5c3a\u5ea6\u4e0d\u53d8\u7279\u5f81\u53d8\u6362\uff0cScale-Invariant Feature Transform)<ul> <li>\u8003\u8651\u5145\u5206\uff0c\u4f46\u662f\u8ba1\u7b97\u91cf\u6bd4\u8f83\u5927</li> </ul> </li> <li>ORB (Oriented FAST and Rotated BRIEF)</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#712-orb","title":"7.1.2 ORB \u7279\u5f81","text":"<ol> <li>FAST \u89d2\u70b9\u63d0\u53d6: ORB \u4e2d\u8ba1\u7b97\u4e86\u7279\u5f81\u70b9\u7684\u4e3b\u65b9\u5411\uff0c\u4e3a\u540e\u7eed\u7684 BRIEF \u63cf\u8ff0\u5b50\u589e\u52a0\u4e86\u65cb\u8f6c\u4e0d\u53d8\u7279\u6027</li> <li>BRIEF \u63cf\u8ff0\u5b50: \u5bf9\u524d\u4e00\u6b65\u63d0\u53d6\u51fa\u7279\u5f81\u70b9\u7684\u5468\u56f4\u56fe\u50cf\u533a\u57df\u8fdb\u884c\u63cf\u8ff0\u3002\u4f7f\u7528\u5148\u524d\u8ba1\u7b97\u7684\u65b9\u5411\u4fe1\u606f\u3002 - FAST \u5173\u952e\u70b9  Non-maximal suppression \u5c3a\u5ea6\u4e0d\u53d8\u6027\u7531\u6784\u5efa\u56fe\u50cf\u91d1\u5b57\u5854 \u7279\u5f81\u7684\u65cb\u8f6c: Intensity Centroid \u65cb\u8f6c\u65b9\u9762\uff0c\u6211\u4eec\u8ba1\u7b97\u7279\u5f81\u70b9\u9644\u8fd1\u7684\u56fe\u50cf\u7070\u5ea6\u8d28\u5fc3\u3002</li> <li>\u5b9a\u4e49\u56fe\u50cf\u7684\u77e9: \\(\\displaystyle m_{pq} = \\Sigma _{x,y \\in B} x^p x^q I(x, y),p,q \\in \\{0, 1\\}\\).</li> <li>\u627e\u5230\u56fe\u50cf\u5757\u7684\u8d28\u5fc3: \\(\\displaystyle C=\\left(\\frac{m_{10}}{m_{00}},\\frac{m_{01}}{m_{00}}\\right).\\)</li> <li>\u5f97\u5230\u4e00\u4e2a\u51e0\u4f55\u4e2d\u5fc3\u5230\u8d28\u5fc3\u7684\u65b9\u5411\u5411\u91cf: \\(\\displaystyle \\theta=\\arctan(m_{01}/m_{10}).\\) - BRIEF \u63cf\u8ff0\u5b50 \u4e8c\u8fdb\u5236\u8868\u8fbe+\u968f\u673a\u9009\u70b9\u6bd4\u8f83</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#713","title":"7.1.3 \u7279\u5f81\u5339\u914d","text":"<p>data association Brute-Force Matcher</p> <ul> <li>\u901a\u8fc7\u6d4b\u91cf\u63cf\u8ff0\u5b50\u7684\u8ddd\u79bb\u6765\u53bb\u6700\u8fd1\u7684\u4e00\u4e2a\u4f5c\u4e3a\u5339\u914d\u70b9\u3002\u63cf\u8ff0\u5b50\u8ddd\u79bb\u8868\u793a\u4e86\u4e24\u4e2a\u7279\u5f81\u4e4b\u95f4\u7684\u76f8\u4f3c\u7a0b\u5ea6\u3002<ul> <li>\u6b27\u6c0f\u8ddd\u79bb</li> <li>\u6c49\u660e\u8ddd\u79bb<ul> <li>\u4e24\u4e2a\u4e8c\u8fdb\u5236\u4e32\u7684\u4e0d\u540c\u4f4d\u6570\u7684\u4e2a\u6570</li> </ul> </li> </ul> </li> <li>\u5feb\u901f\u8fd1\u4f3c\u6700\u8fd1\u90bb\uff08FLANN\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#72","title":"7.2 \u5b9e\u8df5: \u7279\u5f81\u63d0\u53d6\u548c\u5339\u914d","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#721-opencv-orb","title":"7.2.1 OpenCV \u7684 ORB \u7279\u5f81","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#722-orb","title":"7.2.2 \u624b\u5199 ORB \u7279\u5f81","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#723","title":"7.2.3 \u8ba1\u7b97\u76f8\u673a\u8fd0\u52a8","text":"<ol> <li>\u5f53\u76f8\u673a\u4e3a\u5355\u76ee\u65f6\uff0c\u6211\u4eec\u901a\u8fc7\u5bf9\u6781\u51e0\u4f55\u6765\u89e3\u51b3\u4e24\u7ec4 2 D \u70b9\u4f30\u8ba1\u8fd0\u52a8\u7684\u95ee\u9898</li> <li>\u5f53\u76f8\u673a\u4e3a\u53cc\u76ee\u3001RGB-D \u65f6\uff0c\u901a\u8fc7 ICP \u6765\u89e3\u51b3\u4e24\u7ec4 3 D \u70b9\u4f30\u8ba1\u8fd0\u52a8\u7684\u95ee\u9898</li> <li>\u4e00\u4e2a\u662f 2 D \u4e00\u4e2a\u662f 3 D \u65f6\uff0c\u901a\u8fc7 PnP \u6765\u6c42\u89e3</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#73-d-2-d","title":"7.3 D-2 D: \u5bf9\u6781\u51e0\u4f55","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#731","title":"7.3.1 \u5bf9\u6781\u7ea6\u675f","text":"<ul> <li>Epipolar plane</li> <li>Epipoles</li> <li>Epipolar line </li> </ul> \\[ P=[X,Y,Z]^{\\mathrm{T}}. \\] \\[ s_{1}p_{1}=KP,\\quad s_{2}p_{2}=K\\left(RP+t\\right). \\] <p>\u6210\u6295\u5f71\u5173\u7cfb:\u5c3a\u5ea6\u610f\u4e49\u4e0b\u76f8\u7b49 (equal up to scale)</p> \\[ sp\\simeq p. \\] \\[ p_1\\simeq KP,\\quad p_2\\simeq K\\left(RP+t\\right). \\] \\[ x_1=K^{-1}p_1,\\quad x_2=K^{-1}p_2. \\] \\[ x_2\\simeq Rx_1+t. \\] \\[ t^{\\wedge}x_{2}\\simeq t^{\\wedge}Rx_{1}. \\] \\[ x_2^\\mathrm{T}t^\\wedge x_2\\simeq x_2^\\mathrm{T}t^\\wedge Rx_1. \\] \\[ x_2^\\mathrm{T}t^\\wedge Rx_1=0. \\] \\[ p_2^\\mathrm{T}K^{-\\mathrm{T}}t^\\wedge RK^{-1}p_1=0. \\] <p>\u5bf9\u6781\u7ea6\u675f</p> \\[ E=t^{\\wedge}R,\\quad F=K^{-\\mathrm{T}}EK^{-1},\\quad x_{2}^{\\mathrm{T}}Ex_{1}=p_{2}^{\\mathrm{T}}Fp_{1}=0. \\] <ol> <li>\u6839\u636e\u914d\u5bf9\u70b9\u7684\u50cf\u7d20\u4f4d\u7f6e\u6c42\u51fa \\(\\displaystyle \\boldsymbol{E}\\) \u6216\u8005 \\(\\displaystyle \\boldsymbol{F}\\)\u3002</li> <li>\u6839\u636e \\(\\displaystyle \\boldsymbol{E}\\) \u6216\u8005 \\(\\displaystyle \\boldsymbol{F}\\) \u6c42\u51fa \\(\\displaystyle \\boldsymbol{R},\\boldsymbol{t}\\)\u3002 \\(\\displaystyle \\boldsymbol{E}\\) \u548c \\(\\displaystyle \\boldsymbol{F}\\) \u53ea\u76f8\u5dee\u4e86\u76f8\u673a\u5185\u53c2\uff0c\u6240\u4ee5\u5b9e\u8df5\u4e2d\u5f80\u5f80\u4f7f\u7528\u5f62\u5f0f\u66f4\u7b80\u5355\u7684 \\(\\displaystyle \\boldsymbol{E}\\)\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#732","title":"7.3.2 \u672c\u8d28\u77e9\u9635","text":"<p>\u672c\u8d28\u77e9\u9635: \\(\\displaystyle E=t^{\\wedge}R\\)</p> <ul> <li>\\(\\displaystyle \\boldsymbol{E}\\) \u4e0d\u540c\u5c3a\u5ea6\u4e0b\u662f\u7b49\u4ef7\u7684\u3002</li> <li>\u53ef\u4ee5\u8bc1\u660e\uff0c\u672c\u8d28\u77e9\u9635 \\(\\displaystyle \\boldsymbol{E}\\) \u7684\u5947\u5f02\u503c\u5fc5\u5b9a\u662f \\(\\displaystyle [\\sigma,\\sigma,0]^\\mathrm{T}\\) \u7684\u5f62\u5f0f\uff0c\u8fd9\u79f0\u4e3a\u672c\u8d28\u77e9\u9635\u7684\u5185\u5728\u6027\u8d28\u3002</li> <li>\\(\\displaystyle \\boldsymbol{E}\\) \u5b9e\u9645\u4e0a\u6709 5 \u4e2a\u81ea\u7531\u5ea6\u3002 \u516b\u70b9\u6cd5 (Eight-point-algorithm) \u8003\u8651\u4e00\u5806\u914d\u5bf9\u70b9\uff0c\u5b83\u4eec\u7684\u5f52\u4e00\u5316\u5750\u6807\u4e3a \\(\\displaystyle x_{1}=[u_{1},v_{1},1]^{\\mathrm{T}},x_{2}=[u_{2},v_{2},1]^{\\mathrm{T}}\\)\u3002\u6839\u636e\u5bf9\u6781\u7ea6\u675f\uff0c\u6709</li> </ul> \\[ \\begin{pmatrix}u_2,v_2,1\\end{pmatrix}\\begin{pmatrix}e_1&amp;e_2&amp;e_3\\\\\\\\e_4&amp;e_5&amp;e_6\\\\\\\\e_7&amp;e_8&amp;e_9\\end{pmatrix}\\begin{pmatrix}u_1\\\\\\\\v_1\\\\\\\\1\\end{pmatrix}=0. \\] \\[ \\boldsymbol{e}=[e_1,e_2,e_3,e_4,e_5,e_6,e_7,e_8,e_9]^\\mathrm{T}, \\] \\[ [u_2u_1,u_2v_1,u_2,v_2u_1,v_2v_1,v_2,u_1,v_1,1]\\cdot e=0. \\] <p>\u6211\u4eec\u628a\u6240\u6709\u70b9\u90fd\u653e\u5230\u4e00\u4e2a\u65b9\u7a0b\u4e2d\uff0c\u53d8\u6210\u7ebf\u6027\u65b9\u7a0b\u7ec4:</p> \\[ \\begin{pmatrix}u_2^1u_1^1&amp;u_2^1v_1^1&amp;u_2^1&amp;v_2^1u_1^1&amp;v_2^1v_1^1&amp;v_2^1&amp;u_1^1&amp;v_1^1&amp;1\\\\u_2^2u_1^2&amp;u_2^2v_1^2&amp;u_2^2&amp;v_2^2u_1^2&amp;v_2^2v_1^2&amp;v_2^2&amp;u_1^2&amp;v_1^2&amp;1\\\\\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots\\\\u_2^8u_1^8&amp;u_2^8v_1^8&amp;u_2^8&amp;v_2^8u_1^8&amp;v_2^8u_1^8&amp;u_1^8&amp;v_1^8&amp;1\\end{pmatrix}\\begin{pmatrix}e_1\\\\e_2\\\\e_3\\\\e_4\\\\e_5\\\\e_6\\\\e_7\\\\e_8\\\\e_9\\end{pmatrix}=0. \\] \\[ E=U\\Sigma V^{\\mathrm{T}}, \\] \\[ \\begin{aligned}&amp;t_{1}^{\\wedge}=UR_{Z}(\\frac{\\pi}{2})\\Sigma U^{\\mathrm{T}},\\quad R_{1}=UR_{Z}^{\\mathrm{T}}(\\frac{\\pi}{2})V^{\\mathrm{T}}\\\\&amp;t_{2}^{\\wedge}=UR_{Z}(-\\frac{\\pi}{2})\\Sigma U^{\\mathrm{T}},\\quad R_{2}=UR_{Z}^{\\mathrm{T}}(-\\frac{\\pi}{2})V^{\\mathrm{T}}.\\end{aligned} \\] <p></p> \\[ \\boldsymbol{E}=\\boldsymbol{U}\\mathrm{diag}(\\frac{\\sigma_1+\\sigma_2}2,\\frac{\\sigma_1+\\sigma_2}2,0)\\boldsymbol{V}^\\mathrm{T}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#733","title":"7.3.3 \u5355\u5e94\u77e9\u9635","text":"<p>Homography</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#8-2","title":"8 \u89c6\u89c9\u91cc\u7a0b\u8ba1 2","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#81","title":"8.1 \u76f4\u63a5\u6cd5\u7684\u5f15\u51fa","text":"<ul> <li>\u7279\u5f81\u70b9\u6cd5\u7684\u7f3a\u70b9<ul> <li>\u5173\u952e\u70b9\u7684\u63d0\u53d6\u4e0e\u63cf\u8ff0\u5b50\u7684\u8ba1\u7b97\u975e\u5e38\u8017\u65f6</li> <li>\u4f7f\u7528\u7279\u5f81\u70b9\u65f6\uff0c\u4f1a\u5ffd\u7565\u9664\u7279\u5f81\u70b9\u4ee5\u5916\u7684\u6240\u6709\u4fe1\u606f</li> <li>\u76f8\u673a\u6709\u65f6\u4f1a\u8fd0\u52a8\u5230\u7279\u5f81\u7f3a\u5931\u7684\u5730\u65b9</li> </ul> </li> <li>\u90a3\u4e48\u5982\u4f55\u514b\u670d\u8fd9\u4e9b\u7f3a\u70b9<ul> <li>\u4fdd\u7559\u7279\u5f81\u70b9\uff0c\u4f46\u53ea\u8ba1\u7b97\u5173\u952e\u70b9\uff0c\u4e0d\u8ba1\u7b97\u63cf\u8ff0\u5b50\u3002\u4f7f\u7528\u5149\u6d41\u6cd5\uff08Optical Flow\uff09\u8ddf\u8e2a\u7279\u5f81\u70b9\u7684\u8fd0\u52a8</li> <li>\u53ea\u8ba1\u7b97\u5173\u952e\u70b9\uff0c\u4e0d\u8ba1\u7b97\u63cf\u8ff0\u5b50\u3002\u4f7f\u7528\u76f4\u63a5\u6cd5\uff08Direct Method\uff09</li> </ul> </li> <li>\u7b2c\u4e00\u79cd\u65b9\u6cd5\u4ecd\u7136\u4f7f\u7528\u7279\u5f81\u70b9\uff0c\u53ea\u662f\u628a\u5339\u914d\u63cf\u8ff0\u5b57\u66ff\u6362\u6210\u4e86\u5149\u6d41\u8ddf\u8e2a\uff0c\u4f30\u8ba1\u76f8\u673a\u8fd0\u52a8\u65f6\u4ecd\u7136\u662f\u54e6\u90a3\u4e2a\u5bf9\u6781\u51e0\u4f55\u3001PnP \u6216 ICP \u7b97\u6cd5\uff08\u5373\uff0c\u6211\u4eec\u9700\u8981\u63d0\u5230\u89d2\u70b9\uff09</li> <li>\u7279\u5f81\u70b9\u6cd5:\u901a\u8fc7\u6700\u5c0f\u5316\u91cd\u6295\u5f71\u8bef\u5dee\uff08Reprojection error\uff09\u4f18\u5316\u76f8\u673a\u8fd0\u52a8</li> <li>\u76f4\u63a5\u6cd5: \u901a\u8fc7\u6700\u5c0f\u5316\u5149\u5ea6\u8bef\u5dee\uff08Photometric error\uff09</li> <li>\u53ea\u8981\u573a\u666f\u4e2d\u5b58\u5728\u660e\u6697\u53d8\u5316\u5c31\u53ef\u4ee5\u5de5\u4f5c<ul> <li>\u7a20\u5bc6</li> <li>\u534a\u7a20\u5bc6</li> <li>\u7a00\u758f</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#82-d","title":"8.2 D \u5149\u6d41","text":"<ul> <li>\u8ba1\u7b97\u90e8\u5206\u50cf\u7d20\u8fd0\u52a8: \u7a00\u758f\u5149\u6d41<ul> <li>Lucas-Kanasde</li> </ul> </li> <li>\u8ba1\u7b97\u6240\u6709\u50cf\u7d20\u8fd0\u52a8: \u7a20\u5bc6\u5149\u6d41<ul> <li>Horn-Schunck Lucas-Kanade \u5149\u6d41</li> </ul> </li> <li>\u7070\u5ea6\u4e0d\u53d8\u5047\u8bbe: \u540c\u4e00\u4e2a\u7a7a\u95f4\u70b9\u7684\u50cf\u7d20\u7070\u5ea6\u503c\uff0c\u5728\u5404\u4e2a\u56fe\u50cf\u4e2d\u65f6\u56fa\u5b9a\u4e0d\u53d8\u7684</li> </ul> \\[ I(x+\\mathrm{d}x,y+\\mathrm{d}y,t+\\mathrm{d}t)=I(x,y,t). \\] \\[ \\boldsymbol{I}\\left(x+\\mathrm{d}x,y+\\mathrm{d}y,t+\\mathrm{d}t\\right)\\approx\\boldsymbol{I}\\left(x,y,t\\right)+\\frac{\\partial\\boldsymbol{I}}{\\partial x}\\mathrm{d}x+\\frac{\\partial\\boldsymbol{I}}{\\partial y}\\mathrm{d}y+\\frac{\\partial\\boldsymbol{I}}{\\partial t}\\mathrm{d}t. \\] \\[ \\frac{\\partial\\boldsymbol{I}}{\\partial x}\\frac{\\mathrm{d}x}{\\mathrm{d}t}+\\frac{\\partial\\boldsymbol{I}}{\\partial y}\\frac{\\mathrm{d}y}{\\mathrm{d}t}=-\\frac{\\partial\\boldsymbol{I}}{\\partial t}. \\] \\[ \\begin{bmatrix}I_x&amp;I_y\\end{bmatrix}\\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}=-I_t. \\] \\[ \\begin{bmatrix}I_x&amp;I_y\\end{bmatrix}_k\\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}=-I_{tk},\\quad k=1,\\ldots,w^2. \\] \\[ A\\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}=-b. \\] \\[ \\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}^*=-\\begin{pmatrix}\\boldsymbol{A}^\\mathrm{T}\\boldsymbol{A}\\end{pmatrix}^{-1}\\boldsymbol{A}^\\mathrm{T}\\boldsymbol{b}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#83-lk","title":"8.3 \u5b9e\u8df5: LK \u5149\u6d41","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#831-lk","title":"8.3.1 \u4f7f\u7528 LK \u5149\u6d41","text":"C++<pre><code>vector&lt;Point2f&gt; pt1, pt2;\nfor (auto &amp;kp: kp1) pt1.push_back(kp.pt);\nvector&lt;uchar&gt; status;\nvector&lt;float&gt; error;\ncv::calcOpticalFlowPyrLK(img1, img2, pt1, pt2, status, error);\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#832","title":"8.3.2 \u7528\u9ad8\u65af\u725b\u987f\u6cd5\u5b9e\u73b0\u5149\u6d41","text":"<p>\u5355\u5c42\u5149\u6d41 TODO</p> \\[ \\min_{\\Delta x,\\Delta y}\\left\\|\\boldsymbol{I}_1\\left(x,y\\right)-\\boldsymbol{I}_2\\left(x+\\Delta x,y+\\Delta y\\right)\\right\\|_2^2. \\] <p>\u591a\u5c42\u5149\u6d41 - \u7531\u7c97\u81f3\u7cbe\uff08Coarse-to-fine\uff09</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#833","title":"8.3.3 \u5149\u6d41\u5b9e\u8df5\u5c0f\u7ed3","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#84","title":"8.4 \u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#841","title":"8.4.1 \u76f4\u63a5\u6cd5\u7684\u63a8\u5bfc","text":"\\[ \\boldsymbol{p}_1=\\begin{bmatrix}u\\\\\\\\v\\\\\\\\1\\end{bmatrix}_1=\\frac{1}{Z_1}\\boldsymbol{K}\\boldsymbol{P}, \\] \\[ \\boldsymbol{p}_{2}=\\begin{bmatrix}u\\\\\\\\v\\\\\\\\1\\end{bmatrix}_{2}=\\frac{1}{Z_{2}}\\boldsymbol{K}\\left(\\boldsymbol{R}\\boldsymbol{P}+\\boldsymbol{t}\\right)=\\frac{1}{Z_{2}}\\boldsymbol{K}\\left(\\boldsymbol{T}\\boldsymbol{P}\\right)_{1:3}. \\] \\[ e=\\boldsymbol{I}_1\\left(\\boldsymbol{p}_1\\right)-\\boldsymbol{I}_2\\left(\\boldsymbol{p}_2\\right). \\] \\[ \\min_{T}J\\left(T\\right)=\\left\\|e\\right\\|^{2}. \\] \\[ \\min_{\\boldsymbol{T}}J\\left(\\boldsymbol{T}\\right)=\\sum_{i=1}^{N}e_{i}^{\\mathrm{T}}e_{i},\\quad e_{i}=\\boldsymbol{I}_{1}\\left(\\boldsymbol{p}_{1,i}\\right)-\\boldsymbol{I}_{2}\\left(\\boldsymbol{p}_{2,i}\\right). \\] \\[ \\begin{aligned}&amp;q=TP,\\\\&amp;\\boldsymbol{u}=\\frac{1}{Z_{2}}Kq.\\end{aligned} \\] \\[ e(T)=I_1(p_1)-I_2(u), \\] \\[ \\frac{\\partial e}{\\partial\\boldsymbol{T}}=\\frac{\\partial\\boldsymbol{I}_{2}}{\\partial\\boldsymbol{u}}\\frac{\\partial\\boldsymbol{u}}{\\partial\\boldsymbol{q}}\\frac{\\partial\\boldsymbol{q}}{\\partial\\delta\\boldsymbol{\\xi}}\\delta\\boldsymbol{\\xi}, \\] \\[ \\frac{\\partial\\boldsymbol{u}}{\\partial\\boldsymbol{q}}=\\begin{bmatrix}\\frac{\\partial u}{\\partial X}&amp;\\frac{\\partial u}{\\partial Y}&amp;\\frac{\\partial u}{\\partial Z}\\\\\\frac{\\partial v}{\\partial X}&amp;\\frac{\\partial v}{\\partial Y}&amp;\\frac{\\partial v}{\\partial Z}\\end{bmatrix}=\\begin{bmatrix}\\frac{f_x}{Z}&amp;0&amp;-\\frac{f_xX}{Z^2}\\\\0&amp;\\frac{f_y}{Z}&amp;-\\frac{f_yY}{Z^2}\\end{bmatrix}. \\] \\[ \\frac{\\partial\\boldsymbol{q}}{\\partial\\delta\\boldsymbol{\\xi}}=\\left[I,-\\boldsymbol{q}^{\\wedge}\\right]. \\] \\[ \\frac{\\partial\\boldsymbol{u}}{\\partial\\delta\\boldsymbol{\\xi}}=\\begin{bmatrix}\\frac{f_x}{Z}&amp;0&amp;-\\frac{f_xX}{Z^2}&amp;-\\frac{f_xXY}{Z^2}&amp;f_x+\\frac{f_xX^2}{Z^2}&amp;-\\frac{f_xY}{Z}\\\\0&amp;\\frac{f_y}{Z}&amp;-\\frac{f_yY}{Z^2}&amp;-f_y-\\frac{f_yY^2}{Z^2}&amp;\\frac{f_yXY}{Z^2}&amp;\\frac{f_yX}{Z}\\end{bmatrix}. \\] \\[ J=-\\frac{\\partial I_2}{\\partial u}\\frac{\\partial u}{\\partial\\delta\\xi}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#842","title":"8.4.2 \u76f4\u63a5\u6cd5\u7684\u8ba8\u8bba","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#85","title":"8.5 \u5b9e\u8df5: \u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#851","title":"8.5.1 \u5355\u5c42\u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#852","title":"8.5.2 \u591a\u5c42\u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#853","title":"8.5.3 \u7ed3\u679c\u8ba8\u8bba","text":"<ul> <li>Normalized Cross</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#854","title":"8.5.4 \u76f4\u63a5\u6cd5\u4f18\u7f3a\u70b9\u603b\u7ed3","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#9-1","title":"9 \u540e\u7aef 1","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#91","title":"9.1 \u6982\u8ff0","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#911","title":"9.1.1 \u72b6\u6001\u4f30\u8ba1\u7684\u6982\u7387\u89e3\u91ca","text":"<ul> <li>\u53ea\u4f7f\u7528\u8fc7\u53bb\u7684\u4fe1\u606f: \u6e10\u8fdb\u7684\uff08Incremental\uff09</li> <li>\u4f7f\u7528\u672a\u6765\u7684\u4fe1\u606f\u66f4\u65b0: \u6279\u91cf\u7684\uff08Batch\uff09</li> </ul> \\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right)+\\boldsymbol{w}_k\\\\\\boldsymbol{z}_{k,j}=h\\left(\\boldsymbol{y}_j,\\boldsymbol{x}_k\\right)+\\boldsymbol{v}_{k,j}\\end{cases}\\quad k=1,\\ldots,N, j=1,\\ldots,M. \\] <ul> <li>\u89c2\u6d4b\u65b9\u7a0b\u7684\u6570\u91cf\u4f1a\u8fdc\u8fdc\u5927\u4e8e\u8fd0\u52a8\u65b9\u7a0b</li> <li>\u5f53\u6ca1\u6709\u8fd0\u52a8\u65b9\u7a0b\u7684\u65f6\u5019\uff0c\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u76f8\u673a\u4e0d\u52a8\uff0c\u6216\u5047\u8bbe\u76f8\u673a\u5300\u901f\u8fd0\u52a8</li> <li>\u95ee\u9898\uff1a\u5f53\u5b58\u5728\u4e00\u4e9b\u8fd0\u52a8\u6570\u636e\u548c\u89c2\u6d4b\u6570\u636e\u65f6\uff0c\u6211\u4eec\u5982\u4f55\u4f30\u8ba1\u72b6\u6001\u91cf\u7684\u9ad8\u65af\u5206\u5e03</li> <li>\u8bef\u5dee\u65f6\u9010\u6e10\u7d2f\u79ef\u7684</li> <li>\u6700\u5927\u4f3c\u7136\u4f30\u8ba1: \u6279\u91cf\u72b6\u6001\u4f30\u8ba1\u95ee\u9898\u53ef\u4ee5\u8f6c\u5316\u4e3a\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u95ee\u9898\uff0c\u5e76\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\u8fdb\u884c\u6c42\u89e3</li> </ul> \\[ x_k\\stackrel{\\mathrm{def}}{=}\\{x_k,y_1,\\ldots,y_m\\}. \\] \\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right)+\\boldsymbol{w}_k\\\\\\boldsymbol{z}_k=h\\left(\\boldsymbol{x}_k\\right)+\\boldsymbol{v}_k\\end{cases}\\quad k=1,\\ldots,N. \\] \\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k}\\right)\\propto P\\left(\\boldsymbol{z}_k|\\boldsymbol{x}_k\\right)P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right). \\] <ul> <li>\u7b2c\u4e00\u9879\u79f0\u4e3a\u4f3c\u7136\uff0c\u7b2c\u4e8c\u9879\u79f0\u4e3a\u5148\u9a8c</li> </ul> \\[ P\\left(\\boldsymbol{x}_{k}|\\boldsymbol{x}_{0},\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=\\int P\\left(\\boldsymbol{x}_{k}|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_{0},\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)P\\left(\\boldsymbol{x}_{k-1}|\\boldsymbol{x}_{0},\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)\\mathrm{d}\\boldsymbol{x}_{k-1}. \\] <ul> <li>\u867d\u7136\u53ef\u4ee5\u7ee7\u7eed\u5bf9\u6b64\u5f0f\u8fdb\u884c\u5c55\u5f00\uff0c\u4f46\u6211\u4eec\u53ea\u5173\u5fc3 \\(\\displaystyle k\\) \u65f6\u523b\u548c \\(\\displaystyle k - 1\\) \u65f6\u523b\u7684\u60c5\u51b5<ul> <li>\u7b2c\u4e00\u79cd\u65b9\u6cd5\u662f\u5047\u8bbe\u9a6c\u5c14\u53ef\u592b\u6027: \u5373\u8ba4\u4e3a \\(\\displaystyle k\\) \u65f6\u523b\u72b6\u6001\u53ea\u4e0e \\(\\displaystyle k - 1\\) \u65f6\u523b\u72b6\u6001\u6709\u5173<ul> <li>\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u5f97\u5230\u4ee5\u6269\u5c55\u5361\u5c14\u66fc\u6ee4\u6ce2\uff08EKF\uff09\u4e3a\u4ee3\u8868\u7684\u6ee4\u6ce2\u5668\u65b9\u5f0f</li> </ul> </li> <li>\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u662f\u4f9d\u7136\u8003\u8651\u548c\u4e4b\u524d\u6240\u6709\u72b6\u6001\u7684\u5173\u7cfb\uff0c\u59ff\u52bf\u4f1a\u5f97\u5230\u975e\u7ebf\u6027\u4f18\u5316\u4e3a\u4e3b\u4f53\u7684\u4f18\u5316\u6846\u67b6\u3002</li> <li>\u4e3b\u6d41\u662f\u975e\u7ebf\u6027\u4f18\u5316</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#912-kf","title":"9.1.2 \u7ebf\u6027\u7cfb\u7edf\u548c KF","text":"\\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right). \\] \\[ P\\left(\\boldsymbol{x}_{k-1}|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=P\\left(\\boldsymbol{x}_{k-1}|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k-1},\\boldsymbol{z}_{1:k-1}\\right). \\] <ul> <li>\u6240\u4ee5\u6211\u4eec\u5b9e\u9645\u5728\u505a\u7684\u4e8b\u5982\u4f55\u628a \\(\\displaystyle k - 1\\) \u65f6\u523b\u7684\u72b6\u6001\u5206\u5e03\u63a8\u5bfc\u81f3 \\(\\displaystyle k\\) \u65f6\u523b<ul> <li>\u5373\u6211\u4eec\u53ea\u8981\u7ef4\u62a4\u4e00\u4e2a\u72b6\u6001\uff0c\u5e76\u4e0d\u65ad\u5730\u8fed\u4ee3\u66f4\u65b0<ul> <li>\u53ea\u8981\u7ef4\u62a4\u72b6\u6001\u91cf\u7684\u5747\u503c\u548c\u534f\u65b9\u5dee\uff08\u72b6\u6001\u91cf\u670d\u4ece\u9ad8\u65af\u5206\u5e03\uff09</li> </ul> </li> </ul> </li> </ul> \\[ \\begin{cases}x_k=A_kx_{k-1}+u_k+w_k\\\\z_k=C_kx_k+v_k\\end{cases}\\quad k=1,\\ldots,N. \\] \\[ w_k\\sim N(0,\\boldsymbol{R}).\\quad\\boldsymbol{v}_k\\sim N(\\boldsymbol{0},\\boldsymbol{Q}). \\] <ul> <li>\u4e0a\u5e3d\u5b50\u8868\u793a\u540e\u9a8c\uff0c\u4e0b\u5e3d\u5b50\u8868\u793a\u5148\u9a8c</li> </ul> \\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=N\\left(\\boldsymbol{A}_k\\hat{x}_{k-1}+\\boldsymbol{u}_k,\\boldsymbol{A}_k\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{A}_k^\\mathrm{T}+\\boldsymbol{R}\\right). \\] <ul> <li>\u8fd9\u4e00\u6b65\u79f0\u4e3a\u9884\u6d4b\uff08Predict\uff09</li> </ul> \\[ \\check{\\boldsymbol{x}}_k=\\boldsymbol{A}_k\\hat{\\boldsymbol{x}}_{k-1}+\\boldsymbol{u}_k,\\quad\\check{\\boldsymbol{P}}_k=A_k\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{A}_k^\\mathrm{T}+\\boldsymbol{R}. \\] \\[ P\\left(\\boldsymbol{z}_k|\\boldsymbol{x}_k\\right)=N\\left(\\boldsymbol{C}_k\\boldsymbol{x}_k,\\boldsymbol{Q}\\right). \\] <ul> <li>\u5982\u679c\u7ed3\u679c\u8bbe\u4e3a \\(\\displaystyle x_k\\sim N(\\hat{\\boldsymbol{x}}_k,\\hat{\\boldsymbol{P}}_k)\\)\uff0c\u90a3\u4e48</li> </ul> \\[ N(\\hat{\\boldsymbol{x}}_k,\\hat{\\boldsymbol{P}}_k)=\\eta N\\left(\\boldsymbol{C}_k\\boldsymbol{x}_k,\\boldsymbol{Q}\\right)\\cdot N(\\check{\\boldsymbol{x}}_k,\\check{\\boldsymbol{P}}_k). \\] \\[ (\\boldsymbol{x}_{k}-\\hat{\\boldsymbol{x}}_{k})^{\\mathrm{T}}\\hat{\\boldsymbol{P}}_{k}^{-1}\\left(\\boldsymbol{x}_{k}-\\hat{\\boldsymbol{x}}_{k}\\right)=\\left(\\boldsymbol{z}_{k}-\\boldsymbol{C}_{k}\\boldsymbol{x}_{k}\\right)^{\\mathrm{T}}\\boldsymbol{Q}^{-1}\\left(\\boldsymbol{z}_{k}-\\boldsymbol{C}_{k}\\boldsymbol{x}_{k}\\right)+\\left(\\boldsymbol{x}_{k}-\\check{\\boldsymbol{x}}_{k}\\right)^{\\mathrm{T}}\\boldsymbol{P}_{k}^{-1}\\left(\\boldsymbol{x}_{k}-\\check{\\boldsymbol{x}}_{k}\\right). \\] <ul> <li>\u4e8c\u6b21\u7cfb\u6570</li> </ul> \\[ \\hat{P}_k^{-1}=C_k^{\\mathrm{T}}Q^{-1}C_k+\\check{P}_k^{-1}. \\] <ul> <li>\u5b9a\u4e49\u4e00\u4e2a\u4e2d\u95f4\u53d8\u91cf</li> </ul> \\[ K=\\hat{P}_kC_k^{\\mathrm{T}}Q^{-1}. \\] \\[ I=\\hat{P}_{k}C_{k}^{\\mathrm{T}}Q^{-1}C_{k}+\\hat{P}_{k}\\check{P}_{k}^{-1}=KC_{k}+\\hat{P}_{k}\\check{P}_{k}^{-1}. \\] \\[ \\hat{P}_{k}=(I-KC_{k})\\check{P}_{k}. \\] <ul> <li>\u4e00\u6b21\u9879\u7cfb\u6570</li> </ul> \\[ -2\\hat{\\boldsymbol{x}}_k^\\mathrm{T}\\hat{\\boldsymbol{P}}_k^{-1}\\boldsymbol{x}_k=-2\\boldsymbol{z}_k^\\mathrm{T}\\boldsymbol{Q}^{-1}\\boldsymbol{C}_k\\boldsymbol{x}_k-2\\boldsymbol{\\dot{x}}_k^\\mathrm{T}\\check{\\boldsymbol{P}}_k^{-1}\\boldsymbol{x}_k. \\] \\[ \\hat{\\boldsymbol{P}}_k^{-1}\\hat{\\boldsymbol{x}}_k=\\boldsymbol{C}_k^\\mathrm{T}\\boldsymbol{Q}^{-1}\\boldsymbol{z}_k+\\check{\\boldsymbol{P}}_k^{-1}\\check{\\boldsymbol{x}}_k. \\] \\[ \\begin{aligned} \\hat{x}_{k}&amp; =\\hat{\\boldsymbol{P}}_k\\boldsymbol{C}_k^\\mathrm{T}\\boldsymbol{Q}^{-1}\\boldsymbol{z}_k+\\hat{\\boldsymbol{P}}_k\\check{\\boldsymbol{P}}_k^{-1}\\check{\\boldsymbol{x}}_k \\\\ &amp;=K\\boldsymbol{z}_k+\\left(\\boldsymbol{I}-\\boldsymbol{K}\\boldsymbol{C}_k\\right)\\check{\\boldsymbol{x}}_k=\\check{\\boldsymbol{x}}_k+\\boldsymbol{K}\\left(\\boldsymbol{z}_k-\\boldsymbol{C}_k\\check{\\boldsymbol{x}}_k\\right). \\end{aligned} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#913-ekf","title":"9.1.3 \u975e\u7ebf\u6027\u7cfb\u7edf\u548c EKF","text":"<ul> <li>\u6269\u5c55\u5361\u5c14\u66fc\u6ee4\u6ce2\u5668<ul> <li>\u5373\u628a\u975e\u9ad8\u65af\u5206\u5e03\u8fd1\u4f3c\u6210\u9ad8\u65af\u5206\u5e03</li> </ul> </li> </ul> \\[ \\boldsymbol{x}_k\\approx f\\left(\\hat{\\boldsymbol{x}}_{k-1},\\boldsymbol{u}_k\\right)+\\left.\\frac{\\partial f}{\\partial\\boldsymbol{x}_{k-1}}\\right|_{\\tilde{\\boldsymbol{x}}_{k-1}}\\left(\\boldsymbol{x}_{k-1}-\\hat{\\boldsymbol{x}}_{k-1}\\right)+\\boldsymbol{w}_k. \\] \\[ \\boldsymbol{F}=\\left.\\frac{\\partial f}{\\partial\\boldsymbol{x}_{k-1}}\\right|_{\\hat{\\boldsymbol{x}}_{k-1}}. \\] \\[ z_k\\approx h\\left(\\check{\\boldsymbol{x}}_k\\right)+\\left.\\frac{\\partial h}{\\partial\\boldsymbol{x}_k}\\right|_{\\dot{\\boldsymbol{x}}_k}\\left(\\boldsymbol{x}_k-\\check{\\boldsymbol{x}}_k\\right)+\\boldsymbol{n}_k. \\] \\[ H=\\left.\\frac{\\partial h}{\\partial\\boldsymbol{x}_k}\\right|_{\\check{\\boldsymbol{x}}_k}. \\] \\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{0:k-1}\\right)=N(f\\left(\\hat{\\boldsymbol{x}}_{k-1},\\boldsymbol{u}_k\\right),\\boldsymbol{F}\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{F}^\\mathrm{T}+\\boldsymbol{R}_k). \\] \\[ \\check{\\boldsymbol{x}}_k=f\\left(\\hat{\\boldsymbol{x}}_{k-1},\\boldsymbol{u}_k\\right),\\quad\\check{\\boldsymbol{P}}_k=\\boldsymbol{F}\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{F}^\\mathrm{T}+\\boldsymbol{R}_k. \\] \\[ P\\left(\\boldsymbol{z}_k|\\boldsymbol{x}_k\\right)=N(h\\left(\\check{\\boldsymbol{x}}_k\\right)+\\boldsymbol{H}\\left(\\boldsymbol{x}_k-\\check{\\boldsymbol{x}}_k\\right),Q_k). \\] <ul> <li>\u5b9a\u4e49\u4e00\u4e2a\u5361\u5c14\u66fc\u589e\u76ca \\(\\displaystyle \\boldsymbol{K}_{k}\\)</li> </ul> \\[ K_{k}=\\check{P}_{k}H^{\\mathrm{T}}(H\\check{P}_{k}H^{\\mathrm{T}}+Q_{k})^{-1}. \\] \\[ \\hat{\\boldsymbol{x}}_k=\\check{\\boldsymbol{x}}_k+\\boldsymbol{K}_k\\left(\\boldsymbol{z}_k-h\\left(\\check{\\boldsymbol{x}}_k\\right)\\right),\\hat{\\boldsymbol{P}}_k=\\left(\\boldsymbol{I}-\\boldsymbol{K}_k\\boldsymbol{H}\\right)\\check{\\boldsymbol{P}}_k. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#914-ekf","title":"9.1.4 EKF \u7684\u8ba8\u8bba","text":"<ul> <li>\u5c40\u9650<ul> <li>\u5047\u8bbe\u4e86\u9a6c\u5c14\u53ef\u592b\u6027\uff0c\u4f46\u662f\u975e\u7ebf\u6027\u4f18\u5316\u662f\u5168\u4f53\u65f6\u95f4\u4e0a\u7684 SLAM (Full-SLAM)</li> <li>\u6709\u975e\u7ebf\u6027\u8bef\u5dee\uff08\u4e3b\u8981\u95ee\u9898\u6240\u5728\uff09</li> <li>\u5982\u679c\u628a\u8def\u6807\u4e5f\u653e\u8fdb\u72b6\u6001\uff0c\u5b58\u4e0d\u4e0b</li> <li>\u6ca1\u6709\u5f02\u5e38\u68c0\u6d4b\u673a\u5236</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#92-ba","title":"9.2 BA \u4e0e\u56fe\u4f18\u5316","text":"<ul> <li>Bundle Adjustment<ul> <li>\u4ece\u89c6\u89c9\u56fe\u50cf\u4e2d\u63d0\u70bc\u51fa\u6700\u6709\u7684 3 D \u6a21\u578b\u548c\u76f8\u673a\u53c2\u6570\uff0c\u8ba9\u5149\u7ebf\u6700\u7ec8\u6536\u675f\u5230\u76f8\u673a\u7684\u5149\u5fc3</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#921-ba","title":"9.2.1 \u6295\u5f71\u6a21\u578b\u548c BA \u4ee3\u4ef7\u51fd\u6570","text":"\\[ P^{\\prime}=Rp+t=[X^{\\prime},Y^{\\prime},Z^{\\prime}]^\\mathrm{T}. \\] \\[ \\boldsymbol{P}_{\\mathrm{c}}=[u_{\\mathrm{c}},v_{\\mathrm{c}},1]^{\\mathrm{T}}=[X^{\\prime}/Z^{\\prime},Y^{\\prime}/Z^{\\prime},1]^{\\mathrm{T}}. \\] \\[ \\begin{cases}u_\\mathrm{c}'=u_\\mathrm{c}\\left(1+k_1r_\\mathrm{c}^2+k_2r_\\mathrm{c}^4\\right)\\\\v_\\mathrm{c}'=v_\\mathrm{c}\\left(1+k_1r_\\mathrm{c}^2+k_2r_\\mathrm{c}^4\\right)\\end{cases}. \\] \\[ \\begin{cases}u_s=f_xu_\\mathrm{c}'+c_x\\\\[2ex]v_s=f_yv_\\mathrm{c}'+c_y\\end{cases}. \\] \\[ z=h(\\boldsymbol{x},\\boldsymbol{y}). \\] \\[ e=z-h(\\boldsymbol{T},\\boldsymbol{p}). \\] \\[ z\\overset{\\mathrm{def}}{\\operatorname*{=}}[u_s,v_s]^\\mathrm{T} \\] \\[ \\frac12\\sum_{i=1}^m\\sum_{j=1}^n\\|e_{ij}\\|^2=\\frac12\\sum_{i=1}^m\\sum_{j=1}^n\\|z_{ij}-h(\\boldsymbol{T}_i,\\boldsymbol{p}_j)\\|^2. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#922-ba","title":"9.2.2 BA \u7684\u6c42\u89e3","text":"\\[ x=[T_1,\\ldots,T_m,p_1,\\ldots,p_n]^\\mathrm{T}. \\] \\[ \\frac12\\left\\|f(\\boldsymbol{x}+\\Delta\\boldsymbol{x})\\right\\|^2\\approx\\frac12\\sum_{i=1}^m\\sum_{j=1}^n\\left\\|\\boldsymbol{e}_{ij}+\\boldsymbol{F}_{ij}\\Delta\\boldsymbol{\\xi}_i+\\boldsymbol{E}_{ij}\\Delta\\boldsymbol{p}_j\\right\\|^2. \\] \\[ x_{\\mathfrak{c}}=[\\boldsymbol{\\xi}_1,\\boldsymbol{\\xi}_2,\\ldots,\\boldsymbol{\\xi}_m]^{\\mathrm{T}}\\in\\mathbb{R}^{6m} \\] \\[ \\boldsymbol{x}_p=[\\boldsymbol{p}_1,\\boldsymbol{p}_2,\\ldots,\\boldsymbol{p}_n]^\\mathrm{T}\\in\\mathbb{R}^{3n} \\] \\[ \\frac12\\left\\|f(\\boldsymbol{x}+\\Delta\\boldsymbol{x})\\right\\|^2=\\frac12\\left\\|\\boldsymbol{e}+\\boldsymbol{F}\\Delta\\boldsymbol{x}_c+\\boldsymbol{E}\\Delta\\boldsymbol{x}_p\\right\\|^2. \\] \\[ \\boldsymbol{J}=[\\boldsymbol{F}\\boldsymbol{E}]. \\] \\[ H=J^\\mathrm{T}J=\\begin{bmatrix}F^\\mathrm{T}F&amp;F^\\mathrm{T}E\\\\E^\\mathrm{T}F&amp;E^\\mathrm{T}E\\end{bmatrix}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#923","title":"9.2.3 \u7a00\u758f\u6027\u548c\u8fb9\u7f18\u5316","text":"\\[ J_{ij}(x)=\\left(\\mathbf{0}_{2\\times6},\\ldots\\mathbf{0}_{2\\times6},\\frac{\\partial\\boldsymbol{e}_{ij}}{\\partial\\boldsymbol{T}_{i}},\\mathbf{0}_{2\\times6},\\ldots\\mathbf{0}_{2\\times3},\\ldots\\mathbf{0}_{2\\times3},\\frac{\\partial\\boldsymbol{e}_{ij}}{\\partial\\boldsymbol{p}_{j}},\\mathbf{0}_{2\\times3},\\ldots\\mathbf{0}_{2\\times3}\\right). \\] \\[ H=\\sum_{i,j}J_{ij}^{\\top}J_{ij}, \\] \\[ H=\\begin{bmatrix}H_{11}&amp;H_{12}\\\\\\\\H_{21}&amp;H_{22}\\end{bmatrix}. \\] <ul> <li>\u5bf9\u4e8e\u7a00\u758f\u77e9\u9635\uff0c\u6211\u4eec\u7528 Schur \u6d88\u5143\uff08Marginalization\uff09</li> </ul> \\[ \\begin{bmatrix}B&amp;E\\\\E^\\mathrm{T}&amp;C\\end{bmatrix}\\begin{bmatrix}\\Delta x_\\mathrm{c}\\\\\\Delta x_p\\end{bmatrix}=\\begin{bmatrix}v\\\\w\\end{bmatrix}. \\] \\[ \\begin{bmatrix}I&amp;-EC^{-1}\\\\0&amp;I\\end{bmatrix}\\begin{bmatrix}B&amp;E\\\\E^{\\intercal}&amp;C\\end{bmatrix}\\begin{bmatrix}\\Delta x_\\mathrm{c}\\\\\\Delta x_p\\end{bmatrix}=\\begin{bmatrix}I&amp;-EC^{-1}\\\\0&amp;I\\end{bmatrix}\\begin{bmatrix}v\\\\w\\end{bmatrix}. \\] \\[ \\begin{bmatrix}B-EC^{-1}E^\\mathrm{T}&amp;0\\\\E^\\mathrm{T}&amp;C\\end{bmatrix}\\begin{bmatrix}\\Delta x_\\mathrm{c}\\\\\\Delta x_p\\end{bmatrix}=\\begin{bmatrix}v-EC^{-1}w\\\\\\\\w\\end{bmatrix}. \\] \\[ \\begin{bmatrix}B-EC^{-1}E^\\mathrm{T}\\end{bmatrix}\\Delta x_\\mathrm{c}=v-EC^{-1}w. \\] <ul> <li>\u4f18\u52bf<ul> <li>\\(\\displaystyle \\boldsymbol{C}\\) \u4e3a\u5bf9\u89d2\u5757\uff0c\u9006\u6bd4\u8f83\u5bb9\u6613\u89e3\u51fa</li> </ul> </li> <li>\u975e\u5bf9\u89d2\u7ebf\u4e0a\u7684\u975e\u96f6\u77e9\u9635\u5757\u8868\u793a\u5bf9\u5e94\u7684\u4e24\u4e2a\u76f8\u673a\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u5171\u540c\u89c2\u6d4b\u7684\u8def\u6807\u70b9\uff0c\u5373\u5171\u89c6\uff08Co-visibility\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#924","title":"9.2.4 \u9c81\u68d2\u6838\u51fd\u6570","text":"<ul> <li>Robust Kernel</li> </ul> \\[ H(e)=\\begin{cases}\\frac{1}{2}e^2&amp;\\text{\u5f53}|e|\\leqslant\\delta,\\\\\\\\\\delta\\left(|e|-\\frac{1}{2}\\delta\\right)&amp;\\text{\u5176\u4ed6}\\end{cases} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#93-ceres-ba","title":"9.3 \u5b9e\u8df5: Ceres BA","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#931-bal","title":"9.3.1 BAL \u6570\u636e\u96c6","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#932-ceres-ba","title":"9.3.2 Ceres BA \u7684\u4e66\u5199","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#94-g-2-o-ba","title":"9.4 \u5b9e\u8df5: g 2 o \u6c42\u89e3 BA","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#95","title":"9.5 \u5c0f\u7ed3","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#10-2","title":"10 \u540e\u7aef 2","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#11_1","title":"11 \u56de\u73af\u68c0\u6d4b","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#12_1","title":"12 \u5efa\u56fe","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#13-slam","title":"13 \u5b9e\u8df5: \u8bbe\u8ba1 SLAM \u7cfb\u7edf","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#14-slam","title":"14 SLAM: \u73b0\u5728\u4e0e\u672a\u6765","text":""}]}
\ No newline at end of file
+{"config":{"lang":["en"],"separator":"[\\s\\u200b\\u3000\\-\u3001\u3002\uff0c\uff0e\uff1f\uff01\uff1b]+","pipeline":["stemmer"]},"docs":[{"location":"","title":"Welcome to wnc's note!","text":"<p> \u7ea6 153 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p> \u670b\u53cb\u4eec! /   \u7ad9\u70b9\u7edf\u8ba1</p> <p>\u9875\u9762\u603b\u6570\uff1a58 \u603b\u5b57\u6570\uff1a63099 \u4ee3\u7801\u5757\u884c\u6570\uff1a13716 \u7f51\u7ad9\u8fd0\u884c\u65f6\u95f4\uff1a \u8bbf\u5ba2\u603b\u4eba\u6570\uff1a\u4eba \u603b\u8bbf\u95ee\u6b21\u6570\uff1a\u6b21"},{"location":"links/","title":"\u53cb\u94fe","text":"<p>Abstract</p> <p>\u670b\u53cb\u4eec\uff01</p> Wnc \u7684\u5496\u5561\u9986 \u6211\u81ea\u5df1\uff01 donotknow DoNotKnow"},{"location":"AI/","title":"Index","text":"<p> \u7ea6 15 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>EECS 498-007</li> <li>\u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5</li> <li>\u52a8\u624b\u5b66\u6df1\u5ea6\u5b66\u4e60</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/","title":"Dive into Deep Learning","text":"<p> \u7ea6 1547 \u4e2a\u5b57  387 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 10 \u5206\u949f</p>"},{"location":"AI/Dive%20into%20Deep%20Learning/#1","title":"1 \u5f15\u8a00","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#2","title":"2 \u9884\u5907\u77e5\u8bc6","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#21","title":"2.1 \u6570\u636e\u64cd\u4f5c","text":"<ul> <li>tensor</li> <li>ndarray (MXNet)</li> <li>Tensor (TensorFlow)</li> </ul> Python<pre><code>x = torch.arrange(12)\nx.shape\nx.numel()\nx.reshape(3, 4)\ntorch.zeros((2, 3, 4))\ntorch.ones((2, 3, 4))\ntorch.randn(3, 4)\n</code></pre> <ul> <li>elementwise\uff1a<ul> <li>+</li> <li>-</li> <li>-</li> <li>/</li> <li>exp ()</li> <li>==</li> </ul> </li> <li>concatenate</li> </ul> Python<pre><code>torch.cat((X, Y), dim = 0) # \u7ad6\u7740\u52a0\ntorch.cat((X, Y), dim = 1) # \u6a2a\u7740\u52a0\nx.sum()\n</code></pre> <ul> <li>broadcasting mechanism<ul> <li>\u590d\u5236\u62d3\u5c55\u5230\u5f62\u72b6\u4e00\u81f4\u540e\u76f8\u52a0</li> </ul> </li> <li>\u7d22\u5f15+\u5207\u7247</li> <li>\u5207\u7247\u4fdd\u6301\u5730\u5740\u4e0d\u53d8\uff1a\u8282\u7701\u5185\u5b58</li> <li>ndarry &lt;-&gt; Tensor</li> <li>item ()</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#22","title":"2.2 \u6570\u636e\u9884\u5904\u7406","text":"<ul> <li>pandas</li> <li>read_csv ()</li> <li>NaN<ul> <li>fillna (inputs.mean ())</li> <li>np.array (inputs. to_numpy (dtype = float))</li> </ul> </li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#23","title":"2.3 \u7ebf\u6027\u4ee3\u6570","text":"<ul> <li>scalar</li> <li>variable</li> <li>space</li> <li>element / component</li> <li>dimension <ul> <li>len ()</li> <li>shape</li> </ul> </li> <li>square matrix</li> <li>transpose<ul> <li>A.T</li> </ul> </li> <li>symmetric matrix<ul> <li>A == A.T</li> </ul> </li> <li>channel</li> <li>Hadamard product</li> </ul> \\[ \\begin{split}\\mathbf{A} \\odot \\mathbf{B} = \\begin{bmatrix} a_{11}  b_{11} &amp; a_{12}  b_{12} &amp; \\dots  &amp; a_{1n}  b_{1n} \\\\ a_{21}  b_{21} &amp; a_{22}  b_{22} &amp; \\dots  &amp; a_{2n}  b_{2n} \\\\ \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\ a_{m1}  b_{m1} &amp; a_{m2}  b_{m2} &amp; \\dots  &amp; a_{mn}  b_{mn} \\end{bmatrix}.\\end{split} \\] <ul> <li>A.sum (axis = 0) # \u7ad6\u7740\u6c42\u548c</li> <li>A.sum (axis = [0, 1]) = A.sum ()</li> <li>A.mean () = A.sum () / A.size ()</li> <li>A.cumsum (axis = 0)</li> <li>dot product<ul> <li>torch.dot (x, y) = torch.sum (x * y)</li> <li>weighted average</li> </ul> </li> <li>matrix-vector product<ul> <li>torch.mv (A, x)</li> </ul> </li> <li>matrix-matric multiplication<ul> <li>torch.mm (A, B)</li> </ul> </li> <li>norm<ol> <li>\\(f(\\alpha \\mathbf{x}) = |\\alpha| f(\\mathbf{x}).\\)</li> <li>\\((\\mathbf{x} + \\mathbf{y}) \\leq f(\\mathbf{x}) + f(\\mathbf{y}).\\)</li> <li>\\(f(\\mathbf{x}) \\geq 0.\\)</li> </ol> </li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#24","title":"2.4 \u5fae\u79ef\u5206","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#241","title":"2.4.1 \u5bfc\u6570\u548c\u5fae\u5206","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#242","title":"2.4.2 \u504f\u5bfc\u6570","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#243","title":"2.4.3 \u68af\u5ea6","text":"\\[ \\nabla_{\\mathbf{x}} f(\\mathbf{x}) = \\bigg[\\frac{\\partial f(\\mathbf{x})}{\\partial x_1}, \\frac{\\partial f(\\mathbf{x})}{\\partial x_2}, \\ldots, \\frac{\\partial f(\\mathbf{x})}{\\partial x_n}\\bigg]^\\top, \\] \\[ \\nabla_{\\mathbf{x}} \\mathbf{A} \\mathbf{x} = \\mathbf{A}^\\top \\] \\[ \\nabla_{\\mathbf{x}} \\mathbf{x}^\\top \\mathbf{A} = \\mathbf{A} \\] \\[ \\nabla_{\\mathbf{x}} \\mathbf{x}^\\top \\mathbf{A} \\mathbf{x} = (\\mathbf{A} + \\mathbf{A}^\\top)\\mathbf{x} \\] \\[ \\nabla_{\\mathbf{x}} \\|\\mathbf{x} \\|^2 = \\nabla_{\\mathbf{x}} \\mathbf{x}^\\top \\mathbf{x} = 2\\mathbf{x} \\] \\[ \\nabla_{\\mathbf{X}} \\|\\mathbf{X} \\|_F^2 = 2\\mathbf{X} \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#244","title":"2.4.4 \u94fe\u5f0f\u6cd5\u5219","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#245","title":"2.4.5 \u5c0f\u7ed3","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#25-automatic-differentiation","title":"2.5 \u81ea\u52a8\u5fae\u5206\uff08automatic differentiation\uff09","text":"<ul> <li>computational graph</li> <li>backpropagate</li> </ul> Python<pre><code>x.requires_grad_(True)  # \u7b49\u4ef7\u4e8ex=torch.arange(4.0,requires_grad=True)\nx.grad  # \u9ed8\u8ba4\u503c\u662fNone\ny = 2 * torch.dot(x, x)\ny.backward()\nx.grad\nx.grad == 4 * x\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#251","title":"2.5.1 \u975e\u6807\u91cf\u53d8\u91cf\u7684\u53cd\u5411\u4f20\u64ad","text":"Python<pre><code># \u5bf9\u975e\u6807\u91cf\u8c03\u7528backward\u9700\u8981\u4f20\u5165\u4e00\u4e2agradient\u53c2\u6570\uff0c\u8be5\u53c2\u6570\u6307\u5b9a\u5fae\u5206\u51fd\u6570\u5173\u4e8eself\u7684\u68af\u5ea6\u3002\n# \u672c\u4f8b\u53ea\u60f3\u6c42\u504f\u5bfc\u6570\u7684\u548c\uff0c\u6240\u4ee5\u4f20\u9012\u4e00\u4e2a1\u7684\u68af\u5ea6\u662f\u5408\u9002\u7684\nx.grad.zero_()\ny = x * x\n# \u7b49\u4ef7\u4e8ey.backward(torch.ones(len(x)))\ny.sum().backward()\nx.grad\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#252","title":"2.5.2 \u5206\u79bb\u8ba1\u7b97","text":"Python<pre><code>x.grad.zero_()\ny = x * x\nu = y.detach()\nz = u * x\n\nz.sum().backward()\nx.grad == u\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#26","title":"2.6 \u6982\u7387","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#261","title":"2.6.1 \u57fa\u672c\u6982\u7387\u8bba","text":"<ul> <li>sampling</li> <li>distribution</li> <li>multinomial distribution</li> </ul> Python<pre><code>fair_probs = torch.ones([6]) / 6\nmultinomial.Multinomial(10, fair_probs).sample() # \u591a\u4e2a\u6837\u672c\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#262","title":"2.6.2 \u5904\u7406\u591a\u4e2a\u968f\u673a\u53d8\u91cf","text":"<ul> <li>joint probability</li> <li>conditional probability</li> <li>Bayes\u2019 theorem</li> </ul> \\[ P(A \\mid B) = \\frac{P(B \\mid A) P(A)}{P(B)}.  \\] <ul> <li>\u5176\u4e2d P (A, B) \u662f\u4e00\u4e2a\u8054\u5408\u5206\u5e03 (joint distribution)\uff0c\u00a0P (A\u2223B) \u662f\u4e00\u4e2a\u6761\u4ef6\u5206\u5e03 (conditional distribution)</li> <li>marginalization<ul> <li>marginal probability</li> <li>marginal distribution</li> </ul> </li> <li>conditionally independent</li> </ul> <p>$$  P(A, B \\mid C) = P(A \\mid C)P(B \\mid C)  $$</p> \\[ A \\perp B \\mid C  \\] <ul> <li>expectation</li> </ul> \\[ E[X] = \\sum_{x} x P(X = x).  \\] \\[ E_{x \\sim P}[f(x)] = \\sum_x f(x) P(x).  \\] <ul> <li>standard deviation</li> </ul> \\[ \\mathrm{Var}[X] = E\\left[(X - E[X])^2\\right] = E[X^2] - E[X]^2.  \\] \\[ \\mathrm{Var}[f(x)] = E\\left[\\left(f(x) - E[f(x)]\\right)^2\\right].  \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#3","title":"3 \u7ebf\u6027\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#31","title":"3.1 \u7ebf\u6027\u56de\u5f52","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#311","title":"3.1.1 \u7ebf\u6027\u56de\u5f52\u7684\u57fa\u672c\u5143\u7d20","text":"<ul> <li>regression</li> <li>prediction / inference</li> <li>training set</li> <li>sample / data point / data instance</li> <li>label / target</li> <li>feature / covariate</li> </ul> \\[ \\mathrm{price} = w_{\\mathrm{area}} \\cdot \\mathrm{area} + w_{\\mathrm{age}} \\cdot \\mathrm{age} + b.  \\] <ul> <li>weight</li> <li>bias / offset / intercept</li> <li>affine transformation<ul> <li>linear transformation</li> <li>translation</li> </ul> </li> <li>model parameters</li> <li>loss function</li> </ul> \\[ l^{(i)}(\\mathbf{w}, b) = \\frac{1}{2} \\left(\\hat{y}^{(i)} - y^{(i)}\\right)^2. \\] \\[ L(\\mathbf{w}, b) =\\frac{1}{n}\\sum_{i=1}^n l^{(i)}(\\mathbf{w}, b) =\\frac{1}{n} \\sum_{i=1}^n \\frac{1}{2}\\left(\\mathbf{w}^\\top \\mathbf{x}^{(i)} + b - y^{(i)}\\right)^2. \\] \\[ \\mathbf{w}^*, b^* = \\operatorname*{argmin}_{\\mathbf{w}, b}\\  L(\\mathbf{w}, b). \\] \\[ \\mathbf{w}^{*} = (\\mathbf X^\\top \\mathbf X)^{-1}\\mathbf X^\\top \\mathbf{y}. \\] <ul> <li>analytical solution</li> <li>gradient descent<ul> <li>minibatch stochastic gradient descent</li> </ul> </li> </ul> \\[ (\\mathbf{w},b) \\leftarrow (\\mathbf{w},b) - \\frac{\\eta}{|\\mathcal{B}|} \\sum_{i \\in \\mathcal{B}} \\partial_{(\\mathbf{w},b)} l^{(i)}(\\mathbf{w},b). \\] <ol> <li>\u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\u7684\u503c\uff0c\u5982\u968f\u673a\u521d\u59cb\u5316</li> <li>\u4ece\u6570\u636e\u96c6\u4e2d\u968f\u673a\u62bd\u53d6\u5c0f\u6279\u91cf\u6837\u672c\u4e14\u5728\u8d1f\u68af\u5ea6\u7684\u65b9\u5411\u4e0a\u66f4\u65b0\u53c2\u6570\uff0c\u5e76\u4e0d\u65ad\u8fed\u4ee3\u8fd9\u4e00\u6b65\u9aa4 - hyperparameter<ul> <li>\\(|\\mathcal{B}|\\): batch size</li> <li>\\(\\eta\\): learning rate</li> <li>hyperparameter tuning</li> <li>validationg dataset</li> <li>generalization</li> </ul> </li> </ol>"},{"location":"AI/Dive%20into%20Deep%20Learning/#312","title":"3.1.2 \u77e2\u91cf\u5316\u52a0\u901f","text":"<ul> <li>\u77e2\u91cf\u5316\u4ee3\u7801</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#313","title":"3.1.3 \u6b63\u6001\u5206\u5e03\u4e0e\u5e73\u65b9\u635f\u5931","text":"<ul> <li>normal distribution / Gaussian distribution</li> </ul> \\[ p(x) = \\frac{1}{\\sqrt{2 \\pi \\sigma^2}} \\exp\\left(-\\frac{1}{2 \\sigma^2} (x - \\mu)^2\\right). \\] \\[ y = \\mathbf{w}^\\top \\mathbf{x} + b + \\epsilon, \\] <ul> <li>\u5176\u4e2d \\(\\epsilon \\sim \\mathcal{N}(0, \\sigma^2)\\). \u56e0\u6b64 y \u7684 likelihood:</li> </ul> \\[ P(y \\mid \\mathbf{x}) = \\frac{1}{\\sqrt{2 \\pi \\sigma^2}} \\exp\\left(-\\frac{1}{2 \\sigma^2} (y - \\mathbf{w}^\\top \\mathbf{x} - b)^2\\right). \\] \\[ P(\\mathbf y \\mid \\mathbf X) = \\prod_{i=1}^{n} p(y^{(i)}|\\mathbf{x}^{(i)}). \\] \\[ -\\log P(\\mathbf y \\mid \\mathbf X) = \\sum_{i=1}^n \\frac{1}{2} \\log(2 \\pi \\sigma^2) + \\frac{1}{2 \\sigma^2} \\left(y^{(i)} - \\mathbf{w}^\\top \\mathbf{x}^{(i)} - b\\right)^2. \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#314","title":"3.1.4 \u4ece\u7ebf\u6027\u56de\u5f52\u5230\u795e\u7ecf\u7f51\u7edc","text":"<ul> <li>feature dimensionality</li> <li>fully-connected layer / dense layer</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#32","title":"3.2 \u7ebf\u6027\u56de\u5f52\u7684\u4ece\u96f6\u5f00\u59cb\u5b9e\u73b0","text":"Python<pre><code>%matplotlib inline\nimport random\nimport torch\nfrom d2l import torch as d2l\ndef synthetic_data(w, b, num_examples):  #@save\n    \"\"\"\u751f\u6210y=Xw+b+\u566a\u58f0\"\"\"\n    X = torch.normal(0, 1, (num_examples, len(w)))\n    y = torch.matmul(X, w) + b\n    y += torch.normal(0, 0.01, y.shape)\n    return X, y.reshape((-1, 1))\n\ntrue_w = torch.tensor([2, -3.4])\ntrue_b = 4.2\nfeatures, labels = synthetic_data(true_w, true_b, 1000)\n\ndef data_iter(batch_size, features, labels):\n    num_examples = len(features)\n    indices = list(range(num_examples))\n    # \u8fd9\u4e9b\u6837\u672c\u662f\u968f\u673a\u8bfb\u53d6\u7684\uff0c\u6ca1\u6709\u7279\u5b9a\u7684\u987a\u5e8f\n    random.shuffle(indices)\n    for i in range(0, num_examples, batch_size):\n        batch_indices = torch.tensor(\n            indices[i: min(i + batch_size, num_examples)])\n        yield features[batch_indices], labels[batch_indices]\n\nw = torch.normal(0, 0.01, size=(2,1), requires_grad=True)\nb = torch.zeros(1, requires_grad=True)\n\ndef linreg(X, w, b):  #@save\n    \"\"\"\u7ebf\u6027\u56de\u5f52\u6a21\u578b\"\"\"\n    return torch.matmul(X, w) + b\n\ndef squared_loss(y_hat, y):  #@save\n    \"\"\"\u5747\u65b9\u635f\u5931\"\"\"\n    return (y_hat - y.reshape(y_hat.shape)) ** 2 / 2\n\ndef sgd(params, lr, batch_size):  #@save\n    \"\"\"\u5c0f\u6279\u91cf\u968f\u673a\u68af\u5ea6\u4e0b\u964d\"\"\"\n    with torch.no_grad():\n        for param in params:\n            param -= lr * param.grad / batch_size\n            param.grad.zero_()\n\nlr = 0.03\nnum_epochs = 3\nnet = linreg\nloss = squared_loss\n\nfor epoch in range(num_epochs):\n    for X, y in data_iter(batch_size, features, labels):\n        l = loss(net(X, w, b), y)  # X\u548cy\u7684\u5c0f\u6279\u91cf\u635f\u5931\n        # \u56e0\u4e3al\u5f62\u72b6\u662f(batch_size,1)\uff0c\u800c\u4e0d\u662f\u4e00\u4e2a\u6807\u91cf\u3002l\u4e2d\u7684\u6240\u6709\u5143\u7d20\u88ab\u52a0\u5230\u4e00\u8d77\uff0c\n        # \u5e76\u4ee5\u6b64\u8ba1\u7b97\u5173\u4e8e[w,b]\u7684\u68af\u5ea6\n        l.sum().backward()\n        sgd([w, b], lr, batch_size)  # \u4f7f\u7528\u53c2\u6570\u7684\u68af\u5ea6\u66f4\u65b0\u53c2\u6570\n    with torch.no_grad():\n        train_l = loss(net(features, w, b), labels)\n        print(f'epoch {epoch + 1}, loss {float(train_l.mean()):f}')\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#33","title":"3.3 \u7ebf\u6027\u56de\u5f52\u7684\u7b80\u6d01\u5b9e\u73b0","text":"Python<pre><code>import numpy as np\nimport torch\nfrom torch.utils import data\nfrom d2l import torch as d2l\n\ntrue_w = torch.tensor([2, -3.4])\ntrue_b = 4.2\nfeatures, labels = d2l.synthetic_data(true_w, true_b, 1000) # \u751f\u6210\u6570\u636e\u96c6\n\ndef load_array(data_arrays, batch_size, is_train=True):  #@save\n    \"\"\"\u6784\u9020\u4e00\u4e2aPyTorch\u6570\u636e\u8fed\u4ee3\u5668\"\"\"\n    dataset = data.TensorDataset(*data_arrays)\n    return data.DataLoader(dataset, batch_size, shuffle=is_train)\n\nbatch_size = 10\ndata_iter = load_array((features, labels), batch_size) # \u8bfb\u53d6\u6570\u636e\u96c6\n\n# nn\u662f\u795e\u7ecf\u7f51\u7edc\u7684\u7f29\u5199\nfrom torch import nn\n\nnet = nn.Sequential(nn.Linear(2, 1)) # \u5b9a\u4e49\u6a21\u578b \uff08\u8f93\u5165\uff0c\u8f93\u51fa\uff09\u7279\u5f81\u5f62\u72b6\nnet[0].weight.data.normal_(0, 0.01)\nnet[0].bias.data.fill_(0) # \u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\nloss = nn.MSELoss() # \u5b9a\u4e49\u635f\u5931\u51fd\u6570\ntrainer = torch.optim.SGD(net.parameters(), lr=0.03) # \u5b9a\u4e49\u4f18\u5316\u7b97\u6cd5\n\n# \u8bad\u7ec3\nnum_epochs = 3\nfor epoch in range(num_epochs):\n    for X, y in data_iter:\n        l = loss(net(X) ,y)\n        trainer.zero_grad()\n        l.backward()\n        trainer.step()\n    l = loss(net(features), labels)\n    print(f'epoch {epoch + 1}, loss {l:f}')\n\nw = net[0].weight.data\nprint('w\u7684\u4f30\u8ba1\u8bef\u5dee\uff1a', true_w - w.reshape(true_w.shape))\nb = net[0].bias.data\nprint('b\u7684\u4f30\u8ba1\u8bef\u5dee\uff1a', true_b - b)\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#34-softmax","title":"3.4 softmax \u56de\u5f52","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#341","title":"3.4.1 \u5206\u7c7b\u95ee\u9898","text":"<ul> <li>one-hot encoding</li> </ul> \\[ y \\in \\{(1, 0, 0), (0, 1, 0), (0, 0, 1)\\}. \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#342","title":"3.4.2 \u7f51\u7edc\u67b6\u6784","text":"<ul> <li>affine function</li> <li>logit</li> </ul> \\[ \\begin{split}\\begin{aligned} o_1 &amp;= x_1 w_{11} + x_2 w_{12} + x_3 w_{13} + x_4 w_{14} + b_1,\\\\ o_2 &amp;= x_1 w_{21} + x_2 w_{22} + x_3 w_{23} + x_4 w_{24} + b_2,\\\\ o_3 &amp;= x_1 w_{31} + x_2 w_{32} + x_3 w_{33} + x_4 w_{34} + b_3. \\end{aligned}\\end{split} \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#343","title":"3.4.3 \u5168\u8fde\u63a5\u5c42\u7684\u53c2\u6570\u5f00\u9500","text":"<ul> <li>\u4e0d\u77e5\u9053\u662f\u4ec0\u4e48\u4e1c\u897f</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#344-softmax","title":"3.4.4 softmax \u8fd0\u7b97","text":"<ul> <li>calibration</li> <li>choice model</li> </ul> \\[ \\hat{\\mathbf{y}} = \\mathrm{softmax}(\\mathbf{o})\\quad \\text{\u5176\u4e2d}\\quad \\hat{y}_j = \\frac{\\exp(o_j)}{\\sum_k \\exp(o_k)} \\] \\[ \\operatorname*{argmax}_j \\hat y_j = \\operatorname*{argmax}_j o_j. \\] <ul> <li>linear model</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#345","title":"3.4.5 \u5c0f\u6279\u6837\u672c\u7684\u77e2\u91cf\u5316","text":"\\[ \\begin{split}\\begin{aligned} \\mathbf{O} &amp;= \\mathbf{X} \\mathbf{W} + \\mathbf{b}, \\\\ \\hat{\\mathbf{Y}} &amp; = \\mathrm{softmax}(\\mathbf{O}). \\end{aligned}\\end{split} \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#346","title":"3.4.6 \u635f\u5931\u51fd\u6570","text":"\\[ P(\\mathbf{Y} \\mid \\mathbf{X}) = \\prod_{i=1}^n P(\\mathbf{y}^{(i)} \\mid \\mathbf{x}^{(i)}). \\] \\[ -\\log P(\\mathbf{Y} \\mid \\mathbf{X}) = \\sum_{i=1}^n -\\log P(\\mathbf{y}^{(i)} \\mid \\mathbf{x}^{(i)}) = \\sum_{i=1}^n l(\\mathbf{y}^{(i)}, \\hat{\\mathbf{y}}^{(i)}), \\] \\[ l(\\mathbf{y}, \\hat{\\mathbf{y}}) = - \\sum_{j=1}^q y_j \\log \\hat{y}_j. \\] <ul> <li>cross-entropy loss</li> </ul> \\[ \\begin{split}\\begin{aligned} l(\\mathbf{y}, \\hat{\\mathbf{y}}) &amp;=  - \\sum_{j=1}^q y_j \\log \\frac{\\exp(o_j)}{\\sum_{k=1}^q \\exp(o_k)} \\\\ &amp;= \\sum_{j=1}^q y_j \\log \\sum_{k=1}^q \\exp(o_k) - \\sum_{j=1}^q y_j o_j\\\\ &amp;= \\log \\sum_{k=1}^q \\exp(o_k) - \\sum_{j=1}^q y_j o_j. \\end{aligned}\\end{split} \\] \\[ \\partial_{o_j} l(\\mathbf{y}, \\hat{\\mathbf{y}}) = \\frac{\\exp(o_j)}{\\sum_{k=1}^q \\exp(o_k)} - y_j = \\mathrm{softmax}(\\mathbf{o})_j - y_j. \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#347","title":"3.4.7 \u4fe1\u606f\u8bba\u57fa\u7840","text":"<ul> <li>information theory</li> <li>entropy</li> </ul> \\[ H[P] = \\sum_j - P(j) \\log P(j). \\]"},{"location":"AI/Dive%20into%20Deep%20Learning/#348","title":"3.4.8 \u6a21\u578b\u9884\u6d4b\u548c\u8bc4\u4f30","text":"<ul> <li>accuracy</li> </ul>"},{"location":"AI/Dive%20into%20Deep%20Learning/#35","title":"3.5 \u56fe\u50cf\u5206\u7c7b\u6570\u636e\u96c6","text":"Python<pre><code>%matplotlib inline\nimport torch\nimport torchvision\nfrom torch.utils import data\nfrom torchvision import transforms\nfrom d2l import torch as d2l\n\nd2l.use_svg_display()\n\n# \u901a\u8fc7ToTensor\u5b9e\u4f8b\u5c06\u56fe\u50cf\u6570\u636e\u4ecePIL\u7c7b\u578b\u53d8\u6362\u621032\u4f4d\u6d6e\u70b9\u6570\u683c\u5f0f\uff0c\n# \u5e76\u9664\u4ee5255\u4f7f\u5f97\u6240\u6709\u50cf\u7d20\u7684\u6570\u503c\u5747\u57280\uff5e1\u4e4b\u95f4\ntrans = transforms.ToTensor()\nmnist_train = torchvision.datasets.FashionMNIST(\n    root=\"../data\", train=True, transform=trans, download=True)\nmnist_test = torchvision.datasets.FashionMNIST(\n    root=\"../data\", train=False, transform=trans, download=True)\n\ndef get_fashion_mnist_labels(labels):  #@save\n    \"\"\"\u8fd4\u56deFashion-MNIST\u6570\u636e\u96c6\u7684\u6587\u672c\u6807\u7b7e\"\"\"\n    text_labels = ['t-shirt', 'trouser', 'pullover', 'dress', 'coat',\n                   'sandal', 'shirt', 'sneaker', 'bag', 'ankle boot']\n    return [text_labels[int(i)] for i in labels]\n\ndef show_images(imgs, num_rows, num_cols, titles=None, scale=1.5):  #@save\n    \"\"\"\u7ed8\u5236\u56fe\u50cf\u5217\u8868\"\"\"\n    figsize = (num_cols * scale, num_rows * scale)\n    _, axes = d2l.plt.subplots(num_rows, num_cols, figsize=figsize)\n    axes = axes.flatten()\n    for i, (ax, img) in enumerate(zip(axes, imgs)):\n        if torch.is_tensor(img):\n            # \u56fe\u7247\u5f20\u91cf\n            ax.imshow(img.numpy())\n        else:\n            # PIL\u56fe\u7247\n            ax.imshow(img)\n        ax.axes.get_xaxis().set_visible(False)\n        ax.axes.get_yaxis().set_visible(False)\n        if titles:\n            ax.set_title(titles[i])\n    return axes\n\nbatch_size = 256\n\ndef get_dataloader_workers():  #@save\n    \"\"\"\u4f7f\u75284\u4e2a\u8fdb\u7a0b\u6765\u8bfb\u53d6\u6570\u636e\"\"\"\n    return 4\n\ntrain_iter = data.DataLoader(mnist_train, batch_size, shuffle=True,\n                             num_workers=get_dataloader_workers())\n\ndef load_data_fashion_mnist(batch_size, resize=None):  #@save\n    \"\"\"\u4e0b\u8f7dFashion-MNIST\u6570\u636e\u96c6\uff0c\u7136\u540e\u5c06\u5176\u52a0\u8f7d\u5230\u5185\u5b58\u4e2d\"\"\"\n    trans = [transforms.ToTensor()]\n    if resize:\n        trans.insert(0, transforms.Resize(resize))\n    trans = transforms.Compose(trans)\n    mnist_train = torchvision.datasets.FashionMNIST(\n        root=\"../data\", train=True, transform=trans, download=True)\n    mnist_test = torchvision.datasets.FashionMNIST(\n        root=\"../data\", train=False, transform=trans, download=True)\n    return (data.DataLoader(mnist_train, batch_size, shuffle=True,\n                            num_workers=get_dataloader_workers()),\n            data.DataLoader(mnist_test, batch_size, shuffle=False,\n                            num_workers=get_dataloader_workers()))\n\ntrain_iter, test_iter = load_data_fashion_mnist(32, resize=64)\nfor X, y in train_iter:\n    print(X.shape, X.dtype, y.shape, y.dtype)\n    break\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#36-softmax","title":"3.6 softmax \u56de\u5f52\u7684\u4ece\u96f6\u5f00\u59cb\u5b9e\u73b0","text":"Python<pre><code>import torch\nfrom IPython import display\nfrom d2l import torch as d2l\n\nbatch_size = 256\ntrain_iter, test_iter = d2l.load_data_fashion_mnist(batch_size)\n\nnum_inputs = 784\nnum_outputs = 10\n\nW = torch.normal(0, 0.01, size=(num_inputs, num_outputs), requires_grad=True)\nb = torch.zeros(num_outputs, requires_grad=True) # \u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\n\nX = torch.tensor([[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]])\nX.sum(0, keepdim=True), X.sum(1, keepdim=True) \n\ndef softmax(X):\n    X_exp = torch.exp(X)\n    partition = X_exp.sum(1, keepdim=True)\n    return X_exp / partition  # \u8fd9\u91cc\u5e94\u7528\u4e86\u5e7f\u64ad\u673a\u5236\n\nX = torch.normal(0, 1, (2, 5))\nX_prob = softmax(X)\nX_prob, X_prob.sum(1) # \u5b9a\u4e49softmax\u64cd\u4f5c\n\ndef net(X):\n    return softmax(torch.matmul(X.reshape((-1, W.shape[0])), W) + b) # \u5b9a\u4e49\u6a21\u578b\n\ny = torch.tensor([0, 2])\ny_hat = torch.tensor([[0.1, 0.3, 0.6], [0.3, 0.2, 0.5]])\ny_hat[[0, 1], y] \ndef cross_entropy(y_hat, y):\n    return - torch.log(y_hat[range(len(y_hat)), y])\n\ncross_entropy(y_hat, y) # \u5b9a\u4e49\u635f\u5931\u51fd\u6570\n\ndef accuracy(y_hat, y):  #@save\n    \"\"\"\u8ba1\u7b97\u9884\u6d4b\u6b63\u786e\u7684\u6570\u91cf\"\"\"\n    if len(y_hat.shape) &gt; 1 and y_hat.shape[1] &gt; 1:\n        y_hat = y_hat.argmax(axis=1)\n    cmp = y_hat.type(y.dtype) == y\n    return float(cmp.type(y.dtype).sum())\n\ndef evaluate_accuracy(net, data_iter):  #@save\n    \"\"\"\u8ba1\u7b97\u5728\u6307\u5b9a\u6570\u636e\u96c6\u4e0a\u6a21\u578b\u7684\u7cbe\u5ea6\"\"\"\n    if isinstance(net, torch.nn.Module):\n        net.eval()  # \u5c06\u6a21\u578b\u8bbe\u7f6e\u4e3a\u8bc4\u4f30\u6a21\u5f0f\n    metric = Accumulator(2)  # \u6b63\u786e\u9884\u6d4b\u6570\u3001\u9884\u6d4b\u603b\u6570\n    with torch.no_grad():\n        for X, y in data_iter:\n            metric.add(accuracy(net(X), y), y.numel())\n    return metric[0] / metric[1]\n\nclass Accumulator:  #@save\n    \"\"\"\u5728n\u4e2a\u53d8\u91cf\u4e0a\u7d2f\u52a0\"\"\"\n    def __init__(self, n):\n        self.data = [0.0] * n\n\n    def add(self, *args):\n        self.data = [a + float(b) for a, b in zip(self.data, args)]\n\n    def reset(self):\n        self.data = [0.0] * len(self.data)\n\n    def __getitem__(self, idx):\n        return self.data[idx]\n\nevaluate_accuracy(net, test_iter) # \u5206\u7c7b\u7cbe\u5ea6\n\ndef train_epoch_ch3(net, train_iter, loss, updater):  #@save\n    \"\"\"\u8bad\u7ec3\u6a21\u578b\u4e00\u4e2a\u8fed\u4ee3\u5468\u671f\uff08\u5b9a\u4e49\u89c1\u7b2c3\u7ae0\uff09\"\"\"\n    # \u5c06\u6a21\u578b\u8bbe\u7f6e\u4e3a\u8bad\u7ec3\u6a21\u5f0f\n    if isinstance(net, torch.nn.Module):\n        net.train()\n    # \u8bad\u7ec3\u635f\u5931\u603b\u548c\u3001\u8bad\u7ec3\u51c6\u786e\u5ea6\u603b\u548c\u3001\u6837\u672c\u6570\n    metric = Accumulator(3)\n    for X, y in train_iter:\n        # \u8ba1\u7b97\u68af\u5ea6\u5e76\u66f4\u65b0\u53c2\u6570\n        y_hat = net(X)\n        l = loss(y_hat, y)\n        if isinstance(updater, torch.optim.Optimizer):\n            # \u4f7f\u7528PyTorch\u5185\u7f6e\u7684\u4f18\u5316\u5668\u548c\u635f\u5931\u51fd\u6570\n            updater.zero_grad()\n            l.mean().backward()\n            updater.step()\n        else:\n            # \u4f7f\u7528\u5b9a\u5236\u7684\u4f18\u5316\u5668\u548c\u635f\u5931\u51fd\u6570\n            l.sum().backward()\n            updater(X.shape[0])\n        metric.add(float(l.sum()), accuracy(y_hat, y), y.numel())\n    # \u8fd4\u56de\u8bad\u7ec3\u635f\u5931\u548c\u8bad\u7ec3\u7cbe\u5ea6\n    return metric[0] / metric[2], metric[1] / metric[2]\n\nclass Animator:  #@save\n    \"\"\"\u5728\u52a8\u753b\u4e2d\u7ed8\u5236\u6570\u636e\"\"\"\n    def __init__(self, xlabel=None, ylabel=None, legend=None, xlim=None,\n                 ylim=None, xscale='linear', yscale='linear',\n                 fmts=('-', 'm--', 'g-.', 'r:'), nrows=1, ncols=1,\n                 figsize=(3.5, 2.5)):\n        # \u589e\u91cf\u5730\u7ed8\u5236\u591a\u6761\u7ebf\n        if legend is None:\n            legend = []\n        d2l.use_svg_display()\n        self.fig, self.axes = d2l.plt.subplots(nrows, ncols, figsize=figsize)\n        if nrows * ncols == 1:\n            self.axes = [self.axes, ]\n        # \u4f7f\u7528lambda\u51fd\u6570\u6355\u83b7\u53c2\u6570\n        self.config_axes = lambda: d2l.set_axes(\n            self.axes[0], xlabel, ylabel, xlim, ylim, xscale, yscale, legend)\n        self.X, self.Y, self.fmts = None, None, fmts\n\n    def add(self, x, y):\n        # \u5411\u56fe\u8868\u4e2d\u6dfb\u52a0\u591a\u4e2a\u6570\u636e\u70b9\n        if not hasattr(y, \"__len__\"):\n            y = [y]\n        n = len(y)\n        if not hasattr(x, \"__len__\"):\n            x = [x] * n\n        if not self.X:\n            self.X = [[] for _ in range(n)]\n        if not self.Y:\n            self.Y = [[] for _ in range(n)]\n        for i, (a, b) in enumerate(zip(x, y)):\n            if a is not None and b is not None:\n                self.X[i].append(a)\n                self.Y[i].append(b)\n        self.axes[0].cla()\n        for x, y, fmt in zip(self.X, self.Y, self.fmts):\n            self.axes[0].plot(x, y, fmt)\n        self.config_axes()\n        display.display(self.fig)\n        display.clear_output(wait=True)\n\ndef train_ch3(net, train_iter, test_iter, loss, num_epochs, updater):  #@save\n    \"\"\"\u8bad\u7ec3\u6a21\u578b\uff08\u5b9a\u4e49\u89c1\u7b2c3\u7ae0\uff09\"\"\"\n    animator = Animator(xlabel='epoch', xlim=[1, num_epochs], ylim=[0.3, 0.9],\n                        legend=['train loss', 'train acc', 'test acc'])\n    for epoch in range(num_epochs):\n        train_metrics = train_epoch_ch3(net, train_iter, loss, updater)\n        test_acc = evaluate_accuracy(net, test_iter)\n        animator.add(epoch + 1, train_metrics + (test_acc,))\n    train_loss, train_acc = train_metrics\n    assert train_loss &lt; 0.5, train_loss\n    assert train_acc &lt;= 1 and train_acc &gt; 0.7, train_acc\n    assert test_acc &lt;= 1 and test_acc &gt; 0.7, test_acc\n\nlr = 0.1\n\ndef updater(batch_size):\n    return d2l.sgd([W, b], lr, batch_size)\n\nnum_epochs = 10\ntrain_ch3(net, train_iter, test_iter, cross_entropy, num_epochs, updater) # \u8bad\u7ec3\n\ndef predict_ch3(net, test_iter, n=6):  #@save\n    \"\"\"\u9884\u6d4b\u6807\u7b7e\uff08\u5b9a\u4e49\u89c1\u7b2c3\u7ae0\uff09\"\"\"\n    for X, y in test_iter:\n        break\n    trues = d2l.get_fashion_mnist_labels(y)\n    preds = d2l.get_fashion_mnist_labels(net(X).argmax(axis=1))\n    titles = [true +'\\n' + pred for true, pred in zip(trues, preds)]\n    d2l.show_images(\n        X[0:n].reshape((n, 28, 28)), 1, n, titles=titles[0:n])\n\npredict_ch3(net, test_iter) # \u9884\u6d4b\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#37-softmax","title":"3.7 softmax \u56de\u5f52\u7684\u7b80\u6d01\u5b9e\u73b0","text":"Python<pre><code>import torch\nfrom torch import nn\nfrom d2l import torch as d2l\n\nbatch_size = 256\ntrain_iter, test_iter = d2l.load_data_fashion_mnist(batch_size)\n\n# PyTorch\u4e0d\u4f1a\u9690\u5f0f\u5730\u8c03\u6574\u8f93\u5165\u7684\u5f62\u72b6\u3002\u56e0\u6b64\uff0c\n# \u6211\u4eec\u5728\u7ebf\u6027\u5c42\u524d\u5b9a\u4e49\u4e86\u5c55\u5e73\u5c42\uff08flatten\uff09\uff0c\u6765\u8c03\u6574\u7f51\u7edc\u8f93\u5165\u7684\u5f62\u72b6\nnet = nn.Sequential(nn.Flatten(), nn.Linear(784, 10))\n\ndef init_weights(m):\n    if type(m) == nn.Linear:\n        nn.init.normal_(m.weight, std=0.01)\n\nnet.apply(init_weights); # \u521d\u59cb\u5316\u6a21\u578b\u53c2\u6570\n</code></pre> \\[ \\begin{split}\\begin{aligned} \\hat y_j &amp; =  \\frac{\\exp(o_j - \\max(o_k))\\exp(\\max(o_k))}{\\sum_k \\exp(o_k - \\max(o_k))\\exp(\\max(o_k))} \\\\ &amp; = \\frac{\\exp(o_j - \\max(o_k))}{\\sum_k \\exp(o_k - \\max(o_k))}. \\end{aligned}\\end{split} \\] \\[ \\begin{split}\\begin{aligned} \\log{(\\hat y_j)} &amp; = \\log\\left( \\frac{\\exp(o_j - \\max(o_k))}{\\sum_k \\exp(o_k - \\max(o_k))}\\right) \\\\ &amp; = \\log{(\\exp(o_j - \\max(o_k)))}-\\log{\\left( \\sum_k \\exp(o_k - \\max(o_k)) \\right)} \\\\ &amp; = o_j - \\max(o_k) -\\log{\\left( \\sum_k \\exp(o_k - \\max(o_k)) \\right)}. \\end{aligned}\\end{split} \\] Python<pre><code>loss = nn.CrossEntropyLoss(reduction='none') # LogSumExp\u6280\u5de7\n\ntrainer = torch.optim.SGD(net.parameters(), lr=0.1) # \u4f18\u5316\u7b97\u6cd5\n\nnum_epochs = 10\nd2l.train_ch3(net, train_iter, test_iter, loss, num_epochs, trainer) # \u8bad\u7ec3\n</code></pre>"},{"location":"AI/Dive%20into%20Deep%20Learning/#_1","title":"\u591a\u5c42\u611f\u77e5\u673a","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_2","title":"\u8fc7\u62df\u5408\u548c\u6b20\u62df\u5408","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#dropout","title":"dropout","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_3","title":"\u6df1\u5ea6\u5b66\u4e60\u8ba1\u7b97","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_4","title":"\u5377\u79ef\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#lenet","title":"LeNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_5","title":"\u73b0\u4ee3\u5377\u79ef\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#alexnet","title":"AlexNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#vgg","title":"VGG","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#nin","title":"NiN","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#googlenet","title":"GoogLeNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#resnet","title":"ResNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#densenet","title":"DenseNet","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_6","title":"\u5faa\u73af\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_7","title":"\u73b0\u4ee3\u5faa\u73af\u795e\u7ecf\u7f51\u7edc","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#gru","title":"GRU","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#lstm","title":"LSTM","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#seq2seq","title":"seq2seq","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_8","title":"\u6ce8\u610f\u529b\u673a\u5236","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#nadaraya-watson","title":"Nadaraya-Watson","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#bahdanau","title":"Bahdanau","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#multi-headed-attention","title":"Multi-headed attention","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#transformer","title":"Transformer","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_9","title":"\u4f18\u5316\u7b97\u6cd5","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#adagrad","title":"AdaGrad","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#rmsprop","title":"RMSProp","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#adadelta","title":"Adadelta","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#adam","title":"Adam","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_10","title":"\u8ba1\u7b97\u6027\u80fd","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_11","title":"\u8ba1\u7b97\u673a\u89c6\u89c9","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#ssd","title":"SSD","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#r-cnn","title":"R-CNN","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_12","title":"\u81ea\u7136\u8bed\u8a00\u5904\u7406:\u9884\u8bad\u7ec3","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#word2vec","title":"word2vec","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#glove","title":"GloVe","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#bert","title":"BERT","text":""},{"location":"AI/Dive%20into%20Deep%20Learning/#_13","title":"\u81ea\u7136\u8bed\u8a00\u5904\u7406:\u5e94\u7528","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/","title":"\u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5","text":"<p> \u7ea6 3356 \u4e2a\u5b57  43 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 11 \u5206\u949f</p>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#1","title":"1 \u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5\u6982\u8bba","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#11","title":"1.1 \u7edf\u8ba1\u5b66\u4e60","text":"<ol> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u7279\u70b9<ol> <li>\u4ee5\u8ba1\u7b97\u673a\u53ca\u7f51\u7edc\u4e3a\u5e73\u53f0</li> <li>\u4ee5\u6570\u636e\u4e3a\u7814\u7a76\u5bf9\u8c61</li> <li>\u76ee\u7684\u662f\u5bf9\u6570\u636e\u8fdb\u884c\u9884\u6d4b\u4e0e\u5206\u6790</li> <li>\u4ea4\u53c9\u5b66\u79d1</li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u5bf9\u8c61<ol> <li>\u662f\u6570\u636e</li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u76ee\u7684</li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u65b9\u6cd5<ol> <li>\u4e3b\u8981\u6709<ol> <li>\u76d1\u7763\u5b66\u4e60\uff08\u672c\u4e66\u4e3b\u8981\u8ba8\u8bba\uff09</li> <li>\u975e\u76d1\u7763\u5b66\u4e60</li> <li>\u534a\u76d1\u7763\u5b66\u4e60</li> <li>\u5f3a\u5316\u5b66\u4e60</li> </ol> </li> <li>\u4e09\u8981\u7d20<ol> <li>\u6a21\u578b</li> <li>\u7b56\u7565</li> <li>\u7b97\u6cd5</li> </ol> </li> <li>\u5b9e\u73b0\u6b65\u9aa4<ol> <li>\u5f97\u5230\u4e00\u4e2a\u8bad\u7ec3\u6570\u636e\u96c6\u5408</li> <li>\u786e\u5b9a\u5b66\u4e60\u6a21\u578b\u7684\u96c6\u5408</li> <li>\u786e\u5b9a\u5b66\u4e60\u7684\u7b56\u7565</li> <li>\u786e\u5b9a\u5b66\u4e60\u7684\u7b97\u6cd5</li> <li>\u901a\u8fc7\u5b66\u4e60\u65b9\u6cd5\u9009\u62e9\u6700\u4f18\u6a21\u578b</li> <li>\u5229\u7528\u5b66\u4e60\u7684\u6700\u4f18\u6a21\u578b\u5bf9\u65b0\u6570\u636e\u8fdb\u884c\u9884\u6d4b\u6216\u5206\u6790</li> </ol> </li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u7814\u7a76<ol> <li>\u65b9\u6cd5</li> <li>\u7406\u8bba</li> <li>\u5e94\u7528</li> </ol> </li> <li>\u7edf\u8ba1\u5b66\u4e60\u7684\u91cd\u8981\u6027</li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#12","title":"1.2 \u76d1\u7763\u5b66\u4e60","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#121","title":"1.2.1 \u57fa\u672c\u6982\u5ff5","text":"<ol> <li>\u8f93\u5165\u7a7a\u95f4\u3001\u7279\u5f81\u7a7a\u95f4\u4e0e\u8f93\u51fa\u7a7a\u95f4<ol> <li>\u6bcf\u4e2a\u8f93\u5165\u662f\u4e00\u4e2a\u5b9e\u4f8b\uff0c\u901a\u5e38\u7531\u7279\u5f81\u5411\u91cf\u8868\u793a</li> <li>\u76d1\u7763\u5b66\u4e60\u4ece\u8bad\u7ec3\u6570\u636e\u96c6\u5408\u4e2d\u5b66\u4e60\u6a21\u578b\uff0c\u5bf9\u6d4b\u8bd5\u6570\u636e\u8fdb\u884c\u9884\u6d4b</li> <li>\u6839\u636e\u8f93\u5165\u53d8\u91cf\u548c\u8f93\u51fa\u53d8\u91cf\u7684\u4e0d\u540c\u7c7b\u578b<ol> <li>\u56de\u5f52\u95ee\u9898: \u90fd\u8fde\u7eed</li> <li>\u5206\u7c7b\u95ee\u9898: \u8f93\u51fa\u6709\u9650\u79bb\u6563</li> <li>\u6807\u6ce8\u95ee\u9898: \u90fd\u662f\u53d8\u91cf\u5e8f\u5217</li> </ol> </li> </ol> </li> <li>\u8054\u5408\u6982\u7387\u5206\u5e03</li> <li>\u5047\u8bbe\u7a7a\u95f4<ol> <li>\u6a21\u578b\u5c5e\u4e8e\u7531\u8f93\u5165\u7a7a\u95f4\u5230\u8f93\u51fa\u7a7a\u95f4\u7684\u6620\u5c04\u7684\u96c6\u5408\uff0c\u8fd9\u4e2a\u96c6\u5408\u5c31\u662f\u5047\u8bbe\u7a7a\u95f4</li> <li>\u6a21\u578b\u53ef\u4ee5\u662f\uff08\u975e\uff09\u6982\u7387\u6a21\u578b</li> </ol> </li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#122","title":"1.2.2 \u95ee\u9898\u7684\u5f62\u5f0f\u5316","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#13","title":"1.3 \u7edf\u8ba1\u5b66\u4e60\u4e09\u8981\u8bfb","text":"<ul> <li>\u65b9\u6cd5=\u6a21\u578b+\u7b56\u7565+\u7b97\u6cd5</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#131","title":"1.3.1 \u6a21\u578b","text":"<ul> <li>\u6a21\u578b\u5c31\u662f\u7d22\u8981\u5b66\u4e60\u7684\u6761\u4ef6\u6982\u7387\u5206\u5e03\u6216\u51b3\u7b56\u51fd\u6570</li> </ul> \\[ \\mathcal{F}=\\{f\\mid Y=f(X)\\} \\] <ul> <li>\u53c2\u6570\u7a7a\u95f4</li> </ul> \\[ \\mathcal{F}=\\{f | Y=f_{\\theta}(X),\\theta\\in\\mathbf{R}^{n}\\} \\] <ul> <li>\u540c\u6837\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u6761\u4ef6\u6982\u7387\u7684\u96c6\u5408</li> </ul> \\[ \\mathcal{F}=\\{P|P(Y|X)\\} \\] \\[ \\mathcal{F}=\\{P\\mid P_{\\theta}(Y\\mid X),\\theta\\in\\mathbf{R}^{n}\\} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#132","title":"1.3.2 \u7b56\u7565","text":"<ol> <li>\u635f\u5931\u51fd\u6570\u548c\u98ce\u9669\u51fd\u6570<ol> <li>loos function or cost function \\(\\displaystyle L(Y,f(X))\\)<ol> <li>0-1 loss function<ol> <li>\\(\\displaystyle L(Y,f(X))=\\begin{cases}1,&amp;Y\\neq f(X)\\\\0,&amp;Y=f(X)\\end{cases}\\)</li> </ol> </li> <li>quadratic loss function<ol> <li>\\(\\displaystyle L(Y,f(X))=(Y-f(X))^{2}\\)</li> </ol> </li> <li>absolute loss function<ol> <li>\\(\\displaystyle L(Y,f(X))=|Y-f(X)|\\)</li> </ol> </li> <li>logarithmic loss function or log-likelihood loss function<ol> <li>\\(\\displaystyle L(Y,P(Y\\mid X))=-\\log P(Y\\mid X)\\)</li> </ol> </li> </ol> </li> <li>\\(\\displaystyle R_{\\exp}(f)=E_{P}[L(Y,f(X))]=\\int_{x\\times y}L(y,f(x))P(x,y)\\mathrm{d}x\\mathrm{d}y\\)<ol> <li>risk function or expected loss</li> <li>\u4f46\u662f\u8054\u5408\u5206\u5e03\u4f4d\u7f6e\uff0c\u6240\u4ee5\u8981\u5b66\u4e60\uff0c\u4f46\u662f\u8fd9\u6837\u4ee5\u6765\u98ce\u9669\u6700\u5c0f\u53c8\u8981\u7528\u5230\u8054\u5408\u5206\u5e03\uff0c\u90a3\u4e48\u8fd9\u5c31\u6210\u4e3a\u4e86\u75c5\u6001\u95ee\u9898 (ill-formed problem)</li> </ol> </li> <li>empirical risk or empirical loss<ol> <li>\\(\\displaystyle R_{\\mathrm{emp}}(f)=\\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},f(x_{i}))\\)</li> <li>\u5f53 \\(\\displaystyle N\\) \u8d8b\u4e8e\u65e0\u7a77\u65f6\uff0c\u7ecf\u9a8c\u98ce\u9669\u8d8b\u4e8e\u671f\u671b\u98ce\u9669<ol> <li>\u8fd9\u5c31\u5173\u7cfb\u5230\u4e24\u4e2a\u57fa\u672c\u7b56\u7565:<ol> <li>\u7ecf\u9a8c\u98ce\u9669\u6700\u5c0f\u5316</li> <li>\u7ed3\u6784\u98ce\u9669\u6700\u5c0f\u5316</li> </ol> </li> </ol> </li> </ol> </li> </ol> </li> <li>\u7ecf\u9a8c\u98ce\u9669\u6700\u5c0f\u5316\u4e0e\u7ed3\u6784\u98ce\u9669\u6700\u5c0f\u5316<ol> <li>empirical risk minimization \uff08\u6837\u672c\u5bb9\u91cf\u6bd4\u8f83\u5927\u7684\u65f6\u5019\uff09<ol> <li>\\(\\displaystyle \\min_{f\\in\\mathcal{F}} \\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},f(x_{i}))\\)</li> <li>maximum likelihood estimation</li> </ol> </li> <li>structural risk minimization<ol> <li>regularization</li> <li>\\(\\displaystyle R_{\\mathrm{sm}}(f)=\\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},f(x_{i}))+\\lambda J(f)\\)</li> <li>\u590d\u6742\u5ea6\u8868\u793a\u4e86\u5bf9\u590d\u6742\u6a21\u578b\u7684\u4e58\u6cd5</li> <li>maximum posterior probability estimation</li> </ol> </li> </ol> </li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#133","title":"1.3.3 \u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#14","title":"1.4 \u6a21\u578b\u8bc4\u4f30\u4e0e\u6a21\u578b\u9009\u62e9","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#141","title":"1.4.1 \u8bad\u7ec3\u8bef\u5dee\u4e0e\u6d4b\u8bd5\u8bef\u5dee","text":"\\[ R_{\\mathrm{emp}}(\\hat{f})=\\frac{1}{N}\\sum_{i=1}^{N}L(y_{i},\\hat{f}(x_{i})) \\] \\[ e_{\\mathrm{test}}=\\frac{1}{N^{\\prime}}\\sum_{i=1}^{N^{\\prime}}L(y_{i},\\hat{f}(x_{i})) \\] \\[ r_{\\mathrm{test}}+e_{\\mathrm{test}}=1 \\] <ul> <li>generalization ability</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#142","title":"1.4.2 \u8fc7\u62df\u5408\u4e0e\u6a21\u578b\u9009\u62e9","text":"<ul> <li>model selection</li> <li>over-fitting </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#15","title":"1.5 \u6b63\u5219\u5316\u4e0e\u4ea4\u53c9\u9a8c\u8bc1","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#151","title":"1.5.1 \u6b63\u5219\u5316","text":"\\[ L(w)=\\frac{1}{N}\\sum_{i=1}^{N}(f(x_{i};w)-y_{i})^{2}+\\frac{\\lambda}{2}\\parallel w\\parallel^{2} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#152","title":"1.5.2 \u4ea4\u53c9\u9a8c\u8bc1","text":"<ul> <li>cross validation</li> <li>\u6570\u636e\u96c6<ul> <li>\u8bad\u7ec3\u96c6</li> <li>\u9a8c\u8bc1\u96c6</li> <li>\u6d4b\u8bd5\u96c6 1. \u7b80\u5355\u4ea4\u53c9\u9a8c\u8bc1 2. \\(\\displaystyle S\\) \u6298\u4ea4\u53c9\u9a8c\u8bc1 3. \u7559\u4e00\u4ea4\u53c9\u9a8c\u8bc1</li> </ul> </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#16","title":"1.6 \u6cdb\u5316\u80fd\u529b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#161","title":"1.6.1 \u6cdb\u5316\u8bef\u5dee","text":"<ul> <li>generalization error</li> </ul> \\[ R_{\\exp}(\\hat{f})=E_{P}[L(Y,\\hat{f}(X))]=\\int_{R\\times y}L(y,\\hat{f}(x))P(x,y)\\mathrm{d}x\\mathrm{d}y \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#162","title":"1.6.2 \u6cdb\u5316\u8bef\u5dee\u4e0a\u754c","text":"<ul> <li>generalization error bound</li> <li>\u6837\u672c\u5bb9\u91cf\u589e\u52a0\u65f6\uff0c\u6cdb\u5316\u4e0a\u754c\u8d8b\u4e8e 0</li> <li>\u5047\u8bbe\u7a7a\u95f4\u8d8a\u5927\uff0c\u6cdb\u5316\u8bef\u5dee\u4e0a\u754c\u8d8a\u5927 </li> <li>\u8fd9\u4e2a\u5b9a\u7406\u53ea\u9002\u7528\u4e8e\u5047\u8bbe\u7a7a\u95f4\u5305\u542b\u6709\u9650\u4e2a\u51fd\u6570</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#17","title":"1.7 \u751f\u6210\u6a21\u578b\u4e0e\u5224\u522b\u6a21\u578b","text":"<ul> <li>generative model<ul> <li>\u8fd8\u539f\u51fa\u8054\u5408\u6982\u7387\u5206\u5e03 \\(\\displaystyle P(X,Y)\\)</li> <li>\u6734\u7d20\u8d1d\u53f6\u65af\u6cd5</li> <li>\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b</li> <li>\u6536\u655b\u901f\u5ea6\u5feb</li> </ul> </li> <li>discriminative model<ul> <li>\u76f4\u63a5\u5b66\u4e60\u51b3\u7b56\u51fd\u6570\u6216\u6761\u4ef6\u6982\u7387\u5206\u5e03 \\(\\displaystyle P(Y|X)\\)</li> <li>\\(\\displaystyle k\\) \u8fd1\u90bb\u6cd5</li> <li>\u611f\u77e5\u673a</li> <li>\u51b3\u7b56\u6811</li> <li>\u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b</li> <li>\u6700\u5927\u71b5\u6a21\u578b</li> <li>\u652f\u6301\u5411\u91cf\u673a</li> <li>\u63d0\u5347\u65b9\u6cd5</li> <li>\u6761\u4ef6\u968f\u673a\u573a</li> <li>\u51c6\u786e\u5ea6\u9ad8</li> </ul> </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#18","title":"1.8 \u5206\u7c7b\u95ee\u9898","text":"<ul> <li>precision \\(\\displaystyle P=\\frac{TP}{TP+FP}\\)</li> <li>recall \\(\\displaystyle R=\\frac{TP}{TP+FN}\\) </li> </ul> \\[ \\frac{2}{F_{1}}=\\frac{1}{P}+\\frac{1}{R} \\] \\[ F_{1}=\\frac{2TP}{2TP+FP+FN} \\] <ul> <li>text classification</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#19","title":"1.9 \u6807\u6ce8\u95ee\u9898","text":"<ul> <li>tagging \u662f classificationd \u4e00\u4e2a\u63a8\u5e7f</li> <li>\u662f structure prediction \u7684\u7b80\u5355\u5f62\u5f0f</li> <li>\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b</li> <li>\u6761\u4ef6\u968f\u673a\u573a</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#110","title":"1.10 \u56de\u5f52\u95ee\u9898","text":"<ul> <li>regression</li> <li>\uff08\u975e\uff09\u7ebf\u6027\u56de\u5f52\uff0c\u4e00\u5143\u56de\u5f52\uff0c\u591a\u5143\u56de\u5f52</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#2","title":"2 \u611f\u77e5\u673a","text":"<ul> <li>perception</li> <li>\u611f\u77e5\u673a\u5bf9\u5e94\u4e8e\u8f93\u5165\u7a7a\u95f4\u4e2d\u5c06\u5b9e\u4f8b\u5212\u5206\u6210\u6b63\u8d1f\u4e24\u7c7b\u7684\u5206\u79bb\u8d85\u5e73\u9762\uff0c\u5c5e\u4e8e\u5224\u522b\u6a21\u578b</li> <li>\u539f\u59cb\u5f62\u5f0f\u548c\u5bf9\u5076\u5f62\u5f0f</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#21","title":"2.1 \u611f\u77e5\u673a\u6a21\u578b","text":"<ul> <li>\u5047\u8bbe\u7a7a\u95f4\u662f\u5b9a\u4e49\u5728\u7279\u5f81\u7a7a\u95f4\u4e2d\u6240\u6709\u7684\u7ebf\u6027\u5206\u7c7b\u6a21\u578b\uff08linear classification model\uff09\\(\\displaystyle \\{f|f(x) = w \\cdot x+b\\}\\) </li> <li>separating hyperplane </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#22","title":"2.2 \u611f\u77e5\u673a\u5b66\u4e60\u7b56\u7565","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#221","title":"2.2.1 \u6570\u636e\u96c6\u7684\u7ebf\u6027\u53ef\u5206\u6027","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#222","title":"2.2.2 \u611f\u77e5\u673a\u5b66\u4e60\u7b56\u7565","text":"<ul> <li>\u5b9a\u4e49\u635f\u5931\u51fd\u6570\u5e76\u5c06\u635f\u5931\u51fd\u6570\u6781\u5c0f\u5316</li> </ul> \\[ L(w,b)=-\\sum_{x_{i}\\in M}y_{i}(w\\cdot x_{i}+b) \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#223","title":"2.2.3 \u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#224","title":"2.2.4 \u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5\u7684\u539f\u59cb\u5f62\u5f0f","text":"\\[ \\min_{w,b}L(w,b)=-\\sum_{x_{i}\\in M}y_{i}(w\\cdot x_{i}+b) \\] <ul> <li>stochastic gradient descent</li> </ul> \\[ \\nabla_{_w}L(w,b)=-\\sum_{x_{i}\\in M}y_{i}x_{i} \\] \\[ \\nabla_{b}L(w,b)=-\\sum_{x_{i}eM}y_{i} \\] \\[ w\\leftarrow w+\\eta y_{i}x_{i} \\] \\[ b\\leftarrow b+\\eta y_{i} \\] <ul> <li>\\(\\displaystyle \\eta\\) \u88ab\u79f0\u4e3a\u5b66\u4e60\u7387\uff08learning rate\uff09 </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#225","title":"2.2.5 \u7b97\u6cd5\u7684\u6536\u655b\u6027","text":"<ul> <li>\u4e3a\u4e86\u5f97\u5230\u552f\u4e00\u7684\u8d85\u5e73\u9762\uff0c\u9700\u8981\u5bf9\u5206\u79bb\u8d85\u5e73\u9762\u589e\u52a0\u7ea6\u675f\u6761\u4ef6\uff0c\u5373\u7ebf\u6027\u652f\u6301\u5411\u91cf\u673a</li> <li>\u5982\u679c\u8bad\u7ec3\u96c6\u7ebf\u6027\u4e0d\u53ef\u5206\uff0c\u90a3\u4e48\u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5\u4e0d\u6536\u655b</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#226","title":"2.2.6 \u611f\u77e5\u673a\u5b66\u4e60\u7b97\u6cd5\u7684\u5bf9\u5076\u5f62\u5f0f","text":"\\[ \\begin{aligned}&amp;w\\leftarrow w+\\eta y_{i}x_{i}\\\\&amp;b\\leftarrow b+\\eta y_{i}\\end{aligned} \\] \\[ w=\\sum_{i=1}^{N}\\alpha_{i}y_{i}x_{i} \\] \\[ b=\\sum_{i=1}^{N}\\alpha_{i}y_{i} \\] <ul> <li>Gram matrix</li> </ul> \\[ G=[x_{i}\\cdot x_{j}]_{N\\times N} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#3-displaystyle-k","title":"3 \\(\\displaystyle k\\) \u8fd1\u90bb\u6cd5","text":"<ul> <li>k-nearest neighbor</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#31-displaystyle-k","title":"3.1 \\(\\displaystyle k\\) \u8fd1\u90bb\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#32-displaystyle-k","title":"3.2 \\(\\displaystyle k\\) \u8fd1\u90bb\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#321","title":"3.2.1 \u6a21\u578b","text":"<ul> <li>cell</li> <li>class label </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#33","title":"3.3 \u8ddd\u79bb\u5ea6\u91cf","text":"<ul> <li>\\(\\displaystyle L_{p}\\) distance or Minkowski distamce</li> <li>\\(\\displaystyle L_{p}(x_{i},x_{j})=\\left(\\sum_{l=1}^{n}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid^{p}\\right)^{\\frac{1}{p}}\\)</li> <li>\\(\\displaystyle L_{2}(x_{i},x_{j})=\\left(\\sum_{i=1}^{n}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid^{2}\\right)^{\\frac{1}{2}}\\)</li> <li>\\(\\displaystyle L_{1}(x_{i}, x_{j})=\\sum_{l=1}^{n}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid\\)</li> <li>\\(\\displaystyle L_{\\infty}(x_{i}, x_{j})=\\max_{l}\\mid x_{i}^{(l)}-x_{j}^{(l)}\\mid\\) </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#331-displaystyle-k","title":"3.3.1 \\(\\displaystyle k\\) \u503c\u7684\u9009\u62e9","text":"<ul> <li>if k is small, then the approximation error will reduce</li> <li>estimation error</li> <li>\\(\\displaystyle k\\) \u503c\u7684\u51cf\u5c0f\u5c31\u610f\u5473\u7740\u6574\u4f53\u6a21\u578b\u53d8\u5f97\u590d\u6742\uff0c\u5bb9\u6613\u53d1\u751f\u8fc7\u62df\u5408</li> <li>\u5728\u5e94\u7528\u4e2d, \\(\\displaystyle k\\) \u503c\u4e00\u822c\u53d6\u4e00\u4e2a\u6bd4\u8f83\u5c0f\u7684\u6570\u503c\uff0c\u901a\u5e38\u91c7\u7528\u4ea4\u53c9\u9a8c\u8bc1\u6cd5\u6765\u9009\u53d6\u6700\u4f18\u7684 \\(\\displaystyle k\\) \u503c</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#332","title":"3.3.2 \u5206\u7c7b\u51b3\u7b56\u89c4\u5219","text":"<ul> <li>\u591a\u6570\u8868\u51b3\u89c4\u5219\uff08majority voting rule\uff09 </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#34-displaystyle-k-displaystyle-kd","title":"3.4 \\(\\displaystyle k\\) \u8fd1\u90bb\u6cd5\u7684\u5b9e\u73b0: \\(\\displaystyle kd\\) \u6811","text":"<ul> <li>linear scan</li> <li>kd tree</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#341-displaystyle-kd","title":"3.4.1 \u6784\u9020 \\(\\displaystyle kd\\) \u6811","text":"<ul> <li>\\(\\displaystyle kd\\) \u6811\u662f\u4e00\u4e8c\u53c9\u6811\uff0c\u8868\u793a\u5bf9 \\(\\displaystyle k\\) \u7ef4\u7a7a\u95f4\u7684\u4e00\u4e2a\u5212\u5206\uff08partition\uff09</li> <li>\u901a\u5e38\u9009\u62e9\u8bad\u7ec3\u5b9e\u4f8b\u70b9\u5728\u9009\u5b9a\u5750\u6807\u8f74\u4e0a\u7684\u4e2d\u4f4d\u6570\u4e3a\u5207\u5206\u70b9\uff0c\u867d\u7136\u8fd9\u6837\u5f97\u5230\u7684\u6811\u662f\u5e73\u8861\u7684\uff0c\u4f46\u6548\u7387\u672a\u5fc5\u662f\u6700\u4f18\u7684  \u6709\u610f\u601d</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#342-displaystyle-kd","title":"3.4.2 \u641c\u7d22 \\(\\displaystyle kd\\) \u6811","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#4","title":"4 \u6734\u7d20\u8d1d\u53f6\u65af\u6cd5","text":"<ul> <li>\u57fa\u4e8e\u8d1d\u53f6\u65af\u5b9a\u7406\u4e0e\u7279\u5f81\u6761\u4ef6\u72ec\u7acb\u5047\u8bbe\u7684\u5206\u7c7b\u65b9\u6cd5</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#41","title":"4.1 \u6734\u7d20\u8d1d\u53f6\u65af\u6cd5\u7684\u5b66\u4e60\u4e0e\u5206\u7c7b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#411","title":"4.1.1 \u57fa\u672c\u65b9\u6cd5","text":"<ul> <li>\u5b66\u4e60\u5148\u9a8c\u6982\u7387\u5206\u5e03\u548c\u6761\u4ef6\u6982\u7387\u5206\u5e03\u4e8e\u662f\u5b66\u4e60\u5230\u8054\u5408\u6982\u7387\u5206\u5e03</li> </ul> \\[ P(X=x\\mid Y=c_{k})=P(X^{(1)}=x^{(1)},\\cdots,X^{(n)}=x^{(n)}\\mid Y=c_{k}),\\quad k=1,2,\\cdots,K \\] <ul> <li>\u5f15\u5165\u4e86\u6761\u4ef6\u72ec\u7acb\u6027\u5047\u8bbe</li> </ul> \\[ \\begin{aligned} P(X=x|Y=c_{k})&amp; =P(X^{(1)}=x^{(1)},\\cdots,X^{(n)}=x^{(n)}\\mid Y=c_{k}) \\\\ &amp;=\\prod_{j=1}^{n}P(X^{(j)}=x^{(j)}\\mid Y=c_{k}) \\end{aligned} \\] \\[ P(Y=c_{k}\\mid X=x)=\\frac{P(X=x\\mid Y=c_{k})P(Y=c_{k})}{\\sum_{k}P(X=x\\mid Y=c_{k})P(Y=c_{k})} \\] \\[ P(Y=c_{k}\\mid X=x)=\\frac{P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})}{\\sum_{k}P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})},\\quad k=1,2,\\cdots,K \\] \\[ y=f(x)=\\arg\\max_{c_{k}}\\frac{P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})}{\\sum_{k}P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k})} \\] \\[ y=\\arg\\max_{c_{k}}P(Y=c_{k})\\prod_{j}P(X^{(j)}=x^{(j)}\\mid Y=c_{k}) \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#412","title":"4.1.2 \u540e\u9a8c\u6982\u7387\u6700\u5927\u5316\u7684\u542b\u4e49","text":"\\[ L(Y,f(X))=\\begin{cases}1,&amp;Y\\neq f(X)\\\\0,&amp;Y=f(X)\\end{cases} \\] \\[ R_{\\exp}(f)=E[L(Y,f(X))] \\] \\[ R_{\\exp}(f)=E_{\\chi}\\sum_{k=1}^{K}[L(c_{k},f(X))]P(c_{k}\\mid X) \\] \\[ \\begin{align} f(x) &amp;=\\arg\\min_{y\\in\\mathcal{Y}}\\sum_{k=1}^{K}L(c_{k},y)P(c_{k}\\mid X=x) \\\\ &amp;=\\arg\\min_{y\\in\\mathcal{Y}}\\sum_{k=1}^{K}P(y\\neq c_{k}\\mid X=x) \\\\ &amp;=\\arg\\min_{y\\in\\mathcal{Y}}(1-P(y=c_{k}\\mid X=x)) \\\\ &amp;=\\arg\\max_{y\\in\\mathcal{Y}}P(y=c_{k}\\mid X=x)  \\end{align} \\] \\[ f(x)=\\arg\\max_{c_{k}}P(c_{k}\\mid X=x) \\] <ul> <li>\u671f\u671b\u98ce\u9669\u6700\u5c0f\u5316\u51c6\u5219\u5c31\u5f97\u5230\u8054\u8003\u540e\u9a8c\u6982\u7387\u6700\u5927\u5316\u51c6\u5219</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#42","title":"4.2 \u6734\u7d20\u8d1d\u53f6\u65af\u6cd5\u7684\u53c2\u6570\u4f30\u8ba1","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#421","title":"4.2.1 \u6781\u5927\u4f3c\u7136\u4f30\u8ba1","text":"\\[ P(Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(y_{i}=c_{k})}{N} , k=1,2,\\cdots,K \\] \\[ P(X^{(j)}=a_{ji}\\mid Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(x_{i}^{(j)}=a_{ji},y_{i}=c_{k})}{\\sum_{i=1}^{N}I(y_{i}=c_{k})}\\\\j=1,2,\\cdots,n ;\\quad l=1,2,\\cdots,S_{j} ;\\quad k=1,2,\\cdots,K \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#422","title":"4.2.2 \u5b66\u4e60\u4e0e\u5206\u7c7b\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#423","title":"4.2.3 \u8d1d\u53f6\u65af\u4f30\u8ba1","text":"<ul> <li>\u6781\u5927\u4f3c\u7136\u4f30\u8ba1\u53ef\u80fd\u4f1a\u51fa\u73b0\u6240\u8981\u4f30\u8ba1\u7684\u6982\u7387\u503c\u4e3a 0 \u7684\u60c5\u51b5</li> <li>\u6761\u4ef6\u6982\u7387\u7684\u8d1d\u53f6\u65af\u4f30\u8ba1</li> </ul> \\[ P_{\\lambda}(X^{(j)}=a_{ji}\\mid Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(x_{i}^{(j)}=a_{ji},y_{i}=c_{k})+\\lambda}{\\sum_{i=1}^{N}I(y_{i}=c_{k})+S_{j}\\lambda} \\] <ul> <li>when \\(\\displaystyle \\lambda = 0\\), it's called Laplace smoothing</li> </ul> \\[ \\begin{aligned}&amp;P_{\\lambda}(X^{(j)}=a_{jl}\\mid Y=c_{k})&gt;0\\\\&amp;\\sum_{l=1}^{s_{j}}P(X^{(j)}=a_{jl}\\mid Y=c_{k})=1\\end{aligned} \\] <ul> <li>\u8868\u660e\u8d1d\u53f6\u65af\u4f30\u8ba1\u786e\u5b9e\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03</li> <li>\u5148\u9a8c\u6982\u7387\u7684\u8d1d\u53f6\u65af\u4f30\u8ba1</li> </ul> \\[ P_{\\lambda}(Y=c_{k})=\\frac{\\sum_{i=1}^{N}I(y_{i}=c_{k})+\\lambda}{N+K\\lambda} \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#5","title":"5 \u51b3\u7b56\u6811","text":"<ul> <li>decision tree<ul> <li>\u7279\u5f81\u9009\u62e9</li> <li>\u51b3\u7b56\u6811\u7684\u751f\u6210</li> <li>\u51b3\u7b56\u6811\u7684\u4fee\u526a</li> </ul> </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#51","title":"5.1 \u51b3\u7b56\u6811\u6a21\u578b\u4e0e\u5b66\u4e60","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#511","title":"5.1.1 \u51b3\u7b56\u6811\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#512-if-then","title":"5.1.2 \u51b3\u7b56\u6811\u4e0e if-then \u89c4\u5219","text":"<ul> <li>\u4e92\u65a5\u4e14\u5b8c\u5907</li> <li>\u6bcf\u4e00\u4e2a\u5b9e\u4f8b\u90fd\u88ab\u4e00\u6761\u8def\u5f84\u4f1a\u89c4\u5219\u6240\u8986\u76d6\uff0c\u800c\u4e14\u53ea\u88ab\u4e00\u6761\u8def\u5f84\u6216\u4e00\u6761\u89c4\u5219\u6240\u8986\u76d6</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#513","title":"5.1.3 \u51b3\u7b56\u6811\u4e0e\u6761\u4ef6\u6982\u7387\u5206\u5e03","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#514","title":"5.1.4 \u51b3\u7b56\u6811\u5b66\u4e60","text":"<ul> <li>\u51b3\u7b56\u6811\u5b66\u4e60\u672c\u8d28\u4e0a\u662f\u4ece\u8bad\u7ec3\u6570\u636e\u96c6\u4e2d\u5f52\u7eb3\u51fa\u4e00\u7ec4\u5206\u7c7b\u89c4\u5219</li> <li>\u5728\u635f\u5931\u51fd\u6570\u610f\u4e49\u4e0b\u9009\u62e9\u6700\u4f18\u51b3\u7b56\u6811\u7684\u95ee\u9898\uff0c\u662f NP \u5b8c\u5168\u95ee\u9898\uff0c\u91c7\u7528\u542f\u53d1\u5f0f\u65b9\u6cd5\uff0c\u8fd1\u4f3c\u6c42\u89e3\uff0c\u8fd9\u6837\u5f97\u5230\u7684\u51b3\u7b56\u6811\u662f\u6b21\u6700\u4f18\uff08sub-optimal\uff09</li> <li>\u4e3a\u4e86\u9632\u6b62\u8fc7\u62df\u5408\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u5df2\u751f\u6210\u7684\u6811\u81ea\u4e0a\u800c\u4e0b\u8fdb\u884c\u526a\u679d</li> <li>\u51b3\u7b56\u6811\u7684\u751f\u6210\u503c\u8003\u8651\u5c40\u90e8\u6700\u4f18\uff0c\u526a\u679d\u5219\u8003\u8651\u5168\u5c40\u6700\u4f18</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#52","title":"5.2 \u7279\u5f81\u9009\u62e9","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#521","title":"5.2.1 \u7279\u5f81\u9009\u62e9\u95ee\u9898","text":"<ul> <li>\u901a\u5e38\u7279\u5f81\u9009\u62e9\u7684\u51c6\u5219\u662f\u4fe1\u606f\u589e\u76ca\u6216\u4fe1\u606f\u589e\u76ca\u6bd4</li> <li>information gain</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#522","title":"5.2.2 \u4fe1\u606f\u589e\u76ca","text":"<ul> <li>\u71b5\u548c\u6761\u4ef6\u71b5</li> </ul> \\[ P(X=x_{i})=p_{i} ,\\quad i=1,2,\\cdots,n \\] \\[ H(X)=-\\sum_{i=1}^{n}p_{i}\\log p_{i} \\] \\[ H(p)=-\\sum_{i=1}^{n}p_{i}\\log p_{i} \\] \\[ 0\\leqslant H(p)\\leqslant\\log n \\] \\[ P(X=x_{i},Y=y_{j})=p_{ij} ,\\quad i=1,2,\\cdots,n ;\\quad j=1,2,\\cdots,m \\] \\[ H(Y\\mid X)=\\sum_{i=1}^{n}p_{i}H(Y\\mid X=x_{i}) \\] <ul> <li>mutual information </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#523","title":"5.2.3 \u4fe1\u606f\u589e\u76ca\u6bd4","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#53","title":"5.3 \u51b3\u7b56\u6811\u7684\u751f\u6210","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#531-id-3","title":"5.3.1 ID 3 \u7b97\u6cd5","text":"<ul> <li>ID 3 \u7b97\u6cd5\u53ea\u6709\u6811\u7684\u751f\u6210\uff0c\u6240\u4ee5\u8be5\u7b97\u6cd5\u751f\u6210\u7684\u6811\u5bb9\u6613\u4ea7\u751f\u8fc7\u62df\u5408</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#532-c-45","title":"5.3.2 C 4.5 \u7684\u751f\u6210\u7b97\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#54","title":"5.4 \u51b3\u7b56\u6811\u7684\u526a\u679d","text":"<ul> <li>pruning</li> </ul> \\[ C_{\\alpha}(T)=\\sum_{t=1}^{|T|}N_{t}H_{t}(T)+\\alpha|T| \\] \\[ H_{t}(T)=-\\sum_{k}\\frac{N_{ik}}{N_{t}}\\log\\frac{N_{ik}}{N_{t}} \\] \\[ C(T)=\\sum_{t=1}^{|T|}N_{t}H_{t}(T)=-\\sum_{t=1}^{|T|}\\sum_{k=1}^{K}N_{tk}\\log\\frac{N_{tk}}{N_{t}} \\] \\[ C_{\\alpha}(T)=C(T)+\\alpha|T| \\]"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#55-cart","title":"5.5 CART \u7b97\u6cd5","text":"<ul> <li>\u5206\u88c2\u4e0e\u56de\u5f52\u6811\uff08classification and regression tree\uff09</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#551-cart","title":"5.5.1 CART \u751f\u6210","text":"<ul> <li>\u5bf9\u56de\u5f52\u6811\u7528\u5e73\u65b9\u8bef\u5dee\u6700\u5c0f\u5316\u51c6\u5219</li> <li>\u5bf9\u5206\u7c7b\u6811\u7528\u57fa\u5c3c\u6307\u6570\uff08Gini index\uff09\u6700\u5c0f\u5316\u51c6\u5219 1. \u56de\u5f52\u6811\u7684\u751f\u6210</li> </ul> \\[ f(x)=\\sum_{m=1}^{M}c_{m}I(x\\in R_{m}) \\] \\[ \\hat{c}_{m}=\\mathrm{ave}(y_{i}\\mid x_{i}\\in R_{m}) \\] <ul> <li>splitting variable </li> <li>splitting point</li> </ul> \\[ R_{1}(j,s)=\\{x\\mid x^{(j)}\\leqslant s\\}\\quad\\text{\u548c}\\quad R_{2}(j,s)=\\{x\\mid x^{(j)}&gt;s\\} \\] \\[ \\min_{j,s}\\biggl[\\min_{c_{1}}\\sum_{x_{i}\\in R_{i}(j,s)}(y_{i}-c_{1})^{2}+\\min_{c_{2}}\\sum_{x_{i}\\in R_{2}(j,s)}(y_{i}-c_{2})^{2}\\biggr] \\] \\[ \\hat{c}_{1}=\\mathrm{ave}(y_{i}\\mid x_{i}\\in R_{1}(j,s))\\quad\\hat{\\text{\u548c}}\\quad\\hat{c}_{2}=\\mathrm{ave}(y_{i}\\mid x_{i}\\in R_{2}(j,s)) \\] <ul> <li>least squares regression tree  1. \u5206\u7c7b\u6811\u7684\u751f\u6210 </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#552-cart","title":"5.5.2 CART \u526a\u679d","text":"<ol> <li>\u526a\u679d\uff0c\u5f62\u6210\u4e00\u4e2a\u5b50\u6811\u5e8f\u5217</li> </ol> \\[ C_{\\alpha}(T)=C(T)+\\alpha\\left|T\\right| \\] \\[ g(t)=\\frac{C(t)-C(T_{t})}{\\mid T_{t}\\mid-1} \\] <ol> <li>\u5728\u526a\u679d\u5f97\u5230\u7684\u5b50\u6811\u5e8f\u5217 \\(\\displaystyle T_0,T_1,\\cdots,T_n\\) \u4e2d\u901a\u8fc7\u4ea4\u53c9\u9a8c\u8bc1\u9009\u53d6\u6700\u4f18\u5b50\u6811 \\(\\displaystyle T_{\\alpha}\\) </li> </ol>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#6","title":"6 \u903b\u8f91\u65af\u8c1b\u56de\u5f52\u4e0e\u6700\u5927\u71b5\u6a21\u578b","text":"<ul> <li>logistic regression</li> <li>maximum entropy model</li> <li>\u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b\u548c\u6700\u5927\u71b5\u6a21\u578b\u90fd\u5c5e\u4e8e\u5bf9\u6570\u7ebf\u6027\u6a21\u578b</li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#61","title":"6.1 \u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#611","title":"6.1.1 \u903b\u8f91\u65af\u8c1b\u5206\u5e03","text":"<ul> <li>logistic distribution </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#612","title":"6.1.2 \u4e8c\u9879\u903b\u8f91\u65af\u8c1b\u56de\u5f52\u6a21\u578b","text":"<ul> <li>binomial logistic regression model </li> </ul>"},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#7","title":"7 \u652f\u6301\u5411\u91cf\u673a","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#8","title":"8 \u63d0\u5347\u65b9\u6cd5","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#9-displaystyle-boldsymbolem","title":"9 \\(\\displaystyle \\boldsymbol{EM}\\) \u7b97\u6cd5\u53ca\u5176\u63a8\u5e7f","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#10","title":"10 \u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b","text":""},{"location":"AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/#11_1","title":"11 \u6761\u4ef6\u968f\u673a\u573a","text":""},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/","title":"Image Classification-Data-driven Approach, k-Nearest Neighbor, train_val_test splits","text":"<p> \u7ea6 653 \u4e2a\u5b57  28 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#image-classification","title":"image classification","text":"<ul> <li>challenges<ul> <li>viewpoint variation</li> <li>scale variation</li> <li>deformation</li> <li>occlusion</li> <li>illumination conditions</li> <li>background clutter</li> <li>intra-class variation</li> </ul> </li> <li>data-driven approach</li> <li>the image classification pipeline<ul> <li>input</li> <li>learning<ul> <li>training a classifier</li> <li>learning a model</li> </ul> </li> <li>evaluation</li> </ul> </li> </ul>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#nearest-neighbor-classifier","title":"Nearest Neighbor Classifier","text":"\\[ d_1 (I_1, I_2) = \\sum_{p} \\left| I^p_1 - I^p_2 \\right| \\] Python<pre><code>import numpy as np\n\nclass NearestNeighbor(object):  \n  def **init**(self):  \n    pass\n\n  def train(self, X, y):  \n    \"\"\" X is N x D where each row is an example. Y is 1-dimension of size N \"\"\"  \n    # the nearest neighbor classifier simply remembers all the training data  \n    self.Xtr = X  \n    self.ytr = y\n\n  def predict(self, X):  \n    \"\"\" X is N x D where each row is an example we wish to predict label for \"\"\"  \n    num_test = X.shape[0]  \n    # lets make sure that the output type matches the input type  \n    Ypred = np.zeros(num_test, dtype = self.ytr.dtype)\n\n    # loop over all test rows\n    for i in range(num_test):\n      # find the nearest training image to the i'th test image\n      # using the L1 distance (sum of absolute value differences)\n      distances = np.sum(np.abs(self.Xtr - X[i,:]), axis = 1)\n      min_index = np.argmin(distances) # get the index with smallest distance\n      Ypred[i] = self.ytr[min_index] # predict the label of the nearest example\n\n    return Ypred\n</code></pre> \\[ d_2 (I_1, I_2) = \\sqrt{\\sum_{p} \\left( I^p_1 - I^p_2 \\right)^2} \\] Python<pre><code>distances = np.sqrt(np.sum(np.square(self.Xtr - X[i,:]), axis = 1))\n</code></pre>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#k-nearest-neighbor-classifier","title":"k - Nearest Neighbor Classifier","text":"<p>![[Pasted image 20241031202452.jpg]]</p>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#validation-sets-for-hyperparameter-tuning","title":"Validation sets for Hyperparameter tuning","text":"<p>Evaluate on the test only a single time, at the very end</p> <p>Split your training set into training set and a validation set. Use validation set to tune all hyperparameters. At the end run a single time on the test set and report performance.</p> <ul> <li>cross-validation</li> <li>single calidation split ![[Pasted image 20241031202849.png]]</li> </ul>"},{"location":"AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/#pros-and-cons-of-nearest-neighbor-classifier","title":"Pros and Cons of Nearest Neighbor classifier","text":"<ul> <li>simple to implement and understand</li> <li>take no time to train</li> <li>however, pay a cost at test time</li> </ul> <p>As an aside, the computational complexity of the Nearest Neighbor classifier is an active area of research, and several\u00a0Approximate Nearest Neighbor\u00a0(ANN) algorithms and libraries exist that can accelerate the nearest neighbor lookup in a dataset (e.g.\u00a0FLANN). These algorithms allow one to trade off the correctness of the nearest neighbor retrieval with its space/time complexity during retrieval, and usually rely on a pre-processing/indexing stage that involves building a kdtree, or running the k-means algorithm.</p> <ul> <li>\\(\\displaystyle L_{2}\\) isn't enough sensitive</li> </ul> <p>In particular, note that images that are nearby each other are much more a function of the general color distribution of the images, or the type of background rather than their semantic identity.</p> <p>[!note]+ Applying kNN in practice 1. Preprocess your data: Normalize the features in your data (e.g. one pixel in images) to have zero mean and unit variance. We will cover this in more detail in later sections, and chose not to cover data normalization in this section because pixels in images are usually homogeneous and do not exhibit widely different distributions, alleviating the need for data normalization. 2. If your data is very high-dimensional, consider using a dimensionality reduction technique such as PCA (wiki ref,\u00a0CS229ref,\u00a0blog ref), NCA (wiki ref,\u00a0blog ref), or even\u00a0Random Projections. 3. Split your training data randomly into train/val splits. As a rule of thumb, between 70-90% of your data usually goes to the train split. This setting depends on how many hyperparameters you have and how much of an influence you expect them to have. If there are many hyperparameters to estimate, you should err on the side of having larger validation set to estimate them effectively. If you are concerned about the size of your validation data, it is best to split the training data into folds and perform cross-validation. If you can afford the computational budget it is always safer to go with cross-validation (the more folds the better, but more expensive). 4. Train and evaluate the kNN classifier on the validation data (for all folds, if doing cross-validation) for many choices of\u00a0k\u00a0(e.g. the more the better) and across different distance types (L1 and L2 are good candidates) 5. If your kNN classifier is running too long, consider using an Approximate Nearest Neighbor library (e.g.\u00a0FLANN) to accelerate the retrieval (at cost of some accuracy). 6. Take note of the hyperparameters that gave the best results. There is a question of whether you should use the full training set with the best hyperparameters, since the optimal hyperparameters might change if you were to fold the validation data into your training set (since the size of the data would be larger). In practice it is cleaner to not use the validation data in the final classifier and consider it to be\u00a0burned\u00a0on estimating the hyperparameters. Evaluate the best model on the test set. Report the test set accuracy and declare the result to be the performance of the kNN classifier on your data.</p> <p>[[more about Machine Learing]]</p>"},{"location":"AI/CS231n/Linear%20classification-Support%20Vector%20Machine%2C%20Softmax/","title":"Linear classification-Support Vector Machine, Softmax","text":"<p> \u7ea6 129 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p>"},{"location":"AI/CS231n/Linear%20classification-Support%20Vector%20Machine%2C%20Softmax/#linear-classifiaction","title":"Linear Classifiaction","text":"\\[ L_i = \\sum_{j\\neq y_i} \\max(0, s_j - s_{y_i} + \\Delta) \\] \\[ L = \\frac{1}{N} \\sum_i \\sum_{j\\neq y_i} \\left[ \\max(0, f(x_i; W)_j - f(x_i; W)_{y_i} + \\Delta) \\right] + \\lambda \\sum_k\\sum_l W_{k,l}^2 \\] \\[ L_i = -\\log\\left(\\frac{e^{f_{y_i}}}{ \\sum_j e^{f_j} }\\right) \\hspace{0.5in} \\text{or equivalently} \\hspace{0.5in} L_i = -f_{y_i} + \\log\\sum_j e^{f_j} \\] \\[ \\frac{e^{f_{y_i}}}{\\sum_j e^{f_j}} = \\frac{Ce^{f_{y_i}}}{C\\sum_j e^{f_j}} = \\frac{e^{f_{y_i} + \\log C}}{\\sum_j e^{f_j + \\log C}} \\] <p>![[Pasted image 20241031210509.png]]</p>"},{"location":"AI/CS231n/Python%20Numpy/","title":"Python Numpy","text":""},{"location":"AI/CS231n/Python%20Numpy/#python","title":"Python","text":""},{"location":"AI/CS231n/Python%20Numpy/#string","title":"string","text":"Python<pre><code>s = \"hello\"\nprint(s.capitalize())  # Capitalize a string; prints \"Hello\"\nprint(s.upper())       # Convert a string to uppercase; prints \"HELLO\"\nprint(s.rjust(7))      # Right-justify a string, padding with spaces; prints \"  hello\"\nprint(s.center(7))     # Center a string, padding with spaces; prints \" hello \"\nprint(s.replace('l', '(ell)'))  # Replace all instances of one substring with another;\n                                # prints \"he(ell)(ell)o\"\n&lt;div markdown=\"1\" style=\"margin-top: -30px; font-size: 0.75em; opacity: 0.7;\"&gt;\n:material-circle-edit-outline: \u7ea6 49 \u4e2a\u5b57 :fontawesome-solid-code: 104 \u884c\u4ee3\u7801 :material-clock-time-two-outline: \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f\n&lt;/div&gt;\nprint('  world '.strip())  # Strip leading and trailing whitespace; prints \"world\"\n</code></pre>"},{"location":"AI/CS231n/Python%20Numpy/#containers","title":"Containers","text":"Python<pre><code>animals = ['cat', 'dog', 'monkey']\nfor idx, animal in enumerate(animals):\n    print('#%d: %s' % (idx + 1, animal))\n# Prints \"#1: cat\", \"#2: dog\", \"#3: monkey\", each on its own line\n</code></pre> <p>\u5217\u8868\u63a8\u5bfc\u5f0f</p> Python<pre><code>nums = [0, 1, 2, 3, 4]\neven_squares = [x ** 2 for x in nums if x % 2 == 0]\nprint(even_squares)  # Prints \"[0, 4, 16]\"\n</code></pre> <p>\u540c\u6837\u4e5f\u6709\u5b57\u5178\u63a8\u5bfc\u5f0f</p> <p>Tuples \u53ef\u4ee5\u7528\u4f5c\u5b57\u5178\u4e2d\u7684\u952e\u548c\u96c6\u5408\u7684\u5143\u7d20\uff0c\u4f46\u662f lists \u4e0d\u80fd</p>"},{"location":"AI/CS231n/Python%20Numpy/#numpy","title":"Numpy","text":"Python<pre><code>import numpy as np\n\n# Create a new array from which we will select elements\na = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n\nprint(a)  # prints \"array([[ 1,  2,  3],\n          #                [ 4,  5,  6],\n          #                [ 7,  8,  9],\n          #                [10, 11, 12]])\"\n\n# Create an array of indices\nb = np.array([0, 2, 0, 1])\n\n# Select one element from each row of a using the indices in b\nprint(a[np.arange(4), b])  # Prints \"[ 1  6  7 11]\"\n\n# Mutate one element from each row of a using the indices in b\na[np.arange(4), b] += 10\n\nprint(a)  # prints \"array([[11,  2,  3],\n          #                [ 4,  5, 16],\n          #                [17,  8,  9],\n          #                [10, 21, 12]])\n</code></pre> Python<pre><code>import numpy as np\n\na = np.array([[1,2], [3, 4], [5, 6]])\n\nbool_idx = (a &gt; 2)   # Find the elements of a that are bigger than 2;\n                     # this returns a numpy array of Booleans of the same\n                     # shape as a, where each slot of bool_idx tells\n                     # whether that element of a is &gt; 2.\n\nprint(bool_idx)      # Prints \"[[False False]\n                     #          [ True  True]\n                     #          [ True  True]]\"\n\n# We use boolean array indexing to construct a rank 1 array\n# consisting of the elements of a corresponding to the True values\n# of bool_idx\nprint(a[bool_idx])  # Prints \"[3 4 5 6]\"\n\n# We can do all of the above in a single concise statement:\nprint(a[a &gt; 2])     # Prints \"[3 4 5 6]\"\n</code></pre> Python<pre><code>x = np.array([1, 2], dtype=np.int64)   # Force a particular datatype\nprint(x.dtype)                         # Prints \"int64\"\n</code></pre> Python<pre><code>import numpy as np\n\nx = np.array([[1,2],[3,4]], dtype=np.float64)\ny = np.array([[5,6],[7,8]], dtype=np.float64)\n\n# Elementwise sum; both produce the array\n# [[ 6.0  8.0]\n#  [10.0 12.0]]\nprint(x + y)\nprint(np.add(x, y))\n\n# Elementwise difference; both produce the array\n# [[-4.0 -4.0]\n#  [-4.0 -4.0]]\nprint(x - y)\nprint(np.subtract(x, y))\n\n# Elementwise product; both produce the array\n# [[ 5.0 12.0]\n#  [21.0 32.0]]\nprint(x * y)\nprint(np.multiply(x, y))\n\n# Elementwise division; both produce the array\n# [[ 0.2         0.33333333]\n#  [ 0.42857143  0.5       ]]\nprint(x / y)\nprint(np.divide(x, y))\n\n# Elementwise square root; produces the array\n# [[ 1.          1.41421356]\n#  [ 1.73205081  2.        ]]\nprint(np.sqrt(x))\n</code></pre> <p>\u5e7f\u64ad\u53ef\u4ee5\u907f\u514d\u5faa\u73af</p> Python<pre><code>import numpy as np\n\n# We will add the vector v to each row of the matrix x,\n# storing the result in the matrix y\nx = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\nv = np.array([1, 0, 1])\ny = x + v  # Add v to each row of x using broadcasting\nprint(y)  # Prints \"[[ 2  2  4]\n          #          [ 5  5  7]\n          #          [ 8  8 10]\n          #          [11 11 13]]\"\n</code></pre>"},{"location":"AI/CS231n/Python%20Numpy/#scipy","title":"SciPy","text":""},{"location":"AI/CS231n/Python%20Numpy/#matplotlib","title":"Matplotlib","text":""},{"location":"AI/EECS%20498-007/KNN/","title":"KNN","text":"<p> \u7ea6 374 \u4e2a\u5b57  100 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u5bf9\u4e8e\u4e00\u4e2a\u5f85\u5206\u7c7b\u7684\u6837\u672c\uff0c\u627e\u5230\u8bad\u7ec3\u6570\u636e\u96c6\u4e2d\u4e0e\u5176\u6700\u63a5\u8fd1\u7684K\u4e2a\u6837\u672c\uff08\u5373\u6700\u8fd1\u90bb\uff09\uff0c\u7136\u540e\u6839\u636e\u8fd9K\u4e2a\u6837\u672c\u7684\u7c7b\u522b\u6765\u51b3\u5b9a\u5f85\u5206\u7c7b\u6837\u672c\u7684\u7c7b\u522b\u3002</p>"},{"location":"AI/EECS%20498-007/KNN/#_1","title":"\u6570\u5b66\u63a8\u5bfc","text":"<p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u8bad\u7ec3\u6570\u636e\u96c6 \\(T = \\{(x_1, y_1), (x_2, y_2), \\ldots, (x_N, y_N)\\}\\)\uff0c\u5176\u4e2d \\(x_i\\) \u662f\u7279\u5f81\u5411\u91cf\uff0c \\(y_i\\) \u662f\u5bf9\u5e94\u7684\u7c7b\u522b\u6807\u7b7e\u3002\u5bf9\u4e8e\u4e00\u4e2a\u65b0\u7684\u5f85\u5206\u7c7b\u6837\u672c x\uff0cKNN\u7b97\u6cd5\u7684\u76ee\u6807\u662f\u9884\u6d4b\u5176\u7c7b\u522b \\(y\\) \u3002</p> <ol> <li>\u8ddd\u79bb\u5ea6\u91cf\uff1a\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u8ddd\u79bb\u5ea6\u91cf\u6765\u8ba1\u7b97\u5f85\u5206\u7c7b\u6837\u672c \\(x\\) \u4e0e\u8bad\u7ec3\u96c6\u4e2d\u6bcf\u4e2a\u6837\u672c \\(x_i\\) \u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u5e38\u7528\u7684\u8ddd\u79bb\u5ea6\u91cf\u5305\u62ec\u6b27\u6c0f\u8ddd\u79bb\uff08Euclidean distance\uff09\u3001\u66fc\u54c8\u987f\u8ddd\u79bb\uff08Manhattan distance\uff09\u548c\u95f5\u53ef\u592b\u65af\u57fa\u8ddd\u79bb\uff08Minkowski distance\uff09\u3002\u4ee5\u6b27\u6c0f\u8ddd\u79bb\u4e3a\u4f8b\uff0c\u4e24\u4e2a\u6837\u672c \\(x\\) \u548c \\(x_i\\) \u4e4b\u95f4\u7684\u8ddd\u79bb\u5b9a\u4e49\u4e3a\uff1a</li> </ol> \\[    d(x, x_i) = \\sqrt{\\sum_{j=1}^{d} (x_j - x_{i,j})^2} \\] <p>\u5176\u4e2d\uff0c \\(d\\) \u662f\u7279\u5f81\u7684\u7ef4\u5ea6\u3002</p> <ol> <li>\u5bfb\u627e\u6700\u8fd1\u90bb\uff1a\u7136\u540e\uff0c\u6211\u4eec\u6839\u636e\u8ba1\u7b97\u51fa\u7684\u8ddd\u79bb\uff0c\u9009\u62e9\u8ddd\u79bb\u6700\u8fd1\u7684K\u4e2a\u6837\u672c\uff0c\u6784\u6210\u5f85\u5206\u7c7b\u6837\u672c\u7684\u90bb\u57df \\(N_k(x)\\)\u3002</li> <li>\u51b3\u7b56\u89c4\u5219\uff1a\u6700\u540e\uff0c\u6839\u636e\u90bb\u57df \\( N_k(x) \\) \u4e2d\u7684\u6837\u672c\u7c7b\u522b\uff0c\u901a\u8fc7\u591a\u6570\u6295\u7968\u7684\u65b9\u5f0f\u6765\u51b3\u5b9a\u5f85\u5206\u7c7b\u6837\u672c\u7684\u7c7b\u522b\u3002\u5373\uff1a</li> </ol> \\[     y = \\arg\\max_{c_j} \\sum_{x_i \\in N_k(x)} I(y_i = c_j) \\] <p>\u5176\u4e2d\uff0c \\(I\\) \u662f\u6307\u793a\u51fd\u6570\uff0c\u5f53 \\(y_i = c_j\\) \u65f6\u53d6\u503c\u4e3a1\uff0c\u5426\u5219\u4e3a0\u3002</p>"},{"location":"AI/EECS%20498-007/KNN/#_2","title":"\u4f5c\u4e1a\u4e2d\u7684\u5b9e\u73b0","text":"Python<pre><code>import torch\n\ndef compute_distances_two_loops(x_train, x_test):\n  num_train = x_train.shape[0]\n  num_test = x_test.shape[0]\n  dists = x_train.new_zeros(num_train, num_test)\n\n  for i in range(num_train):\n    for j in range(num_test):\n      dists[i,j] = ((x_train[i] - x_test[j]) ** 2).sum() ** (1/2)\n\n  return dists\n\ndef compute_distances_one_loop(x_train, x_test):\n  num_train = x_train.shape[0]\n  num_test = x_test.shape[0]\n  dists = x_train.new_zeros(num_train, num_test)\n\n  for i in range(num_train):\n    dists[i] = ((x_train[i] - x_test) ** 2).sum(dim=(1,2,3)) ** (1/2)\n\n  return dists\n\ndef compute_distances_no_loops(x_train, x_test):\n  num_train = x_train.shape[0]\n  num_test = x_test.shape[0]\n  dists = x_train.new_zeros(num_train, num_test)\n\n  A = x_train.reshape(num_train, -1)\n  B = x_test.reshape(num_test, -1)\n  AB2 = A.mm(B.T) * 2\n  dists = ((A ** 2).sum(dim=1).reshape(-1, 1) - AB2 + (B ** 2).sum(dim=1).reshape(1, -1)) ** (1/2)\n\n  return dists\n\ndef predict_labels(dists, y_train, k=1):\n  num_train, num_test = dists.shape\n  y_pred = torch.zeros(num_test, dtype=torch.int64)\n\n  values, indices = torch.topk(dists, k, dim=0, largest=False)\n  for i in range(indices.shape[1]):\n    _, idx = torch.max(y_train[indices[:, i]].bincount(), dim=0)\n    y_pred[i] = idx\n\n  return y_pred\n\nclass KnnClassifier:\n  def __init__(self, x_train, y_train):\n    self.x_train = x_train\n    self.y_train = y_train\n\n  def predict(self, x_test, k=1):\n    dists = compute_distances_no_loops(self.x_train, x_test)\n    y_test_pred = predict_labels(dists, self.y_train, k)\n    return y_test_pred\n\n  def check_accuracy(self, x_test, y_test, k=1, quiet=False):\n    y_test_pred = self.predict(x_test, k=k)\n    num_samples = x_test.shape[0]\n    num_correct = (y_test == y_test_pred).sum().item()\n    accuracy = 100.0 * num_correct / num_samples\n    msg = (f'Got {num_correct} / {num_samples} correct; accuracy is {accuracy:.2f}%')\n    if not quiet:\n      print(msg)\n    return accuracy\n\ndef knn_cross_validate(x_train, y_train, num_folds=5, k_choices=None):\n  if k_choices is None:\n    k_choices = [1, 3, 5, 8, 10, 12, 15, 20, 50, 100]\n\n  x_train_folds = torch.chunk(x_train, num_folds, dim=0)\n  y_train_folds = torch.chunk(y_train, num_folds, dim=0)\n\n  k_to_accuracies = {}\n\n  for k in k_choices:\n    list_of_acc = []\n    for num_fold in range(num_folds):\n      x_train_folds_local = [x for x in x_train_folds]\n      y_train_folds_local = [x for x in y_train_folds]\n      x_test = x_train_folds_local[num_fold]\n      y_test = y_train_folds_local[num_fold]\n      del x_train_folds_local[num_fold]\n      del y_train_folds_local[num_fold]\n      x_train = torch.cat(x_train_folds_local, dim=0)\n      y_train = torch.cat(y_train_folds_local, dim=0)\n      classifier = KnnClassifier(x_train, y_train)\n      list_of_acc.append(classifier.check_accuracy(x_test, y_test, k))\n    k_to_accuracies[k] = list_of_acc\n\n  return k_to_accuracies\n\ndef knn_get_best_k(k_to_accuracies):\n  best_k = 0\n  new_dict = {}\n  for k, accs in sorted(k_to_accuracies.items()):\n    new_dict[k] = sum(accs) / len(accs) \n  max_value = max(new_dict.values())\n  best_k = [k for k, v in new_dict.items() if v == max_value][0]\n  return best_k\n</code></pre>"},{"location":"AI/EECS%20498-007/linear_classifer/","title":"Linear classifer","text":"<p> \u7ea6 677 \u4e2a\u5b57  216 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_1","title":"\u539f\u7406","text":"<p>\u4e24\u79cd\u7ebf\u6027\u5206\u7c7b\u5668\uff1a\u652f\u6301\u5411\u91cf\u673a\uff08SVM\uff09\u548cSoftmax\u5206\u7c7b\u5668\u3002\u8fd9\u4e24\u79cd\u5206\u7c7b\u5668\u90fd\u662f\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\uff0c\u7528\u4e8e\u5206\u7c7b\u4efb\u52a1\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#svm","title":"\u652f\u6301\u5411\u91cf\u673a\uff08SVM\uff09","text":"<p>SVM\u7684\u76ee\u6807\u662f\u627e\u5230\u4e00\u4e2a\u8d85\u5e73\u9762\uff0c\u5b83\u53ef\u4ee5\u6700\u5927\u5316\u4e0d\u540c\u7c7b\u522b\u4e4b\u95f4\u7684\u8fb9\u754c\u3002\u8fd9\u4e2a\u8d85\u5e73\u9762\u88ab\u79f0\u4e3a\u6700\u4f18\u5206\u5272\u8d85\u5e73\u9762\u3002\u5bf9\u4e8e\u4e8c\u5206\u7c7b\u95ee\u9898\uff0cSVM\u7684\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W, b) = \\frac{1}{N} \\sum_{i=1}^{N} \\max(0, 1 - y_i (W \\cdot x_i + b)) \\] <p>\u5176\u4e2d\uff0c\\(W\\) \u662f\u6743\u91cd\u5411\u91cf\uff0c\\(b\\) \u662f\u504f\u7f6e\u9879\uff0c\\(x_i\\) \u662f\u8f93\u5165\u7279\u5f81\uff0c\\(y_i\\) \u662f\u6807\u7b7e\uff08-1\u62161\uff09\uff0c\\(N\\) \u662f\u6837\u672c\u6570\u91cf\u3002</p> <p>\u4e3a\u4e86\u5b9e\u73b0\u591a\u5206\u7c7b\uff0c\u6211\u4eec\u4f7f\u7528\u7ed3\u6784\u5316SVM\u635f\u5931\u51fd\u6570\uff0c\u5b83\u8003\u8651\u4e86\u6bcf\u4e2a\u7c7b\u522b\u7684\u5206\u6570\uff0c\u5e76\u5c1d\u8bd5\u6700\u5927\u5316\u6b63\u786e\u7c7b\u522b\u7684\u5206\u6570\u4e0e\u6b21\u9ad8\u7c7b\u522b\u5206\u6570\u4e4b\u95f4\u7684\u5dee\u8ddd\u3002\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W) = \\frac{1}{N} \\sum_{i=1}^{N} \\sum_{j \\neq y_i} \\max(0, \\text{score}_j - \\text{score}_{y_i} + \\Delta) \\] <p>\u5176\u4e2d\uff0c\\(\\text{score}_j = W_j \\cdot x_i\\)\uff0c\\(\\Delta\\) \u662f\u4e00\u4e2a\u5e38\u6570\uff0c\u901a\u5e38\u8bbe\u7f6e\u4e3a1\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#softmax","title":"Softmax\u5206\u7c7b\u5668","text":"<p>Softmax\u5206\u7c7b\u5668\u4f7f\u7528Softmax\u51fd\u6570\u5c06\u8f93\u5165\u7279\u5f81\u6620\u5c04\u5230\u6982\u7387\u5206\u5e03\u4e0a\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u6837\u672c\uff0cSoftmax\u51fd\u6570\u8f93\u51fa\u6bcf\u4e2a\u7c7b\u522b\u7684\u6982\u7387\u3002Softmax\u51fd\u6570\u5b9a\u4e49\u4e3a\uff1a</p> \\[ \\text{softmax}(z_i) = \\frac{e^{z_i}}{\\sum_{j=1}^{K} e^{z_j}} \\] <p>\u5176\u4e2d\uff0c\\(z_i\\) \u662f\u7b2c\\(i\\)\u4e2a\u7c7b\u522b\u7684\u5206\u6570\uff0c\\(K\\) \u662f\u7c7b\u522b\u603b\u6570\u3002</p> <p>Softmax\u5206\u7c7b\u5668\u7684\u635f\u5931\u51fd\u6570\u662f\u4ea4\u53c9\u71b5\u635f\u5931\uff0c\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W) = -\\frac{1}{N} \\sum_{i=1}^{N} \\sum_{j=1}^{K} y_{ij} \\log(\\text{softmax}(z_j)) \\] <p>\u5176\u4e2d\uff0c\\(y_{ij}\\) \u662f\u4e00\u4e2a\u6307\u793a\u53d8\u91cf\uff0c\u5982\u679c\u6837\u672c\\(i\\)\u5c5e\u4e8e\u7c7b\u522b\\(j\\)\uff0c\u5219\u4e3a1\uff0c\u5426\u5219\u4e3a0\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_2","title":"\u6b63\u5219\u5316","text":"<p>\u4e3a\u4e86\u9632\u6b62\u8fc7\u62df\u5408\uff0c\u6211\u4eec\u5728\u635f\u5931\u51fd\u6570\u4e2d\u6dfb\u52a0\u4e86\u6b63\u5219\u5316\u9879\u3002L2\u6b63\u5219\u5316\u7684\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a</p> \\[ L(W) = L(W) + \\lambda \\lVert W \\rVert^2 \\] <p>\u5176\u4e2d\uff0c\\(\\lambda\\) \u662f\u6b63\u5219\u5316\u5f3a\u5ea6\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_3","title":"\u4ee3\u7801\u5b9e\u73b0","text":"<p>\u4ee3\u7801\u4e2d\u5b9e\u73b0\u4e86\u4e24\u79cd\u635f\u5931\u51fd\u6570\u7684\u6734\u7d20\u7248\u672c\uff08<code>svm_loss_naive</code> \u548c <code>softmax_loss_naive</code>\uff09\u548c\u5411\u91cf\u5316\u7248\u672c\uff08<code>svm_loss_vectorized</code> \u548c <code>softmax_loss_vectorized</code>\uff09\u3002\u5411\u91cf\u5316\u7248\u672c\u901a\u8fc7\u907f\u514d\u663e\u5f0f\u5faa\u73af\u6765\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u3002</p> <p>\u8bad\u7ec3\u8fc7\u7a0b\uff08<code>train_linear_classifier</code>\uff09\u4f7f\u7528\u968f\u673a\u68af\u5ea6\u4e0b\u964d\uff08SGD\uff09\u6765\u4f18\u5316\u635f\u5931\u51fd\u6570\u3002\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u6211\u4eec\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6279\u6b21\u7684\u6837\u672c\uff0c\u8ba1\u7b97\u635f\u5931\u548c\u68af\u5ea6\uff0c\u7136\u540e\u66f4\u65b0\u6743\u91cd\u3002</p> <p>\u9884\u6d4b\u8fc7\u7a0b\uff08<code>predict_linear_classifier</code>\uff09\u4f7f\u7528\u8bad\u7ec3\u597d\u7684\u6743\u91cd\u6765\u9884\u6d4b\u65b0\u6837\u672c\u7684\u7c7b\u522b\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_4","title":"\u8d85\u53c2\u6570\u641c\u7d22","text":"<p>\u4ee3\u7801\u4e2d\u8fd8\u5305\u542b\u4e86\u8d85\u53c2\u6570\u641c\u7d22\u7684\u51fd\u6570\uff08<code>svm_get_search_params</code> \u548c <code>softmax_get_search_params</code>\uff09\uff0c\u5b83\u4eec\u8fd4\u56de\u4e0d\u540c\u7684\u5b66\u4e60\u7387\u548c\u6b63\u5219\u5316\u5f3a\u5ea6\u7684\u5019\u9009\u503c\uff0c\u4ee5\u4fbf\u627e\u5230\u6700\u4f73\u7684\u6a21\u578b\u53c2\u6570\u3002</p>"},{"location":"AI/EECS%20498-007/linear_classifer/#_5","title":"\u4f5c\u4e1a\u5b9e\u73b0","text":"Python<pre><code>import torch\nimport random\nfrom abc import abstractmethod\n\ndef hello_linear_classifier():\n  print('Hello from linear_classifier.py!')\n\nclass LinearClassifier(object):\n  def __init__(self):\n    random.seed(0)\n    torch.manual_seed(0)\n    self.W = None\n\n  def train(self, X_train, y_train, learning_rate=1e-3, reg=1e-5, num_iters=100,\n            batch_size=200, verbose=False):\n    train_args = (self.loss, self.W, X_train, y_train, learning_rate, reg,\n                  num_iters, batch_size, verbose)\n    self.W, loss_history = train_linear_classifier(*train_args)\n    return loss_history\n\n  def predict(self, X):\n    return predict_linear_classifier(self.W, X)\n\n  @abstractmethod\n  def loss(self, W, X_batch, y_batch, reg):\n    raise NotImplementedError\n\n  def _loss(self, X_batch, y_batch, reg):\n    self.loss(self.W, X_batch, y_batch, reg)\n\n  def save(self, path):\n    torch.save({'W': self.W}, path)\n    print(\"Saved in {}\".format(path))\n\n  def load(self, path):\n    W_dict = torch.load(path, map_location='cpu')\n    self.W = W_dict['W']\n    print(\"load checkpoint file: {}\".format(path))\n\n\nclass LinearSVM(LinearClassifier):\n  def loss(self, W, X_batch, y_batch, reg):\n    return svm_loss_vectorized(W, X_batch, y_batch, reg)\n\n\nclass Softmax(LinearClassifier):\n  def loss(self, W, X_batch, y_batch, reg):\n    return softmax_loss_vectorized(W, X_batch, y_batch, reg)\n\n\ndef svm_loss_naive(W, X, y, reg):\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n  loss = 0.0\n  for i in range(num_train):\n    scores = W.t().mv(X[i])\n    correct_class_score = scores[y[i]]\n    for j in range(num_classes):\n      if j == y[i]:\n        continue\n      margin = scores[j] - correct_class_score + 1\n      if margin &gt; 0:\n        loss += margin\n        dW[:, j] += X[i]\n        dW[:, y[i]] -= X[i]\n\n  loss /= num_train\n  loss += reg * torch.sum(W * W)\n  dW /= num_train\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef svm_loss_vectorized(W, X, y, reg):\n  loss = 0.0\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n  scores = X.mm(W)\n  correct_class_score = scores[range(num_train), y]\n  margin = scores - correct_class_score.view(-1, 1) + 1\n  margin[range(num_train), y] = 0\n  mask = (margin &gt; 0)\n  loss = margin[mask].sum()\n  mask_correct_y = torch.zeros_like(scores, dtype=torch.bool)\n  mask_correct_y[range(num_train), y] = True\n  margin[margin &gt; 0] = 1\n  margin[margin &lt; 0] = 0\n  margin[mask_correct_y] = torch.sum(margin, axis=1) * -1\n  dW = margin.T.mm(X).T\n  loss /= num_train\n  dW /= num_train\n  loss += reg * torch.sum(W * W)\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef sample_batch(X, y, num_train, batch_size):\n  indices = torch.randint(num_train, (batch_size,))\n  y_batch = y[indices]\n  X_batch = X[indices]\n  return X_batch, y_batch\n\n\ndef train_linear_classifier(loss_func, W, X, y, learning_rate=1e-3,\n                            reg=1e-5, num_iters=100, batch_size=200,\n                            verbose=False):\n  num_train, dim = X.shape\n  if W is None:\n    num_classes = torch.max(y) + 1\n    W = 0.000001 * torch.randn(dim, num_classes, device=X.device, dtype=X.dtype)\n  else:\n    num_classes = W.shape[1]\n\n  loss_history = []\n  for it in range(num_iters):\n    X_batch, y_batch = sample_batch(X, y, num_train, batch_size)\n    loss, grad = loss_func(W, X_batch, y_batch, reg)\n    loss_history.append(loss.item())\n    W -= learning_rate * grad\n    if verbose and it % 100 == 0:\n      print('iteration %d / %d: loss %f' % (it, num_iters, loss))\n\n  return W, loss_history\n\n\ndef predict_linear_classifier(W, X):\n  y_pred = torch.zeros(X.shape[0], dtype=torch.int64)\n  _, y_pred = X.mm(W).max(dim=1)\n  return y_pred\n\n\ndef svm_get_search_params():\n  learning_rates = [0.000001, 0.0001, 0.001, 0.005, 0.01, 0.05]\n  regularization_strengths = [0.001, 0.5, 1, 3]\n  return learning_rates, regularization_strengths\n\n\ndef test_one_param_set(cls, data_dict, lr, reg, num_iters=2000):\n  train_acc = 0.0\n  val_acc = 0.0\n  cls.train(data_dict['X_train'], data_dict['y_train'], lr, reg, num_iters,\n            batch_size=200, verbose=False)\n  y_train_pred = cls.predict(data_dict['X_train'])\n  train_acc = 100.0 * (data_dict['y_train'] == y_train_pred).double().mean().item()\n\n  y_test_pred = cls.predict(data_dict['X_val'])\n  val_acc = 100.0 * (data_dict['y_val'] == y_test_pred).double().mean().item()\n\n  return cls, train_acc, val_acc\n\n\ndef softmax_loss_naive(W, X, y, reg):\n  loss = 0.0\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n\n  scores = W.t().mv(X[0])\n  correct_class_score = scores[y[0]]\n\n  for i in range(num_train):\n    scores = W.t().mv(X[i])\n    scores = scores - scores.max()\n    correct_class_score = scores[y[i]]\n    loss += -correct_class_score + torch.log(torch.exp(scores).sum())\n    for j in range(num_classes):\n      if j == y[i]:\n        dW[:, j] += torch.exp(scores[j]) / torch.exp(scores).sum() * X[i, :] - X[i, :]\n      else:\n        dW[:, j] += torch.exp(scores[j]) / torch.exp(scores).sum() * X[i, :]\n\n  loss /= num_train\n  loss += reg * torch.sum(W * W)\n  dW /= num_train\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef softmax_loss_vectorized(W, X, y, reg):\n  loss = 0.0\n  dW = torch.zeros_like(W)\n  num_classes = W.shape[1]\n  num_train = X.shape[0]\n\n\n  scores = X.mm(W)\n  val, _ = scores.max(dim=1)\n  scores = scores - val.view(-1, 1)\n  exp_scores = scores.exp()\n  exp_scores_sum = exp_scores.sum(dim=1)\n  exp_scores_sum_log = exp_scores_sum.log()\n  correct_class_scores = scores[range(num_train), y]\n  loss = (exp_scores_sum_log - correct_class_scores).sum()\n  zeros = torch.zeros((num_train, num_classes), dtype=torch.float64, device='cuda')\n  zeros[range(num_train), y] = -1\n  minus_X = zeros.t().mm(X)\n  dW += minus_X.t()\n  dW += ((exp_scores / exp_scores_sum.view(-1, 1)).t().mm(X)).t()\n\n  loss /= num_train\n  loss += reg * torch.sum(W * W)\n  dW /= num_train\n  dW += 2 * reg * W\n\n  return loss, dW\n\n\ndef softmax_get_search_params():\n  learning_rates = [1e-4, 1e-3,1e-2, 1e-1, 1]\n  regularization_strengths = [1e-4, 1e-3, 1e-2, 1e-1] \n  return learning_rates, regularization_strengths\n</code></pre>"},{"location":"AI/EECS%20498-007/pytorch%20%E7%9A%84%E5%9F%BA%E6%9C%AC%E4%BD%BF%E7%94%A8/","title":"pytorch \u7684\u57fa\u672c\u4f7f\u7528","text":"<p> \u7ea6 564 \u4e2a\u5b57  45 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> Python<pre><code># Create a rank 1 tensor from a Python list\na = torch.tensor([[1, 2, 3], [4, 5, 6]])\nprint('Here is a:')\nprint(a)\nprint('type(a): ', type(a))\nprint('rank of a: ', a.dim())\nprint('a.shape: ', a.shape)\n\ntorch.zeros(2, 3)\ntorch.ones(2, 3)\ntorch.eye(3)\ntorch.rand(2, 3)\ntorch.full((M, N), 3.14)\n\ny2 = torch.tensor([1, 2], dtype=torch.int64)\nprint(y2.dtype)\n\nx3 = x0.to(torch.float32)\n\nx0 = torch.eye(3, dtype=torch.float64) \u00a0# Shape (3, 3), dtype torch.float64\nx1 = torch.zeros_like(x0) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # Shape (3, 3), dtype torch.float64\nx2 = x0.new_zeros(4, 5) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # Shape (4, 5), dtype torch.float64\nx3 = torch.ones(6, 7).to(x0) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0# Shape (6, 7), dtype torch.float64\n</code></pre> <p>Even though PyTorch provides a large number of numeric datatypes, the most commonly used datatypes are:</p> <ul> <li><code>torch.float32</code>: Standard floating-point type; used to store learnable parameters, network activations, etc. Nearly all arithmetic is done using this type.</li> <li><code>torch.int64</code>: Typically used to store indices</li> <li><code>torch.bool</code>: Stores boolean values: 0 is false and 1 is true</li> <li><code>torch.float16</code>: Used for mixed-precision arithmetic, usually on NVIDIA GPUs with tensor cores. You won't need to worry about this datatype in this course.</li> <li>\u6ce8\u610f <code>a[:, 1]</code> \u548c <code>a[:, 1:2]</code> \u7684\u533a\u522b\uff0c\u540e\u8005\u4f1a\u4fdd\u7559\u7684\u591a\u4e00\u70b9</li> <li><code>clone()</code> \u4ee5\u540e\u7684\u53d8\u91cf\u8ddf\u539f\u53d8\u91cf\u662f\u72ec\u7acb\u7684\uff0c\u4f46\u662f\u7b49\u53f7\u76f4\u63a5\u8d4b\u503c\u7684\u662f\u540c\u4e00\u4e2a\u6307\u9488</li> </ul> Python<pre><code>mask = (a &gt; 3)\nprint('\\nMask tensor:')\nprint(mask)\n# Mask tensor: tensor([[False, False], [False, True], [ True, True]])\n</code></pre> <ul> <li>As its name implies, a tensor returned by <code>.view()</code> shares the same data as the input, so changes to one will affect the other.</li> </ul> Reshape\u548cview\u7684\u533a\u522b <ol> <li>\u5185\u5b58\u8fde\u7eed\u6027\uff1a<ul> <li><code>view</code> \u8981\u6c42\u539f\u59cb\u5f20\u91cf\u548c\u76ee\u6807\u5f20\u91cf\u5728\u5185\u5b58\u4e2d\u662f\u8fde\u7eed\u7684\u3002\u5982\u679c\u539f\u59cb\u5f20\u91cf\u4e0d\u662f\u8fde\u7eed\u7684\uff0c <code>view</code> \u4f1a\u9996\u5148\u8c03\u7528 <code>contiguous</code> \u65b9\u6cd5\u4f7f\u5176\u8fde\u7eed\uff0c\u7136\u540e\u6539\u53d8\u5f62\u72b6\u3002\u5982\u679c\u5f20\u91cf\u5df2\u7ecf\u662f\u8fde\u7eed\u7684\uff0c <code>view</code> \u64cd\u4f5c\u4e0d\u4f1a\u590d\u5236\u6570\u636e\u3002</li> <li><code>reshape</code>\u4e0d\u8981\u6c42\u539f\u59cb\u5f20\u91cf\u662f\u8fde\u7eed\u7684\u3002\u5982\u679c\u539f\u59cb\u5f20\u91cf\u4e0d\u662f\u8fde\u7eed\u7684\uff0c<code>reshape</code>\u4f1a\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u5f20\u91cf\u5e76\u590d\u5236\u6570\u636e\uff0c\u4ee5\u786e\u4fdd\u65b0\u5f20\u91cf\u662f\u8fde\u7eed\u7684\u3002</li> </ul> </li> <li>\u8fd4\u56de\u503c<ul> <li><code>view</code>\u8fd4\u56de\u4e00\u4e2a\u65b0\u7684\u5f20\u91cf\uff0c\u5b83\u4e0e\u539f\u59cb\u5f20\u91cf\u5171\u4eab\u76f8\u540c\u7684\u6570\u636e\uff0c\u4f46\u662f\u6709\u4e0d\u540c\u7684\u5f62\u72b6\u3002\u5982\u679c\u539f\u59cb\u5f20\u91cf\u4e0d\u662f\u8fde\u7eed\u7684\uff0c<code>view</code>\u4f1a\u8fd4\u56de\u4e00\u4e2a\u526f\u672c\u3002</li> <li><code>reshape</code>\u4e5f\u8fd4\u56de\u4e00\u4e2a\u65b0\u7684\u5f20\u91cf\uff0c\u4f46\u603b\u662f\u521b\u5efa\u6570\u636e\u7684\u526f\u672c\uff0c\u5373\u4f7f\u539f\u59cb\u5f20\u91cf\u662f\u8fde\u7eed\u7684\u3002</li> </ul> </li> <li>\u4f7f\u7528\u573a\u666f\uff1a<ul> <li>\u5f53\u4f60\u786e\u5b9a\u539f\u59cb\u5f20\u91cf\u662f\u8fde\u7eed\u7684\uff0c\u5e76\u4e14\u4f60\u60f3\u8981\u907f\u514d\u4e0d\u5fc5\u8981\u7684\u6570\u636e\u590d\u5236\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528<code>view</code>\u3002</li> <li>\u5f53\u4f60\u4e0d\u786e\u5b9a\u539f\u59cb\u5f20\u91cf\u662f\u5426\u8fde\u7eed\uff0c\u6216\u8005\u4f60\u60f3\u8981\u786e\u4fdd\u64cd\u4f5c\u4e0d\u4f1a\u56e0\u975e\u8fde\u7eed\u6027\u800c\u5931\u8d25\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528<code>reshape</code>\u3002</li> </ul> </li> <li>\u53c2\u6570\uff1a<ul> <li><code>view</code>\u7684\u53c2\u6570\u662f\u76ee\u6807\u5f62\u72b6\u7684\u7ef4\u5ea6\u3002</li> <li><code>reshape</code>\u7684\u53c2\u6570\u4e5f\u662f\u76ee\u6807\u5f62\u72b6\u7684\u7ef4\u5ea6\uff0c\u4f46\u5b83\u53ef\u4ee5\u63a5\u53d7\u4e00\u4e2a\u989d\u5916\u7684\u53c2\u6570<code>inplace</code>\uff0c\u5982\u679c\u8bbe\u7f6e\u4e3a<code>True</code>\uff0c\u5219\u4f1a\u5728\u539f\u5730\u4fee\u6539\u5f20\u91cf\u7684\u5f62\u72b6\u3002</li> </ul> </li> </ol> <ul> <li><code>torch.sin(x)</code> \u548c <code>x.sin()</code> \u662f\u7b49\u4ef7\u7684</li> </ul> Python<pre><code>x = torch.tensor([[1, 2, 3],\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [4, 5, 6]], dtype=torch.float32)\nprint('Original tensor:')\nprint(x)\n\nprint('\\nSum over entire tensor:')\nprint(torch.sum(x))\nprint(x.sum())\n\n# We can sum over each row:\nprint('\\nSum of each row:')\nprint(torch.sum(x, dim=0))\nprint(x.sum(dim=0))\n\n# Sum over each column:\nprint('\\nSum of each column:')\nprint(torch.sum(x, dim=1))\nprint(x.sum(dim=1))\n</code></pre> <ul> <li><code>torch.dot</code>: Computes inner product of vectors</li> <li><code>torch.mm</code>: Computes matrix-matrix products</li> <li><code>torch.mv</code>: Computes matrix-vector products</li> <li><code>torch.addmm</code> / <code>torch.addmv</code>: Computes matrix-matrix and matrix-vector multiplications plus a bias</li> <li><code>torch.bmm</code> / <code>torch.baddmm</code>: Batched versions of <code>torch.mm</code> and <code>torch.addmm</code>, respectively</li> <li><code>torch.matmul</code>: General matrix product that performs different operations depending on the rank of the inputs. Confusingly, this is similar to <code>np.dot</code> in numpy.</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/","title":"\u6df1\u5165\u7406\u89e3\u8ba1\u7b97\u673a\u7cfb\u7edf","text":"<p> \u7ea6 1012 \u4e2a\u5b57  36 \u884c\u4ee3\u7801  14 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#1","title":"1 \u8ba1\u7b97\u673a\u7cfb\u7edf\u6f2b\u6e38","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#2","title":"2 \u4fe1\u606f\u7684\u8868\u793a\u548c\u5904\u7406","text":"<ul> <li>\u628a\u4f4d\u7ec4\u5408\u518d\u4e00\u8d77\uff0c\u518d\u52a0\u4e0a interpretation</li> <li>\u4e09\u79cd\u91cd\u8981\u7684\u6570\u5b57\u8868\u793a<ul> <li>unsigned</li> <li>two's-complement</li> <li>floating-point</li> </ul> </li> <li>overflow</li> <li>\u6d6e\u70b9\u6570\u662f\u8fd1\u4f3c\u7684</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#21","title":"2.1 \u4fe1\u606f\u5b58\u50a8","text":"<ul> <li>1 byte = 8 bits</li> <li>virtual memory </li> <li>address<ul> <li>virtual address space</li> </ul> </li> <li>\u8bb2\u5b58\u50a8\u5668\u7a7a\u95f4\u5212\u5206\u4e3a\u66f4\u53ef\u7ba1\u7406\u7684\u5355\u5143\uff0c\u6765\u5b58\u653e\u4e0d\u540c\u7684 program object</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#211","title":"2.1.1 \u5341\u516d\u8fdb\u5236\u8868\u793a\u6cd5","text":"<ul> <li>0x...</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#212","title":"2.1.2 \u5b57\u6570\u636e\u5927\u5c0f","text":"<ul> <li>word size </li> <li>nominal size</li> <li>\u5b57\u957f\u51b3\u5b9a\u7684\u6700\u91cd\u8981\u7684\u7cfb\u7edf\u53c2\u6570\u5c31\u662f\u865a\u62df\u5730\u5740\u7a7a\u95f4\u7684\u6700\u5927\u5927\u5c0f<ul> <li>\u5b57\u957f\u4e3a \\(\\displaystyle \\omega\\) \u4e3a\u7684\u673a\u5668\uff0c\u865a\u62df\u5730\u5740\u7684\u8303\u56f4\u4e3a \\(\\displaystyle 0\\sim2^{\\omega} - 1\\)</li> <li>\u5927\u591a\u6570 64 \u4f4d\u673a\u5668\u53ef\u4ee5\u8fd0\u884c 32 \u4f4d\u673a\u5668\u7f16\u8bd1\u7684\u7a0b\u5e8f\uff0c\u5373\u5411\u540e\u517c\u5bb9 </li> </ul> </li> <li>\u4e3a\u4e86\u907f\u514d\u5927\u5c0f\u548c\u4e0d\u540c\u7f16\u8bd1\u5668\u8bbe\u7f6e\u5e26\u6765\u7684\u5947\u602a\u884c\u4e3a\uff0c\u6211\u4eec\u6709\u4e86 int 32_t \u548c int 64_t</li> <li>C \u8bed\u8a00\u5bf9\u58f0\u660e\u7684\u5173\u952e\u8bcd\u987a\u5e8f\u4e0d\u654f\u611f</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#213","title":"2.1.3 \u5bfb\u5740\u548c\u5b57\u8282\u987a\u5e8f","text":"<ul> <li>[[\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u786c\u4ef6\u8f6f\u4ef6\u63a5\u53e3#^da8be4|\u5c0f\u7aef\u7f16\u5740]]<ul> <li>\u5c31\u662f\u53f3\u8fb9\u653e\u5c0f\u7684\uff0c\u8981\u4ece\u53f3\u5f80\u5de6\u8bfb</li> </ul> </li> <li>\u5b57\u8282\u987a\u5e8f\u53d8\u5f97\u91cd\u8981\u7684\u4e09\u79cd\u60c5\u51b5<ul> <li>\u7f51\u7edc\u5e94\u7528\u7a0b\u5e8f\u7684\u4ee3\u7801\u7f16\u5199\u5fc5\u987b\u9075\u5b88\u5df2\u5efa\u7acb\u7684\u5173\u4e8e\u5b57\u8282\u987a\u5e8f\u7684\u89c4\u5219</li> <li>disassembler</li> <li>\u7f16\u5199\u89c4\u907f\u6b63\u5e38\u7684\u7c7b\u578b\u7cfb\u7edf\u7684\u7a0b\u5e8f<ul> <li>cast or union in C</li> <li>\u5bf9\u5e94\u7528\u7f16\u7a0b\u4e0d\u63a8\u8350\uff0c\u4f46\u662f\u5bf9\u7cfb\u7edf\u7ea7\u7f16\u7a0b\u662f\u5fc5\u9700\u7684</li> </ul> </li> </ul> </li> </ul> C<pre><code>#include &lt;stdio.h&gt;\n\n\n\ntypedef unsigned char *byte_pointer;\n\nvoid show_bytes(byte_pointer start, size_t len) {\n\u00a0 size_t i;\n\u00a0 for (i = 0; i &lt; len; i++)\n\u00a0 \u00a0 printf(\" %.2x\", start[i]);\n\u00a0 printf(\"\\n\");\n}\n\nvoid show_int(int x) { show_bytes((byte_pointer)&amp;x, sizeof(int)); }\n\nvoid show_float(float x) { show_bytes((byte_pointer)&amp;x, sizeof(float)); }\n\nvoid show_pointer(void *x) { show_bytes((byte_pointer)&amp;x, sizeof(void *)); }\n\nvoid test_show_bytes(int val) {\n\u00a0 int ival = val;\n\u00a0 float fval = (float)ival;\n\u00a0 int *pval = &amp;ival;\n\u00a0 show_int(ival);\n\u00a0 show_float(fval);\n\u00a0 show_pointer(pval);\n}\n\nint main() {\n\u00a0 int val = 12345;\n\u00a0 test_show_bytes(val);\n\u00a0 return 0;\n}\n</code></pre> Text Only<pre><code> 39 30 00 00 //\u5c0f\u7aef\u6cd5\n 00 e4 40 46\n 8c f6 bf ef b4 00 00 00\n</code></pre>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#214","title":"2.1.4 \u8868\u793a\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#215","title":"2.1.5 \u8868\u793a\u4ee3\u7801","text":"<ul> <li>\u4e8c\u8fdb\u5236\u4ee3\u7801\u5f88\u5c11\u80fd\u5728\u4e0d\u540c\u673a\u5668\u548c\u64cd\u4f5c\u7cfb\u7edf\u7ec4\u5408\u4e4b\u95f4\u79fb\u690d</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#216","title":"2.1.6 \u5e03\u5c14\u4ee3\u6570\u7b80\u4ecb","text":"<ul> <li>\u53ef\u4ee5\u6269\u5c55\u5230\u4f4d\u5411\u91cf\u7684\u8fd0\u7b97</li> <li>\u5e03\u5c14\u4ee3\u6570</li> <li>Boolean ring<ul> <li>additive inverse</li> </ul> </li> <li>\u548c\u96c6\u5408\u7684\u5bf9\u5e94</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#217-c","title":"2.1.7 C \u8bed\u8a00\u4e2d\u7684\u4f4d\u7ea7\u8fd0\u7b97","text":"<ul> <li>\u63a9\u7801\u8fd0\u7b97</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#218-c","title":"2.1.8 C \u8bed\u8a00\u4e2d\u7684\u903b\u8f91\u8fd0\u7b97","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#219-c","title":"2.1.9 C \u8bed\u8a00\u4e2d\u7684\u79fb\u4f4d\u8fd0\u7b97","text":"<ul> <li>\u903b\u8f91\u53f3\u79fb</li> <li>\u7b97\u6570\u53f3\u79fb</li> <li>\u5b9e\u9645\u4e0a\uff0c\u51e0\u4e4e\u6240\u6709\u7684\u7f16\u8bd1\u5668\u90fd\u5bf9\u6709\u7b26\u53f7\u6570\u4f7f\u7528\u7b97\u672f\u53f3\u79fb\uff0c\u800c\u5bf9\u4e8e\u65e0\u7b26\u53f7\u6570\uff0c\u53f3\u79fb\u5fc5\u987b\u662f\u903b\u8f91\u7684\uff08C \u8bed\u8a00\uff09</li> <li>\u800c\u5bf9\u4e8e Java <code>x&gt;&gt;k</code> \u662f\u7b97\u6570\u53f3\u79fb\uff0c <code>x&gt;&gt;&gt;k</code> \u662f\u903b\u8f91\u53f3\u79fb</li> <li>\u5bf9\u4e8e C \u8bed\u8a00\uff0c\u79fb\u52a8 \\(\\displaystyle k \\text{ mod } \\omega\\)</li> <li>\u52a0\u51cf\u7684\u4f18\u5148\u7ea7\u6bd4\u79fb\u4f4d\u7b97\u6cd5\u8981\u641e</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#22","title":"2.2 \u6574\u6570\u8868\u793a","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#221","title":"2.2.1 \u6574\u578b\u6570\u636e\u7c7b\u578b","text":"<ul> <li>64 \u4f4d\u548c 32 \u4f4d\u662f\u4e0d\u4e00\u6837\u7684 </li> <li>\u53d6\u503c\u8303\u56f4\u4e0d\u662f\u5bf9\u79f0\u7684 </li> <li>Java \u53ea\u652f\u6301\u6709\u7b26\u53f7\u6570</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#222","title":"2.2.2 \u65e0\u7b26\u53f7\u6570\u7684\u7f16\u7801","text":"<ul> <li>\u628a\u5411\u91cf\u5199\u6210\u4e8c\u8fdb\u5236\u8868\u793a\u7684\u6570\uff0c\u5c31\u5f97\u5230\u4e86\u65e0\u7b26\u53f7\u8868\u793a </li> </ul> \\[ B2U_w(\\vec{x})\\doteq\\sum_{i=0}^{u-1}x_i2^i \\] \\[ B2U_w:\\{0, 1\\}^w\\to\\{0, \\cdots,2^w-1\\} \\] <ul> <li>\u65e0\u7b26\u53f7\u6570\u7f16\u7801\u7684\u552f\u4e00\u6027</li> <li>\\(\\displaystyle \u51fd\u6570B2U_w\u662f\u4e00\u4e2a\u53cc\u5c04\u3002\\)</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#223","title":"2.2.3 \u8865\u7801\u7f16\u7801","text":"<ul> <li>two's-complement</li> <li>negative weight</li> </ul> \\[ B2T_w(\\vec{x})\\doteq- x_{w-1}2^{w-1}+\\sum_{i=0}^{w-2}x_i2^i \\] \\[ B2T_{w}\\colon \\{0, 1\\}^{w}\\to\\langle TMin_{w}, \\cdots, TMax_{w} \\rangle  \\] <ul> <li>\u8865\u7801\u7f16\u7801\u7684\u552f\u4e00\u6027</li> <li> <p>\\(\\displaystyle \u51fd\u6570B2T_w\u662f\u4e00\u4e2a\u53cc\u5c04\u3002\\) </p> </li> <li> <p>\u53cd\u7801</p> </li> </ul> \\[ B2O_w(\\vec{x})\\doteq-x_{w-1}(2^{w-1}-1)+\\sum_{i=0}^{w-2}x_i2^i \\] <ul> <li>\u539f\u7801</li> </ul> \\[ B2S_w(\\vec{x})\\doteq(-1)^{x_{w-1}}\\cdot\\bigl(\\sum_{i=0}^{w-2}x_i2^i\\bigr) \\] <ul> <li>\u5bf9\u4e8e\u6570\u5b57 0 \u6709\u4e24\u79cd\u4e0d\u540c\u7684\u7f16\u7801\u65b9\u5f0f</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#224","title":"2.2.4 \u6709\u7b26\u53f7\u6570\u548c\u65e0\u7b26\u53f7\u6570\u4e4b\u95f4\u7684\u8f6c\u6362","text":"<ul> <li>\u4fdd\u6301\u4f4d\u503c\u4e0d\u53d8\uff0c\u6539\u53d8\u89e3\u91ca\u65b9\u5f0f</li> </ul> \\[ T2U_{_w}(x)\\doteq B2U_{_w}( T2B_{_w}(x) ) \\] <ul> <li>\u8865\u7801\u8f6c\u6362\u4e3a\u65e0\u7b26\u53f7\u6570</li> </ul> \\[ T2U_w(x)=\\begin{cases}x+2^w,&amp;x&lt;0\\\\x,&amp;x\\geqslant0\\end{cases} \\] <ul> <li>\u65e0\u7b26\u53f7\u6570\u8f6c\u6362\u4e3a\u8865\u7801</li> </ul> \\[ U2T_w(u)=\\begin{cases}u ,&amp;u\\leqslant TMax_w\\\\u-2^w ,&amp;u&gt;TMax_w\\end{cases} \\]"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#225-c","title":"2.2.5 C \u8bed\u8a00\u4e2d\u7684\u6709\u7b26\u53f7\u6570\u4e0e\u65e0\u7b26\u53f7\u6570","text":"<ul> <li>\u4e00\u4e2a\u8fd0\u7b97\u7b26\u662f\u6709\u7b26\u53f7\u7684\u800c\u53e6\u4e00\u4e2a\u662f\u65e0\u7b26\u53f7\u7684\uff0c\u90a3 C \u7a0b\u5e8f\u4f1a\u628a\u6709\u7b26\u53f7\u7684\u8f6c\u6362\u4e3a\u65e0\u7b26\u53f7\u7684\u3002 </li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#226","title":"2.2.6 \u6269\u5c55\u4e00\u4e2a\u6570\u5b57\u7684\u4f4d\u8868\u793a","text":"<ul> <li>\u65e0\u7b26\u53f7\u6570\u7684 zero extension</li> <li>\u8865\u7801\u6570\u7684\u7b26\u53f7\u6269\u5c55</li> </ul>"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#227","title":"2.2.7 \u622a\u65ad\u6570\u5b57","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#228","title":"2.2.8 \u5173\u4e8e\u6709\u7b26\u53f7\u6570\u4e0e\u65e0\u7b26\u53f7\u6570\u7684\u5efa\u8bae","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#23","title":"2.3 \u6574\u6570\u8fd0\u7b97","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#231","title":"2.3.1 \u65e0\u7b26\u53f7\u52a0\u6cd5","text":"<ul> <li>Lisp \u652f\u6301\u65e0\u9650\u7cbe\u5ea6\u7684\u8fd0\u7b97</li> </ul> \\[ x+_w^uy=\\begin{cases}x+y,&amp;x+y&lt;2^w&amp;\\text{\u6b63\u5e38}\\\\x+y-2^w,&amp;2^w\\leqslant x+y&lt;2^{w+1}&amp;\\text{\u6ea2\u51fa}\\end{cases} \\]"},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#3","title":"3 \u7a0b\u5e8f\u7684\u673a\u5668\u7ea7\u8868\u793a","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#4","title":"4 \u5904\u7406\u5668\u4f53\u7cfb\u7ed3\u6784","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#5","title":"5 \u4f18\u5316\u7a0b\u5e8f\u6027\u80fd","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#6","title":"6 \u5b58\u50a8\u5668\u5c42\u6b21\u7ed3\u6784","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#7","title":"7 \u94fe\u63a5","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#8","title":"8 \u5f02\u5e38\u63a7\u5236\u6d41","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#9","title":"9 \u865a\u62df\u5185\u5b58","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#10-io","title":"10 \u7cfb\u7edf\u7ea7 I/O","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#11","title":"11 \u7f51\u7edc\u7f16\u7a0b","text":""},{"location":"CS%20basic/%E6%B7%B1%E5%85%A5%E7%90%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%B3%BB%E7%BB%9F/#12","title":"12 \u5e76\u53d1\u7f16\u7a0b","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/","title":"\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u786c\u4ef6\u8f6f\u4ef6\u63a5\u53e3","text":"<p> \u7ea6 2978 \u4e2a\u5b57  13 \u884c\u4ee3\u7801  4 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 10 \u5206\u949f</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#1","title":"1 \u8ba1\u7b97\u673a\u62bd\u8c61\u53ca\u76f8\u5173\u6280\u672f","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2","title":"2 \u6307\u4ee4: \u8ba1\u7b97\u673a\u7684\u8bed\u8a00","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#21","title":"2.1 \u5f15\u8a00","text":"<p>\u8bbe\u8ba1\u539f\u5219:</p> <ul> <li>\u7b80\u5355\u6e90\u4e8e\u89c4\u6574</li> <li>\u66f4\u5c11\u5219\u66f4\u5feb</li> <li>\u4f18\u79c0\u7684\u8bbe\u8ba1\u9700\u8981\u9002\u5f53\u7684\u6298\u4e2d</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#22","title":"2.2 \u8ba1\u7b97\u673a\u786c\u4ef6\u7684\u64cd\u4f5c","text":"<p>Java \u7f16\u8bd1\u5668: Just In Time \u7f16\u8bd1\u5668</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#23","title":"2.3 \u8ba1\u7b97\u673a\u786c\u4ef6\u7684\u64cd\u4f5c\u6570","text":"<ul> <li>\u5bc4\u5b58\u5668<ul> <li>\u5927\u5c0f\u4e3a64 bits \u53cc\u5b57</li> <li>\u6570\u91cf\u6709\u9650\u901a\u5e38\u4e3a 32 \u4e2a</li> <li>x +\u5bc4\u5b58\u5668\u7f16\u53f7</li> </ul> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#231","title":"2.3.1 \u5b58\u50a8\u5668\u64cd\u4f5c\u6570","text":"<p>\u5728\u5185\u5b58\u548c\u5bc4\u5b58\u5668\u4e4b\u95f4\u4f20\u8f93\u6307\u4ee4:\u6570\u636e\u4f20\u8f93\u6307\u4ee4 \u6307\u4ee4\u63d0\u4f9b\u5185\u5b58\u5730\u5740 \u8f7d\u5165\u6307\u4ee4\uff08load\uff09:ld</p> Text Only<pre><code>Ld x9, 8(x22)\n</code></pre> <p>X 22 \u57fa\u5740\u5bc4\u5b58\u5668 8 \u504f\u79fb\u91cf \u5b57\u8282\u5730\u5740: 0 8 16 24 RICS- V \u662f\u5c0f\u7aef\u7f16\u5740: \u53ea\u5728\u4ee5\u53cc\u5b57\u5f62\u5f0f\u548c\u516b\u4e2a\u5355\u72ec\u5b57\u8282\u8bbf\u95ee\u76f8\u540c\u6570\u636e\u65f6\u4f1a\u6709\u5f71\u54cd ^da8be4</p> <p>\u5b58\u50a8\u6307\u4ee4\uff08store\uff09\u5b58\u50a8\u53cc\u5b57</p> Text Only<pre><code>sd x9, 96(x22)\n</code></pre> <ul> <li>\u5bf9\u9f50\u9650\u5236:<ul> <li>\u5b57\u7684\u8d77\u59cb\u5730\u5740\u662f 4 \u7684\u500d\u6570</li> <li>\u53cc\u5b57\u7684\u8d77\u59cb\u5730\u5740\u662f 8 \u7684\u500d\u6570</li> <li>\u4f46\u662f risc-v and Intel x 86 \u6ca1\u6709</li> <li>MIPS \u6709 Gibibyte (\\(\\displaystyle 2^{30}\\)) and tebibyte (\\(\\displaystyle 2^{40}\\)) \u5982\u679c\u53d8\u91cf\u6bd4\u5bc4\u5b58\u5668\u6570\u91cf\u66f4\u591a\uff0c\u90a3\u4e48\u4f1a\u628a\u4e00\u4e9b\u653e\u5230\u5185\u5b58\uff0c\u5373\u5bc4\u5b58\u5668\u6362\u51fa\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#232","title":"2.3.2 \u5e38\u6570\u6216\u7acb\u5373\u6570\u64cd\u4f5c\u6570","text":"Text Only<pre><code>ld x9, AddConstant4(x3)\nAdd x22, x22, x9\n\n# Equals to \n\naddi x22, x22, 4 # x22 = x22 + 4\n</code></pre> <p>\u5e38\u6570\u79f0\u4e3a\u7b97\u6570\u6307\u4ee4\u64cd\u4f5c\u6570 X0 \u53ef\u4ee5\u7528\u6765\u8868\u793a 0 \u5176\u5b9e\u8fd8\u6709 RV 32 \u57fa\u5740\u5bc4\u5b58\u5668\u4e5f\u88ab\u79f0\u4e3a\u4e0b\u6807\u5bc4\u5b58\u5668 \u6211\u4eec\u5047\u8bbe\u6307\u4ee4\u90fd\u662f 64 \u4f4d</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#24","title":"2.4 \u6709\u7b26\u53f7\u6570\u4e0e\u65e0\u7b26\u53f7\u6570","text":"<ul> <li>Binary digit Or bit</li> <li>Least significant bit </li> <li>Most significant bit</li> <li>sign and magnitude</li> <li>\u8865\u7801\u8f6c\u5316:<ol> <li>\u62d3\u5c55\u7b26\u53f7\u4f4d</li> <li>\u53d6\u53cd</li> <li>\u52a0\u4e00</li> </ol> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#25","title":"2.5 \u8ba1\u7b97\u673a\u4e2d\u7684\u6307\u4ee4\u8868\u793a","text":"<ul> <li>\u5b57\u6bb5</li> <li>\u6307\u4ee4 32 \u4f4d\u957f</li> <li>\u6307\u4ee4\u7684\u6570\u5b57\u8868\u793a:\u673a\u5668\u8bed\u8a00</li> <li>\u6307\u4ee4\u5e8f\u5217: \u673a\u5668\u7801</li> <li>C \u548c java \u7528 0 xnnnn \u6765\u8868\u793a\u5341\u516d\u8fdb\u5236\u6570</li> <li>RISC-V:\uff08R\uff09<ul> <li>funct7 + rs 2 + rs 1 + funct 3 + rd + opcode</li> <li>rd: \u76ee\u7684\u64cd\u4f5c\u6570\u5bc4\u5b58\u5668</li> <li>rs 1: \u7b2c\u4e00\u4e2a\u539f\u64cd\u4f5c\u6570\u5bc4\u5b58\u5668</li> <li>rs 2: \u7b2c\u4e8c\u4e2a\u539f\u64cd\u4f5c\u6570\u5bc4\u5b58\u5668</li> <li>funct 7 (3): \u64cd\u4f5c\u7801\u5b57\u6bb5</li> </ul> </li> <li>\u5bf9\u4e0d\u540c\u7684\u6307\u4ee4\u4f7f\u7528\u4e0d\u540c\u7684\u6307\u4ee4\u683c\u5f0f</li> <li>I<ul> <li>immediate + rs 1 + funct 3 + rd + opcode</li> <li>\u8d85\u8fc7 32 \u4e2a\u5bc4\u5b58\u5668\u7684\u8bdd\uff0crd and rs 1 \u90fd\u8981\u589e\u52a0\u989d\u5916\u7684\u4e00\u4f4d</li> <li>ld</li> </ul> </li> <li>S<ul> <li>immediate + rs 2 + rs 1 + funct 3 + immediate + opcode</li> </ul> </li> <li>Reg \u8868\u793a 0 \u5230 31 \u4e4b\u95f4\u7684\u5bc4\u5b58\u5668\u7f16\u53f7</li> <li>\u6ca1\u6709 subi \u56e0\u4e3a\u53ef\u4ee5\u901a\u8fc7\u52a0\u8d1f\u6570\u6765\u5b9e\u73b0</li> <li>\u8ba1\u7b97\u673a\u6784\u5efa\u57fa\u4e8e\u4e24\u4e2a\u5173\u952e\u539f\u5219:<ul> <li>\u6307\u4ee4\u7531\u6570\u5b57\u5f62\u5f0f\u8868\u793a</li> <li>\u7a0b\u5e8f\u548c\u6570\u636e\u4e00\u6837\u4fdd\u5b58\u5728\u5b58\u50a8\u5668\u4e2d\u8fdb\u884c\u8bfb\u5199</li> </ul> </li> <li>\u7a0b\u5e8f\u4f1a\u4ee5\u4e8c\u8fdb\u5236\u6570\u636e\u6587\u4ef6\u7684\u5f62\u5f0f\u6765\u53d1\u5e03<ul> <li>\u4e8c\u8fdb\u5236\u517c\u5bb9\u6027\u8ba9\u884c\u4e1a\u56f4\u7ed5\u5c11\u6570\u51e0\u4e2a\u6307\u4ee4\u7cfb\u7edf\u7ed3\u6784\u5f62\u6210\u8054\u76df</li> </ul> </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#26","title":"2.6 \u903b\u8f91\u64cd\u4f5c","text":"<ul> <li>sll, slli</li> <li>srl, srli</li> <li>sra, srai</li> <li>and, andi </li> <li>or, ori </li> <li>xor, xori</li> <li>not</li> <li>\u4f4d\u79fb\u6307\u4ee4\u7528\u7684 I \u578b\u683c\u5f0f:<ul> <li>\u4f46\u5b83\u7684\u683c\u5f0f\u6709\u53d8\u5316:<ul> <li>funct 6 + immediate + rs 1 + funct 3 + rd + opcode</li> </ul> </li> </ul> </li> <li>\u7b97\u6570\u53f3\u79fb\u7528\u7684\u662f\u7b26\u53f7\u4f4d</li> <li>AND \u5b9e\u73b0\u4e86\u63a9\u7801</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#27","title":"2.7 \u7528\u4e8e\u51b3\u7b56\u7684\u6307\u4ee4","text":"<ul> <li>beq</li> <li>bne</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#271","title":"2.7.1 \u5faa\u73af","text":"C<pre><code>while (save[i] == k) \n    i += 1;\n</code></pre> <p>I -&gt; x 22 K -&gt; x 24 Save -&gt; x 25</p> Text Only<pre><code>loop: slli, x10, x22, 3\nAdd x10, x10, x25\nLd x9, 0(x10)\nBen x9, x24, Exit\nAddi x22, x22, l\nBeq x0, x0, loop\nExit:\n</code></pre> <p>\u57fa\u672c\u5757: </p> <ul> <li>\u9664\u4e86\u5728\u6307\u4ee4\u5e8f\u5217\u7684\u7ed3\u5c3e\uff0c\u5e8f\u5217\u4e2d\u6ca1\u6709\u5206\u652f\u3002</li> <li>\u9664\u4e86\u5728\u5e8f\u5217\u8d77\u59cb\u5904\uff0c\u5e8f\u5217\u4e2d\u6ca1\u6709\u5206\u652f\u76ee\u6807\u548c\u5206\u652f\u6807\u7b7e\u3002</li> <li>\u5bf9\u4e8e\u7b26\u53f7:<ul> <li>RISC-V \u7528\u4e0d\u540c\u7684\u6307\u4ee4</li> <li>MIPS \u8bbe\u7f6e\u4e34\u65f6\u5bc4\u5b58\u5668</li> <li>ARM \u6761\u4ef6\u4ee3\u7801\u6216\u6807\u5fd7\u4f4d</li> </ul> </li> <li>\u4e0d\u8fc7\u4e5f\u4f1a\u6709\u7f3a\u70b9: \u8fc7\u591a\u7684\u6307\u4ee4\u8bbe\u7f6e\u6761\u4ef6\u4ee3\u7801\uff0c\u4f1a\u8ba9\u6d41\u6c34\u7ebf\u6267\u884c\u56f0\u96be</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#272","title":"2.7.2 \u8fb9\u754c\u68c0\u67e5\u7684\u7b80\u4fbf\u65b9\u6cd5","text":"<p>\u5c06\u7b26\u53f7\u6570\u5f53\u4f5c\u65e0\u7b26\u53f7\u6570\u5904\u7406</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#273-caseswitch","title":"2.7.3 Case/switch \u8bed\u53e5","text":"<ul> <li>\u7f16\u7801\u5f62\u6210\u6307\u4ee4\u5e8f\u5217\u7684\u5730\u5740\u8868: \u5206\u652f\u5730\u5740\u8868/\u5206\u652f\u8868</li> <li>\u95f4\u63a5\u8df3\u8f6c\u6307\u4ee4 jalr</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#28","title":"2.8 \u8ba1\u7b97\u673a\u786c\u4ef6\u5bf9\u8fc7\u7a0b\u7684\u652f\u6301","text":"<ul> <li>Procedure</li> <li>\u6267\u884c\u8fc7\u7a0b\u7684\u516d\u4e2a\u6b65\u9aa4:<ul> <li>\u5c06\u53c2\u6570\u653e\u5728\u8fc7\u7a0b\u53ef\u4ee5\u8bbf\u95ee\u5230\u7684\u4f4d\u7f6e</li> <li>\u5c06\u63a7\u5236\u8f6c\u4ea4\u7ed9\u8fc7\u7a0b</li> <li>\u83b7\u53d6\u8fc7\u7a0b\u6240\u9700\u7684\u5b58\u50a8\u8d44\u6e90</li> <li>\u6267\u884c\u6240\u9700\u7684\u4efb\u52a1</li> <li>\u5c06\u7ed3\u679c\u503c\u653e\u5728\u8c03\u7528\u7a0b\u5e8f\u53ef\u4ee5\u8bbf\u95ee\u5230\u7684\u4f4d\u7f6e</li> <li>\u5c06\u63a7\u5236\u8fd4\u56de\u5230\u521d\u59cb\u70b9\uff0c\u56e0\u4e3a\u8fc7\u7a0b\u53ef\u4ee5\u4ece\u7a0b\u5e8f\u4e2d\u7684\u591a\u4e2a\u70b9\u8c03\u7528</li> </ul> </li> <li>x 10~x 17: \u53c2\u6570\u5bc4\u5b58\u5668\uff0c\u7528\u4e8e\u4f20\u9012\u53c2\u6570\u6216\u8fd4\u56de\u503c</li> <li>x 1: \u8fd4\u56de\u5730\u5740\u5bc4\u5b58\u5668\uff0c\u7528\u4e8e\u8fd4\u56de\u5230\u8d77\u59cb\u70b9</li> <li>jal \u8df3\u8f6c-\u94fe\u63a5\u6307\u4ee4 </li> </ul> Text Only<pre><code>Jal x1, ProcedureAddress\nJalr x0, 0(x1)\n</code></pre> <p>\u8c03\u7528\u8005\u5c06\u53c2\u6570\u503c\u653e\u5165 x 10~x 17 \u8fc7\u7a0b\u662f\u88ab\u8c03\u7528\u8005 Program counter:PC \u6307\u4ee4\u5730\u5740\u5bc4\u5b58\u5668</p> Text Only<pre><code>jal x0, Label // unconditionally branch to Label\n</code></pre>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#281","title":"2.8.1 \u4f7f\u7528\u66f4\u591a\u7684\u5bc4\u5b58\u5668","text":"<ul> <li>Stack</li> <li>Stack pointer x2:sp</li> <li>\u538b\u6808\u5f39\u6808</li> </ul> Text Only<pre><code>leaf_example:\nAddi sp, sp, -14\nSd x5, 16(sp)\nSd x6, 8(sp)\nSd x20, 0(sp)\nAdd x5, x10, x11\nAdd x6, x12, x13\nSub x20, x5, x6\nAddi x10, x20, 0\nLd x20, 0(sp)\nLd x6, 8(sp)\nLd x5, 16(sp)\nAddi sp, sp, 24\nJalr x0, 0(x1)\n</code></pre> <ul> <li>X 5~x 7, x 28~x 31: \u4e34\u65f6\u5bc4\u5b58\u5668</li> <li>x 8~x 9, x 18~x 27: \u4fdd\u5b58\u5bc4\u5b58\u5668</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#282","title":"2.8.2 \u5d4c\u5957\u8fc7\u7a0b","text":"<ul> <li>Leaf procedure </li> <li>\u5c06\u6240\u6709\u5fc5\u987b\u4fdd\u5b58\u7684\u5bc4\u5b58\u5668\u538b\u6808\uff0c\u9632\u6b62\u51b2\u7a81</li> </ul> C<pre><code>long long int fact (long long int n) {\n    if (n &lt; 1) return (1);\n        else return (n * fact(n - 1))\n}\n</code></pre> <p>n -&gt; x 10</p> Text Only<pre><code>fact:\n    addi sp, sp, -16\n    Sd x1, 8(sp)\n    Sd x10, 0(sp)\n\n    Addi x5, x10, -1\n    Bge x5, x0, L1\n\n    Addi x10, x0, 1\n    Addi sp, sp, 16\n    Jalr x0, 0(x1)\n\nL1: addi x10, x10, -1\n    Jal x1, fact\n\naddi x6, x10, 0\nLd x10, 0(sp)\nLd x1, 8(sp)\nAddi sp, sp, 16\nMul x10, x10, x6\nJalr x0, 0(x1)\n</code></pre> <ul> <li>\u4e00\u4e9b\u7f16\u8bd1\u5668\u4fdd\u7559\u4e00\u4e2a\u5bc4\u5b58\u5668 x 3 \u7528\u4f5c\u5168\u5c40\u6307\u9488 gp </li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#283","title":"2.8.3 \u5728\u6808\u4e2d\u4f4d\u65b0\u6570\u636e\u5206\u914d\u7a7a\u95f4","text":"<p>\u6808\u4e5f\u7528\u4e8e\u5b58\u50a8\u8fc7\u7a0b\u7684\u5c40\u90e8\u53d8\u91cf \u8fc7\u7a0b\u5e27/\u6d3b\u52a8\u8bb0\u5f55</p> <p>\u6ca1\u770b\u61c2</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#284","title":"2.8.4 \u5728\u5806\u4e2d\u4e3a\u65b0\u6570\u636e\u5206\u914d\u7a7a\u95f4","text":"<p>Static data segment text segment \u50cf\u94fe\u8868\u7b49\u6570\u636e\u7ed3\u6784\u5f80\u5f80\u4f1a\u968f\u751f\u547d\u5468\u671f\u589e\u957f\u548c\u7f29\u77ed\uff0c\u6240\u4ee5\u4f1a\u628a\u4ed6\u4eec\u5b58\u5728\u5806\u91cc (heap)</p> <ul> <li>malloc ()</li> <li>free () \u8be6\u7ec6\u9610\u8ff0\u6ca1\u770b</li> </ul>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#29","title":"2.9 \u4eba\u673a\u4ea4\u4e92","text":"<p>ASCII: american standard code for information interchange </p> <p>\u52a0\u8f7d\u65e0\u7b26\u53f7\u5b57\u8282 (lbu) \u5b58\u50a8\u5b57\u8282 (sb)</p> Text Only<pre><code>lbu x12, 0(x10)\nsb x12, 0(x11)\n</code></pre> <p>\u5b57\u7b26\u4e32\u7684\u8868\u793a\u6709\u4e09\u79cd\u9009\u62e9:</p> <ol> <li>\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u4fdd\u7559\u6765\u7ed9\u51fa\u5b57\u7b26\u4e32\u7684\u957f\u5ea6</li> <li>\u7528\u989d\u5916\u7684\u53d8\u91cf\u6765\u5b58\u50a8\u957f\u5ea6\uff08\u5982\u7ed3\u6784\u4f53\uff09</li> <li>\u5b57\u7b26\u4e32\u7684\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e\u7528\u5b57\u7b26\u6807\u8bb0\u7ed3\u5c3e \u5176\u4e2d C \u8bed\u8a00\u7528\u7b2c\u4e09\u79cd\uff0c\u4f7f\u7528\u503c\u4e3a 0 \u7684\u5b57\u8282\u6765\u7ec8\u6b62\u5b57\u7b26\u4e32\uff08null in ASCII\uff09</li> </ol> C<pre><code>void strcpy (char x[], char y[])\n{\n    size_t i;\n    i = 0;\n    while ((x[i] = y[i]) != '\\0')\n        i += 1;\n}\n</code></pre> <p>x -&gt; x 10 y -&gt; x 11 i -&gt; x 19</p> Text Only<pre><code>strcpy:\n    addi sp, sp, -8\n    sd x19, 0(sp)\n    add x19, x0, x0\nL1: add x5, x19, x11\n    lbu x6, 0(x5)\n    add x7, x19, x10\n    sb x6, 0(x7)\n    beq x6, x0, L2\n    addi x19, x19, 1\n    jal x0, L1\nL2: ld x19, 0(sp)\n    addi sp, sp, 8\n    jalr x0, 0(x1)\n</code></pre> <p>load half unsigned \u52a0\u8f7d\u534a\u5b57: lh lhu sh </p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#210-risc-v","title":"2.10 \u5bf9\u5927\u7acb\u5373\u6570\u7684 RISC-V \u7684\u7f16\u5740\u548c\u5bfb\u5740","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2101","title":"2.10.1 \u5927\u7acb\u5373\u6570","text":"<p>load upper immediate \u53d6\u7acb\u5373\u6570\u9ad8\u4f4d lui  lui \u53ef\u4ee5\u52a0\u8f7d 12~31 \u4f4d addi \u53ef\u4ee5\u52a0\u8f7d 0~11 \u4f4d</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2102","title":"2.10.2 \u5206\u652f\u4e2d\u7684\u5bfb\u5740","text":"<p>\u5206\u652f\u6307\u4ee4\u4f7f\u7528 SB \u578b\u7684\u6307\u4ee4\u683c\u5f0f </p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#211","title":"2.11 \u6307\u4ee4\u4e0e\u5e76\u884c\u6027\uff1a\u540c\u6b65","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#212","title":"2.12 \u7ffb\u8bd1\u5e76\u542f\u52a8\u7a0b\u5e8f","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2121","title":"2.12.1 \u7f16\u8bd1\u5668","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2122","title":"2.12.2 \u6c47\u7f16\u5668","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2123","title":"2.12.3 \u94fe\u63a5\u5668","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2124","title":"2.12.4 \u52a0\u8f7d\u5668","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2125","title":"2.12.5 \u52a8\u6001\u94fe\u63a5\u5e93","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#21251-java","title":"2.12.5.1 \u542f\u52a8 Java \u7a0b\u5e8f","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#213-c","title":"2.13 \u4ee5 C \u6392\u5e8f\u7a0b\u5e8f\u4e3a\u4f8b\u7684\u6c47\u603b\u6574\u7406","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2131-swap","title":"2.13.1 swap \u8fc7\u7a0b","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2132-sort","title":"2.13.2 sort \u8fc7\u7a0b","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#214","title":"2.14 \u6570\u7ec4\u4e0e\u6307\u9488","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2141-clear","title":"2.14.1 \u7528\u6570\u7ec4\u5b9e\u73b0 clear","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2142-clear","title":"2.14.2 \u7528\u6307\u9488\u5b9e\u73b0 clear","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2143-clear","title":"2.14.3 \u6bd4\u8f83\u4e24\u4e2a\u7248\u672c\u7684 clear","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#215-c-java","title":"2.15 \u9ad8\u7ea7\u4e13\u9898: \u7f16\u8bd1 C \u8bed\u8a00\u548c\u89e3\u91ca Java \u7a0b\u5e8f","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#216-mips","title":"2.16 \u5b9e\u4f8b: MIPS \u6307\u4ee4","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#217-x-86","title":"2.17 \u5b9e\u4f8b: x 86 \u6307\u4ee4","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2171-intel-x-86","title":"2.17.1 Intel x 86 \u7684\u6f14\u53d8","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2172-x-86","title":"2.17.2 x 86 \u5bc4\u5b58\u5668\u548c\u5bfb\u5740\u6a21\u5f0f","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#2173-x-86","title":"2.17.3 x 86 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\u7cfb\u7edf\u5176\u4ed6\u90e8\u5206\u548c\u7279\u6b8a\u6307\u4ee4","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#515-cache","title":"5.15 \u52a0\u901f: cache \u5206\u5757\u548c\u77e9\u9635\u4e58\u6cd5","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#516","title":"5.16 \u8c2c\u8bef\u4e0e\u9677\u9631","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#517","title":"5.17 \u672c\u8eab\u5c0f\u7ed3","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#518","title":"5.18 \u5386\u53f2\u89c6\u89d2\u548c\u62d3\u5c55\u9605\u8bfb","text":""},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E4%B8%8E%E8%AE%BE%E8%AE%A1%E7%A1%AC%E4%BB%B6%E8%BD%AF%E4%BB%B6%E6%8E%A5%E5%8F%A3/#6","title":"6 \u5e76\u884c\u5904\u7406\u5668: \u4ece\u5ba2\u6237\u7aef\u5230\u4e91","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/","title":"Accelerated C++","text":"<p> \u7ea6 2520 \u4e2a\u5b57  489 \u884c\u4ee3\u7801  2 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 15 \u5206\u949f</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#0-c","title":"0 \u5f00\u59cb\u5b66\u4e60 C++","text":"C++<pre><code>#include &lt;iostream&gt;\n\nint main()\n{\n    std::cout &lt;&lt; \"Hello, World!\" &lt;&lt; std::endl;\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#01","title":"0.1 \u6ce8\u91ca","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#02-displaystyle-include","title":"0.2 \\(\\displaystyle \\#\\)include \u6307\u4ee4","text":"<ul> <li>\u8f93\u5165\u3001\u8f93\u51fa\u4e0d\u5c5e\u4e8e\u8bed\u8a00\u6838\u5fc3\uff0c\u800c\u662f\u6807\u51c6\u5e93\u7684\u4e00\u90e8\u5206</li> <li>iostream \u4ee3\u8868 C++\u5e93\u7684\u6807\u51c6\u5934\u6587\u4ef6</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#03-main","title":"0.3 \u4e3b\u51fd\u6570 main","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#04","title":"0.4 \u82b1\u62ec\u53f7","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#05","title":"0.5 \u4f7f\u7528\u6807\u51c6\u5e93\u8fdb\u884c\u8f93\u51fa","text":"<ul> <li>std:: cout \u6307\u6807\u51c6\u8f93\u51fa\u6d41</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#06","title":"0.6 \u8fd4\u56de\u8bed\u53e5","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#07","title":"0.7 \u4e00\u4e9b\u8f83\u4e3a\u6df1\u5165\u7684\u89c2\u5bdf","text":"<ul> <li>\u8868\u8fbe\u5f0f<ul> <li>\u8fd0\u7b97\u4f1a\u4ea7\u751f\u4e00\u4e2a\u7ed3\u679c\uff0c\u53ef\u80fd\u4f1a\u5177\u6709\u526f\u4f5c\u7528</li> </ul> </li> <li>\u6bcf\u4e2a\u64cd\u4f5c\u6570\u90fd\u5177\u6709\u4e00\u4e2a\u7c7b\u578b</li> <li>&lt;&lt;\u662f\u5de6\u7ed3\u5408\u7684\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e24\u4e2a&lt;&lt;\u8fd0\u7b97\u7b26\u548c\u4e09\u4e2a\u64cd\u4f5c\u6570</li> </ul> C++<pre><code>(std::cout &lt;&lt; \"Hello, World!\") &lt;&lt; std::endl\n</code></pre> <ul> <li>std:: cout \u7684\u7c7b\u578b\u662f std::ostream</li> <li>std:: endl \u662f\u4e00\u4e2a\u63a7\u5236\u5668\uff08manipulator\uff09</li> <li>\u7b2c\u4e00\u79cd\u4f5c\u7528\u57df: \u540d\u5b57\u7a7a\u95f4</li> <li>:: \u662f\u4f5c\u7528\u57df\u8fd0\u7b97\u7b26\uff0cstd:: cout \u662f\u4e00\u4e2a\u9650\u5b9a\u540d\u79f0</li> <li>\u82b1\u62ec\u53f7\u662f\u53e6\u4e00\u79cd\u4f5c\u7528\u57df</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#08","title":"0.8 \u5c0f\u7ed3","text":"<ul> <li>main \u53ef\u4ee5\u6ca1\u6709 return \u8bed\u53e5</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#1","title":"1 \u4f7f\u7528\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#11","title":"1.1 \u8f93\u5165","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;string&gt;\n\nint main() \n{\n    std::cout &lt;&lt; \"Please enter your first name:\";\n\n    std::string name;\n    std::cin &gt;&gt; name;\n\n    std::cout &lt;&lt; \"Hello\" &lt;&lt; name &lt;&lt; \"!\" &lt;&lt; std::endl;\n    return 0;\n}\n</code></pre> <ul> <li>\u53d8\u91cf\u662f\u4e00\u4e2a\u5bf9\u8c61\uff0c\u4f46\u6709\u4e9b\u5bf9\u8c61\u53ef\u80fd\u6ca1\u6709\u540d\u79f0</li> <li>\u5c40\u90e8\u53d8\u91cf\u6709\u9650\u7684\u751f\u5b58\u671f\u662f\u533a\u5206\u53d8\u91cf\u548c\u5bf9\u8c61\u7684\u4e00\u4e2a\u91cd\u8981\u4f9d\u636e</li> <li>\u9690\u85cf\u5728\u5bf9\u8c61\u7c7b\u578b\u4e2d\u7684\u8fd8\u6709\u5176\u63a5\u53e3<ul> <li>\u63a5\u53e3\u662f\u53ef\u5b9e\u73b0\u64cd\u4f5c\u7684\u96c6\u5408</li> </ul> </li> <li>\u7f13\u51b2\u533a\u6765\u4fdd\u5b58\u8f93\u51fa</li> <li>\u4f55\u65f6\u5237\u65b0\u7f13\u51b2\u533a:<ul> <li>\u7f13\u51b2\u533a\u6ee1\u4e86</li> <li>\u8f93\u5165\u6d41\u8bfb\u6570\u636e</li> <li>\u660e\u786e\u8981\u6c42\u5237\u65b0</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#12","title":"1.2 \u4e3a\u59d3\u540d\u88c5\u6846","text":"<ul> <li>\u8fd0\u7b97\u7b26\u88ab\u91cd\u8f7d\u4e86</li> <li>\u8fd0\u7b97\u7b26\u4e00\u4e2a\u6c38\u8fdc\u4e0d\u4f1a\u6539\u53d8\u7684\u6027\u8d28\u662f\u7ed3\u5408\u5f8b\uff0c+\u662f\u5de6\u7ed3\u5408\u7684</li> </ul> C++<pre><code>std::string stars(10, '*')\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#13","title":"1.3 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#2","title":"2 \u5faa\u73af\u548c\u8ba1\u6570","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#21","title":"2.1 \u95ee\u9898","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#22","title":"2.2 \u7a0b\u5e8f\u7684\u6574\u4f53\u7ed3\u6784","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#23","title":"2.3 \u8f93\u51fa\u6570\u76ee\u672a\u77e5\u7684\u884c","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#231-while","title":"2.3.1 while \u8bed\u53e5","text":"<ul> <li>++\u662f\u4e00\u4e2a\u589e\u91cf\u8fd0\u7b97\u7b26</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#232-while","title":"2.3.2 \u8bbe\u8ba1 while \u8bed\u53e5","text":"<ul> <li>\u5faa\u73af\u4e0d\u53d8\u5f0f\uff08Loop invariant\uff09<ul> <li>\u521d\u59cb\u5316\uff1a\u5728\u5faa\u73af\u5f00\u59cb\u4e4b\u524d\uff0c\u5faa\u73af\u4e0d\u53d8\u5f0f\u5e94\u8be5\u88ab\u786e\u7acb\u4e3a\u771f\u3002</li> <li>\u4fdd\u6301\uff1a\u5faa\u73af\u7684\u6bcf\u6b21\u8fed\u4ee3\u90fd\u5fc5\u987b\u4fdd\u6301\u5faa\u73af\u4e0d\u53d8\u5f0f\u4e3a\u771f\uff0c\u5373\u5982\u679c\u8fdb\u5165\u67d0\u6b21\u8fed\u4ee3\u65f6\u5faa\u73af\u4e0d\u53d8\u5f0f\u4e3a\u771f\uff0c\u90a3\u4e48\u5728\u8be5\u6b21\u8fed\u4ee3\u7ed3\u675f\u65f6\uff0c\u5faa\u73af\u4e0d\u53d8\u5f0f\u4ecd\u7136\u4e3a\u771f\u3002</li> <li>\u7ec8\u6b62\uff1a\u5f53\u5faa\u73af\u7ed3\u675f\u65f6\uff0c\u5faa\u73af\u4e0d\u53d8\u5f0f\u5e94\u8be5\u80fd\u591f\u7528\u6765\u8bc1\u660e\u5faa\u73af\u7684\u7ec8\u6b62\u6761\u4ef6\u6210\u7acb\uff0c\u6216\u8005\u7528\u6765\u8bc1\u660e\u5faa\u73af\u7684\u8f93\u51fa\u6216\u7ed3\u679c\u6ee1\u8db3\u7279\u5b9a\u7684\u5c5e\u6027\u3002</li> <li>\u5faa\u73af\u4e0d\u53d8\u5f0f\u7684\u4e00\u4e2a\u5178\u578b\u4f8b\u5b50\u662f\u5728\u6392\u5e8f\u7b97\u6cd5\u4e2d\uff0c\u4f8b\u5982\u5192\u6ce1\u6392\u5e8f\u3002\u5728\u5192\u6ce1\u6392\u5e8f\u4e2d\uff0c\u4e00\u4e2a\u53ef\u80fd\u7684\u5faa\u73af\u4e0d\u53d8\u5f0f\u662f\uff1a\u201c\u6bcf\u6b21\u5faa\u73af\u8fed\u4ee3\u540e\uff0c\u6570\u7ec4\u7684\u6700\u540en\u4e2a\u5143\u7d20\u662f\u6392\u5e8f\u597d\u7684\u201d\uff0c\u5176\u4e2dn\u662f\u5faa\u73af\u8fed\u4ee3\u7684\u6b21\u6570\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#24","title":"2.4 \u8f93\u51fa\u4e00\u884c","text":"C++<pre><code>const std::string::size_type cols = greeting.size() + pad * 2 + 2;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#241","title":"2.4.1 \u8f93\u51fa\u8fb9\u754c\u5b57\u7b26","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#2411-if","title":"2.4.1.1 if \u8bed\u53e5","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#2412","title":"2.4.1.2 \u903b\u8f91\u8fd0\u7b97\u7b26","text":"<ul> <li>||\u662f\u5de6\u7ed3\u5408\uff0c\u4f1a\u6709\u77ed\u8def\u6c42\u503c\uff08short-circuit evaluation\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#242","title":"2.4.2 \u8f93\u51fa\u975e\u8fb9\u754c\u5b57\u7b26","text":"<ul> <li>+=\u590d\u5408\u8d4b\u503c\u8fd0\u7b97\u7b26</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#25","title":"2.5 \u5b8c\u6574\u7684\u6846\u67b6\u7a0b\u5e8f","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#251-std","title":"2.5.1 \u7565\u53bb\u91cd\u590d\u4f7f\u7528\u7684 std::","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#252-for","title":"2.5.2 \u4f7f\u7528 for \u8bed\u53e5\u6765\u7f29\u77ed\u7a0b\u5e8f","text":"<ul> <li>\u533a\u95f4\u7684\u8d8a\u754c\u503c\uff08off-the-end value\uff09</li> </ul> C++<pre><code>for (int r = 0; r != rows; ++r) {\n\n}\n</code></pre> <ul> <li>\u8fd9\u662f\u534a\u5f00\u533a\u95f4</li> </ul> C++<pre><code>for (init-statement condition; expression)\n    statement\n\n#equals to\n\n{\n    inti-statement\n    while (condition) {\n        statement\n        expression;\n    }\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#253","title":"2.5.3 \u538b\u7f29\u68c0\u6d4b","text":"<ul> <li>\u5c31\u662f\u628a if \u8bed\u53e5\u5408\u5e76\u4e00\u4e0b</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#254","title":"2.5.4 \u5b8c\u6574\u7684\u6846\u67b6\u7a0b\u5e8f","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#26","title":"2.6 \u8ba1\u6570","text":"<ul> <li>\u4e0d\u5bf9\u6210\u533a\u95f4\u53ef\u4ee5\u76f4\u63a5\u770b\u51fa\u6709\u591a\u5c11\u4e2a\u5143\u7d20<ul> <li>\\(\\displaystyle [m, n]\\) \u6709 m - n \u4e2a\u5143\u7d20</li> </ul> </li> <li>\u800c\u4e14\u53ef\u4ee5\u8868\u793a\u7a7a\u533a\u95f4 \\(\\displaystyle [n, n]\\) </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#27","title":"2.7 \u5c0f\u7ed3","text":"<ul> <li>\u8868\u8fbe\u5f0f<ul> <li>\u64cd\u4f5c\u6570\u7684\u7ec4\u5408\u65b9\u5f0f</li> <li>\u64cd\u4f5c\u6570\u5982\u4f55\u88ab\u8f6c\u6362</li> <li>\u64cd\u4f5c\u6570\u7684\u8fd0\u7b97\u6b21\u5e8f</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#3","title":"3 \u4f7f\u7528\u6279\u91cf\u6570\u636e","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#31","title":"3.1 \u8ba1\u7b97\u5b66\u751f\u6210\u7ee9","text":"C++<pre><code>#include &lt;iomanip&gt;\n#include &lt;ios&gt;\n#include &lt;iostream&gt;\n#include &lt;string&gt;\n\nusing std::cin;\nusing std::cout;\nusing std::endl;\nusing std::precision;\n\nint main() {\n    cout &lt;&lt; \"Please enter your first name:\";\n    string name;\n    cin &gt;&gt; name;\n    cout &lt;&lt; \"Hello, \" &lt;&lt; name &lt;&lt; \"!\" &lt;&lt; endl;\n\n    cout &lt;&lt; \"Please enter your midterm and final exam grades:\";\n    double midterm, final;\n    cin &gt;&gt; midterm &gt;&gt; final;\n\n    cout &lt;&lt; \"Enter all your homework grades, \" \n            \"followed by end-of-file:\";\n\n    int count = 0;\n    double sum = 0;\n\n    double x;\n\n    while (cin &gt;&gt; x) {\n        ++ count;\n        sum += x;\n    }\n\n    streamsize prec = cout.precision();\n    cout &lt;&lt; \"Your final grade is \" &lt;&lt; setprecision(3)\n         &lt;&lt; 0.2 * midterm + 0.4 * final + 0.4 * sum / count\n         &lt;&lt; setprecision(prec) &lt;&lt; endl; //\u91cd\u7f6e\u6709\u6548\u4f4d\u6570 \u6216\u5199\u6210cout.precision(prec);\n    return 0;\n}\n</code></pre> <ul> <li>\u8f93\u5165\u8fd0\u7b97\u7b26\u8fd4\u56de\u5b83\u7684\u5de6\u64cd\u4f5c\u6570\u4f5c\u4e3a\u7ed3\u679c</li> <li>\u5374\u7701\u521d\u59cb\u5316</li> <li>setprecision \u4e5f\u662f\u4e00\u4e2a\u63a7\u5236\u5668: \u4e3a\u6d41\u7684\u540e\u7ee7\u8f93\u51fa\u8bbe\u7f6e\u4e86\u4e00\u4e2a\u7279\u5b9a\u7684\u6709\u6548\u4f4d\u6570</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#311","title":"3.1.1 \u68c0\u6d4b\u8f93\u51fa","text":"<ul> <li>istream \u53ef\u4ee5\u88ab\u8f6c\u6362\u6210 bool \u503c</li> <li>\u6709\u4e09\u79cd\u60c5\u51b5\u6761\u4ef6\u4f1a\u53d8\u5047:<ul> <li>\u8fbe\u5230\u8f93\u5165\u6587\u4ef6\u7684\u7ed3\u5c3e</li> <li>\u8f93\u5165\u548c\u6211\u4eec\u8bd5\u56fe\u8bfb\u53d6\u7684\u53d8\u91cf\u7c7b\u578b\u4e0d\u4e00\u81f4</li> <li>\u68c0\u6d4b\u5230\u4e00\u4e2a\u786c\u4ef6\u95ee\u9898</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#312","title":"3.1.2 \u5faa\u73af\u4e0d\u53d8\u5f0f","text":"<p>\u4e0d\u662f\u5f88\u61c2</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#32","title":"3.2 \u7528\u4e2d\u503c\u4ee3\u66ff\u5e73\u5747\u503c","text":"<p>\u90a3\u4e48\u5c31\u8981\u6392\u5e8f\u4e86</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#321","title":"3.2.1 \u628a\u6570\u636e\u96c6\u5408\u5b58\u50a8\u5728\u5411\u91cf\u4e2d","text":"C++<pre><code>double x;\nvector&lt;double&gt; homework;\n\nwhile(cin &gt;&gt; x)\n    homework.push_back(x);\n</code></pre> <ul> <li>\u6211\u4eec\u4f7f\u7528\u4e86\u4e00\u79cd\u540d\u4e3a\u6a21\u677f\u7c7b\u7684\u8bed\u8a00\u7279\u5f81</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#322","title":"3.2.2 \u4ea7\u751f\u8f93\u51fa","text":"C++<pre><code>typedef vector&lt;double&gt;::size_type vec_sz;\nvec_sz size = homework.size();\n</code></pre> <ul> <li>\u6211\u4eec\u5e0c\u671b\u4fdd\u6301\u7cfb\u7edf\u73af\u5883\u7684\u72ec\u7acb\u6027</li> </ul> C++<pre><code>if (size  == 0) {\n    cout &lt;&lt; endl &lt;&lt; \"You must enter your grades. \"\n                    \"Please try again.\" &lt;&lt; endl;\n    return 1;\n}\n\nsort (homework.begin(), homework.end());\n\nvec_sz mid = size / 2;\ndouble median;\nmedian = size % 2 == 0 ? (homework[mid] + homework[mid - 1]) / 2\n                       : homework[mid];\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#323","title":"3.2.3 \u4e00\u4e9b\u66f4\u4e3a\u6df1\u5165\u7684\u89c2\u5bdf","text":"<ul> <li>size_type \u662f\u65e0\u7b26\u53f7\u6574\u6570\u7c7b\u578b</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#33","title":"3.3 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#4","title":"4 \u7ec4\u7ec7\u7a0b\u5e8f\u548c\u6570\u636e","text":"<ul> <li>\u8fd9\u4e9b\u5e93\u5de5\u5177\u6709\u51e0\u4e2a\u540c\u6837\u7684\u7279\u6027:<ul> <li>\u80fd\u89e3\u51b3\u67d0\u4e9b\u7279\u5b9a\u7c7b\u578b\u7684\u95ee\u9898</li> <li>\u4e0e\u5176\u4ed6\u7684\u5927\u591a\u6570\u5de5\u5177\u90fd\u76f8\u4e92\u72ec\u7acb</li> <li>\u90fd\u5177\u6709\u4e00\u4e2a\u540d\u79f0</li> </ul> </li> <li>\u4e24\u79cd\u65b9\u6cd5\u6765\u7ec4\u7ec7\u5927\u578b\u7684\u7a0b\u5e8f<ul> <li>\u51fd\u6570</li> <li>\u6570\u636e\u7ed3\u6784</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#41","title":"4.1 \u7ec4\u7ec7\u8ba1\u7b97","text":"<ul> <li>\u53c2\u6570\u7684\u521d\u59cb\u503c\u662f\u76f8\u5e94\u53c2\u6570\u503c\u7684\u590d\u5236\uff0c\u5373\u6309\u503c\u8c03\u7528\uff08call by value\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#411","title":"4.1.1 \u67e5\u627e\u4e2d\u503c","text":"C++<pre><code>double median(vector&lt;double&gt; vec)\n{\n    typedef vector&lt;double&gt;::size_type vec_sz;\n    vec_sz size = vec.size();\n    if (size == 0)\n        throw domain_error(\"median of an empty vector\");\n    sort(vec.begin(), vec.end());\n    vec_sz mid = size / 2;\n    return size % 2 == 0 ? (vec[mid] + vec[mid - 1]) / 2 : vec[mid];\n}\n</code></pre> <ul> <li>\u629b\u51fa\u5f02\u5e38</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#412","title":"4.1.2 \u91cd\u65b0\u5236\u5b9a\u8ba1\u7b97\u6210\u7ee9\u7684\u7b56\u7565","text":"<ul> <li>\u53ea\u80fd\u628a\u4e0d\u662f\u5e38\u91cf\u7684\u5f15\u7528\u7ed9\u5e38\u91cf\u7684\uff0c\u5373\u6761\u4ef6\u53ea\u80fd\u52a0\u5f3a</li> <li>\u6709\u597d\u51e0\u4e2a\u540c\u6837\u51fd\u6570\u540d\u7684\u51fd\u6570\u65f6\uff0c\u4f1a\u53d1\u751f\u91cd\u8f7d</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#413","title":"4.1.3 \u8bfb\u5bb6\u5ead\u4f5c\u4e1a\u6210\u7ee9","text":"<ul> <li>\u5de6\u503c\u53c2\u6570: \u975e\u4e34\u65f6\u5bf9\u8c61</li> </ul> C++<pre><code>istream read_hw(istream&amp; in, vector&lt;double&gt;&amp; hw)\n{\n    if (in) {\n        hw.clear();\n        double x;\n        while (in &gt;&gt; x) \n            hw.push_back(x);\n        in.clear();\n    }\n    return in;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#414","title":"4.1.4 \u4e09\u79cd\u51fd\u6570\u53c2\u6570","text":"<ul> <li>\u4e00\u822c\u800c\u8a00\uff0c\u6211\u4eec\u6ca1\u6709\u5fc5\u8981\u4e3a\u4e86 int \u6216 double \u8fd9\u6837\u89c1\u5230\u4f60\u7684\u5185\u90e8\u7c7b\u578b\u7684\u53c2\u6570\u800c\u53bb\u4f7f\u7528 const \u5f15\u7528</li> <li>\u5982\u679c\u4f20\u5165 read_hw () \u7684\u4e0d\u662f\u4e00\u4e2a\u5de6\u503c\uff0c\u90a3\u4e48\u6211\u4eec\u4f1a\u628a\u8f93\u5165\u5b58\u5230\u4e00\u4e2a\u6211\u4eec\u65e0\u59a8\u8bbf\u95ee\u7684\u5bf9\u8c61\u4e2d\uff08\u6539\u5bf9\u8c61\u4f1a\u5728 read_hw() \u8fd4\u56de\u65f6\u7acb\u5373\u6d88\u5931\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#415","title":"4.1.5 \u4f7f\u7528\u51fd\u6570\u6765\u8ba1\u7b97\u5b66\u751f\u7684\u6210\u7ee9","text":"<ul> <li>\u4e0d\u8981\u8ba9\u4e00\u6761\u8bed\u53e5\u4e2d\u7684\u526f\u4f5c\u7528\u4e2a\u6570\u8d85\u8fc7\u4e00\u4e2a</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#42","title":"4.2 \u7ec4\u7ec7\u6570\u636e","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#421","title":"4.2.1 \u628a\u4e00\u4e2a\u5b66\u751f\u7684\u6240\u6709\u6570\u636e\u653e\u7f6e\u5728\u4e00\u8d77","text":"C++<pre><code>struct Student_info {\n    string name;\n    double midterm, final;\n    vector&lt;double&gt; homework;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#422","title":"4.2.2 \u5904\u7406\u5b66\u751f\u8bb0\u5f55","text":"C++<pre><code>istream&amp; read(istream&amp; is, Student_info&amp; s)\n{\n    is &gt;&gt; s.name &gt;&gt; s.midterm &gt;&gt; s.final;\n    read_hw(is, s.homework);\n    return is;\n}\n\ndouble grade(const Student_info&amp; s) \n{\n    return grade(s.midterm, s.final, s.homework);\n}\n\nbool compare(const Student_info&amp; x, const Studeng_info&amp; y)\n{\n    return x.name &lt; y.name;\n}\n\nsort(students.begin(), students.end(), compare;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#423","title":"4.2.3 \u751f\u6210\u62a5\u8868","text":"C++<pre><code>cout &lt;&lt; setw(maxlen + 1) &lt;&lt; student[i].name;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#43","title":"4.3 \u628a\u5404\u90e8\u5206\u4ee3\u7801\u8fde\u63a5\u5230\u4e00\u8d77","text":"Text Only<pre><code>#ifndef GUARD_median_h\n#define GUARD_median_h //\u9884\u5904\u7406\u7a0b\u5e8f\n\n#include &lt;vector&gt;\ndouble median(vector&lt;double&gt;);\n\n#endif\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#44","title":"4.4 \u628a\u8ba1\u7b97\u6210\u7ee9\u7684\u7a0b\u5e8f\u5206\u5757","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#45","title":"4.5 \u4fee\u6b63\u540e\u7684\u8ba1\u7b97\u6210\u7ee9\u7684\u7a0b\u5e8f","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#46","title":"4.6 \u5c0f\u7ed3","text":"<ul> <li>\u7528\u6237\u5b9a\u4e49\u7684\u5934\u6587\u4ef6\u4e00\u822c\u4ee5 .h \u7ed3\u5c3e</li> <li>\u4e0d\u5e94\u8be5\u5728\u5934\u6587\u4ef6\u4e2d\u4f7f\u7528 using \u58f0\u660e</li> <li>\u7528 \\(\\displaystyle \\#\\) ifndef \u6307\u4ee4\u6765\u9632\u6b62\u5bf9\u5934\u6587\u4ef6\u7684\u91cd\u590d\u5305\u542b</li> <li>\u5185\u8054\u5b50\u8fc7\u7a0b\u901a\u5e38\u65f6\u5728\u5934\u6587\u4ef6\u800c\u4e0d\u662f\u5728\u6e90\u6587\u4ef6\u4e2d\u5b9a\u4e49 inline<ul> <li>\u4e3a\u4e86\u6bd4\u5356\u4f60\u51fd\u6570\u8c03\u7528\u7684\u989d\u5916\u5f00\u9500\uff0c\u7f16\u8bd1\u5668\u4f1a\u7528\u51fd\u6570\u4f53\u7684\u4e00\u4e2a\u590d\u5236\u6765\u66ff\u6362\u5bf9\u51fd\u6570\u7684\u6bcf\u4e00\u4e2a\u8c03\u7528\u5e76\u6839\u636e\u9700\u8981\u8fdb\u884c\u4fee\u6b63</li> </ul> </li> <li>\u5f02\u5e38\u5904\u7406</li> </ul> C++<pre><code>try{\n} catch (t) { }\n</code></pre> <ul> <li>\u5f02\u5e38\u7c7b</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#5","title":"5 \u4f7f\u7528\u987a\u5e8f\u5bb9\u5668\u5e76\u5206\u6790\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#51","title":"5.1 \u6309\u7c7b\u522b\u6765\u533a\u5206\u5b66\u751f","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students)\n{\n    vector&lt;Student_info&gt; pass, fail;\n    for (vector&lt;Student_info&gt;::size_type i = 0; i != students.size(); ++i;)\n    if (fgrade(student[i]))\n        fail.push_back(student[i]);\n    else\n        pass.push_back(student[i]);\n    students = pass;\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#511","title":"5.1.1 \u5c31\u5730\u5220\u9664\u51fd\u6570","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students)\n{\n    vector&lt;Student_info&gt; fail;\n    vector&lt;Student_info&gt;::size_type i =  0;\n    while (i != students.size()) {\n        if (fgrade(studentp[i])) {\n            fail.push_back(students[i]);\n            students.erase(students.begin() + i);\n        } else\n            ++i;\n    }\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#512","title":"5.1.2 \u987a\u5e8f\u5b58\u53d6\u4e0e\u968f\u673a\u5b58\u53d6","text":"<ul> <li>\u8bbf\u95ee\u5bb9\u5668\u65f6\u6240\u91c7\u53d6\u7684\u6b21\u5e8f\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u6027\u80fd\u7279\u6027</li> <li>\u4e8e\u662f\u4fbf\u6709\u4e86 iterator</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#52","title":"5.2 \u8fed\u4ee3\u5668","text":"<ul> <li>iterator<ul> <li>\u8bc6\u522b\u4e00\u4e2a\u5bb9\u5668\u4ee5\u53ca\u5bb9\u5668\u4e2d\u7684\u4e00\u4e2a\u5143\u7d20</li> <li>\u8ba9\u6211\u4eec\u68c0\u67e5\u5b58\u50a8\u5728\u8fd9\u4e2a\u5143\u7d20\u4e2d\u7684\u503c</li> <li>\u63d0\u4f9b\u64cd\u4f5c\u6765\u79fb\u52a8\u5728\u5bb9\u6613\u4e2d\u7684\u5143\u7d20</li> <li>\u91c7\u7528\u5bf9\u5e94\u4e8e\u5bb9\u5668\u6240\u80fd\u591f\u6709\u6548\u5904\u7406\u7684\u65b9\u5f0f\u5bf9\u53ef\u7528\u7684\u64cd\u4f5c\u8fdb\u884c\u7ea6\u675f</li> </ul> </li> </ul> C++<pre><code>for (vector&lt;Student_info&gt;::size_type i = 0; i != students.end(); ++i)\n    cout &lt;&lt; students[i].name &lt;&lt; endl;\nfor (vector&lt;Student_info&gt;::const_iterator iter = students.begin();\n    iter != students.end(); ++iter) {\n    cout &lt;&lt; (*iter).name &lt;&lt; endl; }\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#521","title":"5.2.1 \u8fed\u4ee3\u5668\u7c7b\u578b","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#522","title":"5.2.2 \u8fed\u4ee3\u5668\u64cd\u4f5c","text":"<ul> <li>end \u7d27\u63a5\u5728\u5bb9\u5668\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u540e\u9762\u7684\u4f4d\u7f6e</li> <li>++iter \u7528\u4e86\u8fed\u4ee3\u5668\u7c7b\u578b\u91cd\u8f7d</li> <li>\u5f53\u6211\u4eec\u7528\u95f4\u63a5\u5f15\u7528\u8fd0\u7b97\u7b26 \\(\\displaystyle *\\) \u6765\u8bbf\u95ee\u8fd9\u4e2a\u5143\u7d20\uff0c\u90a3\u4e48\u4ed6\u4f1a\u8fd4\u56de\u4e00\u4e2a\u5de6\u503c\uff08\u8fed\u4ee3\u5668\u6240\u6307\u5411\u7684\u5143\u7d20\uff09</li> <li>\\(\\displaystyle .\\) \u7684\u4f18\u5148\u7ea7\u6bd4 \\(\\displaystyle *\\) \u9ad8</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#523","title":"5.2.3 \u4e00\u70b9\u8bed\u6cd5\u77e5\u8bc6","text":"C++<pre><code>(*iter).name\niter-&gt;name\n//both are ok\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#524-students-erase-students-begin-i","title":"5.2.4 students. erase (students. begin () + i) \u7684\u542b\u4e49","text":"<ul> <li>students \u4e0d\u652f\u6301\u968f\u673a\u8bbf\u95ee\u7d22\u5f15\u64cd\u4f5c\u7684\u5bb9\u5668\uff0c\u4f46\u662f\u4ecd\u4f1a\u5141\u8bb8\u8fed\u4ee3\u5668\u7684\u968f\u673a\u8bbf\u95ee</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#53","title":"5.3 \u7528\u8fed\u4ee3\u5668\u6765\u4ee3\u66ff\u7d22\u5f15","text":"C++<pre><code>vecotr&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students)\n{\n    vector&lt;Student_info&gt; fail;\n    vector&lt;Student_info&gt;::iterator iter = students.begin();\n    while (iter != students.end()) {\n        if (fgrade(*iter)) {\n            fail.push_back(*iter);\n            iter = students.erase(iter); //important\n        } else\n            ++iter;\n    }\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#54","title":"5.4 \u91cd\u65b0\u601d\u8003\u6570\u636e\u7ed3\u6784\u4ee5\u5b9e\u73b0\u66f4\u597d\u7684\u6027\u80fd","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#55-list","title":"5.5 list \u7c7b\u578b","text":"<ul> <li>\u76f4\u63a5\u628a\u6240\u6709\u7684 vector \u6362\u6210 list \u5c31\u53ef\u4ee5\u4e86</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#551","title":"5.5.1 \u4e00\u4e9b\u91cd\u8981\u7684\u5dee\u522b","text":"<ul> <li>list \u7c7b\u7684\u8fed\u4ee3\u5668\u5e76\u4e0d\u652f\u6301\u5b8c\u5168\u968f\u673a\u7684\u8bbf\u95ee<ul> <li>\u6240\u4ee5\u6211\u4eec\u4e0d\u80fd\u7528 sort \u51fd\u6570</li> <li>\u4f46\u662f list \u6709\u81ea\u5df1\u6210\u5458\u51fd\u6570</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#552","title":"5.5.2 \u4e00\u4e2a\u607c\u4eba\u7684\u8bdd\u9898","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#56","title":"5.6 \u5206\u5272\u5b57\u7b26\u4e32","text":"C++<pre><code>vector&lt;string&gt; split(const string&amp; s)\n{\n    vector&lt;string&gt; ret;\n    typedef string::size_def string_size;\n    string_size i = 0;\n    while (i != s.size()) {\n        while (i != s.size() &amp;&amp; isspace(s[i])) // is from &lt;cctype&gt;\n            ++i;\n        string_size j = i;\n        while (j != s.size() &amp;&amp; !isspace(s[i]))\n            ++j;\n        if (i != j) {\n            ret.push_back(s.substr(i, j - i));\n            i = j;\n        }\n    }\n    return ret;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#57-split","title":"5.7 \u6d4b\u8bd5 split \u51fd\u6570","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#58","title":"5.8 \u8fde\u63a5\u5b57\u7b26\u4e32","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#581","title":"5.8.1 \u4e3a\u56fe\u6848\u88c5\u6846","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#582","title":"5.8.2 \u7eb5\u5411\u8fde\u63a5","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#583","title":"5.8.3 \u6a2a\u5411\u8fde\u63a5","text":"<p>TODO</p>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#59","title":"5.9 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#6","title":"6 \u4f7f\u7528\u5e93\u7b97\u6cd5","text":"<ul> <li>\u5229\u7528\u516c\u7528\u63a5\u53e3\u6765\u63d0\u4f9b\u4e00\u4e2a\u6807\u51c6\u7b97\u6cd5\u96c6\u5408</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#61","title":"6.1 \u5206\u6790\u5b57\u7b26\u4e32","text":"C++<pre><code>for (vector&lt;string&gt;::const_iterator it = bottom.begin(); it != bottom.end(); ++i)\n    ret.push_back(*it);\n\nret.insert(ret.end(), bottom.begin(), bottom.end());\n\ncopy(bottom.begin(), bottom.end(), back_inserter(ret));\n</code></pre> <ul> <li>copy \u662f\u4e00\u4e2a\u6cdb\u578b (generic) \u7b97\u6cd5\u7684\u4f8b\u5b50</li> <li>back_inserter \u662f\u4e00\u4e2a\u8fed\u4ee3\u5668\u9002\u914d\u5668\u7684\u4f8b\u5b50</li> </ul> C++<pre><code>copy(begin, end, out);\n//equals to\nwhile (begin != end)\n    *out++ = *begin++;\n    // equals to \n    // *out = *begin; ++out; ++begin;\n\nit = begin++;\n//equals to\nit = begin;\n++begin;\n</code></pre> <ul> <li>\u8fed\u4ee3\u5668\u9002\u914d\u5668\u662f\u4e00\u4e2a\u4ea7\u751f\u8fed\u4ee3\u5668\u7684\u4e1c\u897f</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#611-split","title":"6.1.1 \u53e6\u4e00\u4e2a\u5b9e\u73b0 split \u7684\u65b9\u6cd5","text":"C++<pre><code>bool space(char c) {\n    return isspace(c);\n}\nbool not_space(char c) {\n    return !isspace(c);\n}\nvector&lt;string&gt; split(const string&amp; str) {\n    typedef string::const_iterator iter;\n    vector&lt;string&gt; ret;\n    iter i = str.begin();\n    while(i != str.end()) {\n        i = find_if(i, str.end(), not_space);\n        iter j = find_if(i, str.end(), space);\n        if (i != str.end()) ret.push_back(string(i, j));\n        i = j;  \n    }\n    return ret;\n}\n</code></pre> <ul> <li>\u6211\u4eec\u9700\u8981\u7f16\u5199\u6211\u4eec space \u548c not_space \u662f\u7528\u6765\u89e3\u91ca\u6211\u4eec\u6240\u6307\u7684\u662f\u54ea\u4e2a\u7248\u672c\u7684 isspace</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#612","title":"6.1.2 \u56de\u6587","text":"C++<pre><code>bool is_palindrome(const string&amp; s) {\n    return equal(s.begin(), s.end(), s.rbegin());\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#613-url","title":"6.1.3 \u67e5\u627e URL","text":"<ul> <li>protocol://resource-name</li> </ul> C++<pre><code>vector&lt;string&gt; find_urls(const string&amp; s) {\n    vector&lt;string&gt; ret;\n    typedef string::const_iterator iter;\n    iter b = s.begin(), e = s.end();\n    while (b != e) {\n        b = url_beg(b, e);\n        if (b != e) {\n            iter after = url_end(b, e);\n            ret.push_back(string(b, after));\n            b = after;\n        }\n    }\n    return ret;\n}\n\nstring::const_iterator url_end(string::const_iterator b, string::const_iterator e) {\n    return find_if(b, e, not_url_char);\n}\n\nbool not_url_char(char c) {\n    static const string url_ch = \"~;/?@=&amp;$-_.+!*{},'\";\n    return !(isalnum(c)) || find(url_ch.begin(), url_ch.end(), c) != url_end());\n    //static\u58f0\u660e\u7684\u5c40\u90e8\u53d8\u91cf\u5177\u6709\u5168\u5c40\u5bff\u547d\uff0c\u751f\u5b58\u671f\u8d2f\u7a7f\u6574\u4e2a\u51fd\u6570\u8c03\u7528\u8fc7\u7a0b\n}\n\nstring::const_iterator url_beg(string::const_iterator b, string::const_iterator e) {\n    static const string sep = \"://\";\n    typedef string::const_iterator iter;\n    iter i = b;\n    while ((i = search(i, e, sep.begin(), sep.end())) != e) {\n        if (i != b &amp;&amp; i + sep.size() != e) {\n            iter beg = i;\n            while (beg != b &amp;&amp; isalpha(beg[-1]))\n                --beg;\n            if (beg != i &amp;&amp; i + sep.size() != e &amp;&amp; !not_url_char(i[sep.size()])) return beg;\n        }\n        if (i != e) i += sep.size();\n    }\n    return e;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#62","title":"6.2 \u5bf9\u8ba1\u7b97\u6210\u7ee9\u7684\u65b9\u6848\u8fdb\u884c\u6bd4\u8f83","text":"<ol> <li>\u8bfb\u6240\u6709\u7684\u5b66\u751f\u8bb0\u5f55\uff0c\u628a\u505a\u4e86\u5168\u90e8\u5bb6\u5ead\u4f5c\u4e1a\u7684\u5b66\u751f\u4e0e\u5176\u4ed6\u7684\u5b66\u751f\u5206\u9694\u5f00\u3002</li> <li>\u5bf9\u6bcf\u4e00\u7ec4\u4e2d\u7684\u6240\u6709\u5b66\u751f\u5206\u522b\u4f7f\u7528\u6bcf\u4e00\u4e2a\u7684\u8ba1\u7b97\u6210\u7ee9\u7684\u65b9\u6848\uff0c\u62a5\u544a\u6bcf\u4e00\u7ec4\u7684\u4e2d\u503c\u6210\u7ee9\u3002</li> </ol>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#621","title":"6.2.1 \u5904\u7406\u5b66\u751f\u8bb0\u5f55","text":"C++<pre><code>bool did_all_hw(const Student_info&amp; s) {\n    reutrn ((fint(s.homework.begin(), s.homework.end(), 0)) == s.homework.end());\n}\n\nvector&lt;Student_info&gt; did, didnt;\nStudent_info student;\n\nwhile (read(cin, student)) {\n    if (did_all_hw(student))\n        did.push_back(student);\n    else\n        didnt.push_back(student);\n}\nif (did.empty()) {\n    cout &lt;&lt; \"No student did all the homework!\" &lt;&lt; endl;\n    return 1;\n}\nif (didnt.empty()) {\n    cout &lt;&lt; \"Every student did all the homework!\" &lt;&lt; endl;\n    return 1;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#622","title":"6.2.2 \u5206\u6790\u6210\u7ee9","text":"C++<pre><code>write_analysis(cout, \"median\", median_analysis, did, didn't);\n\ndouble grade_aux(const Student_info&amp; s) {\n    tru {\n        return grade(s);\n    } catch (domain_error) {\n        return grade(s.midterm, s.final, 0);\n    }\n}\n\ndouble median_analysis(const vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;double&gt; grades;\n    transdorm(students.begin(), students.end(), back_inserter(grades), grade_aux);\n    return medina(grades);\n}\n\nvoid write_analysis(ostream&amp; out, const string&amp; name, double analysis(const vector&lt;Student_info&gt;&amp;), const vector&lt;Student_info&gt;&amp; did, const vector&lt;Student_info&gt;&amp; didnt) {\n    out &lt;&lt; name &lt;&lt; \": median(did) = \" &lt;&lt; analysis(did) &lt;&lt; \", median(didnt) = \" &lt;&lt; analysis(didnt) &lt;&lt; endl; \n}\n\nint main() {\n    vector&lt;Student_info&gt; did, didnt;\n    Student_info student;\n    while (read(cin, student)) {\n        if (did_all_hw(student))\n            did.push_back(student);\n        else \n            didnt.push_back(student);\n    }\n    if (did.empty()) {\n        cout &lt;&lt; \"No student did all the homework!\" &lt;&lt; endl;\n        return 1;\n    }\n    if (didnt.empty()) {\n        cout &lt;&lt; \"Every student did all the homework!\" &lt;&lt; endl;\n        return 1;\n    }\n    write_analysis(cout, \"median\", median_analysis, did, didnt);\n    write_analysis(cout, \"average\", average_analysis, did, didnt);\n    write_analysis(cout, \"medina of homework turned in\", optimistic_median_analysis, did, didnt);\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#623","title":"6.2.3 \u8ba1\u7b97\u57fa\u4e8e\u5bb6\u5ead\u4f5c\u4e1a\u5e73\u5747\u6210\u7ee9\u7684\u603b\u6210\u7ee9","text":"C++<pre><code>double average(const vector&lt;double&gt;&amp; v) {\n    return accumulate(v.begin(), v.end(), 0.0) / v.size();\n}\n\ndouble average_analysis(const Student_info&amp; s) {\n    return grade(s.midterm, s.final, average(s.homework));\n}\n\ndouble average_analysis(const vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;double&gt; grades;\n    transform(students.begin(), students.end(), back_inserter(grades), average_grade);\n    return median(grades);\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#624","title":"6.2.4 \u4e0a\u4ea4\u7684\u5bb6\u5ead\u4f5c\u4e1a\u7684\u4e2d\u503c","text":"C++<pre><code>double optimistic_median(const Student_info&amp; s) {\n    vector&lt;double&gt; nonzero;\n    remove_copy(s.homework.begin(), s.homework.end(), back_inserter(nonzero), 0);\n    if (nonzero.empty())\n        return grade(s.midterm, s.final, 0);\n    else \n        return grade(s.midterm, s.final, median(nonzero));\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#63","title":"6.3 \u5bf9\u5b66\u751f\u8fdb\u884c\u5206\u7c7b\u5e76\u56de\u987e\u4e00\u4e0b\u6211\u4eec\u7684\u95ee\u9898","text":"<ul> <li>\u4f7f\u7528\u4e00\u4e9b\u7b97\u6cd5\u5e93\u6765\u89e3\u51b3\u95ee\u9898</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#631","title":"6.3.1 \u4e00\u79cd\u4e24\u6b21\u4f20\u9012\u7684\u89e3\u51b3\u65b9\u6848","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;Student_info&gt; fail;\n    remove_copy_if(students.begin(), students.end(), back_inserter(fail), pgrade);\n    students.earse(remove_if(students.begin(), students.end(), fgrade), student.end());\n    return fail;\n}\n\nbool pgrade(const Student_info&amp; s) {\n    return !fgrade(s);\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#64","title":"6.4 \u4e00\u79cd\u4e00\u6b21\u4f20\u9012\u7684\u89e3\u51b3\u65b9\u6848","text":"C++<pre><code>vector&lt;Student_info&gt; extract_fails(vector&lt;Student_info&gt;&amp; students) {\n    vector&lt;Student_info&gt;::iterator iter = stable_partition(students.begin(), students.end(), pgrade);\n    vector&lt;Student_info&gt; fail(iter, students.end());\n    students.erase(iter, students.end());\n    return fail;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#65","title":"6.5 \u7b97\u6cd5\u3001\u5bb9\u5668\u4ee5\u53ca\u8fed\u4ee3\u5668","text":"<ul> <li>\u7b97\u6cd5\u4f5c\u7528\u4e8e\u5bb9\u5668\u7684\u5143\u7d20\uff0c\u800c\u4e0d\u662f\u4f5c\u7528\u4e8e\u5bb9\u5668</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#7","title":"7 \u4f7f\u7528\u5173\u8054\u5bb9\u5668","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#71","title":"7.1 \u652f\u6301\u9ad8\u6548\u67e5\u627e\u7684\u5bb9\u5668","text":"<ul> <li>\u5173\u8054\u5bb9\u5668\u4f1a\u5bf9\u63d2\u5165\u7684\u5143\u7d20\u8fdb\u884c\u6392\u5e8f\u6765\u63d0\u9ad8\u67e5\u627e\u7684\u901f\u5ea6</li> <li>\u5173\u8054\u6570\u7ec4\u5c31\u662f\u6709 key-value \u7684\u6570\u7ec4<ul> <li>map: \u6620\u5c04\u8868\u7684\u7d22\u5f15\u4e0d\u4e00\u5b9a\u662f\u6574\u6570</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#72","title":"7.2 \u8ba1\u7b97\u5355\u8bcd\u6570","text":"C++<pre><code>int main() {\n    string s;\n    map&lt;string, int&gt; counters;\n    while (cin &gt;&gt; s) ++counters[s];\n    for (map&lt;string, int&gt;::const_iterator it = counters.begin(); it != couners.end(); ++it) {\n        cout &lt;&lt; it-&gt;first &lt;&lt; \"\\t\" &lt;&lt; it-&gt;second &lt;&lt; endl;\n    }\n    return 0;\n}\n</code></pre> <ul> <li>\u6570\u5bf9\uff08pair\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#73","title":"7.3 \u4ea7\u751f\u4e00\u4e2a\u4ea4\u53c9\u5f15\u7528\u8868","text":"C++<pre><code>map&lt;string, vector&lt;int&gt; &gt; xref(istream&amp; in, vector&lt;string&gt; find_words(const string&amp;) = split) {\n    string line;\n    int line_number = 0'\n    map&lt;string, vector&lt;int&gt;&gt; ret;\n    while (getline(in, line)) {\n        ++line_number;\n        vector&lt;string&gt; words = find_words(line);\n        for (vector&lt;string&gt;::const_iterator it = words.begin(); it != words.end(); ++it)\n            ret(*it).push_back(line_number);\n    }\n    return ret;\n}\n\n\nint main() {\n    map&lt;string, vector&lt;int&gt; &gt; ret = cref(cin);\n    for (map&lt;string, vector&lt;int&gt; &gt;::const_iterator it = ret.begin(); it != ret.end(); ++it) {\n        cout &lt;&lt; it-&gt;first &lt;&lt; \" occurs on line(s): \";\n        vector&lt;int&gt;::const_iterator line_it = it-&gt;second.begin();\n        cout &lt;&lt; *lint_it;\n        ++line_it;\n        while (line_it != it-&gt;second.end()) {\n            cout &lt;&lt; \", \" &lt;&lt; *line_it;\n            ++line_it;\n        }\n        cout &lt;&lt; endl;\n    }\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#74","title":"7.4 \u751f\u6210\u53e5\u5b50","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#741","title":"7.4.1 \u8868\u793a\u89c4\u5219","text":"C++<pre><code>typedef vector&lt;string&gt; Rule;\ntypedef vector&lt;Rule&gt; Rule_collection;\ntypedef map&lt;string, Rule_collection&gt; Grammer;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#742","title":"7.4.2 \u8bfb\u5165\u6587\u6cd5","text":"C++<pre><code>Grammer read_grammer(istream&amp; in) {\n    Grammer ret;\n    string line;\n    while (getline(in, line)) {\n        vector&lt;string&gt; entry = split(line);\n        if (!entry.empty())\n            ret[entry[0]].push_back(Rule(entry.begin() + 1, entry.end()));\n    }\n    return ret;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#743","title":"7.4.3 \u751f\u6210\u53e5\u5b50","text":"C++<pre><code>vector&lt;string&gt; gen_sentence(const Grammar&amp; g) {\n    vector&lt;string&gt; ret;\n    gen_aux(g, \"&lt;sentence&gt;\", ret);\n    return ret;\n}\n\nbool bracketed(const string&amp; s) {\n    return s.size() &gt; 1 &amp;&amp; s[0] == '&lt;' &amp;&amp; s[s.size() - 1] == '&gt;';\n}\n\nvoid gen_aux(const Grammar&amp; g, const string&amp; word, vector&lt;string&gt;&amp; ret) {\n    if (!bracketed(word)) {\n        ret.push_back(word);\n    } else {\n        Grammar::const_iterator it = g.find(word);\n        if (it == g.end())\n            throw logic_error(\"empty rule\");\n        const Rule_collection&amp; c = it-&gt;seond;\n        const Rule&amp; r = c[nrand(c.size())];\n        for (Rule::const_iterator i = r.begin(); i != r.end(); ++i)\n            gen_aux(g, *i, ret);\n    }\n}\n\nint main() {\n    vector&lt;string&gt; sentence = gen_sentence(read_grammar(cin));\n    vector&lt;string&gt;::const_iterator it = sentence.begin();\n    if (!sentence.empty()) {\n        cout &lt;&lt; *it;\n        ++it;   \n    }\n    while (it != sentence.end()) {\n        cout &lt;&lt; \" \" &lt;&lt; *it;\n        ++it;\n    }\n    cout &lt;&lt; endl;\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#744","title":"7.4.4 \u9009\u62e9\u4e00\u4e2a\u968f\u673a\u51fd\u6570","text":"C++<pre><code>int nrand(int n) {\n    if (n &lt;= 0 || n &gt; RAND_MAX)\n        throw domain_error(\"Argument to nrand is out of range\");\n    const int bucket_size = RAND_MAX / n;\n    int r;\n    do r = rand() / bucket_size;\n    while (r &gt;= n);\n    return r;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#75","title":"7.5 \u5173\u4e8e\u6027\u80fd\u7684\u4e00\u70b9\u8bf4\u660e","text":"<ul> <li>\u7528\u6563\u5217\u8868\u5b9e\u73b0\u5173\u8054\u6570\u7ec4\u5728 C++\u4e2d\u7684\u662f\u5f88\u56f0\u96be\u7684 \u6ca1\u641e\u61c2 </li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#76","title":"7.6 \u5c0f\u7ed3","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#8","title":"8 \u7f16\u5199\u6cdb\u578b\u51fd\u6570","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#81","title":"8.1 \u6cdb\u578b\u51fd\u6570\u662f\u4ec0\u4e48","text":"<ul> <li>\u5728\u4f7f\u7528\u51fd\u6570\u4e4b\u524d\u4e0d\u77e5\u9053\u53c2\u6570\u6216\u8005\u8fd4\u56de\u7c7b\u578b\u662f\u4ec0\u4e48</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#811","title":"8.1.1 \u672a\u77e5\u7c7b\u578b\u7684\u4e2d\u503c","text":"<ul> <li>\u5b9e\u73b0\u4e86\u6cdb\u578b\u51fd\u6570\u7684\u8bed\u8a00\u7279\u5f81\u88ab\u79f0\u4f5c\u6a21\u677f\u51fd\u6570</li> </ul>"},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#9","title":"9 \u5b9a\u4e49\u65b0\u7c7b\u578b","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#10","title":"10 \u7ba1\u7406\u5185\u5b58\u548c\u4f4e\u7ea7\u6570\u636e\u7ed3\u6784","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#11_1","title":"11 \u5b9a\u4e49\u62bd\u8c61\u6570\u636e\u7c7b\u578b","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#12_1","title":"12 \u4f7f\u7c7b\u5bf9\u8c61\u50cf\u4e00\u4e2a\u6570\u503c\u4e00\u6837\u5de5\u4f5c","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#13_1","title":"13 \u4f7f\u7528\u7ee7\u627f\u4e0e\u52a8\u6001\u7ed1\u5b9a","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#14","title":"14 \u8fd1\u4e4e\u81ea\u52a8\u5730\u7ba1\u7406\u5185\u5b58","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#15","title":"15 \u518d\u8c08\u5b57\u7b26\u56fe\u5f62","text":""},{"location":"CS%20basic/C%2B%2B/Accelerated%20C%2B%2B/#16-c","title":"16 \u4eca\u540e\u5982\u4f55\u5b66\u4e60 C++","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/","title":"C++","text":"<p> \u7ea6 3115 \u4e2a\u5b57  523 \u884c\u4ee3\u7801  9 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 17 \u5206\u949f</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#1","title":"1 \u6587\u4ef6\u64cd\u4f5c","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#11","title":"1.1 \u6587\u4ef6\u7684\u6982\u5ff5","text":"<ul> <li>C/C++\u628a\u6bcf\u4e00\u4e2a\u6587\u4ef6\u90fd\u770b\u6210\u662f\u4e00\u4e2a\u6709\u5e8f\u7684\u5b57\u8282\u6d41\uff0c\u4ee5\u6587\u4ef6\u7ed3\u675f\u6807\u5fd7\uff08EOF\uff09\u7ed3\u675f</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#12","title":"1.2 \u6587\u4ef6\u7684\u64cd\u4f5c\u6b65\u9aa4","text":"<ol> <li>\u6253\u5f00\u6587\u4ef6\uff0c\u8bb2\u6587\u4ef6\u6307\u9488\u6307\u5411\u6587\u4ef6\uff0c\u51b3\u5b9a\u6253\u5f00\u6587\u4ef6\u7684\u7c7b\u578b</li> <li>\u5bf9\u6587\u4ef6\u8fdb\u884c\u8bfb/\u5199\u64cd\u4f5c</li> <li>\u5728\u4f7f\u7528\u5b8c\u6587\u4ef6\u540e\uff0c\u5173\u95ed\u6587\u4ef6</li> </ol>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#13","title":"1.3 \u4e00\u4e9b\u51fd\u6570","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#131-freopen","title":"1.3.1 freopen \u51fd\u6570","text":"C++<pre><code>FILE* freopen(const char* filename, const char* mode, FILE* stream);\n</code></pre> <ul> <li>\u53c2\u6570\u8bf4\u660e<ul> <li><code>filename</code>: \u8981\u6253\u5f00\u7684\u6587\u4ef6\u540d</li> <li><code>mode</code>: \u6587\u4ef6\u6253\u5f00\u7684\u6a21\u5f0f\uff0c\u8868\u793a\u6587\u4ef6\u8bbf\u95ee\u7684\u6743\u9650</li> <li><code>stream</code>: \u6587\u4ef6\u6307\u9488\uff0c\u901a\u5e38\u4f7f\u7528\u6807\u51c6\u6587\u4ef6\u6d41 (<code>stdin/stdout</code>) \u6216\u6807\u51c6\u9519\u8bef\u8f93\u51fa\u6d41 (<code>stderr</code>)</li> <li>\u8fd4\u56de\u503c\uff1a\u6587\u4ef6\u6307\u9488\uff0c\u6307\u5411\u88ab\u6253\u5f00\u6587\u4ef6</li> </ul> </li> <li>\u6587\u4ef6\u6253\u5f00\u683c\u5f0f<ul> <li><code>r</code>\uff1a\u4ee5\u53ea\u8bfb\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u53ea\u5141\u8bb8\u8bfb\u5165\u6570\u636e\u00a0\uff08\u5e38\u7528\uff09</li> <li><code>r+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>rb</code>\uff1a\u4ee5\u53ea\u8bfb\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u53ea\u5141\u8bb8\u8bfb\u5165\u6570\u636e</li> <li><code>rb+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u5fc5\u987b\u5b58\u5728\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>rt+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u672c\u6587\u4ef6\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>w</code>\uff1a\u4ee5\u53ea\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u4f1a\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u53ea\u5141\u8bb8\u5199\u5165\u6570\u636e\u00a0\uff08\u5e38\u7528\uff09</li> <li><code>w+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>wb</code>\uff1a\u4ee5\u53ea\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u4f1a\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u53ea\u5141\u8bb8\u5199\u5165\u6570\u636e</li> <li><code>wb+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5426\u5219\u6e05\u7a7a\u5185\u5bb9\uff0c\u5141\u8bb8\u8bfb/\u5199\u6570\u636e</li> <li><code>a</code>\uff1a\u4ee5\u53ea\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e\uff08\u4fdd\u7559 EOF \u7b26\uff09</li> <li><code>a+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u4ef6\uff0c\u6587\u4ef6\u4e0d\u5b58\u5728\u5c06\u65b0\u5efa\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e\uff08\u4e0d\u4fdd\u7559 EOF \u7b26\uff09</li> <li><code>at+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u6587\u672c\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e</li> <li><code>ab+</code>\uff1a\u4ee5\u8bfb/\u5199\u65b9\u5f0f\u6253\u5f00\u4e8c\u8fdb\u5236\u6587\u4ef6\uff0c\u5199\u5165\u6570\u636e\u5c06\u88ab\u9644\u52a0\u5728\u6587\u4ef6\u672b\u5c3e \u4f7f\u7528\u65b9\u5f0f</li> </ul> </li> </ul> C++<pre><code>#include &lt;cstdio&gt;\n#include &lt;iostream&gt;\nint mian(void) {\n    freopen(\"data.in\", \"r\", stdin); \n    // data.in \u5c31\u662f\u8bfb\u53d6\u7684\u6587\u4ef6\u540d\uff0c\u8981\u548c\u53ef\u6267\u884c\u6587\u4ef6\u653e\u5728\u540c\u4e00\u76ee\u5f55\u4e0b\n    freopen(\"data.out\", \"w\", stdout); \n    // data.out \u5c31\u662f\u8f93\u51fa\u6587\u4ef6\u7684\u6587\u4ef6\u540d\uff0c\u548c\u53ef\u6267\u884c\u6587\u4ef6\u5728\u540c\u4e00\u76ee\u5f55\u4e0b\n    fclose(stdin);\n    fclose(stdout);\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#132-fopen","title":"1.3.2 fopen \u51fd\u6570","text":"C++<pre><code>FILE* fopen(const char* path, const char* mode)\n</code></pre> <p>\u4f7f\u7528\u65b9\u5f0f</p> C++<pre><code>FILE *in, *out; // \u5b9a\u4e49\u6587\u4ef6\u6307\u9488 \nin = fopen(\"data.in\", \"r\"); \nout = fopen(\"data.out\", \"w\"); \n/* do what you want to do */ \nfclose(in); \nfclose(out);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#14-c-ifstreamofstream","title":"1.4 C++ \u7684\u00a0<code>ifstream/ofstream</code>\u00a0\u6587\u4ef6\u8f93\u5165\u8f93\u51fa\u6d41","text":"C++<pre><code>#include &lt;fstream&gt; \nusing namespace std; \n// \u4e24\u4e2a\u7c7b\u578b\u90fd\u5728 std \u547d\u540d\u7a7a\u95f4\u91cc \nifstream fin(\"data.in\"); \nofstream fout(\"data.out\"); \nint main(void) { \n    /* \u4e2d\u95f4\u7684\u4ee3\u7801\u6539\u53d8 cin \u4e3a fin \uff0ccout \u4e3a fout \u5373\u53ef */ \n    fin.close(); \n    fout.close(); \n    return 0; \n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2","title":"2 \u6807\u51c6\u5e93","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#21-stl","title":"2.1 STL \u5bb9\u5668","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#211","title":"2.1.1 \u5e8f\u5217\u5f0f\u5bb9\u5668","text":"<ul> <li>\u5411\u91cf(<code>vector</code>) \u540e\u7aef\u53ef\u9ad8\u6548\u589e\u52a0\u5143\u7d20\u7684\u987a\u5e8f\u8868\u3002<ul> <li>\u53ef\u4ee5\u52a8\u6001\u5206\u914d\u5185\u5b58</li> <li>\u91cd\u5199\u4e86\u6bd4\u8f83\u8fd0\u7b97\u7b26\u53ca\u8d4b\u503c\u8fd0\u7b97\u7b26</li> <li>\u4fbf\u5229\u7684\u521d\u59cb\u5316</li> <li>std::vector - cppreference.com</li> </ul> </li> <li>\u6570\u7ec4(<code>array</code>)C++11\uff0c\u5b9a\u957f\u7684\u987a\u5e8f\u8868\uff0cC \u98ce\u683c\u6570\u7ec4\u7684\u7b80\u5355\u5305\u88c5\u3002</li> <li>\u53cc\u7aef\u961f\u5217(<code>deque</code>) \u53cc\u7aef\u90fd\u53ef\u9ad8\u6548\u589e\u52a0\u5143\u7d20\u7684\u987a\u5e8f\u8868\u3002</li> <li>\u5217\u8868(<code>list</code>) \u53ef\u4ee5\u6cbf\u53cc\u5411\u904d\u5386\u7684\u94fe\u8868\u3002</li> <li>\u5355\u5411\u5217\u8868(<code>forward_list</code>) \u53ea\u80fd\u6cbf\u4e00\u4e2a\u65b9\u5411\u904d\u5386\u7684\u94fe\u8868\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#212","title":"2.1.2 \u5173\u8054\u5f0f\u5bb9\u5668","text":"<ul> <li>\u96c6\u5408(<code>set</code>) \u7528\u4ee5\u6709\u5e8f\u5730\u5b58\u50a8\u00a0\u4e92\u5f02\u00a0\u5143\u7d20\u7684\u5bb9\u5668\u3002\u5176\u5b9e\u73b0\u662f\u7531\u8282\u70b9\u7ec4\u6210\u7684\u7ea2\u9ed1\u6811\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u5305\u542b\u7740\u4e00\u4e2a\u5143\u7d20\uff0c\u8282\u70b9\u4e4b\u95f4\u4ee5\u67d0\u79cd\u6bd4\u8f83\u5143\u7d20\u5927\u5c0f\u7684\u8c13\u8bcd\u8fdb\u884c\u6392\u5217\u3002</li> <li>\u591a\u91cd\u96c6\u5408(<code>multiset</code>) \u7528\u4ee5\u6709\u5e8f\u5730\u5b58\u50a8\u5143\u7d20\u7684\u5bb9\u5668\u3002\u5141\u8bb8\u5b58\u5728\u76f8\u7b49\u7684\u5143\u7d20\u3002</li> <li>\u6620\u5c04(<code>map</code>) \u7531 {\u952e\uff0c\u503c} \u5bf9\u7ec4\u6210\u7684\u96c6\u5408\uff0c\u4ee5\u67d0\u79cd\u6bd4\u8f83\u952e\u5927\u5c0f\u5173\u7cfb\u7684\u8c13\u8bcd\u8fdb\u884c\u6392\u5217\u3002</li> <li>\u591a\u91cd\u6620\u5c04(<code>multimap</code>) \u7531 {\u952e\uff0c\u503c} \u5bf9\u7ec4\u6210\u7684\u591a\u91cd\u96c6\u5408\uff0c\u4ea6\u5373\u5141\u8bb8\u952e\u6709\u76f8\u7b49\u60c5\u51b5\u7684\u6620\u5c04\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#213","title":"2.1.3 \u65e0\u5e8f\uff08\u5173\u8054\u5f0f\uff09\u5bb9\u5668","text":"<ul> <li>\u65e0\u5e8f\uff08\u591a\u91cd\uff09\u96c6\u5408(<code>unordered_set</code>/<code>unordered_multiset</code>)C++11\uff0c\u4e0e\u00a0<code>set</code>/<code>multiset</code>\u00a0\u7684\u533a\u522b\u5728\u4e8e\u5143\u7d20\u65e0\u5e8f\uff0c\u53ea\u5173\u5fc3\u300c\u5143\u7d20\u662f\u5426\u5b58\u5728\u300d\uff0c\u4f7f\u7528\u54c8\u5e0c\u5b9e\u73b0\u3002</li> <li>\u65e0\u5e8f\uff08\u591a\u91cd\uff09\u6620\u5c04(<code>unordered_map</code>/<code>unordered_multimap</code>)C++11\uff0c\u4e0e\u00a0<code>map</code>/<code>multimap</code>\u00a0\u7684\u533a\u522b\u5728\u4e8e\u952e (key) \u65e0\u5e8f\uff0c\u53ea\u5173\u5fc3 \"\u952e\u4e0e\u503c\u7684\u5bf9\u5e94\u5173\u7cfb\"\uff0c\u4f7f\u7528\u54c8\u5e0c\u5b9e\u73b0\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#214","title":"2.1.4 \u5bb9\u5668\u9002\u914d\u5668","text":"<p>\u5bb9\u5668\u9002\u914d\u5668\u5176\u5b9e\u5e76\u4e0d\u662f\u5bb9\u5668\u3002\u5b83\u4eec\u4e0d\u5177\u6709\u5bb9\u5668\u7684\u67d0\u4e9b\u7279\u70b9\uff08\u5982\uff1a\u6709\u8fed\u4ee3\u5668\u3001\u6709\u00a0<code>clear()</code>\u00a0\u51fd\u6570\u2026\u2026\uff09\u3002</p> <p>\u300c\u9002\u914d\u5668\u662f\u4f7f\u4e00\u79cd\u4e8b\u7269\u7684\u884c\u4e3a\u7c7b\u4f3c\u4e8e\u53e6\u5916\u4e00\u79cd\u4e8b\u7269\u884c\u4e3a\u7684\u4e00\u79cd\u673a\u5236\u300d\uff0c\u9002\u914d\u5668\u5bf9\u5bb9\u5668\u8fdb\u884c\u5305\u88c5\uff0c\u4f7f\u5176\u8868\u73b0\u51fa\u53e6\u5916\u4e00\u79cd\u884c\u4e3a\u3002</p> <ul> <li>\u6808(<code>stack</code>) \u540e\u8fdb\u5148\u51fa (LIFO) \u7684\u5bb9\u5668\uff0c\u9ed8\u8ba4\u662f\u5bf9\u53cc\u7aef\u961f\u5217\uff08<code>deque</code>\uff09\u7684\u5305\u88c5\u3002</li> <li>\u961f\u5217(<code>queue</code>) \u5148\u8fdb\u5148\u51fa (FIFO) \u7684\u5bb9\u5668\uff0c\u9ed8\u8ba4\u662f\u5bf9\u53cc\u7aef\u961f\u5217\uff08<code>deque</code>\uff09\u7684\u5305\u88c5\u3002</li> <li>\u4f18\u5148\u961f\u5217(<code>priority_queue</code>) \u5143\u7d20\u7684\u6b21\u5e8f\u662f\u7531\u4f5c\u7528\u4e8e\u6240\u5b58\u50a8\u7684\u503c\u5bf9\u4e0a\u7684\u67d0\u79cd\u8c13\u8bcd\u51b3\u5b9a\u7684\u7684\u4e00\u79cd\u961f\u5217\uff0c\u9ed8\u8ba4\u662f\u5bf9\u5411\u91cf\uff08<code>vector</code>\uff09\u7684\u5305\u88c5\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#215","title":"2.1.5 \u5171\u540c\u70b9","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2151","title":"2.1.5.1 \u5bb9\u5668\u58f0\u660e","text":"<ul> <li>\u90fd\u662f\u00a0<code>containerName&lt;typeName,...&gt; name</code>\u00a0\u7684\u5f62\u5f0f\uff0c\u4f46\u6a21\u677f\u53c2\u6570\uff08<code>&lt;&gt;</code>\u00a0\u5185\u7684\u53c2\u6570\uff09\u7684\u4e2a\u6570\u3001\u5f62\u5f0f\u4f1a\u6839\u636e\u5177\u4f53\u5bb9\u5668\u800c\u53d8\u3002</li> <li>\u672c\u8d28\u539f\u56e0\uff1aSTL \u5c31\u662f\u300c\u6807\u51c6\u6a21\u677f\u5e93\u300d\uff0c\u6240\u4ee5\u5bb9\u5668\u90fd\u662f\u6a21\u677f\u7c7b\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2152","title":"2.1.5.2 \u8fed\u4ee3\u5668","text":"C++<pre><code>vector&lt;int&gt; data(10);\n\nfor (int i = 0; i &lt; data.size(); i++)\n    cout &lt;&lt; data[i] &lt;&lt; endl;\n\nfor (vector&lt;int&gt;::iterator iter = data.begin(); iter != data.end(); iter++)\n    cout &lt;&lt; *iter &lt;&lt; endl;\n//C++11 \u4ee5\u540e\u53ef\u4ee5\u7528 auto iter = data.begin() \u6765\u7b80\u5316\n</code></pre> <ul> <li>\u5206\u7c7b<ul> <li>InputIterator\uff08\u8f93\u5165\u8fed\u4ee3\u5668\uff09\uff1a\u53ea\u8981\u6c42\u652f\u6301\u62f7\u8d1d\u3001\u81ea\u589e\u548c\u89e3\u5f15\u8bbf\u95ee\u3002</li> <li>OutputIterator\uff08\u8f93\u51fa\u8fed\u4ee3\u5668\uff09\uff1a\u53ea\u8981\u6c42\u652f\u6301\u62f7\u8d1d\u3001\u81ea\u589e\u548c\u89e3\u5f15\u8d4b\u503c\u3002</li> <li>ForwardIterator\uff08\u5411\u524d\u8fed\u4ee3\u5668\uff09\uff1a\u540c\u65f6\u6ee1\u8db3 InputIterator \u548c OutputIterator \u7684\u8981\u6c42\u3002</li> <li>BidirectionalIterator\uff08\u53cc\u5411\u8fed\u4ee3\u5668\uff09\uff1a\u5728 ForwardIterator \u7684\u57fa\u7840\u4e0a\u652f\u6301\u81ea\u51cf\uff08\u5373\u53cd\u5411\u8bbf\u95ee\uff09\u3002</li> <li>RandomAccessIterator\uff08\u968f\u673a\u8bbf\u95ee\u8fed\u4ee3\u5668\uff09\uff1a\u5728 BidirectionalIterator \u7684\u57fa\u7840\u4e0a\u652f\u6301\u52a0\u51cf\u8fd0\u7b97\u548c\u6bd4\u8f83\u8fd0\u7b97\uff08\u5373\u968f\u673a\u8bbf\u95ee\uff09\u3002</li> <li>ContiguousIterator\uff08\u8fde\u7eed\u8fed\u4ee3\u5668\uff09\uff1a\u5728 RandomAccessIterator \u7684\u57fa\u7840\u4e0a\u8981\u6c42\u5bf9\u53ef\u89e3\u5f15\u7528\u7684\u8fed\u4ee3\u5668\u00a0<code>a + n</code>\u00a0\u6ee1\u8db3\u00a0<code>*(a + n)</code>\u00a0\u4e0e\u00a0<code>*(std::address_of(*a) + n)</code>\u00a0\u7b49\u4ef7\uff08\u5373\u8fde\u7eed\u5b58\u50a8\uff0c\u5176\u4e2d\u00a0<code>a</code>\u00a0\u4e3a\u8fde\u7eed\u8fed\u4ee3\u5668\u3001<code>n</code>\u00a0\u4e3a\u6574\u578b\u503c\uff09\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#2153","title":"2.1.5.3 \u5171\u6709\u51fd\u6570","text":"<ul> <li><code>=</code>\uff1a\u6709\u8d4b\u503c\u8fd0\u7b97\u7b26\u4ee5\u53ca\u590d\u5236\u6784\u9020\u51fd\u6570\u3002</li> <li><code>begin()</code>\uff1a\u8fd4\u56de\u6307\u5411\u5f00\u5934\u5143\u7d20\u7684\u8fed\u4ee3\u5668\u3002</li> <li><code>end()</code>\uff1a\u8fd4\u56de\u6307\u5411\u672b\u5c3e\u7684\u4e0b\u4e00\u4e2a\u5143\u7d20\u7684\u8fed\u4ee3\u5668\u3002<code>end()</code>\u00a0\u4e0d\u6307\u5411\u67d0\u4e2a\u5143\u7d20\uff0c\u4f46\u5b83\u662f\u672b\u5c3e\u5143\u7d20\u7684\u540e\u7ee7\u3002</li> <li><code>size()</code>\uff1a\u8fd4\u56de\u5bb9\u5668\u5185\u7684\u5143\u7d20\u4e2a\u6570\u3002</li> <li><code>max_size()</code>\uff1a\u8fd4\u56de\u5bb9\u5668\u00a0\u7406\u8bba\u4e0a\u00a0\u80fd\u5b58\u50a8\u7684\u6700\u5927\u5143\u7d20\u4e2a\u6570\u3002\u4f9d\u5bb9\u5668\u7c7b\u578b\u548c\u6240\u5b58\u50a8\u53d8\u91cf\u7684\u7c7b\u578b\u800c\u53d8\u3002</li> <li><code>empty()</code>\uff1a\u8fd4\u56de\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a\u3002</li> <li><code>swap()</code>\uff1a\u4ea4\u6362\u4e24\u4e2a\u5bb9\u5668\u3002</li> <li><code>clear()</code>\uff1a\u6e05\u7a7a\u5bb9\u5668\u3002</li> <li><code>==</code>/<code>!=</code>/<code>&lt;</code>/<code>&gt;</code>/<code>&lt;=</code>/<code>&gt;=</code>\uff1a\u6309\u00a0\u5b57\u5178\u5e8f\u00a0\u6bd4\u8f83\u4e24\u4e2a\u5bb9\u5668\u7684\u5927\u5c0f\u3002\uff08\u6bd4\u8f83\u5143\u7d20\u5927\u5c0f\u65f6\u00a0<code>map</code>\u00a0\u7684\u6bcf\u4e2a\u5143\u7d20\u76f8\u5f53\u4e8e\u00a0<code>set&lt;pair&lt;key, value&gt; &gt;</code>\uff0c\u65e0\u5e8f\u5bb9\u5668\u4e0d\u652f\u6301\u00a0<code>&lt;</code>/<code>&gt;</code>/<code>&lt;=</code>/<code>&gt;=</code>\u3002\uff09</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#216-stl","title":"2.1.6 STL \u7b97\u6cd5","text":"<ul> <li><code>find</code>\uff1a\u987a\u5e8f\u67e5\u627e\u3002<code>find(v.begin(), v.end(), value)</code>\uff0c\u5176\u4e2d\u00a0<code>value</code>\u00a0\u4e3a\u9700\u8981\u67e5\u627e\u7684\u503c\u3002</li> <li><code>reverse</code>\uff1a\u7ffb\u8f6c\u6570\u7ec4\u3001\u5b57\u7b26\u4e32\u3002<code>reverse(v.begin(), v.end())</code>\u00a0\u6216\u00a0<code>reverse(a + begin, a + end)</code>\u3002</li> <li><code>unique</code>\uff1a\u53bb\u9664\u5bb9\u5668\u4e2d\u76f8\u90bb\u7684\u91cd\u590d\u5143\u7d20\u3002<code>unique(ForwardIterator first, ForwardIterator last)</code>\uff0c\u8fd4\u56de\u503c\u4e3a\u6307\u5411\u00a0\u53bb\u91cd\u540e\u00a0\u5bb9\u5668\u7ed3\u5c3e\u7684\u8fed\u4ee3\u5668\uff0c\u539f\u5bb9\u5668\u5927\u5c0f\u4e0d\u53d8\u3002\u4e0e\u00a0<code>sort</code>\u00a0\u7ed3\u5408\u4f7f\u7528\u53ef\u4ee5\u5b9e\u73b0\u5b8c\u6574\u5bb9\u5668\u53bb\u91cd\u3002</li> <li><code>sort</code>\uff1a\u6392\u5e8f\u3002<code>sort(v.begin(), v.end(), cmp)</code>\u00a0\u6216\u00a0<code>sort(a + begin, a + end, cmp)</code>\uff0c\u5176\u4e2d\u00a0<code>end</code>\u00a0\u662f\u6392\u5e8f\u7684\u6570\u7ec4\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u7684\u540e\u4e00\u4f4d\uff0c<code>cmp</code>\u00a0\u4e3a\u81ea\u5b9a\u4e49\u7684\u6bd4\u8f83\u51fd\u6570\u3002</li> <li><code>stable_sort</code>\uff1a\u7a33\u5b9a\u6392\u5e8f\uff0c\u7528\u6cd5\u540c\u00a0<code>sort()</code>\u3002</li> <li><code>nth_element</code> \uff1a\u6309\u6307\u5b9a\u8303\u56f4\u8fdb\u884c\u5206\u7c7b\uff0c\u5373\u627e\u51fa\u5e8f\u5217\u4e2d\u7b2c \\(\\displaystyle n\\) \u5927\u7684\u5143\u7d20\uff0c\u4f7f\u5176\u5de6\u8fb9\u5747\u4e3a\u5c0f\u4e8e\u5b83\u7684\u6570\uff0c\u53f3\u8fb9\u5747\u4e3a\u5927\u4e8e\u5b83\u7684\u6570\u3002 <code>nth_element(v.begin(), v.begin() + mid, v.end(), cmp)</code>\u00a0\u6216\u00a0<code>nth_element(a + begin, a + begin + mid, a + end, cmp)</code> \u3002</li> <li><code>binary_search</code>\uff1a\u4e8c\u5206\u67e5\u627e\u3002<code>binary_search(v.begin(), v.end(), value)</code>\uff0c\u5176\u4e2d\u00a0<code>value</code>\u00a0\u4e3a\u9700\u8981\u67e5\u627e\u7684\u503c\u3002</li> <li><code>merge</code>\uff1a\u5c06\u4e24\u4e2a\uff08\u5df2\u6392\u5e8f\u7684\uff09\u5e8f\u5217\u00a0\u6709\u5e8f\u5408\u5e76\u00a0\u5230\u7b2c\u4e09\u4e2a\u5e8f\u5217\u7684\u00a0\u63d2\u5165\u8fed\u4ee3\u5668\u00a0\u4e0a\u3002<code>merge(v1.begin(), v1.end(), v2.begin(), v2.end() ,back_inserter(v3))</code>\u3002</li> <li><code>inplace_merge</code>\uff1a\u5c06\u4e24\u4e2a\uff08\u5df2\u6309\u5c0f\u4e8e\u8fd0\u7b97\u7b26\u6392\u5e8f\u7684\uff09\uff1a<code>[first,middle), [middle,last)</code>\u00a0\u8303\u56f4\u00a0\u539f\u5730\u5408\u5e76\u4e3a\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002<code>inplace_merge(v.begin(), v.begin() + middle, v.end())</code>\u3002</li> <li><code>lower_bound</code>\uff1a\u5728\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u4e2d\u8fdb\u884c\u4e8c\u5206\u67e5\u627e\uff0c\u8fd4\u56de\u6307\u5411\u7b2c\u4e00\u4e2a\u00a0\u5927\u4e8e\u7b49\u4e8e \u00a0\u7684\u5143\u7d20\u7684\u4f4d\u7f6e\u7684\u8fed\u4ee3\u5668\u3002\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u5143\u7d20\uff0c\u5219\u8fd4\u56de\u5c3e\u8fed\u4ee3\u5668\u3002<code>lower_bound(v.begin(),v.end(),x)</code>\u3002</li> <li><code>upper_bound</code>\uff1a\u5728\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u4e2d\u8fdb\u884c\u4e8c\u5206\u67e5\u627e\uff0c\u8fd4\u56de\u6307\u5411\u7b2c\u4e00\u4e2a\u00a0\u5927\u4e8e \u00a0\u7684\u5143\u7d20\u7684\u4f4d\u7f6e\u7684\u8fed\u4ee3\u5668\u3002\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u5143\u7d20\uff0c\u5219\u8fd4\u56de\u5c3e\u8fed\u4ee3\u5668\u3002<code>upper_bound(v.begin(),v.end(),x)</code>\u3002</li> <li><code>next_permutation</code>\uff1a\u5c06\u5f53\u524d\u6392\u5217\u66f4\u6539\u4e3a\u00a0\u5168\u6392\u5217\u4e2d\u7684\u4e0b\u4e00\u4e2a\u6392\u5217\u3002\u5982\u679c\u5f53\u524d\u6392\u5217\u5df2\u7ecf\u662f\u00a0\u5168\u6392\u5217\u4e2d\u7684\u6700\u540e\u4e00\u4e2a\u6392\u5217\uff08\u5143\u7d20\u5b8c\u5168\u4ece\u5927\u5230\u5c0f\u6392\u5217\uff09\uff0c\u51fd\u6570\u8fd4\u56de\u00a0<code>false</code>\u00a0\u5e76\u5c06\u6392\u5217\u66f4\u6539\u4e3a\u00a0\u5168\u6392\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u6392\u5217\uff08\u5143\u7d20\u5b8c\u5168\u4ece\u5c0f\u5230\u5927\u6392\u5217\uff09\uff1b\u5426\u5219\uff0c\u51fd\u6570\u8fd4\u56de\u00a0<code>true</code>\u3002<code>next_permutation(v.begin(), v.end())</code>\u00a0\u6216\u00a0<code>next_permutation(v + begin, v + end)</code>\u3002</li> <li><code>prev_permutation</code>\uff1a\u5c06\u5f53\u524d\u6392\u5217\u66f4\u6539\u4e3a\u00a0\u5168\u6392\u5217\u4e2d\u7684\u4e0a\u4e00\u4e2a\u6392\u5217\u3002\u7528\u6cd5\u540c\u00a0<code>next_permutation</code>\u3002</li> <li><code>partial_sum</code>\uff1a\u6c42\u524d\u7f00\u548c\u3002\u8bbe\u6e90\u5bb9\u5668\u4e3a\u00a0\uff0c\u76ee\u6807\u5bb9\u5668\u4e3a\u00a0\uff0c\u5219\u4ee4\u00a0\u3002<code>partial_sum(src.begin(), src.end(), back_inserter(dst))</code>\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#22-bitset","title":"2.2 bitset","text":"<p>TODO bitset - OI Wiki</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#23-string","title":"2.3 string","text":"<ul> <li>\u91cd\u8f7d\u8fd0\u7b97\u7b26</li> <li>\u52a8\u6001\u5206\u914d\u7a7a\u95f4</li> </ul> C++<pre><code>std::string s;\nprintf(\"%s\", s.c_str());\nprintf(\"s \u7684\u957f\u5ea6\u4e3a %lu\", s.size()); \nprintf(\"s \u7684\u957f\u5ea6\u4e3a %lu\", s.length()); \nprintf(\"s \u7684\u957f\u5ea6\u4e3a %lu\", strlen(s.c_str()));\nsubstr(pos, len);\ninsert(index, count, ch);\ninsert(index, str);\nerase(index, count);\nreplace(pos, count, str);\nreplace(first, last, str);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#24-pair","title":"2.4 pair","text":"<ul> <li><code>pair</code> \u4e0d\u9700\u8981\u989d\u5916\u5b9a\u4e49\u7ed3\u6784\u4e0e\u91cd\u8f7d\u8fd0\u7b97\u7b26</li> </ul> C++<pre><code>pair&lt;int, double&gt; p0(1, 2.0);\npair&lt;int, double&gt; p2 = make_pair(1, 2.0);\nauto p3 = make_pair(1, 2.0);\n\nint i = p0.first; \ndouble d = p0.second;\np1.first++;\n\npriority_queue&lt;pair&lt;int, double&gt; &gt; q;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3","title":"3 \u8fdb\u9636","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#31","title":"3.1 \u7c7b","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#32","title":"3.2 \u52a8\u6001\u5185\u5b58","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#321-new-delete","title":"3.2.1 new \u548c delete \u8fd0\u7b97\u7b26","text":"<ul> <li>\u6808: \u58f0\u660e\u7684\u6240\u6709\u53d8\u91cf\u5c06\u5360\u7528\u6808\u5185\u5b58</li> <li>\u5806: \u672a\u4f7f\u7528\u7684\u5185\u5b58</li> </ul> C++<pre><code>new data-type;\n\ndouble* pvalue = NULL;\npvalue = new double;\n\nif (!(pvalue = new double)) {\n    cout &lt;&lt; \"Error: out of memory.\" &lt;&lt; endl;\n    exit(1);\n}\n\ndelete pvalue;\n</code></pre> <ul> <li>new \u4e0d\u4ec5\u5206\u914d\u7684\u5185\u5b58\u8fd8\u521b\u5efa\u4e86\u5bf9\u8c61</li> <li>malloc () \u53ea\u5206\u914d\u7684\u5185\u5b58</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#322","title":"3.2.2 \u6570\u7ec4\u7684\u52a8\u6001\u5185\u5b58\u5206\u914d","text":"C++<pre><code>int ***array;\n// \u5047\u5b9a\u6570\u7ec4\u7b2c\u4e00\u7ef4\u4e3a m\uff0c \u7b2c\u4e8c\u7ef4\u4e3a n\uff0c \u7b2c\u4e09\u7ef4\u4e3ah\n// \u52a8\u6001\u5206\u914d\u7a7a\u95f4\narray = new int **[m];\nfor( int i=0; i&lt;m; i++ )\n{\n    array[i] = new int *[n];\n    for( int j=0; j&lt;n; j++ )\n    {\n        array[i][j] = new int [h];\n    }\n}\n//\u91ca\u653e\nfor( int i=0; i&lt;m; i++ )\n{\n    for( int j=0; j&lt;n; j++ )\n    {\n        delete [] array[i][j];\n    }\n    delete [] array[i];\n}\ndelete [] array;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#323","title":"3.2.3 \u5bf9\u8c61\u7684\u52a8\u6001\u5185\u5b58\u5206\u914d","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\nclass Box\n{\n   public:\n      Box() { \n         cout &lt;&lt; \"\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\" &lt;&lt;endl; \n      }\n      ~Box() { \n         cout &lt;&lt; \"\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\" &lt;&lt;endl; \n      }\n};\n\nint main( )\n{\n   Box* myBoxArray = new Box[4]; // \u4e00\u4e2a\u5305\u542b 4 \u4e2a Box \u5bf9\u8c61\u7684\u6570\u7ec4\n\n   delete [] myBoxArray; // \u5220\u9664\u6570\u7ec4\n   return 0;\n}\n</code></pre> Text Only<pre><code>\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6784\u9020\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n\u8c03\u7528\u6790\u6784\u51fd\u6570\uff01\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#33","title":"3.3 \u547d\u540d\u7a7a\u95f4","text":"<ul> <li>\u7f16\u8bd1\u5668\u4e3a\u4e86\u533a\u522b\u540c\u540d\u51fd\u6570\u5f15\u5165\u4e86\u547d\u540d\u7a7a\u95f4</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#331","title":"3.3.1 \u5b9a\u4e49\u547d\u540d\u7a7a\u95f4","text":"C++<pre><code>namespace namespace_name {\n // code\n}\n\nnamespace_name::code;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#332-using","title":"3.3.2 using \u6307\u4ee4","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#333","title":"3.3.3 \u4e0d\u8fde\u7eed\u7684\u547d\u540d\u7a7a\u95f4","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#334","title":"3.3.4 \u5d4c\u5957\u7684\u547d\u540d\u7a7a\u95f4","text":"C++<pre><code>namespace namespace_name1 {\n   // \u4ee3\u7801\u58f0\u660e\n   namespace namespace_name2 {\n      // \u4ee3\u7801\u58f0\u660e\n   }\n}\n\n// \u8bbf\u95ee namespace_name2 \u4e2d\u7684\u6210\u5458\nusing namespace namespace_name1::namespace_name2;\n\n// \u8bbf\u95ee namespace_name1 \u4e2d\u7684\u6210\u5458\nusing namespace namespace_name1;\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#34","title":"3.4 \u6a21\u677f","text":"<ul> <li>\u6cdb\u578b\u7f16\u7a0b: \u72ec\u7acb\u4e8e\u4efb\u4f55\u7279\u5b9a\u7c7b\u578b\u7684\u65b9\u5f0f\u5199\u4ee3\u7801</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#341","title":"3.4.1 \u51fd\u6570\u6a21\u677f","text":"C++<pre><code>template &lt;typename type&gt; ret-type func-name(parameter list)\n{\n   // \u51fd\u6570\u7684\u4e3b\u4f53\n}\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;string&gt;\n\nusing namespace std;\n\ntemplate &lt;typename T&gt;\ninline T const&amp; Max (T const&amp; a, T const&amp; b) \n{ \n    return a &lt; b ? b:a; \n} \n\nint main ()\n{\n\n    int i = 39;\n    int j = 20;\n    cout &lt;&lt; \"Max(i, j): \" &lt;&lt; Max(i, j) &lt;&lt; endl; \n\n    double f1 = 13.5; \n    double f2 = 20.7; \n    cout &lt;&lt; \"Max(f1, f2): \" &lt;&lt; Max(f1, f2) &lt;&lt; endl; \n\n    string s1 = \"Hello\"; \n    string s2 = \"World\"; \n    cout &lt;&lt; \"Max(s1, s2): \" &lt;&lt; Max(s1, s2) &lt;&lt; endl; \n\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#342","title":"3.4.2 \u7c7b\u6a21\u677f","text":"C++<pre><code>template &lt;class type&gt; class class-name {\n// code\n}\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;vector&gt;\n#include &lt;cstdlib&gt;\n#include &lt;string&gt;\n#include &lt;stdexcept&gt;\n\nusing namespace std;\n\ntemplate &lt;class T&gt;\nclass Stack { \n  private: \n    vector&lt;T&gt; elems;     // \u5143\u7d20 \n\n  public: \n    void push(T const&amp;);  // \u5165\u6808\n    void pop();               // \u51fa\u6808\n    T top() const;            // \u8fd4\u56de\u6808\u9876\u5143\u7d20\n    bool empty() const{       // \u5982\u679c\u4e3a\u7a7a\u5219\u8fd4\u56de\u771f\u3002\n        return elems.empty(); \n    } \n}; \n\ntemplate &lt;class T&gt;\nvoid Stack&lt;T&gt;::push (T const&amp; elem) \n{ \n    // \u8ffd\u52a0\u4f20\u5165\u5143\u7d20\u7684\u526f\u672c\n    elems.push_back(elem);    \n} \n\ntemplate &lt;class T&gt;\nvoid Stack&lt;T&gt;::pop () \n{ \n    if (elems.empty()) { \n        throw out_of_range(\"Stack&lt;&gt;::pop(): empty stack\"); \n    }\n    // \u5220\u9664\u6700\u540e\u4e00\u4e2a\u5143\u7d20\n    elems.pop_back();         \n} \n\ntemplate &lt;class T&gt;\nT Stack&lt;T&gt;::top () const \n{ \n    if (elems.empty()) { \n        throw out_of_range(\"Stack&lt;&gt;::top(): empty stack\"); \n    }\n    // \u8fd4\u56de\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u7684\u526f\u672c \n    return elems.back();      \n} \n\nint main() \n{ \n    try { \n        Stack&lt;int&gt;       intStack;    // int \u7c7b\u578b\u7684\u6808 \n        Stack&lt;string&gt; stringStack;    // string \u7c7b\u578b\u7684\u6808 \n\n        // \u64cd\u4f5c int \u7c7b\u578b\u7684\u6808 \n        intStack.push(7); \n        cout &lt;&lt; intStack.top() &lt;&lt;endl; \n\n        // \u64cd\u4f5c string \u7c7b\u578b\u7684\u6808 \n        stringStack.push(\"hello\"); \n        cout &lt;&lt; stringStack.top() &lt;&lt; std::endl; \n        stringStack.pop(); \n        stringStack.pop(); \n    } \n    catch (exception const&amp; ex) { \n        cerr &lt;&lt; \"Exception: \" &lt;&lt; ex.what() &lt;&lt;endl; \n        return -1;\n    } \n}\n</code></pre> Text Only<pre><code>7\nhello\nException: Stack&lt;&gt;::pop(): empty stack\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#35","title":"3.5 \u9884\u5904\u7406\u5668","text":"<ul> <li>\u4e0d\u662f C++\u8bed\u53e5\uff0c\u4e0d\u4f1a\u4ee5\u5206\u53f7\u7ed3\u5c3e</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#351-define","title":"3.5.1 #define \u9884\u5904\u7406","text":"C++<pre><code>#define macro-name replacement-text \n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#352","title":"3.5.2 \u53c2\u6570\u5b8f","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#define MIN(a,b) (a&lt;b ? a : b)\n\nint main ()\n{\n   int i, j;\n   i = 100;\n   j = 30;\n   cout &lt;&lt;\"\u8f83\u5c0f\u7684\u503c\u4e3a\uff1a\" &lt;&lt; MIN(i, j) &lt;&lt; endl;\n\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#353","title":"3.5.3 \u6761\u4ef6\u7f16\u8bd1","text":"C++<pre><code>#ifdef NULL\n   #define NULL 0\n#endif\n\n#ifdef DEBUG\n   cerr &lt;&lt;\"Variable x = \" &lt;&lt; x &lt;&lt; endl;\n#endif\n\n#if 0\n   \u4e0d\u8fdb\u884c\u7f16\u8bd1\u7684\u4ee3\u7801\n#endif\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#354","title":"3.5.4 # \u548c ## \u8fd0\u7b97\u7b26","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#define MKSTR( x ) #x\n\nint main ()\n{\n    cout &lt;&lt; MKSTR(HELLO C++) &lt;&lt; endl;\n\n    return 0;\n}\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#define concat(a, b) a ## b\nint main()\n{\n   int xy = 100;\n\n   cout &lt;&lt; concat(x, y);\n   return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#355","title":"3.5.5 \u9884\u5b9a\u4e49\u5b8f","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#36","title":"3.6 \u4fe1\u53f7\u5904\u7406","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#361-signal","title":"3.6.1 signal () \u51fd\u6570","text":"C++<pre><code>void (*signal (int sig, void (*func)(int)))(int); \n\nsignal(registered signal, signal handler)\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;csignal&gt;\n#include &lt;unistd.h&gt;\n\nusing namespace std;\n\nvoid signalHandler( int signum )\n{\n    cout &lt;&lt; \"Interrupt signal (\" &lt;&lt; signum &lt;&lt; \") received.\\n\";\n\n    // \u6e05\u7406\u5e76\u5173\u95ed\n    // \u7ec8\u6b62\u7a0b\u5e8f  \n\n   exit(signum);  \n\n}\n\nint main ()\n{\n    // \u6ce8\u518c\u4fe1\u53f7 SIGINT \u548c\u4fe1\u53f7\u5904\u7406\u7a0b\u5e8f\n    signal(SIGINT, signalHandler);  \n\n    while(1){\n       cout &lt;&lt; \"Going to sleep....\" &lt;&lt; endl;\n       sleep(1);\n    }\n\n    return 0;\n}\n</code></pre> <p>\u6309 Ctrl + C \u4e2d\u65ad\u7a0b\u5e8f:</p> Text Only<pre><code>Going to sleep....\nGoing to sleep....\nGoing to sleep....\nInterrupt signal (2) received.\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#362-raise","title":"3.6.2 raise () \u51fd\u6570","text":"C++<pre><code>int raise (signal sig);\n</code></pre> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;csignal&gt;\n#include &lt;unistd.h&gt;\n\nusing namespace std;\n\nvoid signalHandler( int signum )\n{\n    cout &lt;&lt; \"Interrupt signal (\" &lt;&lt; signum &lt;&lt; \") received.\\n\";\n\n    // \u6e05\u7406\u5e76\u5173\u95ed\n    // \u7ec8\u6b62\u7a0b\u5e8f \n\n   exit(signum);  \n\n}\n\nint main ()\n{\n    int i = 0;\n    // \u6ce8\u518c\u4fe1\u53f7 SIGINT \u548c\u4fe1\u53f7\u5904\u7406\u7a0b\u5e8f\n    signal(SIGINT, signalHandler);  \n\n    while(++i){\n       cout &lt;&lt; \"Going to sleep....\" &lt;&lt; endl;\n       if( i == 3 ){\n          raise(SIGINT);\n       }\n       sleep(1);\n    }\n\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#37","title":"3.7 \u591a\u7ebf\u7a0b","text":"<ul> <li>\u4e24\u79cd\u7c7b\u578b\u7684\u591a\u4efb\u52a1\u5904\u7406<ul> <li>\u57fa\u4e8e\u8fdb\u7a0b\u662f\u7a0b\u5e8f\u7684\u5e76\u53d1\u6267\u884c</li> <li>\u57fa\u4e8e\u7ebf\u7a0b\u662f\u540c\u4e00\u7a0b\u5e8f\u7684\u7247\u6bb5\u7684\u5e76\u53d1\u6267\u884c</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#371","title":"3.7.1 \u6982\u5ff5\u8bf4\u660e","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3711-thread","title":"3.7.1.1 \u7ebf\u7a0b\uff08Thread\uff09","text":"<ul> <li>\u7ebf\u7a0b\u662f\u7a0b\u5e8f\u6267\u884c\u4e2d\u7684\u5355\u4e00\u987a\u5e8f\u63a7\u5236\u6d41\uff0c\u591a\u4e2a\u7ebf\u7a0b\u53ef\u4ee5\u5728\u540c\u4e00\u4e2a\u8fdb\u7a0b\u4e2d\u72ec\u7acb\u8fd0\u884c\u3002</li> <li>\u7ebf\u7a0b\u5171\u4eab\u8fdb\u7a0b\u7684\u5730\u5740\u7a7a\u95f4\u3001\u6587\u4ef6\u63cf\u8ff0\u7b26\u3001\u5806\u548c\u5168\u5c40\u53d8\u91cf\u7b49\u8d44\u6e90\uff0c\u4f46\u6bcf\u4e2a\u7ebf\u7a0b\u6709\u81ea\u5df1\u7684\u6808\u3001\u5bc4\u5b58\u5668\u548c\u7a0b\u5e8f\u8ba1\u6570\u5668\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3712-concurrency-parallelism","title":"3.7.1.2 \u5e76\u53d1\uff08Concurrency\uff09\u4e0e\u5e76\u884c \uff08Parallelism\uff09","text":"<ul> <li>\u5e76\u53d1\uff1a\u591a\u4e2a\u4efb\u52a1\u5728\u65f6\u95f4\u7247\u6bb5\u5185\u4ea4\u66ff\u6267\u884c\uff0c\u8868\u73b0\u51fa\u540c\u65f6\u8fdb\u884c\u7684\u6548\u679c\u3002</li> <li>\u5e76\u884c\uff1a\u591a\u4e2a\u4efb\u52a1\u5728\u591a\u4e2a\u5904\u7406\u5668\u6216\u5904\u7406\u5668\u6838\u4e0a\u540c\u65f6\u6267\u884c\u3002 C++11 \u4ee5\u540e\u6709\u591a\u7ebf\u7a0b\u652f\u6301:</li> <li>std::thread\uff1a\u7528\u4e8e\u521b\u5efa\u548c\u7ba1\u7406\u7ebf\u7a0b\u3002</li> <li>std::mutex\uff1a\u7528\u4e8e\u7ebf\u7a0b\u4e4b\u95f4\u7684\u4e92\u65a5\uff0c\u9632\u6b62\u591a\u4e2a\u7ebf\u7a0b\u540c\u65f6\u8bbf\u95ee\u5171\u4eab\u8d44\u6e90\u3002</li> <li>std::lock_guard\u00a0\u548c\u00a0std::unique_lock\uff1a\u7528\u4e8e\u7ba1\u7406\u9501\u7684\u83b7\u53d6\u548c\u91ca\u653e\u3002</li> <li>std::condition_variable\uff1a\u7528\u4e8e\u7ebf\u7a0b\u95f4\u7684\u6761\u4ef6\u53d8\u91cf\uff0c\u534f\u8c03\u7ebf\u7a0b\u95f4\u7684\u7b49\u5f85\u548c\u901a\u77e5\u3002</li> <li>std::future\u00a0\u548c\u00a0std::promise\uff1a\u7528\u4e8e\u5b9e\u73b0\u7ebf\u7a0b\u95f4\u7684\u503c\u4f20\u9012\u548c\u4efb\u52a1\u540c\u6b65\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#372","title":"3.7.2 \u521b\u5efa\u7ebf\u7a0b","text":"C++<pre><code>#include&lt;thread&gt;\nstd::thread thread_object(callable, args...);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3721","title":"3.7.2.1 \u4f7f\u7528\u51fd\u6570\u6307\u9488","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nvoid printMessage(int count) {\n    for (int i = 0; i &lt; count; ++i) {\n        std::cout &lt;&lt; \"Hello from thread (function pointer)!\\n\";\n    }\n}\n\nint main() {\n    std::thread t1(printMessage, 5); // \u521b\u5efa\u7ebf\u7a0b\uff0c\u4f20\u9012\u51fd\u6570\u6307\u9488\u548c\u53c2\u6570\n    t1.join(); // \u7b49\u5f85\u7ebf\u7a0b\u5b8c\u6210\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3722","title":"3.7.2.2 \u4f7f\u7528\u51fd\u6570\u5bf9\u8c61","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nclass PrintTask {\npublic:\n    void operator()(int count) const {\n        for (int i = 0; i &lt; count; ++i) {\n            std::cout &lt;&lt; \"Hello from thread (function object)!\\n\";\n        }\n    }\n};\n\nint main() {\n    std::thread t2(PrintTask(), 5); // \u521b\u5efa\u7ebf\u7a0b\uff0c\u4f20\u9012\u51fd\u6570\u5bf9\u8c61\u548c\u53c2\u6570\n    t2.join(); // \u7b49\u5f85\u7ebf\u7a0b\u5b8c\u6210\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3723-lambda","title":"3.7.2.3 \u4f7f\u7528 Lambda \u8868\u8fbe\u5f0f","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nint main() {\n    std::thread t3([](int count) {\n        for (int i = 0; i &lt; count; ++i) {\n            std::cout &lt;&lt; \"Hello from thread (lambda)!\\n\";\n        }\n    }, 5); // \u521b\u5efa\u7ebf\u7a0b\uff0c\u4f20\u9012 Lambda \u8868\u8fbe\u5f0f\u548c\u53c2\u6570\n    t3.join(); // \u7b49\u5f85\u7ebf\u7a0b\u5b8c\u6210\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3724","title":"3.7.2.4 \u7ebf\u7a0b\u7ba1\u7406","text":"C++<pre><code>t.join();\nt.detach();\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3725","title":"3.7.2.5 \u7ebf\u7a0b\u7684\u4f20\u53c2","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3726","title":"3.7.2.6 \u503c\u4f20\u9012","text":"C++<pre><code>std::thread t(funx, arg1, arg2);\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3727","title":"3.7.2.7 \u5f15\u7528\u4f20\u9012","text":"C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nvoid increment(int&amp; x) {\n    ++x;\n}\n\nint main() {\n    int num = 0;\n    std::thread t(increment, std::ref(num)); // \u4f7f\u7528 std::ref \u4f20\u9012\u5f15\u7528\n    t.join();\n    std::cout &lt;&lt; \"Value after increment: \" &lt;&lt; num &lt;&lt; std::endl;\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#373","title":"3.7.3 \u7ebf\u7a0b\u540c\u6b65\u4e0e\u4e92\u65a5","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3731-mutex","title":"3.7.3.1 \u4e92\u65a5\u91cf\uff08Mutex\uff09","text":"C++<pre><code>std::mutex mtx;\nmtx.lock();   // \u9501\u5b9a\u4e92\u65a5\u9501\n// \u8bbf\u95ee\u5171\u4eab\u8d44\u6e90\nmtx.unlock();// \u91ca\u653e\u4e92\u65a5\u9501\n\nstd::lock_guard&lt;std::mutex&gt; lock(mtx); // \u81ea\u52a8\u9501\u5b9a\u548c\u89e3\u9501\n// \u8bbf\u95ee\u5171\u4eab\u8d44\u6e90\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3732-locks","title":"3.7.3.2 \u9501\uff08Locks\uff09","text":"<ul> <li><code>std::lock_guard</code> \uff1a\u4f5c\u7528\u57df\u9501\uff0c\u5f53\u6784\u9020\u65f6\u81ea\u52a8\u9501\u5b9a\u4e92\u65a5\u91cf\uff0c\u5f53\u6790\u6784\u65f6\u81ea\u52a8\u89e3\u9501\u3002</li> <li><code>std::unique_lock</code> \uff1a\u4e0e <code>std::lock_guard</code> \u7c7b\u4f3c\uff0c\u4f46\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u7075\u6d3b\u6027\uff0c\u4f8b\u5982\u53ef\u4ee5\u8f6c\u79fb\u6240\u6709\u6743\u548c\u624b\u52a8\u89e3\u9501\u3002</li> </ul> C++<pre><code>#include &lt;mutex&gt;\n\nstd::mutex mtx;\n\nvoid safeFunctionWithLockGuard() {\n    std::lock_guard&lt;std::mutex&gt; lk(mtx);\n    // \u8bbf\u95ee\u6216\u4fee\u6539\u5171\u4eab\u8d44\u6e90\n}\n\nvoid safeFunctionWithUniqueLock() {\n    std::unique_lock&lt;std::mutex&gt; ul(mtx);\n    // \u8bbf\u95ee\u6216\u4fee\u6539\u5171\u4eab\u8d44\u6e90\n    // ul.unlock(); // \u53ef\u9009\uff1a\u624b\u52a8\u89e3\u9501\n    // ...\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3733-condition-variable","title":"3.7.3.3 \u6761\u4ef6\u53d8\u91cf\uff08Condition Variable\uff09","text":"C++<pre><code>std::condition_variable cv;\nstd::mutex mtx;\nbool ready = false;\n\nstd::unique_lock&lt;std::mutex&gt; lock(mtx);\ncv.wait(lock, []{ return ready; }); // \u7b49\u5f85\u6761\u4ef6\u6ee1\u8db3\n// \u6761\u4ef6\u6ee1\u8db3\u540e\u6267\u884c\n</code></pre> C++<pre><code>#include &lt;mutex&gt;\n#include &lt;condition_variable&gt;\n\nstd::mutex mtx;\nstd::condition_variable cv;\nbool ready = false;\n\nvoid workerThread() {\n    std::unique_lock&lt;std::mutex&gt; lk(mtx);\n    cv.wait(lk, []{ return ready; }); // \u7b49\u5f85\u6761\u4ef6\n    // \u5f53\u6761\u4ef6\u6ee1\u8db3\u65f6\u6267\u884c\u5de5\u4f5c\n}\n\nvoid mainThread() {\n    {\n        std::lock_guard&lt;std::mutex&gt; lk(mtx);\n        // \u51c6\u5907\u6570\u636e\n        ready = true;\n    } // \u79bb\u5f00\u4f5c\u7528\u57df\u65f6\u89e3\u9501\n    cv.notify_one(); // \u901a\u77e5\u4e00\u4e2a\u7b49\u5f85\u7684\u7ebf\u7a0b\n}\n</code></pre> <p>TODO</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3734-atomic-operations","title":"3.7.3.4 \u539f\u5b50\u64cd\u4f5c\uff08Atomic Operations\uff09","text":"<ul> <li>\u5bf9\u5171\u4eab\u6570\u636e\u7684\u8bbf\u95ee\u4e0d\u53ef\u5206\u5272</li> </ul> C++<pre><code>#include &lt;atomic&gt;\n#include &lt;thread&gt;\n\nstd::atomic&lt;int&gt; count(0);\n\nvoid increment() {\n    count.fetch_add(1, std::memory_order_relaxed);\n}\n\nint main() {\n    std::thread t1(increment);\n    std::thread t2(increment);\n    t1.join();\n    t2.join();\n    return count; // \u5e94\u8fd4\u56de2\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3735-thread-local-storagetls","title":"3.7.3.5 \u7ebf\u7a0b\u5c40\u90e8\u5b58\u50a8\uff08Thread Local Storage\uff0cTLS\uff09","text":"<ul> <li>\u5141\u8bb8\u6bcf\u4e2a\u7ebf\u7a0b\u6709\u81ea\u5df1\u7684\u6570\u636e\u526f\u672c</li> </ul> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;thread&gt;\n\nthread_local int threadData = 0;\n\nvoid threadFunction() {\n    threadData = 42; // \u6bcf\u4e2a\u7ebf\u7a0b\u90fd\u6709\u81ea\u5df1\u7684threadData\u526f\u672c\n    std::cout &lt;&lt; \"Thread data: \" &lt;&lt; threadData &lt;&lt; std::endl;\n}\n\nint main() {\n    std::thread t1(threadFunction);\n    std::thread t2(threadFunction);\n    t1.join();\n    t2.join();\n    return 0;\n}\n</code></pre>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#3736-deadlock","title":"3.7.3.6 \u6b7b\u9501\uff08Deadlock\uff09\u548c\u907f\u514d\u7b56\u7565","text":"<ul> <li>\u6b7b\u9501\u5373\u591a\u4e2a\u7ebf\u7a0b\u4e92\u76f8\u7b49\u5f85\u5bf9\u65b9\u91ca\u653e\u8d44\u6e90<ul> <li>\u603b\u662f\u4ee5\u76f8\u540c\u7684\u987a\u5e8f\u8bf7\u6c42\u8d44\u6e90\u3002</li> <li>\u4f7f\u7528\u8d85\u65f6\u6765\u5c1d\u8bd5\u83b7\u53d6\u8d44\u6e90\u3002</li> <li>\u4f7f\u7528\u6b7b\u9501\u68c0\u6d4b\u7b97\u6cd5\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#374","title":"3.7.4 \u7ebf\u7a0b\u95f4\u901a\u4fe1","text":"C++<pre><code>std::promise&lt;int&gt; p;\nstd::future&lt;int&gt; f = p.get_future();\n\nstd::thread t([&amp;p] {\n    p.set_value(10); // \u8bbe\u7f6e\u503c\uff0c\u89e6\u53d1 future\n});\n\nint result = f.get(); // \u83b7\u53d6\u503c\n</code></pre> <p>C++17 \u5f15\u5165\u4e86\u5e76\u884c\u7b97\u6cd5\u5e93</p> C++<pre><code>#include &lt;algorithm&gt;\n#include &lt;vector&gt;\n#include &lt;execution&gt;\n\nstd::vector&lt;int&gt; vec = {1, 2, 3, 4, 5};\nstd::for_each(std::execution::par, vec.begin(), vec.end(), [](int &amp;n) {\n    n *= 2;\n});\n</code></pre> <p>TODO \u591a\u7ebf\u7a0b\u5b9e\u4f8b</p>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#38-web","title":"3.8 Web \u7f16\u7a0b","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#381-cgi","title":"3.8.1 \u4ec0\u4e48\u662f CGI\uff1f","text":"<ul> <li>\u516c\u5171\u7f51\u5173\u63a5\u53e3\uff08CGI\uff09\uff0c\u662f\u4e00\u5957\u6807\u51c6\uff0c\u5b9a\u4e49\u4e86\u4fe1\u606f\u662f\u5982\u4f55\u5728 Web \u670d\u52a1\u5668\u548c\u5ba2\u6237\u7aef\u811a\u672c\u4e4b\u95f4\u8fdb\u884c\u4ea4\u6362\u7684\u3002</li> <li>CGI \u89c4\u8303\u76ee\u524d\u662f\u7531 NCSA \u7ef4\u62a4\u7684\uff0cNCSA \u5b9a\u4e49 CGI \u5982\u4e0b\uff1a<ul> <li>\u516c\u5171\u7f51\u5173\u63a5\u53e3\uff08CGI\uff09\uff0c\u662f\u4e00\u79cd\u7528\u4e8e\u5916\u90e8\u7f51\u5173\u7a0b\u5e8f\u4e0e\u4fe1\u606f\u670d\u52a1\u5668\uff08\u5982 HTTP \u670d\u52a1\u5668\uff09\u5bf9\u63a5\u7684\u63a5\u53e3\u6807\u51c6\u3002</li> </ul> </li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#382-web","title":"3.8.2 Web \u6d4f\u89c8","text":"<ul> <li>\u60a8\u7684\u6d4f\u89c8\u5668\u8054\u7cfb\u4e0a HTTP Web \u670d\u52a1\u5668\uff0c\u5e76\u8bf7\u6c42 URL\uff0c\u5373\u6587\u4ef6\u540d\u3002</li> <li>Web \u670d\u52a1\u5668\u5c06\u89e3\u6790 URL\uff0c\u5e76\u67e5\u627e\u6587\u4ef6\u540d\u3002\u5982\u679c\u627e\u5230\u8bf7\u6c42\u7684\u6587\u4ef6\uff0cWeb \u670d\u52a1\u5668\u4f1a\u628a\u6587\u4ef6\u53d1\u9001\u56de\u6d4f\u89c8\u5668\uff0c\u5426\u5219\u53d1\u9001\u4e00\u6761\u9519\u8bef\u6d88\u606f\uff0c\u8868\u660e\u60a8\u8bf7\u6c42\u4e86\u4e00\u4e2a\u9519\u8bef\u7684\u6587\u4ef6\u3002</li> <li>Web \u6d4f\u89c8\u5668\u4ece Web \u670d\u52a1\u5668\u83b7\u53d6\u54cd\u5e94\uff0c\u5e76\u6839\u636e\u63a5\u6536\u5230\u7684\u54cd\u5e94\u6765\u663e\u793a\u6587\u4ef6\u6216\u9519\u8bef\u6d88\u606f\u3002</li> </ul>"},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#383-cgi","title":"3.8.3 CGI \u67b6\u6784\u56fe","text":""},{"location":"CS%20basic/C%2B%2B/C%2B%2B%E8%AF%AD%E6%B3%95/#384-web","title":"3.8.4 Web \u670d\u52a1\u5668\u914d\u7f6e","text":"<p>TODO</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/","title":"COMPOSING PROGRAMS","text":"<p> \u7ea6 2713 \u4e2a\u5b57  651 \u884c\u4ee3\u7801  2 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 17 \u5206\u949f</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#1","title":"1 \u4f7f\u7528\u51fd\u6570\u6784\u5efa\u62bd\u8c61","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#11","title":"1.1 \u5f00\u59cb","text":"<p>\u7a0b\u5e8f\u7531\u4e24\u90e8\u5206\u7ec4\u6210:</p> <ul> <li>\u8ba1\u7b97\u4e00\u4e9b\u503c</li> <li>\u6267\u884c\u4e00\u4e9b\u64cd\u4f5c</li> <li>\u51fd\u6570</li> <li>\u5bf9\u8c61</li> <li>\u89e3\u91ca\u5668:<ul> <li>\u7528\u4e8e\u8ba1\u7b97\u590d\u6742\u8868\u8fbe\u5f0f\u7684\u7a0b\u5e8f</li> </ul> </li> <li>\u589e\u91cf\u6d4b\u8bd5\u3001\u6a21\u5757\u5316\u8bbe\u8ba1\u3001\u660e\u786e\u7684\u5047\u8bbe\u548c\u56e2\u961f\u5408\u4f5c</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#12","title":"1.2 \u7f16\u7a0b\u8981\u7d20","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#121","title":"1.2.1 \u8868\u8fbe\u5f0f","text":"<ul> <li>\u8bed\u8a00\u8981\u6709\u7684\u673a\u5236:<ul> <li>\u539f\u59cb\u8868\u8fbe\u5f0f\u548c\u8bed\u53e5\uff1a\u8bed\u8a00\u6240\u5173\u5fc3\u7684\u6700\u7b80\u5355\u7684\u4e2a\u4f53</li> <li>\u7ec4\u5408\u65b9\u6cd5\uff1a\u7531\u7b80\u5355\u5143\u7d20\u7ec4\u5408\u6784\u5efa\u590d\u5408\u5143\u7d20</li> <li>\u62bd\u8c61\u65b9\u6cd5\uff1a\u547d\u540d\u590d\u5408\u5143\u7d20\uff0c\u5e76\u5c06\u5176\u4f5c\u4e3a\u5355\u5143\u8fdb\u884c\u64cd\u4f5c  </li> </ul> </li> <li>infix notation</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#122","title":"1.2.2 \u8c03\u7528\u8868\u8fbe\u5f0f","text":"<ul> <li>subexpressions  </li> <li>\u7528\u53c2\u6570\u6765\u8c03\u7528\u51fd\u6570  </li> <li>nested\uff08\u5d4c\u5957\uff09</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#123","title":"1.2.3 \u5bfc\u5165\u5e93\u51fd\u6570","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#124","title":"1.2.4 \u540d\u79f0\u4e0e\u73af\u5883","text":"<ul> <li>= is assignment operator<ul> <li>\u6700\u7b80\u5355\u7684\u62bd\u8c61\u65b9\u6cd5</li> </ul> </li> <li>environment</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#125","title":"1.2.5 \u6c42\u89e3\u5d4c\u5957\u8868\u8fbe\u5f0f","text":"<p>\u6c42\u503c\u7a0b\u5e8f\u672c\u8d28\u4e0a\u662f\u9012\u5f52\u7684 </p> <ul> <li>\u8868\u8fbe\u5f0f\u6811</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#126-print","title":"1.2.6 \u975e\u7eaf\u51fd\u6570 print","text":"<p>Pure functions None-pure functions     which has a side effect</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#13","title":"1.3 \u5b9a\u4e49\u65b0\u7684\u51fd\u6570","text":"Python<pre><code>def &lt;name&gt;(&lt;formal parameters&gt;):\n    return &lt;return expression&gt;  \n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#131","title":"1.3.1 \u73af\u5883","text":"<p>environment has some frames     frames have some bindings</p> <ul> <li>intrinsic name</li> <li>bound name \u4e0d\u540c\u7684\u540d\u79f0\u53ef\u80fd\u6307\u7684\u662f\u540c\u4e00\u4e2a\u51fd\u6570\uff0c\u4f46\u8be5\u51fd\u6570\u672c\u8eab\u53ea\u6709\u4e00\u4e2a\u5185\u5728\u540d\u79f0 \u5bf9\u51fd\u6570\u5f62\u5f0f\u53c2\u6570\u7684\u63cf\u8ff0\u88ab\u79f0\u4e3a\u51fd\u6570\u7684\u7b7e\u540d</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#132","title":"1.3.2 \u8c03\u7528\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570","text":"<ol> <li>\u5728\u65b0\u7684\u5c40\u90e8\u5e27\u4e2d\uff0c\u5c06\u5b9e\u53c2\u7ed1\u5b9a\u5230\u51fd\u6570\u7684\u5f62\u53c2\u4e0a\u3002</li> <li>\u5728\u4ee5\u6b64\u5e27\u5f00\u59cb\u7684\u73af\u5883\u4e2d\u6267\u884c\u51fd\u6570\u4f53\u3002 name evaluation</li> </ol>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#133","title":"1.3.3 \u793a\u4f8b\uff1a\u8c03\u7528\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#134","title":"1.3.4 \u5c40\u90e8\u540d\u79f0","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#135","title":"1.3.5 \u9009\u62e9\u540d\u79f0","text":"<p>PEP 8 \u2013 Style Guide for Python Code | peps.python.org</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#136","title":"1.3.6 \u62bd\u8c61\u51fd\u6570","text":"<ul> <li>functional abstraction<ul> <li>domain</li> <li>range</li> <li>intent</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#137","title":"1.3.7 \u8fd0\u7b97\u7b26","text":"<ul> <li>truediv</li> <li>floordiv</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#14","title":"1.4 \u8bbe\u8ba1\u51fd\u6570","text":"<ul> <li>\u4e00\u4e2a\u51fd\u6570\u4e00\u4e2a\u4efb\u52a1</li> <li>Don't repeat yourself (DRY)</li> <li>\u5b9a\u4e49\u901a\u7528\u7684\u51fd\u6570</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#141","title":"1.4.1 \u6587\u6863","text":"<p>docstring</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#142","title":"1.4.2 \u53c2\u6570\u9ed8\u8ba4\u503c","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#15","title":"1.5 \u63a7\u5236","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#151","title":"1.5.1 \u8bed\u53e5","text":"<ul> <li>assignment</li> <li>def </li> <li>return</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#152","title":"1.5.2 \u590d\u5408\u8bed\u53e5","text":"<p>header suite</p> Python<pre><code>&lt;header&gt;:\n    &lt;statement&gt;\n    &lt;statement&gt;\n    ...\n&lt;separating header&gt;:\n    &lt;statement&gt;\n    &lt;statement&gt;\n    ...\n...\n</code></pre> <p>def \u662f\u590d\u5408\u8bed\u53e5 the header controls its suite \u8fd9\u4e2a\u5b9a\u4e49\u63ed\u793a\u4e86\u9012\u5f52\u5b9a\u4e49\u5e8f\u5217\uff08sequence\uff09\u7684\u57fa\u672c\u7ed3\u6784\uff1a\u4e00\u4e2a\u5e8f\u5217\u53ef\u4ee5\u5206\u89e3\u6210\u5b83\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u548c\u5176\u4f59\u5143\u7d20 redirected control</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#153-ii","title":"1.5.3 \u00a0\u5b9a\u4e49\u51fd\u6570 II\uff1a\u5c40\u90e8\u8d4b\u503c","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#154","title":"1.5.4 \u6761\u4ef6\u8bed\u53e5","text":"Python<pre><code>if &lt;expression&gt;:\n    &lt;suite&gt;\nelif &lt;expression&gt;:\n    &lt;suite&gt;\nelse:\n    &lt;suite&gt;\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#155","title":"1.5.5 \u8fed\u4ee3","text":"<p>iteractive control</p> Python<pre><code>while &lt;expression&gt;:\n    &lt;suite&gt;\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#156","title":"1.5.6 \u6d4b\u8bd5","text":"<p>assertions</p> Python<pre><code>&gt;&gt;&gt; assert fib(8) == 13, '\u7b2c\u516b\u4e2a\u6590\u6ce2\u90a3\u5951\u6570\u5e94\u8be5\u662f 13'\n</code></pre> <p>Doctests</p> Python<pre><code>&gt;&gt;&gt; def sum_naturals(n):\n    \"\"\"\u8fd4\u56de\u524d n \u4e2a\u81ea\u7136\u6570\u7684\u548c\u3002\n\n    &gt;&gt;&gt; sum_naturals(10)\n    55\n    &gt;&gt;&gt; sum_naturals(100)\n    5050\n    \"\"\"\n    total, k = 0, 1\n    while k &lt;= n:\n        total, k = total + k, k + 1\n    return total\n</code></pre> Python<pre><code>&gt;&gt;&gt; from doctest import testmod\n&gt;&gt;&gt; testmod()\nTestResults(failed=0, attempted=2)\n</code></pre> <p>\u5355\u4e2a\u51fd\u6570\u7684\u4ea4\u4e92</p> Python<pre><code>&gt;&gt;&gt; from doctest import run_docstring_examples\n&gt;&gt;&gt; run_docstring_examples(sum_naturals, globals(), True)\nFinding tests in NoName\nTrying:\n\u00a0\u00a0\u00a0 sum_naturals(10)\nExpecting:\n\u00a0\u00a0\u00a0 55\nok\nTrying:\n\u00a0\u00a0\u00a0 sum_naturals(100)\nExpecting:\n\u00a0\u00a0\u00a0 5050\nok\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#16","title":"1.6 \u9ad8\u9636\u51fd\u6570","text":"<ul> <li>general patterns  </li> <li>named concepts  </li> <li>higher-order functions  <ul> <li>\u53ef\u4ee5\u628a\u51fd\u6570\u5f53\u4f5c\u53c2\u6570\u6216\u8005\u8fd4\u56de\u503c</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#161","title":"1.6.1 \u4f5c\u4e3a\u53c2\u6570\u7684\u51fd\u6570","text":"<ul> <li>slots  </li> <li>step through \uff08\u5355\u6b65\u8c03\u8bd5\uff09  </li> <li>\u4e00\u4e2a\u51e0\u4e4e\u6ca1\u5fc5\u8981\u770b\u7684\u4f8b\u5b50:</li> </ul> Python<pre><code>&gt;&gt;&gt; def summation(n, term):\n        total, k = 0, 1\n        while k &lt;= n:\n            total, k = total + term(k), k + 1\n        return total\n&gt;&gt;&gt; def identity(x):\n        return x\n&gt;&gt;&gt; def sum_naturals(n):\n        return summation(n, identity)\n&gt;&gt;&gt; sum_naturals(10)\n55\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#162","title":"1.6.2 \u4f5c\u4e3a\u901a\u7528\u65b9\u6cd5\u7684\u51fd\u6570","text":"<ul> <li>user-defined functions  </li> <li>general methods  </li> <li>iterative improvement  </li> <li>repetitive refinement</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#163-iii","title":"1.6.3 \u5b9a\u4e49\u51fd\u6570 III\uff1a\u5d4c\u5957\u5b9a\u4e49","text":"<p>\u4e24\u4e2a\u540e\u679c:</p> <ul> <li>\u5168\u5c40\u5e27\u53d8\u6df7\u4e71</li> <li>\u51fd\u6570\u7b7e\u540d\u9650\u5236  </li> <li>Nested function definition  </li> <li>Lexical scope  <ul> <li>\u8fd9\u79cd\u5728\u5d4c\u5957\u5b9a\u4e49\u4e4b\u95f4\u5171\u4eab\u540d\u79f0\u7684\u89c4\u5219\u79f0\u4e3a\u8bcd\u6cd5\u4f5c\u7528\u57df</li> </ul> </li> </ul> <ol> <li>\u6bcf\u4e2a\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570\u90fd\u6709\u4e00\u4e2a\u7236\u73af\u5883\uff1a\u5b9a\u4e49\u5b83\u7684\u73af\u5883\u3002</li> <li>\u8c03\u7528\u7528\u6237\u5b9a\u4e49\u7684\u51fd\u6570\u65f6\uff0c\u5176\u5c40\u90e8\u5e27\u4f1a\u7ee7\u627f\u5176\u7236\u73af\u5883\u3002</li> </ol> <ul> <li>\u5173\u952e\u4f18\u52bf:<ul> <li>\u5c40\u90e8\u51fd\u6570\u7684\u540d\u79f0\u4e0d\u4f1a\u5f71\u54cd\u5b9a\u4e49\u5b83\u7684\u51fd\u6570\u7684\u5916\u90e8\u540d\u79f0\uff0c\u56e0\u4e3a\u5c40\u90e8\u51fd\u6570\u7684\u540d\u79f0\u5c06\u7ed1\u5b9a\u5728\u5b9a\u4e49\u5b83\u7684\u5f53\u524d\u5c40\u90e8\u73af\u5883\u4e2d\uff0c\u800c\u4e0d\u662f\u5168\u5c40\u73af\u5883\u4e2d\u3002</li> <li>\u5c40\u90e8\u51fd\u6570\u53ef\u4ee5\u8bbf\u95ee\u5916\u5c42\u51fd\u6570\u7684\u73af\u5883\uff0c\u8fd9\u662f\u56e0\u4e3a\u5c40\u90e8\u51fd\u6570\u7684\u51fd\u6570\u4f53\u7684\u6c42\u503c\u73af\u5883\u4f1a\u7ee7\u627f\u5b9a\u4e49\u5b83\u7684\u6c42\u503c\u73af\u5883\u3002  </li> </ul> </li> <li>Extended Environments  </li> <li>\u5c40\u90e8\u5b9a\u4e49\u7684\u51fd\u6570\u901a\u5e38\u88ab\u79f0\u4e3a\u95ed\u5305\uff08closures\uff09</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#164","title":"1.6.4 \u4f5c\u4e3a\u8fd4\u56de\u503c\u7684\u51fd\u6570","text":"<ul> <li>composition</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#165","title":"1.6.5 \u793a\u4f8b\uff1a\u725b\u987f\u6cd5","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#166-currying","title":"1.6.6 Currying","text":"<ul> <li>uncurrying transformation</li> </ul> Python<pre><code>&gt;&gt;&gt; def curry2(f):\n        \"\"\"\u8fd4\u56de\u7ed9\u5b9a\u7684\u53cc\u53c2\u6570\u51fd\u6570\u7684\u67ef\u91cc\u5316\u7248\u672c\"\"\"\n        def g(x):\n            def h(y):\n                return f(x, y)\n            return h\n        return g\n&gt;&gt;&gt; def uncurry2(g):\n        \"\"\"\u8fd4\u56de\u7ed9\u5b9a\u7684\u67ef\u91cc\u5316\u51fd\u6570\u7684\u53cc\u53c2\u6570\u7248\u672c\"\"\"\n        def f(x, y):\n            return g(x)(y)\n        return f\n&gt;&gt;&gt; pow_curried = curry2(pow)\n&gt;&gt;&gt; pow_curried(2)(5)\n32\n&gt;&gt;&gt; map_to_range(0, 10, pow_curried(2))\n1\n2\n4\n8\n16\n32\n64\n128\n256\n512\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#167-lambda","title":"1.6.7 Lambda \u8868\u8fbe\u5f0f","text":"Python<pre><code>lambda              x         :              f(g(x))\n\"A function that    takes x   and returns    f(g(x))\"\n</code></pre> <p>\\(\\displaystyle \\lambda\\)</p> Python<pre><code>&gt;&gt;&gt; s = lambda x: x * x\n&gt;&gt;&gt; s\n&lt;function &lt;lambda&gt; at 0xf3f490&gt;\n&gt;&gt;&gt; s(12)\n144\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#168","title":"1.6.8 \u62bd\u8c61\u548c\u4e00\u7b49\u51fd\u6570","text":"<ul> <li>first-class status</li> </ul> <ol> <li>\u53ef\u4ee5\u4e0e\u540d\u79f0\u7ed1\u5b9a</li> <li>\u53ef\u4ee5\u4f5c\u4e3a\u53c2\u6570\u4f20\u9012\u7ed9\u51fd\u6570</li> <li>\u53ef\u4ee5\u4f5c\u4e3a\u51fd\u6570\u7684\u7ed3\u679c\u8fd4\u56de</li> <li>\u53ef\u4ee5\u5305\u542b\u5728\u6570\u636e\u7ed3\u6784\u4e2d</li> </ol>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#169","title":"1.6.9 \u51fd\u6570\u88c5\u9970\u5668","text":"<ul> <li>decorator</li> </ul> Python<pre><code>&gt;&gt;&gt; def trace(fn):\n        def wrapped(x):\n            print('-&gt; ', fn, '(', x, ')')\n            return fn(x)\n        return wrapped\n\n&gt;&gt;&gt; @trace\n    def triple(x):\n        return 3 * x\n\n&gt;&gt;&gt; triple(12)\n-&gt;  &lt;function triple at 0x102a39848&gt; ( 12 )\n36\n</code></pre> <ul> <li>annotation  </li> <li>\u7b49\u4ef7\u4e8e:</li> </ul> Python<pre><code>&gt;&gt;&gt; def triple(x):\n        return 3 * x\n&gt;&gt;&gt; triple = trace(triple)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#17","title":"1.7 \u9012\u5f52\u51fd\u6570","text":"<ul> <li>rucursive  </li> <li>circular nature</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#171","title":"1.7.1 \u9012\u5f52\u51fd\u6570\u5256\u6790","text":"<ul> <li>base case  </li> <li>unwinds  </li> <li>recursive calls  </li> <li>induction</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#172-mutually-recursive","title":"1.7.2 mutually recursive","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#173","title":"1.7.3 \u9012\u5f52\u51fd\u6570\u4e2d\u7684\u6253\u5370","text":"<ul> <li>abstraction barrier</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#174-tree-recursive","title":"1.7.4 tree recursive","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#175","title":"1.7.5 \u793a\u4f8b\uff1a\u5206\u5272\u6570","text":"Python<pre><code>&gt;&gt;&gt; def count_partitions(n, m):\n\u00a0\u00a0\u00a0     \"\"\"\u8ba1\u7b97\u4f7f\u7528\u6700\u5927\u6570 m \u7684\u6574\u6570\u5206\u5272 n \u7684\u65b9\u5f0f\u7684\u6570\u91cf\"\"\"\n\u00a0\u00a0\u00a0     if n == 0:\n\u00a0\u00a0\u00a0         return 1\n\u00a0\u00a0\u00a0     elif n &lt; 0:\n\u00a0\u00a0\u00a0         return 0\n\u00a0\u00a0\u00a0     elif m == 0:\n\u00a0\u00a0\u00a0         return 0\n\u00a0\u00a0\u00a0     else:\n\u00a0\u00a0\u00a0         return count_partitions(n-m, m) + count_partitions(n, m-1)\n\n&gt;&gt;&gt; count_partitions(6, 4)\n9\n&gt;&gt;&gt; count_partitions(5, 5)\n7\n&gt;&gt;&gt; count_partitions(10, 10)\n42\n&gt;&gt;&gt; count_partitions(15, 15)\n176\n&gt;&gt;&gt; count_partitions(20, 20)\n627\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#2","title":"2 \u4f7f\u7528\u6570\u636e\u6784\u5efa\u62bd\u8c61","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#21","title":"2.1 \u5f15\u8a00","text":"<ul> <li>\u9ad8\u9636\u51fd\u6570\u4f7f\u6211\u4eec\u80fd\u591f\u6839\u636e\u901a\u7528\u7684\u8ba1\u7b97\u65b9\u6cd5\u8fdb\u884c\u64cd\u4f5c\u548c\u63a8\u7406\uff0c\u4ece\u800c\u589e\u5f3a\u4e86\u8bed\u8a00\u7684\u529f\u80fd\u3002\u8fd9\u5c31\u662f\u7f16\u7a0b\u7684\u672c\u8d28</li> <li>\u6709\u6548\u4f7f\u7528\u5185\u7f6e\u6570\u636e\u7c7b\u578b\u548c\u7528\u6237\u5b9a\u4e49\u7684\u6570\u636e\u7c7b\u578b\u662f\u6570\u636e\u5904\u7406\u578b\u5e94\u7528\uff08data processing applications\uff09\u7684\u57fa\u7840</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#211","title":"2.1.1 \u539f\u59cb\u6570\u636e\u7c7b\u578b","text":"<p>\u539f\u59cb\u6570\u636e\u7c7b\u578b\u5177\u6709\u5c5e\u6027:</p> <ol> <li>\u6709\u4e00\u4e9b\u53ef\u4ee5\u6c42\u89e3\u4e3a\u539f\u59cb\u6570\u636e\u7c7b\u578b\u7684\u8868\u8fbe\u5f0f\uff0c\u88ab\u79f0\u4e3a\u5b57\u9762\u91cf\uff08literals\uff09\u3002</li> <li>\u6709\u7528\u4e8e\u64cd\u4f5c\u539f\u59cb\u7c7b\u578b\u503c\u7684\u5185\u7f6e\u51fd\u6570\u548c\u64cd\u4f5c\u7b26\u3002 - \u539f\u59cb\u6570\u5b57\u7c7b\u578b<ul> <li>int</li> <li>float</li> <li>complex</li> <li>Non-numeric types</li> <li>bool</li> <li>more on \u539f\u59cb\u6570\u636e\u7c7b\u578b</li> </ul> </li> </ol>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#22","title":"2.2 \u6570\u636e\u62bd\u8c61","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#221","title":"2.2.1 \u793a\u4f8b\uff1a\u6709\u7406\u6570","text":"<p>wishful thinking</p> Python<pre><code>&gt;&gt;&gt; def add_rationals(x, y):\n        nx, dx = numer(x), denom(x)\n        ny, dy = numer(y), denom(y)\n        return rational(nx * dy + ny * dx, dx * dy)\n\n&gt;&gt;&gt; def mul_rationals(x, y):\n        return rational(numer(x) * numer(y), denom(x) * denom(y))\n\n&gt;&gt;&gt; def print_rational(x):\n        print(numer(x), '/', denom(x))\n\n&gt;&gt;&gt; def rationals_are_equal(x, y):\n        return numer(x) * denom(y) == numer(y) * denom(x)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#222-pair","title":"2.2.2 pair","text":"<p>from operator import getitem</p> Python<pre><code>&gt;&gt;&gt; def rational(n, d):\n        return [n, d]\n\n&gt;&gt;&gt; def numer(x):\n        return x[0]\n\n&gt;&gt;&gt; def denom(x):\n        return x[1]\n</code></pre> <p>\u7b80\u5316\u6709\u7406\u6570:</p> Python<pre><code>&gt;&gt;&gt; from fractions import gcd\n&gt;&gt;&gt; def rational(n, d):\n        g = gcd(n, d)\n        return (n//g, d//g)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#223","title":"2.2.3 \u62bd\u8c61\u5c4f\u969c","text":"<ul> <li>\u6570\u636e\u62bd\u8c61: \u7528\u4e00\u7ec4\u57fa\u672c\u64cd\u4f5c\u6765\u64cd\u4f5c\u6570\u636e\u3002  </li> <li>avbstraction barrier  </li> <li>the best:</li> </ul> Python<pre><code>&gt;&gt;&gt; def square_rational(x):\n    return mul_rational(x, x)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#224","title":"2.2.4 \u6570\u636e\u7684\u5c5e\u6027","text":"<p>\u76f8\u5f53\u4e8e\u81ea\u5df1\u5199\u4e00\u4e2a\u6570\u636e\u7ed3\u6784:</p> Python<pre><code>&gt;&gt;&gt; def pair(x, y):\n        \"\"\"Return a function that represents a pair.\"\"\"\n        def get(index):\n            if index == 0:\n                return x\n            elif index == 1:\n                return y\n        return get\n\n&gt;&gt;&gt; def select(p, i):\n        \"\"\"Return the element at index i of pair p.\"\"\"\n        return p(i)\n\n&gt;&gt;&gt; p = pair(20, 14)\n&gt;&gt;&gt; select(p, 0)\n20\n&gt;&gt;&gt; select(p, 1)\n14\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#23","title":"2.3 \u5e8f\u5217","text":"<ul> <li>sequence<ul> <li>Length</li> <li>Element selection</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#231-list","title":"2.3.1 list","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#232","title":"2.3.2 \u5e8f\u5217\u904d\u5386","text":"Python<pre><code>for &lt;name&gt; in &lt;expression&gt;:\n    &lt;suite&gt;\n</code></pre> <p>the expression must produce an iterable object sequence unpacking</p> Python<pre><code>&gt;&gt;&gt; pairs = [[1, 2], [2, 2], [2, 3], [4, 4]]\n&gt;&gt;&gt; same_count = 0\n&gt;&gt;&gt; for x, y in pairs:\n        if x == y:\n            same_count = same_count + 1\n&gt;&gt;&gt; same_count\n2\n</code></pre> <p>range</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#233","title":"2.3.3 \u5e8f\u5217\u5904\u7406","text":"<p>list comprehensions</p> Python<pre><code>&gt;&gt;&gt; odds = [1, 3, 5, 7, 9]\n&gt;&gt;&gt; [x+1 for x in odds]\n[2, 4, 6, 8, 10]\n[&lt;map expression&gt; for &lt;name&gt; in &lt;sequence expression&gt; if &lt;filter expression&gt;]\n</code></pre> <ul> <li>Aggregation \u5c31\u662f\u7f29\u5e76\u5566<ul> <li>sum</li> <li>min</li> <li>max</li> </ul> </li> </ul> Python<pre><code>&gt;&gt;&gt; def apply_to_all(map_fn, s):\n    return [map_fn(x) for x in s]\n&gt;&gt;&gt; def keep_if(filter_fn, s):\n    return [x for x in s if filter_fn(x)]\n# conventional names\n&gt;&gt;&gt; apply_to_all = lambda map_fn, s: list(map(map_fn, s))\n&gt;&gt;&gt; keep_if = lambda filter_fn, s: list(filter(filter_fn, s))\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#234","title":"2.3.4 \u5e8f\u5217\u62bd\u8c61","text":"<ul> <li>Membership<ul> <li>in</li> <li>not in</li> </ul> </li> <li>Slicing</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#235","title":"2.3.5 \u5b57\u7b26\u4e32","text":"<p>string \u6ca1\u6709\u5b57\u7b26\u7c7b\u578b</p> <ul> <li>Membership</li> <li>Multiline Literals</li> <li>String Coercion more on Dive Into Python 3\u00a0\u7684\u00a0\u5b57\u7b26\u4e32\u7ae0\u8282\u00a0\u63d0\u4f9b\u4e86\u5b57\u7b26\u7f16\u7801\u548c Unicode \u7684\u63cf\u8ff0</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#236","title":"2.3.6 \u6811","text":"<p>closure property bax-and-pointer notation</p> <ul> <li>root label</li> <li>branch</li> <li>leaf: the tree without branch</li> <li>node tree-recursive \u4e24\u4e2a\u4f8b\u5b50:</li> </ul> Python<pre><code>&gt;&gt;&gt; def fib_tree(n):\n        if n == 0 or n == 1:\n            return tree(n)\n        else:\n            left, right = fib_tree(n-2), fib_tree(n-1)\n            fib_n = label(left) + label(right)\n            return tree(fib_n, [left, right])\n&gt;&gt;&gt; fib_tree(5)\n[5, [2, [1], [1, [0], [1]]], [3, [1, [0], [1]], [2, [1], [1, [0], [1]]]]]\n</code></pre> Python<pre><code>&gt;&gt;&gt; def count_leaves(tree):\n      if is_leaf(tree):\n          return 1\n      else:\n          branch_counts = [count_leaves(b) for b in branches(tree)]\n          return sum(branch_counts)\n&gt;&gt;&gt; count_leaves(fib_tree(5))\n8\n</code></pre> <p>Partition trees</p> Python<pre><code>&gt;&gt;&gt; def print_parts(tree, partition=[]):\n        if is_leaf(tree):\n            if label(tree):\n                print(' + '.join(partition))\n        else:\n            left, right = branches(tree)\n            m = str(label(tree))\n            print_parts(left, partition + [m])\n            print_parts(right, partition)\n\n&gt;&gt;&gt; print_parts(partition_tree(6, 4))\n4 + 2\n4 + 1 + 1\n3 + 3\n3 + 2 + 1\n3 + 1 + 1 + 1\n2 + 2 + 2\n2 + 2 + 1 + 1\n2 + 1 + 1 + 1 + 1\n1 + 1 + 1 + 1 + 1 + 1\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#237","title":"2.3.7 \u94fe\u8868","text":"<p>linked list abstract data representation</p> Python<pre><code>&gt;&gt;&gt; def partitions(n, m):\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u5305\u542b n \u7684\u5206\u5272\u65b9\u6848\u7684\u94fe\u8868\uff0c\u5176\u4e2d\u6bcf\u4e2a\u6b63\u6574\u6570\u4e0d\u8d85\u8fc7 m\"\"\"\nif n == 0:\n    return link(empty, empty) # \u5305\u542b\u7a7a\u5206\u5272\u7684\u94fe\u8868\nelif n &lt; 0 or m == 0:\n    return empty\nelse:\n    using_m = partitions(n-m, m)\n    with_m = apply_to_all_link(lambda s: link(m, s), using_m)\n    without_m = partitions(n, m-1)\n    return extend_link(with_m, without_m)\n\n&gt;&gt;&gt; def print_partitions(n, m):\n        lists = partitions(n, m)\n        strings = apply_to_all_link(lambda s: join_link(s, \" + \"), lists)\n        print(join_link(strings, \"\\n\"))\n\n&gt;&gt;&gt; print_partitions(6, 4)\n4 + 2\n4 + 1 + 1\n3 + 3\n3 + 2 + 1\n3 + 1 + 1 + 1\n2 + 2 + 2\n2 + 2 + 1 + 1\n2 + 1 + 1 + 1 + 1\n1 + 1 + 1 + 1 + 1 + 1\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#24","title":"2.4 \u53ef\u53d8\u6570\u636e","text":"<p>object-oriented programming</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#241","title":"2.4.1 \u5bf9\u8c61\u9690\u55bb","text":"<ul> <li>attributes</li> <li>method</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#242","title":"2.4.2 \u5e8f\u5217\u5bf9\u8c61","text":"<p>mutable Sharing and Identity \u5217\u8868\u63a8\u5bfc\u5f0f:</p> Python<pre><code>&gt;&gt;&gt; from unicodedata import lookup\n&gt;&gt;&gt; [lookup('WHITE ' + s.upper() + ' SUIT') for s in suits]\n['\u2661', '\u2662', '\u2664', '\u2667']\n</code></pre> <p>tuple</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#243","title":"2.4.3 \u5b57\u5178","text":"<p>key-value pairs</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#244","title":"2.4.4 \u5c40\u90e8\u72b6\u6001","text":"<p>local state</p> Python<pre><code>&gt;&gt;&gt; def make_withdraw(balance):\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u6bcf\u6b21\u8c03\u7528\u90fd\u4f1a\u51cf\u5c11 balance \u7684 withdraw \u51fd\u6570\"\"\"\ndef withdraw(amount):\n    nonlocal balance                 # \u58f0\u660e balance \u662f\u975e\u5c40\u90e8\u7684\n    if amount &gt; balance:\n        return '\u4f59\u989d\u4e0d\u8db3'\n    balance = balance - amount       # \u91cd\u65b0\u7ed1\u5b9a\n    return balance\nreturn withdraw\n</code></pre> <p>Python Particulars</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#245-non-local","title":"2.4.5 \u975e\u5c40\u90e8 Non-local \u8d4b\u503c\u7684\u597d\u5904","text":"<p>\u8fd9\u6837\uff0c\u6bcf\u4e2a withdraw \u5b9e\u4f8b\u90fd\u4fdd\u6301\u81ea\u5df1\u7684 balance \u72b6\u6001\uff0c\u4f46\u7a0b\u5e8f\u4e2d\u7684\u4efb\u4f55\u5176\u4ed6\u51fd\u6570\u90fd\u65e0\u6cd5\u8bbf\u95ee\u8be5\u72b6\u6001\u3002\u4ece\u66f4\u9ad8\u7684\u5c42\u9762\u6765\u770b\u8fd9\u79cd\u60c5\u51b5\uff0c\u6211\u4eec\u62bd\u8c61\u4e86\u4e00\u4e2a\u94f6\u884c\u8d26\u6237\uff0c\u5b83\u81ea\u5df1\u7ba1\u7406\u81ea\u5df1\u7684\u72b6\u6001\uff0c\u5176\u884c\u4e3a\u65b9\u5f0f\u4e0e\u4e16\u754c\u4e0a\u6240\u6709\u5176\u5b83\u8d26\u6237\u4e00\u6837\uff1a\u968f\u7740\u65f6\u95f4\u63a8\u79fb\uff0c\u8d26\u6237\u7684\u72b6\u6001\u4f1a\u6839\u636e\u8d26\u6237\u7684\u53d6\u6b3e\u8bb0\u5f55\u800c\u53d1\u751f\u53d8\u5316\u3002</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#246-non-local","title":"2.4.6 \u975e\u5c40\u90e8 Non-local \u8d4b\u503c\u7684\u4ee3\u4ef7","text":"<ul> <li>\u6b63\u786e\u7406\u89e3\u5305\u542b nonlocal \u58f0\u660e\u7684\u4ee3\u7801\u7684\u5173\u952e\u662f\u8bb0\u4f4f\uff1a\u53ea\u6709\u51fd\u6570\u8c03\u7528\u624d\u80fd\u5f15\u5165\u65b0\u5e27\u3002\u8d4b\u503c\u8bed\u53e5\u53ea\u80fd\u66f4\u6539\u73b0\u6709\u5e27\u4e2d\u7684\u7ed1\u5b9a\u5173\u7cfb\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u9664\u975e make_withdraw \u88ab\u8c03\u7528\u4e24\u6b21\uff0c\u5426\u5219\u53ea\u80fd\u6709\u4e00\u4e2a balance \u7ed1\u5b9a\u3002  </li> <li>Sameness and change  </li> <li>referentially transparent</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#247","title":"2.4.7 \u5217\u8868\u548c\u5b57\u5178\u5b9e\u73b0","text":"<p>\u51fd\u6570\u662f\u4e00\u4e2a dispatch \uff08\u8c03\u5ea6\uff09\u51fd\u6570\uff0c\u5176\u53c2\u6570\u9996\u5148\u662f\u4e00\u4e2a\u671f\u671b\u7684\u6307\u4ee4\uff0c\u4ee3\u8868\u671f\u671b\u8fd9\u4e2a\u51fd\u6570\u505a\u4ec0\u4e48\uff1b\u7136\u540e\u662f\u8be5\u65b9\u6cd5\u7684\u9700\u8981\u7528\u5230\u7684\u53c2\u6570\u3002\u6b64\u6307\u4ee4\u662f\u4e00\u4e2a\u5b57\u7b26\u4e32\uff0c\u7528\u4e8e\u547d\u540d\u51fd\u6570\u5e94\u6267\u884c\u7684\u64cd\u4f5c\u3002\u53ef\u4ee5\u5c06\u8fd9\u4e2a dispatch \u51fd\u6570\u7406\u89e3\u4e3a\u591a\u4e2a\u4e0d\u540c\u51fd\u6570\u7684\u62bd\u8c61\uff1a\u7b2c\u4e00\u4e2a\u53c2\u6570\u786e\u5b9a\u76ee\u6807\u51fd\u6570\u7684\u884c\u4e3a\uff0c\u5e76\u4e3a\u8be5\u884c\u4e3a\u5165\u53c2\u5176\u4ed6\u53c2\u6570\u3002     \u7528\u5b57\u7b26\u4e32\u4e5f\u592a\u9006\u5929\u4e86\u3002</p> Python<pre><code>&gt;&gt;&gt; def mutable_link():\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u53ef\u53d8\u94fe\u8868\u7684\u51fd\u6570\"\"\"\ncontents = empty\ndef dispatch(message, value=None):\n    nonlocal contents\n    if message == 'len':\n        return len_link(contents)\n    elif message == 'getitem':\n        return getitem_link(contents, value)\n    elif message == 'push_first':\n        contents = link(value, contents)\n    elif message == 'pop_first':\n        f = first(contents)\n        contents = rest(contents)\n        return f\n    elif message == 'str':\n        return join_link(contents, \", \")\nreturn dispatch\n\n&gt;&gt;&gt; def to_mutable_link(source):\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u4e0e\u539f\u5217\u8868\u76f8\u540c\u5185\u5bb9\u7684\u51fd\u6570\u5217\u8868\"\"\"\ns = mutable_link()\nfor element in reversed(source):\n    s('push_first', element)\nreturn s\n\n&gt;&gt;&gt; s = to_mutable_link(suits)\n&gt;&gt;&gt; type(s)\n&lt;class 'function'&gt;\n&gt;&gt;&gt; print(s('str'))\nheart, diamond, spade, club\n</code></pre> <p>\u5b57\u5178\u5b9e\u73b0:</p> Python<pre><code>&gt;&gt;&gt; def dictionary():\n\"\"\"\u8fd4\u56de\u4e00\u4e2a\u5b57\u5178\u7684\u51fd\u6570\u5b9e\u73b0\"\"\"\nrecords = []\ndef getitem(key):\n    matches = [r for r in records if r[0] == key]\n    if len(matches) == 1:\n        key, value = matches[0]\n        return value\ndef setitem(key, value):\n    nonlocal records\n    non_matches = [r for r in records if r[0] != key]\n    records = non_matches + [[key, value]]\ndef dispatch(message, key=None, value=None):\n    if message == 'getitem':\n        return getitem(key)\n    elif message == 'setitem':\n        setitem(key, value)\nreturn dispatch\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#248-dispatch-dictionaries","title":"2.4.8 \u8c03\u5ea6\u5b57\u5178\uff08Dispatch Dictionaries\uff09","text":"<p>\u7528\u5b57\u5178\u5b58\u50a8\u6d88\u606f\u3002</p> Python<pre><code>def account(initial_balance):\n    def deposit(amount):\n        dispatch['balance'] += amount\n        return dispatch['balance']\n    def withdraw(amount):\n        if amount &gt; dispatch['balance']:\n            return 'Insufficient funds'\n        dispatch['balance'] -= amount\n        return dispatch['balance']\n    dispatch = {'deposit':   deposit,\n                'withdraw':  withdraw,\n                'balance':   initial_balance}\n    return dispatch\n\ndef withdraw(account, amount):\n    return account['withdraw'](amount)\ndef deposit(account, amount):\n    return account['deposit'](amount)\ndef check_balance(account):\n    return account['balance']\n\na = account(20)\ndeposit(a, 5)\nwithdraw(a, 17)\ncheck_balance(a)\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#249-propagating-constraints","title":"2.4.9 \u7ea6\u675f\u4f20\u9012 (Propagating\u00a0Constraints)","text":"<p>connector Using the Constraint System</p> Python<pre><code>&gt;&gt;&gt; celsius = connector('Celsius')\n&gt;&gt;&gt; fahrenheit = connector('Fahrenheit')\n&gt;&gt;&gt; def converter(c, f):\n    \"\"\"\u7528\u7ea6\u675f\u6761\u4ef6\u8fde\u63a5 c \u5230 f\uff0c\u5c06\u6444\u6c0f\u5ea6\u8f6c\u6362\u4e3a\u534e\u6c0f\u5ea6.\"\"\"\n    u, v, w, x, y = [connector() for _ in range(5)]\n    multiplier(c, w, u)\n    multiplier(v, x, u)\n    adder(v, y, f)\n    constant(w, 9)\n    constant(x, 5)\n    constant(y, 32)\n&gt;&gt;&gt; converter(celsius, fahrenheit)\n\n&gt;&gt;&gt; celsius['set_val']('user', 25)\nCelsius = 25\nFahrenheit = 77.0\n\n&gt;&gt;&gt; fahrenheit['set_val']('user', 212)\nContradiction detected: 77.0 vs 212\n\n&gt;&gt;&gt; celsius['forget']('user')\nCelsius is forgotten\nFahrenheit is forgotten\n\n&gt;&gt;&gt; fahrenheit['set_val']('user', 212)\nFahrenheit = 212\nCelsius = 100.0\n\n# Implementing the Constraint System\n&gt;&gt;&gt; connector ['set_val'](source, value)  \"\"\"\u8868\u793a\u00a0source\u00a0\u5728\u8bf7\u6c42\u8fde\u63a5\u5668\u5c06\u5f53\u524d\u503c\u8bbe\u4e3a value\"\"\"\n&gt;&gt;&gt; connector ['has_val']()\u00a0 \"\"\"\u8fd4\u56de\u8fde\u63a5\u5668\u662f\u5426\u5df2\u7ecf\u5177\u6709\u503c\"\"\"\n&gt;&gt;&gt; connector ['val']  \"\"\"\u662f\u8fde\u63a5\u5668\u7684\u5f53\u524d\u503c\"\"\"\n&gt;&gt;&gt; connector ['forget'](source)\u00a0 \"\"\"\u544a\u8bc9\u8fde\u63a5\u5668 source \u8bf7\u6c42\u9057\u5fd8\u5b83\u7684\u503c\"\"\"\n&gt;&gt;&gt; connector ['connect'](source)\u00a0 \"\"\"\u544a\u8bc9\u8fde\u63a5\u5668\u53c2\u4e0e\u65b0\u7684\u7ea6\u675f\uff0c\u5373 source\"\"\"\n&gt;&gt;&gt; constraint['new_val']()  \"\"\"\u8868\u793a\u4e0e\u7ea6\u675f\u76f8\u8fde\u7684\u67d0\u4e2a\u8fde\u63a5\u5668\u5177\u6709\u65b0\u7684\u503c\u3002\"\"\"\n&gt;&gt;&gt; constraint['forget']()\u00a0 \"\"\"\u8868\u793a\u4e0e\u7ea6\u675f\u76f8\u8fde\u7684\u67d0\u4e2a\u8fde\u63a5\u5668\u9057\u5fd8\u4e86\u503c\u3002\"\"\"\n\n&gt;&gt;&gt; from operator import add, sub\n&gt;&gt;&gt; def adder(a, b, c):\n        \"\"\"\u7ea6\u675f a+b=c\"\"\"\n        return make_ternary_constraint(a, b, c, add, sub, sub)\n\n&gt;&gt;&gt; def make_ternary_constraint(a, b, c, ab, ca, cb):\n    \"\"\"\u7ea6\u675f ab(a,b)=c\uff0cca(c,a)=b\uff0ccb(c,b)=a\"\"\"\n    def new_value():\n        av, bv, cv = [connector['has_val']() for connector in (a, b, c)]\n        if av and bv:\n            c['set_val'](constraint, ab(a['val'], b['val']))\n        elif av and cv:\n            b['set_val'](constraint, ca(c['val'], a['val']))\n        elif bv and cv:\n            a['set_val'](constraint, cb(c['val'], b['val']))\n    def forget_value():\n        for connector in (a, b, c):\n            connector['forget'](constraint)\n    constraint = {'new_val': new_value, 'forget': forget_value}\n    for connector in (a, b, c):\n        connector['connect'](constraint)\n    return constraint\n\n&gt;&gt;&gt; from operator import mul, truediv\n&gt;&gt;&gt; def multiplier(a, b, c):\n        \"\"\"\u7ea6\u675f a*b=c\"\"\"\n        return make_ternary_constraint(a, b, c, mul, truediv, truediv)\n\n&gt;&gt;&gt; def constant(connector, value):\n    \"\"\"\u5e38\u91cf\u8d4b\u503c\"\"\"\n    constraint = {}\n    connector['set_val'](constraint, value)\n    return constraint\n\n# Representing connectors\n&gt;&gt;&gt; def connector(name=None):\n    \"\"\"\u9650\u5236\u6761\u4ef6\u4e4b\u95f4\u7684\u8fde\u63a5\u5668\"\"\"\n    informant = None\n    constraints = []\n    def set_value(source, value):\n        nonlocal informant\n        val = connector['val']\n        if val is None:\n            informant, connector['val'] = source, value\n            if name is not None:\n                print(name, '=', value)\n            inform_all_except(source, 'new_val', constraints)\n        else:\n            if val != value:\n                print('Contradiction detected:', val, 'vs', value)\n    def forget_value(source):\n        nonlocal informant\n        if informant == source:\n            informant, connector['val'] = None, None\n            if name is not None:\n                print(name, 'is forgotten')\n            inform_all_except(source, 'forget', constraints)\n    connector = {'val': None,\n                 'set_val': set_value,\n                 'forget': forget_value,\n                 'has_val': lambda: connector['val'] is not None,\n                 'connect': lambda source: constraints.append(source)}\n    return connector\n\n&gt;&gt;&gt; def inform_all_except(source, message, constraints):\n    \"\"\"\u544a\u77e5\u4fe1\u606f\u9664\u4e86 source \u5916\u7684\u6240\u6709\u7ea6\u675f\u6761\u4ef6\"\"\"\n    for c in constraints:\n        if c != source:\n            c[message]()\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#25","title":"2.5 \u9762\u5411\u5bf9\u8c61\u7f16\u7a0b","text":"<ul> <li>object</li> <li>dot notation</li> <li>class</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#251","title":"2.5.1 \u5bf9\u8c61\u548c\u7c7b","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#252","title":"2.5.2 \u7c7b\u7684\u5b9a\u4e49","text":"<p>__init__\u7c7b\u7684\u6784\u9020\u51fd\u6570\uff08constructor\uff09</p> Python<pre><code>&gt;&gt;&gt; class Account:\n        def __init__(self, account_holder):\n            self.balance = 0\n            self.holder = account_holder\n        def deposit(self, amount):\n            self.balance = self.balance + amount\n            return self.balance\n        def withdraw(self, amount):\n            if amount &gt; self.balance:\n                return 'Insufficient funds'\n            self.balance = self.balance - amount\n            return self.balance\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#253","title":"2.5.3 \u6d88\u606f\u4f20\u9012\u548c\u70b9\u8868\u8fbe\u5f0f","text":"Python<pre><code>&gt;&gt;&gt; getattr(spock_account, 'balance')\n10\n&gt;&gt;&gt; hasattr(spock_account, 'deposit')\nTrue\n\n\n&gt;&gt;&gt; type(Account.deposit)\n&lt;class 'Function'&gt;\n&gt;&gt;&gt; type(spock_account.deposit)\n&lt;class 'method'&gt;\n# \u4e3a\u7c7b\u7684\u5c5e\u6027\uff0c\u65b9\u6cd5\u53ea\u662f\u4e00\u4e2a\u51fd\u6570\uff0c\u4f46\u4f5c\u4e3a\u5b9e\u4f8b\u7684\u5c5e\u6027\uff0c\u5b83\u662f\u4e00\u4e2a\u7ed1\u5b9a\u65b9\u6cd5\n\n&gt;&gt;&gt; Account.deposit(spock_account, 1001)    # \u51fd\u6570 deposit \u63a5\u53d7\u4e24\u4e2a\u53c2\u6570\n1011\n&gt;&gt;&gt; spock_account.deposit(1000)             # \u65b9\u6cd5 deposit \u63a5\u53d7\u4e00\u4e2a\u53c2\u6570\n2011\n</code></pre> <p>\u547d\u540d\u7ea6\u5b9a\uff1a\u7c7b\u540d\u901a\u5e38\u4f7f\u7528 CapWords \u7ea6\u5b9a\uff08\u4e5f\u79f0\u4e3a CamelCase\uff0c\u56e0\u4e3a\u540d\u79f0\u4e2d\u95f4\u7684\u5927\u5199\u5b57\u6bcd\u770b\u8d77\u6765\u50cf\u9a7c\u5cf0\uff09\u7f16\u5199\u3002\u65b9\u6cd5\u540d\u79f0\u9075\u5faa\u4f7f\u7528\u4e0b\u5212\u7ebf\u5206\u9694\u7684\u5c0f\u5199\u5355\u8bcd\u547d\u540d\u51fd\u6570\u7684\u6807\u51c6\u7ea6\u5b9a\u3002</p> <p>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6709\u4e00\u4e9b\u5b9e\u4f8b\u53d8\u91cf\u548c\u65b9\u6cd5\u4e0e\u5bf9\u8c61\u7684\u7ef4\u62a4\u548c\u4e00\u81f4\u6027\u76f8\u5173\uff0c\u6211\u4eec\u4e0d\u5e0c\u671b\u5bf9\u8c61\u7684\u7528\u6237\u770b\u5230\u6216\u4f7f\u7528\u3002\u5b83\u4eec\u4e0d\u662f\u7c7b\u5b9a\u4e49\u7684\u62bd\u8c61\u7684\u4e00\u90e8\u5206\uff0c\u800c\u662f\u5b9e\u73b0\u7684\u4e00\u90e8\u5206\u3002Python \u7684\u7ea6\u5b9a\u89c4\u5b9a\uff0c\u5982\u679c\u5c5e\u6027\u540d\u79f0\u4ee5\u4e0b\u5212\u7ebf\u5f00\u5934\uff0c\u5219\u53ea\u80fd\u5728\u7c7b\u672c\u8eab\u7684\u65b9\u6cd5\u4e2d\u8bbf\u95ee\u5b83\uff0c\u800c\u4e0d\u662f\u7528\u6237\u8bbf\u95ee\u3002</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#254","title":"2.5.4 \u7c7b\u5c5e\u6027","text":"<p>\u611f\u89c9\u6ca1\u4ec0\u4e48\u7528:</p> Python<pre><code>&gt;&gt;&gt; Account.interest = 0.05     # \u6539\u53d8\u7c7b\u5c5e\u6027\n&gt;&gt;&gt; spock_account.interest      # \u5b9e\u4f8b\u5c5e\u6027\u53d1\u751f\u53d8\u5316\uff08\u8be5\u5b9e\u4f8b\u4e2d\u6ca1\u6709\u548c\u7c7b\u5c5e\u6027\u540c\u540d\u79f0\u7684\u5b9e\u4f8b\u5c5e\u6027\uff09\n0.05\n&gt;&gt;&gt; kirk_account.interest       # \u5982\u679c\u5b9e\u4f8b\u4e2d\u5b58\u5728\u548c\u7c7b\u5c5e\u6027\u540c\u540d\u7684\u5b9e\u4f8b\u5c5e\u6027\uff0c\u5219\u6539\u53d8\u7c7b\u5c5e\u6027\uff0c\u4e0d\u4f1a\u5f71\u54cd\u5b9e\u4f8b\u5c5e\u6027\n0.08\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#255","title":"2.5.5 \u7ee7\u627f","text":"<ul> <li>base class<ul> <li>parent class</li> <li>super class</li> </ul> </li> <li>subcladd<ul> <li>child class</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#256","title":"2.5.6 \u4f7f\u7528\u7ee7\u627f","text":"Python<pre><code>&gt;&gt;&gt; class Account:\n        \"\"\"\u4e00\u4e2a\u4f59\u989d\u975e\u96f6\u7684\u8d26\u6237\u3002\"\"\"\n        interest = 0.02\n        def __init__(self, account_holder):\n            self.balance = 0\n            self.holder = account_holder\n        def deposit(self, amount):\n            \"\"\"\u5b58\u5165\u8d26\u6237 amount\uff0c\u5e76\u8fd4\u56de\u53d8\u5316\u540e\u7684\u4f59\u989d\"\"\"\n            self.balance = self.balance + amount\n            return self.balance\n        def withdraw(self, amount):\n            \"\"\"\u4ece\u8d26\u53f7\u4e2d\u53d6\u51fa amount\uff0c\u5e76\u8fd4\u56de\u53d8\u5316\u540e\u7684\u4f59\u989d\"\"\"\n            if amount &gt; self.balance:\n                return 'Insufficient funds'\n            self.balance = self.balance - amount\n            return self.balance\n\n&gt;&gt;&gt; class CheckingAccount(Account):\n        \"\"\"\u4ece\u8d26\u53f7\u53d6\u94b1\u4f1a\u6263\u51fa\u624b\u7eed\u8d39\u7684\u8d26\u53f7\"\"\"\n           withdraw_charge = 1\n           interest = 0.01\n           def withdraw(self, amount):\n                 return Account.withdraw(self, amount + self.withdraw_charge)\n</code></pre> <p>\u63a5\u53e3</p> Python<pre><code>&gt;&gt;&gt; def deposit_all(winners, amount=5):\n        for account in winners:\n            account.deposit(amount)         # \u8fd9\u91cc\u8c03\u7528\u7684\u662f\u5b9e\u4f8b account \u7684 deposit \u65b9\u6cd5\n            # \u5bf9\u4e8e\u4e0d\u540c\u5b9e\u4f8b\u6765\u8bf4\uff0c\u5b83\u4eec\u7684 deposit \u65b9\u6cd5\u53ef\u80fd\u4e0d\u540c\u3002\u8fd9\u4e2a\u4f8b\u5b50\u76f8\u5bf9\u4e8e\u4e0b\u9762\u6765\u8bb2\uff0c\u66f4\u52a0\u5177\u6709\u5065\u58ee\u6027\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#257","title":"2.5.7 \u591a\u7ee7\u627f","text":"<p>\u7ee7\u627f\u6392\u5e8f\u95ee\u9898\u6ca1\u6709\u6b63\u786e\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u56e0\u4e3a\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u80fd\u66f4\u613f\u610f\u5c06\u67d0\u4e9b\u7ee7\u627f\u7c7b\u7f6e\u4e8e\u5176\u4ed6\u7c7b\u4e4b\u4e0a\u3002\u4f46\u662f\uff0c\u4efb\u4f55\u652f\u6301\u591a\u91cd\u7ee7\u627f\u7684\u7f16\u7a0b\u8bed\u8a00\u90fd\u5fc5\u987b\u4ee5\u4e00\u81f4\u7684\u65b9\u5f0f\u9009\u62e9\u67d0\u4e9b\u6392\u5e8f\uff0c\u4ee5\u4fbf\u8be5\u8bed\u8a00\u7684\u7528\u6237\u53ef\u4ee5\u9884\u6d4b\u5176\u7a0b\u5e8f\u7684\u884c\u4e3a\u3002</p> <p>\u8fdb\u4e00\u6b65\u9605\u8bfb\u3002Python \u4f7f\u7528\u79f0\u4e3a C3 \u65b9\u6cd5\u89e3\u6790\u6392\u5e8f\u7684\u9012\u5f52\u7b97\u6cd5\u89e3\u6790\u6b64\u540d\u79f0\u3002\u53ef\u4ee5\u5728\u6240\u6709\u7c7b\u4e0a\u4f7f\u7528\u00a0<code>mro</code>\u00a0\u65b9\u6cd5\u67e5\u8be2\u4efb\u4f55\u7c7b\u7684\u65b9\u6cd5\u89e3\u6790\u987a\u5e8f\u3002</p> Python<pre><code>&gt;&gt;&gt; [c.__name__ for c in AsSeenOnTVAccount.mro()]\n['AsSeenOnTVAccount', 'CheckingAccount', 'SavingsAccount', 'Account', 'object']\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#258","title":"2.5.8 \u5bf9\u8c61\u7684\u4f5c\u7528","text":"<p>\u53e6\u4e00\u65b9\u9762\uff0c\u7c7b\u53ef\u80fd\u4e0d\u662f\u5b9e\u73b0\u67d0\u4e9b\u62bd\u8c61\u7684\u6700\u4f73\u673a\u5236\u3002\u51fd\u6570\u5f0f\u62bd\u8c61\u63d0\u4f9b\u4e86\u4e00\u4e2a\u66f4\u81ea\u7136\u7684\u9690\u55bb\u6765\u8868\u793a\u8f93\u5165\u548c\u8f93\u51fa\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u6211\u4eec\u4e0d\u5e94\u8be5\u89c9\u5f97\u5fc5\u987b\u5c06\u7a0b\u5e8f\u4e2d\u7684\u6bcf\u4e00\u70b9\u903b\u8f91\u90fd\u585e\u8fdb\u4e00\u4e2a\u7c7b\u4e2d\uff0c\u5c24\u5176\u662f\u5728\u5b9a\u4e49\u72ec\u7acb\u51fd\u6570\u6765\u64cd\u4f5c\u6570\u636e\u66f4\u81ea\u7136\u7684\u60c5\u51b5\u4e0b\u3002\u51fd\u6570\u8fd8\u53ef\u4ee5\u5f3a\u5236\u5b9e\u73b0\u5173\u6ce8\u70b9\u7684\u5206\u79bb\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u51fd\u6570\u5f0f\u7f16\u7a0b\u63d0\u4f9b\u4e86\u53e6\u4e00\u79cd\u6709\u6548\u5730\u7ec4\u7ec7\u7a0b\u5e8f\u903b\u8f91\u7684\u65b9\u6cd5\uff0c\u4f7f\u5f97\u7a0b\u5e8f\u5458\u80fd\u591f\u66f4\u597d\u5730\u5904\u7406\u548c\u7ef4\u62a4\u7a0b\u5e8f\u3002\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u4f7f\u7528\u51fd\u6570\u5f0f\u7f16\u7a0b\u65b9\u6cd5\u53ef\u80fd\u6bd4\u4f7f\u7528\u9762\u5411\u5bf9\u8c61\u7f16\u7a0b\u66f4\u81ea\u7136\u548c\u6709\u6548\u3002</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#26","title":"2.6 \u5b9e\u73b0\u7c7b\u548c\u5bf9\u8c61","text":"<p>object-oriented programming paradigm \u5373\u4f7f\u5728\u6ca1\u6709\u5185\u7f6e\u5bf9\u8c61\u7cfb\u7edf\u7684\u7f16\u7a0b\u8bed\u8a00\u4e2d\uff0c\u7a0b\u5e8f\u4e5f\u53ef\u4ee5\u662f\u9762\u5411\u5bf9\u8c61\u7684\u3002 \u653e\u5f03\u70b9\u8868\u793a\u6cd5-&gt;\u8c03\u5ea6\u5b57\u5178\u5b9e\u73b0\u6d88\u606f\u4f20\u9012</p>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#261","title":"2.6.1 \u5b9e\u4f8b","text":"Python<pre><code>&gt;&gt;&gt; def make_instance(cls):\n    \"\"\"Return a new object instance, which is a dispatch dictionary.\"\"\"\n    def get_value(name):\n        if name in attributes:\n            return attributes[name]\n        else:\n            value = cls['get'](name)\n            return bind_method(value, instance)\n    def set_value(name, value):\n        attributes[name] = value\n    attributes = {}\n    instance = {'get': get_value, 'set': set_value}\n    return instance\n\n&gt;&gt;&gt; def bind_method(value, instance):\n    \"\"\"Return a bound method if value is callable, or value otherwise.\"\"\"\n    if callable(value):\n        def method(*args):\n            return value(instance, *args)\n        return method\n    else:\n        return value\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#262","title":"2.6.2 \u7c7b","text":"Python<pre><code>&gt;&gt;&gt; def make_class(attributes, base_class=None):\n    \"\"\"Return a new class, which is a dispatch dictionary.\"\"\"\n    def get_value(name):\n        if name in attributes:\n            return attributes[name]\n        elif base_class is not None:\n            return base_class['get'](name)\n    def set_value(name, value):\n        attributes[name] = value\n    def new(*args):\n        return init_instance(cls, *args)\n    cls = {'get': get_value, 'set': set_value, 'new': new}\n    return cls\n\n&gt;&gt;&gt; def init_instance(cls, *args):\n    \"\"\"Return a new object with type cls, initialized with args.\"\"\"\n    instance = make_instance(cls)\n    init = cls['get']('__init__')\n    if init:\n        init(instance, *args)\n    return instance\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#3","title":"3 \u8ba1\u7b97\u673a\u7a0b\u5e8f\u7684\u89e3\u91ca","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#31","title":"3.1 \u5f15\u8a00","text":"<p>\u8bb8\u591a\u89e3\u91ca\u5668\u90fd\u6709\u4e00\u4e2a\u4f18\u96c5\u7684\u7ed3\u6784\uff0c\u5373\u4e24\u4e2a\u4e92\u9012\u5f52\u51fd\u6570\uff1a</p> <ul> <li>\u7b2c\u4e00\u4e2a\u51fd\u6570\u6c42\u89e3\u73af\u5883\u4e2d\u7684\u8868\u8fbe\u5f0f</li> <li>\u7b2c\u4e8c\u4e2a\u51fd\u6570\u5c06\u51fd\u6570\u5e94\u7528\u4e8e\u53c2\u6570</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#32","title":"3.2 \u51fd\u6570\u5f0f\u7f16\u7a0b","text":"<ul> <li>\u53ea\u4f7f\u7528\u8868\u8fbe\u5f0f\u800c\u4e0d\u4f7f\u7528\u8bed\u53e5\uff0c\u7279\u522b\u9002\u5408\u7b26\u53f7\u8ba1\u7b97</li> <li>\u5904\u7406\u7684\u6570\u636e\u90fd\u662f\u4e0d\u53ef\u53d8\u7684\uff08immutable\uff09</li> </ul> Python<pre><code>(if &lt;predicate&gt; &lt;consequent&gt; &lt;alternative&gt;)\n\n(define pi 3.14)\n(* pi 3.14)\n\n(define (&lt;name&gt; &lt;formal parameters&gt;) &lt;body&gt;)\neg1:\n    (define (average x y)\n      (/ (+ x y) 2))\neg2:\n    (define (abs x)\n    (if (&lt; x 0)\n        (- x)\n        x))\neg3:\n    (define (sqrt x)\n      (define (good-enough? guess)\n        (&lt; (abs (- (square guess) x)) 0.001))\n      (define (improve guess)\n        (average guess (/ x guess)))\n      (define (sqrt-iter guess)\n        (if (good-enough? guess)\n            guess\n            (sqrt-iter (improve guess))))\n      (sqrt-iter 1.0))\n    (sqrt 9)\n\n(lambda (&lt;formal-parameters&gt;) &lt;body&gt;)\neg1:\n    (define (plus4 x) (+ x 4))\n    (define plus4 (lambda (x) (+ x 4))) # both are OK\n\n# \u7279\u6b8a\u7684\u503c\u00a0nil\u00a0\u6216\u00a0'()\u00a0\u8868\u793a\u7a7a\u5217\u8868\n\n# null? \u8c13\u8bcd\u7684\u4f7f\u7528:\n    (define (length items)\n      (if (null? items)\n          0\n          (+ 1 (length (cdr items)))))\n    (define (getitem items n)\n      (if (= n 0)\n          (car items)\n          (getitem (cdr items) (- n 1))))\n    (define squares (list 1 4 9 16 25))\n\n    (length squares)\n\n    (getitem squares 3)\n\n# \u4efb\u4f55\u4e0d\u88ab\u6c42\u503c\u7684\u8868\u8fbe\u5f0f\u90fd\u88ab\u79f0\u4e3a\u88ab\u5f15\u7528\n    (list 'define 'list)\n\n# turtle\u4f7f\u7528+\u9012\u5f52\u753b\u56fe\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#33","title":"3.3 \u5f02\u5e38","text":"<ul> <li>raise</li> <li>assert</li> </ul> Python<pre><code>&gt;&gt;&gt; raise Exception(' An error occurred')\nTraceback (most recent call last):\n    File \"&lt;stdin&gt;\", line 1, in &lt;module&gt;\nException: an error occurred\n</code></pre> <ul> <li>raising an exception<ul> <li>read-eval-print-loop \u5373 REPL</li> <li>stack backtrace</li> </ul> </li> <li>handling exceptions</li> </ul> Python<pre><code>try\n    &lt;try suite&gt;\nexcept &lt;exception class&gt; as &lt;name&gt;:\n    &lt;except suite&gt;\n</code></pre> <p>\u5f02\u5e38\u662f\u4e2a\u7c7b\uff0c\u53ef\u4ee5\u6709\u989d\u5916\u7684\u5c5e\u6027\uff0c\u53ef\u4ee5\u907f\u514d\u62a5\u9519\uff0c\u8ba9\u7a0b\u5e8f\u7ed9\u51fa\u4e00\u4e2a\u8f83\u4e3a\u7c97\u7cd9\u7684\u503c\uff1a</p> Python<pre><code>&gt;&gt;&gt; class IterImproveError(Exception):\n\u00a0\u00a0\u00a0     def __init__(self, last_guess):\n\u00a0\u00a0\u00a0         self.last_guess = last_guess\n&gt;&gt;&gt; def improve(update, done, guess=1, max_updates=1000):\n\u00a0\u00a0\u00a0     k = 0\n\u00a0\u00a0\u00a0     try:\n\u00a0\u00a0\u00a0         while not done(guess) and k &lt; max_updates:\n\u00a0\u00a0\u00a0             guess = update(guess)\n\u00a0\u00a0\u00a0             k = k + 1\n\u00a0\u00a0\u00a0         return guess\n\u00a0\u00a0\u00a0     except ValueError:\n\u00a0\u00a0\u00a0         raise IterImproveError(guess)\n&gt;&gt;&gt; def find_zero(f, guess=1):\n\u00a0\u00a0\u00a0     def done(x):\n\u00a0\u00a0\u00a0         return f(x) == 0\n\u00a0\u00a0\u00a0     try:\n\u00a0\u00a0\u00a0         return improve(newton_update(f), done, guess)\n\u00a0\u00a0\u00a0     except IterImproveError as e:\n\u00a0\u00a0\u00a0         return e.last_guess\n&gt;&gt;&gt; from math import sqrt\n&gt;&gt;&gt; find_zero(lambda x: 2*x*x + sqrt(x))\n-0.030211203830201594\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#34","title":"3.4 \u7ec4\u5408\u8bed\u8a00\u7684\u89e3\u91ca\u5668","text":"<ul> <li>\u8ba1\u7b97\u5668\u8bed\u8a00 -&gt; \u7b80\u7565\u89e3\u91ca\u5668</li> <li>scheme \u5bf9<ul> <li>pair</li> <li>nil</li> </ul> </li> <li>\u8868\u8fbe\u5f0f\u6811</li> <li>\u89e3\u6790\u8868\u8fbe\u5f0f\u6811<ul> <li>\u8bcd\u6cd5\u5206\u6790\u5668\uff08lexical analyzer\uff09/ \u5206\u8bcd\u5668\uff08tokenizer\uff09<ul> <li>\u6807\u8bb0\uff08token\uff09</li> </ul> </li> <li>\u8bed\u6cd5\u5206\u6790\u5668\uff08syntactic analyzer\uff09<ul> <li>\u6570\u5b57\u548c\u8c03\u7528\u8868\u8fbe\u5f0f \u8bb2\u4e86\u4e00\u4e0b\u8ba1\u7b97\u5668\u89e3\u91ca\u5668\u4ea4\u4e92\u5f0f\u9875\u9762\u7684\u8868\u8fbe\u5f0f\u5982\u4f55\u8ba1\u7b97\u548c\u5f02\u5e38\u5904\u7406</li> </ul> </li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#35","title":"3.5 \u62bd\u8c61\u8bed\u8a00\u7684\u89e3\u91ca\u5668","text":"<ul> <li>\u6269\u5c55 scheme_reader \u89e3\u6790\u70b9\u5217\u8868\u548c\u5f15\u53f7</li> <li>\u6c42\u503c\uff08Evaluation\uff09</li> <li>\u51fd\u6570\u5e94\u7528\uff08Procedure application\uff09</li> <li>\u6c42\u503c/\u5e94\u7528\u9012\u5f52</li> <li>\u6570\u636e\u5373\u7a0b\u5e8f</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#4","title":"4 \u6570\u636e\u5904\u7406","text":""},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#41","title":"4.1 \u5f15\u8a00","text":"<ul> <li>pipelines</li> <li>sequence interface</li> <li>unbounded</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#42","title":"4.2 \u9690\u5f0f\u5e8f\u5217","text":"<ul> <li>\u6211\u4eec\u53ea\u5728\u6709\u9700\u8981\u7684\u65f6\u5019\u624d\u8ba1\u7b97\u5143\u7d20</li> <li>Lazy computation</li> </ul>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#421","title":"4.2.1 \u8fed\u4ee3\u5668","text":"<p>\u4e24\u4e2a\u7ec4\u4ef6:</p> <ul> <li>\u68c0\u7d22\u4e0b\u4e00\u4e2a\u5143\u7d20\u7684\u673a\u5236</li> <li>\u5230\u8fbe\u5e8f\u5217\u672b\u5c3e\u5e76\u4e14\u6ca1\u6709\u5269\u4f59\u5143\u7d20\uff0c\u53d1\u51fa\u4fe1\u53f7\u7684\u673a\u5236</li> </ul> Python<pre><code>&gt;&gt;&gt; next(iterator)\n7\n&gt;&gt;&gt; next(iterator)\nTraceback (most recent call las):\n  File \"&lt;stdin&gt;\", line 1, in &lt;module&gt;\nStopIteration\n\n&gt;&gt;&gt; try:\n        next(iterator)\n    except StopIteration:\n        print('No more values')\nNo more values\n</code></pre>"},{"location":"CS%20basic/cs61a/COMPOSING%20PROGRAMS/#422","title":"4.2.2 \u53ef\u8fed\u4ee3\u6027","text":"<p>iterable value \u53ef\u8fed\u4ee3\u5bf9\u8c61:</p> <ul> <li>\u5e8f\u5217\u503c: string &amp; tuples</li> <li>\u5bb9\u5668: sets &amp; Dictionaries</li> </ul>"},{"location":"CS%20basic/cs61a/cs61a/","title":"Cs61a","text":"<p> \u7ea6 23 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>\u4ed6\u4eba\u603b\u7ed3</li> <li>https://github.com/HobbitQia/CS61A-Fall-2020/tree/main</li> <li>\u6559\u6750\u7ffb\u8bd1\u7248</li> <li>\u539f\u6559\u6750</li> <li>\u8bfe\u7a0b\u7f51\u7ad9\u5b58\u6863</li> <li>https://github.com/shuo-liu16/CS61A<ul> <li>scheme\u624b\u518c</li> </ul> </li> </ul>"},{"location":"CS%20basic/cs61c/cs61c/","title":"Cs61c","text":"<p> \u7ea6 21 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>https://github.com/Yan-J-lee/cs61c-projects/blob/master</li> <li>https://github.com/FeiNiaoBF/Fa22-Cs61c-proj3</li> <li>https://github.com/PKUFlyingPig/CS61C-summer20</li> <li>https://github.com/Ch-EnShen/cs61c-all-materials</li> <li>https://www.learncs.site/docs/curriculum-resource/cs61c</li> <li>note1</li> <li>CS61C\u81ea\u5b66\u5c0f\u7ed3</li> <li>\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u7b14\u8bb0</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/","title":"Cs61c lec06","text":"<p> \u7ea6 1228 \u4e2a\u5b57  18 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p> <p><code>lec06.pdf</code> \u6587\u4ef6\u662f\u5173\u4e8e RISC-V \u6c47\u7f16\u8bed\u8a00\u548c\u6307\u4ee4\u96c6\u67b6\u6784\u7684\u5165\u95e8\u8bfe\u7a0b\uff0c\u4ee5\u4e0b\u662f\u8be5\u8bfe\u7a0b\u7684\u8be6\u7ec6\u5185\u5bb9:</p>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#1","title":"1. \u6c47\u7f16\u8bed\u8a00\u7b80\u4ecb","text":"<ul> <li>\u6c47\u7f16\u8bed\u8a00\u662f\u4e00\u79cd\u4f4e\u7ea7\u7f16\u7a0b\u8bed\u8a00\uff0c\u5b83\u4e0e\u7279\u5b9a\u7684\u786c\u4ef6\u67b6\u6784\u7d27\u5bc6\u76f8\u5173\u3002</li> <li>\u6c47\u7f16\u8bed\u8a00\u7a0b\u5e8f\u9700\u8981\u901a\u8fc7\u6c47\u7f16\u5668\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u7a0b\u5e8f\uff0c\u4ee5\u4fbf CPU \u6267\u884c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#2","title":"2. \u9ad8\u7ea7\u8bed\u8a00\u4e0e\u6c47\u7f16\u8bed\u8a00","text":"<ul> <li>\u9ad8\u7ea7\u8bed\u8a00\uff08\u5982 C\u3001Java\uff09\u7f16\u5199\u7684\u7a0b\u5e8f\u9700\u8981\u7f16\u8bd1\u5668\u8f6c\u6362\u6210\u6c47\u7f16\u8bed\u8a00\uff0c\u518d\u7531\u6c47\u7f16\u5668\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u3002</li> <li>\u6c47\u7f16\u8bed\u8a00\u4e0e\u786c\u4ef6\u67b6\u6784\uff08\u5982 RISC-V\uff09\u76f4\u63a5\u76f8\u5173\uff0c\u63d0\u4f9b\u4e86\u5bf9\u786c\u4ef6\u7684\u76f4\u63a5\u63a7\u5236\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#3","title":"3. \u62bd\u8c61\u7684\u6982\u5ff5","text":"<ul> <li>\u62bd\u8c61\u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u7684\u4e00\u4e2a\u57fa\u672c\u6982\u5ff5\uff0c\u5141\u8bb8\u6211\u4eec\u5728\u4e0d\u540c\u7684\u5c42\u6b21\u4e0a\u7406\u89e3\u548c\u5b9e\u73b0\u7a0b\u5e8f\u3002</li> <li>\u4f8b\u5982\uff0c\u4ece\u9ad8\u7ea7\u8bed\u8a00\u5230\u6c47\u7f16\u8bed\u8a00\u518d\u5230\u673a\u5668\u8bed\u8a00\uff0c\u6bcf\u4e2a\u5c42\u6b21\u90fd\u662f\u5bf9\u4e0b\u4e00\u5c42\u7684\u62bd\u8c61\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#4-risc-v","title":"4. RISC-V \u67b6\u6784","text":"<ul> <li>RISC-V \u662f\u4e00\u79cd\u5f00\u6e90\u3001\u65e0\u8bb8\u53ef\u8d39\u7528\u7684\u6307\u4ee4\u96c6\u67b6\u6784\uff08ISA\uff09\u3002</li> <li>\u5b83\u652f\u6301 32 \u4f4d\u300164 \u4f4d\u548c 128 \u4f4d\u53d8\u4f53\u3002</li> <li>RISC-V \u65e8\u5728\u652f\u6301\u5f00\u653e\u7684\u7814\u7a76\u548c\u6559\u5b66\uff0c\u7531\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u5728 2010 \u5e74\u53d1\u8d77\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#5-risc-v","title":"5. \u4e3a\u4ec0\u4e48\u9009\u62e9 RISC-V","text":"<ul> <li>RISC-V \u7b80\u5355\u6613\u5b66\uff0c\u9002\u5408\u4f5c\u4e3a\u5b66\u4e60\u5176\u4ed6\u6c47\u7f16\u8bed\u8a00\u7684\u57fa\u7840\u3002</li> <li>\u5b66\u4e60 RISC-V \u53ef\u4ee5\u5e2e\u52a9\u7406\u89e3\u5176\u4ed6 CPU \u67b6\u6784\u548c\u6c47\u7f16\u8bed\u8a00\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#6","title":"6. \u5bc4\u5b58\u5668","text":"<ul> <li>\u5bc4\u5b58\u5668\u662f CPU \u5185\u90e8\u7684\u5c0f\u578b\u5b58\u50a8\u5355\u5143\uff0c\u7528\u4e8e\u5b58\u50a8\u6307\u4ee4\u6267\u884c\u8fc7\u7a0b\u4e2d\u7684\u4e34\u65f6\u6570\u636e\u3002</li> <li>RISC-V \u6709 32 \u4e2a\u5bc4\u5b58\u5668\uff08x0 \u5230 x31\uff09\uff0c\u6bcf\u4e2a\u5bc4\u5b58\u5668\u90fd\u662f 32 \u4f4d\u5bbd\u3002</li> <li>\u5bc4\u5b58\u5668\u7684\u8bbf\u95ee\u901f\u5ea6\u6bd4\u5185\u5b58\u5feb\u5f97\u591a\uff0c\u56e0\u4e3a\u5b83\u4eec\u4f4d\u4e8e CPU \u5185\u90e8\u3002\\</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#7","title":"7. \u5bc4\u5b58\u5668\u7684\u4f7f\u7528","text":"<ul> <li>\u5bc4\u5b58\u5668\u7528\u4e8e\u5b58\u50a8\u6307\u4ee4\u6267\u884c\u6240\u9700\u7684\u6570\u636e\uff0c\u5982\u53d8\u91cf\u548c\u4e2d\u95f4\u7ed3\u679c\u3002</li> <li>\u4e0e\u9ad8\u7ea7\u8bed\u8a00\u4e2d\u7684\u53d8\u91cf\u4e0d\u540c\uff0c\u5bc4\u5b58\u5668\u6ca1\u6709\u7c7b\u578b\uff0c\u53ef\u4ee5\u5b58\u50a8\u4efb\u4f55\u7c7b\u578b\u7684\u6570\u636e\u3002</li> <li>x0 \u5bc4\u5b58\u5668\u662f\u4e00\u4e2a\u7279\u6b8a\u7684\u5bc4\u5b58\u5668\uff0c\u5b83\u603b\u662f\u5305\u542b\u503c 0\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#8","title":"8. \u5bc4\u5b58\u5668\u4e0e\u5185\u5b58\u7684\u901f\u5ea6\u6bd4\u8f83","text":"<ul> <li>\u5bc4\u5b58\u5668\u6bd4\u5185\u5b58\u5feb\u7ea6 50-500 \u500d\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u7269\u7406\u4f4d\u7f6e\u548c\u5927\u5c0f\u3002</li> <li>\u5185\u5b58\u867d\u7136\u5bb9\u91cf\u5927\uff0c\u4f46\u8bbf\u95ee\u901f\u5ea6\u6162\u4e8e\u5bc4\u5b58\u5668\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#9","title":"9. \u6c47\u7f16\u8bed\u8a00\u4e2d\u7684\u6ce8\u91ca","text":"<ul> <li>\u6ce8\u91ca\u5bf9\u4e8e\u7406\u89e3\u6c47\u7f16\u4ee3\u7801\u81f3\u5173\u91cd\u8981\uff0c\u5c24\u5176\u662f\u5728\u590d\u6742\u7684\u64cd\u4f5c\u4e2d\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#10","title":"10. \u6c47\u7f16\u6307\u4ee4\u793a\u4f8b","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528\u6c47\u7f16\u6307\u4ee4\u6267\u884c\u57fa\u672c\u7684\u7b97\u672f\u64cd\u4f5c\uff0c\u5982\u52a0\u6cd5\u548c\u51cf\u6cd5\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#11-immediates","title":"11. \u7acb\u5373\u6570\uff08Immediates\uff09","text":"<ul> <li>\u7acb\u5373\u6570\u7528\u4e8e\u5728\u6c47\u7f16\u6307\u4ee4\u4e2d\u63d0\u4f9b\u6570\u503c\u5e38\u91cf\u3002</li> <li>RISC-V \u4e2d\u7684\u7acb\u5373\u6570\u64cd\u4f5c\u9650\u5236\u5728 12 \u4f4d\uff0c\u5e76\u4e14\u4f1a\u8fdb\u884c\u7b26\u53f7\u6269\u5c55\u5230 32 \u4f4d\u3002</li> <li> extension \u4fdd\u8bc1\u503c\u4e0d\u53d8</li> <li>add is for registers</li> <li>addi is for immediates</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#12","title":"12. \u5185\u5b58","text":"<ul> <li>\u5185\u5b58\u662f CPU \u5916\u90e8\u7684\u5b58\u50a8\u8bbe\u5907\uff0c\u5bb9\u91cf\u5927\u4f46\u901f\u5ea6\u6162\u3002</li> <li>\u5185\u5b58\u7528\u4e8e\u5b58\u50a8\u7a0b\u5e8f\u548c\u6570\u636e\uff0c\u4f46\u8bbf\u95ee\u901f\u5ea6\u6bd4\u5bc4\u5b58\u5668\u6162\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#13","title":"13. \u5185\u5b58\u5730\u5740","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u901a\u8fc7\u5730\u5740\u8bbf\u95ee\u5185\u5b58\u4e2d\u7684\u6570\u636e\u3002</li> <li>\u89e3\u91ca\u4e86\u5b57\u8282\u3001\u5b57\u548c\u4f4d\u7684\u5730\u5740\u8ba1\u7b97\u3002</li> <li>goldilocks principle</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#14","title":"14. \u8bbf\u95ee\u6570\u7ec4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u5728\u6c47\u7f16\u8bed\u8a00\u4e2d\u8bbf\u95ee\u6570\u7ec4\u5143\u7d20\uff0c\u5305\u62ec\u6307\u9488\u7b97\u672f\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#15","title":"15. \u4ece\u5185\u5b58\u52a0\u8f7d\u6570\u636e","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528 <code>lw</code>\uff08\u52a0\u8f7d\u5b57 load word\uff09\u6307\u4ee4\u5c06\u6570\u636e\u4ece\u5185\u5b58\u52a0\u8f7d\u5230\u5bc4\u5b58\u5668\u3002</li> <li></li> <li>\u7c7b\u4f3c\u7684\uff0cx15\u76f8\u5f53\u4e8e\u6bb5\u5730\u5740\uff0c12(3 * sizeof(int))\u76f8\u5f53\u4e8e\u504f\u79fb\u5730\u5740</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#16","title":"16. \u5b58\u50a8\u6570\u636e\u5230\u5185\u5b58","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528 <code>sw</code>\uff08\u5b58\u50a8\u5b57\uff09\u6307\u4ee4\u5c06\u6570\u636e\u4ece\u5bc4\u5b58\u5668\u5b58\u50a8\u5230\u5185\u5b58\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#17","title":"17. \u52a0\u8f7d\u548c\u5b58\u50a8\u5b57\u8282","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528 <code>lb</code>\uff08\u52a0\u8f7d\u5b57\u8282\uff09\u548c <code>sb</code>\uff08\u5b58\u50a8\u5b57\u8282\uff09\u6307\u4ee4\u5728\u5b57\u8282\u7ea7\u522b\u4e0a\u8fdb\u884c\u6570\u636e\u4f20\u8f93\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#18","title":"18. \u7b26\u53f7\u6269\u5c55","text":"<ul> <li>\u89e3\u91ca\u4e86\u5728\u52a0\u8f7d\u6570\u636e\u65f6\u5982\u4f55\u8fdb\u884c\u7b26\u53f7\u6269\u5c55\uff0c\u4ee5\u53ca\u5b83\u4e0e\u5b58\u50a8\u64cd\u4f5c\u7684\u533a\u522b\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#19","title":"19. \u903b\u8f91\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86 RISC-V \u4e2d\u7684\u903b\u8f91\u6307\u4ee4\uff0c\u5305\u62ec\u4f4d\u4e0e\uff08AND\uff09\u3001\u4f4d\u6216\uff08OR\uff09\u3001\u4f4d\u5f02\u6216\uff08XOR\uff09\u3001\u903b\u8f91\u5de6\u79fb\uff08SLL\uff09\u7b49\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#20","title":"20. \u79fb\u4f4d\u64cd\u4f5c","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528\u79fb\u4f4d\u6307\u4ee4\u6267\u884c\u7b97\u672f\u548c\u903b\u8f91\u79fb\u4f4d\u3002</li> <li></li> <li>\u5c31\u662f\u5148\u628a\u6240\u6709\u8fd0\u7b97\u7b97\u597d\uff0c\u653e\u5230\u57fa\u7840\u5730\u5740\u91cc\uff0c\u8fd9\u6837\u504f\u79fb\u5730\u5740\u5c31\u4e0d\u4f1a\u5305\u542bregister\u4e86</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#21","title":"21. \u51b3\u7b56\u5236\u5b9a\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528\u5206\u652f\u6307\u4ee4\u5728 RISC-V \u4e2d\u5b9e\u73b0\u6761\u4ef6\u5224\u65ad\uff0c\u4f8b\u5982 <code>beq</code>\uff08\u5982\u679c\u76f8\u7b49\u5219\u8df3\u8f6c\uff09\u548c <code>bne</code>\uff08\u5982\u679c\u4e0d\u76f8\u7b49\u5219\u8df3\u8f6c\uff09\u3002</li> <li></li> <li></li> <li></li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#22","title":"22. \u6807\u7b7e\u548c\u8df3\u8f6c","text":"<ul> <li>\u6807\u7b7e\u7528\u4e8e\u6807\u8bb0\u4ee3\u7801\u4e2d\u7684\u4f4d\u7f6e\uff0c\u5206\u652f\u548c\u8df3\u8f6c\u6307\u4ee4\u53ef\u4ee5\u4f7f\u7528\u6807\u7b7e\u6765\u5b9e\u73b0\u975e\u987a\u5e8f\u6267\u884c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#23","title":"23. \u5faa\u73af\u793a\u4f8b","text":"<ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728\u6c47\u7f16\u8bed\u8a00\u4e2d\u5b9e\u73b0\u5faa\u73af\uff0c\u4f7f\u7528 <code>for</code> \u5faa\u73af\u7684\u4f8b\u5b50\u8fdb\u884c\u4e86\u8bf4\u660e\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec06/#24","title":"24. \u66f4\u591a\u6307\u4ee4","text":"<ul> <li>\u63d0\u4f9b\u4e86 RISC-V \u53c2\u8003\u5361\u7247\u7684\u94fe\u63a5\uff0c\u4f9b\u8fdb\u4e00\u6b65\u5b66\u4e60\u548c\u53c2\u8003\u3002</li> </ul> <p>\u8fd9\u4efd\u8bb2\u4e49\u4e3a\u5b66\u751f\u63d0\u4f9b\u4e86 RISC-V \u6c47\u7f16\u8bed\u8a00\u7f16\u7a0b\u7684\u57fa\u7840\u77e5\u8bc6\uff0c\u6db5\u76d6\u4e86\u4ece\u57fa\u672c\u7684\u7b97\u672f\u64cd\u4f5c\u5230\u66f4\u590d\u6742\u7684\u5185\u5b58\u8bbf\u95ee\u548c\u63a7\u5236\u6d41\u6307\u4ee4\u3002\u901a\u8fc7\u8fd9\u4e9b\u77e5\u8bc6\uff0c\u5b66\u751f\u80fd\u591f\u7406\u89e3\u5e76\u5f00\u59cb\u7f16\u5199\u7b80\u5355\u7684\u6c47\u7f16\u7a0b\u5e8f\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec07/","title":"Cs61c lec07","text":"<p> \u7ea6 1071 \u4e2a\u5b57  9 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p> <p><code>lec07.pdf</code> \u6587\u4ef6\u662f\u5173\u4e8e RISC-V \u6307\u4ee4\u96c6\u548c\u5982\u4f55\u5b9e\u73b0\u51fd\u6570\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u8bfe\u7a0b\u5185\u5bb9\u3002\u4ee5\u4e0b\u662f\u8be5\u8bfe\u7a0b\u5185\u5bb9\u7684\u8be6\u7ec6\u8bb2\u89e3:</p>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#1","title":"1. \u5bc4\u5b58\u5668\u548c\u5b83\u4eec\u80fd\u5b58\u50a8\u7684\u5185\u5bb9","text":"<ul> <li>\u5bc4\u5b58\u5668:32\u4f4d\u5bbd\uff0c\u7528\u4e8e\u5b58\u50a8\u5404\u79cd\u503c\u3002</li> <li>\u53ef\u4ee5\u5b58\u50a8\u6570\u7ec4\u7684\u5f00\u59cb\u4f4d\u7f6e\u3001\u5b57\u7b26\u4e32\u3001\u6574\u6570\u503c\u7b49\u3002</li> <li>\u5bc4\u5b58\u5668\u7528\u4e8e\u5feb\u901f\u8bbf\u95ee\u548c\u5904\u7406\u6570\u636e\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#2","title":"2. \u5df2\u5b66\u4e60\u7684\u6307\u4ee4","text":"<ul> <li>\u52a0\u6cd5/\u51cf\u6cd5:<code>add</code>, <code>sub</code>\uff0c\u7528\u4e8e\u6267\u884c\u57fa\u672c\u7684\u7b97\u672f\u8fd0\u7b97\u3002</li> <li>\u52a0\u5e38\u6570:<code>addi</code>\uff0c\u7528\u4e8e\u5c06\u5bc4\u5b58\u5668\u7684\u503c\u4e0e\u7acb\u5373\u6570\u76f8\u52a0\u3002</li> <li>\u5185\u5b58\u8bbf\u95ee:<code>lw</code> (load word), <code>lb</code> (load byte), <code>sw</code> (store word), <code>sb</code> (store byte)\uff0c\u7528\u4e8e\u5728\u5bc4\u5b58\u5668\u548c\u5185\u5b58\u4e4b\u95f4\u4f20\u8f93\u6570\u636e\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#3","title":"3. \u903b\u8f91\u6307\u4ee4","text":"<ul> <li>\u5305\u62ec\u903b\u8f91\u4e0e\uff08<code>and</code>\uff09\u3001\u6216\uff08<code>or</code>\uff09\u3001\u5f02\u6216\uff08<code>xor</code>\uff09\u3002</li> <li>\u4f4d\u79fb\u6307\u4ee4:<code>sll</code> (shift left logical), <code>slli</code> (shift left logical immediate), <code>sra</code> (shift right arithmetic), <code>srai</code> (shift right arithmetic immediate)\uff0c\u7528\u4e8e\u6267\u884c\u4f4d\u64cd\u4f5c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#4","title":"4. \u6761\u4ef6\u5206\u652f","text":"<ul> <li>\u7528\u4e8e\u5b9e\u73b0 <code>if</code>\u3001<code>loops</code> \u7b49\u63a7\u5236\u6d41\u7ed3\u6784\u3002</li> <li>\u683c\u5f0f:<code>{comparison} {reg1} {reg2} {label}</code>\uff0c\u4f8b\u5982 <code>beq</code> (branch if equal), <code>bne</code> (branch if not equal), <code>blt</code> (branch if less than), <code>bge</code> (branch if greater than or equal)\u3002</li> <li>\u6ca1\u6709\u76f4\u63a5\u7684 \u201cbranch-less-than-or-equals\u201d \u548c \u201cbranch-greater-than\u201d \u6307\u4ee4\uff0c\u4f46\u53ef\u4ee5\u901a\u8fc7\u4ea4\u6362\u53c2\u6570\u6765\u5b9e\u73b0\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#5","title":"5. \u65e0\u6761\u4ef6\u5206\u652f","text":"<ul> <li><code>Jump</code> \u6307\u4ee4:<code>j label</code>\uff0c\u603b\u662f\u8df3\u8f6c\u5230\u6807\u7b7e\u6307\u5b9a\u7684\u4ee3\u7801\u4f4d\u7f6e\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#6-if-else","title":"6. If-Else \u8bed\u53e5\u7684\u5b9e\u73b0","text":"<ul> <li>\u4f7f\u7528\u5206\u652f\u6307\u4ee4\u6765\u5b9e\u73b0\u6761\u4ef6\u6267\u884c\u3002</li> <li>\u793a\u4f8b:\u6839\u636e\u4e24\u4e2a\u5bc4\u5b58\u5668\u7684\u503c\u662f\u5426\u76f8\u7b49\uff0c\u6267\u884c\u4e0d\u540c\u7684\u64cd\u4f5c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#7","title":"7. \u5faa\u73af\u793a\u4f8b","text":"<ul> <li>\u4f7f\u7528\u5faa\u73af\u6765\u7d2f\u52a0\u6570\u7ec4\u5143\u7d20\u7684\u548c\u3002</li> <li>\u793a\u4f8b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u521d\u59cb\u5316\u5faa\u73af\u53d8\u91cf\u3001\u5faa\u73af\u6761\u4ef6\u4ee5\u53ca\u5faa\u73af\u4f53\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#8-pc","title":"8. \u7a0b\u5e8f\u8ba1\u6570\u5668\uff08PC\uff09","text":"<ul> <li>PC \u662f\u4e00\u4e2a\u5bc4\u5b58\u5668\uff0c\u5b58\u50a8\u5f53\u524d\u6b63\u5728\u6267\u884c\u7684\u6307\u4ee4\u7684\u5185\u5b58\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#9-pc","title":"9. \u589e\u52a0 PC \u7684\u503c","text":"<ul> <li>RV32 \u6307\u4ee4\u662f 32 \u4f4d\u5bbd\uff0c\u5373 4 \u5b57\u8282\u3002</li> <li>\u5f53\u79fb\u52a8\u5230\u4e0b\u4e00\u6761\u6307\u4ee4\u65f6\uff0c\u5904\u7406\u5668\u4f1a\u589e\u52a0 PC \u7684\u503c 4 \u5b57\u8282\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#10","title":"10. \u51fd\u6570\u6267\u884c\u4f4d\u7f6e\u7684\u6539\u53d8","text":"<ul> <li>\u4f7f\u7528\u8df3\u8f6c\u6307\u4ee4\u6539\u53d8 PC \u7684\u503c\uff0c\u4ee5\u6267\u884c\u4e0d\u540c\u4f4d\u7f6e\u7684\u51fd\u6570\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#11-jal","title":"11. JAL \u6307\u4ee4","text":"<ul> <li><code>jal</code> \u6307\u4ee4\u7528\u4e8e\u8df3\u8f6c\u5230\u6807\u7b7e\uff0c\u5e76\u5b58\u50a8\u8fd4\u56de\u5730\u5740\u3002</li> <li>\u5c06\u6807\u7b7e\u901a\u8fc7\u6c47\u7f16\u5668\u8f6c\u6362\u4e3a 20 \u4f4d\u504f\u79fb\u91cf\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#12","title":"12. \u8fd4\u56de\u5730\u5740\u5bc4\u5b58\u5668","text":"<ul> <li>\u53ef\u4ee5\u9009\u62e9\u4efb\u610f\u5bc4\u5b58\u5668\u6765\u5b58\u50a8\u8fd4\u56de\u5730\u5740\uff0c\u4f46\u6309\u7167\u6807\u51c6\u7ea6\u5b9a\uff0c\u4f7f\u7528\u5bc4\u5b58\u5668 x1\uff0c\u4e5f\u79f0\u4e3a <code>ra</code>\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#13","title":"13. \u8df3\u8f6c\u793a\u4f8b","text":"<ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u8c03\u7528\u4e2d\u4f7f\u7528 <code>jal</code> \u548c <code>jr</code> \u6307\u4ee4\u8fdb\u884c\u8df3\u8f6c\u548c\u8fd4\u56de\u3002</li> <li>\u7528x0\u53ef\u4ee5\u4e0d\u7528\u5b58\u8fd4\u56de\u5730\u5740</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#14","title":"14. \u4f2a\u6307\u4ee4","text":"<ul> <li>\u4f2a\u6307\u4ee4\u5bf9\u7a0b\u5e8f\u5458\u53ef\u7528\uff0c\u4f46\u4e0d\u662f ISA \u7684\u4e00\u90e8\u5206\u3002</li> <li>\u7531\u6c47\u7f16\u5668\u8f6c\u6362\u4e3a\u5b9e\u9645\u7684 RISC-V \u6307\u4ee4\u3002</li> <li>[[cs61c_lec06]]\u91cc\u5c31\u8bb2\u8fc7\u4e86</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#15-jalr","title":"15. JALR \u6307\u4ee4","text":"<ul> <li><code>jalr</code> \u6307\u4ee4\u7ed3\u5408\u4e86\u5bc4\u5b58\u5668\u548c\u7acb\u5373\u6570\u6765\u8ba1\u7b97\u8df3\u8f6c\u5730\u5740\u3002</li> <li> </li> <li> <p>\u7528\u4e8e\u4ece\u51fd\u6570\u8fd4\u56de\uff0c\u4e0d\u9700\u8981\u989d\u5916\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\u3002</p> </li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#16","title":"16. \u8df3\u8f6c\u603b\u7ed3","text":"<ul> <li>\u603b\u7ed3\u4e86\u4e0d\u540c\u7c7b\u578b\u7684\u8df3\u8f6c\u6307\u4ee4\uff0c\u5305\u62ec <code>jal</code>, <code>jalr</code>, <code>jr</code>, \u548c <code>ret</code>\u3002</li> <li></li> <li></li> <li>[[\u8df3\u8f6c\u548c\u8fd4\u56de\u7684\u51fd\u6570]]</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#17","title":"17. \u4fdd\u5b58\u5bc4\u5b58\u5668","text":"<ul> <li>\u5f53\u8c03\u7528\u53e6\u4e00\u4e2a\u51fd\u6570\u65f6\uff0c\u9700\u8981\u4fdd\u5b58\u5f53\u524d\u51fd\u6570\u4f7f\u7528\u7684\u5bc4\u5b58\u5668\u503c\uff0c\u4ee5\u9632\u6b62\u88ab\u8986\u76d6\u3002</li> <li>save in the stack</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#18","title":"18. \u4e3a\u6808\u5206\u914d\u7a7a\u95f4","text":"<ul> <li>\u6808\u7528\u4e8e\u5b58\u50a8\u81ea\u52a8\uff08\u5c40\u90e8\uff09\u53d8\u91cf\uff0c\u8fd9\u4e9b\u53d8\u91cf\u5728\u51fd\u6570\u9000\u51fa\u65f6\u88ab\u4e22\u5f03\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#19-sp","title":"19. \u6808\u6307\u9488\uff08SP\uff09","text":"<ul> <li>SP \u662f\u4e00\u4e2a\u5bc4\u5b58\u5668\uff0c\u5b58\u50a8\u6808\u4e0a\u6700\u540e\u4e00\u9879\u7684\u5185\u5b58\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#20","title":"20. \u6808\u5e27","text":"<ul> <li>\u6808\u5e27\u662f\u6808\u4e0a\u7684\u4e00\u5757\u533a\u57df\uff0c\u7528\u4e8e\u5b58\u50a8\u51fd\u6570\u7684\u5c40\u90e8\u53d8\u91cf\u548c\u5bc4\u5b58\u5668\u72b6\u6001\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#21","title":"21. \u79fb\u52a8\u6808\u6307\u9488","text":"<ul> <li>\u901a\u8fc7\u589e\u52a0\u6216\u51cf\u5c11 SP \u7684\u503c\u6765\u5728\u6808\u4e0a\u5206\u914d\u6216\u91ca\u653e\u7a7a\u95f4\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#22","title":"22. \u8c03\u7528\u7ea6\u5b9a","text":"<ul> <li>\u8c03\u7528\u7ea6\u5b9a\u5b9a\u4e49\u4e86\u54ea\u4e9b\u5bc4\u5b58\u5668\u7531\u8c03\u7528\u8005\u4fdd\u5b58\uff0c\u54ea\u4e9b\u7531\u88ab\u8c03\u7528\u8005\u4fdd\u5b58\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#23","title":"23. \u5bc4\u5b58\u5668\u4f7f\u7528\u8bf4\u660e","text":"<ul> <li>\u8868\u683c\u5217\u51fa\u4e86\u6bcf\u4e2a\u5bc4\u5b58\u5668\u7684\u7528\u9014\u548c\u8c01\u8d1f\u8d23\u4fdd\u5b58\u5b83\u4eec\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#24","title":"24. \u53c2\u6570\u5bc4\u5b58\u5668","text":"<ul> <li>\u51fd\u6570\u7684\u53c2\u6570\u548c\u8fd4\u56de\u503c\u901a\u8fc7\u7279\u5b9a\u7684\u5bc4\u5b58\u5668\u4f20\u9012\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#25","title":"25. \u8c03\u7528\u7ea6\u5b9a\u793a\u4f8b","text":"<ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u8c03\u7528\u4e2d\u4f7f\u7528\u53c2\u6570\u5bc4\u5b58\u5668\u548c\u8fd4\u56de\u5bc4\u5b58\u5668\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec07/#26","title":"26. \u51fd\u6570\u8c03\u7528\u7684\u516d\u4e2a\u57fa\u672c\u6b65\u9aa4","text":"<ul> <li>\u4ece\u53c2\u6570\u8bbe\u7f6e\u5230\u63a7\u5236\u6743\u8fd4\u56de\u7684\u8be6\u7ec6\u8fc7\u7a0b\u3002</li> <li></li> </ul> <p>\u8fd9\u4efd\u8bb2\u4e49\u6db5\u76d6\u4e86 RISC-V \u6c47\u7f16\u8bed\u8a00\u4e2d\u63a7\u5236\u6d41\u3001\u51fd\u6570\u8c03\u7528\u3001\u5bc4\u5b58\u5668\u4f7f\u7528\u548c\u5185\u5b58\u7ba1\u7406\u7684\u5173\u952e\u6982\u5ff5\u548c\u6280\u672f\u3002\u901a\u8fc7\u8fd9\u4e9b\u5185\u5bb9\uff0c\u5b66\u751f\u53ef\u4ee5\u5b66\u4e60\u5982\u4f55\u5728 RISC-V \u67b6\u6784\u4e0a\u5b9e\u73b0\u590d\u6742\u7684\u7a0b\u5e8f\u903b\u8f91\u548c\u51fd\u6570\u4ea4\u4e92\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec08/","title":"Cs61c lec08","text":"<p> \u7ea6 1440 \u4e2a\u5b57  17 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> <p><code>lec08.pdf</code> \u6587\u4ef6\u8be6\u7ec6\u4ecb\u7ecd\u4e86 RISC-V \u6307\u4ee4\u96c6\u67b6\u6784\u4e2d\u7684\u6307\u4ee4\u683c\u5f0f\u548c\u5176\u4ed6\u76f8\u5173\u6982\u5ff5\u3002\u4ee5\u4e0b\u662f\u8be5\u8bfe\u7a0b\u5185\u5bb9\u7684\u8be6\u7ec6\u8bb2\u89e3:</p>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#1","title":"1. \u62bd\u8c61\u7684\u6982\u5ff5","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u4e0d\u540c\u7ea7\u522b\u7684\u62bd\u8c61\uff0c\u5305\u62ec\u9ad8\u7ea7\u8bed\u8a00\u3001\u6c47\u7f16\u8bed\u8a00\u3001\u673a\u5668\u8bed\u8a00\u548c\u786c\u4ef6\u67b6\u6784\u63cf\u8ff0\u3002</li> <li>\u89e3\u91ca\u4e86\u7f16\u8bd1\u5668\u3001\u6c47\u7f16\u5668\u548c\u673a\u5668\u89e3\u91ca\u7684\u4f5c\u7528\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#2","title":"2. \u6307\u4ee4\u683c\u5f0f","text":"<ul> <li>\u6307\u51fa\u6bcf\u6761\u6307\u4ee4\u90fd\u662f 32 \u4f4d\u5bbd\uff0c\u5e76\u5206\u4e3a\u4e0d\u540c\u7684\u5b57\u6bb5\u3002</li> <li>\u4ecb\u7ecd\u4e86 RISC-V \u6307\u4ee4\u96c6\u7684\u51e0\u79cd\u683c\u5f0f:R \u683c\u5f0f\u3001I \u683c\u5f0f\u3001S \u683c\u5f0f\u548c U \u683c\u5f0f\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#3-r","title":"3. R \u683c\u5f0f","text":"<ul> <li>R \u683c\u5f0f\u662f\u4e00\u79cd\u5bc4\u5b58\u5668-\u5bc4\u5b58\u5668\u7c7b\u578b\u7684\u6307\u4ee4\uff0c\u6d89\u53ca\u4e09\u4e2a\u5bc4\u5b58\u5668:\u4e24\u4e2a\u6e90\u5bc4\u5b58\u5668\u548c\u4e00\u4e2a\u76ee\u6807\u5bc4\u5b58\u5668\u3002</li> <li>\u4ecb\u7ecd\u4e86 R \u683c\u5f0f\u7684\u5b57\u6bb5\u5e03\u5c40\uff0c\u5305\u62ec <code>funct7</code>\u3001<code>rs2</code>\u3001<code>rs1</code>\u3001<code>funct3</code>\u3001<code>rd</code> \u548c <code>opcode</code>\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#4-r","title":"4. R \u683c\u5f0f\u6307\u4ee4\u7684\u64cd\u4f5c","text":"<ul> <li>\u901a\u8fc7 <code>funct7</code> \u548c <code>funct3</code> \u5b57\u6bb5\u4e0e <code>opcode</code> \u7ed3\u5408\u6765\u786e\u5b9a\u8981\u6267\u884c\u7684\u64cd\u4f5c\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#5-r","title":"5. R \u683c\u5f0f\u6307\u4ee4\u7684\u5bc4\u5b58\u5668","text":"<ul> <li>\u89e3\u91ca\u4e86\u5bc4\u5b58\u5668\u5b57\u6bb5 <code>rs1</code>\u3001<code>rs2</code> \u548c <code>rd</code> \u7684\u4f5c\u7528\uff0c\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u5b58\u50a8 5 \u4f4d\u65e0\u7b26\u53f7\u6574\u6570\u6765\u8868\u793a\u5bc4\u5b58\u5668\u53f7\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#6-r","title":"6. R \u683c\u5f0f\u793a\u4f8b","text":"<ul> <li>\u901a\u8fc7\u793a\u4f8b <code>add x18, x19, x10</code> \u5c55\u793a\u4e86 R \u683c\u5f0f\u6307\u4ee4\u7684\u4e8c\u8fdb\u5236\u8868\u793a\u3002</li> <li></li> </ul> <p>\u5728RISC-V\u6307\u4ee4\u96c6\u4e2d\uff0c<code>opcode</code>\u3001<code>funct3</code>\u548c<code>funct7</code>\u5b57\u6bb5\u662f\u6784\u6210\u4e00\u6761\u6307\u4ee4\u7684\u57fa\u672c\u7ec4\u6210\u90e8\u5206\uff0c\u5b83\u4eec\u5171\u540c\u5b9a\u4e49\u4e86\u6307\u4ee4\u7684\u7c7b\u578b\u548c\u884c\u4e3a\u3002\u4e0b\u9762\u662f\u5bf9\u8fd9\u4e9b\u5b57\u6bb5\u7684\u7406\u89e3:</p> <ol> <li> <p>Opcode:\u64cd\u4f5c\u7801\u662f\u4e00\u4e2a\u56fa\u5b9a\u7684\u4f4d\u6a21\u5f0f\uff0c\u7528\u4e8e\u6807\u8bc6\u6307\u4ee4\u7684\u7c7b\u522b\u3002\u4f8b\u5982\uff0c\u6240\u6709R\u578b\uff08\u5bc4\u5b58\u5668-\u5bc4\u5b58\u5668\uff09\u7c7b\u578b\u7684\u6307\u4ee4\u90fd\u6709\u4e00\u4e2a\u7279\u5b9a\u7684\u64cd\u4f5c\u7801\u6765\u533a\u5206\u5b83\u4eec\u4e0eI\u578b\uff08\u5bc4\u5b58\u5668-\u7acb\u5373\u6570\uff09\u6216S\u578b\uff08\u5b58\u50a8\uff09\u6307\u4ee4\u7b49\u3002</p> </li> <li> <p>Funct3:\u529f\u80fd\u7801\u7684\u4f4e\u4e09\u4f4d\uff08funct3\uff09\u63d0\u4f9b\u4e86\u989d\u5916\u7684\u4fe1\u606f\uff0c\u7528\u4e8e\u5728\u5177\u6709\u591a\u79cd\u53d8\u4f53\u7684\u6307\u4ee4\u4e2d\u9009\u62e9\u7279\u5b9a\u7684\u64cd\u4f5c\u3002\u4f8b\u5982\uff0c\u5728RISC-V\u4e2d\uff0c<code>add</code>\u548c<code>sub</code>\u64cd\u4f5c\u90fd\u4f7f\u7528\u76f8\u540c\u7684\u64cd\u4f5c\u7801\uff0c\u4f46\u662f\u901a\u8fc7<code>funct3</code>\u5b57\u6bb5\u6765\u533a\u5206\u662f\u6267\u884c\u52a0\u6cd5\u8fd8\u662f\u51cf\u6cd5\u3002</p> </li> <li> <p>Funct7:\u529f\u80fd\u7801\u7684\u9ad8\u4e03\u4f4d\uff08funct7\uff09\u4e3a\u67d0\u4e9b\u6307\u4ee4\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u7f16\u7801\u7a7a\u95f4\uff0c\u5141\u8bb8\u540c\u4e00\u64cd\u4f5c\u7801\u4e0b\u6709\u66f4\u591a\u7684\u64cd\u4f5c\u53d8\u4f53\u3002\u4f8b\u5982\uff0c\u5728\u6d6e\u70b9\u6307\u4ee4\u4e2d\uff0c<code>funct7</code>\u5b57\u6bb5\u53ef\u4ee5\u7528\u4e8e\u9009\u62e9\u4e0d\u540c\u7684\u6d6e\u70b9\u8fd0\u7b97\u3002</p> </li> </ol> <p>\u5728RISC-V\u768432\u4f4d\u6307\u4ee4\u7f16\u7801\u4e2d\uff0c\u8fd9\u4e9b\u5b57\u6bb5\u901a\u5e38\u6309\u5982\u4e0b\u65b9\u5f0f\u7ec4\u7ec7:</p> <ul> <li>\u524d7\u4f4d\u662f<code>opcode</code>\u3002</li> <li>\u63a5\u4e0b\u6765\u76843\u4f4d\u662f<code>funct3</code>\u3002</li> <li>\u7136\u540e\u662f5\u4f4d\u64cd\u4f5c\u6570\u7f16\u7801\uff0c\u5bf9\u4e8eR\u578b\u6307\u4ee4\u662f<code>rs1</code>\u548c<code>rs2</code>\uff0c\u5bf9\u4e8eI\u578b\u6307\u4ee4\u662f<code>rs1</code>\u548c<code>\u7acb\u5373\u6570</code>\u3002</li> <li>\u5bf9\u4e8eR\u578b\u6307\u4ee4\uff0c\u540e\u9762\u662f3\u4f4d<code>rd</code>\u7f16\u7801\u3002</li> <li>\u5bf9\u4e8eI\u578b\u548cS\u578b\u6307\u4ee4\uff0c\u63a5\u4e0b\u6765\u768412\u4f4d\u662f\u7acb\u5373\u6570\u7f16\u7801\u3002</li> </ul> <p>\u4f8b\u5982\uff0c\u5728R\u578b\u6307\u4ee4\u4e2d\uff0c\u683c\u5f0f\u5982\u4e0b:</p> Text Only<pre><code>|---7---|---3---|---5---|---3---|---5---|\n| opcode| 000  |  rs2  | funct3|  rd   |\n</code></pre> <p>\u5728I\u578b\u6307\u4ee4\u4e2d\uff0c\u683c\u5f0f\u5982\u4e0b:</p> Text Only<pre><code>|---7---|---3---|---5---|---13--|\n| opcode| 000  |  rs1  |  immed |\n</code></pre> <p>\u5728\u7406\u89e3RISC-V\u6307\u4ee4\u65f6\uff0c\u91cd\u8981\u7684\u662f\u8981\u53c2\u8003\u5b98\u65b9\u7684\u6307\u4ee4\u96c6\u6587\u6863\uff0c\u56e0\u4e3a\u4e0d\u540c\u7684\u6307\u4ee4\u548c\u6307\u4ee4\u7c7b\u522b\u53ef\u80fd\u6709\u4e0d\u540c\u7684<code>funct3</code>\u548c<code>funct7</code>\u7f16\u7801\u3002\u8fd9\u4e9b\u7f16\u7801\u5b9a\u4e49\u4e86\u6307\u4ee4\u7684\u5177\u4f53\u884c\u4e3a\uff0c\u4f8b\u5982\u7b97\u672f\u8fd0\u7b97\u3001\u903b\u8f91\u8fd0\u7b97\u3001\u4f4d\u79fb\u8fd0\u7b97\u7b49\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#7-i","title":"7. I \u683c\u5f0f","text":"<ul> <li>I \u683c\u5f0f\u662f\u5bc4\u5b58\u5668-\u7acb\u5373\u6570\u7c7b\u578b\u7684\u6307\u4ee4\uff0c\u6d89\u53ca\u4e00\u4e2a\u5bc4\u5b58\u5668\u548c\u4e00\u4e2a\u7acb\u5373\u6570\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#8-i","title":"8. I \u683c\u5f0f\u5e03\u5c40","text":"<ul> <li>\u4ecb\u7ecd\u4e86 I \u683c\u5f0f\u7684\u5b57\u6bb5\u5e03\u5c40\uff0c\u5305\u62ec <code>imm[11:0]</code>\u3001<code>rs1</code>\u3001<code>funct3</code>\u3001<code>rd</code> \u548c <code>opcode</code>\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#9-i","title":"9. I \u683c\u5f0f\u6307\u4ee4","text":"<ul> <li>\u8ba8\u8bba\u4e86\u7acb\u5373\u6570\u7684\u8868\u793a\u8303\u56f4\u548c\u5982\u4f55\u8fdb\u884c\u7b26\u53f7\u6269\u5c55\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#10-i","title":"10. I \u683c\u5f0f\u793a\u4f8b","text":"<ul> <li>\u901a\u8fc7\u793a\u4f8b <code>addi x15, x18, -50</code> \u5c55\u793a\u4e86 I \u683c\u5f0f\u6307\u4ee4\u7684\u4e8c\u8fdb\u5236\u8868\u793a\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#11","title":"11. \u52a0\u8f7d\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u52a0\u8f7d\u6307\u4ee4\u7684\u4e0d\u540c\u7c7b\u578b\uff0c\u5305\u62ec\u52a0\u8f7d\u5b57\uff08<code>lw</code>\uff09\u3001\u52a0\u8f7d\u5b57\u8282\uff08<code>lb</code>\uff09\u3001\u52a0\u8f7d\u65e0\u7b26\u53f7\u5b57\u8282\uff08<code>lbu</code>\uff09\u548c\u52a0\u8f7d\u534a\u5b57\uff08<code>lh</code>\u3001<code>lhu</code>\uff09\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#12","title":"12. \u52a0\u8f7d\u6307\u4ee4\u7684\u5185\u5b58\u8868\u793a","text":"<ul> <li>\u89e3\u91ca\u4e86\u52a0\u8f7d\u6307\u4ee4\u5982\u4f55\u4ece\u5185\u5b58\u4e2d\u52a0\u8f7d\u4e0d\u540c\u5927\u5c0f\u7684\u6570\u636e\u5230\u5bc4\u5b58\u5668\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#13-s","title":"13. S \u683c\u5f0f","text":"<ul> <li>S \u683c\u5f0f\u662f\u5b58\u50a8\u6307\u4ee4\u7684\u683c\u5f0f\uff0c\u6d89\u53ca\u4e24\u4e2a\u6e90\u5bc4\u5b58\u5668\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#14","title":"14. \u5b58\u50a8\u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5b58\u50a8\u6307\u4ee4\u7684\u4e0d\u540c\u7c7b\u578b\uff0c\u5305\u62ec\u5b58\u50a8\u5b57\uff08<code>sw</code>\uff09\u3001\u5b58\u50a8\u5b57\u8282\uff08<code>sb</code>\uff09\u548c\u5b58\u50a8\u534a\u5b57\uff08<code>sh</code>\uff09\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#15","title":"15. \u5b58\u50a8\u6307\u4ee4\u7684\u5185\u5b58\u8868\u793a","text":"<ul> <li>\u89e3\u91ca\u4e86\u5b58\u50a8\u6307\u4ee4\u5982\u4f55\u5c06\u6570\u636e\u4ece\u5bc4\u5b58\u5668\u5b58\u50a8\u5230\u5185\u5b58\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#16","title":"16. \u5206\u652f\u6307\u4ee4","text":"<ul> <li>\u8ba8\u8bba\u4e86\u6761\u4ef6\u5206\u652f\u6307\u4ee4\u7684\u7528\u6cd5\uff0c\u5305\u62ec <code>beq</code>\uff08\u5982\u679c\u76f8\u7b49\u5219\u5206\u652f\uff09\u3001<code>bne</code>\uff08\u5982\u679c\u4e0d\u76f8\u7b49\u5219\u5206\u652f\uff09\u7b49\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#17","title":"17. \u5206\u652f\u6307\u4ee4\u7684\u5730\u5740\u8303\u56f4","text":"<ul> <li>\u4ecb\u7ecd\u4e86\u5206\u652f\u6307\u4ee4\u53ef\u4ee5\u8df3\u8f6c\u7684\u8303\u56f4\uff0c\u57fa\u4e8e PC \u76f8\u5bf9\u5730\u5740\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#18","title":"18. \u5206\u652f\u6307\u4ee4\u7684\u7f16\u7801","text":"<ul> <li>\u8be6\u7ec6\u89e3\u91ca\u4e86\u5206\u652f\u6307\u4ee4\u7684\u7acb\u5373\u6570\u5b57\u6bb5\u5982\u4f55\u7f16\u7801\uff0c\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u8df3\u8f6c\u504f\u79fb\u3002</li> <li></li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#19-risc-v-16","title":"19. RISC-V \u7684 16 \u4f4d\u6307\u4ee4\u6269\u5c55","text":"<ul> <li>\u4ecb\u7ecd\u4e86 RISC-V \u652f\u6301\u7684 16 \u4f4d\u538b\u7f29\u6307\u4ee4\uff0c\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u589e\u52a0\u6307\u4ee4\u7684\u5bc6\u5ea6\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#20-j","title":"20. J \u683c\u5f0f","text":"<ul> <li>J \u683c\u5f0f\u662f\u8df3\u8f6c\u6307\u4ee4\u7684\u683c\u5f0f\uff0c\u5141\u8bb8\u8df3\u8f6c\u5230\u66f4\u8fdc\u7684\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#21-jalr","title":"21. JALR \u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86 <code>jalr</code> \u6307\u4ee4\uff0c\u5b83\u7528\u4e8e\u76f8\u5bf9\u5730\u5740\u7684\u8df3\u8f6c\uff0c\u5e76\u53ef\u4ee5\u4f5c\u4e3a\u8fd4\u56de\u6307\u4ee4\u4f7f\u7528\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#22-pc","title":"22. PC \u76f8\u5bf9\u5730\u5740\u4e0e\u7edd\u5bf9\u5730\u5740","text":"<ul> <li>\u5bf9\u6bd4\u4e86 PC \u76f8\u5bf9\u5730\u5740\u8df3\u8f6c\u548c\u7edd\u5bf9\u5730\u5740\u8df3\u8f6c\u7684\u6982\u5ff5\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#23-u","title":"23. U \u683c\u5f0f","text":"<ul> <li>U \u683c\u5f0f\u662f\u7528\u4e8e\u52a0\u8f7d\u7acb\u5373\u6570\u5230\u5bc4\u5b58\u5668\u7684\u6307\u4ee4\u683c\u5f0f\uff0c\u5982 <code>lui</code>\uff08\u52a0\u8f7d\u4e0a\u7acb\u5373\u6570\uff09\u3002</li> <li></li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#24-lui-auipc","title":"24. LUI \u548c AUIPC \u6307\u4ee4","text":"<ul> <li>\u4ecb\u7ecd\u4e86 <code>lui</code> \u6307\u4ee4\u5982\u4f55\u52a0\u8f7d\u7acb\u5373\u6570\u7684\u4e0a 20 \u4f4d\u5230\u5bc4\u5b58\u5668\uff0c\u4ee5\u53ca <code>auipc</code>\uff08\u52a0\u7acb\u5373\u6570\u5230 PC\uff09\u5982\u4f55\u7528\u4e8e\u8ba1\u7b97 PC \u76f8\u5bf9\u7684\u5730\u5740\u3002</li> </ul>"},{"location":"CS%20basic/cs61c/cs61c_lec08/#25","title":"25. \u603b\u7ed3","text":"<ul> <li>\u5bf9 RISC-V \u6307\u4ee4\u683c\u5f0f\u8fdb\u884c\u4e86\u603b\u7ed3\uff0c\u5f3a\u8c03\u4e86\u5b83\u4eec\u5728\u4e0d\u540c\u573a\u666f\u4e0b\u7684\u5e94\u7528\u3002</li> <li></li> </ul> <p>\u8fd9\u4efd\u8bb2\u4e49\u6df1\u5165\u63a2\u8ba8\u4e86 RISC-V \u6307\u4ee4\u96c6\u7684\u4e0d\u540c\u683c\u5f0f\uff0c\u5305\u62ec\u5b83\u4eec\u7684\u5b57\u6bb5\u5e03\u5c40\u3001\u64cd\u4f5c\u548c\u5e94\u7528\u573a\u666f\u3002\u901a\u8fc7\u8fd9\u4e9b\u5185\u5bb9\uff0c\u5b66\u751f\u53ef\u4ee5\u66f4\u6df1\u5165\u5730\u7406\u89e3 RISC-V \u6307\u4ee4\u96c6\u7684\u5de5\u4f5c\u539f\u7406\u548c\u5982\u4f55\u6709\u6548\u5730\u4f7f\u7528\u5404\u79cd\u6307\u4ee4\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec09/","title":"Cs61c lec09","text":"<p> \u7ea6 1004 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec09.pdf</code>\u6587\u4ef6\u662f\u5173\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531McMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u8ba8\u8bba\u4e86\u7f16\u8bd1\u3001\u6c47\u7f16\u3001\u94fe\u63a5\u548c\u52a0\u8f7d\uff08CALL\uff09\u7684\u8fc7\u7a0b\uff0c\u4ee5\u53ca\u5982\u4f55\u5c06\u9ad8\u7ea7\u8bed\u8a00\u7ffb\u8bd1\u6210RISC-V\u6c47\u7f16\u8bed\u8a00\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>CALL\u94fe\u4ecb\u7ecd:    - CALL\u94fe\u662f\u6307\u5c06\u9ad8\u7ea7\u8bed\u8a00\u4ee3\u7801\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u6240\u7ecf\u5386\u7684\u4e00\u7cfb\u5217\u6b65\u9aa4\uff0c\u5305\u62ec\u7f16\u8bd1\uff08Compiler\uff09\u3001\u6c47\u7f16\uff08Assembler\uff09\u3001\u94fe\u63a5\uff08Linker\uff09\u548c\u52a0\u8f7d\uff08Loader\uff09\u3002</p> </li> <li> <p>\u7ffb\u8bd1\u590d\u6742\u793a\u4f8b:    - \u901a\u8fc7\u4e00\u4e2aC\u8bed\u8a00\u7684<code>map</code>\u51fd\u6570\u793a\u4f8b\uff0c\u5c55\u793a\u4e86\u5982\u4f55\u5c06\u5176\u7ffb\u8bd1\u6210RISC-V\u6c47\u7f16\u8bed\u8a00\u3002\u8fd9\u4e2a\u51fd\u6570\u901a\u8fc7\u9012\u5f52\u65b9\u5f0f\uff0c\u5bf9\u94fe\u8868\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u5e94\u7528\u4e00\u4e2a\u51fd\u6570\u3002</p> </li> <li> <p>\u89e3\u91ca\u4e0e\u7f16\u8bd1:    - \u89e3\u91ca\u4e86\u89e3\u91ca\u578b\u8bed\u8a00\u548c\u7f16\u8bd1\u578b\u8bed\u8a00\u7684\u533a\u522b\u3002\u89e3\u91ca\u578b\u8bed\u8a00\u76f4\u63a5\u6267\u884c\u6e90\u4ee3\u7801\uff0c\u800c\u7f16\u8bd1\u578b\u8bed\u8a00\u5148\u5c06\u6e90\u4ee3\u7801\u8f6c\u6362\u6210\u53e6\u4e00\u79cd\u8bed\u8a00\u7684\u7b49\u4ef7\u7a0b\u5e8f\u3002</p> </li> <li> <p>\u5b58\u50a8\u65b9\u6848\u51b3\u7b56:    - \u786e\u5b9a\u4e86\u54ea\u4e9b\u53d8\u91cf\u5e94\u8be5\u653e\u5728\u5bc4\u5b58\u5668\u4e2d\u3002\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>lst</code>\u3001<code>f</code>\u548c<code>newcell</code>\u662f\u5c40\u90e8\u53d8\u91cf\uff0c\u9700\u8981\u5728\u51fd\u6570\u8c03\u7528\u4e4b\u95f4\u4fdd\u6301\u5b58\u6d3b\uff0c\u56e0\u6b64\u5b83\u4eec\u88ab\u653e\u5728\u4e86callee-saved\u5bc4\u5b58\u5668\u4e2d\u3002</p> </li> <li> <p>\u51fd\u6570\u5e8f\u8a00\uff08Preamble\uff09:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u5f00\u59cb\u65f6\u8c03\u6574\u6808\u6307\u9488\u3001\u4fdd\u5b58<code>ra</code>\u548c\u5176\u5b83\u9700\u8981\u7684\u5bc4\u5b58\u5668\u3002</p> </li> <li> <p>\u9012\u5f52\u8c03\u7528map:    - \u8be6\u7ec6\u89e3\u91ca\u4e86\u5982\u4f55\u8fdb\u884c\u65e9\u671f\u9000\u51fa\uff08\u5982\u679c<code>lst</code>\u4e3aNULL\uff09\u3001\u5982\u4f55\u8c03\u7528<code>malloc</code>\u5206\u914d\u5185\u5b58\u3001\u5982\u4f55\u8c03\u7528\u51fd\u6570<code>f</code>\u4ee5\u53ca\u5982\u4f55\u9012\u5f52\u8c03\u7528<code>map</code>\u51fd\u6570\u3002</p> </li> <li> <p>\u6e05\u7406\u4e0e\u8fd4\u56de:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u51fd\u6570\u7ed3\u675f\u524d\u6062\u590d\u5bc4\u5b58\u5668\u72b6\u6001\u3001\u8c03\u6574\u6808\u6307\u9488\uff0c\u5e76\u4f7f\u7528<code>jr</code>\u6307\u4ee4\u8fd4\u56de\u3002</p> </li> <li> <p>\u5b8c\u6574\u4ee3\u7801\u793a\u4f8b:    - \u63d0\u4f9b\u4e86\u4e0a\u8ff0<code>map</code>\u51fd\u6570\u7684\u5b8c\u6574RISC-V\u6c47\u7f16\u8bed\u8a00\u5b9e\u73b0\u3002</p> </li> <li> <p>\u4e0d\u540c\u7ea7\u522b\u7684\u8868\u793a/\u89e3\u91ca:    - \u8ba8\u8bba\u4e86\u4ece\u9ad8\u7ea7\u8bed\u8a00\u5230\u6c47\u7f16\u8bed\u8a00\uff0c\u518d\u5230\u673a\u5668\u8bed\u8a00\u7684\u4e0d\u540c\u8868\u793a\u7ea7\u522b\uff0c\u4ee5\u53ca\u7f16\u8bd1\u5668\u3001\u6c47\u7f16\u5668\u548c\u673a\u5668\u89e3\u91ca\u5668\u7684\u89d2\u8272\u3002</p> </li> <li> <p>\u8bed\u8a00\u6267\u884c\u8fde\u7eed\u4f53:</p> <ul> <li>\u63cf\u8ff0\u4e86\u4ece\u6613\u7f16\u7a0b\u4f46\u6548\u7387\u8f83\u4f4e\u7684\u89e3\u91ca\u578b\u8bed\u8a00\u5230\u96be\u7f16\u7a0b\u4f46\u6548\u7387\u8f83\u9ad8\u7684\u7f16\u8bd1\u578b\u8bed\u8a00\u7684\u8fde\u7eed\u4f53\u3002</li> </ul> </li> <li> <p>\u89e3\u91ca\u4e0e\u7ffb\u8bd1:</p> <ul> <li>\u5bf9\u6bd4\u4e86\u89e3\u91ca\u5668\u548c\u7ffb\u8bd1\u5668\u7684\u4f18\u7f3a\u70b9\uff0c\u89e3\u91ca\u5668\u63d0\u4f9b\u66f4\u597d\u7684\u9519\u8bef\u6d88\u606f\u548c\u8de8\u5e73\u53f0\u517c\u5bb9\u6027\uff0c\u800c\u7ffb\u8bd1\u5668\u901a\u5e38\u63d0\u4f9b\u66f4\u9ad8\u7684\u6027\u80fd\u3002</li> </ul> </li> <li> <p>\u7f16\u8bd1C\u7a0b\u5e8f\u7684\u6b65\u9aa4:</p> <ul> <li>\u63cf\u8ff0\u4e86\u4eceC\u8bed\u8a00\u4ee3\u7801\u5230\u6c47\u7f16\u8bed\u8a00\u4ee3\u7801\u7684\u7f16\u8bd1\u8fc7\u7a0b\uff0c\u5305\u62ec\u8bcd\u6cd5\u5206\u6790\u3001\u8bed\u6cd5\u5206\u6790\u3001\u8bed\u4e49\u5206\u6790\u548c\u4f18\u5316\u3001\u4ee3\u7801\u751f\u6210\u7b49\u6b65\u9aa4\u3002</li> </ul> </li> <li> <p>\u6c47\u7f16\u5668:</p> <ul> <li>\u6c47\u7f16\u5668\u5c06\u6c47\u7f16\u8bed\u8a00\u4ee3\u7801\u8f6c\u6362\u6210\u673a\u5668\u8bed\u8a00\u4ee3\u7801\uff0c\u5e76\u521b\u5efa\u5bf9\u8c61\u6587\u4ef6\u3002</li> </ul> </li> <li> <p>\u4f2a\u6307\u4ee4\u66ff\u6362:</p> <ul> <li>\u6c47\u7f16\u5668\u5982\u4f55\u5904\u7406\u4f2a\u6307\u4ee4\uff0c\u4f8b\u5982<code>j</code>\u6807\u7b7e\u8f6c\u6362\u4e3a<code>jal x0 \u6807\u7b7e</code>\u3002</li> </ul> </li> <li> <p>\u4ea7\u751f\u673a\u5668\u8bed\u8a00:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5982\u4f55\u5c06\u6c47\u7f16\u6307\u4ee4\u8f6c\u6362\u4e3a\u673a\u5668\u8bed\u8a00\uff0c\u5305\u62ec\u5904\u7406\u5206\u652f\u3001\u8df3\u8f6c\u548c\u7edd\u5bf9\u5730\u5740\u5f15\u7528\u3002</li> </ul> </li> <li> <p>\u7b26\u53f7\u8868\u548c\u91cd\u5b9a\u4f4d\u8868:</p> <ul> <li>\u7b26\u53f7\u8868\u5217\u51fa\u4e86\u5f53\u524d\u6587\u4ef6\u4e2d\u53ef\u80fd\u88ab\u5176\u4ed6\u6587\u4ef6\u4f7f\u7528\u7684\u9879\uff0c\u800c\u91cd\u5b9a\u4f4d\u8868\u5217\u51fa\u4e86\u5f53\u524d\u6587\u4ef6\u7a0d\u540e\u9700\u8981\u5730\u5740\u7684\u9879\u3002</li> </ul> </li> <li> <p>\u5bf9\u8c61\u6587\u4ef6\u683c\u5f0f:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5bf9\u8c61\u6587\u4ef6\u7684\u683c\u5f0f\uff0c\u5305\u62ec\u5bf9\u8c61\u6587\u4ef6\u5934\u3001\u6587\u672c\u6bb5\u3001\u6570\u636e\u6bb5\u3001\u91cd\u5b9a\u4f4d\u4fe1\u606f\u3001\u7b26\u53f7\u8868\u548c\u8c03\u8bd5\u4fe1\u606f\u3002</li> </ul> </li> <li> <p>\u94fe\u63a5\u5668:</p> <ul> <li>\u94fe\u63a5\u5668\u5982\u4f55\u5c06\u591a\u4e2a\u5bf9\u8c61\u6587\u4ef6\u7ec4\u5408\u6210\u4e00\u4e2a\u53ef\u6267\u884c\u6587\u4ef6\uff0c\u5e76\u89e3\u51b3\u7edd\u5bf9\u5730\u5740\u3002</li> </ul> </li> <li> <p>\u52a0\u8f7d\u5668:</p> <ul> <li>\u52a0\u8f7d\u5668\u8d1f\u8d23\u5c06\u53ef\u6267\u884c\u6587\u4ef6\u52a0\u8f7d\u5230\u5185\u5b58\u4e2d\u5e76\u5f00\u59cb\u6267\u884c\u3002</li> </ul> </li> <li> <p>\u6574\u6570\u4e58\u6cd5\u548c\u9664\u6cd5:</p> <ul> <li>\u8ba8\u8bba\u4e86RISC-V\u4e2d\u6574\u6570\u4e58\u6cd5\u548c\u9664\u6cd5\u7684\u5b9e\u73b0\uff0c\u5305\u62ec\u4f7f\u7528<code>mul</code>\u3001<code>mulh</code>\u3001<code>div</code>\u548c<code>rem</code>\u6307\u4ee4\u3002</li> </ul> </li> <li> <p>\u53ef\u9009\u7684RISC-V 16\u4f4d\u538b\u7f29ISA:</p> <ul> <li>\u63d0\u4f9b\u4e86\u5173\u4e8eRISC-V 16\u4f4d\u538b\u7f29\u6307\u4ee4\u96c6\u7684\u989d\u5916\u4fe1\u606f\uff0c\u8fd9\u662f\u4e00\u79cd\u4f18\u5316\uff0c\u7528\u4e8e\u6700\u5e38\u89c1\u7684\u6307\u4ee4\u6a21\u5f0f\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e2a\u8bb2\u5ea7\u6db5\u76d6\u4e86\u8ba1\u7b97\u673a\u7cfb\u7edf\u5e95\u5c42\u7684\u8bb8\u591a\u5173\u952e\u6982\u5ff5\uff0c\u5bf9\u4e8e\u7406\u89e3\u7a0b\u5e8f\u662f\u5982\u4f55\u88ab\u7f16\u8bd1\u3001\u94fe\u63a5\u548c\u6267\u884c\u7684\u975e\u5e38\u6709\u5e2e\u52a9\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec10/","title":"Cs61c lec10","text":"<p> \u7ea6 632 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u8fd9\u4efd\u6587\u4ef6\u662f\u5173\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u5e74McMahon\u548cWeaver\u8bfe\u7a0b\u7684\u4e00\u7cfb\u5217\u8bb2\u4e49\uff0c\u4e3b\u8981\u4ecb\u7ecd\u4e86\u6570\u5b57\u7cfb\u7edf\u7684\u57fa\u7840\u77e5\u8bc6\u548c\u5e03\u5c14\u4ee3\u6570\u53ca\u5176\u5728\u7535\u8def\u8bbe\u8ba1\u4e2d\u7684\u5e94\u7528\u3002\u4ee5\u4e0b\u662f\u6838\u5fc3\u5185\u5bb9\u7684\u6982\u8ff0:</p> <ol> <li> <p>\u6570\u5b57\u7cfb\u7edf\u4ecb\u7ecd:    - \u6570\u5b57\u7cfb\u7edf\u4f7f\u7528\u79bb\u6563\u503c\uff0c\u53ef\u4ee5\u662f\u5f00\uff081\uff09\u6216\u5173\uff080\uff09\uff0c\u4e0e\u6a21\u62df\u7cfb\u7edf\u76f8\u5bf9\uff0c\u540e\u8005\u5177\u6709\u8fde\u7eed\u7684\u503c\u8303\u56f4\u3002</p> </li> <li> <p>\u903b\u8f91\u95e8:    - \u903b\u8f91\u95e8\u662f\u6570\u5b57\u7535\u8def\u7684\u6784\u5efa\u5757\uff0c\u5305\u62ecAND\u3001OR\u3001XOR\u3001NOT\u3001NAND\u3001NOR\u548cXNOR\u7b49\u3002</p> </li> <li> <p>\u5e03\u5c14\u4ee3\u6570:    - \u5e03\u5c14\u4ee3\u6570\u662f\u6570\u5b66\u7684\u4e00\u4e2a\u5206\u652f\uff0c\u4e13\u95e8\u5904\u74060\u548c1\u7684\u8fd0\u7b97\uff0c\u57fa\u672c\u64cd\u4f5c\u5305\u62ecAND\uff08&amp;\uff09\u3001OR\uff08|\uff09\u548cNOT\uff08~\uff09\u3002</p> </li> <li> <p>\u5e03\u5c14\u4ee3\u6570\u7684\u89c4\u5219:    - \u5305\u62ec\u4e92\u8865\u5f8b\u3001\u96f6\u5f8b\u3001\u6052\u7b49\u5f8b\u3001\u5e42\u7b49\u5f8b\u3001\u4ea4\u6362\u5f8b\u3001\u7ed3\u5408\u5f8b\u548c\u5206\u914d\u5f8b\u7b49\u3002</p> </li> <li> <p>\u5fb7\u6469\u6839\u5b9a\u5f8b:    - \u63cf\u8ff0\u4e86AND\u548cOR\u64cd\u4f5c\u7684\u5bf9\u5076\u6027\uff0c\u5982<code>A(B + C)</code>\u7b49\u540c\u4e8e<code>AB + AC</code>\u3002</p> </li> <li> <p>\u5e03\u5c14\u4ee3\u6570\u7684\u5e94\u7528:    - \u4f7f\u7528\u5e03\u5c14\u4ee3\u6570\u7b80\u5316\u7535\u8def\uff0c\u5982\u901a\u8fc7\u5e03\u5c14\u4ee3\u6570\u89c4\u5219\u7b80\u5316\u8868\u8fbe\u5f0f<code>out = AB + B + C</code>\u4e3a<code>out = B + C</code>\u3002</p> </li> <li> <p>\u771f\u503c\u8868:    - \u7528\u4e8e\u8868\u793a\u5e03\u5c14\u65b9\u7a0b\u7684\u6240\u6709\u53ef\u80fd\u8f93\u5165\u548c\u8f93\u51fa\uff0c\u662f\u8bbe\u8ba1\u548c\u9a8c\u8bc1\u903b\u8f91\u7535\u8def\u7684\u91cd\u8981\u5de5\u5177\u3002</p> </li> <li> <p>\u903b\u8f91\u7535\u8def\u56fe:    - \u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u903b\u8f91\u95e8\u5b9e\u73b0\u5e03\u5c14\u65b9\u7a0b\uff0c\u5982<code>out = AB + CD</code>\u3002</p> </li> <li> <p>\u5f02\u6216\uff08XOR\uff09\u548c\u540c\u6216\uff08XNOR\uff09\u7684\u5b9e\u73b0:    - \u63cf\u8ff0\u4e86\u5982\u4f55\u4ec5\u4f7f\u7528AND\u548cOR\u95e8\u6765\u6784\u5efaXOR\u548cXNOR\u903b\u8f91\u3002</p> </li> <li> <p>\u52a0\u6cd5\u5668\u7684\u6784\u5efa:</p> <ul> <li>\u5305\u62ec\u534a\u52a0\u5668\uff08Half Adder\uff09\u548c\u5168\u52a0\u5668\uff08Full Adder\uff09\u7684\u8bbe\u8ba1\uff0c\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u5b83\u4eec\u6784\u5efa\u591a\u4f4d\u52a0\u6cd5\u5668\u3002</li> </ul> </li> <li> <p>\u7b97\u672f\u903b\u8f91\u5355\u5143\uff08ALU\uff09:</p> <ul> <li>\u4ecb\u7ecdALU\u7684\u4f5c\u7528\uff0c\u5b83\u53ef\u4ee5\u6267\u884c\u6574\u6570\u4e8c\u8fdb\u5236\u6570\u7684\u7b97\u672f\u548c\u903b\u8f91\u64cd\u4f5c\u3002</li> </ul> </li> <li> <p>\u7ec4\u5408\u903b\u8f91:</p> <ul> <li>\u63cf\u8ff0\u4e86\u7ec4\u5408\u903b\u8f91\u7684\u7279\u6027\uff0c\u5373\u8f93\u51fa\u4ec5\u4f9d\u8d56\u4e8e\u5f53\u524d\u8f93\u5165\uff0c\u5e76\u4e14\u4e00\u65e6\u8f93\u5165\u53ef\u7528\uff0c\u8f93\u51fa\u5c31\u5f00\u59cb\u88ab\u8ba1\u7b97\u3002</li> </ul> </li> <li> <p>\u591a\u8def\u590d\u7528\u5668\uff08Multiplexer\uff09:</p> <ul> <li>2:1\u591a\u8def\u590d\u7528\u5668\u7684\u9009\u62e9\u903b\u8f91\uff0c\u53ef\u4ee5\u6839\u636e\u9009\u62e9\u4fe1\u53f7\u4ece\u4e24\u4e2a\u8f93\u5165\u4e2d\u9009\u62e9\u4e00\u4e2a\u8f93\u51fa\u3002</li> </ul> </li> <li> <p>\u5b58\u50a8\u683c\u5f0f\u793a\u4f8b:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5728RISC-V\u6c47\u7f16\u8bed\u8a00\u4e2d\u5b58\u50a8\u6307\u4ee4\uff0c\u4f8b\u5982<code>sw x14, 36(x5)</code>\u7684\u4e8c\u8fdb\u5236\u683c\u5f0f\u3002</li> </ul> </li> <li> <p>\u4e0d\u540c\u8868\u793a/\u89e3\u91ca\u5c42\u6b21:</p> <ul> <li>\u4ece\u9ad8\u7ea7\u8bed\u8a00\u7a0b\u5e8f\u5230\u6c47\u7f16\u8bed\u8a00\u7a0b\u5e8f\uff0c\u518d\u5230\u673a\u5668\u8bed\u8a00\u7a0b\u5e8f\uff0c\u4ee5\u53ca\u786c\u4ef6\u67b6\u6784\u63cf\u8ff0\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e9b\u8bb2\u4e49\u63d0\u4f9b\u4e86\u5bf9\u6570\u5b57\u7cfb\u7edf\u8bbe\u8ba1\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5305\u62ec\u5e03\u5c14\u4ee3\u6570\u7684\u539f\u7406\u3001\u903b\u8f91\u95e8\u7684\u5de5\u4f5c\u539f\u7406\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u8fd9\u4e9b\u5de5\u5177\u6765\u6784\u5efa\u548c\u7b80\u5316\u6570\u5b57\u7535\u8def\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec11/","title":"Cs61c lec11","text":"<p> \u7ea6 640 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u6587\u4ef6\u662f\u5173\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u5e74McMahon\u548cWeaver\u8bfe\u7a0b\u7684\u4e00\u7cfb\u5217\u8bb2\u4e49\uff0c\u6db5\u76d6\u4e86\u6570\u5b57\u7cfb\u7edf\u7684\u540c\u6b65\u7279\u6027\u3001\u89e6\u53d1\u5668\u3001\u65f6\u949f\u4fe1\u53f7\u3001\u7ec4\u5408\u903b\u8f91\u4e0e\u65f6\u5e8f\u903b\u8f91\u3001\u4ee5\u53ca\u6676\u4f53\u7ba1\u7684\u57fa\u7840\u77e5\u8bc6\u3002\u4ee5\u4e0b\u662f\u6838\u5fc3\u5185\u5bb9\u7684\u6982\u8ff0:</p> <ol> <li> <p>\u540c\u6b65\u6570\u5b57\u7cfb\u7edf:    - \u6240\u6709\u64cd\u4f5c\u90fd\u7531\u65f6\u949f\u4fe1\u53f7\u534f\u8c03\u3002</p> </li> <li> <p>\u7d2f\u52a0\u5668\uff08Accumulator\uff09\u793a\u4f8b:    - \u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u7d2f\u52a0\u5668\u9010\u6b65\u7d2f\u52a0\u8f93\u5165\u503c\u3002</p> </li> <li> <p>\u65f6\u949f\u4fe1\u53f7\uff08Clock Signal\uff09:    - \u65f6\u949f\u4fe1\u53f7\u5728\u9ad8\u4f4e\u72b6\u6001\u4e4b\u95f4\u632f\u8361\uff0c\u5b9a\u4e49\u4e86\u5468\u671f\uff08Period\uff09\u548c\u9891\u7387\uff08Frequency\uff09\u3002</p> </li> <li> <p>D\u89e6\u53d1\u5668\uff08D Flip-Flops\uff09:    - \u7528\u4e8e\u5b58\u50a8\u6570\u636e\uff0c\u4f9d\u8d56\u4e8e\u65f6\u949f\u4fe1\u53f7\u7684\u4e0a\u5347\u6cbf\u6216\u4e0b\u964d\u6cbf\u6765\u66f4\u65b0\u8f93\u51fa\u3002</p> </li> <li> <p>\u89e6\u53d1\u5668\u7c7b\u578b:    - \u540c\u6b65\u89e6\u53d1\u5668:\u4f9d\u8d56\u4e8e\u65f6\u949f\u4fe1\u53f7\u3002    - \u5f02\u6b65\u89e6\u53d1\u5668:\u72ec\u7acb\u4e8e\u65f6\u949f\u4fe1\u53f7\u3002</p> </li> <li> <p>\u89e6\u53d1\u5668\u7684\u65f6\u5e8f:    - \u5305\u62ecClock-to-Q\u5ef6\u8fdf\u3001\u5efa\u7acb\u65f6\u95f4\uff08Set-up Time\uff09\u3001\u4fdd\u6301\u65f6\u95f4\uff08Hold Time\uff09\u3002</p> </li> <li> <p>\u5bc4\u5b58\u5668\uff08Registers\uff09:    - \u7531\u591a\u4e2a\u89e6\u53d1\u5668\u7ec4\u6210\uff0c\u7528\u4e8e\u5b58\u50a832\u4f4d\u6570\u503c\u3002</p> </li> <li> <p>\u7ec4\u5408\u903b\u8f91\uff08Combinational Logic\uff09:    - \u63cf\u8ff0\u4e86\u7ec4\u5408\u903b\u8f91\u7684\u5ef6\u8fdf\u548c\u5982\u4f55\u901a\u8fc7\u7ec4\u5408\u903b\u8f91\u4f20\u64ad\u503c\u3002</p> </li> <li> <p>\u65f6\u949f\u5468\u671f\u65f6\u95f4\uff08Clock Cycle Time\uff09:    - \u5b9a\u4e49\u4e86\u6700\u5c0f\u65f6\u949f\u5468\u671f\u65f6\u95f4\uff0c\u5373\u4ece\u4e00\u4e2a\u72b6\u6001\u5143\u7d20\u7684\u8f93\u5165\u5230\u8fbe\u4e0b\u4e00\u4e2a\u72b6\u6001\u5143\u7d20\u7684\u8f93\u5165\u6240\u9700\u7684\u65f6\u95f4\u3002</p> </li> <li> <p>\u7535\u8def\u65f6\u5e8f\u5206\u6790:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5982\u4f55\u5206\u6790\u7535\u8def\u7684\u65f6\u5e8f\uff0c\u4f46\u6ca1\u6709\u6db5\u76d6\u66f4\u590d\u6742\u7684\u4f8b\u5b50\u3002</li> </ul> </li> <li> <p>\u7ec4\u5408\u903b\u8f91\u4e0e\u65f6\u5e8f\u903b\u8f91\uff08Combinational vs Sequential Logic\uff09:</p> <ul> <li>\u7ec4\u5408\u903b\u8f91:\u8f93\u51fa\u4ec5\u4f9d\u8d56\u4e8e\u5f53\u524d\u8f93\u5165\u3002</li> <li>\u65f6\u5e8f\u903b\u8f91:\u4e0e\u65f6\u949f\u4fe1\u53f7\u540c\u6b65\uff0c\u8f93\u51fa\u4f9d\u8d56\u4e8e\u8f93\u5165\u548c\u5148\u524d\u72b6\u6001\u7684\u7ec4\u5408\u3002</li> </ul> </li> <li> <p>\u6676\u4f53\u7ba1\uff08Transistors\uff09:</p> <ul> <li>\u8ba8\u8bba\u4e86\u91d1\u5c5e\u6c27\u5316\u7269\u534a\u5bfc\u4f53\u573a\u6548\u5e94\u6676\u4f53\u7ba1\uff08MOSFET\uff09\u7684\u5de5\u4f5c\u539f\u7406\u3002</li> </ul> </li> <li> <p>CMOS\uff08\u4e92\u8865\u91d1\u5c5e\u6c27\u5316\u7269\u534a\u5bfc\u4f53\uff09:</p> <ul> <li>\u4f7f\u7528p\u578b\u548cn\u578bMOSFET\u7684\u4e92\u8865\u548c\u5bf9\u79f0\u5bf9\u6765\u6784\u5efa\u903b\u8f91\u529f\u80fd\u3002</li> </ul> </li> <li> <p>\u903b\u8f91\u95e8\u7684\u6676\u4f53\u7ba1\u5b9e\u73b0:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u6676\u4f53\u7ba1\u6784\u5efa\u975e\u95e8\uff08Inverter\uff09\u3001\u4e0e\u95e8\uff08AND Gate\uff09\u3001\u6216\u95e8\uff08OR Gate\uff09\u3001\u4e0e\u975e\u95e8\uff08NAND Gate\uff09\u548c\u6216\u975e\u95e8\uff08NOR Gate\uff09\u3002</li> </ul> </li> <li> <p>\u5fb7\u6469\u6839\u5b9a\u5f8b\uff08DeMorgan\u2019s Law\uff09:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5982\u4f55\u4f7f\u7528\u975e\u95e8\u3001\u4e0e\u95e8\u548c\u6216\u95e8\u6765\u5b9e\u73b0\u903b\u8f91\u529f\u80fd\u3002</li> </ul> </li> <li> <p>\u6676\u4f53\u7ba1\u6570\u91cf\u7684\u4f18\u5316:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5982\u4f55\u901a\u8fc7\u5fb7\u6469\u6839\u5b9a\u5f8b\u5c06\u4e0e\u95e8\u548c\u6216\u95e8\u8f6c\u6362\u4e3a\u4e0e\u975e\u95e8\u548c\u6216\u975e\u95e8\u6765\u51cf\u5c11\u6676\u4f53\u7ba1\u6570\u91cf\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e9b\u8bb2\u4e49\u63d0\u4f9b\u4e86\u5bf9\u6570\u5b57\u7cfb\u7edf\u8bbe\u8ba1\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5305\u62ec\u540c\u6b65\u64cd\u4f5c\u3001\u89e6\u53d1\u5668\u7684\u5de5\u4f5c\u539f\u7406\u3001\u65f6\u949f\u4fe1\u53f7\u7684\u91cd\u8981\u6027\u3001\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u6676\u4f53\u7ba1\u6784\u5efa\u57fa\u672c\u7684\u903b\u8f91\u95e8\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec12/","title":"Cs61c lec12","text":"<p> \u7ea6 911 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec12.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531McMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u805a\u7126\u4e8eRISC-V\u5904\u7406\u5668\u8bbe\u8ba1\uff0c\u7279\u522b\u662f\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u548c\u5b9e\u73b0\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>CMOS\u7535\u8def\u7684\u73b0\u5b9e\u95ee\u9898:    - \u8ba8\u8bba\u4e86CMOS\uff08\u4e92\u8865\u91d1\u5c5e\u6c27\u5316\u7269\u534a\u5bfc\u4f53\uff09\u7535\u8def\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u9762\u4e34\u7684\u4e00\u4e9b\u6311\u6218\uff0c\u4f8b\u5982\u6676\u4f53\u7ba1\u4e0d\u662f\u5b8c\u7f8e\u7684\u5f00\u5173\uff0c\u5b58\u5728\u6f0f\u7535\u6d41\u548c\u6709\u9650\u7684\u5bfc\u901a\u7535\u963b\uff1b\u7535\u8def\u8282\u70b9\u5177\u6709\u7535\u5bb9\uff0c\u6539\u53d8\u7535\u538b\u9700\u8981\u5145\u653e\u7535\u3002</p> </li> <li> <p>\u6676\u4f53\u7ba1\u4f5c\u4e3a\u6c34\u9600\u7684\u7c7b\u6bd4:    - \u4f7f\u7528\u6c34\u9600\u548c\u6c34\u7ba1\u7684\u7c7b\u6bd4\u6765\u89e3\u91ca\u6676\u4f53\u7ba1\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u5176\u4e2d\u7535\u5b50\u50cf\u6c34\u5206\u5b50\uff0c\u6676\u4f53\u7ba1\u7684\u7535\u963b\u7c7b\u4f3c\u4e8e\u6c34\u7ba1\u76f4\u5f84\uff0c\u7535\u5bb9\u50cf\u6c34\u6876\u3002</p> </li> <li> <p>\u903b\u8f91\u95e8\u7684\u5ef6\u8fdf:    - \u63cf\u8ff0\u4e86\u903b\u8f91\u95e8\uff08\u5982\u4e0e\u95e8\u3001\u6216\u95e8\u3001\u975e\u95e8\u7b49\uff09\u5728\u8f93\u5165\u53d8\u5316\u5230\u8f93\u51fa\u53d8\u5316\u4e4b\u95f4\u7684\u5ef6\u8fdf\uff0c\u8fd9\u79cd\u5ef6\u8fdf\u53d6\u51b3\u4e8e\u95e8\u7684\u7c7b\u578b\u3001\u8fde\u63a5\u5230\u7684\u5176\u5b83\u95e8\u7684\u6570\u91cf\u4ee5\u53ca\u96c6\u6210\u7535\u8def\u5de5\u827a\u7ec6\u8282\u3002</p> </li> <li> <p>CMOS\u7535\u8def\u7684\u80fd\u8017:    - \u8ba8\u8bba\u4e86CMOS\u7535\u8def\u5728\u8fd0\u884c\u65f6\u6d88\u8017\u7535\u80fd\u7684\u95ee\u9898\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u624b\u6301\u8bbe\u5907\u548c\u670d\u52a1\u5668\u7b49\u4e0d\u540c\u5e94\u7528\u573a\u666f\u4e0b\u7684\u80fd\u6548\u548c\u6563\u70ed\u95ee\u9898\u3002</p> </li> <li> <p>\u5f00\u5173\u80fd\u91cf:    - \u57fa\u4e8e\u57fa\u672c\u7269\u7406\u539f\u7406\uff0c\u89e3\u91ca\u4e86\u6bcf\u6b21\u903b\u8f91\u72b6\u6001\u8f6c\u6362\u90fd\u4f1a\u6d88\u8017\u80fd\u91cf\uff0c\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u95e8\u7684\u5f00\u5173\u80fd\u8017\u3002</p> </li> <li> <p>\u964d\u4f4e\u80fd\u8017\u7684\u65b9\u6cd5:    - \u63d0\u51fa\u4e86\u964d\u4f4e\u7535\u6e90\u7535\u538b\u548c\u4f7f\u7528\u5e76\u884c\u6027\u6765\u63d0\u9ad8\u80fd\u6548\u7684\u65b9\u6cd5\uff0c\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u964d\u4f4e\u9891\u7387\u5e76\u4e0d\u63d0\u9ad8\u80fd\u6548\u3002</p> </li> <li> <p>\u62bd\u8c61\u7684\u6982\u5ff5:    - \u8ba8\u8bba\u4e86\u5728\u5904\u7406\u5668\u8bbe\u8ba1\u4e2d\u4f7f\u7528\u62bd\u8c61\u7684\u6982\u5ff5\uff0c\u4ece\u9ad8\u7ea7\u8bed\u8a00\u5230\u6c47\u7f16\u8bed\u8a00\uff0c\u518d\u5230\u673a\u5668\u8bed\u8a00\u548c\u786c\u4ef6\u67b6\u6784\u63cf\u8ff0\u3002</p> </li> <li> <p>RV32I\u6307\u4ee4\u96c6\u67b6\u6784\uff08ISA\uff09\u7684\u72b6\u6001\u9700\u6c42:    - \u63cf\u8ff0\u4e86RV32I ISA\u5728\u6267\u884c\u6307\u4ee4\u65f6\u9700\u8981\u8bfb\u53d6\u548c\u66f4\u65b0\u7684\u72b6\u6001\uff0c\u5305\u62ec\u5bc4\u5b58\u5668\u3001\u7a0b\u5e8f\u8ba1\u6570\u5668\uff08PC\uff09\u548c\u5185\u5b58\u3002</p> </li> <li> <p>\u5355\u6307\u4ee4\u5468\u671fRISC-V\u673a\u5668:    - \u89e3\u91ca\u4e86\u5728\u5355\u6307\u4ee4\u5468\u671fRISC-V\u673a\u5668\u4e2d\uff0c\u5982\u4f55\u901a\u8fc7\u7ec4\u5408\u903b\u8f91\u548c\u65f6\u949f\u4fe1\u53f7\u5728\u6bcf\u4e2a\u65f6\u949f\u5468\u671f\u6267\u884c\u4e00\u6761\u6307\u4ee4\u3002</p> </li> <li> <p>\u6307\u4ee4\u6267\u884c\u7684\u57fa\u672c\u9636\u6bb5:</p> <ul> <li>\u63cf\u8ff0\u4e86\u6307\u4ee4\u6267\u884c\u7684\u4e94\u4e2a\u57fa\u672c\u9636\u6bb5:\u6307\u4ee4\u83b7\u53d6\uff08IF\uff09\u3001\u6307\u4ee4\u89e3\u7801/\u5bc4\u5b58\u5668\u8bfb\u53d6\uff08ID\uff09\u3001\u6267\u884c\uff08EX\uff09\u3001\u5185\u5b58\u8bbf\u95ee\uff08MEM\uff09\u548c\u5bc4\u5b58\u5668\u5199\u56de\uff08WB\uff09\u3002</li> </ul> </li> <li> <p>\u5b9e\u73b0\u7279\u5b9aRISC-V\u6307\u4ee4:</p> <ul> <li>\u901a\u8fc7<code>add</code>\u3001<code>sub</code>\u3001<code>addi</code>\u3001<code>lw</code>\u3001<code>sw</code>\u7b49\u6307\u4ee4\u7684\u4f8b\u5b50\uff0c\u5c55\u793a\u4e86\u5982\u4f55\u5728\u6570\u636e\u8def\u5f84\u4e2d\u5b9e\u73b0\u8fd9\u4e9b\u6307\u4ee4\u3002</li> </ul> </li> <li> <p>\u6570\u636e\u8def\u5f84\u7684\u6269\u5c55:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u5c06\u6570\u636e\u8def\u5f84\u6269\u5c55\u4ee5\u652f\u6301\u4e0d\u540c\u7c7b\u578b\u7684\u6307\u4ee4\uff0c\u4f8b\u5982\u7acb\u5373\u6570\u751f\u6210\u3001\u5206\u652f\u6307\u4ee4\u548c\u8df3\u8f6c\u6307\u4ee4\u3002</li> </ul> </li> <li> <p>\u63a7\u5236\u903b\u8f91:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63a7\u5236\u903b\u8f91\u5982\u4f55\u6839\u636e\u6307\u4ee4\u6765\u6307\u5bfc\u6570\u636e\u8def\u5f84\u7684\u64cd\u4f5c\uff0c\u5305\u62ecALU\u9009\u62e9\u3001\u5185\u5b58\u8bfb\u5199\u9009\u62e9\u548c\u5bc4\u5b58\u5668\u5199\u56de\u9009\u62e9\u3002</li> </ul> </li> <li> <p>\u901a\u7528\u6570\u636e\u8def\u5f84:</p> <ul> <li>\u5f3a\u8c03\u4e86\u6570\u636e\u8def\u5f84\u662f\u6240\u6709\u6307\u4ee4\u6240\u9700\u5355\u5143\u7684\u201c\u8054\u5408\u201d\uff0c\u901a\u8fc7\u591a\u8def\u9009\u62e9\u5668\u63d0\u4f9b\u9009\u9879\uff0c\u4f46\u5e76\u975e\u6240\u6709\u786c\u4ef6\u5355\u5143\u5728\u6240\u6709\u6307\u4ee4\u4e2d\u90fd\u88ab\u4f7f\u7528\u3002</li> </ul> </li> <li> <p>\u6267\u884c\u9636\u6bb5:</p> <ul> <li>\u63cf\u8ff0\u4e86\u6307\u4ee4\u6267\u884c\u7684\u4e94\u4e2a\u9636\u6bb5\uff0c\u4ee5\u53ca\u4e0d\u662f\u6240\u6709\u6307\u4ee4\u5728\u6240\u6709\u9636\u6bb5\u90fd\u6d3b\u8dc3\u3002</li> </ul> </li> <li> <p>\u63a7\u5236\u903b\u8f91\u7684\u5b9e\u73b0:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63a7\u5236\u903b\u8f91\u53ef\u4ee5\u901a\u8fc7\u67e5\u627e\u8868\uff08\u4f8b\u5982ROM\uff09\u6216\u7ec4\u5408\u903b\u8f91\u6765\u5b9e\u73b0\uff0c\u5e76\u5c55\u793a\u4e86\u63a7\u5236\u4fe1\u53f7\u7684\u771f\u503c\u8868\u3002</li> </ul> </li> </ol> <p>\u901a\u8fc7\u8fd9\u4e9b\u5185\u5bb9\uff0c<code>lec12.pdf</code>\u63d0\u4f9b\u4e86\u5bf9RISC-V\u5904\u7406\u5668\u6570\u636e\u8def\u5f84\u8bbe\u8ba1\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5305\u62ec\u5982\u4f55\u5904\u7406\u4e0d\u540c\u7c7b\u578b\u7684\u6307\u4ee4\u4ee5\u53ca\u5982\u4f55\u8bbe\u8ba1\u63a7\u5236\u903b\u8f91\u4ee5\u9a71\u52a8\u6570\u636e\u8def\u5f84\u7684\u64cd\u4f5c\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec13/","title":"Cs61c lec13","text":"<p> \u7ea6 891 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec13.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632020\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531Kolb\u548cWeaver\u4ee5\u53caMcMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u8bb2\u89e3\u4e86RISC-V\u6307\u4ee4\u96c6\u67b6\u6784\u4e2d\u5355\u5468\u671f(Single-Cycle)\u548c\u6d41\u6c34\u7ebf(Pipelined)\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u548c\u63a7\u5236\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>\u5355\u5468\u671fRISC-V\u6570\u636e\u8def\u5f84\u5b8c\u6210:    - \u4ecb\u7ecd\u4e86\u5982\u4f55\u5b8c\u6210\u5355\u5468\u671fRISC-V\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\uff0c\u786e\u4fdd\u6bcf\u4e2aRISC-V\u6307\u4ee4\u53ef\u4ee5\u5728\u4e00\u4e2a\u65f6\u949f\u5468\u671f\u5185\u6267\u884c\u3002</p> </li> <li> <p>\u63a7\u5236\u5668(Controller):    - \u63a7\u5236\u5668\u662f\u544a\u8bc9\u901a\u7528\u6570\u636e\u8def\u5f84\u5982\u4f55\u6267\u884c\u6bcf\u6761\u6307\u4ee4\u7684\u90e8\u5206\u3002\u5b83\u6839\u636e\u6307\u4ee4\u7684\u7c7b\u578b\u751f\u6210\u76f8\u5e94\u7684\u63a7\u5236\u4fe1\u53f7\u3002</p> </li> <li> <p>\u6307\u4ee4\u5b9a\u65f6(Instruction Timing):    - \u8ba8\u8bba\u4e86\u4e0d\u540c\u7c7b\u578b\u7684\u6307\u4ee4\u5728\u6267\u884c\u65f6\u6240\u9700\u7684\u65f6\u95f4\uff0c\u5305\u62ec\u53d6\u6307(IF)\u3001\u8bd1\u7801(ID)\u3001\u6267\u884c(EX)\u3001\u8bbf\u5b58(MEM)\u548c\u5199\u56de(WB)\u9636\u6bb5\u3002</p> </li> <li> <p>\u6027\u80fd\u5ea6\u91cf(Performance Measures):    - \u4ecb\u7ecd\u4e86\u8bc4\u4f30\u5904\u7406\u5668\u6027\u80fd\u7684\u4e0d\u540c\u6307\u6807\uff0c\u5982\u65f6\u949f\u9891\u7387\u3001\u6307\u4ee4\u6267\u884c\u65f6\u95f4\u3001\u541e\u5410\u91cf\u7b49\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u4ecb\u7ecd(Introduction to Pipelining):    - \u8bb2\u89e3\u4e86\u6d41\u6c34\u7ebf\u7684\u6982\u5ff5\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6d41\u6c34\u7ebf\u63d0\u9ad8\u5904\u7406\u5668\u7684\u6307\u4ee4\u541e\u5410\u91cf\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebfRISC-V\u6570\u636e\u8def\u5f84(Pipelined RISC-V Datapath):    - \u8be6\u7ec6\u4ecb\u7ecd\u4e86\u6d41\u6c34\u7ebfRISC-V\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\uff0c\u5305\u62ec\u6d41\u6c34\u7ebf\u7684\u5404\u4e2a\u9636\u6bb5\u548c\u5b83\u4eec\u5982\u4f55\u534f\u540c\u5de5\u4f5c\u3002</p> </li> <li> <p>\u5b9e\u73b0jal\u6307\u4ee4:    - \u7279\u522b\u4ecb\u7ecd\u4e86jal\uff08\u8df3\u8f6c\u5e76\u94fe\u63a5\uff09\u6307\u4ee4\u7684\u5b9e\u73b0\uff0c\u5305\u62ec\u5982\u4f55\u5728\u5bc4\u5b58\u5668\u4e2d\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\uff0c\u4ee5\u53ca\u5982\u4f55\u8bbe\u7f6e\u7a0b\u5e8f\u8ba1\u6570\u5668\u4ee5\u5b9e\u73b0\u8df3\u8f6c\u3002</p> </li> <li> <p>\u6570\u636e\u8def\u5f84\u6dfb\u52a0jal:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u6570\u636e\u8def\u5f84\u4e2d\u6dfb\u52a0\u5bf9jal\u6307\u4ee4\u7684\u652f\u6301\uff0c\u5305\u62ec\u6240\u9700\u7684\u63a7\u5236\u4fe1\u53f7\u548c\u6570\u636e\u8def\u5f84\u7684\u53d8\u5316\u3002</p> </li> <li> <p>\u5355\u5468\u671fRV32I\u6570\u636e\u8def\u5f84\u56de\u987e:    - \u56de\u987e\u4e86\u5355\u5468\u671fRV32I\u6307\u4ee4\u96c6\u67b6\u6784\u7684\u6570\u636e\u8def\u5f84\u8bbe\u8ba1\uff0c\u5305\u62ecALU\u3001\u5bc4\u5b58\u5668\u3001\u5185\u5b58\u7b49\u7ec4\u4ef6\u3002</p> </li> <li> <p>\u901a\u7528\u6570\u636e\u8def\u5f84:    - \u8ba8\u8bba\u4e86\u901a\u7528\u6570\u636e\u8def\u5f84\u7684\u6982\u5ff5\uff0c\u5373\u6570\u636e\u8def\u5f84\u80fd\u591f\u6267\u884c\u6240\u6709RISC-V\u6307\u4ee4\uff0c\u4ee5\u53ca\u5b83\u662f\u5982\u4f55\u901a\u8fc7\u591a\u8def\u9009\u62e9\u5668\u5b9e\u73b0\u4e0d\u540c\u6307\u4ee4\u7684\u6267\u884c\u3002</p> </li> <li> <p>\u63a7\u5236\u903b\u8f91:    - \u4ecb\u7ecd\u4e86\u63a7\u5236\u903b\u8f91\u7684\u8bbe\u8ba1\uff0c\u5305\u62ec\u5982\u4f55\u4f7f\u7528\u771f\u503c\u8868\u6765\u786e\u5b9a\u6bcf\u6761\u6307\u4ee4\u6240\u9700\u7684\u63a7\u5236\u4fe1\u53f7\u3002</p> </li> <li> <p>\u63a7\u5236\u5668\u5b9e\u73b0\u9009\u9879:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63a7\u5236\u5668\u7684\u4e24\u79cd\u5b9e\u73b0\u65b9\u5f0f:\u53ea\u8bfb\u5b58\u50a8\u5668(ROM)\u548c\u7ec4\u5408\u903b\u8f91(Combinatorial Logic)\u3002</li> </ul> </li> <li> <p>ROM\u63a7\u5236\u5668\u5b9e\u73b0:</p> <ul> <li>\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528ROM\u6765\u5b9e\u73b0\u63a7\u5236\u5668\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u5730\u5740\u89e3\u7801\u6765\u751f\u6210\u63a7\u5236\u4fe1\u53f7\u3002</li> </ul> </li> <li> <p>\u6307\u4ee4\u5b9a\u65f6:</p> <ul> <li>\u5206\u6790\u4e86\u4e0d\u540c\u6307\u4ee4\u5728\u6267\u884c\u65f6\u7684\u5178\u578b\u6700\u574f\u60c5\u51b5\u65f6\u95f4\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6d41\u6c34\u7ebf\u6765\u63d0\u9ad8\u65f6\u949f\u9891\u7387\u3002</li> </ul> </li> <li> <p>\u6027\u80fd\u5ea6\u91cf:</p> <ul> <li>\u8fdb\u4e00\u6b65\u8ba8\u8bba\u4e86\u6027\u80fd\u5ea6\u91cf\u7684\u6982\u5ff5\uff0c\u5305\u62ec\u5982\u4f55\u7406\u89e3\u6307\u4ee4\u6267\u884c\u65f6\u95f4\u3001\u541e\u5410\u91cf\u548c\u80fd\u6548\u3002</li> </ul> </li> <li> <p>\u8fd0\u8f93\u7c7b\u6bd4:</p> <ul> <li>\u4f7f\u7528\u8d5b\u8f66\u548c\u516c\u4ea4\u8f66\u7684\u7c7b\u6bd4\u6765\u89e3\u91ca\u6307\u4ee4\u6267\u884c\u65f6\u95f4\uff08\u5ef6\u8fdf\uff09\u3001\u6307\u4ee4\u6267\u884c\u603b\u91cf\uff08\u541e\u5410\u91cf\uff09\u548c\u6bcf\u6761\u6307\u4ee4\u7684\u80fd\u8017\uff08\u80fd\u6548\uff09\u3002</li> </ul> </li> <li> <p>\u5904\u7406\u5668\u6027\u80fd\u7684\u201c\u94c1\u5f8b\u201d:</p> <ul> <li>\u8ba8\u8bba\u4e86\u7a0b\u5e8f\u6267\u884c\u65f6\u95f4\u7531\u6307\u4ee4\u6570\u3001\u6bcf\u6761\u6307\u4ee4\u7684\u65f6\u949f\u5468\u671f\u6570\u548c\u6bcf\u4e2a\u65f6\u949f\u5468\u671f\u7684\u65f6\u95f4\u5171\u540c\u51b3\u5b9a\u7684\u539f\u7406\u3002</li> </ul> </li> <li> <p>\u7ed3\u675f\u8bed:</p> <ul> <li>\u603b\u7ed3\u4e86\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u3001\u63a7\u5236\u5668\u7684\u4f5c\u7528\u3001\u6307\u4ee4\u5b9a\u65f6\u7684\u91cd\u8981\u6027\u4ee5\u53ca\u6d41\u6c34\u7ebf\u5982\u4f55\u63d0\u9ad8\u6027\u80fd\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4efd\u8bb2\u5ea7\u5e7b\u706f\u7247\u4e3a\u7406\u89e3RISC-V\u67b6\u6784\u4e2d\u5355\u5468\u671f\u548c\u6d41\u6c34\u7ebf\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u6df1\u5165\u7684\u5206\u6790\uff0c\u6db5\u76d6\u4e86\u4ece\u6307\u4ee4\u6267\u884c\u7684\u57fa\u7840\u77e5\u8bc6\u5230\u9ad8\u7ea7\u6027\u80fd\u4f18\u5316\u7684\u591a\u4e2a\u65b9\u9762\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec14/","title":"Cs61c lec14","text":"<p> \u7ea6 916 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec14.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u8bfe\u7a0b\u7684\u7b2c14\u8bb2\uff0c\u7531Wawrzynek\u548cWeaver\u57282021\u5e74\u79cb\u5b63\u5b66\u671f\u8bb2\u6388\uff0c\u4e3b\u8981\u5185\u5bb9\u5305\u62ecRISC-V\u6d41\u6c34\u7ebf\u5904\u7406\u7684\u6df1\u5165\u63a2\u8ba8\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>\u8bfe\u7a0b\u56de\u987e:    - \u56de\u987e\u4e86\u63a7\u5236\u5668\u7684\u4f5c\u7528\uff0c\u6307\u4ee4\u5b9a\u65f6\uff0c\u4ee5\u53ca\u6d41\u6c34\u7ebf\u5982\u4f55\u63d0\u9ad8\u6307\u4ee4\u7684\u541e\u5410\u91cf\uff0c\u4f46\u5e76\u4e0d\u51cf\u5c11\u5b8c\u6210\u5355\u6761\u6307\u4ee4\u6240\u9700\u7684\u65f6\u95f4\u3002    - \u8ba8\u8bba\u4e86\u4e0d\u540c\u7684\u6027\u80fd\u5ea6\u91cf\u6307\u6807\uff0c\u5982\u54cd\u5e94\u65f6\u95f4\u3001\u4efb\u52a1/\u79d2\u548c\u80fd\u6548\u3002</p> </li> <li> <p>\u5904\u7406\u5668\u7ec4\u6210:    - \u4ecb\u7ecd\u4e86\u5904\u7406\u5668\u7684\u57fa\u672c\u7ec4\u6210\u90e8\u5206\uff0c\u5305\u62ec\u63a7\u5236\u5355\u5143\u3001\u6570\u636e\u8def\u5f84\u3001\u7a0b\u5e8f\u8ba1\u6570\u5668(PC)\u3001\u5bc4\u5b58\u5668\u3001\u7b97\u672f\u903b\u8f91\u5355\u5143(ALU)\u3001\u5185\u5b58\u4ee5\u53ca\u5904\u7406\u5668-\u5185\u5b58\u63a5\u53e3\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u6982\u8ff0:    - \u89e3\u91ca\u4e86\u6d41\u6c34\u7ebf\u5982\u4f55\u5e2e\u52a9\u63d0\u9ad8\u6574\u4e2a\u5de5\u4f5c\u8d1f\u8f7d\u7684\u541e\u5410\u91cf\uff0c\u800c\u4e0d\u662f\u5355\u4e2a\u4efb\u52a1\u7684\u5ef6\u8fdf\u3002    - \u8ba8\u8bba\u4e86\u6f5c\u5728\u7684\u52a0\u901f\u6bd4\uff0c\u4ee5\u53ca\u586b\u6ee1\u6d41\u6c34\u7ebf\u548c\u6392\u7a7a\u5b83\u6240\u9700\u7684\u65f6\u95f4\u5982\u4f55\u5f71\u54cd\u52a0\u901f\u6bd4\u3002</p> </li> <li> <p>RISC-V\u6d41\u6c34\u7ebf:    - \u901a\u8fc7\u793a\u4f8b\u4ee3\u7801\uff0c\u5c55\u793a\u4e86RISC-V\u6307\u4ee4\u5728\u6d41\u6c34\u7ebf\u4e2d\u7684\u6267\u884c\u8fc7\u7a0b\uff0c\u5305\u62ec\u6307\u4ee4\u83b7\u53d6\u3001\u89e3\u7801/\u5bc4\u5b58\u5668\u8bfb\u53d6\u3001ALU\u6267\u884c\u3001\u5185\u5b58\u8bbf\u95ee\u548c\u5199\u56de\u9636\u6bb5\u3002</p> </li> <li> <p>\u5355\u5468\u671fRISC-V RV32I \u6570\u636e\u8def\u5f84:    - \u63cf\u8ff0\u4e86\u5355\u5468\u671f\u6570\u636e\u8def\u5f84\u7684\u7ec4\u6210\uff0c\u5305\u62ec\u6307\u4ee4\u5185\u5b58(IMEM)\u3001ALU\u3001\u7acb\u5373\u6570\u751f\u6210\u5668(Imm. Gen)\u3001\u6570\u636e\u5185\u5b58(DMEM)\u3001\u5206\u652f\u6bd4\u8f83\u5668\u7b49\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebfRISC-V RV32I \u6570\u636e\u8def\u5f84:    - \u8be6\u7ec6\u89e3\u91ca\u4e86\u6d41\u6c34\u7ebf\u6570\u636e\u8def\u5f84\u7684\u8bbe\u8ba1\uff0c\u5305\u62ec\u6d41\u6c34\u7ebf\u5bc4\u5b58\u5668\u5982\u4f55\u5206\u9694\u4e0d\u540c\u7684\u9636\u6bb5\uff0c\u5e76\u4fdd\u6301\u6bcf\u6761\u6307\u4ee4\u7684\u6570\u636e\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u63a7\u5236:    - \u8ba8\u8bba\u4e86\u63a7\u5236\u4fe1\u53f7\u662f\u5982\u4f55\u4ece\u6307\u4ee4\u4e2d\u6d3e\u751f\u51fa\u6765\u7684\uff0c\u4ee5\u53ca\u5982\u4f55\u5728\u6d41\u6c34\u7ebf\u7684\u5404\u4e2a\u9636\u6bb5\u4e2d\u4f7f\u7528\u6d41\u6c34\u7ebf\u5bc4\u5b58\u5668\u5b58\u50a8\u4fe1\u606f\u3002</p> </li> <li> <p>\u6d41\u6c34\u7ebf\u6027\u80fd\u63d0\u5347:    - \u901a\u8fc7\u516c\u5f0f\u89e3\u91ca\u4e86\u6d41\u6c34\u7ebf\u5982\u4f55\u901a\u8fc7\u51cf\u5c11\u6bcf\u4e2a\u5468\u671f\u7684\u65f6\u95f4\u6765\u63d0\u9ad8\u5904\u7406\u5668\u6027\u80fd\u3002</p> </li> <li> <p>\u98ce\u9669(Hazards):    - \u4ecb\u7ecd\u4e86\u6d41\u6c34\u7ebf\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u98ce\u9669\uff0c\u5305\u62ec\u7ed3\u6784\u6027\u98ce\u9669\u3001\u6570\u636e\u98ce\u9669\u548c\u63a7\u5236\u98ce\u9669\uff0c\u5e76\u8ba8\u8bba\u4e86\u5982\u4f55\u5904\u7406\u8fd9\u4e9b\u98ce\u9669\u3002</p> </li> <li> <p>\u7ed3\u6784\u6027\u98ce\u9669:</p> <ul> <li>\u89e3\u91ca\u4e86\u5f53\u6d41\u6c34\u7ebf\u4e2d\u7684\u591a\u6761\u6307\u4ee4\u7ade\u4e89\u5355\u4e00\u7269\u7406\u8d44\u6e90\u65f6\u51fa\u73b0\u7684\u95ee\u9898\uff0c\u4ee5\u53ca\u5982\u4f55\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u3002</li> </ul> </li> <li> <p>\u6570\u636e\u98ce\u9669:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5f53\u6307\u4ee4\u4f9d\u8d56\u4e8e\u524d\u4e00\u6761\u6307\u4ee4\u7684\u7ed3\u679c\u65f6\u5982\u4f55\u5904\u7406\uff0c\u5305\u62ec\u6682\u505c(Stalling)\u548c\u8f6c\u53d1(Forwarding)\u6280\u672f\u3002</li> </ul> </li> <li> <p>\u63a7\u5236\u98ce\u9669:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5206\u652f\u6307\u4ee4\u5982\u4f55\u5904\u7406\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u5206\u652f\u9884\u6d4b\u6765\u51cf\u5c11\u5206\u652f\u6307\u4ee4\u5e26\u6765\u7684\u6027\u80fd\u635f\u5931\u3002</li> </ul> </li> <li> <p>\u8d85\u6807\u91cf\u5904\u7406\u5668(Superscalar processors):</p> <ul> <li>\u4ecb\u7ecd\u4e86\u8d85\u6807\u91cf\u5904\u7406\u5668\u7684\u6982\u5ff5\uff0c\u5305\u62ec\u590d\u5236\u6d41\u6c34\u7ebf\u9636\u6bb5\u4ee5\u542f\u52a8\u591a\u4e2a\u6307\u4ee4\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6307\u4ee4\u7ea7\u5e76\u884c\u6027\u6765\u63d0\u9ad8\u6027\u80fd\u3002</li> </ul> </li> <li> <p>\u6027\u80fd\u63d0\u5347\u7b56\u7565:</p> <ul> <li>\u8ba8\u8bba\u4e86\u63d0\u9ad8\u5355\u5904\u7406\u5668\u6838\u5fc3\u6027\u80fd\u7684\u7b56\u7565\uff0c\u5305\u62ec\u63d0\u9ad8\u65f6\u949f\u9891\u7387\u3001\u6d41\u6c34\u7ebf\u6df1\u5ea6\u548c\u8d85\u6807\u91cf\u6267\u884c\u3002</li> </ul> </li> <li> <p>\u591a\u6838\u5904\u7406\u5668:</p> <ul> <li>\u8ba8\u8bba\u4e86\u591a\u6838\u5904\u7406\u5668\u7684\u6982\u5ff5\uff0c\u4ee5\u53ca\u5982\u4f55\u5728\u4e0d\u9700\u8981\u7edd\u5bf9\u6027\u80fd\u65f6\uff0c\u5728\u80fd\u6548\u4f18\u5316\u7684\u6838\u5fc3\u4e0a\u8fd0\u884c\u4efb\u52a1\u3002</li> </ul> </li> <li> <p>\u6d41\u6c34\u7ebf\u4e0eISA\u8bbe\u8ba1:</p> <ul> <li>\u8ba8\u8bba\u4e86RISC-V ISA\u5982\u4f55\u4e3a\u6d41\u6c34\u7ebf\u8bbe\u8ba1\uff0c\u4ee5\u53ca\u5b83\u4e0ex86\u67b6\u6784\u7684\u5bf9\u6bd4\u3002</li> </ul> </li> <li> <p>\u7ed3\u8bba:</p> <ul> <li>\u603b\u7ed3\u4e86\u6d41\u6c34\u7ebf\u901a\u8fc7\u91cd\u53e0\u591a\u6761\u6307\u4ee4\u7684\u6267\u884c\u6765\u63d0\u9ad8\u541e\u5410\u91cf\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u7a0b\u5e8f\u5458/\u7f16\u8bd1\u5668\u7684\u5e2e\u52a9\u6765\u6700\u5927\u5316\u6027\u80fd\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4efd\u8bb2\u5ea7\u5e7b\u706f\u7247\u4e3a\u7406\u89e3RISC-V\u6d41\u6c34\u7ebf\u5904\u7406\u5668\u7684\u8bbe\u8ba1\u548c\u6027\u80fd\u4f18\u5316\u63d0\u4f9b\u4e86\u6df1\u5165\u7684\u5206\u6790\uff0c\u6db5\u76d6\u4e86\u4ece\u57fa\u672c\u6982\u5ff5\u5230\u9ad8\u7ea7\u6280\u672f\u591a\u4e2a\u65b9\u9762\u3002</p>"},{"location":"CS%20basic/cs61c/cs61c_lec15/","title":"Cs61c lec15","text":"<p> \u7ea6 918 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p><code>lec15.pdf</code>\u6587\u4ef6\u662f\u8ba1\u7b97\u673a\u79d1\u5b6661C\u6625\u5b632022\u8bfe\u7a0b\u7684\u4e00\u90e8\u5206\uff0c\u7531McMahon\u548cWeaver\u6559\u6388\uff0c\u4e3b\u8981\u8ba8\u8bba\u4e86\u8ba1\u7b97\u673a\u7f13\u5b58\uff08Caches\uff09\u7684\u6982\u5ff5\u3001\u5de5\u4f5c\u539f\u7406\u4ee5\u53ca\u5b83\u4eec\u5728\u73b0\u4ee3\u8ba1\u7b97\u673a\u67b6\u6784\u4e2d\u7684\u91cd\u8981\u6027\u3002\u4ee5\u4e0b\u662f\u8be5\u8bb2\u5ea7\u7684\u8be6\u7ec6\u5185\u5bb9:</p> <ol> <li> <p>\u8ba1\u7b97\u673a\u7ec4\u6210\u90e8\u5206:    - \u4ecb\u7ecd\u4e86\u8ba1\u7b97\u673a\u7684\u57fa\u672c\u7ec4\u6210\u90e8\u5206\uff0c\u5305\u62ec\u5904\u7406\u5668\u3001\u63a7\u5236\u5355\u5143\u3001\u6570\u636e\u8def\u5f84\u3001\u7a0b\u5e8f\u8ba1\u6570\u5668\uff08PC\uff09\u3001\u5bc4\u5b58\u5668\u3001\u7b97\u672f\u903b\u8f91\u5355\u5143\uff08ALU\uff09\u3001\u5185\u5b58\u4ee5\u53ca\u8f93\u5165/\u8f93\u51fa\u63a5\u53e3\u3002</p> </li> <li> <p>\u5904\u7406\u5668\u4e0eDRAM\u5ef6\u8fdf\u5dee\u8ddd:    - \u8ba8\u8bba\u4e86\u5904\u7406\u5668\u4e0e\u52a8\u6001\u968f\u673a\u5b58\u53d6\u5b58\u50a8\u5668\uff08DRAM\uff09\u4e4b\u95f4\u7684\u8bbf\u95ee\u901f\u5ea6\u5dee\u5f02\uff0c\u4ee5\u53ca\u8fd9\u79cd\u5dee\u5f02\u5bf9CPU\u6027\u80fd\u7684\u6f5c\u5728\u5f71\u54cd\u3002</p> </li> <li> <p>\u56fe\u4e66\u9986\u7c7b\u6bd4:    - \u4f7f\u7528\u56fe\u4e66\u9986\u627e\u4e66\u7684\u7c7b\u6bd4\u6765\u89e3\u91ca\u7f13\u5b58\u7684\u6982\u5ff5\uff0c\u8bf4\u660e\u4e86\u5728\u5927\u56fe\u4e66\u9986\u4e2d\u67e5\u627e\u4e66\u7c4d\u7684\u65f6\u95f4\u5ef6\u8fdf\u95ee\u9898\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u5728\u684c\u9762\u4e0a\u4fdd\u7559\u4e00\u4e9b\u4e66\u7c4d\u6765\u51cf\u5c11\u67e5\u627e\u65f6\u95f4\u3002</p> </li> <li> <p>\u5185\u5b58\u7f13\u5b58:    - \u4ecb\u7ecd\u4e86\u5185\u5b58\u7f13\u5b58\u7684\u6982\u5ff5\uff0c\u5305\u62ec\u5b83\u7684\u529f\u80fd\u3001\u901a\u5e38\u4f4d\u4e8eCPU\u540c\u4e00\u82af\u7247\u4e0a\u7684\u7279\u70b9\uff0c\u4ee5\u53ca\u5b83\u6bd4DRAM\u66f4\u5feb\u4f46\u66f4\u6602\u8d35\u7684\u539f\u56e0\u3002</p> </li> <li> <p>\u5185\u5b58\u5c42\u6b21\u7ed3\u6784:    - \u63cf\u8ff0\u4e86\u4ece\u5bc4\u5b58\u5668\u5230\u7f13\u5b58\u3001\u4e3b\u5185\u5b58\u3001\u78c1\u76d8\u7684\u5185\u5b58\u5c42\u6b21\u7ed3\u6784\uff0c\u4ee5\u53ca\u6bcf\u4e2a\u5c42\u6b21\u7684\u7279\u70b9\uff0c\u5982\u5927\u5c0f\u3001\u901f\u5ea6\u548c\u6210\u672c\u3002</p> </li> <li> <p>\u7f13\u5b58\u539f\u7406:    - \u89e3\u91ca\u4e86\u7f13\u5b58\u5de5\u4f5c\u7684\u4e24\u4e2a\u57fa\u672c\u539f\u5219:\u65f6\u95f4\u5c40\u90e8\u6027\uff08Temporal Locality\uff09\u548c\u7a7a\u95f4\u5c40\u90e8\u6027\uff08Spatial Locality\uff09\u3002</p> </li> <li> <p>\u5229\u7528\u5c40\u90e8\u6027:    - \u8fdb\u4e00\u6b65\u8ba8\u8bba\u4e86\u5982\u4f55\u901a\u8fc7\u65f6\u95f4\u5c40\u90e8\u6027\u548c\u7a7a\u95f4\u5c40\u90e8\u6027\u6765\u4f18\u5316\u7f13\u5b58\u6027\u80fd\u3002</p> </li> <li> <p>\u6dfb\u52a0\u7f13\u5b58\u5230\u8ba1\u7b97\u673a:    - \u5c55\u793a\u4e86\u5982\u4f55\u5728\u8ba1\u7b97\u673a\u67b6\u6784\u4e2d\u6dfb\u52a0\u7f13\u5b58\uff0c\u5e76\u8ba8\u8bba\u4e86\u5b83\u5982\u4f55\u4e0e\u5904\u7406\u5668\u548c\u5185\u5b58\u4ea4\u4e92\u3002</p> </li> <li> <p>\u5185\u5b58\u5f15\u7528\u6a21\u5f0f:    - \u901a\u8fc7\u56fe\u5f62\u5c55\u793a\u4e86\u826f\u597d\u7684\u5185\u5b58\u5f15\u7528\u6a21\u5f0f\uff0c\u5305\u62ec\u6307\u4ee4\u83b7\u53d6\u3001\u6808\u8bbf\u95ee\u3001\u6570\u636e\u8bbf\u95ee\u7b49\u3002</p> </li> <li> <p>\u6ca1\u6709\u7f13\u5b58\u7684\u5185\u5b58\u8bbf\u95ee:</p> <ul> <li>\u63cf\u8ff0\u4e86\u5728\u6ca1\u6709\u7f13\u5b58\u7684\u60c5\u51b5\u4e0b\uff0c\u5904\u7406\u5668\u5982\u4f55\u901a\u8fc7\u5185\u5b58\u5730\u5740\u6765\u52a0\u8f7d\u6570\u636e\u3002</li> </ul> </li> <li> <p>\u6709\u7f13\u5b58\u7684\u5185\u5b58\u8bbf\u95ee:</p> <ul> <li>\u8be6\u7ec6\u89e3\u91ca\u4e86\u5f53\u7f13\u5b58\u4ecb\u5165\u65f6\uff0c\u5185\u5b58\u8bbf\u95ee\u7684\u8fc7\u7a0b\uff0c\u5305\u62ec\u7f13\u5b58\u547d\u4e2d\u548c\u7f13\u5b58\u672a\u547d\u4e2d\u7684\u60c5\u51b5\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u547d\u4e2d\u4e0e\u7f13\u5b58\u672a\u547d\u4e2d:</p> <ul> <li>\u5bf9\u6bd4\u4e86\u7f13\u5b58\u547d\u4e2d\u548c\u672a\u547d\u4e2d\u65f6\u7684\u5904\u7406\u8fc7\u7a0b\uff0c\u4ee5\u53ca\u5b83\u4eec\u5bf9\u6027\u80fd\u7684\u5f71\u54cd\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u5b58\u50a8\u65b9\u5f0f:</p> <ul> <li>\u4ecb\u7ecd\u4e86\u7f13\u5b58\u4e2d\u7684\u4e09\u79cd\u6570\u636e\u5b58\u50a8\u65b9\u5f0f:\u5168\u5173\u8054\uff08Fully Associative\uff09\u3001\u76f4\u63a5\u6620\u5c04\uff08Direct Mapped\uff09\u548c\u96c6\u5408\u5173\u8054\uff08Set-Associative\uff09\u3002</li> </ul> </li> <li> <p>\u5168\u5173\u8054\u7f13\u5b58:</p> <ul> <li>\u8be6\u7ec6\u8ba8\u8bba\u4e86\u5168\u5173\u8054\u7f13\u5b58\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u5305\u62ec\u6807\u7b7e\uff08Tag\uff09\u3001\u6570\u636e\uff08Data\uff09\u3001\u6709\u6548\u4f4d\uff08Valid Bit\uff09\u548c\u6700\u8fd1\u6700\u5c11\u4f7f\u7528\uff08LRU\uff09\u66ff\u6362\u7b56\u7565\u3002</li> </ul> </li> <li> <p>\u76f4\u63a5\u6620\u5c04\u7f13\u5b58:</p> <ul> <li>\u89e3\u91ca\u4e86\u76f4\u63a5\u6620\u5c04\u7f13\u5b58\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u5305\u62ec\u5b83\u7684\u5730\u5740\u5206\u89e3\u548c\u786c\u4ef6\u5b9e\u73b0\u3002</li> </ul> </li> <li> <p>\u96c6\u5408\u5173\u8054\u7f13\u5b58:</p> <ul> <li>\u8ba8\u8bba\u4e86\u96c6\u5408\u5173\u8054\u7f13\u5b58\u4f5c\u4e3a\u5168\u5173\u8054\u548c\u76f4\u63a5\u6620\u5c04\u7f13\u5b58\u4e4b\u95f4\u7684\u6298\u8877\u65b9\u6848\uff0c\u4ee5\u53ca\u5b83\u7684\u5de5\u4f5c\u539f\u7406\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u66ff\u6362\u7b56\u7565:</p> <ul> <li>\u4ecb\u7ecd\u4e86\u4e0d\u540c\u7684\u7f13\u5b58\u66ff\u6362\u7b56\u7565\uff0c\u5982\u6700\u8fd1\u6700\u5c11\u4f7f\u7528\uff08LRU\uff09\u548c\u6700\u4e0d\u5e38\u7528\uff08LFU\uff09\u3002</li> </ul> </li> <li> <p>\u7f13\u5b58\u4e00\u81f4\u6027:</p> <ul> <li>\u8ba8\u8bba\u4e86\u5728\u5b58\u50a8\u6307\u4ee4\u6539\u53d8\u5185\u5b58\u503c\u65f6\uff0c\u5982\u4f55\u786e\u4fdd\u7f13\u5b58\u548c\u5185\u5b58\u4e4b\u95f4\u7684\u4fe1\u606f\u4e00\u81f4\u6027\u3002</li> </ul> </li> <li> <p>\u5199\u5165\u7b56\u7565:</p> <ul> <li>\u5bf9\u6bd4\u4e86\u5199\u901a\u8fc7\uff08Write-through\uff09\u548c\u5199\u56de\uff08Write-back\uff09\u4e24\u79cd\u7f13\u5b58\u5199\u5165\u7b56\u7565\u3002</li> </ul> </li> <li> <p>\u4e0b\u8282\u8bfe\u9884\u544a:</p> <ul> <li>\u9884\u544a\u4e86\u4e0b\u4e00\u8282\u8bfe\u7684\u5185\u5bb9\uff0c\u5305\u62ec\u7f13\u5b58\u6027\u80fd\u3001\u591a\u7ea7\u7f13\u5b58\u7b49\u4e3b\u9898\u3002</li> </ul> </li> </ol> <p>\u8fd9\u4e2a\u8bb2\u5ea7\u63d0\u4f9b\u4e86\u5bf9\u8ba1\u7b97\u673a\u7f13\u5b58\u7cfb\u7edf\u7684\u5168\u9762\u7406\u89e3\uff0c\u5305\u62ec\u5b83\u4eec\u7684\u8bbe\u8ba1\u3001\u5de5\u4f5c\u539f\u7406\u4ee5\u53ca\u5728\u63d0\u5347\u8ba1\u7b97\u673a\u6027\u80fd\u65b9\u9762\u7684\u4f5c\u7528\u3002</p>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/","title":"\u8df3\u8f6c\u548c\u8fd4\u56de\u7684\u51fd\u6570","text":"<p>\u5728\u6c47\u7f16\u8bed\u8a00\u4e2d\uff0c\u8df3\u8f6c\u548c\u8fd4\u56de\u662f\u63a7\u5236\u7a0b\u5e8f\u6d41\u7a0b\u7684\u57fa\u672c\u673a\u5236\uff0c\u5c24\u5176\u662f\u5728\u51fd\u6570\u8c03\u7528\u548c\u5b50\u7a0b\u5e8f\u6267\u884c\u4e2d\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u8be6\u7ec6\u7684\u89e3\u91ca\u548c\u4f8b\u5b50\uff1a</p>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/#jal-jalr","title":"\u8df3\u8f6c\u6307\u4ee4\uff08<code>jal</code> \u548c <code>jalr</code>\uff09","text":"<ol> <li> <p><code>jal</code> - Jump-and-link:    - \u8fd9\u4e2a\u6307\u4ee4\u7528\u4e8e\u65e0\u6761\u4ef6\u8df3\u8f6c\u5230\u7a0b\u5e8f\u7684\u53e6\u4e00\u4e2a\u4f4d\u7f6e\uff0c\u5e76\u4e14\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230\u5bc4\u5b58\u5668\u4e2d\u3002\u901a\u5e38\uff0c\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5728<code>ra</code>\uff08\u8fd4\u56de\u5730\u5740\u5bc4\u5b58\u5668\uff09\u4e2d\u3002    - \u683c\u5f0f\uff1a<code>jal rd, label</code>    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jal ra, func     # \u8c03\u7528func\u51fd\u6570\uff0c\u5e76\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230ra\n</code></pre></p> </li> <li> <p><code>jalr</code> - Jump-and-link-register:    - \u8fd9\u4e2a\u6307\u4ee4\u7528\u4e8e\u6839\u636e\u5bc4\u5b58\u5668\u7684\u503c\u8df3\u8f6c\u5230\u4e00\u4e2a\u5730\u5740\uff0c\u5e76\u5c06\u8df3\u8f6c\u524d\u7684\u5bc4\u5b58\u5668\u503c\u4fdd\u5b58\u5230\u53e6\u4e00\u4e2a\u5bc4\u5b58\u5668\u3002\u5f53<code>imm</code>\uff08\u7acb\u5373\u6570\uff09\u4e3a0\u65f6\uff0c\u5b83\u53ef\u4ee5\u7528\u4e8e\u5b9e\u73b0\u51fd\u6570\u8fd4\u56de\u3002    - \u683c\u5f0f\uff1a<code>jalr rd, rs, imm</code>    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jalr x0, ra, 0   # \u4ecera\u5bc4\u5b58\u5668\u8df3\u8f6c\uff0c\u5e76\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230x0\uff08\u901a\u5e38x0\u59cb\u7ec8\u4e3a0\uff09\n</code></pre></p> </li> </ol>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/#jr-ret","title":"\u8fd4\u56de\u6307\u4ee4\uff08<code>jr</code> \u548c <code>ret</code>\uff09","text":"<ol> <li> <p><code>jr</code> - Jump-register:    - \u8fd9\u4e2a\u6307\u4ee4\u7528\u4e8e\u6839\u636e\u5bc4\u5b58\u5668\u7684\u503c\u8df3\u8f6c\u5230\u7a0b\u5e8f\u7684\u53e6\u4e00\u4e2a\u4f4d\u7f6e\u3002\u5b83\u4e0d\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\uff0c\u56e0\u6b64\u4e0d\u80fd\u76f4\u63a5\u7528\u4e8e\u51fd\u6570\u8fd4\u56de\u3002    - \u683c\u5f0f\uff1a<code>jr rs</code>    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jr ra            # \u8df3\u8f6c\u5230ra\u5bc4\u5b58\u5668\u6307\u5411\u7684\u5730\u5740\n</code></pre></p> </li> <li> <p><code>ret</code>:    - <code>ret</code>\u4e0d\u662f\u4e00\u4e2a\u72ec\u7acb\u7684\u6c47\u7f16\u6307\u4ee4\uff0c\u800c\u662f<code>jalr</code>\u7684\u4e00\u79cd\u7279\u6b8a\u7528\u6cd5\uff0c\u7528\u4e8e\u4ece\u51fd\u6570\u8c03\u7528\u8fd4\u56de\u3002\u5b83\u901a\u8fc7\u5c06<code>jalr</code>\u7684<code>rd</code>\u8bbe\u7f6e\u4e3a\u76ee\u6807\u5bc4\u5b58\u5668\uff08\u901a\u5e38\u662f<code>zero</code>\u6216<code>x0</code>\uff09\uff0c<code>rs</code>\u8bbe\u7f6e\u4e3a\u5305\u542b\u8fd4\u56de\u5730\u5740\u7684\u5bc4\u5b58\u5668\uff08\u901a\u5e38\u662f<code>ra</code>\uff09\uff0c<code>imm</code>\u8bbe\u7f6e\u4e3a0\u6765\u5b9e\u73b0\u3002    - \u4f8b\u5b50\uff1a      Text Only<pre><code>jalr x0, ra, 0  # \u7b49\u540c\u4e8eret\u6307\u4ee4\uff0c\u4ecera\u8fd4\u56de\uff0c\u4e0d\u4fdd\u5b58\u8fd4\u56de\u5730\u5740\u5230\u4efb\u4f55\u5730\u65b9\n</code></pre></p> </li> </ol>"},{"location":"CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/#_1","title":"\u51fd\u6570\u8c03\u7528\u548c\u8fd4\u56de\u7684\u4f8b\u5b50","text":"<p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u7b80\u5355\u7684\u51fd\u6570\u8c03\u7528\u548c\u8fd4\u56de\u6d41\u7a0b\uff1a</p> Text Only<pre><code># \u51fd\u6570\u5b9a\u4e49\n&lt;div markdown=\"1\" style=\"margin-top: -30px; font-size: 0.75em; opacity: 0.7;\"&gt;\n:material-circle-edit-outline: \u7ea6 466 \u4e2a\u5b57 :fontawesome-solid-code: 27 \u884c\u4ee3\u7801 :material-clock-time-two-outline: \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f\n&lt;/div&gt;\nfunc:\n    # \u51fd\u6570\u4f53\u7684\u4ee3\u7801\n    # ...\n\n    # \u8fd4\u56de\u8bed\u53e5\n    ret\n\n# \u4e3b\u7a0b\u5e8f\nmain:\n    # \u4fdd\u5b58\u8fd4\u56de\u5730\u5740\u5230ra\n    addi sp, sp, -4    # \u4e3a\u8fd4\u56de\u5730\u5740\u5206\u914d\u6808\u7a7a\u95f4\n    sw ra, 0(sp)       # \u5c06ra\u5b58\u50a8\u5230\u6808\u4e0a\n\n    # \u8c03\u7528\u51fd\u6570\n    jal ra, func\n\n    # \u6062\u590d\u8fd4\u56de\u5730\u5740\n    lw ra, 0(sp)       # \u4ece\u6808\u4e0a\u52a0\u8f7d\u8fd4\u56de\u5730\u5740\u5230ra\n    addi sp, sp, 4    # \u6062\u590d\u6808\u6307\u9488\n\n    # \u4e3b\u7a0b\u5e8f\u7ee7\u7eed\u6267\u884c\n    # ...\n</code></pre> <p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>func</code>\u662f\u4e00\u4e2a\u51fd\u6570\uff0c\u5b83\u4f7f\u7528<code>ret</code>\u6307\u4ee4\u6765\u8fd4\u56de\u5230\u8c03\u7528\u5b83\u7684\u4ee3\u7801\u3002\u5728\u4e3b\u7a0b\u5e8f\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5c06\u8fd4\u56de\u5730\u5740\u4fdd\u5b58\u5230\u6808\u4e0a\uff0c\u7136\u540e\u8c03\u7528<code>func</code>\u51fd\u6570\u3002\u8c03\u7528\u5b8c\u6210\u540e\uff0c\u6211\u4eec\u4ece\u6808\u4e0a\u6062\u590d\u8fd4\u56de\u5730\u5740\uff0c\u5e76\u7ee7\u7eed\u6267\u884c\u4e3b\u7a0b\u5e8f\u3002</p> <p>\u8bf7\u6ce8\u610f\uff0c\u5177\u4f53\u7684\u6c47\u7f16\u8bed\u6cd5\u53ef\u80fd\u56e0\u4e0d\u540c\u7684\u67b6\u6784\u548c\u6c47\u7f16\u5668\u800c\u5f02\uff0c\u4e0a\u8ff0\u4f8b\u5b50\u4ec5\u4f9b\u53c2\u8003\u3002</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/","title":"\u8ba1\u7b97\u673a\u7f51\u7edc\u5b89\u5168\u57fa\u7840","text":"<p> \u7ea6 368 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/#_1","title":"\u5e38\u89c1\u7684\u5bc6\u7801\u7b97\u6cd5","text":"<ul> <li>\u54c8\u5e0c\u7b97\u6cd5\uff08\u5982MD5,SHA256\uff09</li> <li>\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5 \uff08\u5982AES,DES\uff09</li> <li>\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5 \uff08\u5982RSA\uff09</li> </ul> <p>[[\u52a0\u5bc6\u539f\u7406]]</p>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/#_2","title":"\u5f31\u53e3\u4ee4","text":"<ol> <li>\u8f83\u77ed\u7684\u5bc6\u7801</li> <li>\u6613\u88ab\u731c\u6d4b\u6216\u4fe1\u9053\u653b\u51fb\u7684\u5bc6\u7801 - \u98ce\u9669<ul> <li>ssh\u4e2d\u5982\u679c\u8bbe\u7f6e\u4e86password\u8ba4\u8bc1\u4e14\u8bbe\u7f6e\u5f31\u53e3\u4ee4\uff0c\u5c06\u4f1a\u5bfc\u81f4\u670d\u52a1\u5668\u88ab\u672a\u7ecf\u6388\u6743\u767b\u5f55\uff0c\u4e14\u653b\u51fb\u8005\u53ef\u4ee5\u8fdb\u884c\u4e0e\u4f60\u540c\u6743\u9650\u7684\u4efb\u610f\u64cd\u4f5c</li> <li>\u65e0\u7ebf\u5c40\u57df\u7f51\u4e2d\u5982\u679c\u8bbe\u7f6e\u4e86\u5f31\u53e3\u4ee4\u88ab\u731c\u6d4b\u6210\u529f\u540e\uff0c\u653b\u51fb\u8005\u5c06\u53ef\u4ee5\u8fdb\u5165\u5c40\u57df\u7f51\u4e2d\u5bf9\u5c40\u57df\u7f51\u5176\u4ed6\u8bbe\u5907\u8fdb\u884c\u653b\u51fb</li> <li>\u9632\u8303\u65b9\u5f0f</li> <li>\u91c7\u7528\u5176\u4ed6\u66f4\u4e3a\u5b89\u5168\u7684\u8eab\u4efd\u8ba4\u8bc1\u65b9\u6cd5\uff08\u5982ssh\u4e2d\u91c7\u7528publickey\u8ba4\u8bc1\uff09</li> <li>\u8bbe\u7f6e\u968f\u673a\u5b57\u7b26\u4e32\u4f5c\u4e3a\u5bc6\u7801\uff0c\u5e76\u4e14\u957f\u5ea6\u8d85\u8fc78\u4f4d</li> </ul> </li> </ol>"},{"location":"CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/#ip","title":"\u516c\u7f51 IP","text":"<ul> <li>\u6211\u4eec\u5e0c\u671b\u4ece\u4efb\u610f\u63a5\u5165\u4e92\u8054\u7f51\u7684\u5730\u65b9\u4f7f\u7528ssh\u8fde\u63a5\u5230\u670d\u52a1\u5668\uff0c\u4e00\u4e2a\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u8ba9\u670d\u52a1\u5668\u62e5\u6709\u4e00\u4e2a\u516c\u7f51IP\u5e76\u8fd0\u884csshd\u670d\u52a1\u3002</li> <li>\u5e38\u89c1\u7684\u653b\u51fb\u65b9\u5f0f<ol> <li>\u626b\u63cf\u5f00\u653e\u7aef\u53e3\u4fe1\u606f\uff0c\u5e76\u786e\u5b9a\u7aef\u53e3\u4e0a\u8fd0\u884c\u7684\u670d\u52a1</li> <li>\u5bf9\u53ef\u80fd\u5b58\u5728\u7684\u670d\u52a1\u8fdb\u884c\u653b\u51fb\uff0c\u5c1d\u8bd5\u5229\u7528\u670d\u52a1\u7684\u6f0f\u6d1e\uff08\u5982\u5f31\u53e3\u4ee4\uff09\u83b7\u53d6\u670d\u52a1\u5668\u7684\u8bbf\u95ee\u6743\u9650</li> </ol> </li> <li>\u5e38\u89c1\u7684\u9632\u8303\u65b9\u5f0f<ul> <li>\u4f7f\u7528\u9632\u706b\u5899\u3002\u914d\u7f6e\u9632\u706b\u5899\u89c4\u5219\uff0c\u4ec5\u5141\u8bb8\u5fc5\u8981\u7684\u670d\u52a1\u548c\u7aef\u53e3\u5bf9\u5916\u5f00\u653e\u3002</li> <li>\u5ba1\u67e5\u5f00\u653e\u7684\u670d\u52a1\u7684\u5b89\u5168\u6027\u3002\u786e\u4fdd\u5f53\u524d\u4e3b\u673a\u5f00\u653e\u7684\u6240\u6709\u670d\u52a1\u5747\u662f\u5b89\u5168\u7684\u3002</li> </ul> </li> </ul>"},{"location":"Environment/Ubuntu%E9%85%8D%E7%BD%AE/","title":"Ubuntu\u914d\u7f6e","text":"<p> \u7ea6 74 \u4e2a\u5b57  14 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <ul> <li>\u5728 Ubuntu \u5b89\u88c5\u914d\u7f6e Fcitx 5 \u4e2d\u6587\u8f93\u5165\u6cd5 - muzing\u7684\u6742\u8d27\u94fa</li> <li>fcitx5-rime \u6302\u63a5\u5c0f\u9e64\u97f3\u5f62 | rovo98's Blog</li> <li>zhuanlan.zhihu.com/p/660191327#:~:text=Tabby\uff08\u4ee5\u524d\u79f0\u4e3a</li> <li>Zsh \u5b89\u88c5\u4e0e\u914d\u7f6e\uff0c\u4f7f\u7528 Oh-My-Zsh \u7f8e\u5316\u7ec8\u7aef | Leehow\u7684\u5c0f\u7ad9</li> <li>zhuanlan.zhihu.com/p/658811059</li> <li>PKMer_TiddyWiki \u7b80\u6613\u6307\u5357</li> <li>Site Unreachable</li> <li>Jedsek | Blog</li> </ul> Bash<pre><code>visudo /etc/sudoers \n%sudo   ALL=(ALL:ALL) NOPASSWD: ALL\n</code></pre> Bash<pre><code>git clone https://github.com/zsh-users/zsh-syntax-highlighting.git ${ZSH_CUSTOM:-~/.oh-my-zsh/custom}/plugins/zsh-syntax-highlighting\n\ngit clone https://github.com/zsh-users/zsh-autosuggestions ${ZSH_CUSTOM:-~/.oh-my-zsh/custom}/plugins/zsh-autosuggestions\n\ngit clone git://github.com/joelthelion/autojump.git\ncd autojump\n./install.py\n\n[[ -s ~/.autojump/etc/profile.d/autojump.sh ]] &amp;&amp; . ~/.autojump/etc/profile.d/autojump.sh\n</code></pre> <ul> <li>\u622a\u56fe\u8f6f\u4ef6</li> </ul> Bash<pre><code>sudo apt-get install flameshot\nflameshot gui\n</code></pre> <ul> <li>\u5728 Ubuntu 22.04|20.04|18.04 \u4e0a\u5b89\u88c5 Node.js 20</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/","title":"obsidian \u914d\u7f6e","text":"<p> \u7ea6 145 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#1","title":"1 \u4f7f\u7528\u8bed\u8a00","text":"<ul> <li>\u4e3b\u8981\u662f Markdown</li> <li>\u914d\u7f6e\u63d2\u4ef6\u4e5f\u4f1a\u6d89\u53ca\u4e00\u4e9b javascript</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#2","title":"2 \u63d2\u4ef6","text":""},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#21-displaystyle-latex","title":"2.1 \\(\\displaystyle \\LaTeX\\)","text":"<ul> <li>Latex Suite</li> <li>LaTex-like Theorem &amp; Equation Referencer</li> <li>MathLinks  </li> </ul> <p>\u642d\u914d simpleTex \u4f7f\u7528</p>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#22","title":"2.2 \u7f16\u8f91\u589e\u5f3a","text":"<ul> <li>Easy Typing</li> <li>Linter</li> <li>Remember cursor position</li> <li>PDF++</li> <li>Code Styler</li> <li>Number Headings</li> <li>Outliner</li> <li>Completr</li> <li>Mind map</li> <li>Excalidraw</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#23","title":"2.3 \u56fe\u7247","text":"<ul> <li>Paste image rename</li> <li>Auto Link Title</li> <li>Image auto upload Plugin</li> </ul> <p>\u642d\u914d Picgo + GitHub \u4f7f\u7528</p>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#24","title":"2.4 \u540c\u6b65\u5907\u4efd","text":"<ul> <li>Git</li> <li>Remotely Save</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#25","title":"2.5 \u65e5\u7a0b","text":"<ul> <li>Calendar</li> <li>Periodic Notes</li> <li>Tasks Progress Bar</li> <li>Tasks</li> <li>Tasks Calendar Wrapper</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#26","title":"2.6 \u4ecd\u5728\u63a2\u7d22","text":"<ul> <li>Local REST API + \u7b80\u7ea6</li> <li>RSS Reader</li> </ul>"},{"location":"Environment/obsidian%20%E9%85%8D%E7%BD%AE/#3","title":"3 \u76f8\u5173\u94fe\u63a5","text":"<ul> <li>PKMer_PKMer</li> <li>Obsidian \u4e2d\u6587\u8bba\u575b - Obsidian \u77e5\u8bc6\u7ba1\u7406 \u7b14\u8bb0</li> <li>Obsidian\u6587\u6863\u5496\u5561\u8c46\u7248 | Obsidian Docs by CoffeeBean</li> <li>zhuanlan.zhihu.com/p/619960525</li> </ul>"},{"location":"Environment/%E5%BC%80%E5%8F%91%E7%8E%AF%E5%A2%83%E9%85%8D%E7%BD%AE/","title":"\u5f00\u53d1\u73af\u5883\u914d\u7f6e","text":"<p> \u7ea6 227 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <ul> <li>\u5f00\u53d1\u73af\u5883\u6784\u5efa\u6307\u5357 </li> <li>\u4ece\u96f6\u5f00\u59cb\u914d\u7f6e Windows \u2022 Arthals' ink </li> <li>\u4ece\u96f6\u5f00\u59cb\u914d\u7f6e Linux \u2022 Arthals' ink </li> <li>\u670d\u52a1\u5668\u73af\u5883\u914d\u7f6e Cheat Sheet | Yi Pan (Conless) </li> <li>clash </li> <li>powertoy </li> <li>gsudo </li> <li>git <ul> <li>GitHub - Wybxc/git-remake-guide: Git \u91cd\u5f00/\u91cd\u5b66\u6307\u5357 </li> </ul> </li> <li>picgo <ul> <li>picgo + github + obsidian </li> </ul> </li> <li>vscode<ul> <li>\u7cfb\u7edf + \u4ee3\u7801\u5b57\u4f53\u8bbe\u7f6e</li> <li>zhuanlan.zhihu.com/p/603687041#:~:text=clangd\u5b98\u65b9vs</li> <li>zhuanlan.zhihu.com/p/398790625#:~:text=\u5176\u4e2d VS Code</li> </ul> </li> <li>tools<ul> <li>GitHub - jenius-apps/ambie: An app that uses white noise, nature sounds, and focus features to boost your productivity. </li> </ul> </li> <li>clash <ul> <li>GitHub - Loyalsoldier/clash-rules: \ud83e\udd84\ufe0f\ud83c\udf83\ud83d\udc7b Clash Premium \u89c4\u5219\u96c6(RULE-SET)\uff0c\u517c\u5bb9 ClashX Pro\u3001Clash for Windows \u7b49\u57fa\u4e8e Clash Premium \u5185\u6838\u7684\u5ba2\u6237\u7aef\u3002 </li> <li>Site Unreachable </li> <li>\u7ffb\u5899 | Blog</li> <li>GitHub - vpncn/vpncn.github.io: 2024\u4e2d\u56fd\u7ffb\u5899\u8f6f\u4ef6VPN\u63a8\u8350\u4ee5\u53ca\u79d1\u5b66\u4e0a\u7f51\u907f\u5751\uff0c\u7a33\u5b9a\u597d\u7528\u3002\u5bf9\u6bd4SSR\u673a\u573a\u3001\u84dd\u706f\u3001V2ray\u3001\u8001\u738bVPN\u3001VPS\u642d\u5efa\u68af\u5b50\u7b49\u79d1\u5b66\u4e0a\u7f51\u4e0e\u7ffb\u5899\u8f6f\u4ef6\uff0c\u4e2d\u56fd\u6700\u65b0\u79d1\u5b66\u4e0a\u7f51\u7ffb\u5899\u68af\u5b50VPN\u4e0b\u8f7d\u63a8\u8350\uff0c\u8bbf\u95eeChatgpt\u3002 </li> </ul> </li> <li>Typora <ul> <li>GitHub - sylviaxgj/typora-forest-theme: another typora theme</li> <li>GitHub - HappySimple/Typora-theme-Happysimple: \u4e00\u6b3e\u81ea\u5236\u7684Markdown\u4e3b\u9898\uff01</li> </ul> </li> <li>github profiles <ul> <li>GitHub - anuraghazra/github-readme-stats:  Dynamically generated stats for your github readmes </li> </ul> </li> <li>github action </li> <li>gsudo</li> <li>openArk</li> </ul>"},{"location":"Robot/pnp/","title":"pnp","text":"<p> \u7ea6 79 \u4e2a\u5b57  55 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <ul> <li>\u5df2\u77e5<ul> <li>\u76ee\u6807\u7269\u4f53\u7279\u5b9a\u70b9\u7684\u50cf\u7d20\u5750\u6807</li> <li>\u76ee\u6807\u7269\u4f53\u7279\u5b9a\u70b9\u7684\u771f\u5b9e\u5c3a\u5bf8</li> <li>\u76f8\u673a\u5185\u53c2</li> </ul> </li> <li>\u6c42<ul> <li>\u76ee\u6807\u7269\u4f53\u5728\u76f8\u673a\u5750\u6807\u7cfb\u4e0b\u7684 6d pose</li> </ul> </li> </ul> <p>\u50cf\u7d20\u5750\u6807\u548c\u7269\u4f53\u5750\u6807\u7684\u5bf9\u70b9 \u4f46\u662f\u4e00\u822c\u53ea\u7528 t, \u56e0\u4e3a R \u7684\u7cbe\u5ea6\u4e0d\u591f\u9ad8 Fetching Title#g70i</p> <p>![[Pasted image 20241008201602.png]]</p> C++<pre><code>#include &lt;iostream&gt;\n#include &lt;opencv2/opencv.hpp&gt;\n#include &lt;opencv2/imgproc/imgproc.hpp&gt;\n#include &lt;opencv2/calib3d/calib3d.hpp&gt;\n#include &lt;opencv2/core/core.hpp&gt;\nusing namespace cv;\n\nbool findCorners(const cv::Mat &amp;src, std::vector&lt;cv::Point2f&gt; &amp;corners) {\n    std::vector&lt;cv::Point2f&gt; pts;\n    corners.clear();\n    bool flag = cv::findChessboardCorners(src, {9, 6}, pts);\n    if (!flag)\n        return false;\n    corners.push_back(pts[0]);\n    corners.push_back(pts[9 - 1]);\n    corners.push_back(pts[pts.size() - 9]);\n    corners.push_back(pts[pts.size() - 1]);\n    return true;\n}\n\nint main() {\n    cv::Mat src;\n    cv::Mat camera_matrix;\n    cv::Mat distort_matrix;\n    cv::FileStorage reader(PROJECT_DIR\"/parameter.txt\", cv::FileStorage::READ);\n    reader[\"C\"] &gt;&gt; camera_matrix;\n    reader[\"D\"] &gt;&gt; distort_matrix;\n\n    for (int i = 0; i &lt;= 40; i++) {\n        src = imread(std::__cxx11::to_string(i).append(\".jpg\"));\n        std::vector&lt;cv::Point2f&gt; corners;\n        bool flag = findCorners(src, corners);\n        imshow(\"Opencv Demo\", src);\n        cv::waitKey(100);\n        if (flag == false) {\n            std::cout &lt;&lt; \"failed to find all corners\\n\";\n            continue;\n        }\n        std::vector&lt;cv::Point3f&gt; dst;\n        dst.push_back({0, 0, 0});\n        dst.push_back({8 * 1, 0, 0});\n        dst.push_back({0, 5 * 1, 0});\n        dst.push_back({8 * 1, 5 * 1, 0});\n        cv::Mat rvec, tvec;\n        cv::solvePnP(dst, corners, camera_matrix, distort_matrix, rvec, tvec);\n        std::cout &lt;&lt; \"t:\" &lt;&lt; std::endl &lt;&lt; -tvec &lt;&lt; std::endl &lt;&lt; std::endl;\n        cv::Mat drawer;\n        drawer = src.clone();\n        for (int j = 0; j &lt; 4; j++)\n            cv::circle(drawer, corners[j], 2, {0, 255, 0}, 2);\n        cv::imshow(\"corners\", drawer);\n        cv::waitKey(5);\n    }\n    return 0;\n}\n</code></pre>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/","title":"\u5361\u5c14\u66fc\u6ee4\u6ce2","text":"<p> \u7ea6 193 \u4e2a\u5b57  115 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#1-why","title":"1 Why","text":"<ul> <li>\u5dee\u5206<ul> <li>\u53d7\u566a\u58f0\u5e72\u6270\u5927</li> <li>\u6709\u5ef6\u8fdf</li> <li>\u901f\u5ea6\u4e0d\u8fde\u7eed\uff08\u4e0d\u80fd\u5f97\u5230\u77ac\u65f6\u901f\u5ea6\uff09</li> </ul> </li> </ul>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#2-how","title":"2 How","text":""},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#21","title":"2.1 \u5361\u5c14\u66fc\u6ee4\u6ce2","text":"<ul> <li>\u5408\u7406\u5730\u6839\u636e\u8bef\u5dee\u6765\u63a8\u5bfc\uff0c\u800c\u4e0d\u662f\u76f4\u63a5\u5ffd\u89c6\u5f71\u54cd\u6700\u7ec8\u91cf<ul> <li>\u65e0\u4eba\u9a7e\u9a76\u6280\u672f\u5165\u95e8\uff08\u5341\u4e09\uff09| \u624b\u628a\u624b\u6559\u4f60\u5199\u5361\u5c14\u66fc\u6ee4\u6ce2\u5668 - \u77e5\u4e4e </li> </ul> </li> </ul> \\[ \\begin{array}{|c|}\\hline\\textbf{Prediction}\\\\\\hline x^{'}=Ax+u\\\\P^{'}=APA^{T}+R\\\\\\hline\\textbf{Measurement update}\\\\\\hline y=z-Cx^{'}\\\\S=CPC^{T}+Q\\\\K=PC^{T}S^{-1}\\\\x=x^{'}+Ky\\\\P=(I-KC)P\\\\\\hline\\end{array} \\] C++<pre><code>#include &lt;iostream&gt;\n#include &lt;cstdio&gt;\n#include &lt;string&gt;\n#include &lt;vector&gt;\n#include &lt;ctime&gt;\n#include &lt;opencv2/core/core.hpp&gt;\n#include &lt;opencv2/highgui/highgui.hpp&gt;\n#include &lt;opencv2/imgproc/imgproc.hpp&gt;\n#include &lt;Eigen/Dense&gt;\n#include &lt;opencv2/core/eigen.hpp&gt;\nusing namespace std;\nusing namespace cv;\nusing namespace Eigen;\n\nint main() {\nsrand((unsigned int) time(NULL));\n// generate data with noise\nconst int N = 20;\nconst double k = 2.5;\nMatrix&lt;double, 1, N&gt; noise = Matrix&lt;double, 1, N&gt;::Random();\nMatrix&lt;double, 1, N&gt; data = Matrix&lt;double, 1, N&gt;::LinSpaced(0, k * (N - 1));\ndata += noise;\nstd::cout &lt;&lt; data &lt;&lt; std::endl;\n// calculate speed\nconst int Z_N = 1, X_N = 2;\nMatrix&lt;double, X_N, 1&gt; X;\nMatrix&lt;double, X_N, X_N&gt; A;\nMatrix&lt;double, X_N, X_N&gt; P;\nMatrix&lt;double, X_N, X_N&gt; R;\nMatrix&lt;double, X_N, Z_N&gt; K;\nMatrix&lt;double, Z_N, X_N&gt; C;\nMatrix&lt;double, Z_N, Z_N&gt; Q;\n\nX &lt;&lt; data[0], 0;\nA &lt;&lt; 1, 1, 0, 1;\nC &lt;&lt; 1, 0;\nR &lt;&lt; 2, 0, 0, 2;\nQ &lt;&lt; 10;\nfor (int i = 1; i &lt; N; i++) {\n    // \u66f4\u65b0\u9884\u6d4b\n    Matrix&lt;double, X_N, 1&gt; X_k = A * X;\n    P = A * P * A.transpose() + R;\n    // \u66f4\u65b0\u89c2\u6d4b\n    K = P * C.transpose() * (C * P * C.transpose() + Q).inverse();\n    Matrix&lt;double, Z_N, 1&gt; Z{data[i]};\n    X = X_k + K * (Z - C * X_k);\n    P = (Matrix&lt;double, X_N, X_N&gt;::Identity() - K * C) * P;\n    std::cout &lt;&lt; \"step \" &lt;&lt; i &lt;&lt; \": \" &lt;&lt; X[1] &lt;&lt; std::endl;\n}\nstd:cout &lt;&lt; \"final speed: \" &lt;&lt; X[1] &lt;&lt; std::endl;\nreturn 0;\n}\n</code></pre>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#22-ekf","title":"2.2 EKF \u7b97\u6cd5\u7684\u5b9e\u73b0","text":"C++<pre><code>#include &lt;ceres/jet.h&gt;\n#include &lt;Eigen/Dense&gt;\n\ntemplate&lt;int N_X, int N_Y&gt;\nclass AdaptiveEKF {\n    using MatrixXX = Eigen::Matrix&lt;double, N_X, N_X&gt;;\n    using MatrixYX = Eigen::Matrix&lt;double, N_Y, N_X&gt;;\n    using MatrixXY = Eigen::Matrix&lt;double, N_X, N_Y&gt;;\n    using MatrixYY = Eigen::Matrix&lt;double, N_Y, N_Y&gt;;\n    using VectorX = Eigen::Matrix&lt;double, N_X, 1&gt;;\n    using VectorY = Eigen::Matrix&lt;double, N_Y, 1&gt;;\n\npublic:\n    explicit AdaptiveEKF(const VectorX &amp;X0 = VectorX::Zero())\n            : Xe(X0), P(MatrixXX::Identity()), Q(MatrixXX::Identity()), R(MatrixYY::Identity()) {}\n\n    // \u9884\u6d4b\u51fd\u6570\n    template&lt;class Func&gt;\n    VectorX predict(Func &amp;&amp;func) {\n        calculateJacobian(Xe, func, Xp, F);\n        P = F * P * F.transpose() + Q;\n        return Xp;\n    }\n\n    // \u66f4\u65b0\u51fd\u6570\n    template&lt;class Func&gt;\n    VectorX update(Func &amp;&amp;func, const VectorY &amp;Y) {\n        calculateJacobian(Xp, func, Yp, H);\n        MatrixYY S = H * P * H.transpose() + R;  // \u521b\u65b0\u534f\u65b9\u5dee\n        K = P * H.transpose() * S.inverse();     // \u5361\u5c14\u66fc\u589e\u76ca\n        Xe = Xp + K * (Y - Yp);                  // \u66f4\u65b0\u72b6\u6001\u4f30\u8ba1\n        P = (MatrixXX::Identity() - K * H) * P;  // \u66f4\u65b0\u72b6\u6001\u534f\u65b9\u5dee\n        return Xe;\n    }\n\nprivate:\n    // \u8ba1\u7b97\u96c5\u514b\u6bd4\u77e9\u9635\u7684\u8f85\u52a9\u51fd\u6570\n    template&lt;class Func, int N_IN, int N_OUT&gt;\n    void calculateJacobian(const Eigen::Matrix&lt;double, N_IN, 1&gt; &amp;input, Func &amp;&amp;func, Eigen::Matrix&lt;double, N_OUT, 1&gt; &amp;output, Eigen::Matrix&lt;double, N_OUT, N_IN&gt; &amp;jacobian) {\n        ceres::Jet&lt;double, N_IN&gt; input_auto_jet[N_IN];\n        for (int i = 0; i &lt; N_IN; i++) {\n            input_auto_jet[i].a = input[i];\n            input_auto_jet[i].v[i] = 1;\n        }\n        ceres::Jet&lt;double, N_OUT&gt; output_auto_jet[N_OUT];\n        func(input_auto_jet, output_auto_jet);\n        for (int i = 0; i &lt; N_OUT; i++) {\n            output[i] = output_auto_jet[i].a;\n            jacobian.block(i, 0, 1, N_IN) = output_auto_jet[i].v.transpose();\n        }\n    }\n\npublic:\n    VectorX Xe;     // \u4f30\u8ba1\u72b6\u6001\u53d8\u91cf\n    VectorX Xp;     // \u9884\u6d4b\u72b6\u6001\u53d8\u91cf\n    MatrixXX F;     // \u9884\u6d4b\u96c5\u514b\u6bd4\u77e9\u9635\n    MatrixYX H;     // \u89c2\u6d4b\u96c5\u514b\u6bd4\u77e9\u9635\n    MatrixXX P;     // \u72b6\u6001\u534f\u65b9\u5dee\n    MatrixXX Q;     // \u9884\u6d4b\u8fc7\u7a0b\u534f\u65b9\u5dee\n    MatrixYY R;     // \u89c2\u6d4b\u8fc7\u7a0b\u534f\u65b9\u5dee\n    MatrixXY K;     // \u5361\u5c14\u66fc\u589e\u76ca\n    VectorY Yp;     // \u9884\u6d4b\u89c2\u6d4b\u91cf\n};\n</code></pre>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#23","title":"2.3 \u975e\u7ebf\u6027\u4f18\u5316","text":"<p>TODO</p>"},{"location":"Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/#_2","title":"\u4e00\u4e9b\u8d44\u6599","text":"<ul> <li>zhuanlan.zhihu.com/p/45238681</li> <li>\u5361\u5c14\u66fc\u6ee4\u6ce2(Kalman Filter)\u6982\u5ff5\u4ecb\u7ecd\u53ca\u8be6\u7ec6\u516c\u5f0f\u63a8\u5bfc-CSDN\u535a\u5ba2</li> <li>\u8c03\u8282\u8bef\u5dee\u77e9\u9635\u7684\u5b9e\u9645\u610f\u4e49</li> <li>\u975e\u7ebf\u6027\u62d3\u5c55</li> <li>\u81ea\u9002\u5e94\u4f18\u5316</li> <li>\u4f5c\u4e1a\u4e2d\u6709\u4e00\u4e2a\u5929\u4f53\u8fd0\u52a8\u7684\u4f8b\u5b50</li> </ul>"},{"location":"Robot/%E7%9B%B8%E6%9C%BA%E6%A0%87%E5%AE%9A/","title":"\u76f8\u673a\u6807\u5b9a","text":"<p> \u7ea6 73 \u4e2a\u5b57  1 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <p>Calibration</p> <ul> <li>GitHub - SHU-FLYMAN/CalibCamera: \u57fa\u4e8e\u5f20\u6b63\u53cb\u6807\u5b9a\u6cd5\u7684\u5355\u76ee\u76f8\u673a\u6807\u5b9a\u7406\u8bba\u5230\u5b9e\u8df5</li> <li>\u4e00\u6587\u5403\u900f\u76f8\u673a\u6807\u5b9a\uff08Camera calibration\uff09-CSDN\u535a\u5ba2</li> <li>\u6700\u8be6\u7ec6\u3001\u6700\u5b8c\u6574\u7684\u76f8\u673a\u6807\u5b9a\u8bb2\u89e3-CSDN\u535a\u5ba2</li> <li>\u76f8\u673a\u6807\u5b9a\uff08Camera calibration\uff09\u539f\u7406\u3001\u6b65\u9aa4_\u89c6\u89c9\u76f8\u673a \u793a\u6559\u76ee\u7684-CSDN\u535a\u5ba2 </li> </ul>"},{"location":"Technology/CMake/","title":"CMake \u76f8\u5173","text":"<p> \u7ea6 161 \u4e2a\u5b57  13 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p>"},{"location":"Technology/CMake/#1","title":"1 \u6784\u5efa\u6700\u5c0f\u9879\u76ee","text":"<ul> <li>CMake \u652f\u6301\u5927\u5199\u3001\u5c0f\u5199\u548c\u6df7\u5408\u5927\u5c0f\u5199\u547d\u4ee4\u3001</li> </ul> Text Only<pre><code>mkdir build\ncd build\ncmake -G\"MinGW Makefiles\" ..\ncmake --build .\n</code></pre> <p>\u4e4b\u540e\u4f1a\u751f\u6210\u53ef\u6267\u884c\u6587\u4ef6</p> Text Only<pre><code>step1/\n    build/\n    CMakeLists.txt\n    tutorial.cpp\n</code></pre>"},{"location":"Technology/CMake/#2-cmakelists-txt","title":"2 \u4f18\u5316 CMakeLists. txt \u6587\u4ef6","text":"CMake<pre><code>cmake_minimum_required(VERSION 3.15)\n\n# set the project name\nproject(Tutorial)\n\nSET(SRC_LIST tutorial.cpp)\n\n# add the executable\nadd_executable(${PROJECT_NAME} ${SRC_LIST})\n</code></pre> <p>1.0.2 \u5206\u522b\u5bf9\u5e94 MAJOR MINOR PATCH</p> <ul> <li>set \u548c PROJECT_NAME</li> <li>\u6dfb\u52a0\u7248\u672c\u53f7\u548c\u914d\u7f6e\u5934\u6587\u4ef6</li> <li>\u6dfb\u52a0\u7f16\u8bd1\u65f6\u95f4\u6233</li> <li>\u6307\u5b9a C++\u6807\u51c6</li> <li>\u6dfb\u52a0\u5e93\uff08\u6dfb\u52a0\u5e93\u7684\u4f4d\u7f6e\uff0c\u5e93\u6587\u4ef6\u540d\uff0c\u5934\u6587\u4ef6\u540d\uff09</li> <li>\u5c06\u5e93\u8bbe\u7f6e\u4e3a\u53ef\u9009\u9879\uff08\u5206\u7ecf\u5178\u548c\u73b0\u4ee3\uff09</li> <li>\u6dfb\u52a0\u5e93\u7684\u4f7f\u7528\u8981\u6c42<ul> <li>INTERFACE</li> <li>PRIVATE</li> <li>PUBLIC</li> <li>\u9759\u6001\u94fe\u63a5\u5e93/\u52a8\u6001\u94fe\u63a5\u5e93</li> </ul> </li> <li>build \u76ee\u5f55\u4ecb\u7ecd</li> </ul>"},{"location":"Technology/CMake/#links","title":"links","text":"<ul> <li>Site Unreachable</li> <li>IPADS\u65b0\u4eba\u57f9\u8bad\u7b2c\u4e8c\u8bb2\uff1aCMake_\u54d4\u54e9\u54d4\u54e9_bilibili</li> </ul>"},{"location":"Technology/Makeflie/","title":"Makeflie","text":"<p> \u7ea6 220 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p>"},{"location":"Technology/Makeflie/#make","title":"Make \u57fa\u7840","text":""},{"location":"Technology/Makeflie/#make_1","title":"\u4ec0\u4e48\u662f Make","text":"<p>Make \u662f\u4e00\u4e2a\u81ea\u52a8\u5316\u6784\u5efa\u5de5\u5177\uff0c\u4f7f\u7528 Makefile \u6587\u4ef6\u6765\u5b9a\u4e49\u5982\u4f55\u7f16\u8bd1\u548c\u94fe\u63a5\u7a0b\u5e8f\u3002\u5b83\u901a\u8fc7\u68c0\u67e5\u6587\u4ef6\u7684\u65f6\u95f4\u6233\u6765\u51b3\u5b9a\u54ea\u4e9b\u6587\u4ef6\u9700\u8981\u91cd\u65b0\u7f16\u8bd1\u3002</p>"},{"location":"Technology/Makeflie/#makefile","title":"Makefile \u7684\u57fa\u672c\u7ed3\u6784","text":"<p>Makefile \u7684\u57fa\u672c\u7ed3\u6784\u7531\u76ee\u6807\u3001\u4f9d\u8d56\u548c\u547d\u4ee4\u7ec4\u6210\uff0c\u901a\u5e38\u5f62\u5f0f\u4e3a\uff1a</p> Text Only<pre><code>target: dependencies     \n    command\n</code></pre>"},{"location":"Technology/Makeflie/#makefile_1","title":"Makefile \u793a\u4f8b","text":"<p>\u8ba9\u6211\u4eec\u8003\u8651\u4e00\u4e2a\u7b80\u5355\u7684 C \u8bed\u8a00\u9879\u76ee\uff0c\u8be5\u793a\u4f8b\u5c06\u5c55\u793a\u5982\u4f55\u4f7f\u7528 Makefile \u6765\u7f16\u8bd1\u4e00\u4e2a\u5177\u6709\u591a\u4e2a\u6e90\u6587\u4ef6\u548c\u5934\u6587\u4ef6\u7684\u7a0b\u5e8f\uff0c\u5e76\u5c55\u793a Makefile \u76f8\u6bd4\u624b\u52a8\u547d\u4ee4\u884c\u7f16\u8bd1\u7684\u4f18\u52bf\u3002 \u7f16\u8bd1\u8fdb\u9636 - HPC\u5165\u95e8\u6307\u5357</p>"},{"location":"Technology/Makeflie/#make_2","title":"Make \u7684\u5e38\u7528\u547d\u4ee4","text":"<ul> <li><code>make</code>\uff1a\u6267\u884c\u9ed8\u8ba4\u76ee\u6807\uff0c\u4e0e<code>make all</code>\u7b49\u6548\u3002</li> <li><code>make &lt;target&gt;</code>\uff1a\u6267\u884c\u5b9a\u4e49\u7684<code>&lt;target&gt;</code>\u76ee\u6807\uff0c\u5982\u679c\u6ca1\u6709\u8fd9\u4e2a\u76ee\u6807\u5c06\u8fd4\u56de\u9519\u8bef\u4fe1\u606f\u3002</li> <li><code>make -j</code>\uff1a\u5e76\u884c\u6267\u884c\u6784\u5efa\uff0c\u4f7f\u7528\u672c\u673a\u7684\u5168\u90e8\u7ebf\u7a0b</li> </ul>"},{"location":"Technology/SSH/","title":"SSH\u914d\u7f6e\u6307\u5357","text":"<p> \u7ea6 641 \u4e2a\u5b57  195 \u884c\u4ee3\u7801  1 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p>"},{"location":"Technology/SSH/#ssh_1","title":"\u4e00\u3001SSH\u57fa\u7840\u6982\u5ff5","text":""},{"location":"Technology/SSH/#1-ssh","title":"1. SSH\u5de5\u4f5c\u539f\u7406","text":"<p>SSH(Secure Shell)\u662f\u4e00\u79cd\u52a0\u5bc6\u7684\u7f51\u7edc\u534f\u8bae\uff0c\u901a\u8fc7\u5728\u4e0d\u5b89\u5168\u7684\u7f51\u7edc\u4e0a\u4e3a\u7f51\u7edc\u670d\u52a1\u63d0\u4f9b\u5b89\u5168\u7684\u4f20\u8f93\u73af\u5883\u3002SSH\u901a\u8fc7\u4f7f\u7528\u52a0\u5bc6\u6280\u672f\uff0c\u80fd\u591f\u6709\u6548\u9632\u6b62\u4e2d\u95f4\u4eba\u653b\u51fb\uff0c\u4fdd\u62a4\u6570\u636e\u4f20\u8f93\u7684\u5b89\u5168\u3002</p> <p>SSH\u5de5\u4f5c\u6d41\u7a0b\uff1a 1. TCP\u8fde\u63a5\u5efa\u7acb\uff1a\u5ba2\u6237\u7aef\u548c\u670d\u52a1\u5668\u5efa\u7acbTCP\u8fde\u63a5\uff08\u9ed8\u8ba4\u7aef\u53e322\uff09 2. \u7248\u672c\u534f\u5546\uff1a\u53cc\u65b9\u4ea4\u6362\u7248\u672c\u4fe1\u606f\uff0c\u786e\u5b9a\u4f7f\u7528\u7684SSH\u534f\u8bae\u7248\u672c 3. \u5bc6\u94a5\u4ea4\u6362\uff1a\u4f7f\u7528Diffie-Hellman\u7b97\u6cd5\u4ea4\u6362\u4f1a\u8bdd\u5bc6\u94a5 4. \u8ba4\u8bc1\uff1a\u4f7f\u7528\u516c\u94a5\u6216\u5bc6\u7801\u8fdb\u884c\u8eab\u4efd\u9a8c\u8bc1 5. \u4f1a\u8bdd\uff1a\u5efa\u7acb\u52a0\u5bc6\u901a\u4fe1\u901a\u9053</p>"},{"location":"Technology/SSH/#2","title":"2. \u8ba4\u8bc1\u65b9\u5f0f\u8be6\u89e3","text":""},{"location":"Technology/SSH/#21","title":"2.1 \u5bc6\u7801\u8ba4\u8bc1","text":"<ul> <li>\u6700\u7b80\u5355\u4f46\u6700\u4e0d\u5b89\u5168\u7684\u8ba4\u8bc1\u65b9\u5f0f</li> <li>\u5bb9\u6613\u53d7\u5230\u66b4\u529b\u7834\u89e3\u653b\u51fb</li> <li>\u4e0d\u63a8\u8350\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u4f7f\u7528</li> </ul>"},{"location":"Technology/SSH/#22","title":"2.2 \u516c\u94a5\u8ba4\u8bc1","text":"<p>\u8ba4\u8bc1\u6d41\u7a0b 1. \u5ba2\u6237\u7aef\u53d1\u9001\u516c\u94a5\u4fe1\u606f\u7ed9\u670d\u52a1\u5668 2. \u670d\u52a1\u5668\u68c0\u67e5authorized_keys\u6587\u4ef6 3. \u670d\u52a1\u5668\u751f\u6210\u968f\u673a\u5b57\u7b26\u4e32\uff0c\u7528\u516c\u94a5\u52a0\u5bc6\u540e\u53d1\u9001\u7ed9\u5ba2\u6237\u7aef 4. \u5ba2\u6237\u7aef\u7528\u79c1\u94a5\u89e3\u5bc6\uff0c\u5c06\u7ed3\u679c\u8fd4\u56de\u670d\u52a1\u5668 5. \u670d\u52a1\u5668\u9a8c\u8bc1\u7ed3\u679c\uff0c\u5b8c\u6210\u8ba4\u8bc1</p>"},{"location":"Technology/SSH/#3","title":"3. \u5b89\u5168\u5efa\u8bae","text":""},{"location":"Technology/SSH/#31","title":"3.1 \u57fa\u672c\u5b89\u5168\u8bbe\u7f6e","text":"Bash<pre><code># /etc/ssh/sshd_config \u5b89\u5168\u914d\u7f6e\nPermitRootLogin no                 # \u7981\u6b62root\u76f4\u63a5\u767b\u5f55\nPasswordAuthentication no          # \u7981\u7528\u5bc6\u7801\u8ba4\u8bc1\nPubkeyAuthentication yes          # \u542f\u7528\u516c\u94a5\u8ba4\u8bc1\nPermitEmptyPasswords no           # \u7981\u6b62\u7a7a\u5bc6\u7801\nProtocol 2                        # \u53ea\u4f7f\u7528SSH2\u534f\u8bae\nMaxAuthTries 3                    # \u6700\u5927\u8ba4\u8bc1\u5c1d\u8bd5\u6b21\u6570\nLoginGraceTime 30                 # \u767b\u5f55\u8d85\u65f6\u65f6\u95f4\nX11Forwarding no                  # \u7981\u7528X11\u8f6c\u53d1\uff08\u9664\u975e\u9700\u8981\uff09\nAllowUsers user1 user2            # \u9650\u5236\u5141\u8bb8\u767b\u5f55\u7684\u7528\u6237\n</code></pre>"},{"location":"Technology/SSH/#32","title":"3.2 \u5bc6\u94a5\u7ba1\u7406","text":"Bash<pre><code># \u751f\u6210\u5f3a\u5bc6\u94a5\nssh-keygen -t ed25519 -C \"your_email@example.com\" -a 100\n\n# \u5bc6\u94a5\u6743\u9650\u8bbe\u7f6e\nchmod 700 ~/.ssh\nchmod 600 ~/.ssh/id_ed25519\nchmod 644 ~/.ssh/id_ed25519.pub\nchmod 600 ~/.ssh/authorized_keys\nchmod 600 ~/.ssh/known_hosts\n</code></pre>"},{"location":"Technology/SSH/#ssh_2","title":"\u5e38\u7528\u7684 SSH \u547d\u4ee4","text":"<p>SSH \u6559\u7a0b \u83dc\u9e1f\u6559\u7a0b</p>"},{"location":"Technology/SSH/#_1","title":"\u4e8c\u3001\u5b8c\u6574\u914d\u7f6e\u6307\u5357","text":""},{"location":"Technology/SSH/#1-linux","title":"1. Linux\u670d\u52a1\u5668\u914d\u7f6e","text":"Bash<pre><code># 1. \u5b89\u88c5SSH\u670d\u52a1\u5668\nsudo apt update\nsudo apt install openssh-server\n\n# 2. \u914d\u7f6eSSH\u670d\u52a1\nsudo nano /etc/ssh/sshd_config\n\n# 3. \u57fa\u672c\u5b89\u5168\u914d\u7f6e\nPort 22                          # \u53ef\u4ee5\u4fee\u6539\u4e3a\u975e\u6807\u51c6\u7aef\u53e3\nListenAddress 0.0.0.0            # \u76d1\u542c\u5730\u5740\nProtocol 2\nPermitRootLogin no\nPasswordAuthentication no\nPubkeyAuthentication yes\nAuthorizedKeysFile .ssh/authorized_keys\nUsePAM yes\nX11Forwarding no\nPrintMotd no\nAcceptEnv LANG LC_*\nSubsystem sftp /usr/lib/openssh/sftp-server\n\n# 4. \u91cd\u542fSSH\u670d\u52a1\nsudo systemctl restart sshd\n\n# 5. \u68c0\u67e5\u670d\u52a1\u72b6\u6001\nsudo systemctl status sshd\n</code></pre>"},{"location":"Technology/SSH/#2-windows-ssh","title":"2. Windows SSH\u914d\u7f6e","text":""},{"location":"Technology/SSH/#21-openssh","title":"2.1 \u5b89\u88c5OpenSSH","text":"<p>PowerShell<pre><code># \u4f7f\u7528PowerShell\u5b89\u88c5OpenSSH\n# \u68c0\u67e5OpenSSH\u72b6\u6001\nGet-WindowsCapability -Online | Where-Object Name -like 'OpenSSH*'\n\n# \u5b89\u88c5\u5ba2\u6237\u7aef\u548c\u670d\u52a1\u5668\nAdd-WindowsCapability -Online -Name OpenSSH.Client~~~~0.0.1.0\nAdd-WindowsCapability -Online -Name OpenSSH.Server~~~~0.0.1.0\n\n# \u542f\u52a8SSH\u670d\u52a1\nStart-Service sshd\nSet-Service -Name sshd -StartupType 'Automatic'\n</code></pre> \u5982\u679c\u6709\u7f51\u7edc\u95ee\u9898\u53ef\u4ee5\u4e0b\u8f7d\u5e76\u5b89\u88c5 OpenSSH \u7684\u79bb\u7ebf\u5b89\u88c5\u5305\uff1a  </p> <ul> <li>\u60a8\u53ef\u4ee5\u5c1d\u8bd5\u4ece GitHub \u4e0a\u4e0b\u8f7d OpenSSH \u7684\u79bb\u7ebf\u5b89\u88c5\u5305\uff0c\u5e76\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u8fdb\u884c\u5b89\u88c5\uff1a  <ol> <li>\u8bbf\u95ee GitHub \u4e0a\u7684 Win32-OpenSSH \u53d1\u5e03\u9875\u9762\uff1aWin32-OpenSSH Releases </li> <li>\u4e0b\u8f7d\u9002\u7528\u4e8e\u60a8\u7684\u7cfb\u7edf\u7684\u5b89\u88c5\u5305\uff08Win32 \u6216 Win64\uff09\u3002  </li> <li>\u89e3\u538b\u4e0b\u8f7d\u7684\u6587\u4ef6\u5230\u4e00\u4e2a\u76ee\u5f55\u3002  </li> <li>\u4ee5\u7ba1\u7406\u5458\u6743\u9650\u6253\u5f00\u547d\u4ee4\u63d0\u793a\u7b26\uff08cmd\uff09\uff0c\u5e76\u5bfc\u822a\u5230\u89e3\u538b\u7684\u76ee\u5f55\u3002  </li> <li>\u8fd0\u884c\u00a0<code>powershell.exe -ExecutionPolicy Bypass -File install-sshd.ps1</code>\u00a0\u6765\u5b89\u88c5 OpenSSH \u670d\u52a1\u3002 </li> </ol> </li> </ul>"},{"location":"Technology/SSH/#22-windows-ssh","title":"2.2 \u914d\u7f6eWindows SSH\u670d\u52a1","text":"PowerShell<pre><code># \u7f16\u8f91SSH\u914d\u7f6e\u6587\u4ef6\nnotepad \"$env:ProgramData\\ssh\\sshd_config\"\n\n# \u57fa\u672c\u914d\u7f6e\u5185\u5bb9\u4e0eLinux\u7c7b\u4f3c\uff0c\u4f46\u8def\u5f84\u9700\u8981\u8c03\u6574\nPubkeyAuthentication yes\nPasswordAuthentication no\nSubsystem sftp sftp-server.exe\n</code></pre>"},{"location":"Technology/SSH/#3-ssh","title":"3. SSH\u5ba2\u6237\u7aef\u914d\u7f6e","text":""},{"location":"Technology/SSH/#31-ssh","title":"3.1 \u521b\u5efaSSH\u914d\u7f6e\u6587\u4ef6","text":"Bash<pre><code># ~/.ssh/config\n# \u5168\u5c40\u8bbe\u7f6e\nHost *\n    ServerAliveInterval 60\n    ServerAliveCountMax 3\n    HashKnownHosts yes\n    GSSAPIAuthentication no\n\n# GitHub\nHost github.com\n    HostName github.com\n    User git\n    IdentityFile ~/.ssh/github_ed25519\n    AddKeysToAgent yes\n\n# \u5f00\u53d1\u670d\u52a1\u5668\nHost dev\n    HostName dev.example.com\n    User developer\n    Port 22\n    IdentityFile ~/.ssh/dev_ed25519\n    ForwardAgent yes\n\n# \u751f\u4ea7\u670d\u52a1\u5668\nHost prod\n    HostName prod.example.com\n    User deployer\n    Port 22\n    IdentityFile ~/.ssh/prod_ed25519\n    ForwardAgent no\n</code></pre>"},{"location":"Technology/SSH/#_2","title":"\u4e09\u3001\u5177\u4f53\u5b9e\u8df5\uff0c\u7528\u7b14\u8bb0\u672c\u8fde\u53f0\u5f0f\u673a","text":""},{"location":"Technology/SSH/#_3","title":"\u53f0\u5f0f\u7535\u8111\uff08\u670d\u52a1\u7aef\uff09\u914d\u7f6e\uff1a","text":"<ol> <li>\u5b89\u88c5\u5e76\u542f\u52a8SSH\u670d\u52a1:</li> </ol> Bash<pre><code># Ubuntu/Debian\u7cfb\u7edf\nsudo apt install openssh-server\nsudo systemctl enable ssh\nsudo systemctl start ssh\n\n# \u68c0\u67e5SSH\u670d\u52a1\u72b6\u6001\nsudo systemctl status ssh\n</code></pre> <ol> <li>\u914d\u7f6eSSH\u670d\u52a1:</li> </ol> Bash<pre><code># \u7f16\u8f91SSH\u670d\u52a1\u5668\u914d\u7f6e\nsudo nano /etc/ssh/sshd_config\n\n# \u6dfb\u52a0\u6216\u4fee\u6539\u4ee5\u4e0b\u914d\u7f6e\nPermitRootLogin no\nPasswordAuthentication no\nPubkeyAuthentication yes\nAllowUsers your_username    # \u66ff\u6362\u4e3a\u60a8\u7684\u7528\u6237\u540d\n</code></pre> <ol> <li>\u8bbe\u7f6e\u56fa\u5b9aIP\u6216\u52a8\u6001DNS:</li> </ol> Bash<pre><code># \u67e5\u770b\u5f53\u524dIP\nip addr show\n\n# \u5982\u679c\u662f\u52a8\u6001IP\uff0c\u5efa\u8bae\u8bbe\u7f6e\u9759\u6001IP\u6216\u4f7f\u7528\u52a8\u6001DNS\u670d\u52a1\n</code></pre>"},{"location":"Technology/SSH/#_4","title":"\u7b14\u8bb0\u672c\uff08\u5ba2\u6237\u7aef\uff09\u914d\u7f6e\uff1a","text":"<ol> <li>\u751f\u6210SSH\u5bc6\u94a5\u5bf9\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09:</li> </ol> Bash<pre><code>ssh-keygen -t ed25519 -C \"your_laptop\"\n</code></pre> <ol> <li>\u5c06\u516c\u94a5\u590d\u5236\u5230\u53f0\u5f0f\u673a:</li> </ol> Bash<pre><code># \u65b9\u6cd51\uff1a\u4f7f\u7528ssh-copy-id\nssh-copy-id -i ~/.ssh/id_ed25519.pub username@desktop_ip\n\n# \u65b9\u6cd52\uff1a\u624b\u52a8\u590d\u5236\ncat ~/.ssh/id_ed25519.pub | ssh username@desktop_ip \"mkdir -p ~/.ssh &amp;&amp; cat &gt;&gt; ~/.ssh/authorized_keys\"\n</code></pre> <ol> <li>\u914d\u7f6eSSH\u5ba2\u6237\u7aef:</li> </ol> Bash<pre><code># \u7f16\u8f91 ~/.ssh/config\nnano ~/.ssh/config\n\n# \u6dfb\u52a0\u4ee5\u4e0b\u914d\u7f6e\nHost desktop\n    HostName 192.168.1.xxx  # \u66ff\u6362\u4e3a\u53f0\u5f0f\u673a\u7684IP\n    User your_username      # \u66ff\u6362\u4e3a\u60a8\u7684\u7528\u6237\u540d\n    Port 22\n    IdentityFile ~/.ssh/id_ed25519\n    ForwardX11 yes         # \u5982\u679c\u9700\u8981\u56fe\u5f62\u754c\u9762\u8f6c\u53d1\n    ForwardAgent yes\n    Compression yes\n    ServerAliveInterval 60\n</code></pre>"},{"location":"Technology/SSH/#_5","title":"\u5e38\u7528\u8fde\u63a5\u547d\u4ee4\uff1a","text":"<ol> <li>\u57fa\u672c\u8fde\u63a5:</li> </ol> Bash<pre><code># \u4ece\u7b14\u8bb0\u672c\u8fde\u63a5\u5230\u53f0\u5f0f\u673a\nssh desktop\n\n# \u4f7f\u7528\u56fe\u5f62\u754c\u9762\u8f6c\u53d1\nssh -X desktop\n</code></pre> <ol> <li>\u6587\u4ef6\u4f20\u8f93:</li> </ol> Bash<pre><code># \u4ece\u7b14\u8bb0\u672c\u590d\u5236\u6587\u4ef6\u5230\u53f0\u5f0f\u673a\nscp /path/to/local/file desktop:/path/to/remote/\n\n# \u4ece\u53f0\u5f0f\u673a\u590d\u5236\u6587\u4ef6\u5230\u7b14\u8bb0\u672c\nscp desktop:/path/to/remote/file /path/to/local/\n</code></pre> <ol> <li>\u7aef\u53e3\u8f6c\u53d1:</li> </ol> Bash<pre><code># \u672c\u5730\u7aef\u53e3\u8f6c\u53d1\nssh -L 8080:localhost:80 desktop\n\n# \u8fdc\u7a0b\u7aef\u53e3\u8f6c\u53d1\nssh -R 8080:localhost:80 desktop\n</code></pre>"},{"location":"Technology/SSH/#_6","title":"\u56db\u3001\u9ad8\u7ea7\u64cd\u4f5c","text":""},{"location":"Technology/SSH/#1-ssh_1","title":"1. SSH\u7aef\u53e3\u8f6c\u53d1","text":""},{"location":"Technology/SSH/#11","title":"1.1 \u672c\u5730\u7aef\u53e3\u8f6c\u53d1","text":"Bash<pre><code># \u5c06\u672c\u57308080\u7aef\u53e3\u8f6c\u53d1\u5230\u8fdc\u7a0b80\u7aef\u53e3\nssh -L 8080:localhost:80 user@remote\n\n# \u4f7f\u7528\u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost tunnel\n    HostName remote.example.com\n    LocalForward 8080 localhost:80\n</code></pre>"},{"location":"Technology/SSH/#12","title":"1.2 \u8fdc\u7a0b\u7aef\u53e3\u8f6c\u53d1","text":"Bash<pre><code># \u5c06\u8fdc\u7a0b3000\u7aef\u53e3\u8f6c\u53d1\u5230\u672c\u57303000\u7aef\u53e3\nssh -R 3000:localhost:3000 user@remote\n\n# \u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost remote-tunnel\n    HostName remote.example.com\n    RemoteForward 3000 localhost:3000\n</code></pre>"},{"location":"Technology/SSH/#2-ssh","title":"2. SSH\u4ee3\u7406\u8f6c\u53d1","text":"Bash<pre><code># \u542f\u7528\u4ee3\u7406\u8f6c\u53d1\nssh -A user@remote\n\n# \u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost *\n    ForwardAgent yes\n    AddKeysToAgent yes\n</code></pre>"},{"location":"Technology/SSH/#3_1","title":"3. \u8df3\u677f\u673a\u914d\u7f6e","text":"Bash<pre><code># \u901a\u8fc7\u8df3\u677f\u673a\u8fde\u63a5\nssh -J jumphost user@target\n\n# \u914d\u7f6e\u6587\u4ef6\u8bbe\u7f6e\nHost target\n    HostName target.example.com\n    ProxyJump jumphost\n</code></pre>"},{"location":"Technology/SSH/#_7","title":"\u4e94\u3001\u6545\u969c\u6392\u67e5","text":""},{"location":"Technology/SSH/#1","title":"1. \u6700\u4f73\u5b9e\u8df5","text":"Bash<pre><code># 1. \u4f7f\u7528SSH\u914d\u7f6e\u6587\u4ef6\u7ba1\u7406\u8fde\u63a5\n# 2. \u4e3a\u4e0d\u540c\u7528\u9014\u4f7f\u7528\u4e0d\u540c\u7684\u5bc6\u94a5\n# 3. \u5b9a\u671f\u8f6e\u6362\u5bc6\u94a5\n# 4. \u4f7f\u7528ssh-agent\u7ba1\u7406\u5bc6\u94a5\n# 5. \u5907\u4efdSSH\u914d\u7f6e\u548c\u5bc6\u94a5\n</code></pre>"},{"location":"Technology/SSH/#2_1","title":"2. \u5e38\u89c1\u95ee\u9898\u89e3\u51b3","text":"Bash<pre><code># \u8fde\u63a5\u88ab\u62d2\u7edd\nssh -v user@host  # \u67e5\u770b\u8be6\u7ec6\u8fde\u63a5\u4fe1\u606f\n\n# \u6743\u9650\u95ee\u9898\nls -la ~/.ssh     # \u68c0\u67e5\u6743\u9650\nchmod 600 ~/.ssh/id_ed25519\n\n# \u5bc6\u94a5\u95ee\u9898\nssh-add -l        # \u67e5\u770b\u5df2\u52a0\u8f7d\u7684\u5bc6\u94a5\nssh-add ~/.ssh/id_ed25519  # \u6dfb\u52a0\u5bc6\u94a5\u5230agent\n</code></pre>"},{"location":"Technology/SSH/#3_2","title":"3. \u65e5\u5fd7\u67e5\u770b","text":"Bash<pre><code># \u670d\u52a1\u5668\u7aef\nsudo tail -f /var/log/auth.log    # Debian/Ubuntu\nsudo tail -f /var/log/secure      # CentOS/RHEL\n\n# \u5ba2\u6237\u7aef\u8c03\u8bd5\nssh -vvv user@host  # \u6700\u8be6\u7ec6\u7684\u8c03\u8bd5\u4fe1\u606f\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/","title":"Tabby + Zsh \u914d\u7f6e\u6307\u5357","text":"<p> \u7ea6 236 \u4e2a\u5b57  789 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 11 \u5206\u949f</p>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_1","title":"\u524d\u7f6e\u51c6\u5907","text":"<p>\u7cfb\u7edf\u8981\u6c42</p> Bash<pre><code># Ubuntu/Debian\nsudo apt update\nsudo apt install -y \\\n    git \\\n    curl \\\n    wget \\\n    build-essential \\\n    cmake \\\n    python3-pip \\\n    pkg-config \\\n    libssl-dev\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#zsh","title":"ZSH \u57fa\u7840\u914d\u7f6e","text":"<p>ZSH \u5b89\u88c5</p> Bash<pre><code># \u5b89\u88c5zsh\nsudo apt install zsh\n\n# \u8bbe\u7f6e\u4e3a\u9ed8\u8ba4shell\nchsh -s $(which zsh)\n\n# \u786e\u8ba4\u8bbe\u7f6e\necho $SHELL\n# \u5e94\u8be5\u8f93\u51fa: /usr/bin/zsh\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#1-oh-my-zsh","title":"1. Oh My Zsh \u5b89\u88c5","text":"Bash<pre><code># \u5b89\u88c5Oh My Zsh\nsh -c \"$(curl -fsSL https://raw.github.com/ohmyzsh/ohmyzsh/master/tools/install.sh)\"\n\n# \u5907\u4efd\u9ed8\u8ba4\u914d\u7f6e\ncp ~/.zshrc ~/.zshrc.backup\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2","title":"2. \u63d2\u4ef6\u7ba1\u7406\u5668\u5b89\u88c5","text":"Bash<pre><code># \u5b89\u88c5zinit\nbash -c \"$(curl --fail --show-error --silent --location https://raw.githubusercontent.com/zdharma-continuum/zinit/HEAD/scripts/install.sh)\"\n\n# \u7b49\u5f85\u5b89\u88c5\u5b8c\u6210\u540e\u91cd\u542f\u7ec8\u7aef\nexec zsh\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3","title":"3. \u57fa\u7840\u914d\u7f6e\u6587\u4ef6","text":"Bash<pre><code># \u521b\u5efa\u65b0\u7684\u914d\u7f6e\u6587\u4ef6\ncat &lt;&lt; 'EOF' &gt; ~/.zshrc\n# \u57fa\u7840\u8bbe\u7f6e\nexport ZSH=\"$HOME/.oh-my-zsh\"\nexport LANG=en_US.UTF-8\nexport EDITOR='nvim'\nexport VISUAL='nvim'\n\n# zinit\u914d\u7f6e\nsource \"$HOME/.local/share/zinit/zinit.git/zinit.zsh\"\nautoload -Uz _zinit\n(( ${+_comps} )) &amp;&amp; _comps[zinit]=_zinit\n\n# \u52a0\u8f7d\u6838\u5fc3\u63d2\u4ef6\nzinit ice depth=1; zinit light romkatv/powerlevel10k  # \u4e3b\u9898\nzinit light zsh-users/zsh-autosuggestions           # \u547d\u4ee4\u5efa\u8bae\nzinit light zsh-users/zsh-syntax-highlighting       # \u8bed\u6cd5\u9ad8\u4eae\nzinit light zsh-users/zsh-completions              # \u8865\u5168\u589e\u5f3a\nzinit light agkozak/zsh-z                          # \u76ee\u5f55\u8df3\u8f6c\n\n# \u5386\u53f2\u8bb0\u5f55\u8bbe\u7f6e\nHISTFILE=\"$HOME/.zsh_history\"\nHISTSIZE=50000\nSAVEHIST=50000\nsetopt EXTENDED_HISTORY          # \u8bb0\u5f55\u547d\u4ee4\u65f6\u95f4\u6233\nsetopt HIST_EXPIRE_DUPS_FIRST   # \u4f18\u5148\u5220\u9664\u91cd\u590d\u547d\u4ee4\nsetopt HIST_IGNORE_DUPS         # \u5ffd\u7565\u8fde\u7eed\u91cd\u590d\u547d\u4ee4\nsetopt HIST_IGNORE_SPACE        # \u5ffd\u7565\u4ee5\u7a7a\u683c\u5f00\u5934\u7684\u547d\u4ee4\nsetopt HIST_VERIFY              # \u6267\u884c\u5386\u53f2\u547d\u4ee4\u524d\u5c55\u793a\nsetopt INC_APPEND_HISTORY       # \u5b9e\u65f6\u6dfb\u52a0\u5386\u53f2\u8bb0\u5f55\nsetopt SHARE_HISTORY           # \u5171\u4eab\u5386\u53f2\u8bb0\u5f55\n\n# \u76ee\u5f55\u8bbe\u7f6e\nsetopt AUTO_CD              \nsetopt AUTO_PUSHD          \nsetopt PUSHD_IGNORE_DUPS   \nsetopt PUSHD_MINUS         \nDIRSTACKSIZE=20\n\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#4","title":"4. \u5b9e\u7528\u522b\u540d\u8bbe\u7f6e","text":"Bash<pre><code># \u6dfb\u52a0\u5230~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u57fa\u7840\u547d\u4ee4\u589e\u5f3a\nalias ls='ls --color=auto'\nalias ll='ls -lah'\nalias la='ls -A'\nalias l='ls -CF'\nalias grep='grep --color=auto'\nalias rm='rm -i'\nalias cp='cp -i'\nalias mv='mv -i'\nalias mkdir='mkdir -p'\nalias df='df -h'\nalias free='free -m'\nalias duf='du -sh *'\nalias ps='ps auxf'\nalias ping='ping -c 5'\nalias root='sudo -i'\nalias reboot='sudo reboot'\nalias poweroff='sudo poweroff'\n\n# Git\u5feb\u6377\u547d\u4ee4\nalias gs='git status'\nalias ga='git add'\nalias gaa='git add --all'\nalias gc='git commit -m'\nalias gp='git push'\nalias gl='git pull'\nalias gd='git diff'\nalias gco='git checkout'\nalias gb='git branch'\nalias gm='git merge'\nalias glog='git log --oneline --decorate --graph'\n\n# Docker\u5feb\u6377\u547d\u4ee4\nalias dk='docker'\nalias dkc='docker-compose'\nalias dkps='docker ps'\nalias dkst='docker stats'\nalias dktop='docker top'\nalias dkimg='docker images'\nalias dkpull='docker pull'\nalias dkex='docker exec -it'\n\n# \u5feb\u901f\u7f16\u8f91\nalias zshconfig=\"$EDITOR ~/.zshrc\"\nalias zshreload=\"source ~/.zshrc\"\nalias vimconfig=\"$EDITOR ~/.vimrc\"\nalias tmuxconfig=\"$EDITOR ~/.tmux.conf\"\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#5","title":"5. \u5b9e\u7528\u51fd\u6570","text":"Bash<pre><code># \u6dfb\u52a0\u5230~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u521b\u5efa\u5e76\u8fdb\u5165\u76ee\u5f55\nmkcd() {\n    mkdir -p \"$1\" &amp;&amp; cd \"$1\"\n}\n\n# \u63d0\u53d6\u538b\u7f29\u6587\u4ef6\nextract() {\n    if [ -f $1 ]; then\n        case $1 in\n            *.tar.bz2)   tar xjf $1     ;;\n            *.tar.gz)    tar xzf $1     ;;\n            *.bz2)       bunzip2 $1     ;;\n            *.rar)       unrar e $1     ;;\n            *.gz)        gunzip $1      ;;\n            *.tar)       tar xf $1      ;;\n            *.tbz2)      tar xjf $1     ;;\n            *.tgz)       tar xzf $1     ;;\n            *.zip)       unzip $1       ;;\n            *.Z)         uncompress $1  ;;\n            *.7z)        7z x $1        ;;\n            *)          echo \"'$1' cannot be extracted\" ;;\n        esac\n    else\n        echo \"'$1' is not a valid file\"\n    fi\n}\n\n# \u5feb\u901f\u67e5\u627e\u6587\u4ef6\nff() { find . -type f -iname \"*$1*\" ; }\nfd() { find . -type d -iname \"*$1*\" ; }\n\n# \u5feb\u901f\u67e5\u770b\u8fdb\u7a0b\npsg() { ps aux | grep -v grep | grep -i -e VSZ -e \"$1\"; }\n\n# \u7f51\u7edc\u5de5\u5177\nmyip() {\n    curl -s http://ipecho.net/plain\n    echo\n}\n\n# \u5feb\u901fHTTP\u670d\u52a1\u5668\nserve() {\n    local port=\"${1:-8000}\"\n    python3 -m http.server \"$port\"\n}\n\n# Git\u65e5\u5fd7\u7f8e\u5316\ngll() {\n    git log --graph --pretty=format:'%Cred%h%Creset -%C(yellow)%d%Creset %s %Cgreen(%cr) %C(bold blue)&lt;%an&gt;%Creset' --abbrev-commit\n}\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_2","title":"\u4e3b\u9898\u7f8e\u5316\u4e0e\u63d2\u4ef6\u589e\u5f3a","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#powerlevel10k","title":"\u4e00\u3001Powerlevel10k \u4e3b\u9898\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1","title":"1. \u5b89\u88c5\u5fc5\u8981\u5b57\u4f53","text":"Bash<pre><code># \u521b\u5efa\u5b57\u4f53\u76ee\u5f55\nmkdir -p ~/.local/share/fonts\n\n# \u4e0b\u8f7d\u63a8\u8350\u5b57\u4f53\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Regular.ttf\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Bold.ttf\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Italic.ttf\nwget -P /tmp https://github.com/romkatv/powerlevel10k-media/raw/master/MesloLGS%20NF%20Bold%20Italic.ttf\n\n# \u79fb\u52a8\u5b57\u4f53\u6587\u4ef6\nmv /tmp/MesloLGS*.ttf ~/.local/share/fonts/\n\n# \u66f4\u65b0\u5b57\u4f53\u7f13\u5b58\nfc-cache -f -v\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2_1","title":"2. \u4e3b\u9898\u914d\u7f6e","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# Powerlevel10k \u914d\u7f6e\n# \u542f\u7528 Powerlevel10k \u5373\u65f6\u63d0\u793a\nif [[ -r \"${XDG_CACHE_HOME:-$HOME/.cache}/p10k-instant-prompt-${(%):-%n}.zsh\" ]]; then\n  source \"${XDG_CACHE_HOME:-$HOME/.cache}/p10k-instant-prompt-${(%):-%n}.zsh\"\nfi\n\n# \u52a0\u8f7d\u4e3b\u9898\nsource ~/.oh-my-zsh/custom/themes/powerlevel10k/powerlevel10k.zsh-theme\n\n# \u4e3b\u9898\u4e2a\u6027\u5316\u8bbe\u7f6e\nPOWERLEVEL9K_MODE='nerdfont-complete'\nPOWERLEVEL9K_LEFT_PROMPT_ELEMENTS=(\n  os_icon                 # \u64cd\u4f5c\u7cfb\u7edf\u56fe\u6807\n  dir                     # \u5f53\u524d\u76ee\u5f55\n  vcs                     # git\u72b6\u6001\n  newline                 # \u6362\u884c\n  prompt_char            # \u63d0\u793a\u7b26\n)\nPOWERLEVEL9K_RIGHT_PROMPT_ELEMENTS=(\n  status                  # \u4e0a\u4e00\u4e2a\u547d\u4ee4\u7684\u72b6\u6001\n  background_jobs        # \u540e\u53f0\u4efb\u52a1\n  load                   # \u7cfb\u7edf\u8d1f\u8f7d\n  ram                    # \u5185\u5b58\u4f7f\u7528\n  time                   # \u65f6\u95f4\n)\n\n# \u76ee\u5f55\u663e\u793a\u8bbe\u7f6e\nPOWERLEVEL9K_DIR_BACKGROUND='blue'\nPOWERLEVEL9K_DIR_FOREGROUND='black'\nPOWERLEVEL9K_SHORTEN_DIR_LENGTH=2\nPOWERLEVEL9K_SHORTEN_STRATEGY=\"truncate_middle\"\n\n# Git\u72b6\u6001\u8bbe\u7f6e\nPOWERLEVEL9K_VCS_CLEAN_BACKGROUND='green'\nPOWERLEVEL9K_VCS_UNTRACKED_BACKGROUND='yellow'\nPOWERLEVEL9K_VCS_MODIFIED_BACKGROUND='red'\nEOF\n\n# \u8fd0\u884c\u914d\u7f6e\u5411\u5bfc\uff08\u9996\u6b21\u4f7f\u7528\uff09\np10k configure\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_3","title":"\u4e8c\u3001\u9ad8\u7ea7\u63d2\u4ef6\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_1","title":"1. \u9ad8\u7ea7\u8865\u5168\u7cfb\u7edf","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u8865\u5168\u7cfb\u7edf\u914d\u7f6e\nautoload -Uz compinit\ncompinit\n\n# \u8865\u5168\u83dc\u5355\u8bbe\u7f6e\nzstyle ':completion:*' menu select\nzstyle ':completion:*' matcher-list 'm:{a-zA-Z}={A-Za-z}'   # \u5ffd\u7565\u5927\u5c0f\u5199\nzstyle ':completion:*' list-colors ${(s.:.)LS_COLORS}       # \u8865\u5168\u83dc\u5355\u7740\u8272\nzstyle ':completion:*' verbose yes                         # \u8be6\u7ec6\u8865\u5168\u83dc\u5355\nzstyle ':completion:*:descriptions' format '%U%B%d%b%u'     # \u8865\u5168\u83dc\u5355\u683c\u5f0f\nzstyle ':completion:*:warnings' format '%BSorry, no matches for: %d%b'\nzstyle ':completion:*:*:kill:*:processes' list-colors '=(#b) #([0-9]#)*=0=01;31'\nzstyle ':completion:*:kill:*' command 'ps -u $USER -o pid,%cpu,tty,cputime,cmd'\n\n# \u4f7f\u7528\u7f13\u5b58\u52a0\u901f\u8865\u5168\nzstyle ':completion:*' use-cache on\nzstyle ':completion:*' cache-path ~/.zsh/cache\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-fzf","title":"2. FZF \u96c6\u6210\u914d\u7f6e","text":"Bash<pre><code># \u5b89\u88c5FZF\ngit clone --depth 1 https://github.com/junegunn/fzf.git ~/.fzf\n~/.fzf/install\n\n# \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# FZF \u914d\u7f6e\nexport FZF_DEFAULT_COMMAND='fd --type f --hidden --follow --exclude .git'\nexport FZF_DEFAULT_OPTS='--height 40% --layout=reverse --border --preview \"bat --style=numbers --color=always --line-range :500 {}\"'\n\n# FZF \u5feb\u6377\u952e\nbindkey '^T' fzf-file-widget\nbindkey '^R' fzf-history-widget\nbindkey '^[c' fzf-cd-widget\n\n# FZF \u51fd\u6570\n# \u5feb\u901f\u6253\u5f00\u6587\u4ef6\nfe() {\n  local file\n  file=$(fzf --query=\"$1\" --select-1 --exit-0)\n  [ -n \"$file\" ] &amp;&amp; ${EDITOR:-vim} \"$file\"\n}\n\n# \u5feb\u901f\u5207\u6362\u76ee\u5f55\nfd() {\n  local dir\n  dir=$(find ${1:-.} -path '*/\\.*' -prune -o -type d -print 2&gt; /dev/null | fzf +m)\n  [ -n \"$dir\" ] &amp;&amp; cd \"$dir\"\n}\n\n# \u641c\u7d22\u5386\u53f2\u547d\u4ee4\nfh() {\n  print -z $( ([ -n \"$ZSH_NAME\" ] &amp;&amp; fc -l 1 || history) | fzf +s --tac | sed -E 's/ *[0-9]*\\*? *//' | sed -E 's/\\\\/\\\\\\\\/g')\n}\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3_1","title":"3. \u589e\u5f3a\u76ee\u5f55\u5bfc\u822a","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u76ee\u5f55\u4e66\u7b7e\nhash -d proj=~/projects\nhash -d docs=~/Documents\nhash -d dl=~/Downloads\nhash -d pics=~/Pictures\n\n# z \u63d2\u4ef6\u914d\u7f6e\nZSHZ_DATA=~/.local/share/z/data\nZSHZ_MAX_SCORE=5000\nZSHZ_CASE=smart\n\n# \u76ee\u5f55\u5806\u6808\u5bfc\u822a\nsetopt AUTO_PUSHD           # \u81ea\u52a8\u5c06\u76ee\u5f55\u52a0\u5165\u5806\u6808\nsetopt PUSHD_IGNORE_DUPS    # \u5ffd\u7565\u91cd\u590d\u76ee\u5f55\nsetopt PUSHD_SILENT        # \u9759\u9ed8\u6a21\u5f0f\nsetopt PUSHD_TO_HOME       # pushd \u4e0d\u5e26\u53c2\u6570\u65f6\u7b49\u540c\u4e8e pushd $HOME\n\n# \u76ee\u5f55\u522b\u540d\nalias -g ...='../..'\nalias -g ....='../../..'\nalias -g .....='../../../..'\nalias d='dirs -v'\nfor index ({1..9}) alias \"$index\"=\"cd +${index}\"; unset index\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#4_1","title":"4. \u589e\u5f3a\u5386\u53f2\u8bb0\u5f55\u641c\u7d22","text":"Bash<pre><code># \u6dfb\u52a0\u5230 ~/.zshrc\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u5386\u53f2\u8bb0\u5f55\u641c\u7d22\u914d\u7f6e\nbindkey '^[[A' history-substring-search-up\nbindkey '^[[B' history-substring-search-down\nbindkey '^P' history-substring-search-up\nbindkey '^N' history-substring-search-down\n\n# \u5386\u53f2\u8bb0\u5f55\u683c\u5f0f\u5316\nHIST_STAMPS=\"yyyy-mm-dd\"\nHISTORY_IGNORE=\"(ls|ls *|cd|cd *|pwd|exit|date|* --help)\"\n\n# \u547d\u4ee4\u6267\u884c\u65f6\u95f4\u663e\u793a\nREPORTTIME=10\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#tabby","title":"Tabby \u7ec8\u7aef\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#_4","title":"\u4e00\u3001\u5b89\u88c5\u548c\u521d\u59cb\u5316","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1-tabby","title":"1. \u5b89\u88c5 Tabby","text":"Bash<pre><code># Ubuntu/Debian\nwget https://github.com/Eugeny/tabby/releases/latest/download/tabby-1.0.0-linux-x64.deb\nsudo dpkg -i tabby-*.deb\nsudo apt-get install -f\n\n# \u786e\u4fdd\u5b57\u4f53\u652f\u6301\nfc-cache -fv\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2_2","title":"2. \u521d\u59cb\u914d\u7f6e","text":"YAML<pre><code># ~/.config/tabby/config.yaml\nconfig:\n  version: 3\n\nterminal:\n  shell: zsh  # \u4f7f\u7528\u524d\u9762\u914d\u7f6e\u7684zsh\n  fontSize: 14\n  lineHeight: 1.2\n  bell: 'off'\n  copyOnSelect: true\n  rightClick: menu\n\n  # \u57fa\u7840\u73af\u5883\u53d8\u91cf\n  environment:\n    TERM: xterm-256color\n    COLORTERM: truecolor\n\n  # \u6027\u80fd\u8bbe\u7f6e\n  performanceMode: true\n  gpuAcceleration: true\n  webGL: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_5","title":"\u4e8c\u3001\u5916\u89c2\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_2","title":"1. \u5b57\u4f53\u8bbe\u7f6e","text":"YAML<pre><code>terminal:\n  font: JetBrainsMono Nerd Font  # \u786e\u4fdd\u5df2\u5b89\u88c5\n  fontSize: 14\n  lineHeight: 1.2\n  ligatures: true  # \u8fde\u5b57\u652f\u6301\n\n  # \u5b57\u4f53\u56de\u9000\n  fallbackFont: 'Sarasa Mono SC'  # \u4e2d\u6587\u652f\u6301\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-dracula","title":"2. Dracula \u4e3b\u9898\u914d\u7f6e","text":"YAML<pre><code>profiles:\n  - name: Default\n    theme:\n      name: 'Dracula'\n\n    colors:\n      background: '#282a36'\n      foreground: '#f8f8f2'\n      cursor: '#f8f8f2'\n\n      selection:\n        background: '#44475a'\n        foreground: '#f8f8f2'\n\n      # ANSI Colors\n      black: '#21222c'\n      red: '#ff5555'\n      green: '#50fa7b'\n      yellow: '#f1fa8c'\n      blue: '#bd93f9'\n      magenta: '#ff79c6'\n      cyan: '#8be9fd'\n      white: '#f8f8f2'\n\n      # Bright Colors\n      brightBlack: '#6272a4'\n      brightRed: '#ff6e6e'\n      brightGreen: '#69ff94'\n      brightYellow: '#ffffa5'\n      brightBlue: '#d6acff'\n      brightMagenta: '#ff92df'\n      brightCyan: '#a4ffff'\n      brightWhite: '#ffffff'\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3_2","title":"3. \u900f\u660e\u80cc\u666f\u914d\u7f6e","text":"YAML<pre><code>terminal:\n  background:\n    type: 'image'  # \u6216 'color'\n    image: '~/.config/tabby/backgrounds/bg.jpg'  # \u81ea\u5b9a\u4e49\u80cc\u666f\u56fe\u7247\n    opacity: 0.85  # \u900f\u660e\u5ea6\n\n  # \u4e9a\u514b\u529b\u6548\u679c\uff08Windows\uff09\n  experimental:\n    vibrancy: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_6","title":"\u4e09\u3001\u5feb\u6377\u952e\u914d\u7f6e","text":"YAML<pre><code>hotkeys:\n  # \u6807\u7b7e\u7ba1\u7406\n  new-tab: ['Ctrl+T']\n  close-tab: ['Ctrl+W']\n  previous-tab: ['Ctrl+Shift+Tab']\n  next-tab: ['Ctrl+Tab']\n\n  # \u5206\u5c4f\u64cd\u4f5c\n  split-right: ['Ctrl+Shift+E']\n  split-bottom: ['Ctrl+Shift+O']\n  split-nav-left: ['Alt+Left']\n  split-nav-right: ['Alt+Right']\n  split-nav-up: ['Alt+Up']\n  split-nav-down: ['Alt+Down']\n\n  # \u7ec8\u7aef\u64cd\u4f5c\n  clear: ['Ctrl+L']\n  copy: ['Ctrl+C']\n  paste: ['Ctrl+V']\n  search: ['Ctrl+Shift+F']\n\n  # \u89c6\u56fe\u63a7\u5236\n  zoom-in: ['Ctrl+Plus']\n  zoom-out: ['Ctrl+Minus']\n  reset-zoom: ['Ctrl+0']\n  toggle-fullscreen: ['F11']\n\n  # \u5feb\u901f\u547d\u4ee4\n  command-palette: ['Ctrl+Shift+P']\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#ssh","title":"\u56db\u3001SSH \u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1-ssh","title":"1. \u57fa\u7840 SSH \u914d\u7f6e","text":"YAML<pre><code>ssh:\n  auth:\n    agent: true\n    privateKeys:\n      - ~/.ssh/id_ed25519\n      - ~/.ssh/id_rsa\n\n  # \u8fde\u63a5\u4fdd\u6301\n  keepaliveInterval: 30\n  keepaliveCountMax: 3\n\n  # \u8f6c\u53d1\u8bbe\u7f6e\n  forwardAgent: true\n  x11: false\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-ssh","title":"2. SSH \u8fde\u63a5\u914d\u7f6e","text":"YAML<pre><code>ssh:\n  profiles:\n    - name: \"\u5f00\u53d1\u670d\u52a1\u5668\"\n      group: \"\u5f00\u53d1\u73af\u5883\"\n      host: dev.example.com\n      port: 22\n      user: username\n      auth: publicKey\n      privateKey: ~/.ssh/id_ed25519\n\n    - name: \"\u751f\u4ea7\u670d\u52a1\u5668\"\n      group: \"\u751f\u4ea7\u73af\u5883\"\n      host: prod.example.com\n      port: 22\n      user: username\n      auth: agent\n\n    - name: \"\u8df3\u677f\u673a\"\n      host: jump.example.com\n      forwardAgent: true\n      jumpHost: true  # \u6807\u8bb0\u4e3a\u8df3\u677f\u673a\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_7","title":"\u4e94\u3001\u63d2\u4ef6\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_3","title":"1. \u6838\u5fc3\u63d2\u4ef6","text":"YAML<pre><code>plugins:\n  # SSH\u7ba1\u7406\n  ssh:\n    enabled: true\n\n  # \u7ec8\u7aef\u5f55\u5236\n  record:\n    enabled: true\n    directory: ~/terminal-records\n\n  # \u547d\u4ee4\u9762\u677f\n  commander:\n    enabled: true\n\n  # \u4e3b\u9898\u63d2\u4ef6\n  community-color-schemes:\n    enabled: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2_3","title":"2. \u6269\u5c55\u529f\u80fd","text":"YAML<pre><code># \u641c\u7d22\u589e\u5f3a\nsearch:\n  enabled: true\n  searchOptions:\n    regex: true\n    wholeWord: false\n    caseSensitive: false\n\n# \u7ec8\u7aef\u5206\u5272\nsplit:\n  autoRemove: true  # \u81ea\u52a8\u5173\u95ed\u7a7a\u7ec8\u7aef\n  copyOnSelect: true\n  pasteOnMiddleClick: true\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_8","title":"\u516d\u3001\u6027\u80fd\u4f18\u5316","text":"YAML<pre><code># \u6027\u80fd\u76f8\u5173\u914d\u7f6e\nterminal:\n  # \u57fa\u7840\u4f18\u5316\n  performanceMode: true\n  gpuAcceleration: true\n  webGL: true\n\n  # \u5386\u53f2\u8bb0\u5f55\n  scrollback: 5000\n\n  # \u8fdb\u7a0b\u7ba1\u7406\n  autoClose: true\n  closeOnExit: true\n\n  # \u6e32\u67d3\u4f18\u5316\n  smoothScroll: false\n  experimentalFontRendering: false\n\n  # \u8d44\u6e90\u9650\u5236\n  environment:\n    LIMIT_MEMORY: 512  # MB\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#_9","title":"\u5f00\u53d1\u5de5\u5177\u4e0e\u7ec8\u7aef\u5de5\u5177\u914d\u7f6e","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#_10","title":"\u4e00\u3001\u73b0\u4ee3\u547d\u4ee4\u884c\u5de5\u5177","text":""},{"location":"Technology/Tabby%20%2B%20Zsh/#1_4","title":"1. \u57fa\u7840\u5de5\u5177\u5b89\u88c5","text":"Bash<pre><code># \u5b89\u88c5\u57fa\u7840\u5de5\u5177\nsudo apt install -y \\\n    exa `# \u73b0\u4ee3ls\u66ff\u4ee3\u54c1` \\\n    bat `# \u73b0\u4ee3cat\u66ff\u4ee3\u54c1` \\\n    ripgrep `# \u73b0\u4ee3grep\u66ff\u4ee3\u54c1` \\\n    fd-find `# \u73b0\u4ee3find\u66ff\u4ee3\u54c1` \\\n    duf `# \u73b0\u4ee3df\u66ff\u4ee3\u54c1` \\\n    ncdu `# \u78c1\u76d8\u4f7f\u7528\u5206\u6790` \\\n    tldr `# \u547d\u4ee4\u7b80\u5316\u8bf4\u660e` \\\n    jq `# JSON\u5904\u7406` \\\n    fzf `# \u6a21\u7cca\u641c\u7d22`\n\n# \u521b\u5efa\u522b\u540d\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# \u73b0\u4ee3\u547d\u4ee4\u884c\u5de5\u5177\u522b\u540d\nalias ls='exa --icons'\nalias ll='exa -l --icons --git'\nalias la='exa -la --icons --git'\nalias lt='exa -T --icons --git-ignore'\nalias cat='batcat'\nalias find='fd'\nalias du='ncdu'\nalias df='duf'\nalias help='tldr'\n\n# fzf \u914d\u7f6e\nexport FZF_DEFAULT_OPTS=\"--height 40% --layout=reverse --border \\\n    --preview 'batcat --style=numbers --color=always --line-range :500 {}'\"\nexport FZF_DEFAULT_COMMAND='fd --type f --hidden --follow --exclude .git'\nexport FZF_CTRL_T_COMMAND=\"$FZF_DEFAULT_COMMAND\"\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#2-ranger","title":"2. \u6587\u4ef6\u7ba1\u7406\u5668 - Ranger","text":"Bash<pre><code># \u5b89\u88c5ranger\u548c\u4f9d\u8d56\nsudo apt install ranger python3-pillow ueberzug\n\n# \u751f\u6210\u914d\u7f6e\u6587\u4ef6\nranger --copy-config=all\n\n# \u914d\u7f6eRanger\ncat &lt;&lt; 'EOF' &gt; ~/.config/ranger/rc.conf\n# \u57fa\u7840\u8bbe\u7f6e\nset preview_images true\nset preview_images_method ueberzug\nset show_hidden true\nset hostname_in_titlebar false\nset tilde_in_titlebar true\nset line_numbers relative\nset mouse_enabled true\n\n# \u914d\u8272\u65b9\u6848\nset colorscheme solarized\n\n# \u6587\u4ef6\u9884\u89c8\nset use_preview_script true\nset preview_files true\nset preview_directories true\nset collapse_preview true\n\n# \u5feb\u6377\u952e\nmap &lt;C-f&gt; fzf_select\nmap &lt;C-p&gt; shell -w echo %d/%f | xsel -b\nmap &lt;C-g&gt; shell lazygit\nEOF\n\n# \u6dfb\u52a0FZF\u96c6\u6210\ncat &lt;&lt; 'EOF' &gt; ~/.config/ranger/commands.py\nfrom ranger.api.commands import Command\nclass fzf_select(Command):\n    def execute(self):\n        import subprocess\n        import os.path\n        command=\"find -L . \\( -path '*/\\.*' -o -fstype 'dev' -o -fstype 'proc' \\) -prune \\\n            -o -print 2&gt; /dev/null | sed 1d | cut -b3- | fzf +m\"\n        fzf = self.fm.execute_command(command, universal_newlines=True, stdout=subprocess.PIPE)\n        stdout, stderr = fzf.communicate()\n        if fzf.returncode == 0:\n            fzf_file = os.path.abspath(stdout.rstrip('\\n'))\n            if os.path.isdir(fzf_file):\n                self.fm.cd(fzf_file)\n            else:\n                self.fm.select_file(fzf_file)\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#3-htopglances","title":"3. \u7cfb\u7edf\u76d1\u63a7 - htop/glances","text":"Bash<pre><code># \u5b89\u88c5\u5de5\u5177\nsudo apt install htop glances\n\n# htop\u914d\u7f6e\nmkdir -p ~/.config/htop\ncat &lt;&lt; 'EOF' &gt; ~/.config/htop/htoprc\n# \u57fa\u7840\u663e\u793a\u8bbe\u7f6e\nshow_cpu_frequency=1\nshow_cpu_temperature=1\nshow_program_path=0\nhighlight_base_name=1\nhighlight_megabytes=1\nhighlight_threads=1\n\n# \u663e\u793a\u8bbe\u7f6e\nfields=0 48 17 18 38 39 40 2 46 47 49 1\nsort_key=46\nsort_direction=-1\ntree_view=1\ntree_view_always_by_pid=0\n\n# \u989c\u8272\u8bbe\u7f6e\ncolor_scheme=0\nEOF\n\n# glances\u914d\u7f6e\nmkdir -p ~/.config/glances\ncat &lt;&lt; 'EOF' &gt; ~/.config/glances/glances.conf\n[global]\n# \u5237\u65b0\u95f4\u9694\nrefresh=2\n# \u5386\u53f2\u5927\u5c0f\nhistory_size=1200\n\n[cpu]\n# CPU \u8b66\u544a\u9608\u503c\ncareful=50\nwarning=70\ncritical=90\n\n[memory]\n# \u5185\u5b58\u8b66\u544a\u9608\u503c\ncareful=50\nwarning=70\ncritical=90\n\n[network]\n# \u7f51\u7edc\u5e26\u5bbd\u663e\u793a\u5355\u4f4d (bit/sec)\nunit=bit\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#4-git-lazygit","title":"4. Git \u5de5\u5177 - Lazygit","text":"Bash<pre><code># \u5b89\u88c5Lazygit\nLAZYGIT_VERSION=$(curl -s \"https://api.github.com/repos/jesseduffield/lazygit/releases/latest\" | grep -Po '\"tag_name\": \"v\\K[^\"]*')\ncurl -Lo lazygit.tar.gz \"https://github.com/jesseduffield/lazygit/releases/latest/download/lazygit_${LAZYGIT_VERSION}_Linux_x86_64.tar.gz\"\nsudo tar xf lazygit.tar.gz -C /usr/local/bin lazygit\n\n# \u914d\u7f6eLazygit\nmkdir -p ~/.config/lazygit\ncat &lt;&lt; 'EOF' &gt; ~/.config/lazygit/config.yml\ngui:\n  # UI\u4e3b\u9898\n  theme:\n    lightTheme: false\n    activeBorderColor:\n      - green\n      - bold\n    inactiveBorderColor:\n      - white\n    selectedLineBgColor:\n      - reverse\n  # \u5e38\u7528\u8bbe\u7f6e  \n  showFileTree: true\n  showRandomTip: false\n  showCommandLog: false\n\ngit:\n  # git\u8bbe\u7f6e\n  paging:\n    colorArg: always\n    useConfig: true\n  # commit\u8bbe\u7f6e\n  commits:\n    showGraph: always\n    showWholeGraph: true\n  # \u81ea\u52a8\u83b7\u53d6\n  autoFetch: true\n  # \u5206\u652f\u663e\u793a\n  branchLogCmd: \"git log --graph --color=always --abbrev-commit --decorate --date=relative --pretty=medium {{branchName}} --\"\n\nkeybinding:\n  # \u81ea\u5b9a\u4e49\u5feb\u6377\u952e\n  universal:\n    return: '&lt;c-c&gt;'\n    quit: 'q'\n    quit-alt1: '&lt;esc&gt;'\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#5_1","title":"5. \u4ee3\u7801\u641c\u7d22\u5de5\u5177","text":"Bash<pre><code># ripgrep\u914d\u7f6e\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# ripgrep \u914d\u7f6e\nexport RIPGREP_CONFIG_PATH=\"$HOME/.ripgreprc\"\n\n# ripgrep \u522b\u540d\nalias rg='rg --smart-case'\nalias rgf='rg --files | rg'\nalias rgh='rg --hidden'\nalias rgc='rg --count'\n\n# fzf + ripgrep \u96c6\u6210\nfif() {\n    if [ ! \"$#\" -gt 0 ]; then echo \"Need a string to search for!\"; return 1; fi\n    rg --files-with-matches --no-messages \"$1\" | fzf --preview \"highlight -O ansi -l {} 2&gt; /dev/null | rg --colors 'match:bg:yellow' --ignore-case --pretty --context 10 '$1' || rg --ignore-case --pretty --context 10 '$1' {}\"\n}\nEOF\n\n# \u521b\u5efaripgrep\u914d\u7f6e\u6587\u4ef6\ncat &lt;&lt; 'EOF' &gt; ~/.ripgreprc\n# \u9ed8\u8ba4\u914d\u7f6e\n--smart-case\n--hidden\n--follow\n--glob=!.git/*\n\n# \u641c\u7d22\u914d\u7f6e\n--max-columns=150\n--max-columns-preview\n\n# \u989c\u8272\u914d\u7f6e\n--colors=line:fg:yellow\n--colors=line:style:bold\n--colors=path:fg:green\n--colors=path:style:bold\n--colors=match:fg:black\n--colors=match:bg:yellow\n--colors=match:style:nobold\nEOF\n</code></pre>"},{"location":"Technology/Tabby%20%2B%20Zsh/#6","title":"6. \u5b9e\u7528\u5f00\u53d1\u5de5\u5177","text":"Bash<pre><code># \u5b89\u88c5\u5f00\u53d1\u8f85\u52a9\u5de5\u5177\nsudo apt install -y \\\n    shellcheck `# shell\u811a\u672c\u68c0\u67e5` \\\n    python3-pip `# Python\u5305\u7ba1\u7406` \\\n    nodejs npm `# Node.js\u73af\u5883` \\\n    golang `# Go\u8bed\u8a00\u73af\u5883` \\\n    docker.io `# Docker\u652f\u6301` \\\n    postgresql-client `# \u6570\u636e\u5e93\u5ba2\u6237\u7aef` \\\n    redis-tools `# Redis\u5ba2\u6237\u7aef` \\\n    mycli `# MySQL\u5ba2\u6237\u7aef` \\\n    httpie `# HTTP\u5ba2\u6237\u7aef`\n\n# \u6dfb\u52a0\u5b9e\u7528\u522b\u540d\u548c\u51fd\u6570\ncat &lt;&lt; 'EOF' &gt;&gt; ~/.zshrc\n# Docker\u522b\u540d\nalias dk='docker'\nalias dkc='docker-compose'\nalias dkps='docker ps'\nalias dkst='docker stats'\nalias dkimg='docker images'\nalias dkpull='docker pull'\nalias dkexec='docker exec -it'\n\n# \u5f00\u53d1\u8f85\u52a9\u51fd\u6570\n# \u5feb\u901fHTTP\u670d\u52a1\u5668\nserve() {\n    local port=\"${1:-8000}\"\n    python3 -m http.server \"$port\"\n}\n\n# JSON\u683c\u5f0f\u5316\njson() {\n    if [ -t 0 ]; then  # \u53c2\u6570\u8f93\u5165\n        python -m json.tool &lt;&lt;&lt; \"$*\" | pygmentize -l json\n    else  # \u7ba1\u9053\u8f93\u5165\n        python -m json.tool | pygmentize -l json\n    fi\n}\n\n# Git\u5206\u652f\u6e05\u7406\ngit-clean() {\n    git branch --merged | egrep -v \"(^\\*|master|main|dev)\" | xargs git branch -d\n}\n\n# \u73af\u5883\u53d8\u91cf\u7ba1\u7406\nenvfile() {\n    if [[ -f \"$1\" ]]; then\n        set -a\n        source \"$1\"\n        set +a\n    else\n        echo \"Error: File $1 not found\"\n        return 1\n    fi\n}\nEOF\n</code></pre>"},{"location":"Technology/chezmoi/","title":"\u7528 chezmoi \u5b9e\u73b0\u8de8\u8bbe\u5907\u540c\u6b65\u914d\u7f6e","text":"<p> \u7ea6 512 \u4e2a\u5b57  142 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p>\u672c\u6307\u5357\u5c06\u5e2e\u52a9\u4f60\u4f7f\u7528 chezmoi \u7ba1\u7406\u4f60\u7684\u914d\u7f6e\u6587\u4ef6\uff08dotfiles\uff09\uff0c\u5e76\u4f7f\u7528\u5305\u7ba1\u7406\u5668\u7ef4\u62a4\u8f6f\u4ef6\u5217\u8868\u3002</p>"},{"location":"Technology/chezmoi/#_1","title":"\u524d\u671f\u51c6\u5907","text":""},{"location":"Technology/chezmoi/#1","title":"1. \u9700\u8981\u7684\u5de5\u5177","text":"<ul> <li>Git</li> <li>GitHub \u8d26\u53f7</li> <li>chezmoi</li> <li>\u5305\u7ba1\u7406\u5668\uff08Windows: Scoop, Ubuntu: apt/snap\uff09</li> </ul>"},{"location":"Technology/chezmoi/#2","title":"2. \u91cd\u8981\u7684\u914d\u7f6e\u6587\u4ef6","text":"<p>Windows \u5e38\u7528\u914d\u7f6e\u6587\u4ef6:</p> Text Only<pre><code>%USERPROFILE%/\n\u251c\u2500\u2500 .gitconfig                        # Git\u914d\u7f6e\n\u251c\u2500\u2500 .ssh/                            # SSH\u914d\u7f6e\n\u251c\u2500\u2500 Documents/\n\u2502   \u2514\u2500\u2500 PowerShell/\n\u2502       \u2514\u2500\u2500 Microsoft.PowerShell_profile.ps1  # PowerShell\u914d\u7f6e\n\u251c\u2500\u2500 AppData/\n\u2502   \u251c\u2500\u2500 Roaming/\n\u2502   \u2502   \u2514\u2500\u2500 Code/\n\u2502   \u2502       \u2514\u2500\u2500 User/\n\u2502   \u2502           \u2514\u2500\u2500 settings.json    # VSCode\u914d\u7f6e\n\u2502   \u2514\u2500\u2500 Local/\n\u2514\u2500\u2500 .config/\n    \u2514\u2500\u2500 scoop/\n        \u2514\u2500\u2500 config.json              # Scoop\u914d\u7f6e\n</code></pre> <p>Ubuntu \u5e38\u7528\u914d\u7f6e\u6587\u4ef6:</p> Text Only<pre><code>~/\n\u251c\u2500\u2500 .bashrc                          # Bash\u914d\u7f6e\n\u251c\u2500\u2500 .zshrc                           # Zsh\u914d\u7f6e\n\u251c\u2500\u2500 .gitconfig                       # Git\u914d\u7f6e\n\u251c\u2500\u2500 .ssh/                           # SSH\u914d\u7f6e\n\u2514\u2500\u2500 .config/\n    \u251c\u2500\u2500 Code/\n    \u2502   \u2514\u2500\u2500 User/\n    \u2502       \u2514\u2500\u2500 settings.json       # VSCode\u914d\u7f6e\n    \u2514\u2500\u2500 tabby/\n        \u2514\u2500\u2500 config.yaml            # Tabby\u7ec8\u7aef\u914d\u7f6e\n</code></pre>"},{"location":"Technology/chezmoi/#github","title":"GitHub \u8bbe\u7f6e","text":""},{"location":"Technology/chezmoi/#1-github","title":"1. \u521b\u5efa GitHub \u4ed3\u5e93","text":"<ol> <li>\u8bbf\u95ee GitHub \u5e76\u767b\u5f55</li> <li>\u70b9\u51fb \"New repository\"</li> <li>\u4ed3\u5e93\u540d\u79f0\u8bbe\u7f6e\u4e3a <code>dotfiles</code></li> <li>\u8bbe\u7f6e\u4e3a Public\uff08\u63a8\u8350\uff09</li> <li>\u4e0d\u8981\u521d\u59cb\u5316 README\uff08\u6211\u4eec\u5c06\u4ece\u672c\u5730\u521d\u59cb\u5316\uff09</li> <li>\u521b\u5efa\u4ed3\u5e93</li> </ol>"},{"location":"Technology/chezmoi/#2-ssh","title":"2. \u914d\u7f6e SSH \u5bc6\u94a5\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09","text":"Bash<pre><code># \u751f\u6210SSH\u5bc6\u94a5\nssh-keygen -t ed25519 -C \"your_email@example.com\"\n\n# \u5c06\u516c\u94a5\u6dfb\u52a0\u5230GitHub\n# 1. \u590d\u5236\u516c\u94a5\u5185\u5bb9\ncat ~/.ssh/id_ed25519.pub\n# 2. \u8bbf\u95ee GitHub \u2192 Settings \u2192 SSH and GPG keys \u2192 New SSH key\n# 3. \u7c98\u8d34\u516c\u94a5\u5185\u5bb9\u5e76\u4fdd\u5b58\n</code></pre>"},{"location":"Technology/chezmoi/#windows","title":"Windows \u914d\u7f6e","text":""},{"location":"Technology/chezmoi/#1_1","title":"1. \u5b89\u88c5\u5fc5\u8981\u5de5\u5177","text":"<p>\u4f7f\u7528 PowerShell\uff08\u4ee5\u7ba1\u7406\u5458\u8eab\u4efd\u8fd0\u884c\uff09\uff1a</p> PowerShell<pre><code># \u5b89\u88c5Scoop\nSet-ExecutionPolicy RemoteSigned -Scope CurrentUser\nirm get.scoop.sh | iex\n\n# \u5b89\u88c5Git\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09\nscoop install git\n\n# \u5b89\u88c5chezmoi\nscoop install chezmoi\n</code></pre>"},{"location":"Technology/chezmoi/#2-chezmoi","title":"2. \u521d\u59cb\u5316 chezmoi","text":"PowerShell<pre><code># \u521d\u59cb\u5316chezmoi\u5e76\u514b\u9686\u4f60\u7684\u4ed3\u5e93\nchezmoi init --apply https://github.com/yourusername/dotfiles.git\n# \u7528 ssh \u4e5f\u53ef\u4ee5\n\n# \u67e5\u770bchezmoi\u5c06\u8fdb\u884c\u7684\u66f4\u6539\nchezmoi diff\n\n# \u5c06\u73b0\u6709\u914d\u7f6e\u6587\u4ef6\u6dfb\u52a0\u5230chezmoi\nchezmoi add $HOME/.gitconfig\nchezmoi add $HOME/.ssh/config\nchezmoi add $HOME/Documents/PowerShell/Microsoft.PowerShell_profile.ps1\nchezmoi add $HOME/AppData/Roaming/Code/User/settings.json\n\n# \u63d0\u4ea4\u5e76\u63a8\u9001\u66f4\u6539\nchezmoi cd\ngit add .\ngit commit -m \"Initial Windows config\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#3","title":"3. \u5bfc\u51fa\u8f6f\u4ef6\u5305\u5217\u8868","text":"PowerShell<pre><code># \u5bfc\u51faScoop\u5305\u5217\u8868\nscoop export &gt; packages/scoop-packages.txt\n\n# \u63d0\u4ea4\u5305\u5217\u8868\nchezmoi cd\ngit add packages/scoop-packages.txt\ngit commit -m \"Add Windows package list\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#ubuntu","title":"Ubuntu \u914d\u7f6e","text":""},{"location":"Technology/chezmoi/#1_2","title":"1. \u5b89\u88c5\u5fc5\u8981\u5de5\u5177","text":"Bash<pre><code># \u5b89\u88c5Git\uff08\u5982\u679c\u8fd8\u6ca1\u6709\uff09\nsudo apt update\nsudo apt install git\n\n# \u5b89\u88c5chezmoi\nsh -c \"$(curl -fsLS get.chezmoi.io)\"\n</code></pre> <p>\u53c2\u8003\u8fd9\u4e2a\u7f51\u7ad9 Install - chezmoi \u8fdb\u884c\u4e0b\u8f7d\uff0c\u6211\u547d\u4ee4\u884c\u4e00\u76f4\u4e0d\u6210\u529f\uff0c\u76f4\u63a5\u9009\u62e9\u5bf9\u5e94\u7684\u5305\u5c31\u884c\u4e86\u3002</p> Text Only<pre><code>sudo dpkg -i chezmoi_2.54.0_linux_amd64.deb\nchezmoi --version\n</code></pre>"},{"location":"Technology/chezmoi/#2-chezmoi_1","title":"2. \u521d\u59cb\u5316 chezmoi","text":"Bash<pre><code># \u521d\u59cb\u5316chezmoi\u5e76\u514b\u9686\u4f60\u7684\u4ed3\u5e93\nchezmoi init --apply https://github.com/yourusername/dotfiles.git\n\n# \u67e5\u770bchezmoi\u5c06\u8fdb\u884c\u7684\u66f4\u6539\nchezmoi diff\n\n# \u5c06\u73b0\u6709\u914d\u7f6e\u6587\u4ef6\u6dfb\u52a0\u5230chezmoi\nchezmoi add ~/.bashrc\nchezmoi add ~/.zshrc\nchezmoi add ~/.gitconfig\nchezmoi add ~/.ssh/config\nchezmoi add ~/.config/Code/User/settings.json\n\n# \u63d0\u4ea4\u5e76\u63a8\u9001\u66f4\u6539\nchezmoi cd\ngit add .\ngit commit -m \"Initial Ubuntu config\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#3_1","title":"3. \u5bfc\u51fa\u8f6f\u4ef6\u5305\u5217\u8868","text":"Bash<pre><code>chezmoi cd\nmkdir packages\n# \u5bfc\u51faapt\u5305\u5217\u8868\ndpkg --get-selections | grep -v deinstall | awk '{print $1}' &gt; packages/apt-packages.txt\n\n# \u5bfc\u51fasnap\u5305\u5217\u8868\nsnap list | awk '{if (NR&gt;1) print $1}' &gt; packages/snap-packages.txt\n\n# \u63d0\u4ea4\u5305\u5217\u8868\ngit add packages/apt-packages.txt packages/snap-packages.txt\ngit commit -m \"Add Ubuntu package lists\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#_2","title":"\u65e5\u5e38\u4f7f\u7528","text":""},{"location":"Technology/chezmoi/#1_3","title":"1. \u66f4\u65b0\u914d\u7f6e","text":"<p>\u5f53\u4f60\u4fee\u6539\u4e86\u914d\u7f6e\u6587\u4ef6\u540e\uff1a</p> Bash<pre><code># \u5c06\u66f4\u6539\u6dfb\u52a0\u5230chezmoi\nchezmoi add ~/.bashrc  # \u6216\u5176\u4ed6\u4fee\u6539\u7684\u914d\u7f6e\u6587\u4ef6\n\n# \u67e5\u770b\u66f4\u6539\nchezmoi diff\n\n# \u63d0\u4ea4\u5e76\u63a8\u9001\u66f4\u6539\nchezmoi cd\ngit add .\ngit commit -m \"Update bashrc\"\ngit push\n</code></pre>"},{"location":"Technology/chezmoi/#2_1","title":"2. \u5728\u5176\u4ed6\u673a\u5668\u4e0a\u540c\u6b65","text":"Bash<pre><code># \u62c9\u53d6\u5e76\u5e94\u7528\u6700\u65b0\u66f4\u6539\nchezmoi update\n</code></pre>"},{"location":"Technology/chezmoi/#3_2","title":"3. \u66f4\u65b0\u8f6f\u4ef6\u5305\u5217\u8868","text":"<p>Windows:</p> PowerShell<pre><code># \u66f4\u65b0Scoop\u5305\u5217\u8868\nscoop export &gt; packages/scoop-packages.txt\n</code></pre> <p>Ubuntu:</p> Bash<pre><code># \u66f4\u65b0apt\u5305\u5217\u8868\ndpkg --get-selections | grep -v deinstall | awk '{print $1}' &gt; packages/apt-packages.txt\n\n# \u66f4\u65b0snap\u5305\u5217\u8868\nsnap list | awk '{if (NR&gt;1) print $1}' &gt; packages/snap-packages.txt\n</code></pre>"},{"location":"Technology/chezmoi/#4","title":"4. \u5728\u65b0\u673a\u5668\u4e0a\u8bbe\u7f6e","text":"<p>Windows:</p> PowerShell<pre><code># \u5b89\u88c5chezmoi\nscoop install chezmoi\n\n# \u521d\u59cb\u5316\u5e76\u5e94\u7528\u914d\u7f6e\nchezmoi init https://github.com/yourusername/dotfiles.git\nchezmoi apply\n</code></pre> <p>Ubuntu:</p> Bash<pre><code># \u5b89\u88c5chezmoi\nsh -c \"$(curl -fsLS get.chezmoi.io)\"\n\n# \u521d\u59cb\u5316\u5e76\u5e94\u7528\u914d\u7f6e\nchezmoi init https://github.com/yourusername/dotfiles.git\nchezmoi apply\n</code></pre>"},{"location":"Technology/chezmoi/#_3","title":"\u5e38\u89c1\u95ee\u9898","text":""},{"location":"Technology/chezmoi/#1_4","title":"1. \u5982\u4f55\u5904\u7406\u4e0d\u540c\u673a\u5668\u7684\u7279\u5b9a\u914d\u7f6e\uff1f","text":"<p>\u4f7f\u7528\u6a21\u677f\u548c\u6761\u4ef6\u8bed\u53e5\u3002\u5728 <code>.chezmoi.toml.tmpl</code> \u4e2d\uff1a</p> TOML<pre><code>{{- $osid := .chezmoi.os -}}\n[data]\n    name = \"Your Name\"\n    email = \"your@email.com\"\n    {{- if eq .chezmoi.os \"windows\" }}\n    is_windows = true\n    {{- else if eq .chezmoi.os \"linux\" }}\n    is_linux = true\n    {{- end }}\n</code></pre>"},{"location":"Technology/chezmoi/#2_2","title":"2. \u5982\u4f55\u5904\u7406\u654f\u611f\u4fe1\u606f\uff1f","text":"<p>\u5bf9\u4e8e\u654f\u611f\u4fe1\u606f\uff0c\u53ef\u4ee5\uff1a</p> <ol> <li>\u4f7f\u7528\u6a21\u677f\u548c\u73af\u5883\u53d8\u91cf</li> <li>\u4f7f\u7528 chezmoi \u7684\u52a0\u5bc6\u529f\u80fd</li> <li>\u5c06\u654f\u611f\u4fe1\u606f\u5b58\u50a8\u5728\u5355\u72ec\u7684\u79c1\u6709\u4ed3\u5e93\u4e2d</li> </ol>"},{"location":"Technology/chezmoi/#3_3","title":"3. \u5982\u4f55\u64a4\u9500\u66f4\u6539\uff1f","text":"Bash<pre><code># \u67e5\u770b\u5c06\u8981\u8fdb\u884c\u7684\u66f4\u6539\nchezmoi diff\n\n# \u5982\u679c\u4e0d\u6ee1\u610f\uff0c\u53ef\u4ee5\u64a4\u9500\nchezmoi forget ~/.bashrc  # \u79fb\u9664\u6587\u4ef6\u7684\u7ba1\u7406\n\n# \u6216\u8005\u91cd\u7f6e\u4e3a\u539f\u59cb\u72b6\u6001\nchezmoi apply --force\n</code></pre>"},{"location":"Technology/chezmoi/#4_1","title":"4. \u914d\u7f6e\u6587\u4ef6\u6743\u9650\u95ee\u9898\uff1f","text":"<p>chezmoi \u4f1a\u81ea\u52a8\u5904\u7406\u6587\u4ef6\u6743\u9650\u3002\u5bf9\u4e8e\u7279\u6b8a\u6743\u9650\u9700\u6c42\uff0c\u53ef\u4ee5\u5728\u6e90\u6587\u4ef6\u540d\u4e2d\u4f7f\u7528\u7279\u6b8a\u524d\u7f00\uff1a</p> <ul> <li><code>private_</code> : \u521b\u5efa\u79c1\u6709\u6587\u4ef6 (chmod 600)</li> <li><code>executable_</code> : \u521b\u5efa\u53ef\u6267\u884c\u6587\u4ef6 (chmod 700)</li> <li><code>readonly_</code> : \u521b\u5efa\u53ea\u8bfb\u6587\u4ef6 (chmod 400)</li> </ul>"},{"location":"Technology/chezmoi/#5","title":"5. \u5982\u4f55\u67e5\u770b\u7ba1\u7406\u7684\u6587\u4ef6\uff1f","text":"Bash<pre><code># \u5217\u51fa\u6240\u6709\u7ba1\u7406\u7684\u6587\u4ef6\nchezmoi managed\n\n# \u67e5\u770b\u6e90\u6587\u4ef6\nchezmoi cd\nls -la\n</code></pre>"},{"location":"Technology/chezmoi/#6","title":"6. \u66f4\u65b0\u51fa\u9519\u600e\u4e48\u529e\uff1f","text":"Bash<pre><code># \u5907\u4efd\u5f53\u524d\u72b6\u6001\nchezmoi archive --output=backup.tar.gz\n\n# \u91cd\u7f6e\u66f4\u6539\nchezmoi init --force\n\n# \u91cd\u65b0\u5e94\u7528\u914d\u7f6e\nchezmoi apply\n</code></pre>"},{"location":"Technology/ffb6d-docker/","title":"Docker\u4ece\u5165\u95e8\u5230\u5b9e\u8df5\uff1a\u4ee5FFB6D\u73af\u5883\u914d\u7f6e\u4e3a\u4f8b","text":"<p> \u7ea6 653 \u4e2a\u5b57  213 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p>"},{"location":"Technology/ffb6d-docker/#1","title":"1. \u7b80\u4ecb","text":"<p>Docker\u662f\u4e00\u4e2a\u5f00\u6e90\u7684\u5e94\u7528\u5bb9\u5668\u5f15\u64ce\uff0c\u8ba9\u5f00\u53d1\u8005\u53ef\u4ee5\u6253\u5305\u4ed6\u4eec\u7684\u5e94\u7528\u4ee5\u53ca\u4f9d\u8d56\u5305\u5230\u4e00\u4e2a\u53ef\u79fb\u690d\u7684\u5bb9\u5668\u4e2d\uff0c\u7136\u540e\u53d1\u5e03\u5230\u4efb\u4f55\u6d41\u884c\u7684Linux\u6216Windows\u64cd\u4f5c\u7cfb\u7edf\u4e0a\u3002\u672c\u6587\u5c06\u4ee5\u914d\u7f6eFFB6D\uff08\u4e00\u4e2a3D\u76ee\u6807\u68c0\u6d4b\u6a21\u578b\uff09\u7684\u8fd0\u884c\u73af\u5883\u4e3a\u4f8b\uff0c\u4ecb\u7ecdDocker\u7684\u57fa\u672c\u4f7f\u7528\u3002</p>"},{"location":"Technology/ffb6d-docker/#2","title":"2. \u73af\u5883\u51c6\u5907","text":""},{"location":"Technology/ffb6d-docker/#21","title":"2.1 \u7cfb\u7edf\u8981\u6c42","text":"<ul> <li>Ubuntu 20.04/22.04/24.04 </li> <li>NVIDIA GPU\uff08\u652f\u6301CUDA\uff09</li> <li>\u81f3\u5c118GB\u5185\u5b58</li> <li>\u81f3\u5c1130GB\u78c1\u76d8\u7a7a\u95f4</li> </ul>"},{"location":"Technology/ffb6d-docker/#22","title":"2.2 \u57fa\u7840\u7ec4\u4ef6\u5b89\u88c5","text":"<p>\u5b89\u88c5Docker</p> Bash<pre><code># \u66f4\u65b0apt\u5305\u7d22\u5f15\nsudo apt-get update\n\n# \u5b89\u88c5\u5fc5\u8981\u7684\u7cfb\u7edf\u5de5\u5177\nsudo apt-get install -y \\\n    apt-transport-https \\\n    ca-certificates \\\n    curl \\\n    gnupg \\\n    lsb-release\n\n# \u6dfb\u52a0Docker\u7684\u5b98\u65b9GPG\u5bc6\u94a5\ncurl -fsSL https://download.docker.com/linux/ubuntu/gpg | sudo gpg --dearmor -o /usr/share/keyrings/docker-archive-keyring.gpg\n\n# \u8bbe\u7f6e\u7a33\u5b9a\u7248\u4ed3\u5e93\necho \\\n  \"deb [arch=amd64 signed-by=/usr/share/keyrings/docker-archive-keyring.gpg] https://download.docker.com/linux/ubuntu \\\n  $(lsb_release -cs) stable\" | sudo tee /etc/apt/sources.list.d/docker.list &gt; /dev/null\n\n# \u5b89\u88c5Docker Engine\nsudo apt-get update\nsudo apt-get install -y docker-ce docker-ce-cli containerd.io\n\n# \u9a8c\u8bc1\u5b89\u88c5\nsudo docker run hello-world\n</code></pre> <p>\u5b89\u88c5NVIDIA\u9a71\u52a8</p> Bash<pre><code># \u6dfb\u52a0NVIDIA\u5305\u4ed3\u5e93\nsudo add-apt-repository ppa:graphics-drivers/ppa\nsudo apt-get update\n\n# \u5b89\u88c5NVIDIA\u9a71\u52a8\nsudo apt-get install -y nvidia-driver-535  # \u6839\u636e\u9700\u8981\u9009\u62e9\u7248\u672c\n\n# \u91cd\u542f\u7cfb\u7edf\nsudo reboot\n\n# \u9a8c\u8bc1\u5b89\u88c5\nnvidia-smi\n</code></pre> <p>\u5b89\u88c5NVIDIA Container Toolkit</p> Bash<pre><code># \u8bbe\u7f6e\u7a33\u5b9a\u7248\u4ed3\u5e93\ncurl -fsSL https://nvidia.github.io/libnvidia-container/gpgkey | sudo gpg --dearmor -o /usr/share/keyrings/nvidia-container-toolkit-keyring.gpg\n\necho \"deb [signed-by=/usr/share/keyrings/nvidia-container-toolkit-keyring.gpg] https://nvidia.github.io/libnvidia-container/stable/ubuntu22.04/$(arch) /\" | sudo tee /etc/apt/sources.list.d/nvidia-container-toolkit.list\n\n# \u66f4\u65b0\u8f6f\u4ef6\u5305\u5217\u8868\nsudo apt-get update\n\n# \u5b89\u88c5nvidia-docker2\nsudo apt-get install -y nvidia-container-toolkit\n\n# \u91cd\u542fDocker\u670d\u52a1\nsudo systemctl restart docker\n\n# \u6d4b\u8bd5GPU\u652f\u6301\nsudo docker run --rm --gpus all nvidia/cuda:12.0-base nvidia-smi\n</code></pre>"},{"location":"Technology/ffb6d-docker/#23-docker","title":"2.3 Docker\u914d\u7f6e\u4f18\u5316","text":"<p>\u914d\u7f6e\u955c\u50cf\u52a0\u901f</p> Bash<pre><code>sudo tee /etc/docker/daemon.json &lt;&lt; EOF\n{\n  \"registry-mirrors\": [\n    \"https://docker.1panel.dev\",\n    \"https://docker.zhai.cm\",\n    \"https://hub.littlediary.cn\",\n    \"https://docker.nastool.de\"\n  ],\n  \"dns\": [\"8.8.8.8\", \"8.8.4.4\"],\n  \"max-concurrent-downloads\": 10,\n  \"log-driver\": \"json-file\",\n  \"log-opts\": {\n    \"max-size\": \"10m\",\n    \"max-file\": \"3\"\n  }\n}\nEOF\n\nsudo systemctl daemon-reload\nsudo systemctl restart docker\n</code></pre>"},{"location":"Technology/ffb6d-docker/#3-ffb6d","title":"3. FFB6D\u73af\u5883\u914d\u7f6e\u5b9e\u4f8b","text":""},{"location":"Technology/ffb6d-docker/#31","title":"3.1 \u9879\u76ee\u7ed3\u6784","text":"Bash<pre><code>ffb6d_docker/\n\u251c\u2500\u2500 Dockerfile\n\u251c\u2500\u2500 docker-compose.yml\n\u251c\u2500\u2500 build_and_run.sh\n\u251c\u2500\u2500 downloads/\n\u2502   \u251c\u2500\u2500 apex/\n\u2502   \u2514\u2500\u2500 normalspeed/\n\u251c\u2500\u2500 code/\n\u251c\u2500\u2500 datasets/\n\u251c\u2500\u2500 models/\n\u2514\u2500\u2500 train_log/\n</code></pre>"},{"location":"Technology/ffb6d-docker/#32-dockerfile","title":"3.2 \u521b\u5efaDockerfile","text":"Docker<pre><code># \u4f7f\u7528\u8f83\u65b0\u7684 CUDA \u955c\u50cf\nFROM nvcr.io/nvidia/cuda:11.0.3-cudnn8-devel-ubuntu18.04\n\n# \u4f7f\u7528 NVIDIA CUDA 11.3 \u57fa\u7840\u955c\u50cf\n# FROM nvcr.io/nvidia/cuda:11.3.1-cudnn8-devel-ubuntu20.04\n\n# \u907f\u514d\u4ea4\u4e92\u5f0f\u63d0\u793a\nENV DEBIAN_FRONTEND=noninteractive\nENV PYTHONPATH=/workspace/code\nENV CUDA_HOME=/usr/local/cuda\nENV PATH=$CUDA_HOME/bin:$PATH\nENV LD_LIBRARY_PATH=$CUDA_HOME/lib64:$LD_LIBRARY_PATH\n\nWORKDIR /workspace\n\n# \u5b89\u88c5\u7cfb\u7edf\u4f9d\u8d56\nRUN apt-get update &amp;&amp; apt-get install -y \\\n    python3.6 \\\n    python3.6-dev \\\n    python3-pip \\\n    git \\\n    cmake \\\n    build-essential \\\n    libopencv-dev \\\n    libglib2.0-0 \\\n    libsm6 \\\n    libxext6 \\\n    libxrender-dev \\\n    libboost-all-dev \\\n    libeigen3-dev \\\n    wget \\\n    &amp;&amp; rm -rf /var/lib/apt/lists/*\n\n# \u8bbe\u7f6e Python 3.6 \u4e3a\u9ed8\u8ba4\u7248\u672c\nRUN update-alternatives --install /usr/bin/python3 python3 /usr/bin/python3.6 1\nRUN update-alternatives --set python3 /usr/bin/python3.6\n\n# \u5347\u7ea7 pip\nRUN python3 -m pip install --upgrade pip\n\n# \u914d\u7f6epip\u955c\u50cf\u6e90\nRUN pip3 config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n\n# \u5148\u5b89\u88c5 PyTorch (\u4f7f\u7528\u8f83\u65b0\u4f46\u517c\u5bb9\u7684\u7248\u672c)\nRUN pip3 install torch==1.10.2+cu113 torchvision==0.11.3+cu113 -f https://download.pytorch.org/whl/torch_stable.html\n\n# \u590d\u5236\u9884\u4e0b\u8f7d\u7684\u6587\u4ef6\nCOPY downloads/apex /workspace/apex\nCOPY downloads/normalspeed /workspace/normalspeed\nCOPY code /workspace/code\n\n# \u5b89\u88c5 apex\n#RUN cd /workspace/apex &amp;&amp; \\\n#    pip install -v --no-cache-dir --global-option=\"--cpp_ext\" --global-option=\"--cuda_ext\" ./ || \\\n#    (echo \"Apex installation failed. Check the error messages above.\" &amp;&amp; exit 1)\n\n# \u5b89\u88c5 normalspeed\n#RUN cd /workspace/normalspeed &amp;&amp; \\\n#    python3 setup.py build_ext --inplace &amp;&amp; \\\n#    python3 setup.py install\n\nWORKDIR /workspace/code\n</code></pre> <p>\u66f4\u6539 <code>requirement.txt</code> </p> Text Only<pre><code>h5py         \nnumpy              \npyyaml==5.4.1\nenum34        \nfuture           \nscipy==1.4.1          \nopencv_contrib_python==3.4.2.16               \ntransforms3d==0.3.1     \nscikit_image==0.13.1     \nlmdb==0.94              \nsetuptools==41.0.0    \ncffi==1.11.5         \neasydict==1.7      \nplyfile==0.6      \npillow==8.2.0 \ndataclasses\nglumpy                                                      \ntqdm\ntensorboardX \npandas\nscikit-learn         \nscipy \ntermcolor\npybind11\n</code></pre>"},{"location":"Technology/ffb6d-docker/#33-docker-composeyml","title":"3.3 \u521b\u5efadocker-compose.yml","text":"YAML<pre><code>version: '3'\nservices:\n  ffb6d:\n    build: .\n    image: ffb6d:latest\n    container_name: ffb6d_container\n    runtime: nvidia\n    environment:\n      - NVIDIA_VISIBLE_DEVICES=all\n    volumes:\n      - ./datasets:/workspace/code/datasets\n      - ./train_log:/workspace/code/train_log\n      - ./models:/workspace/code/models\n    shm_size: '8gb'\n    tty: true\n    stdin_open: true\n</code></pre>"},{"location":"Technology/ffb6d-docker/#34","title":"3.4 \u6784\u5efa\u548c\u8fd0\u884c\u811a\u672c","text":"<p>\u521b\u5efa<code>build_and_run.sh</code>\uff1a</p> Bash<pre><code>#!/bin/bash\n\n# \u521b\u5efa\u5fc5\u8981\u76ee\u5f55\nmkdir -p downloads datasets models train_log\n\n# \u4e0b\u8f7d\u4f9d\u8d56\ncd downloads\nif [ ! -d \"apex\" ]; then\n  git clone https://github.com/NVIDIA/apex.git\nfi\nif [ ! -d \"normalspeed\" ]; then\n  git clone https://github.com/hfutcgncas/normalspeed.git\nfi\ncd ..\n\n# \u514b\u9686FFB6D\u4ee3\u7801\nif [ ! -d \"code\" ]; then\n  git clone https://github.com/ethnhe/FFB6D.git code\nfi\n\n# \u6784\u5efa\u955c\u50cf\ndocker-compose build\n\n# \u8fd0\u884c\u5bb9\u5668\ndocker-compose up -d\ndocker exec -it ffb6d_container bash\n</code></pre>"},{"location":"Technology/ffb6d-docker/#35","title":"3.5 \u542f\u52a8\u548c\u9a8c\u8bc1","text":"Bash<pre><code># \u6dfb\u52a0\u6267\u884c\u6743\u9650\nchmod +x build_and_run.sh\n\n# \u8fd0\u884c\n./build_and_run.sh\n\n# \u5728\u5bb9\u5668\u5185\u9a8c\u8bc1\npython3 -c \"import torch; print('CUDA available:', torch.cuda.is_available())\"\npython3 -c \"from apex import amp; print('APEX installed')\"\npython3 -c \"import normalspeed; print('normalspeed installed')\"\n</code></pre>"},{"location":"Technology/ffb6d-docker/#36-apex","title":"3.6 \u7f16\u8bd1 apex","text":"Text Only<pre><code>git clone https://github.com/NVIDIA/apex\ncd apex\nexport TORCH_CUDA_ARCH_LIST=\"6.0;6.1;6.2;7.0;7.5\"\npython setup.py install -v\n</code></pre>"},{"location":"Technology/ffb6d-docker/#37-normalspeed","title":"3.7 \u7f16\u8bd1 normalspeed","text":"Text Only<pre><code># 1. \u5378\u8f7d\u5f53\u524dcv2\npip uninstall opencv-python opencv-python-headless -y\n\n# 2. \u5b89\u88c5\u7279\u5b9a\u7248\u672c\u7684OpenCV\uff0c\u9009\u62e9\u4e0ePython 3.6\u517c\u5bb9\u7684\u7248\u672c\npip install opencv-python==4.5.3.56\n\n# 3. \u9a8c\u8bc1\u5b89\u88c5\npython3 -c \"import cv2; print(cv2.__version__)\"\n</code></pre> Text Only<pre><code># \u8fdb\u5165normalSpeed\u76ee\u5f55\ncd /workspace/code/normalspeed/normalSpeed\n\n# \u5b89\u88c5\u4f9d\u8d56\napt-get update\napt-get install python3-pybind11\npip3 install Cython==0.29.15\n\n# \u6e05\u7406\u4e4b\u524d\u7684\u6784\u5efa\nrm -rf build/\nrm -rf dist/\nrm -rf *.egg-info/\n\n# \u91cd\u65b0\u5b89\u88c5\npython3 setup.py install\n\n# \u9a8c\u8bc1\u5b89\u88c5\npython3 -c \"import normalSpeed\"\n\n# \u8fd4\u56deffb6d\u76ee\u5f55\ncd /workspace/code/ffb6d/\n</code></pre> Text Only<pre><code>python3 setup.py install --user\n</code></pre>"},{"location":"Technology/ffb6d-docker/#38","title":"3.8 \u8bad\u7ec3","text":"<p>\u628a LineMOD \u590d\u5236\u5230\u5bf9\u5e94\u7684\u8def\u5f84\u4e0b\uff0c\u7136\u540e\u6309\u5b98\u7f51\u6765\u5c31\u597d\u4e86</p>"},{"location":"Technology/ffb6d-docker/#4","title":"4. \u5e38\u89c1\u95ee\u9898","text":""},{"location":"Technology/ffb6d-docker/#41","title":"4.1 \u7f51\u7edc\u95ee\u9898","text":"<p>\u5982\u679c\u9047\u5230\u4e0b\u8f7d\u6162\u6216\u5931\u8d25\uff1a</p> Bash<pre><code># \u4e34\u65f6\u4f7f\u7528\u4ee3\u7406\nexport http_proxy=\"http://proxy:port\"\nexport https_proxy=\"http://proxy:port\"\n\n# \u6216\u4fee\u6539pip\u6e90\npip config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n</code></pre> <p>\u6ce8\u610f\u7528\u4e86\u4ee3\u7406\u7684\u8bdd\uff0cdocker hub \u955c\u50cf\u5c31\u4f1a\u88ab\u8986\u76d6\u6389\uff0c\u5bfc\u81f4\u901f\u5ea6\u5f88\u6162\u3002\u6240\u4ee5\u5230\u65f6\u5019\u4e00\u5b9a\u8981\u53d6\u6d88\u4ee3\u7406 / \u5220\u9664\u4ee3\u7406\u6587\u4ef6</p> <p>docker hub \u955c\u50cf\u8bbe\u7f6e\u4e0a\u9762\u5199\u4e86\uff0c\u5b98\u7f51\u662f\u8fd9\u4e2a GitHub - dongyubin/DockerHub: 2024\u5e7411\u6708\u66f4\u65b0\uff0c\u76ee\u524d\u56fd\u5185\u53ef\u7528Docker\u955c\u50cf\u6e90\u6c47\u603b\uff0cDockerHub\u56fd\u5185\u955c\u50cf\u52a0\u901f\u5217\u8868\uff0c\ud83d\ude80DockerHub\u955c\u50cf\u52a0\u901f\u5668</p>"},{"location":"Technology/ffb6d-docker/#42-cuda","title":"4.2 CUDA\u517c\u5bb9\u6027","text":"<p>\u786e\u4fddNVIDIA\u9a71\u52a8\u7248\u672c\u652f\u6301\u6240\u9700\u7684CUDA\u7248\u672c\uff1a</p> Bash<pre><code># \u68c0\u67e5\u652f\u6301\u7684\u6700\u9ad8CUDA\u7248\u672c\nnvidia-smi\n</code></pre>"},{"location":"Technology/ffb6d-docker/#43","title":"4.3 \u5185\u5b58\u4e0d\u8db3","text":"<p>\u8c03\u6574Docker\u5185\u5b58\u9650\u5236\uff1a</p> YAML<pre><code># \u5728docker-compose.yml\u4e2d\u6dfb\u52a0\nservices:\n  ffb6d:\n    deploy:\n      resources:\n        limits:\n          memory: 16G\n</code></pre>"},{"location":"Technology/ffb6d-docker/#5","title":"5. \u603b\u7ed3","text":"<p>\u672c\u6587\u4ecb\u7ecd\u4e86\u4f7f\u7528Docker\u914d\u7f6e\u6df1\u5ea6\u5b66\u4e60\u73af\u5883\u7684\u5b8c\u6574\u6d41\u7a0b\uff0c\u4ee5FFB6D\u4e3a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5904\u7406\u590d\u6742\u4f9d\u8d56\u5173\u7cfb\u3002\u901a\u8fc7\u5bb9\u5668\u5316\u6280\u672f\uff0c\u6211\u4eec\u53ef\u4ee5\uff1a</p> <ol> <li>\u786e\u4fdd\u73af\u5883\u4e00\u81f4\u6027</li> <li>\u7b80\u5316\u90e8\u7f72\u6d41\u7a0b</li> <li>\u63d0\u9ad8\u5f00\u53d1\u6548\u7387</li> <li>\u65b9\u4fbf\u56e2\u961f\u534f\u4f5c</li> </ol> <p>\u5e0c\u671b\u672c\u6559\u7a0b\u80fd\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u7406\u89e3\u548c\u4f7f\u7528Docker\u3002</p>"},{"location":"Technology/ffb6d-docker/#_1","title":"\u53c2\u8003\u8d44\u6599","text":"<ol> <li>Docker\u5b98\u65b9\u6587\u6863</li> <li>NVIDIA Docker\u6587\u6863</li> <li>FFB6D\u9879\u76ee</li> <li>\u3010\u8bba\u6587\u7b14\u8bb0\u3011FFB6D | \u9a6c\u6d69\u98de\u4e28\u535a\u5ba2</li> </ol>"},{"location":"Technology/ffb6d/","title":"FFB6D\u73af\u5883\u914d\u7f6e\u6307\u5357\uff1a\u539f\u751f\u7cfb\u7edf\u5b89\u88c5","text":"<p> \u7ea6 293 \u4e2a\u5b57  96 \u884c\u4ee3\u7801  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p>"},{"location":"Technology/ffb6d/#1","title":"1. \u7cfb\u7edf\u8981\u6c42","text":"<ul> <li>Ubuntu 20.04/22.04/24.04</li> <li>NVIDIA GPU\uff08\u652f\u6301CUDA\uff09</li> <li>\u81f3\u5c118GB\u5185\u5b58</li> <li>\u81f3\u5c1130GB\u78c1\u76d8\u7a7a\u95f4</li> </ul>"},{"location":"Technology/ffb6d/#2","title":"2. \u57fa\u7840\u73af\u5883\u914d\u7f6e","text":""},{"location":"Technology/ffb6d/#21-nvidia","title":"2.1 \u5b89\u88c5NVIDIA\u9a71\u52a8","text":"Bash<pre><code># \u6dfb\u52a0NVIDIA\u5305\u4ed3\u5e93\nsudo add-apt-repository ppa:graphics-drivers/ppa\nsudo apt-get update\n\n# \u5b89\u88c5NVIDIA\u9a71\u52a8\nsudo apt-get install -y nvidia-driver-535  # \u6839\u636e\u9700\u8981\u9009\u62e9\u7248\u672c\n\n# \u91cd\u542f\u7cfb\u7edf\nsudo reboot\n\n# \u9a8c\u8bc1\u5b89\u88c5\nnvidia-smi\n</code></pre>"},{"location":"Technology/ffb6d/#22-cudacudnn","title":"2.2 \u5b89\u88c5CUDA\u548ccuDNN","text":"Bash<pre><code># \u4e0b\u8f7d\u5e76\u5b89\u88c5CUDA 11.0\nwget https://developer.download.nvidia.com/compute/cuda/11.0.3/local_installers/cuda_11.0.3_450.51.06_linux.run\nsudo sh cuda_11.0.3_450.51.06_linux.run\n\n# \u914d\u7f6e\u73af\u5883\u53d8\u91cf\necho 'export PATH=/usr/local/cuda-11.0/bin:$PATH' &gt;&gt; ~/.bashrc\necho 'export LD_LIBRARY_PATH=/usr/local/cuda-11.0/lib64:$LD_LIBRARY_PATH' &gt;&gt; ~/.bashrc\nsource ~/.bashrc\n\n# \u4e0b\u8f7d\u5e76\u5b89\u88c5cuDNN 8.0\n# \u6ce8\uff1a\u9700\u8981\u4eceNVIDIA\u5f00\u53d1\u8005\u7f51\u7ad9\u4e0b\u8f7dcuDNN v8.0\uff0c\u89e3\u538b\u540e\uff1a\nsudo cp cuda/include/cudnn*.h /usr/local/cuda/include\nsudo cp cuda/lib64/libcudnn* /usr/local/cuda/lib64\nsudo chmod a+r /usr/local/cuda/include/cudnn*.h /usr/local/cuda/lib64/libcudnn*\n</code></pre>"},{"location":"Technology/ffb6d/#23","title":"2.3 \u5b89\u88c5\u7cfb\u7edf\u4f9d\u8d56","text":"Bash<pre><code>sudo apt-get update\nsudo apt-get install -y \\\n    python3.6 \\\n    python3.6-dev \\\n    python3-pip \\\n    git \\\n    cmake \\\n    build-essential \\\n    libopencv-dev \\\n    libglib2.0-0 \\\n    libsm6 \\\n    libxext6 \\\n    libxrender-dev \\\n    libboost-all-dev \\\n    libeigen3-dev\n</code></pre>"},{"location":"Technology/ffb6d/#24-python","title":"2.4 \u914d\u7f6ePython\u73af\u5883","text":"Bash<pre><code># \u8bbe\u7f6ePython 3.6\u4e3a\u9ed8\u8ba4\u7248\u672c\nsudo update-alternatives --install /usr/bin/python3 python3 /usr/bin/python3.6 1\nsudo update-alternatives --set python3 /usr/bin/python3.6\n\n# \u914d\u7f6epip\u955c\u50cf\u6e90\npip3 config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n\n# \u5347\u7ea7pip\npython3 -m pip install --upgrade pip\n</code></pre>"},{"location":"Technology/ffb6d/#3-pytorch","title":"3. \u5b89\u88c5PyTorch\u548c\u4f9d\u8d56\u5305","text":""},{"location":"Technology/ffb6d/#31-pytorch","title":"3.1 \u5b89\u88c5PyTorch","text":"Bash<pre><code>pip3 install torch==1.10.2+cu113 torchvision==0.11.3+cu113 -f https://download.pytorch.org/whl/torch_stable.html\n</code></pre>"},{"location":"Technology/ffb6d/#32","title":"3.2 \u5b89\u88c5\u9879\u76ee\u4f9d\u8d56","text":"<p>\u521b\u5efarequirements.txt\u5e76\u5b89\u88c5\u4f9d\u8d56\uff1a</p> Bash<pre><code>pip3 install -r requirements.txt\n</code></pre> <p>requirements.txt\u5185\u5bb9\uff1a Text Only<pre><code>h5py         \nnumpy              \npyyaml==5.4.1\nenum34        \nfuture           \nscipy==1.4.1          \nopencv_contrib_python==3.4.2.16               \ntransforms3d==0.3.1     \nscikit_image==0.13.1     \nlmdb==0.94              \nsetuptools==41.0.0    \ncffi==1.11.5         \neasydict==1.7      \nplyfile==0.6      \npillow==8.2.0 \ndataclasses\nglumpy                                                      \ntqdm\ntensorboardX \npandas\nscikit-learn         \nscipy \ntermcolor\npybind11\n</code></pre></p>"},{"location":"Technology/ffb6d/#4","title":"4. \u7f16\u8bd1\u548c\u5b89\u88c5\u7279\u6b8a\u7ec4\u4ef6","text":""},{"location":"Technology/ffb6d/#41-apex","title":"4.1 \u7f16\u8bd1apex","text":"Bash<pre><code>git clone https://github.com/NVIDIA/apex\ncd apex\nexport TORCH_CUDA_ARCH_LIST=\"6.0;6.1;6.2;7.0;7.5\"\npython setup.py install -v\ncd ..\n</code></pre>"},{"location":"Technology/ffb6d/#42-normalspeed","title":"4.2 \u5b89\u88c5\u548c\u7f16\u8bd1normalspeed","text":"Bash<pre><code># 1. \u51c6\u5907OpenCV\u73af\u5883\npip uninstall opencv-python opencv-python-headless -y\npip install opencv-python==4.5.3.56\n\n# 2. \u514b\u9686\u5e76\u5b89\u88c5normalspeed\ngit clone https://github.com/hfutcgncas/normalspeed.git\ncd normalspeed/normalSpeed\n\n# \u5b89\u88c5\u7f16\u8bd1\u4f9d\u8d56\nsudo apt-get install python3-pybind11\npip3 install Cython==0.29.15\n\n# \u6e05\u7406\u5e76\u91cd\u65b0\u5b89\u88c5\nrm -rf build/ dist/ *.egg-info/\npython3 setup.py install --user\ncd ../..\n</code></pre>"},{"location":"Technology/ffb6d/#5-ffb6d","title":"5. \u514b\u9686\u548c\u914d\u7f6eFFB6D","text":"Bash<pre><code># \u514b\u9686\u4ee3\u7801\ngit clone https://github.com/ethnhe/FFB6D.git\ncd FFB6D\n\n# \u521b\u5efa\u5fc5\u8981\u7684\u76ee\u5f55\nmkdir -p datasets models train_log\n\n# \u914d\u7f6e\u73af\u5883\u53d8\u91cf\nexport PYTHONPATH=$PYTHONPATH:$(pwd)\n</code></pre>"},{"location":"Technology/ffb6d/#6","title":"6. \u9a8c\u8bc1\u5b89\u88c5","text":"Bash<pre><code># \u9a8c\u8bc1CUDA\u652f\u6301\npython3 -c \"import torch; print('CUDA available:', torch.cuda.is_available())\"\n\n# \u9a8c\u8bc1apex\u5b89\u88c5\npython3 -c \"from apex import amp; print('APEX installed')\"\n\n# \u9a8c\u8bc1normalspeed\u5b89\u88c5\npython3 -c \"import normalSpeed; print('normalspeed installed')\"\n</code></pre>"},{"location":"Technology/ffb6d/#7","title":"7. \u5e38\u89c1\u95ee\u9898","text":""},{"location":"Technology/ffb6d/#71","title":"7.1 \u7f51\u7edc\u95ee\u9898","text":"Bash<pre><code># \u4f7f\u7528\u4ee3\u7406\uff08\u5982\u9700\u8981\uff09\nexport http_proxy=\"http://proxy:port\"\nexport https_proxy=\"http://proxy:port\"\n\n# \u6216\u4f7f\u7528\u56fd\u5185\u955c\u50cf\u6e90\npip config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n</code></pre>"},{"location":"Technology/ffb6d/#72","title":"7.2 \u7248\u672c\u517c\u5bb9\u6027\u95ee\u9898","text":"<ul> <li>\u786e\u4fddNVIDIA\u9a71\u52a8\u7248\u672c\u652f\u6301CUDA 11.0</li> <li>\u786e\u4fddPython\u5305\u7248\u672c\u76f8\u4e92\u517c\u5bb9</li> <li>\u68c0\u67e5CUDA\u7248\u672c\u4e0ePyTorch\u7248\u672c\u7684\u5339\u914d</li> </ul>"},{"location":"Technology/ffb6d/#73","title":"7.3 \u7f16\u8bd1\u9519\u8bef","text":"<ul> <li>\u786e\u4fdd\u5df2\u5b89\u88c5\u6240\u6709\u5fc5\u8981\u7684\u7f16\u8bd1\u5de5\u5177</li> <li>\u68c0\u67e5CUDA\u8def\u5f84\u914d\u7f6e\u662f\u5426\u6b63\u786e</li> <li>\u786e\u8ba4\u7cfb\u7edf\u5e93\u7248\u672c\u662f\u5426\u6ee1\u8db3\u8981\u6c42</li> </ul>"},{"location":"Technology/ffb6d/#8","title":"8. \u8bad\u7ec3","text":"<p>\u6309\u7167\u5b98\u65b9\u6587\u6863\u914d\u7f6eLineMOD\u6570\u636e\u96c6\u5e76\u5f00\u59cb\u8bad\u7ec3\u3002</p>"},{"location":"Technology/ffb6d/#_1","title":"\u53c2\u8003\u8d44\u6599","text":"<ol> <li>FFB6D\u9879\u76ee</li> <li>CUDA\u5b89\u88c5\u6307\u5357</li> <li>PyTorch\u5b89\u88c5\u6307\u5357</li> <li>\u3010\u8bba\u6587\u7b14\u8bb0\u3011FFB6D | \u9a6c\u6d69\u98de\u4e28\u535a\u5ba2</li> </ol>"},{"location":"Technology/mkdocs%20material/","title":"mkdocs material \u8d85\u5168\u914d\u7f6e","text":"<p> \u7ea6 5956 \u4e2a\u5b57  9393 \u884c\u4ee3\u7801  7 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 137 \u5206\u949f</p> <p>\u4ecd\u7136\u5728\u4fee\u6539 \u5982\u679c\u9700\u8981\u4efb\u4f55\u7684\u6587\u4ef6\uff0c\u53ef\u4ee5\u76f4\u63a5\u8bbf\u95ee\u672c\u535a\u5ba2\u7684 GitHub \u9875\u9762</p>"},{"location":"Technology/mkdocs%20material/#1","title":"1 \u5165\u95e8\u57fa\u7840","text":""},{"location":"Technology/mkdocs%20material/#11-mkdocs","title":"1.1 \u4ec0\u4e48\u662f MkDocs\uff1f","text":"<p>MkDocs \u662f\u4e00\u4e2a\u5feb\u901f\u3001\u7b80\u5355\u3001\u534e\u4e3d\u7684\u9759\u6001\u7ad9\u70b9\u751f\u6210\u5668\uff0c\u4e13\u95e8\u7528\u4e8e\u6784\u5efa\u9879\u76ee\u6587\u6863\u3002\u6587\u6863\u6e90\u6587\u4ef6\u4f7f\u7528 Markdown \u7f16\u5199\uff0c\u914d\u7f6e\u6587\u4ef6\u4f7f\u7528 YAML \u683c\u5f0f\u3002</p>"},{"location":"Technology/mkdocs%20material/#111-mkdocs","title":"1.1.1 MkDocs \u7684\u4f18\u52bf","text":"<ol> <li> <p>\u7b80\u5355\u6613\u7528    - \u4f7f\u7528 Markdown \u7f16\u5199\u6587\u6863    - \u914d\u7f6e\u6587\u4ef6\u7b80\u5355\u76f4\u89c2    - \u4e00\u952e\u5f0f\u6784\u5efa\u548c\u90e8\u7f72</p> </li> <li> <p>\u529f\u80fd\u5f3a\u5927    - \u5185\u7f6e\u5f00\u53d1\u670d\u52a1\u5668\uff0c\u652f\u6301\u5b9e\u65f6\u9884\u89c8    - \u591a\u79cd\u4e3b\u9898\u53ef\u9009    - \u652f\u6301\u81ea\u5b9a\u4e49\u4e3b\u9898    - \u81ea\u52a8\u751f\u6210\u5bfc\u822a    - \u5168\u6587\u641c\u7d22\u529f\u80fd</p> </li> <li> <p>\u90e8\u7f72\u65b9\u4fbf    - \u751f\u6210\u7eaf\u9759\u6001\u9875\u9762    - \u4e00\u884c\u547d\u4ee4\u90e8\u7f72\u5230 GitHub Pages    - \u652f\u6301\u81ea\u5b9a\u4e49\u57df\u540d    - \u517c\u5bb9\u6240\u6709\u9759\u6001\u7f51\u7ad9\u6258\u7ba1\u5e73\u53f0</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#112-mkdocs-vs","title":"1.1.2 MkDocs vs \u5176\u4ed6\u6587\u6863\u5de5\u5177","text":"\u5de5\u5177 \u4f18\u52bf \u52a3\u52bf MkDocs - \u7b80\u5355\u6613\u7528- \u4e13\u6ce8\u6587\u6863- \u90e8\u7f72\u65b9\u4fbf- \u4e3b\u9898\u4e30\u5bcc - \u529f\u80fd\u76f8\u5bf9\u7b80\u5355- \u63d2\u4ef6\u751f\u6001\u8f83\u5c0f GitBook - \u754c\u9762\u4f18\u96c5- \u751f\u6001\u5b8c\u6574- \u591a\u4eba\u534f\u4f5c\u597d - \u6784\u5efa\u901f\u5ea6\u6162- \u5b9a\u5236\u6027\u5dee- \u514d\u8d39\u7248\u9650\u5236\u591a Docusaurus - React \u6280\u672f\u6808- \u529f\u80fd\u5f3a\u5927- \u6269\u5c55\u6027\u597d - \u5b66\u4e60\u66f2\u7ebf\u9661- \u914d\u7f6e\u590d\u6742- \u6784\u5efa\u8f83\u6162 VuePress - Vue \u6280\u672f\u6808- \u5b9a\u5236\u6027\u5f3a- \u63d2\u4ef6\u4e30\u5bcc - \u4e3b\u9898\u8f83\u5c11- \u914d\u7f6e\u7e41\u7410- \u5b66\u4e60\u6210\u672c\u9ad8"},{"location":"Technology/mkdocs%20material/#113-mkdocs","title":"1.1.3 MkDocs \u5de5\u4f5c\u539f\u7406","text":"<p>MkDocs \u7684\u5de5\u4f5c\u6d41\u7a0b\u5982\u4e0b\uff1a</p> <ol> <li> <p>\u6587\u6863\u7f16\u5199    - \u4f7f\u7528 Markdown \u683c\u5f0f\u7f16\u5199\u6587\u6863    - \u6587\u6863\u5b58\u653e\u5728 <code>docs</code> \u76ee\u5f55\u4e0b    - \u652f\u6301\u591a\u7ea7\u76ee\u5f55\u7ed3\u6784</p> </li> <li> <p>\u914d\u7f6e\u89e3\u6790    - \u8bfb\u53d6 <code>mkdocs.yml</code> \u914d\u7f6e\u6587\u4ef6    - \u89e3\u6790\u4e3b\u9898\u8bbe\u7f6e\u3001\u63d2\u4ef6\u914d\u7f6e\u7b49    - \u751f\u6210\u5bfc\u822a\u7ed3\u6784</p> </li> <li> <p>\u6784\u5efa\u8fc7\u7a0b</p> </li> </ol> Text Only<pre><code>Markdown \u6587\u4ef6 -&gt; \u89e3\u6790\u5668 -&gt; HTML \u6587\u4ef6\n              -&gt; \u4e3b\u9898\u6e32\u67d3\n              -&gt; \u63d2\u4ef6\u5904\u7406\n              -&gt; \u9759\u6001\u8d44\u6e90\u5904\u7406\n</code></pre> <ol> <li>\u8f93\u51fa\u90e8\u7f72    - \u751f\u6210\u7eaf\u9759\u6001 HTML \u6587\u4ef6    - \u4fdd\u7559\u539f\u59cb\u76ee\u5f55\u7ed3\u6784    - \u81ea\u52a8\u5904\u7406\u5185\u90e8\u94fe\u63a5    - \u590d\u5236\u9759\u6001\u8d44\u6e90</li> </ol>"},{"location":"Technology/mkdocs%20material/#12-material","title":"1.2 \u4e3a\u4ec0\u4e48\u9009\u62e9 Material \u4e3b\u9898","text":"<p>Material for MkDocs \u662f\u4e00\u4e2a\u57fa\u4e8e Google Material Design \u8bbe\u8ba1\u8bed\u8a00\u7684\u4e3b\u9898\uff0c\u5b83\u4e0d\u4ec5\u7f8e\u89c2\uff0c\u800c\u4e14\u529f\u80fd\u5f3a\u5927\u3002</p>"},{"location":"Technology/mkdocs%20material/#121-material","title":"1.2.1 Material \u4e3b\u9898\u7279\u6027","text":"<ol> <li> <p>\u73b0\u4ee3\u5316\u8bbe\u8ba1    - \u9075\u5faa Material Design \u89c4\u8303    - \u54cd\u5e94\u5f0f\u5e03\u5c40    - \u652f\u6301\u6df1\u8272\u6a21\u5f0f    - \u81ea\u52a8\u9002\u914d\u79fb\u52a8\u8bbe\u5907</p> </li> <li> <p>\u5f3a\u5927\u529f\u80fd    - \u667a\u80fd\u641c\u7d22    - \u4ee3\u7801\u9ad8\u4eae    - \u6807\u7b7e\u9875\u652f\u6301    - \u81ea\u52a8\u76ee\u5f55\u751f\u6210    - \u591a\u8bed\u8a00\u652f\u6301    - \u7248\u672c\u63a7\u5236\u96c6\u6210</p> </li> <li> <p>\u51fa\u8272\u7684\u7528\u6237\u4f53\u9a8c    - \u5feb\u901f\u52a0\u8f7d    - \u5e73\u6ed1\u52a8\u753b    - \u5b9e\u65f6\u641c\u7d22    - \u4ee3\u7801\u590d\u5236\u6309\u94ae    - \u8fd4\u56de\u9876\u90e8\u6309\u94ae</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#122","title":"1.2.2 \u4e0e\u5176\u4ed6\u4e3b\u9898\u5bf9\u6bd4","text":"\u7279\u6027 Material ReadTheDocs mkdocs \u5176\u4ed6\u4e3b\u9898 \u8bbe\u8ba1\u98ce\u683c \u73b0\u4ee3\u7b80\u7ea6 \u4f20\u7edf\u6587\u6863 \u7b80\u5355\u57fa\u7840 \u98ce\u683c\u591a\u6837 \u54cd\u5e94\u5f0f \u2705 \u2705 \u274c \u90e8\u5206\u652f\u6301 \u6df1\u8272\u6a21\u5f0f \u2705 \u274c \u274c \u90e8\u5206\u652f\u6301 \u641c\u7d22\u529f\u80fd \u2705 \u2705 \u274c \u90e8\u5206\u652f\u6301 \u5b9a\u5236\u6027 \u5f3a \u4e2d \u5f31 \u4e0d\u4e00\u81f4 \u63d2\u4ef6\u652f\u6301 \u4e30\u5bcc \u4e00\u822c \u57fa\u7840 \u4e0d\u4e00\u81f4"},{"location":"Technology/mkdocs%20material/#123-material","title":"1.2.3 Material \u4e3b\u9898\u7684\u6280\u672f\u67b6\u6784","text":"Text Only<pre><code>Material Theme\n\u251c\u2500\u2500 \u6838\u5fc3\u7ec4\u4ef6\n\u2502   \u251c\u2500\u2500 \u5bfc\u822a\u680f\n\u2502   \u251c\u2500\u2500 \u4fa7\u8fb9\u680f\n\u2502   \u251c\u2500\u2500 \u641c\u7d22\u7ec4\u4ef6\n\u2502   \u2514\u2500\u2500 \u5185\u5bb9\u6e32\u67d3\u5668\n\u251c\u2500\u2500 \u6269\u5c55\u529f\u80fd\n\u2502   \u251c\u2500\u2500 \u4ee3\u7801\u9ad8\u4eae\n\u2502   \u251c\u2500\u2500 \u6807\u7b7e\u7cfb\u7edf\n\u2502   \u251c\u2500\u2500 \u76ee\u5f55\u751f\u6210\n\u2502   \u2514\u2500\u2500 \u4e3b\u9898\u5207\u6362\n\u2514\u2500\u2500 \u63d2\u4ef6\u7cfb\u7edf\n    \u251c\u2500\u2500 \u5185\u7f6e\u63d2\u4ef6\n    \u2514\u2500\u2500 \u7b2c\u4e09\u65b9\u63d2\u4ef6\u96c6\u6210\n</code></pre>"},{"location":"Technology/mkdocs%20material/#13","title":"1.3 \u73af\u5883\u8981\u6c42","text":""},{"location":"Technology/mkdocs%20material/#131-python","title":"1.3.1 Python \u73af\u5883","text":""},{"location":"Technology/mkdocs%20material/#1311-python","title":"1.3.1.1 Python \u7248\u672c\u9009\u62e9","text":"<p>MkDocs \u9700\u8981 Python 3.6 \u6216\u66f4\u9ad8\u7248\u672c\uff0c\u63a8\u8350\u4f7f\u7528 Python 3.8+\uff1a</p> Bash<pre><code># \u68c0\u67e5 Python \u7248\u672c\npython --version\n\n# \u63a8\u8350\u7248\u672c\nPython 3.8.x\nPython 3.9.x\nPython 3.10.x\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1312-pip","title":"1.3.1.2 pip \u914d\u7f6e\u8bf4\u660e","text":"<p>pip \u662f Python \u7684\u5305\u7ba1\u7406\u5de5\u5177\uff0c\u9700\u8981\u786e\u4fdd\u5176\u6b63\u786e\u5b89\u88c5\uff1a</p> Bash<pre><code># \u68c0\u67e5 pip \u7248\u672c\npip --version\n\n# \u5347\u7ea7 pip\npython -m pip install --upgrade pip\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1313","title":"1.3.1.3 \u865a\u62df\u73af\u5883\u7ba1\u7406","text":"<p>\u63a8\u8350\u4f7f\u7528\u865a\u62df\u73af\u5883\u6765\u7ba1\u7406\u9879\u76ee\u4f9d\u8d56\uff1a</p> Bash<pre><code># \u521b\u5efa\u865a\u62df\u73af\u5883\npython -m venv venv\n\n# \u6fc0\u6d3b\u865a\u62df\u73af\u5883\n# Windows\nvenv\\Scripts\\activate\n# Linux/Mac\nsource venv/bin/activate\n\n# \u9000\u51fa\u865a\u62df\u73af\u5883\ndeactivate\n</code></pre>"},{"location":"Technology/mkdocs%20material/#132-pip","title":"1.3.2 pip \u5305\u7ba1\u7406","text":""},{"location":"Technology/mkdocs%20material/#1321-pip","title":"1.3.2.1 pip \u6e90\u914d\u7f6e","text":"<p>\u4e3a\u52a0\u5feb\u4e0b\u8f7d\u901f\u5ea6\uff0c\u5efa\u8bae\u4f7f\u7528\u56fd\u5185\u955c\u50cf\u6e90\uff1a</p> Bash<pre><code># \u4e34\u65f6\u4f7f\u7528\npip install -i https://pypi.tuna.tsinghua.edu.cn/simple mkdocs\n\n# \u6c38\u4e45\u914d\u7f6e\npip config set global.index-url https://pypi.tuna.tsinghua.edu.cn/simple\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1322","title":"1.3.2.2 \u4f9d\u8d56\u7ba1\u7406","text":"<p>\u5b89\u88c5\u5fc5\u8981\u7684\u5305\uff1a</p> Bash<pre><code>pip install mkdocs-material\npip install mkdocs-glightbox\npip install mkdocs-git-revision-date-localized-plugin\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1323-requirements-txt","title":"1.3.2.3 requirements. txt \u4f7f\u7528","text":"<p>\u7ef4\u62a4\u9879\u76ee\u4f9d\u8d56\uff1a</p> Bash<pre><code># \u751f\u6210\u4f9d\u8d56\u6587\u4ef6\npip freeze &gt; requirements.txt\n\n# \u5b89\u88c5\u4f9d\u8d56\npip install -r requirements.txt\n</code></pre>"},{"location":"Technology/mkdocs%20material/#133-git","title":"1.3.3 Git \u73af\u5883","text":""},{"location":"Technology/mkdocs%20material/#1331-git","title":"1.3.3.1 Git \u57fa\u7840\u914d\u7f6e","text":"Bash<pre><code># \u914d\u7f6e\u7528\u6237\u4fe1\u606f\ngit config --global user.name \"Your Name\"\ngit config --global user.email \"your.email@example.com\"\n\n# \u914d\u7f6e\u9ed8\u8ba4\u5206\u652f\ngit config --global init.defaultBranch main\n</code></pre>"},{"location":"Technology/mkdocs%20material/#134-ssh","title":"1.3.4 SSH \u5bc6\u94a5\u914d\u7f6e","text":"Bash<pre><code># \u751f\u6210 SSH \u5bc6\u94a5\nssh-keygen -t rsa -b 4096 -C \"your.email@example.com\"\n\n# \u67e5\u770b\u516c\u94a5\ncat ~/.ssh/id_rsa.pub\n</code></pre> <p>\u5c06\u516c\u94a5\u6dfb\u52a0\u5230 GitHub \u8d26\u6237\u7684 SSH keys \u4e2d\u3002</p>"},{"location":"Technology/mkdocs%20material/#135-gitignore","title":"1.3.5 .gitignore \u914d\u7f6e","text":"<p>\u521b\u5efa <code>.gitignore</code> \u6587\u4ef6\uff0c\u6dfb\u52a0\u4ee5\u4e0b\u5185\u5bb9\uff1a</p> Text Only<pre><code># Python\n__pycache__/\n*.py[cod]\n*$py.class\nvenv/\n\n# MkDocs\nsite/\n\n# IDE\n.idea/\n.vscode/\n*.swp\n*.swo\n\n# OS\n.DS_Store\nThumbs.db\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2","title":"2 \u73af\u5883\u642d\u5efa","text":""},{"location":"Technology/mkdocs%20material/#21-windows","title":"2.1 Windows \u7cfb\u7edf\u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#211-python","title":"2.1.1 Python \u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#2111","title":"2.1.1.1 \u4e0b\u8f7d\u5b89\u88c5\u5305","text":"<ol> <li>\u8bbf\u95ee Python \u5b98\u7f51 \u4e0b\u8f7d\u6700\u65b0\u7248\u672c</li> <li>\u9009\u62e9\u9002\u5408\u4f60\u7684 Windows \u7248\u672c\uff0832 \u4f4d/64 \u4f4d\uff09\u7684\u5b89\u88c5\u5305</li> <li>\u4e0b\u8f7d\u5b8c\u6210\u540e\u53cc\u51fb\u5b89\u88c5\u5305\u5f00\u59cb\u5b89\u88c5</li> </ol>"},{"location":"Technology/mkdocs%20material/#2112","title":"2.1.1.2 \u73af\u5883\u53d8\u91cf\u914d\u7f6e","text":"<ol> <li>\u5b89\u88c5\u65f6\u52fe\u9009 \"Add Python to PATH\"</li> <li>\u5982\u679c\u5fd8\u8bb0\u52fe\u9009\uff0c\u53ef\u4ee5\u624b\u52a8\u6dfb\u52a0\uff1a</li> </ol> Text Only<pre><code># \u6dfb\u52a0\u5230\u7cfb\u7edf\u73af\u5883\u53d8\u91cf Path\nC:\\Users\\YourUser\\AppData\\Local\\Programs\\Python\\Python3x\\\nC:\\Users\\YourUser\\AppData\\Local\\Programs\\Python\\Python3x\\Scripts\\\n</code></pre> <ol> <li>\u68c0\u67e5\u73af\u5883\u53d8\u91cf\uff1a</li> </ol> Bash<pre><code>echo %PATH%\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2113","title":"2.1.1.3 \u9a8c\u8bc1\u5b89\u88c5","text":"<p>\u5728\u547d\u4ee4\u63d0\u793a\u7b26\u4e2d\u6267\u884c\uff1a</p> Bash<pre><code># \u68c0\u67e5 Python \u7248\u672c\npython --version\n\n# \u68c0\u67e5 pip \u7248\u672c\npip --version\n</code></pre>"},{"location":"Technology/mkdocs%20material/#212-mkdocs","title":"2.1.2 MkDocs \u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#2121-pip","title":"2.1.2.1 pip \u5b89\u88c5\u65b9\u6cd5","text":"<p>\u4f7f\u7528 pip \u5b89\u88c5 MkDocs\uff1a</p> Bash<pre><code># \u5b89\u88c5 MkDocs\npip install mkdocs\n\n# \u9a8c\u8bc1\u5b89\u88c5\nmkdocs --version\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2122","title":"2.1.2.2 \u5e38\u89c1\u95ee\u9898\u89e3\u51b3","text":"<ol> <li> <p>pip \u4e0d\u662f\u5185\u90e8\u547d\u4ee4    - \u89e3\u51b3\u65b9\u6cd5\uff1a\u91cd\u65b0\u6dfb\u52a0 Python Scripts \u76ee\u5f55\u5230 PATH</p> </li> <li> <p>\u6743\u9650\u95ee\u9898    - \u89e3\u51b3\u65b9\u6cd5\uff1a\u4f7f\u7528\u7ba1\u7406\u5458\u6743\u9650\u8fd0\u884c\u547d\u4ee4\u63d0\u793a\u7b26</p> </li> </ol> Bash<pre><code># \u7ba1\u7406\u5458\u6743\u9650\u5b89\u88c5\npip install --user mkdocs\n</code></pre> <ol> <li>SSL \u8bc1\u4e66\u9519\u8bef    - \u89e3\u51b3\u65b9\u6cd5\uff1a\u6dfb\u52a0\u4fe1\u4efb\u9009\u9879\u6216\u4f7f\u7528\u56fd\u5185\u955c\u50cf</li> </ol> Bash<pre><code>pip install --trusted-host pypi.org --trusted-host files.pythonhosted.org mkdocs\n</code></pre>"},{"location":"Technology/mkdocs%20material/#213","title":"2.1.3 \u7248\u672c\u9009\u62e9","text":"<p>MkDocs \u7248\u672c\u9009\u62e9\u5efa\u8bae\uff1a</p> Bash<pre><code># \u67e5\u770b\u53ef\u7528\u7248\u672c\npip install mkdocs==\n\n# \u5b89\u88c5\u7279\u5b9a\u7248\u672c\npip install mkdocs==1.5.3  # \u63a8\u8350\u7248\u672c\n</code></pre>"},{"location":"Technology/mkdocs%20material/#214-material","title":"2.1.4 Material \u4e3b\u9898\u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#2141","title":"2.1.4.1 \u5b89\u88c5\u547d\u4ee4","text":"Bash<pre><code># \u5b89\u88c5 Material \u4e3b\u9898\npip install mkdocs-material\n\n# \u9a8c\u8bc1\u5b89\u88c5\npython -c \"import mkdocs_material; print(mkdocs_material.__version__)\"\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2142","title":"2.1.4.2 \u4f9d\u8d56\u68c0\u67e5","text":"<p>\u5b89\u88c5\u5fc5\u8981\u7684\u4f9d\u8d56\uff1a</p> Bash<pre><code># \u5b89\u88c5\u6269\u5c55\u652f\u6301\npip install pymdown-extensions\npip install mkdocs-glightbox\npip install mkdocs-git-revision-date-localized-plugin\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2143","title":"2.1.4.3 \u7248\u672c\u517c\u5bb9\u6027","text":"MkDocs \u7248\u672c Material \u7248\u672c Python \u7248\u672c 1.5. x 9.4. x \u22653.8 1.4. x 9.3. x \u22653.7 1.3. x 9.2. x \u22653.7"},{"location":"Technology/mkdocs%20material/#22-linuxmac","title":"2.2 Linux/Mac \u7cfb\u7edf\u5b89\u88c5","text":""},{"location":"Technology/mkdocs%20material/#221-python","title":"2.2.1 \u5305\u7ba1\u7406\u5668\u5b89\u88c5 Python","text":""},{"location":"Technology/mkdocs%20material/#2211-aptyum","title":"2.2.1.1 apt/yum \u5b89\u88c5\u65b9\u6cd5","text":"<p>Ubuntu/Debian:</p> Bash<pre><code># \u66f4\u65b0\u5305\u7d22\u5f15\nsudo apt update\n\n# \u5b89\u88c5 Python\nsudo apt install python3 python3-pip\n\n# \u5b89\u88c5\u5f00\u53d1\u5de5\u5177\nsudo apt install python3-dev\n</code></pre> <p>CentOS/RHEL:</p> Bash<pre><code># \u5b89\u88c5 EPEL \u4ed3\u5e93\nsudo yum install epel-release\n\n# \u5b89\u88c5 Python\nsudo yum install python3 python3-pip\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2212-brew","title":"2.2.1.2 brew \u5b89\u88c5\u65b9\u6cd5","text":"<p>macOS:</p> Bash<pre><code># \u5b89\u88c5 Homebrew\uff08\u5982\u679c\u672a\u5b89\u88c5\uff09\n/bin/bash -c \"$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)\"\n\n# \u5b89\u88c5 Python\nbrew install python\n\n# \u66f4\u65b0 pip\npip3 install --upgrade pip\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2213","title":"2.2.1.3 \u73af\u5883\u53d8\u91cf\u914d\u7f6e","text":"<p>bash/zsh:</p> Bash<pre><code># \u6dfb\u52a0\u5230 ~/.bashrc \u6216 ~/.zshrc\nexport PATH=\"$HOME/.local/bin:$PATH\"\nexport PYTHONPATH=\"$HOME/.local/lib/python3.x/site-packages:$PYTHONPATH\"\n\n# \u66f4\u65b0\u73af\u5883\u53d8\u91cf\nsource ~/.bashrc  # \u6216 source ~/.zshrc\n</code></pre>"},{"location":"Technology/mkdocs%20material/#222-pip","title":"2.2.2 pip \u5b89\u88c5\u4f9d\u8d56","text":""},{"location":"Technology/mkdocs%20material/#2221","title":"2.2.2.1 \u7cfb\u7edf\u7ea7\u5b89\u88c5","text":"Bash<pre><code># \u5168\u5c40\u5b89\u88c5\uff08\u9700\u8981 root \u6743\u9650\uff09\nsudo pip3 install mkdocs mkdocs-material\n\n# \u9a8c\u8bc1\u5b89\u88c5\nmkdocs --version\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2222","title":"2.2.2.2 \u7528\u6237\u7ea7\u5b89\u88c5","text":"Bash<pre><code># \u7528\u6237\u76ee\u5f55\u5b89\u88c5\npip3 install --user mkdocs mkdocs-material\n\n# \u68c0\u67e5\u5b89\u88c5\u8def\u5f84\npython3 -m site --user-site\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2223","title":"2.2.2.3 \u865a\u62df\u73af\u5883\u5b89\u88c5","text":"Bash<pre><code># \u521b\u5efa\u865a\u62df\u73af\u5883\npython3 -m venv mkdocs-env\n\n# \u6fc0\u6d3b\u865a\u62df\u73af\u5883\nsource mkdocs-env/bin/activate\n\n# \u5b89\u88c5\u4f9d\u8d56\npip install mkdocs mkdocs-material\n\n# \u9000\u51fa\u865a\u62df\u73af\u5883\ndeactivate\n</code></pre>"},{"location":"Technology/mkdocs%20material/#23","title":"2.3 \u9879\u76ee\u521d\u59cb\u5316","text":""},{"location":"Technology/mkdocs%20material/#231","title":"2.3.1 \u521b\u5efa\u9879\u76ee","text":""},{"location":"Technology/mkdocs%20material/#2311-mkdocs-new","title":"2.3.1.1 mkdocs new \u547d\u4ee4\u8be6\u89e3","text":"Bash<pre><code># \u57fa\u672c\u8bed\u6cd5\nmkdocs new [\u9879\u76ee\u540d]\n\n# \u521b\u5efa\u65b0\u9879\u76ee\nmkdocs new my-docs\n\n# \u4f7f\u7528\u73b0\u6709\u76ee\u5f55\ncd existing-project\nmkdocs new .\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2312","title":"2.3.1.2 \u9879\u76ee\u547d\u540d\u89c4\u8303","text":"<ul> <li>\u4f7f\u7528\u5c0f\u5199\u5b57\u6bcd</li> <li>\u5355\u8bcd\u95f4\u7528\u8fde\u5b57\u7b26 (-) \u5206\u9694</li> <li>\u907f\u514d\u4f7f\u7528\u7279\u6b8a\u5b57\u7b26</li> <li>\u540d\u79f0\u5177\u6709\u63cf\u8ff0\u6027</li> </ul> <p>\u793a\u4f8b\uff1a</p> Bash<pre><code>mkdocs new technical-docs    # \u597d\u7684\u547d\u540d\nmkdocs new tech_docs        # \u907f\u514d\u4f7f\u7528\u4e0b\u5212\u7ebf\nmkdocs new TechDocs         # \u907f\u514d\u4f7f\u7528\u5927\u5199\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2313","title":"2.3.1.3 \u521d\u59cb\u5316\u914d\u7f6e","text":"<p>\u521b\u5efa\u9879\u76ee\u540e\u7684\u57fa\u672c\u8bbe\u7f6e\uff1a</p> Bash<pre><code>cd my-docs\n# \u542f\u52a8\u5f00\u53d1\u670d\u52a1\u5668\nmkdocs serve\n# \u5728\u6d4f\u89c8\u5668\u4e2d\u8bbf\u95ee http://127.0.0.1:8000\n</code></pre>"},{"location":"Technology/mkdocs%20material/#232","title":"2.3.2 \u76ee\u5f55\u7ed3\u6784\u8bf4\u660e","text":""},{"location":"Technology/mkdocs%20material/#2321","title":"2.3.2.1 \u57fa\u7840\u76ee\u5f55\u7ed3\u6784","text":"Text Only<pre><code>my-docs/\n\u251c\u2500\u2500 docs/               # \u6587\u6863\u76ee\u5f55\n\u2502   \u251c\u2500\u2500 index.md       # \u9996\u9875\n\u2502   \u251c\u2500\u2500 about.md       # \u5176\u4ed6\u9875\u9762\n\u2502   \u2514\u2500\u2500 img/           # \u56fe\u7247\u76ee\u5f55\n\u251c\u2500\u2500 mkdocs.yml         # \u914d\u7f6e\u6587\u4ef6\n\u2514\u2500\u2500 venv/              # \u865a\u62df\u73af\u5883\uff08\u53ef\u9009\uff09\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2322-docs","title":"2.3.2.2 docs \u76ee\u5f55\u7ec4\u7ec7","text":"Text Only<pre><code>docs/\n\u251c\u2500\u2500 index.md           # \u9996\u9875\n\u251c\u2500\u2500 guide/             # \u6307\u5357\u76ee\u5f55\n\u2502   \u251c\u2500\u2500 index.md      # \u6307\u5357\u9996\u9875\n\u2502   \u251c\u2500\u2500 install.md    # \u5b89\u88c5\u8bf4\u660e\n\u2502   \u2514\u2500\u2500 usage.md      # \u4f7f\u7528\u8bf4\u660e\n\u251c\u2500\u2500 api/               # API\u6587\u6863\n\u2502   \u2514\u2500\u2500 index.md      # API\u9996\u9875\n\u2514\u2500\u2500 examples/          # \u793a\u4f8b\u76ee\u5f55\n    \u2514\u2500\u2500 basic.md      # \u57fa\u7840\u793a\u4f8b\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2323","title":"2.3.2.3 \u8d44\u6e90\u6587\u4ef6\u7ba1\u7406","text":"Text Only<pre><code>docs/\n\u251c\u2500\u2500 assets/           # \u8d44\u6e90\u76ee\u5f55\n\u2502   \u251c\u2500\u2500 images/      # \u56fe\u7247\u8d44\u6e90\n\u2502   \u251c\u2500\u2500 css/         # \u6837\u5f0f\u6587\u4ef6\n\u2502   \u251c\u2500\u2500 js/          # \u811a\u672c\u6587\u4ef6\n\u2502   \u2514\u2500\u2500 fonts/       # \u5b57\u4f53\u6587\u4ef6\n\u2514\u2500\u2500 files/           # \u4e0b\u8f7d\u6587\u4ef6\n    \u2514\u2500\u2500 sample.pdf   # \u793a\u4f8b\u6587\u4ef6\n</code></pre>"},{"location":"Technology/mkdocs%20material/#233","title":"2.3.3 \u57fa\u7840\u914d\u7f6e\u6587\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#2331-mkdocs-yml","title":"2.3.3.1 mkdocs. yml \u7ed3\u6784","text":"<p>\u57fa\u672c\u914d\u7f6e\u6587\u4ef6\u7ed3\u6784\uff1a</p> YAML<pre><code># \u7ad9\u70b9\u4fe1\u606f\nsite_name: \u6211\u7684\u6587\u6863\nsite_url: https://example.com/\nsite_author: \u4f5c\u8005\u540d\nsite_description: \u7ad9\u70b9\u63cf\u8ff0\n\n# \u4e3b\u9898\u8bbe\u7f6e\ntheme:\n  name: material\n  language: zh\n  features:\n    - navigation.tabs\n    - navigation.top\n\n# \u5bfc\u822a\u8bbe\u7f6e\nnav:\n  - \u9996\u9875: index.md\n  - \u6307\u5357: \n    - guide/index.md\n    - \u5b89\u88c5: guide/install.md\n    - \u4f7f\u7528: guide/usage.md\n\n# Markdown \u6269\u5c55\nmarkdown_extensions:\n  - attr_list\n  - md_in_html\n  - toc:\n      permalink: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2332","title":"2.3.3.2 \u6700\u5c0f\u914d\u7f6e\u793a\u4f8b","text":"<p>\u6700\u7b80\u5355\u7684\u914d\u7f6e\u6587\u4ef6\uff1a</p> YAML<pre><code>site_name: \u6211\u7684\u6587\u6863\ntheme:\n  name: material\n</code></pre>"},{"location":"Technology/mkdocs%20material/#2333","title":"2.3.3.3 \u914d\u7f6e\u6587\u4ef6\u8bed\u6cd5","text":"<p>YAML \u8bed\u6cd5\u8981\u70b9\uff1a</p> YAML<pre><code># \u5b57\u7b26\u4e32\ntitle: \u6211\u7684\u6587\u6863\n\n# \u5217\u8868\nplugins:\n  - search\n  - tags\n\n# \u5bf9\u8c61\ntheme:\n  name: material\n  features:\n    - navigation.tabs\n\n# \u591a\u884c\u5b57\u7b26\u4e32\ndescription: &gt;\n  \u8fd9\u662f\u4e00\u4e2a\n  \u591a\u884c\u63cf\u8ff0\n  \u793a\u4f8b\n\n# \u951a\u70b9\u5f15\u7528\ncopyright: &amp;copyright 2024 My Docs\nfooter:\n  copyright: *copyright\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3-mkdocs","title":"3 MkDocs \u6838\u5fc3\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#31","title":"3.1 \u7ad9\u70b9\u4fe1\u606f\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#311-site_name","title":"3.1.1 site_name \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3111","title":"3.1.1.1 \u547d\u540d\u89c4\u8303","text":"<p>\u7f51\u7ad9\u540d\u79f0\u662f\u7ad9\u70b9\u7684\u7b2c\u4e00\u5370\u8c61\uff0c\u5e94\u9075\u5faa\u4ee5\u4e0b\u89c4\u8303\uff1a</p> YAML<pre><code># \u63a8\u8350\u7684\u547d\u540d\u65b9\u5f0f\nsite_name: \u6280\u672f\u6587\u6863\u4e2d\u5fc3\nsite_name: Developer Hub\nsite_name: API Documentation\n\n# \u907f\u514d\u7684\u547d\u540d\u65b9\u5f0f\nsite_name: docs            # \u592a\u8fc7\u7b80\u5355\nsite_name: My Doc Site     # \u4e0d\u591f\u4e13\u4e1a\nsite_name: TEST           # \u7f3a\u4e4f\u63cf\u8ff0\u6027\n</code></pre> <p>\u547d\u540d\u5efa\u8bae\uff1a</p> <ul> <li>\u4f7f\u7528\u7b80\u6d01\u660e\u4e86\u7684\u540d\u79f0</li> <li>\u53cd\u6620\u6587\u6863\u7684\u4e3b\u8981\u5185\u5bb9</li> <li>\u8003\u8651\u54c1\u724c\u8bc6\u522b\u5ea6</li> <li>\u907f\u514d\u4f7f\u7528\u7279\u6b8a\u5b57\u7b26</li> <li>\u9002\u5f53\u4f7f\u7528\u7a7a\u683c\u5206\u9694\u5355\u8bcd</li> </ul>"},{"location":"Technology/mkdocs%20material/#3112","title":"3.1.1.2 \u591a\u8bed\u8a00\u652f\u6301","text":"<p>\u53ef\u4ee5\u901a\u8fc7\u914d\u7f6e\u5b9e\u73b0\u591a\u8bed\u8a00\u7ad9\u70b9\uff1a</p> YAML<pre><code># \u57fa\u7840\u914d\u7f6e\nsite_name: My Documentation\ntheme:\n  language: zh\n\n# \u591a\u8bed\u8a00\u914d\u7f6e\u793a\u4f8b\nextra:\n  alternate:\n    - name: English\n      link: /en/ \n      lang: en\n    - name: \u4e2d\u6587\n      link: /zh/\n      lang: zh\n\n# \u8bed\u8a00\u7279\u5b9a\u7684\u7ad9\u70b9\u540d\u79f0\nsite_name:\n  en: My Documentation\n  zh: \u6211\u7684\u6587\u6863\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3113-seo","title":"3.1.1.3 SEO \u4f18\u5316","text":"<p>\u901a\u8fc7\u5408\u9002\u7684\u7ad9\u70b9\u540d\u79f0\u63d0\u5347 SEO\uff1a</p> YAML<pre><code># SEO \u4f18\u5316\u914d\u7f6e\nsite_name: ProductName Documentation | CompanyName\nextra:\n  meta:\n    - name: robots\n      content: 'index, follow'\n    - name: keywords\n      content: 'docs, documentation, technical, api'\n</code></pre>"},{"location":"Technology/mkdocs%20material/#312-site_url","title":"3.1.2 site_url \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3121-url","title":"3.1.2.1 URL \u683c\u5f0f\u8981\u6c42","text":"YAML<pre><code># \u6b63\u786e\u7684 URL \u683c\u5f0f\nsite_url: https://example.com/docs/\nsite_url: https://docs.example.com/\n\n# \u907f\u514d\u7684\u683c\u5f0f\nsite_url: http://example.com/docs    # \u7f3a\u5c11\u5c3e\u90e8\u659c\u6760\nsite_url: example.com/docs/          # \u7f3a\u5c11\u534f\u8bae\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3122","title":"3.1.2.2 \u57fa\u7840\u8def\u5f84\u914d\u7f6e","text":"YAML<pre><code># \u6839\u76ee\u5f55\u90e8\u7f72\nsite_url: https://example.com/\n\n# \u5b50\u76ee\u5f55\u90e8\u7f72\nsite_url: https://example.com/docs/\nuse_directory_urls: true  # \u63a8\u8350\u8bbe\u7f6e\n\n# \u672c\u5730\u5f00\u53d1\nsite_url: http://localhost:8000/\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3123","title":"3.1.2.3 \u5b50\u76ee\u5f55\u90e8\u7f72\u914d\u7f6e","text":"YAML<pre><code># GitHub Pages \u5b50\u76ee\u5f55\u90e8\u7f72\nsite_url: https://username.github.io/repository/\n\n# \u81ea\u5b9a\u4e49\u57df\u540d\u5b50\u76ee\u5f55\nsite_url: https://docs.example.com/project/\nextra:\n  base_path: /project/  # \u5982\u679c\u9700\u8981\n</code></pre>"},{"location":"Technology/mkdocs%20material/#313-site_author","title":"3.1.3 site_author \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3131","title":"3.1.3.1 \u4f5c\u8005\u4fe1\u606f\u8bbe\u7f6e","text":"YAML<pre><code># \u57fa\u7840\u4f5c\u8005\u4fe1\u606f\nsite_author: John Doe\n\n# \u6269\u5c55\u4f5c\u8005\u4fe1\u606f\nextra:\n  author:\n    name: John Doe\n    email: john@example.com\n    website: https://johndoe.com\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3132","title":"3.1.3.2 \u7248\u6743\u4fe1\u606f","text":"YAML<pre><code># \u7248\u6743\u58f0\u660e\ncopyright: \"&amp;copy; 2024 John Doe\"\n\n# \u9ad8\u7ea7\u7248\u6743\u914d\u7f6e\nextra:\n  copyright:\n    author: John Doe\n    year: 2024\n    license: CC BY-NC-SA 4.0\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3133-meta","title":"3.1.3.3 meta \u4fe1\u606f","text":"YAML<pre><code># meta \u4fe1\u606f\u914d\u7f6e\nextra:\n  meta:\n    - name: author\n      content: John Doe\n    - name: contact\n      content: contact@example.com\n    - property: article:author\n      content: https://example.com/author\n</code></pre>"},{"location":"Technology/mkdocs%20material/#314-site_description","title":"3.1.4 site_description \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#3141-seo","title":"3.1.4.1 SEO \u63cf\u8ff0","text":"YAML<pre><code># \u57fa\u7840\u63cf\u8ff0\nsite_description: \u5168\u9762\u7684\u6280\u672f\u6587\u6863\u4e2d\u5fc3\uff0c\u63d0\u4f9b\u8be6\u7ec6\u7684API\u6587\u6863\u3001\u4f7f\u7528\u6307\u5357\u548c\u6700\u4f73\u5b9e\u8df5\u3002\n\n# \u591a\u8bed\u8a00\u63cf\u8ff0\nextra:\n  descriptions:\n    en: Comprehensive technical documentation center\n    zh: \u5168\u9762\u7684\u6280\u672f\u6587\u6863\u4e2d\u5fc3\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3142","title":"3.1.4.2 \u5173\u952e\u8bcd\u8bbe\u7f6e","text":"YAML<pre><code># \u901a\u8fc7 meta \u6807\u7b7e\u8bbe\u7f6e\u5173\u952e\u8bcd\nextra:\n  meta:\n    - name: keywords\n      content: MkDocs, documentation, technical docs, API, guides\n    - name: description\n      content: &gt;-\n        \u5168\u9762\u7684\u6280\u672f\u6587\u6863\u4e2d\u5fc3\uff0c\u5305\u542b\u8be6\u7ec6\u7684API\u6587\u6863\u3001\n        \u4f7f\u7528\u6307\u5357\u548c\u6700\u4f73\u5b9e\u8df5\u793a\u4f8b\u3002\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3143","title":"3.1.4.3 \u7ad9\u70b9\u6458\u8981","text":"YAML<pre><code># \u5b8c\u6574\u7684\u7ad9\u70b9\u4fe1\u606f\u914d\u7f6e\u793a\u4f8b\nsite_name: \u6280\u672f\u6587\u6863\u4e2d\u5fc3\nsite_description: &gt;-\n  \u63d0\u4f9b\u5168\u9762\u7684\u6280\u672f\u6587\u6863\u3001API\u53c2\u8003\u548c\u4f7f\u7528\u6307\u5357\uff0c\n  \u5e2e\u52a9\u5f00\u53d1\u8005\u5feb\u901f\u4e0a\u624b\u548c\u6df1\u5165\u4e86\u89e3\u4ea7\u54c1\u529f\u80fd\u3002\nsite_author: \u5f00\u53d1\u56e2\u961f\nsite_url: https://docs.example.com/\n\nextra:\n  meta:\n    - name: keywords\n      content: \u6280\u672f\u6587\u6863, API\u6587\u6863, \u5f00\u53d1\u6307\u5357, \u6700\u4f73\u5b9e\u8df5\n    - name: author\n      content: \u5f00\u53d1\u56e2\u961f\n    - name: robots\n      content: index, follow\n\n  analytics:\n    gtag: G-XXXXXXXXXX\n\ncopyright: \"&amp;copy; 2024 Example Company\"\n</code></pre>"},{"location":"Technology/mkdocs%20material/#315","title":"3.1.5 \u914d\u7f6e\u6700\u4f73\u5b9e\u8df5","text":"<ol> <li> <p>SEO \u4f18\u5316\u5efa\u8bae\uff1a    - \u4f7f\u7528\u6e05\u6670\u7684\u7ad9\u70b9\u540d\u79f0    - \u7f16\u5199\u6709\u5438\u5f15\u529b\u7684\u63cf\u8ff0    - \u5305\u542b\u76f8\u5173\u5173\u952e\u8bcd    - \u786e\u4fdd URL \u7ed3\u6784\u5408\u7406</p> </li> <li> <p>\u591a\u8bed\u8a00\u652f\u6301\uff1a    - \u4e3a\u6bcf\u79cd\u8bed\u8a00\u63d0\u4f9b\u72ec\u7acb\u63cf\u8ff0    - \u4f7f\u7528\u6b63\u786e\u7684\u8bed\u8a00\u4ee3\u7801    - \u8bbe\u7f6e\u5408\u9002\u7684\u5b57\u7b26\u7f16\u7801</p> </li> <li> <p>\u7248\u672c\u63a7\u5236\uff1a    - \u8bb0\u5f55\u914d\u7f6e\u66f4\u6539    - \u4f7f\u7528\u7248\u672c\u6ce8\u91ca    - \u5b9a\u671f\u66f4\u65b0\u7ad9\u70b9\u4fe1\u606f</p> </li> <li> <p>\u53ef\u7ef4\u62a4\u6027\uff1a    - \u4f7f\u7528\u6e05\u6670\u7684\u914d\u7f6e\u7ed3\u6784    - \u6dfb\u52a0\u5fc5\u8981\u7684\u6ce8\u91ca    - \u4fdd\u6301\u914d\u7f6e\u6587\u4ef6\u6574\u6d01</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#32","title":"3.2 \u5bfc\u822a\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#321-nav","title":"3.2.1 nav \u7ed3\u6784\u8bbe\u8ba1","text":""},{"location":"Technology/mkdocs%20material/#3211","title":"3.2.1.1 \u57fa\u7840\u5bfc\u822a\u7ed3\u6784","text":"<p>\u6700\u57fa\u672c\u7684\u5bfc\u822a\u914d\u7f6e\u793a\u4f8b\uff1a</p> YAML<pre><code>nav:\n  - Home: index.md\n  - About: about.md\n  - Contact: contact.md\n</code></pre> <p>\u66f4\u590d\u6742\u7684\u5206\u7ec4\u793a\u4f8b\uff1a</p> YAML<pre><code>nav:\n  - \u9996\u9875: index.md\n  - \u7528\u6237\u6307\u5357:\n    - \u4ecb\u7ecd: guide/introduction.md\n    - \u5feb\u901f\u5f00\u59cb: guide/getting-started.md\n    - \u57fa\u7840\u6559\u7a0b: guide/basics.md\n  - API \u6587\u6863:\n    - \u6982\u89c8: api/overview.md\n    - \u63a5\u53e3\u8bf4\u660e: api/reference.md\n  - \u5e38\u89c1\u95ee\u9898: faq.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3212","title":"3.2.1.2 \u5206\u7c7b\u7ec4\u7ec7","text":"<p>\u63a8\u8350\u7684\u5206\u7c7b\u65b9\u5f0f\uff1a</p> YAML<pre><code>nav:\n  - \u5f00\u59cb\u4f7f\u7528:\n    - \u7b80\u4ecb: getting-started/introduction.md\n    - \u5b89\u88c5: getting-started/installation.md\n    - \u914d\u7f6e: getting-started/configuration.md\n\n  - \u6838\u5fc3\u6982\u5ff5:\n    - \u6982\u8ff0: concepts/overview.md\n    - \u57fa\u7840\u67b6\u6784: concepts/architecture.md\n    - \u5de5\u4f5c\u539f\u7406: concepts/how-it-works.md\n\n  - \u9ad8\u7ea7\u6307\u5357:\n    - \u81ea\u5b9a\u4e49\u4e3b\u9898: advanced/custom-theme.md\n    - \u63d2\u4ef6\u5f00\u53d1: advanced/plugin-development.md\n    - \u6027\u80fd\u4f18\u5316: advanced/performance.md\n\n  - \u53c2\u8003\u6587\u6863:\n    - API: reference/api.md\n    - \u914d\u7f6e\u9879: reference/configuration.md\n    - \u547d\u4ee4\u884c: reference/cli.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3213","title":"3.2.1.3 \u6743\u91cd\u8bbe\u7f6e","text":"<p>\u4f7f\u7528\u6587\u4ef6\u540d\u524d\u7f00\u63a7\u5236\u987a\u5e8f\uff1a</p> YAML<pre><code>docs/\n\u251c\u2500\u2500 01_introduction.md\n\u251c\u2500\u2500 02_installation.md\n\u251c\u2500\u2500 03_configuration.md\n\u2514\u2500\u2500 04_usage.md\n\n# mkdocs.yml\nnav:\n  - \u4ecb\u7ecd: 01_introduction.md\n  - \u5b89\u88c5: 02_installation.md\n  - \u914d\u7f6e: 03_configuration.md\n  - \u4f7f\u7528: 04_usage.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#322","title":"3.2.2 \u6587\u4ef6\u7ec4\u7ec7","text":""},{"location":"Technology/mkdocs%20material/#3221","title":"3.2.2.1 \u6587\u4ef6\u547d\u540d\u89c4\u8303","text":"<p>\u63a8\u8350\u7684\u547d\u540d\u89c4\u8303\uff1a</p> Text Only<pre><code>docs/\n\u251c\u2500\u2500 index.md                    # \u9996\u9875\n\u251c\u2500\u2500 getting-started.md         # \u77ed\u6a2a\u7ebf\u5206\u9694\n\u251c\u2500\u2500 advanced_usage.md          # \u4e0b\u5212\u7ebf\u5206\u9694\uff08\u53ef\u9009\uff09\n\u2514\u2500\u2500 troubleshooting.md         # \u5168\u5c0f\u5199\n</code></pre> <p>\u6587\u4ef6\u547d\u540d\u5efa\u8bae\uff1a</p> <ul> <li>\u4f7f\u7528\u5c0f\u5199\u5b57\u6bcd</li> <li>\u5355\u8bcd\u95f4\u4f7f\u7528\u8fde\u5b57\u7b26\u6216\u4e0b\u5212\u7ebf</li> <li>\u6587\u4ef6\u540d\u5e94\u5177\u6709\u63cf\u8ff0\u6027</li> <li>\u4fdd\u6301\u547d\u540d\u4e00\u81f4\u6027</li> <li>\u907f\u514d\u4f7f\u7528\u7a7a\u683c\u548c\u7279\u6b8a\u5b57\u7b26</li> </ul>"},{"location":"Technology/mkdocs%20material/#3222","title":"3.2.2.2 \u76ee\u5f55\u7ec4\u7ec7\u539f\u5219","text":"<p>\u6807\u51c6\u76ee\u5f55\u7ed3\u6784\uff1a</p> Text Only<pre><code>docs/\n\u251c\u2500\u2500 index.md                # \u7f51\u7ad9\u9996\u9875\n\u251c\u2500\u2500 getting-started/        # \u5165\u95e8\u6307\u5357\n\u2502   \u251c\u2500\u2500 index.md           # \u5206\u7c7b\u9996\u9875\n\u2502   \u251c\u2500\u2500 installation.md    # \u5b89\u88c5\u8bf4\u660e\n\u2502   \u2514\u2500\u2500 configuration.md   # \u914d\u7f6e\u8bf4\u660e\n\u251c\u2500\u2500 user-guide/            # \u7528\u6237\u6307\u5357\n\u2502   \u251c\u2500\u2500 index.md          # \u6307\u5357\u9996\u9875\n\u2502   \u251c\u2500\u2500 basic-usage.md    # \u57fa\u7840\u7528\u6cd5\n\u2502   \u2514\u2500\u2500 advanced.md       # \u9ad8\u7ea7\u7279\u6027\n\u2514\u2500\u2500 api/                   # API\u6587\u6863\n    \u251c\u2500\u2500 index.md          # API\u6982\u89c8\n    \u251c\u2500\u2500 endpoints.md      # \u63a5\u53e3\u5217\u8868\n    \u2514\u2500\u2500 authentication.md # \u8ba4\u8bc1\u8bf4\u660e\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3223","title":"3.2.2.3 \u7d22\u5f15\u6587\u4ef6\u4f7f\u7528","text":"<p>\u6bcf\u4e2a\u76ee\u5f55\u7684 index. md \u793a\u4f8b\uff1a</p> Markdown<pre><code># \u7528\u6237\u6307\u5357\n\n\u8fd9\u662f\u7528\u6237\u6307\u5357\u7684\u4e3b\u9875\u9762\uff0c\u5305\u542b\u4ee5\u4e0b\u5185\u5bb9\uff1a\n\n## \u5feb\u901f\u5bfc\u822a\n\n-  [\u57fa\u7840\u7528\u6cd5] (basic-usage.md) - \u5165\u95e8\u5fc5\u8bfb\n-  [\u9ad8\u7ea7\u7279\u6027] (advanced.md) - \u6df1\u5165\u4e86\u89e3\n\n## \u672c\u8282\u5185\u5bb9\n\n\u6b64\u90e8\u5206\u5c06\u5e2e\u52a9\u60a8\u4e86\u89e3\u4ea7\u54c1\u7684\u6838\u5fc3\u529f\u80fd\u548c\u4f7f\u7528\u65b9\u6cd5...\n</code></pre> <p>\u5bf9\u5e94\u7684\u5bfc\u822a\u914d\u7f6e\uff1a</p> YAML<pre><code>nav:\n  - \u7528\u6237\u6307\u5357:\n    - \u6982\u8ff0: user-guide/index.md\n    - \u57fa\u7840\u7528\u6cd5: user-guide/basic-usage.md\n    - \u9ad8\u7ea7\u7279\u6027: user-guide/advanced.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#323","title":"3.2.3 \u591a\u7ea7\u76ee\u5f55","text":""},{"location":"Technology/mkdocs%20material/#3231","title":"3.2.3.1 \u5c42\u7ea7\u7ed3\u6784\u8bbe\u8ba1","text":"<p>\u590d\u6742\u7684\u591a\u7ea7\u76ee\u5f55\u793a\u4f8b\uff1a</p> YAML<pre><code>nav:\n  - \u9996\u9875: index.md\n  - \u5165\u95e8\u6307\u5357:\n    - \u6982\u8ff0: getting-started/index.md\n    - \u57fa\u7840:\n      - \u5b89\u88c5: getting-started/basics/installation.md\n      - \u914d\u7f6e: getting-started/basics/configuration.md\n    - \u8fdb\u9636:\n      - \u81ea\u5b9a\u4e49: getting-started/advanced/customization.md\n      - \u4f18\u5316: getting-started/advanced/optimization.md\n  - \u5f00\u53d1\u6587\u6863:\n    - \u6982\u8ff0: development/index.md\n    - API:\n      - \u8ba4\u8bc1: development/api/authentication.md\n      - \u63a5\u53e3: development/api/endpoints.md\n    - SDK:\n      - Python: development/sdk/python.md\n      - JavaScript: development/sdk/javascript.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3232","title":"3.2.3.2 \u5bfc\u822a\u6df1\u5ea6\u63a7\u5236","text":"YAML<pre><code>theme:\n  name: material\n  features:\n    - navigation.sections  # \u663e\u793a\u7ae0\u8282\n    - navigation.expand   # \u5c55\u5f00\u5bfc\u822a\n    - navigation.indexes  # \u4f7f\u7528\u76ee\u5f55\u7d22\u5f15\n    - toc.integrate      # \u96c6\u6210\u76ee\u5f55\n\nmarkdown_extensions:\n  - toc:\n      permalink: true\n      toc_depth: 3       # \u63a7\u5236\u76ee\u5f55\u6df1\u5ea6\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3233","title":"3.2.3.3 \u6298\u53e0\u914d\u7f6e","text":"<p>Material \u4e3b\u9898\u7684\u6298\u53e0\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  features:\n    - navigation.sections    # \u663e\u793a\u5206\u533a\n    - navigation.expand     # \u9ed8\u8ba4\u5c55\u5f00\n    - navigation.indexes    # \u4f7f\u7528\u7d22\u5f15\u9875\n    - navigation.top        # \u8fd4\u56de\u9876\u90e8\u6309\u94ae\n\n  # \u5bfc\u822a\u680f\u8bbe\u7f6e\n  nav_style: dark          # \u5bfc\u822a\u680f\u6837\u5f0f\n  collapse_navigation: true # \u6298\u53e0\u5bfc\u822a\n  sticky_navigation: true  # \u56fa\u5b9a\u5bfc\u822a\n</code></pre>"},{"location":"Technology/mkdocs%20material/#324","title":"3.2.4 \u5bfc\u822a\u914d\u7f6e\u6700\u4f73\u5b9e\u8df5","text":"<ol> <li> <p>\u7ed3\u6784\u8bbe\u8ba1\u539f\u5219\uff1a    - \u4fdd\u6301\u5c42\u7ea7\u6e05\u6670    - \u63a7\u5236\u5bfc\u822a\u6df1\u5ea6\uff08\u5efa\u8bae\u4e0d\u8d85\u8fc7 3 \u5c42\uff09    - \u76f8\u5173\u5185\u5bb9\u5206\u7ec4    - \u4f7f\u7528\u76f4\u89c2\u7684\u547d\u540d</p> </li> <li> <p>\u6587\u4ef6\u7ec4\u7ec7\uff1a    - \u4f7f\u7528\u6709\u610f\u4e49\u7684\u76ee\u5f55\u540d    - \u4fdd\u6301\u6587\u4ef6\u7ed3\u6784\u6574\u6d01    - \u5408\u7406\u4f7f\u7528\u7d22\u5f15\u6587\u4ef6    - \u9075\u5faa\u4e00\u81f4\u7684\u547d\u540d\u89c4\u8303</p> </li> <li> <p>\u7528\u6237\u4f53\u9a8c\uff1a    - \u63d0\u4f9b\u6e05\u6670\u7684\u5bfc\u822a\u8def\u5f84    - \u6dfb\u52a0\u5408\u9002\u7684\u63cf\u8ff0    - \u8003\u8651\u79fb\u52a8\u7aef\u663e\u793a    - \u4f18\u5316\u5bfc\u822a\u54cd\u5e94\u901f\u5ea6</p> </li> <li> <p>\u7ef4\u62a4\u5efa\u8bae\uff1a    - \u5b9a\u671f\u68c0\u67e5\u6b7b\u94fe\u63a5    - \u66f4\u65b0\u5bfc\u822a\u7ed3\u6784    - \u4fdd\u6301\u6587\u6863\u540c\u6b65    - \u6536\u96c6\u7528\u6237\u53cd\u9988</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#325","title":"3.2.5 \u7279\u6b8a\u5bfc\u822a\u529f\u80fd","text":"<ol> <li>\u9690\u85cf\u9875\u9762\uff1a</li> </ol> YAML<pre><code>nav:\n  - \u53ef\u89c1\u9875\u9762: visible.md\n  - !hidden \u9690\u85cf\u9875\u9762: hidden.md\n</code></pre> <ol> <li>\u5916\u90e8\u94fe\u63a5\uff1a</li> </ol> YAML<pre><code>nav:\n  - \u6587\u6863: index.md\n  - GitHub: https://github.com/your/repo\n  - \u793e\u533a: \n    - \u8bba\u575b: https://forum.example.com\n    - \u535a\u5ba2: https://blog.example.com\n</code></pre> <ol> <li>\u522b\u540d\u8bbe\u7f6e\uff1a</li> </ol> YAML<pre><code>nav:\n  - \u5f00\u59cb: \n    - \u6982\u8ff0: getting-started/index.md\n    - \u5feb\u901f\u5165\u95e8: getting-started/quickstart.md\n    - \u540c\u4e00\u6587\u4ef6\u4e0d\u540c\u5165\u53e3: !alias getting-started/quickstart.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#33-markdown","title":"3.3 Markdown \u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#331","title":"3.3.1 \u57fa\u7840\u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#3311-meta","title":"3.3.1.1 meta \u6269\u5c55","text":"<p>\u652f\u6301\u5728 Markdown \u6587\u4ef6\u5934\u90e8\u6dfb\u52a0\u5143\u6570\u636e\uff1a</p> YAML<pre><code># mkdocs.yml \u914d\u7f6e\nmarkdown_extensions:\n  - meta\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>---\ntitle: \u6211\u7684\u9875\u9762\u6807\u9898\ndescription: \u9875\u9762\u63cf\u8ff0\nauthor: \u4f5c\u8005\u540d\ndate: 2024-01-01\n---\n\n# \u6b63\u6587\u5185\u5bb9\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3312-toc","title":"3.3.1.2 toc \u6269\u5c55","text":"<p>\u81ea\u52a8\u751f\u6210\u76ee\u5f55\uff1a</p> YAML<pre><code>markdown_extensions:\n  - toc:\n      permalink: true        # \u6dfb\u52a0\u6bb5\u843d\u94fe\u63a5\n      toc_depth: 3          # \u76ee\u5f55\u6df1\u5ea6\n      separator: \"_\"        # \u6807\u9898\u951a\u70b9\u5206\u9694\u7b26\n      title: \"\u76ee\u5f55\"         # \u76ee\u5f55\u6807\u9898\n      slugify: !!python/object/apply:pymdownx.slugs.slugify\n        kwds: {case: lower} # URL \u8f6c\u6362\u89c4\u5219\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>[TOC]\n\n# \u4e00\u7ea7\u6807\u9898\n## \u4e8c\u7ea7\u6807\u9898\n### \u4e09\u7ea7\u6807\u9898\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3313-tables","title":"3.3.1.3 tables \u6269\u5c55","text":"<p>\u589e\u5f3a\u7684\u8868\u683c\u652f\u6301\uff1a</p> YAML<pre><code>markdown_extensions:\n  - tables\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>| \u529f\u80fd | \u57fa\u7840\u7248 | \u4e13\u4e1a\u7248 |\n|-----|:------:|-------:|\n| \u529f\u80fdA | \u2713 | \u2713 |\n| \u529f\u80fdB | \u2717 | \u2713 |\n| \u529f\u80fdC | \u2717 | \u2713 |\n\n: \u8868\u683c\u6807\u9898 {.class-name}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#332-pymdown-extensions","title":"3.3.2 PyMdown Extensions","text":""},{"location":"Technology/mkdocs%20material/#3321-superfences","title":"3.3.2.1 superfences \u914d\u7f6e","text":"<p>\u589e\u5f3a\u7684\u4ee3\u7801\u5757\u529f\u80fd\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_div_format\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>```python title=\"example.py\" linenums=\"1\" hl_lines=\"2 3\"\ndef hello_world():\n    message = \"Hello, World!\"\n    print(message)\n    return message\n```\n\n```mermaid\ngraph LR\n    A[\u5f00\u59cb] --&gt; B{\u5224\u65ad}\n    B --&gt; |Yes| C[\u6267\u884c]\n    B --&gt; |No| D[\u8df3\u8fc7]\n```\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3322-emoji","title":"3.3.2.2 emoji \u652f\u6301","text":"<p>\u6dfb\u52a0\u8868\u60c5\u7b26\u53f7\u652f\u6301\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.emoji:\n      emoji_index: !!python/name:material.extensions.emoji.twemoji\n      emoji_generator: !!python/name:material.extensions.emoji.to_svg\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>:smile: :heart: :thumbsup:\n\n:fontawesome-brands-github: GitHub\n:material-account: \u7528\u6237\n:octicons-repo-16: \u4ed3\u5e93\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3323-tasklist","title":"3.3.2.3 tasklist \u529f\u80fd","text":"<p>\u4efb\u52a1\u5217\u8868\u652f\u6301\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.tasklist:\n      custom_checkbox: true    # \u81ea\u5b9a\u4e49\u590d\u9009\u6846\u6837\u5f0f\n      clickable_checkbox: true # \u53ef\u70b9\u51fb\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>- [x] \u5df2\u5b8c\u6210\u4efb\u52a1\n- [ ] \u672a\u5b8c\u6210\u4efb\u52a1\n  - [x] \u5b50\u4efb\u52a1 1\n  - [ ] \u5b50\u4efb\u52a1 2\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3324-pymdown","title":"3.3.2.4 \u5176\u4ed6\u5e38\u7528 PyMdown \u6269\u5c55","text":"YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight     # \u4ee3\u7801\u9ad8\u4eae\n  - pymdownx.inlinehilite # \u884c\u5185\u4ee3\u7801\u9ad8\u4eae\n  - pymdownx.snippets     # \u4ee3\u7801\u7247\u6bb5\n  - pymdownx.magiclink    # \u81ea\u52a8\u94fe\u63a5\n  - pymdownx.mark        # ==\u6807\u8bb0==\n  - pymdownx.critic      # \u7f16\u8f91\u6807\u8bb0\n  - pymdownx.tilde      # \u5220\u9664\u7ebf\n  - pymdownx.caret      # \u4e0a\u6807\n  - pymdownx.keys       # \u952e\u76d8\u6309\u952e\n  - pymdownx.tabbed    # \u6807\u7b7e\u9875\n</code></pre>"},{"location":"Technology/mkdocs%20material/#333","title":"3.3.3 \u81ea\u5b9a\u4e49\u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#3331","title":"3.3.3.1 \u6269\u5c55\u5f00\u53d1\u57fa\u7840","text":"<p>\u521b\u5efa\u81ea\u5b9a\u4e49\u6269\u5c55\uff1a</p> Python<pre><code># custom_extension.py\nfrom markdown.extensions import Extension\nfrom markdown.preprocessors import Preprocessor\n\nclass CustomPreprocessor(Preprocessor):\n    def run(self, lines):\n        new_lines = []\n        for line in lines:\n            new_lines.append(line.replace('[[', '**').replace(']]', '**'))\n        return new_lines\n\nclass CustomExtension(Extension):\n    def extendMarkdown(self, md):\n        md.preprocessors.register(CustomPreprocessor(md), 'custom_preprocessor', 175)\n</code></pre>"},{"location":"Technology/mkdocs%20material/#34","title":"3.4 \u5e38\u7528\u6269\u5c55\u793a\u4f8b","text":"<ol> <li>\u6dfb\u52a0\u81ea\u5b9a\u4e49 HTML \u5c5e\u6027\uff1a</li> </ol> Python<pre><code>from markdown.extensions import Extension\nfrom markdown.treeprocessors import Treeprocessor\n\nclass CustomAttributesTreeprocessor(Treeprocessor):\n    def run(self, root):\n        for elem in root.iter():\n            if 'class' in elem.attrib:\n                elem.set('data-custom', 'value')\n\nclass CustomAttributesExtension(Extension):\n    def extendMarkdown(self, md):\n        md.treeprocessors.register(\n            CustomAttributesTreeprocessor(md), 'custom_attributes', 15\n        )\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u5bb9\u5668\uff1a</li> </ol> Python<pre><code>from markdown.extensions import Extension\nfrom markdown.blockprocessors import BlockProcessor\nimport re\n\nclass CustomContainerProcessor(BlockProcessor):\n    RE = re.compile(r':{3,}\\ *(warning|note|tip)\\ *')\n\n    def run(self, parent, blocks):\n        block = blocks.pop(0)\n        m = self.RE.match(block)\n\n        if m:\n            container_type = m.group(1)\n            div = etree.SubElement(parent, 'div')\n            div.set('class', f'custom-container {container_type}')\n\n            # \u5904\u7406\u5bb9\u5668\u5185\u5bb9\n            self.parser.parseChunk(div, block[m.end():])\n\nclass CustomContainerExtension(Extension):\n    def extendMarkdown(self, md):\n        md.parser.blockprocessors.register(\n            CustomContainerProcessor(md.parser), 'custom_container', 175\n        )\n</code></pre>"},{"location":"Technology/mkdocs%20material/#341","title":"3.4.1 \u6269\u5c55\u914d\u7f6e\u65b9\u6cd5","text":"<p>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\u81ea\u5b9a\u4e49\u6269\u5c55\uff1a</p> YAML<pre><code>markdown_extensions:\n  - custom_extension:\n      option1: value1\n      option2: value2\n\nextra_css:\n  - css/custom_extension.css\n\nextra_javascript:\n  - js/custom_extension.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#342","title":"3.4.2 \u6269\u5c55\u7ec4\u5408\u63a8\u8350","text":""},{"location":"Technology/mkdocs%20material/#3421","title":"3.4.2.1 \u57fa\u7840\u6587\u6863\u914d\u7f6e","text":"YAML<pre><code>markdown_extensions:\n  - meta\n  - toc:\n      permalink: true\n  - tables\n  - attr_list\n  - def_list\n  - footnotes\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3422","title":"3.4.2.2 \u589e\u5f3a\u529f\u80fd\u914d\u7f6e","text":"YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_div_format\n  - pymdownx.highlight:\n      anchor_linenums: true\n  - pymdownx.inlinehilite\n  - pymdownx.snippets\n  - pymdownx.tasklist:\n      custom_checkbox: true\n  - pymdownx.emoji:\n      emoji_index: !!python/name:material.extensions.emoji.twemoji\n      emoji_generator: !!python/name:material.extensions.emoji.to_svg\n</code></pre>"},{"location":"Technology/mkdocs%20material/#343","title":"3.4.3 \u5b8c\u6574\u63a8\u8350\u914d\u7f6e","text":"YAML<pre><code>markdown_extensions:\n  # Python Markdown\n  - meta\n  - toc:\n      permalink: true\n      toc_depth: 4\n  - tables\n  - attr_list\n  - def_list\n  - md_in_html\n  - footnotes\n\n  # Python Markdown Extensions\n  - pymdownx.superfences\n  - pymdownx.highlight\n  - pymdownx.inlinehilite\n  - pymdownx.snippets\n  - pymdownx.tasklist\n  - pymdownx.emoji\n  - pymdownx.mark\n  - pymdownx.critic\n  - pymdownx.keys\n  - pymdownx.tilde\n  - pymdownx.caret\n  - pymdownx.details\n  - pymdownx.magiclink\n  - pymdownx.tabbed:\n      alternate_style: true\n\n  # \u81ea\u5b9a\u4e49\u6269\u5c55\n  - custom_extension:\n      custom_option: value\n</code></pre>"},{"location":"Technology/mkdocs%20material/#344","title":"3.4.4 \u4f7f\u7528\u5efa\u8bae","text":"<ol> <li> <p>\u6027\u80fd\u8003\u8651\uff1a    - \u53ea\u542f\u7528\u9700\u8981\u7684\u6269\u5c55    - \u6ce8\u610f\u6269\u5c55\u4e4b\u95f4\u7684\u4f9d\u8d56\u5173\u7cfb    - \u63a7\u5236\u6269\u5c55\u6570\u91cf</p> </li> <li> <p>\u517c\u5bb9\u6027\uff1a    - \u6d4b\u8bd5\u6269\u5c55\u7ec4\u5408    - \u68c0\u67e5\u79fb\u52a8\u7aef\u663e\u793a    - \u9a8c\u8bc1\u4e0d\u540c\u6d4f\u89c8\u5668</p> </li> <li> <p>\u7ef4\u62a4\u5efa\u8bae\uff1a    - \u8bb0\u5f55\u6269\u5c55\u914d\u7f6e    - \u4fdd\u6301\u7248\u672c\u66f4\u65b0    - \u76d1\u63a7\u6027\u80fd\u5f71\u54cd</p> </li> </ol>"},{"location":"Technology/mkdocs%20material/#35","title":"3.5 \u63d2\u4ef6\u7cfb\u7edf","text":""},{"location":"Technology/mkdocs%20material/#351","title":"3.5.1 \u63d2\u4ef6\u914d\u7f6e\u65b9\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#3511","title":"3.5.1.1 \u63d2\u4ef6\u5b89\u88c5\u65b9\u6cd5","text":"<p>\u901a\u8fc7 pip \u5b89\u88c5\u63d2\u4ef6\uff1a</p> Bash<pre><code># \u5b89\u88c5\u5355\u4e2a\u63d2\u4ef6\npip install mkdocs-git-revision-date-localized-plugin\n\n# \u5b89\u88c5\u591a\u4e2a\u63d2\u4ef6\npip install mkdocs-minify-plugin mkdocs-git-authors-plugin\n</code></pre> <p>\u57fa\u7840\u63d2\u4ef6\u914d\u7f6e\uff1a</p> YAML<pre><code># mkdocs.yml\nplugins:\n  - search  # \u9ed8\u8ba4\u63d2\u4ef6\n  - git-revision-date-localized:\n      enable_creation_date: true\n  - minify:\n      minify_html: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3512","title":"3.5.1.2 \u914d\u7f6e\u8bed\u6cd5","text":"<p>\u63d2\u4ef6\u914d\u7f6e\u7684\u51e0\u79cd\u65b9\u5f0f\uff1a</p> YAML<pre><code># 1. \u7b80\u5355\u542f\u7528\u63d2\u4ef6\uff08\u4f7f\u7528\u9ed8\u8ba4\u914d\u7f6e\uff09\nplugins:\n  - search\n  - tags\n\n# 2. \u7981\u7528\u9ed8\u8ba4\u63d2\u4ef6\nplugins:\n  - search: false\n\n# 3. \u5e26\u914d\u7f6e\u7684\u63d2\u4ef6\nplugins:\n  - search:\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.]+'\n\n# 4. \u591a\u5b9e\u4f8b\u63d2\u4ef6\nplugins:\n  - search:\n      name: search_1\n      config: value\n  - search:\n      name: search_2\n      config: value\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3513","title":"3.5.1.3 \u4f18\u5148\u7ea7\u63a7\u5236","text":"<p>\u63d2\u4ef6\u6267\u884c\u987a\u5e8f\u63a7\u5236\uff1a</p> YAML<pre><code>plugins:\n  - search\n  - git-revision-date-localized:\n      priority: 80\n  - minify:\n      priority: 90\n  - tags:\n      priority: 70\n</code></pre>"},{"location":"Technology/mkdocs%20material/#352","title":"3.5.2 \u5e38\u7528\u63d2\u4ef6\u4ecb\u7ecd","text":""},{"location":"Technology/mkdocs%20material/#3521","title":"3.5.2.1 \u5b98\u65b9\u63d2\u4ef6","text":"<ol> <li>search - \u641c\u7d22\u63d2\u4ef6</li> </ol> YAML<pre><code>plugins:\n  - search:\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.]+'\n      min_search_length: 2\n      prebuild_index: true\n      indexing:\n        - full_sections: false\n        - headings: true\n        - content: true\n</code></pre> <ol> <li>tags - \u6807\u7b7e\u7cfb\u7edf</li> </ol> YAML<pre><code>plugins:\n  - tags:\n      tags_file: tags.md\n      tags_extra_files:\n        cloud: cloud_tags.md\n        list: tag_list.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3522","title":"3.5.2.2 \u793e\u533a\u63d2\u4ef6\u63a8\u8350","text":"<ol> <li>git-revision-date-localized - Git \u65e5\u671f\u4fe1\u606f</li> </ol> YAML<pre><code>plugins:\n  - git-revision-date-localized:\n      type: timeago\n      enable_creation_date: true\n      exclude:\n        - index.md\n      timezone: Asia/Shanghai\n      locale: zh\n</code></pre> <ol> <li>minify - \u6587\u4ef6\u538b\u7f29</li> </ol> YAML<pre><code>plugins:\n  - minify:\n      minify_html: true\n      minify_js: true\n      minify_css: true\n      htmlmin_opts:\n        remove_comments: true\n</code></pre> <ol> <li>social - \u793e\u4ea4\u5206\u4eab</li> </ol> YAML<pre><code>plugins:\n  - social:\n      cards: true\n      cards_color:\n        fill: \"#0FF1CE\"\n        text: \"#FFFFFF\"\n</code></pre> <ol> <li>macros - \u6a21\u677f\u5b8f</li> </ol> YAML<pre><code>plugins:\n  - macros:\n      module_name: macros\n      include_dir: include\n      include_yaml:\n        - variables.yml\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3523","title":"3.5.2.3 \u5b9e\u7528\u63d2\u4ef6\u96c6\u5408","text":"YAML<pre><code>plugins:\n  # \u6838\u5fc3\u529f\u80fd\n  - search\n  - tags\n\n  # \u7248\u672c\u63a7\u5236\n  - git-revision-date-localized\n  - git-authors\n\n  # \u6027\u80fd\u4f18\u5316\n  - minify\n  - optimize\n\n  # \u5185\u5bb9\u589e\u5f3a\n  - social\n  - macros\n  - blogging\n\n  # \u591a\u8bed\u8a00\u652f\u6301\n  - i18n\n  - translations\n\n  # \u56fe\u7247\u5904\u7406\n  - glightbox\n  - img2fig\n\n  # \u7edf\u8ba1\u5206\u6790\n  - statistics\n  - pdf-export\n</code></pre>"},{"location":"Technology/mkdocs%20material/#353","title":"3.5.3 \u63d2\u4ef6\u7ec4\u5408\u4f7f\u7528","text":""},{"location":"Technology/mkdocs%20material/#3531","title":"3.5.3.1 \u57fa\u7840\u7ec4\u5408\u65b9\u6848","text":"<p>\u9002\u5408\u4e00\u822c\u6587\u6863\u9879\u76ee\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      lang: zh\n      separator: '[\\s\\-\\.]+'\n\n  - git-revision-date-localized:\n      enable_creation_date: true\n      type: date\n\n  - minify:\n      minify_html: true\n\n  - glightbox:\n      touchNavigation: true\n      loop: false\n      effect: zoom\n      width: 100%\n      height: auto\n      zoomable: true\n      draggable: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3532","title":"3.5.3.2 \u535a\u5ba2\u7f51\u7ad9\u65b9\u6848","text":"<p>\u9002\u5408\u535a\u5ba2\u7c7b\u7f51\u7ad9\uff1a</p> YAML<pre><code>plugins:\n  - blog:\n      blog_dir: blog\n      post_url_format: \"{slug}\"\n      post_excerpt: optional\n\n  - social:\n      cards: true\n      cards_dir: assets/social\n\n  - tags:\n      tags_file: tags.md\n\n  - rss:\n      abstract_chars_count: 160\n      date_from_meta: true\n\n  - statistics:\n      page_check: true\n      page_count: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#3533","title":"3.5.3.3 \u6280\u672f\u6587\u6863\u65b9\u6848","text":"<p>\u9002\u5408\u5927\u578b\u6280\u672f\u6587\u6863\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      separator: '[\\s\\-\\.]+'\n      min_search_length: 2\n      lang:\n        - en\n        - zh\n      prebuild_index: true\n\n  - git-revision-date-localized:\n      type: timeago\n      enable_creation_date: true\n\n  - minify:\n      minify_html: true\n      minify_js: true\n      minify_css: true\n\n  - macros:\n      module_name: includes.macros\n      include_yaml:\n        - includes/variables.yml\n\n  - pdf-export:\n      combined: true\n      combined_output_path: pdf/document.pdf\n</code></pre>"},{"location":"Technology/mkdocs%20material/#354","title":"3.5.4 \u6027\u80fd\u4f18\u5316\u5efa\u8bae","text":"<ol> <li> <p>\u63d2\u4ef6\u9009\u62e9\uff1a    - \u53ea\u542f\u7528\u5fc5\u8981\u7684\u63d2\u4ef6    - \u907f\u514d\u529f\u80fd\u91cd\u590d\u7684\u63d2\u4ef6    - \u6ce8\u610f\u63d2\u4ef6\u95f4\u7684\u4f9d\u8d56\u5173\u7cfb</p> </li> <li> <p>\u914d\u7f6e\u4f18\u5316\uff1a</p> </li> </ol> YAML<pre><code>plugins:\n  - search:\n      prebuild_index: true  # \u9884\u6784\u5efa\u7d22\u5f15\n  - minify:\n      cache: true          # \u542f\u7528\u7f13\u5b58\n      cache_dir: .cache    # \u7f13\u5b58\u76ee\u5f55\n  - optimize:              # \u8d44\u6e90\u4f18\u5316\n      cache: true\n</code></pre> <ol> <li>\u6784\u5efa\u4f18\u5316\uff1a</li> </ol> YAML<pre><code>plugins:\n  # \u5e76\u884c\u5904\u7406\u63d2\u4ef6\n  - parallel:\n      workers: 4\n  # \u7f13\u5b58\u63d2\u4ef6\n  - cache:\n      enabled: true\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4-material","title":"4 Material \u4e3b\u9898\u5b8c\u5168\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#41","title":"4.1 \u57fa\u7840\u5916\u89c2","text":""},{"location":"Technology/mkdocs%20material/#411","title":"4.1.1 \u914d\u8272\u65b9\u6848","text":""},{"location":"Technology/mkdocs%20material/#4111","title":"4.1.1.1 \u9884\u8bbe\u4e3b\u9898\u8272","text":"<p>Material \u4e3b\u9898\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u9884\u8bbe\u989c\u8272\uff1a</p> YAML<pre><code>theme:\n  name: material\n  palette:\n    primary: indigo    # \u4e3b\u8272\u8c03\n    accent: pink      # \u5f3a\u8c03\u8272\n\n# \u53ef\u7528\u7684\u4e3b\u9898\u8272\uff1a\n# red, pink, purple, deep purple, indigo, blue, light blue, \n# cyan, teal, green, light green, lime, yellow, amber, \n# orange, deep orange, brown, grey, blue grey\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4112","title":"4.1.1.2 \u81ea\u5b9a\u4e49\u914d\u8272","text":"<p>\u5b8c\u6574\u7684\u81ea\u5b9a\u4e49\u914d\u8272\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  palette:\n    # \u4eae\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n\n    # \u6697\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4113-css","title":"4.1.1.3 \u81ea\u5b9a\u4e49 CSS \u53d8\u91cf","text":"<p>\u521b\u5efa <code>docs/stylesheets/extra.css</code>\uff1a</p> CSS<pre><code>:root {\n  --md-primary-fg-color:        #2196f3;\n  --md-primary-fg-color--light: #64b5f6;\n  --md-primary-fg-color--dark:  #1976d2;\n  --md-accent-fg-color:         #2196f3;\n}\n\n[data-md-color-scheme=\"slate\"] {\n  --md-primary-fg-color:        #90caf9;\n  --md-primary-fg-color--light: #e3f2fd;\n  --md-primary-fg-color--dark:  #42a5f5;\n}\n</code></pre> <p>\u5728 <code>mkdocs.yml</code> \u4e2d\u5f15\u5165\uff1a</p> YAML<pre><code>extra_css:\n  - stylesheets/extra.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#412","title":"4.1.2 \u4e3b\u9898\u5207\u6362","text":""},{"location":"Technology/mkdocs%20material/#4121","title":"4.1.2.1 \u57fa\u7840\u5207\u6362\u914d\u7f6e","text":"YAML<pre><code>theme:\n  name: material\n  palette:\n    # \u914d\u7f6e\u5207\u6362\u6309\u94ae\n    - scheme: default\n      toggle:\n        icon: material/brightness-7 \n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n      primary: indigo\n      accent: indigo\n\n    - scheme: slate\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n      primary: indigo\n      accent: indigo\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4122","title":"4.1.2.2 \u9ad8\u7ea7\u5207\u6362\u529f\u80fd","text":"<p>\u6dfb\u52a0\u81ea\u5b9a\u4e49\u5207\u6362\u903b\u8f91\uff1a</p> YAML<pre><code>extra_javascript:\n  - javascripts/theme-switch.js\n</code></pre> <p><code>theme-switch.js</code> \u5185\u5bb9\uff1a</p> JavaScript<pre><code>document.addEventListener('DOMContentLoaded', function() {\n  // \u83b7\u53d6\u7cfb\u7edf\u4e3b\u9898\u504f\u597d\n  const prefersDark = window.matchMedia('(prefers-color-scheme: dark)');\n\n  // \u76d1\u542c\u7cfb\u7edf\u4e3b\u9898\u53d8\u5316\n  prefersDark.addListener((e) =&gt; {\n    const theme = e.matches ? 'slate' : 'default';\n    document.body.setAttribute('data-md-color-scheme', theme);\n  });\n\n  // \u521d\u59cb\u5316\u4e3b\u9898\n  const theme = prefersDark.matches ? 'slate' : 'default';\n  document.body.setAttribute('data-md-color-scheme', theme);\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#413","title":"4.1.3 \u56fe\u6807\u8bbe\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#4131","title":"4.1.3.1 \u7f51\u7ad9\u56fe\u6807","text":"<p>\u914d\u7f6e\u7f51\u7ad9\u56fe\u6807\u548c Logo\uff1a</p> YAML<pre><code>theme:\n  icon:\n    logo: material/book-open-page-variant  # \u7f51\u7ad9 Logo\n    repo: fontawesome/brands/github        # \u4ed3\u5e93\u56fe\u6807\n\n  favicon: assets/favicon.png              # \u7f51\u7ad9\u56fe\u6807\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4132","title":"4.1.3.2 \u529f\u80fd\u56fe\u6807","text":"<p>\u4e3a\u4e0d\u540c\u529f\u80fd\u914d\u7f6e\u56fe\u6807\uff1a</p> YAML<pre><code>theme:\n  icon:\n    repo: fontawesome/brands/github      # \u4ed3\u5e93\u56fe\u6807\n    edit: material/pencil                # \u7f16\u8f91\u56fe\u6807\n    view: material/eye                   # \u67e5\u770b\u56fe\u6807\n    admonition:\n      note: octicons/tag-16             # \u63d0\u793a\u6846\u56fe\u6807\n      abstract: octicons/checklist-16\n      info: octicons/info-16\n      tip: octicons/squirrel-16\n      success: octicons/check-16\n      question: octicons/question-16\n      warning: octicons/alert-16\n      failure: octicons/x-circle-16\n      danger: octicons/zap-16\n      bug: octicons/bug-16\n      example: octicons/beaker-16\n      quote: octicons/quote-16\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4133-svg","title":"4.1.3.3 \u81ea\u5b9a\u4e49 SVG \u56fe\u6807","text":"<p>\u6dfb\u52a0\u81ea\u5b9a\u4e49 SVG \u56fe\u6807\uff1a</p> <ol> <li>\u521b\u5efa <code>.icons</code> \u76ee\u5f55\uff1a</li> </ol> Text Only<pre><code>.\n\u251c\u2500 .icons/\n\u2502  \u2514\u2500 custom/\n\u2502     \u2514\u2500 logo.svg\n\u2514\u2500 mkdocs.yml\n</code></pre> <ol> <li>\u914d\u7f6e\u4f7f\u7528\uff1a</li> </ol> YAML<pre><code>theme:\n  icon:\n    logo: custom/logo\n</code></pre>"},{"location":"Technology/mkdocs%20material/#414-logo","title":"4.1.4 Logo \u8bbe\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#4141-logo","title":"4.1.4.1 \u57fa\u7840 Logo \u914d\u7f6e","text":"YAML<pre><code>theme:\n  logo: assets/logo.svg        # Logo \u56fe\u7247\n  icon:\n    logo: material/book        # \u6216\u4f7f\u7528\u56fe\u6807\u4f5c\u4e3a Logo\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4142-logo","title":"4.1.4.2 \u54cd\u5e94\u5f0f Logo","text":"<p>\u521b\u5efa\u54cd\u5e94\u5f0f Logo\uff1a</p> YAML<pre><code>theme:\n  logo: assets/logo.svg\nextra_css:\n  - stylesheets/logo.css\n</code></pre> <p><code>logo.css</code> \u5185\u5bb9\uff1a</p> CSS<pre><code>/* \u9ed8\u8ba4 Logo */\n.md-logo img {\n  width: 40px;\n  height: 40px;\n}\n\n/* \u79fb\u52a8\u7aef Logo */\n@media screen and (max-width: 76.1875em) {\n  .md-logo img {\n    width: 32px;\n    height: 32px;\n  }\n}\n\n/* \u6697\u8272\u4e3b\u9898 Logo */\n[data-md-color-scheme=\"slate\"] .md-logo img {\n  filter: invert(1);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4143-logo","title":"4.1.4.3 Logo \u52a8\u753b\u6548\u679c","text":"<p>\u6dfb\u52a0 Logo \u52a8\u753b\uff1a</p> CSS<pre><code>.md-logo img {\n  transition: transform 0.3s ease;\n}\n\n.md-logo img:hover {\n  transform: scale(1.1);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#415","title":"4.1.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  name: material\n\n  # \u8c03\u8272\u677f\u914d\u7f6e\n  palette:\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: blue\n      accent: blue\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n\n  # \u56fe\u6807\u914d\u7f6e\n  icon:\n    logo: material/book-open-page-variant\n    repo: fontawesome/brands/github\n    edit: material/pencil\n    view: material/eye\n\n  # Logo \u914d\u7f6e\n  logo: assets/logo.svg\n  favicon: assets/favicon.png\n\n# \u989d\u5916\u6837\u5f0f\nextra_css:\n  - stylesheets/extra.css\n  - stylesheets/logo.css\n\n# \u989d\u5916\u811a\u672c\nextra_javascript:\n  - javascripts/theme-switch.js\n\n# \u4e3b\u9898\u7279\u6027\nfeatures:\n  - navigation.instant\n  - navigation.tracking\n  - navigation.tabs\n  - navigation.sections\n  - navigation.expand\n  - navigation.top\n  - toc.integrate\n</code></pre>"},{"location":"Technology/mkdocs%20material/#42","title":"4.2 \u5bfc\u822a\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#421","title":"4.2.1 \u9876\u90e8\u5bfc\u822a","text":""},{"location":"Technology/mkdocs%20material/#4211","title":"4.2.1.1 \u5bfc\u822a\u680f\u6837\u5f0f","text":"<p>\u57fa\u7840\u5bfc\u822a\u680f\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  features:\n    - navigation.tabs        # \u542f\u7528\u6807\u7b7e\u5f0f\u5bfc\u822a\n    - navigation.sections    # \u663e\u793a\u7ae0\u8282\u5bfc\u822a\n    - navigation.expand     # \u5c55\u5f00\u5bfc\u822a\n    - navigation.indexes    # \u7ae0\u8282\u7d22\u5f15\u9875\n</code></pre> <p>\u81ea\u5b9a\u4e49\u5bfc\u822a\u680f\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/extra.css */\n\n/* \u5bfc\u822a\u680f\u80cc\u666f */\n.md-header {\n  background-color: #2196f3;\n  box-shadow: 0 2px 4px rgba(0,0,0,.14);\n}\n\n/* \u5bfc\u822a\u9879\u6837\u5f0f */\n.md-tabs__link {\n  font-size: .8rem;\n  margin-top: .4rem;\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.md-tabs__link--active {\n  font-weight: bold;\n  border-bottom: 2px solid currentColor;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4212","title":"4.2.1.2 \u56fa\u5b9a\u5bfc\u822a\u680f","text":"<p>\u542f\u7528\u56fa\u5b9a\u5bfc\u822a\uff1a</p> YAML<pre><code>theme:\n  features:\n    - header.autohide       # \u81ea\u52a8\u9690\u85cf\n    - navigation.sticky    # \u56fa\u5b9a\u5bfc\u822a\n</code></pre> <p>\u81ea\u5b9a\u4e49\u56fa\u5b9a\u5bfc\u822a\u884c\u4e3a\uff1a</p> CSS<pre><code>/* \u56fa\u5b9a\u5bfc\u822a\u680f\u6837\u5f0f */\n.md-header--sticky {\n  backdrop-filter: blur(8px);\n  background-color: rgba(255,255,255,.8);\n}\n\n/* \u6697\u8272\u4e3b\u9898 */\n[data-md-color-scheme=\"slate\"] .md-header--sticky {\n  background-color: rgba(0,0,0,.8);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4213","title":"4.2.1.3 \u54cd\u5e94\u5f0f\u5bfc\u822a","text":"<p>\u54cd\u5e94\u5f0f\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  features:\n    - navigation.instant    # \u5373\u65f6\u52a0\u8f7d\n    - navigation.tracking   # \u6eda\u52a8\u8ddf\u8e2a\n</code></pre> <p>\u54cd\u5e94\u5f0f\u6837\u5f0f\u8c03\u6574\uff1a</p> CSS<pre><code>/* \u79fb\u52a8\u7aef\u5bfc\u822a */\n@media screen and (max-width: 76.1875em) {\n  .md-nav__title {\n    font-size: .9rem;\n    padding: 0.5rem 0.8rem;\n  }\n\n  .md-nav__item {\n    padding: 0.2rem 0.8rem;\n  }\n}\n\n/* \u5e73\u677f\u5bfc\u822a */\n@media screen and (min-width: 76.25em) {\n  .md-nav__link {\n    padding: 0.2rem 0;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#422","title":"4.2.2 \u6807\u7b7e\u5bfc\u822a","text":""},{"location":"Technology/mkdocs%20material/#4221","title":"4.2.2.1 \u6807\u7b7e\u9875\u914d\u7f6e","text":"<p>\u542f\u7528\u6807\u7b7e\u5bfc\u822a\uff1a</p> YAML<pre><code>theme:\n  features:\n    - navigation.tabs\n    - navigation.tabs.sticky  # \u56fa\u5b9a\u6807\u7b7e\n</code></pre> <p>\u6807\u7b7e\u9875\u7ed3\u6784\uff1a</p> YAML<pre><code>nav:\n  - Home: index.md\n  - Guide:\n    - guide/index.md\n    - Installation: guide/installation.md\n    - Configuration: guide/configuration.md\n  - API:\n    - api/index.md\n    - Reference: api/reference.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4222","title":"4.2.2.2 \u6807\u7b7e\u6837\u5f0f","text":"<p>\u81ea\u5b9a\u4e49\u6807\u7b7e\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u6807\u7b7e\u5bb9\u5668 */\n.md-tabs {\n  background-color: var(--md-primary-fg-color--dark);\n}\n\n/* \u6807\u7b7e\u9879 */\n.md-tabs__item {\n  padding: 0 1rem;\n  transition: all 0.2s ease;\n}\n\n/* \u60ac\u505c\u6548\u679c */\n.md-tabs__item:hover {\n  background-color: rgba(255,255,255,.1);\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.md-tabs__item--active {\n  font-weight: bold;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4223","title":"4.2.2.3 \u6807\u7b7e\u4ea4\u4e92","text":"<p>\u6dfb\u52a0\u6807\u7b7e\u4ea4\u4e92\u6548\u679c\uff1a</p> JavaScript<pre><code>// docs/javascripts/tabs.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  // \u6807\u7b7e\u70b9\u51fb\u6548\u679c\n  const tabs = document.querySelectorAll('.md-tabs__item');\n  tabs.forEach(tab =&gt; {\n    tab.addEventListener('click', () =&gt; {\n      // \u6dfb\u52a0\u70b9\u51fb\u6ce2\u7eb9\u6548\u679c\n      const ripple = document.createElement('div');\n      ripple.classList.add('md-tabs__ripple');\n      tab.appendChild(ripple);\n\n      // \u79fb\u9664\u6ce2\u7eb9\u6548\u679c\n      setTimeout(() =&gt; ripple.remove(), 1000);\n    });\n  });\n});\n</code></pre> <p>\u5bf9\u5e94\u7684 CSS\uff1a</p> CSS<pre><code>/* \u6ce2\u7eb9\u6548\u679c */\n.md-tabs__ripple {\n  position: absolute;\n  background: rgba(255,255,255,.3);\n  border-radius: 50%;\n  transform: scale(0);\n  animation: ripple 0.6s linear;\n}\n\n@keyframes ripple {\n  to {\n    transform: scale(4);\n    opacity: 0;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#423","title":"4.2.3 \u76ee\u5f55\u5bfc\u822a","text":""},{"location":"Technology/mkdocs%20material/#4231","title":"4.2.3.1 \u76ee\u5f55\u5c42\u7ea7","text":"<p>\u914d\u7f6e\u76ee\u5f55\u5c42\u7ea7\uff1a</p> YAML<pre><code>theme:\n  features:\n    - toc.integrate    # \u96c6\u6210\u76ee\u5f55\n    - toc.follow      # \u76ee\u5f55\u8ddf\u968f\n\nmarkdown_extensions:\n  - toc:\n      permalink: true    # \u6c38\u4e45\u94fe\u63a5\n      toc_depth: 3      # \u76ee\u5f55\u6df1\u5ea6\n      title: \u76ee\u5f55       # \u76ee\u5f55\u6807\u9898\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4232","title":"4.2.3.2 \u76ee\u5f55\u6837\u5f0f","text":"<p>\u81ea\u5b9a\u4e49\u76ee\u5f55\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u76ee\u5f55\u5bb9\u5668 */\n.md-toc {\n  padding: 1rem;\n  background-color: var(--md-code-bg-color);\n  border-radius: 4px;\n}\n\n/* \u76ee\u5f55\u6807\u9898 */\n.md-toc__title {\n  font-weight: bold;\n  margin-bottom: 1rem;\n}\n\n/* \u76ee\u5f55\u94fe\u63a5 */\n.md-toc__link {\n  color: var(--md-typeset-color);\n  text-decoration: none;\n}\n\n/* \u76ee\u5f55\u5c42\u7ea7\u7f29\u8fdb */\n.md-toc__list {\n  margin-left: 1.5em;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4233","title":"4.2.3.3 \u951a\u70b9\u94fe\u63a5","text":"<p>\u914d\u7f6e\u951a\u70b9\u94fe\u63a5\uff1a</p> YAML<pre><code>markdown_extensions:\n  - toc:\n      permalink: \u2693\ufe0e    # \u951a\u70b9\u7b26\u53f7\n      slug: !!python/object/apply:pymdownx.slugs.slugify\n        kwds: {case: lower}  # URL \u8f6c\u6362\u89c4\u5219\n</code></pre> <p>\u81ea\u5b9a\u4e49\u951a\u70b9\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u951a\u70b9\u94fe\u63a5 */\n.headerlink {\n  opacity: 0;\n  margin-left: .5em;\n  transition: opacity 0.2s ease;\n}\n\n/* \u6807\u9898\u60ac\u505c\u65f6\u663e\u793a\u951a\u70b9 */\nh1:hover .headerlink,\nh2:hover .headerlink,\nh3:hover .headerlink {\n  opacity: 1;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#424","title":"4.2.4 \u8fd4\u56de\u9876\u90e8","text":""},{"location":"Technology/mkdocs%20material/#4241","title":"4.2.4.1 \u6309\u94ae\u6837\u5f0f","text":"<p>\u542f\u7528\u8fd4\u56de\u9876\u90e8\u6309\u94ae\uff1a</p> YAML<pre><code>theme:\n  features:\n    - navigation.top    # \u8fd4\u56de\u9876\u90e8\u6309\u94ae\n</code></pre> <p>\u81ea\u5b9a\u4e49\u6309\u94ae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u8fd4\u56de\u9876\u90e8\u6309\u94ae */\n.md-top {\n  background-color: var(--md-primary-fg-color);\n  border-radius: 50%;\n  box-shadow: 0 2px 4px rgba(0,0,0,.14);\n  transition: all 0.2s ease;\n}\n\n/* \u60ac\u505c\u6548\u679c */\n.md-top:hover {\n  background-color: var(--md-primary-fg-color--dark);\n  transform: translateY(-2px);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4242","title":"4.2.4.2 \u6eda\u52a8\u884c\u4e3a","text":"<p>\u81ea\u5b9a\u4e49\u6eda\u52a8\u884c\u4e3a\uff1a</p> JavaScript<pre><code>// docs/javascripts/scroll.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const topButton = document.querySelector('.md-top');\n\n  // \u5e73\u6ed1\u6eda\u52a8\n  if (topButton) {\n    topButton.addEventListener('click', (e) =&gt; {\n      e.preventDefault();\n      window.scrollTo({\n        top: 0,\n        behavior: 'smooth'\n      });\n    });\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4243","title":"4.2.4.3 \u663e\u793a\u63a7\u5236","text":"<p>\u914d\u7f6e\u663e\u793a\u903b\u8f91\uff1a</p> JavaScript<pre><code>// \u63a7\u5236\u6309\u94ae\u663e\u793a\nwindow.addEventListener('scroll', () =&gt; {\n  const topButton = document.querySelector('.md-top');\n  if (topButton) {\n    if (window.scrollY &gt; 100) {\n      topButton.classList.add('md-top--show');\n    } else {\n      topButton.classList.remove('md-top--show');\n    }\n  }\n});\n</code></pre> <p>\u6837\u5f0f\u63a7\u5236\uff1a</p> CSS<pre><code>/* \u6309\u94ae\u663e\u793a\u9690\u85cf */\n.md-top {\n  opacity: 0;\n  visibility: hidden;\n  transition: opacity 0.2s ease, visibility 0.2s ease;\n}\n\n.md-top--show {\n  opacity: 1;\n  visibility: visible;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#425","title":"4.2.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  name: material\n  features:\n    # \u5bfc\u822a\u529f\u80fd\n    - navigation.tabs\n    - navigation.tabs.sticky\n    - navigation.sections\n    - navigation.expand\n    - navigation.indexes\n    - navigation.instant\n    - navigation.tracking\n    - navigation.sticky\n    - header.autohide\n\n    # \u76ee\u5f55\u529f\u80fd\n    - toc.integrate\n    - toc.follow\n\n    # \u8fd4\u56de\u9876\u90e8\n    - navigation.top\n\n# Markdown \u6269\u5c55\nmarkdown_extensions:\n  - toc:\n      permalink: true\n      toc_depth: 3\n      title: \u76ee\u5f55\n      slugify: !!python/object/apply:pymdownx.slugs.slugify\n        kwds: {case: lower}\n\n# \u989d\u5916\u6837\u5f0f\u548c\u811a\u672c\nextra_css:\n  - stylesheets/extra.css\n\nextra_javascript:\n  - javascripts/tabs.js\n  - javascripts/scroll.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#43","title":"4.3 \u641c\u7d22\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#431","title":"4.3.1 \u641c\u7d22\u5f15\u64ce\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#4311","title":"4.3.1.1 \u641c\u7d22\u7b97\u6cd5","text":"<p>\u57fa\u7840\u641c\u7d22\u914d\u7f6e\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      separator: '[\\\\s\\\\-\\\\.]+'   # \u5206\u8bcd\u5206\u9694\u7b26\n      min_search_length: 2        # \u6700\u5c0f\u641c\u7d22\u957f\u5ea6\n      lang:\n        - en\n        - zh\n      prebuild_index: true        # \u9884\u6784\u5efa\u7d22\u5f15\n</code></pre> <p>\u9ad8\u7ea7\u641c\u7d22\u9009\u9879\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      separator: '[\\\\s\\\\-\\\\.]+\\\\s*'\n      min_search_length: 2\n      prebuild_index: python\n      indexing:\n        full_sections: true       # \u7d22\u5f15\u5b8c\u6574\u7ae0\u8282\n        headings: true           # \u7d22\u5f15\u6807\u9898\n        content: true           # \u7d22\u5f15\u5185\u5bb9\n        tags: true             # \u7d22\u5f15\u6807\u7b7e\n      scoring:\n        title_boost: 10        # \u6807\u9898\u6743\u91cd\n        heading_boost: 5       # \u6807\u9898\u6743\u91cd\n        content_boost: 1       # \u5185\u5bb9\u6743\u91cd\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4312","title":"4.3.1.2 \u7d22\u5f15\u914d\u7f6e","text":"<p>\u81ea\u5b9a\u4e49\u7d22\u5f15\u8bbe\u7f6e\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      indexing:\n        full_sections: true\n        headings: true\n        content: true\n        tags: true\n        attachments: true          # \u7d22\u5f15\u9644\u4ef6\n        attachments_types:         # \u9644\u4ef6\u7c7b\u578b\n          - .pdf\n          - .doc\n          - .docx\n        attachments_max_size: 2048 # \u6700\u5927\u5927\u5c0f(KB)\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4313","title":"4.3.1.3 \u641c\u7d22\u8303\u56f4","text":"<p>\u914d\u7f6e\u641c\u7d22\u8303\u56f4\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      # \u5305\u542b\u7684\u6587\u4ef6\n      include:\n        - \"*.md\"\n        - \"*.markdown\"\n\n      # \u6392\u9664\u7684\u6587\u4ef6\n      exclude:\n        - drafts/*\n        - private/*\n\n      # \u5904\u7406\u7279\u5b9a\u8def\u5f84\n      ignore:\n        - 404.md\n        - index.md\n</code></pre>"},{"location":"Technology/mkdocs%20material/#432","title":"4.3.2 \u641c\u7d22\u63d0\u793a","text":""},{"location":"Technology/mkdocs%20material/#4321","title":"4.3.2.1 \u5feb\u6377\u952e\u8bbe\u7f6e","text":"<p>\u914d\u7f6e\u641c\u7d22\u5feb\u6377\u952e\uff1a</p> YAML<pre><code>theme:\n  keyboard:\n    search: s, /        # \u4f7f\u7528 's' \u6216 '/' \u89e6\u53d1\u641c\u7d22\n</code></pre> <p>\u81ea\u5b9a\u4e49\u5feb\u6377\u952e\u5904\u7406\uff1a</p> JavaScript<pre><code>// docs/javascripts/search.js\n\ndocument.addEventListener('keydown', function(e) {\n  // \u81ea\u5b9a\u4e49\u5feb\u6377\u952e\u903b\u8f91\n  if ((e.key === 's' || e.key === '/') &amp;&amp; !e.ctrlKey &amp;&amp; !e.altKey &amp;&amp; !e.metaKey) {\n    e.preventDefault();\n    const search = document.querySelector('.md-search__input');\n    if (search) {\n      search.focus();\n    }\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4322","title":"4.3.2.2 \u63d0\u793a\u6587\u672c","text":"<p>\u81ea\u5b9a\u4e49\u641c\u7d22\u63d0\u793a\uff1a</p> YAML<pre><code>theme:\n  language: zh         # \u4f7f\u7528\u4e2d\u6587\u754c\u9762\n\nextra:\n  search:\n    language: zh\n    text:\n      placeholder: \u641c\u7d22\u6587\u6863...\n      no_results: \u6ca1\u6709\u627e\u5230\u76f8\u5173\u7ed3\u679c\n      searching: \u6b63\u5728\u641c\u7d22...\n</code></pre> <p>\u81ea\u5b9a\u4e49\u63d0\u793a\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/search.css */\n\n/* \u641c\u7d22\u6846\u63d0\u793a\u6587\u672c */\n.md-search__input::placeholder {\n  color: var(--md-default-fg-color--lighter);\n}\n\n/* \u65e0\u7ed3\u679c\u63d0\u793a */\n.md-search-result__meta {\n  color: var(--md-default-fg-color--light);\n  font-size: .8rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4323","title":"4.3.2.3 \u8f93\u5165\u5efa\u8bae","text":"<p>\u914d\u7f6e\u641c\u7d22\u5efa\u8bae\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      suggestions: true          # \u542f\u7528\u641c\u7d22\u5efa\u8bae\n      suggestions_min_length: 2  # \u6700\u5c0f\u5efa\u8bae\u957f\u5ea6\n</code></pre> <p>\u81ea\u5b9a\u4e49\u5efa\u8bae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u641c\u7d22\u5efa\u8bae\u6837\u5f0f */\n.md-search-result__item {\n  padding: .4rem .8rem;\n  transition: background .2s ease;\n}\n\n.md-search-result__item:hover {\n  background-color: var(--md-code-bg-color);\n}\n\n/* \u5efa\u8bae\u9879\u56fe\u6807 */\n.md-search-result__icon {\n  color: var(--md-default-fg-color--lighter);\n  margin-right: .4rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#433","title":"4.3.3 \u641c\u7d22\u9ad8\u4eae","text":""},{"location":"Technology/mkdocs%20material/#4331","title":"4.3.3.1 \u9ad8\u4eae\u6837\u5f0f","text":"<p>\u914d\u7f6e\u641c\u7d22\u9ad8\u4eae\uff1a</p> YAML<pre><code>theme:\n  features:\n    - search.highlight      # \u542f\u7528\u641c\u7d22\u9ad8\u4eae\n    - search.share         # \u542f\u7528\u641c\u7d22\u5206\u4eab\n    - search.suggest       # \u542f\u7528\u641c\u7d22\u5efa\u8bae\n</code></pre> <p>\u81ea\u5b9a\u4e49\u9ad8\u4eae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u641c\u7d22\u7ed3\u679c\u9ad8\u4eae */\n.md-search-result__item mark {\n  background-color: var(--md-accent-fg-color--transparent);\n  color: var(--md-accent-fg-color);\n  padding: 0 .2em;\n  border-radius: .1em;\n}\n\n/* \u6eda\u52a8\u6761\u6837\u5f0f */\n.md-search-result__scrollwrap::-webkit-scrollbar {\n  width: 4px;\n  height: 4px;\n}\n\n.md-search-result__scrollwrap::-webkit-scrollbar-thumb {\n  background-color: var(--md-default-fg-color--lighter);\n  border-radius: 2px;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4332","title":"4.3.3.2 \u5339\u914d\u89c4\u5219","text":"<p>\u914d\u7f6e\u641c\u7d22\u5339\u914d\u89c4\u5219\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      # \u6587\u672c\u5339\u914d\u914d\u7f6e\n      tokenizer: '[\\s\\-\\.]+'   # \u5206\u8bcd\u89c4\u5219\n      min_search_length: 2     # \u6700\u5c0f\u641c\u7d22\u957f\u5ea6\n\n      # \u6a21\u7cca\u5339\u914d\u8bbe\u7f6e\n      fuzzy: false            # \u7981\u7528\u6a21\u7cca\u5339\u914d\n\n      # \u5339\u914d\u6743\u91cd\n      boost: \n        title: 10            # \u6807\u9898\u6743\u91cd\n        text: 1              # \u6587\u672c\u6743\u91cd\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4333","title":"4.3.3.3 \u81ea\u5b9a\u4e49\u9ad8\u4eae","text":"<p>\u5b9e\u73b0\u81ea\u5b9a\u4e49\u9ad8\u4eae\u903b\u8f91\uff1a</p> JavaScript<pre><code>// docs/javascripts/search-highlight.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  // \u83b7\u53d6\u641c\u7d22\u7ed3\u679c\u5bb9\u5668\n  const searchResults = document.querySelector('.md-search-result');\n\n  if (searchResults) {\n    // \u76d1\u542c\u641c\u7d22\u7ed3\u679c\u53d8\u5316\n    const observer = new MutationObserver(mutations =&gt; {\n      mutations.forEach(mutation =&gt; {\n        if (mutation.type === 'childList') {\n          // \u5904\u7406\u65b0\u6dfb\u52a0\u7684\u641c\u7d22\u7ed3\u679c\n          const newResults = mutation.addedNodes;\n          newResults.forEach(node =&gt; {\n            if (node.nodeType === 1) {  // \u5143\u7d20\u8282\u70b9\n              customHighlight(node);\n            }\n          });\n        }\n      });\n    });\n\n    // \u542f\u52a8\u89c2\u5bdf\n    observer.observe(searchResults, {\n      childList: true,\n      subtree: true\n    });\n  }\n});\n\nfunction customHighlight(node) {\n  // \u81ea\u5b9a\u4e49\u9ad8\u4eae\u903b\u8f91\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#434","title":"4.3.4 \u641c\u7d22\u8bed\u8a00","text":""},{"location":"Technology/mkdocs%20material/#4341","title":"4.3.4.1 \u4e2d\u6587\u5206\u8bcd","text":"<p>\u914d\u7f6e\u4e2d\u6587\u5206\u8bcd\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      lang:\n        - en\n        - zh\n      separator: '[\\s\\-\\.,\\!\\/\\?\\u2000-\\u206F\\u3000-\\u303F\\u3040-\\u309F\\u30A0-\\u30FF\\u3100-\\u312F\\u3200-\\u32FF\\u3400-\\u4DBF\\u4E00-\\u9FFF]+'\n</code></pre> <p>\u4e2d\u6587\u641c\u7d22\u4f18\u5316\uff1a</p> JavaScript<pre><code>// docs/javascripts/chinese-search.js\n\nfunction chineseSegment(text) {\n  // \u7b80\u5355\u7684\u4e2d\u6587\u5206\u8bcd\u903b\u8f91\n  return text.replace(/[\\u4e00-\\u9fa5]/g, function(char) {\n    return char + ' ';\n  });\n}\n\n// \u6dfb\u52a0\u5230\u641c\u7d22\u5904\u7406\u6d41\u7a0b\ndocument.addEventListener('DOMContentLoaded', function() {\n  const searchInput = document.querySelector('.md-search__input');\n  if (searchInput) {\n    searchInput.addEventListener('input', function(e) {\n      const value = e.target.value;\n      if (/[\\u4e00-\\u9fa5]/.test(value)) {\n        // \u5904\u7406\u4e2d\u6587\u8f93\u5165\n        const segmented = chineseSegment(value);\n        // TODO: \u4f7f\u7528\u5206\u8bcd\u7ed3\u679c\u8fdb\u884c\u641c\u7d22\n      }\n    });\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4342","title":"4.3.4.2 \u591a\u8bed\u8a00\u652f\u6301","text":"<p>\u914d\u7f6e\u591a\u8bed\u8a00\u641c\u7d22\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      lang:\n        - en\n        - zh\n        - ja\n      # \u8bed\u8a00\u7279\u5b9a\u7684\u5206\u8bcd\u89c4\u5219\n      separator:\n        en: '[\\\\s\\\\-\\\\.]+'\n        zh: '[\\u4e00-\\u9fa5]'\n        ja: '[\\u3040-\\u309F\\u30A0-\\u30FF]+'\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4343","title":"4.3.4.3 \u505c\u7528\u8bcd\u914d\u7f6e","text":"<p>\u914d\u7f6e\u505c\u7528\u8bcd\uff1a</p> YAML<pre><code>plugins:\n  - search:\n      stopwords: \n        en:\n          - a\n          - an\n          - the\n          - in\n          - on\n          - at\n        zh:\n          - \u7684\n          - \u4e86\n          - \u548c\n          - \u4e0e\n          - \u6216\n</code></pre> <p>\u81ea\u5b9a\u4e49\u505c\u7528\u8bcd\u5904\u7406\uff1a</p> JavaScript<pre><code>// docs/javascripts/stopwords.js\n\nconst stopwords = {\n  en: ['a', 'an', 'the', 'in', 'on', 'at'],\n  zh: ['\u7684', '\u4e86', '\u548c', '\u4e0e', '\u6216'],\n};\n\nfunction removeStopwords(text, lang) {\n  if (!stopwords[lang]) return text;\n\n  const words = text.split(/\\s+/);\n  return words\n    .filter(word =&gt; !stopwords[lang].includes(word))\n    .join(' ');\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#435","title":"4.3.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\n\nplugins:\n  - search:\n      lang:\n        - en\n        - zh\n      separator: '[\\s\\-\\.,\\!\\/\\?\\u2000-\\u206F\\u3000-\\u303F]+'\n      prebuild_index: python\n      indexing:\n        full_sections: true\n        headings: true\n        content: true\n        tags: true\n      scoring:\n        title_boost: 10\n        heading_boost: 5\n        content_boost: 1\n\ntheme:\n  features:\n    - search.highlight\n    - search.share\n    - search.suggest\n\nextra:\n  search:\n    language: zh\n    text:\n      placeholder: \u641c\u7d22\u6587\u6863...\n      no_results: \u6ca1\u6709\u627e\u5230\u76f8\u5173\u7ed3\u679c\n      searching: \u6b63\u5728\u641c\u7d22...\n\nextra_javascript:\n  - javascripts/search.js\n  - javascripts/search-highlight.js\n  - javascripts/chinese-search.js\n  - javascripts/stopwords.js\n\nextra_css:\n  - stylesheets/search.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#44","title":"4.4 \u4ee3\u7801\u5757\u8bbe\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#441","title":"4.4.1 \u8bed\u6cd5\u9ad8\u4eae","text":""},{"location":"Technology/mkdocs%20material/#4411","title":"4.4.1.1 \u9ad8\u4eae\u4e3b\u9898","text":"<p>\u57fa\u7840\u9ad8\u4eae\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  features:\n    - content.code.annotate # \u542f\u7528\u4ee3\u7801\u6ce8\u91ca\n    - content.code.copy    # \u542f\u7528\u4ee3\u7801\u590d\u5236\n\nmarkdown_extensions:\n  - pymdownx.highlight:\n      anchor_linenums: true\n      line_spans: __span\n      pygments_lang_class: true\n      use_pygments: true\n      auto_title: true # \u663e\u793a\u8bed\u8a00\u540d\u79f0\n      linenums: true  # \u663e\u793a\u884c\u53f7\n</code></pre> <p>\u81ea\u5b9a\u4e49\u9ad8\u4eae\u4e3b\u9898\uff1a</p> YAML<pre><code>theme:\n  palette:\n    # \u4eae\u8272\u4e3b\u9898\n    - scheme: default\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u4e3b\u9898\n      pygments_style: github-light\n\n    # \u6697\u8272\u4e3b\u9898\n    - scheme: slate\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u4e3b\u9898\n      pygments_style: monokai\n</code></pre> <p>\u81ea\u5b9a\u4e49\u4ee3\u7801\u5757\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/code.css */\n\n/* \u4ee3\u7801\u5757\u5bb9\u5668 */\n.highlight {\n  background-color: var(--md-code-bg-color);\n  border-radius: 4px;\n  padding: 0.5rem;\n  margin: 1rem 0;\n}\n\n/* \u4ee3\u7801\u884c */\n.highlight .code-line {\n  display: block;\n  padding: 0 1rem;\n  border-left: 2px solid transparent;\n}\n\n/* \u9ad8\u4eae\u884c */\n.highlight .code-line.focused {\n  background-color: var(--md-code-hl-color);\n  border-left: 2px solid var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4412","title":"4.4.1.2 \u8bed\u8a00\u652f\u6301","text":"<p>\u914d\u7f6e\u652f\u6301\u7684\u8bed\u8a00\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      extend_pygments_lang:\n        # \u81ea\u5b9a\u4e49\u8bed\u8a00\u914d\u7f6e\n        typescript:\n          name: TypeScript\n          aliases: [ts]\n        jsonc:\n          name: JSON with Comments\n          aliases: [json5]\n</code></pre> <p>\u8bed\u8a00\u7279\u5b9a\u914d\u7f6e\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      language_prefix: language-  # \u8bed\u8a00\u524d\u7f00\n      css_class: highlight       # CSS\u7c7b\u540d\n      code_attr_on_pre: false    # \u5c5e\u6027\u4f4d\u7f6e\n      extend_pygments_lang:      # \u8bed\u8a00\u6269\u5c55\n        flow:\n          name: Flow\n          aliases: [flowtype]\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4413","title":"4.4.1.3 \u81ea\u5b9a\u4e49\u9ad8\u4eae","text":"<p>\u81ea\u5b9a\u4e49\u8bed\u6cd5\u9ad8\u4eae\u89c4\u5219\uff1a</p> Python<pre><code># docs/custom_lexer.py\nfrom pygments.lexer import RegexLexer, words\nfrom pygments.token import *\n\nclass CustomLexer(RegexLexer):\n    name = 'CustomLanguage'\n    aliases = ['custom']\n    filenames = ['*.custom']\n\n    tokens = {\n        'root': [\n            (r'//.*$', Comment.Single),\n            (words(('if', 'else', 'while'), suffix=r'\\b'), Keyword),\n            (r'\"[^\"]*\"', String),\n            (r'\\d+', Number),\n            (r'[a-zA-Z_]\\w*', Name),\n            (r'[^\\w\\s]', Punctuation),\n        ]\n    }\n</code></pre> <p>\u5728 <code>mkdocs.yml</code> \u4e2d\u4f7f\u7528\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      use_pygments: true\n      extend_pygments_lang:\n        custom:\n          name: CustomLanguage\n          aliases: [custom]\n</code></pre>"},{"location":"Technology/mkdocs%20material/#442","title":"4.4.2 \u884c\u53f7\u663e\u793a","text":""},{"location":"Technology/mkdocs%20material/#4421","title":"4.4.2.1 \u884c\u53f7\u6837\u5f0f","text":"<p>\u914d\u7f6e\u884c\u53f7\u663e\u793a\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      linenums: true\n      linenums_style: table  # \u8868\u683c\u5f0f\u884c\u53f7\n      anchor_linenums: true  # \u884c\u53f7\u94fe\u63a5\n</code></pre> <p>\u81ea\u5b9a\u4e49\u884c\u53f7\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u884c\u53f7\u5bb9\u5668 */\n.highlighttable {\n  width: 100%;\n  display: table;\n}\n\n/* \u884c\u53f7\u5217 */\n.linenos {\n  color: var(--md-default-fg-color--lighter);\n  text-align: right;\n  padding-right: 1rem;\n  user-select: none;\n}\n\n/* \u4ee3\u7801\u5217 */\n.code {\n  padding-left: 1rem;\n  border-left: 1px solid var(--md-default-fg-color--lightest);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4422","title":"4.4.2.2 \u8d77\u59cb\u884c\u8bbe\u7f6e","text":"<p>\u8bbe\u7f6e\u4ee3\u7801\u5757\u8d77\u59cb\u884c\u53f7\uff1a</p> Markdown<pre><code>```python linenums=\"10\"\ndef hello_world():\n    print(\"Hello, World!\")\n```\n</code></pre> <p>\u914d\u7f6e\u9ed8\u8ba4\u8d77\u59cb\u884c\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      linenums: true\n      linenums_start: 1  # \u9ed8\u8ba4\u8d77\u59cb\u884c\u53f7\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4423","title":"4.4.2.3 \u884c\u53f7\u94fe\u63a5","text":"<p>\u542f\u7528\u884c\u53f7\u94fe\u63a5\u529f\u80fd\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.highlight:\n      anchor_linenums: true     # \u542f\u7528\u884c\u53f7\u94fe\u63a5\n      line_anchors: L           # \u884c\u53f7\u94fe\u63a5\u524d\u7f00\n</code></pre> <p>\u81ea\u5b9a\u4e49\u94fe\u63a5\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u884c\u53f7\u94fe\u63a5 */\n.md-typeset .highlight [data-linenos]:before {\n  content: attr(data-linenos);\n  color: var(--md-default-fg-color--lighter);\n  padding-right: 1rem;\n}\n\n/* \u94fe\u63a5\u60ac\u505c\u6548\u679c */\n.md-typeset .highlight [data-linenos]:hover:before {\n  color: var(--md-accent-fg-color);\n  cursor: pointer;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#443","title":"4.4.3 \u590d\u5236\u6309\u94ae","text":""},{"location":"Technology/mkdocs%20material/#4431","title":"4.4.3.1 \u6309\u94ae\u6837\u5f0f","text":"<p>\u914d\u7f6e\u590d\u5236\u6309\u94ae\uff1a</p> YAML<pre><code>theme:\n  features:\n    - content.code.copy     # \u542f\u7528\u4ee3\u7801\u590d\u5236\n</code></pre> <p>\u81ea\u5b9a\u4e49\u590d\u5236\u6309\u94ae\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u590d\u5236\u6309\u94ae\u5bb9\u5668 */\n.md-clipboard {\n  position: absolute;\n  top: 0.5rem;\n  right: 0.5rem;\n  padding: 0.4rem;\n  color: var(--md-default-fg-color--lighter);\n  background-color: transparent;\n  border: none;\n  border-radius: 4px;\n  cursor: pointer;\n  transition: all 0.2s ease;\n}\n\n/* \u60ac\u505c\u6548\u679c */\n.md-clipboard:hover {\n  color: var(--md-accent-fg-color);\n  background-color: var(--md-code-bg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4432","title":"4.4.3.2 \u590d\u5236\u884c\u4e3a","text":"<p>\u81ea\u5b9a\u4e49\u590d\u5236\u529f\u80fd\uff1a</p> JavaScript<pre><code>// docs/javascripts/clipboard.js\n\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  // \u83b7\u53d6\u6240\u6709\u4ee3\u7801\u5757\n  const codeBlocks = document.querySelectorAll('pre code');\n\n  codeBlocks.forEach(block =&gt; {\n    // \u521b\u5efa\u590d\u5236\u6309\u94ae\n    const button = document.createElement('button');\n    button.className = 'md-clipboard';\n    button.title = '\u590d\u5236\u5230\u526a\u8d34\u677f';\n\n    // \u6dfb\u52a0\u590d\u5236\u56fe\u6807\n    button.innerHTML = '&lt;span class=\"md-clipboard__icon\"&gt;&lt;/span&gt;';\n\n    // \u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\n    button.addEventListener('click', async () =&gt; {\n      try {\n        // \u590d\u5236\u4ee3\u7801\n        await navigator.clipboard.writeText(block.textContent);\n\n        // \u663e\u793a\u6210\u529f\u63d0\u793a\n        button.classList.add('md-clipboard--success');\n        setTimeout(() =&gt; {\n          button.classList.remove('md-clipboard--success');\n        }, 2000);\n      } catch (err) {\n        console.error('\u590d\u5236\u5931\u8d25:', err);\n      }\n    });\n\n    // \u5c06\u6309\u94ae\u6dfb\u52a0\u5230\u4ee3\u7801\u5757\n    block.parentNode.insertBefore(button, block);\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4433","title":"4.4.3.3 \u63d0\u793a\u914d\u7f6e","text":"<p>\u914d\u7f6e\u590d\u5236\u63d0\u793a\uff1a</p> YAML<pre><code>theme:\n  language: zh          # \u4f7f\u7528\u4e2d\u6587\u754c\u9762\n\nextra:\n  clipboard:\n    copy: \u590d\u5236\n    copied: \u5df2\u590d\u5236\uff01\n    error: \u590d\u5236\u5931\u8d25\n</code></pre> <p>\u81ea\u5b9a\u4e49\u63d0\u793a\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u590d\u5236\u63d0\u793a */\n.md-clipboard__tooltip {\n  position: absolute;\n  top: -2rem;\n  right: 0;\n  padding: 0.4rem 0.8rem;\n  color: var(--md-default-bg-color);\n  background-color: var(--md-default-fg-color);\n  border-radius: 4px;\n  font-size: 0.8rem;\n  opacity: 0;\n  transform: translateY(0.4rem);\n  transition: all 0.2s ease;\n}\n\n/* \u663e\u793a\u63d0\u793a */\n.md-clipboard:hover .md-clipboard__tooltip {\n  opacity: 1;\n  transform: translateY(0);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#444","title":"4.4.4 \u6ce8\u91ca\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#4441","title":"4.4.4.1 \u884c\u5185\u6ce8\u91ca","text":"<p>\u4f7f\u7528\u884c\u5185\u6ce8\u91ca\uff1a</p> Markdown<pre><code>```python\ndef hello():\n    print(\"Hello\")  # (1)\n    return True     # (2)\n```\n\n1. \u6253\u5370\u95ee\u5019\u4fe1\u606f\n2. \u8fd4\u56de\u6210\u529f\u72b6\u6001\n</code></pre> <p>\u914d\u7f6e\u6ce8\u91ca\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u884c\u5185\u6ce8\u91ca\u6807\u8bb0 */\n.md-annotation {\n  color: var(--md-accent-fg-color);\n  font-size: 0.8em;\n  vertical-align: super;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4442","title":"4.4.4.2 \u5757\u7ea7\u6ce8\u91ca","text":"<p>\u4f7f\u7528\u5757\u7ea7\u6ce8\u91ca\uff1a</p> Markdown<pre><code>```python\ndef process_data():\n    # (1)!\n    data = load_data()\n\n    # (2)!\n    result = transform(data)\n\n    return result\n```\n\n1. \u4ece\u6570\u636e\u6e90\u52a0\u8f7d\u6570\u636e\n   \u8fd9\u91cc\u53ef\u4ee5\u662f\u591a\u884c\n   \u6ce8\u91ca\u8bf4\u660e\n\n2. \u5bf9\u6570\u636e\u8fdb\u884c\u8f6c\u6362\u5904\u7406\n   \u5305\u542b\u6e05\u6d17\u548c\u683c\u5f0f\u5316\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4443","title":"4.4.4.3 \u6ce8\u91ca\u6837\u5f0f","text":"<p>\u81ea\u5b9a\u4e49\u6ce8\u91ca\u6837\u5f0f\uff1a</p> CSS<pre><code>/* \u6ce8\u91ca\u5bb9\u5668 */\n.md-annotation-wrapper {\n  margin: 1rem 0;\n  padding: 1rem;\n  background-color: var(--md-code-bg-color);\n  border-left: 4px solid var(--md-accent-fg-color);\n  border-radius: 4px;\n}\n\n/* \u6ce8\u91ca\u6807\u8bb0 */\n.md-annotation-marker {\n  color: var(--md-accent-fg-color);\n  font-weight: bold;\n}\n\n/* \u6ce8\u91ca\u5185\u5bb9 */\n.md-annotation-content {\n  margin-top: 0.5rem;\n  color: var(--md-default-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#445","title":"4.4.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\n\ntheme:\n  name: material\n  features:\n    - content.code.annotate\n    - content.code.copy\n\nmarkdown_extensions:\n  - pymdownx.highlight:\n      anchor_linenums: true\n      line_spans: __span\n      pygments_lang_class: true\n      use_pygments: true\n      auto_title: true\n      linenums: true\n      linenums_style: table\n  - pymdownx.superfences\n  - pymdownx.inlinehilite\n\nextra:\n  clipboard:\n    copy: \u590d\u5236\n    copied: \u5df2\u590d\u5236\uff01\n    error: \u590d\u5236\u5931\u8d25\n\nextra_css:\n  - stylesheets/code.css\n\nextra_javascript:\n  - javascripts/clipboard.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#45","title":"4.5 \u5185\u5bb9\u589e\u5f3a","text":""},{"location":"Technology/mkdocs%20material/#451","title":"4.5.1 \u6570\u5b66\u516c\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#4511-katex","title":"4.5.1.1 KaTeX \u914d\u7f6e","text":"<p>\u5b89\u88c5\u548c\u914d\u7f6e KaTeX\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n\nextra_javascript:\n  - javascripts/katex.js \n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js  \n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n\nextra_css:\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css\n</code></pre> <p>\u521b\u5efa <code>docs/javascripts/katex.js</code> \uff1a</p> JavaScript<pre><code>document.addEventListener(\"DOMContentLoaded\", function() {\n  renderMathInElement(document.body, {\n    delimiters: [\n      {left: \"$$\", right: \"$$\", display: true},\n      {left: \"$\", right: \"$\", display: false},\n      {left: \"\\\\(\", right: \"\\\\)\", display: false},\n      {left: \"\\\\[\", right: \"\\\\]\", display: true}\n    ],\n    throwOnError: false\n  });\n});\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>\u5185\u8054\u516c\u5f0f: $E = mc^2$\n\n\u5757\u7ea7\u516c\u5f0f\uff1a\n$$\n\\frac{n!}{k!(n-k)!} = \\binom{n}{k}\n$$\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4512-mathjax","title":"4.5.1.2 MathJax \u914d\u7f6e","text":"<p>\u914d\u7f6e MathJax\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n\nextra_javascript:\n  - javascripts/mathjax.js\n  - https://polyfill.io/v3/polyfill.min.js?features=es6\n  - https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js\n</code></pre> <p>\u521b\u5efa <code>docs/javascripts/mathjax.js</code> \uff1a</p> JavaScript<pre><code>window.MathJax = {\n  tex: {\n    inlineMath: [[\"\\\\(\", \"\\\\)\"]],\n    displayMath: [[\"\\\\[\", \"\\\\]\"]],\n    processEscapes: true,\n    processEnvironments: true\n  },\n  options: {\n    ignoreHtmlClass: \".*|\",\n    processHtmlClass: \"arithmatex\"\n  }\n};\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4513","title":"4.5.1.3 \u516c\u5f0f\u7f16\u53f7","text":"<p>\u542f\u7528\u516c\u5f0f\u7f16\u53f7\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n      numbering: true\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Markdown<pre><code>$$\n\\begin{equation}\nE = mc^2 \\label{eq:einstein}\n\\end{equation}\n$$\n\n\u5f15\u7528\u516c\u5f0f $\\eqref{eq:einstein}$\n</code></pre>"},{"location":"Technology/mkdocs%20material/#452","title":"4.5.2 \u56fe\u8868\u652f\u6301","text":""},{"location":"Technology/mkdocs%20material/#4521-mermaid","title":"4.5.2.1 Mermaid \u96c6\u6210","text":"<p>\u914d\u7f6e Mermaid\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\nextra_javascript:\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Text Only<pre><code>graph TD\n    A[\u5f00\u59cb] --&gt; B{\u5224\u65ad}\n    B --&gt;|Yes| C[\u5904\u7406]\n    B --&gt;|No| D[\u7ed3\u675f]\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4522-plantuml","title":"4.5.2.2 PlantUML \u652f\u6301","text":"<p>\u914d\u7f6e PlantUML\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: plantuml\n          class: plantuml\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\nextra_javascript:\n  - https://cdn.jsdelivr.net/npm/plantuml-encoder@1.4.0/dist/plantuml-encoder.min.js\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> Text Only<pre><code>@startuml\nAlice -&gt; Bob: \u8bf7\u6c42\nBob --&gt; Alice: \u54cd\u5e94\n@enduml\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4523","title":"4.5.2.3 \u81ea\u5b9a\u4e49\u56fe\u8868","text":"<p>\u521b\u5efa\u81ea\u5b9a\u4e49\u56fe\u8868\u7ec4\u4ef6\uff1a</p> JavaScript<pre><code>// docs/javascripts/charts.js\nimport Chart from 'chart.js/auto';\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const chartElements = document.querySelectorAll('.custom-chart');\n\n  chartElements.forEach(element =&gt; {\n    const ctx = element.getContext('2d');\n    const data = JSON.parse(element.dataset.chartData);\n\n    new Chart(ctx, {\n      type: data.type,\n      data: data.data,\n      options: data.options\n    });\n  });\n});\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> HTML<pre><code>&lt;canvas class=\"custom-chart\" data-chart-data='{\n  \"type\": \"line\",\n  \"data\": {\n    \"labels\": [\"1\u6708\", \"2\u6708\", \"3\u6708\"],\n    \"datasets\": [{\n      \"label\": \"\u6570\u636e\",\n      \"data\": [10, 20, 30]\n    }]\n  }\n}'&gt;&lt;/canvas&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#453","title":"4.5.3 \u4efb\u52a1\u5217\u8868","text":""},{"location":"Technology/mkdocs%20material/#4531","title":"4.5.3.1 \u590d\u9009\u6846\u6837\u5f0f","text":"<p>\u914d\u7f6e\u4efb\u52a1\u5217\u8868\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.tasklist:\n      custom_checkbox: true\n      clickable_checkbox: true\n</code></pre> <p>\u81ea\u5b9a\u4e49\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/tasklist.css */\n\n.task-list-item {\n  list-style-type: none;\n  margin-left: -1.6rem;\n}\n\n.task-list-control {\n  position: relative;\n  display: inline-block;\n  width: 1.2rem;\n  height: 1.2rem;\n  margin-right: 0.5rem;\n  vertical-align: middle;\n}\n\n.task-list-indicator {\n  position: absolute;\n  top: 0;\n  left: 0;\n  width: 100%;\n  height: 100%;\n  background-color: var(--md-default-fg-color--lighter);\n  border-radius: 2px;\n  transition: all 0.2s ease;\n}\n\n.task-list-indicator:checked {\n  background-color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4532","title":"4.5.3.2 \u4ea4\u4e92\u884c\u4e3a","text":"<p>\u6dfb\u52a0\u4ea4\u4e92\u529f\u80fd\uff1a</p> JavaScript<pre><code>// docs/javascripts/tasklist.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const taskItems = document.querySelectorAll('.task-list-item input[type=\"checkbox\"]');\n\n  taskItems.forEach(item =&gt; {\n    item.addEventListener('change', function() {\n      // \u4fdd\u5b58\u72b6\u6001\n      localStorage.setItem(\n        `task-${this.closest('.task-list-item').id}`,\n        this.checked\n      );\n\n      // \u66f4\u65b0\u6837\u5f0f\n      if (this.checked) {\n        this.closest('.task-list-item').classList.add('completed');\n      } else {\n        this.closest('.task-list-item').classList.remove('completed');\n      }\n    });\n\n    // \u6062\u590d\u72b6\u6001\n    const saved = localStorage.getItem(`task-${item.closest('.task-list-item').id}`);\n    if (saved === 'true') {\n      item.checked = true;\n      item.closest('.task-list-item').classList.add('completed');\n    }\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4533","title":"4.5.3.3 \u72b6\u6001\u7ba1\u7406","text":"CSS<pre><code>/* \u4efb\u52a1\u72b6\u6001\u6837\u5f0f */\n.task-list-item.completed {\n  text-decoration: line-through;\n  color: var(--md-default-fg-color--light);\n}\n\n.task-list-item.pending {\n  font-weight: bold;\n}\n\n.task-list-item.in-progress {\n  color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#454","title":"4.5.4 \u6807\u7b7e\u9875","text":""},{"location":"Technology/mkdocs%20material/#4541","title":"4.5.4.1 \u6807\u7b7e\u7ec4\u6837\u5f0f","text":"<p>\u914d\u7f6e\u6807\u7b7e\u9875\uff1a</p> YAML<pre><code>markdown_extensions:\n  - pymdownx.tabbed:\n      alternate_style: true \n</code></pre> <p>\u81ea\u5b9a\u4e49\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/tabs.css */\n\n/* \u6807\u7b7e\u7ec4\u5bb9\u5668 */\n.tabbed-set {\n  border: 1px solid var(--md-default-fg-color--lightest);\n  border-radius: 4px;\n  margin: 1rem 0;\n}\n\n/* \u6807\u7b7e\u5217\u8868 */\n.tabbed-labels {\n  display: flex;\n  background-color: var(--md-code-bg-color);\n  border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u5355\u4e2a\u6807\u7b7e */\n.tabbed-labels &gt; label {\n  padding: 0.8rem 1.2rem;\n  cursor: pointer;\n  transition: all 0.2s ease;\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.tabbed-labels &gt; label.tabbed-selected {\n  color: var(--md-accent-fg-color);\n  border-bottom: 2px solid var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4542","title":"4.5.4.2 \u5207\u6362\u6548\u679c","text":"<p>\u6dfb\u52a0\u52a8\u753b\u6548\u679c\uff1a</p> CSS<pre><code>/* \u6807\u7b7e\u5185\u5bb9\u5207\u6362\u52a8\u753b */\n.tabbed-content {\n  padding: 1rem;\n  opacity: 0;\n  transform: translateY(10px);\n  transition: all 0.3s ease;\n}\n\n.tabbed-content.tabbed-selected {\n  opacity: 1;\n  transform: translateY(0);\n}\n</code></pre> <p>\u6807\u7b7e\u9875\u4ea4\u4e92\uff1a</p> JavaScript<pre><code>// docs/javascripts/tabs.js\n\ndocument.addEventListener('DOMContentLoaded', function() {\n  const tabSets = document.querySelectorAll('.tabbed-set');\n\n  tabSets.forEach(tabSet =&gt; {\n    const tabs = tabSet.querySelectorAll('.tabbed-labels &gt; label');\n    const contents = tabSet.querySelectorAll('.tabbed-content');\n\n    tabs.forEach((tab, index) =&gt; {\n      tab.addEventListener('click', () =&gt; {\n        // \u66f4\u65b0\u6807\u7b7e\u72b6\u6001\n        tabs.forEach(t =&gt; t.classList.remove('tabbed-selected'));\n        tab.classList.add('tabbed-selected');\n\n        // \u66f4\u65b0\u5185\u5bb9\u72b6\u6001\n        contents.forEach(c =&gt; c.classList.remove('tabbed-selected'));\n        contents[index].classList.add('tabbed-selected');\n      });\n    });\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#4543","title":"4.5.4.3 \u54cd\u5e94\u5f0f\u8bbe\u8ba1","text":"<p>\u6dfb\u52a0\u54cd\u5e94\u5f0f\u652f\u6301\uff1a</p> CSS<pre><code>/* \u79fb\u52a8\u7aef\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n  .tabbed-labels {\n    flex-wrap: wrap;\n  }\n\n  .tabbed-labels &gt; label {\n    flex: 1 1 auto;\n    text-align: center;\n  }\n\n  .tabbed-content {\n    padding: 0.8rem;\n  }\n}\n\n/* \u5e73\u677f\u9002\u914d */\n@media screen and (min-width: 76.25em) {\n  .tabbed-set {\n    max-width: 80%;\n    margin: 1rem auto;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#455","title":"4.5.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\n\nmarkdown_extensions:\n  # \u6570\u5b66\u516c\u5f0f\n  - pymdownx.arithmatex:\n      generic: true\n\n  # \u56fe\u8868\u652f\u6301\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n        - name: plantuml\n          class: plantuml\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\n  # \u4efb\u52a1\u5217\u8868\n  - pymdownx.tasklist:\n      custom_checkbox: true\n      clickable_checkbox: true\n\n  # \u6807\u7b7e\u9875\n  - pymdownx.tabbed:\n      alternate_style: true\n\nextra_javascript:\n  - javascripts/katex.js\n  - javascripts/mermaid.js\n  - javascripts/charts.js\n  - javascripts/tasklist.js\n  - javascripts/tabs.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n\nextra_css:\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css\n  - stylesheets/tasklist.css\n  - stylesheets/tabs.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5","title":"5 \u6837\u5f0f\u5b9a\u5236","text":""},{"location":"Technology/mkdocs%20material/#51-css","title":"5.1 CSS \u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#511-css","title":"5.1.1 \u81ea\u5b9a\u4e49 CSS \u6587\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#5111-css","title":"5.1.1.1 CSS \u6587\u4ef6\u7ec4\u7ec7","text":"<ol> <li>\u63a8\u8350\u7684\u76ee\u5f55\u7ed3\u6784\uff1a</li> </ol> Text Only<pre><code>docs/\n\u251c\u2500\u2500 stylesheets/\n\u2502   \u251c\u2500\u2500 base/\n\u2502   \u2502   \u251c\u2500\u2500 _variables.css    # CSS\u53d8\u91cf\u5b9a\u4e49\n\u2502   \u2502   \u251c\u2500\u2500 _typography.css   # \u6392\u7248\u6837\u5f0f\n\u2502   \u2502   \u2514\u2500\u2500 _colors.css       # \u989c\u8272\u5b9a\u4e49\n\u2502   \u251c\u2500\u2500 components/\n\u2502   \u2502   \u251c\u2500\u2500 _buttons.css      # \u6309\u94ae\u6837\u5f0f\n\u2502   \u2502   \u251c\u2500\u2500 _cards.css        # \u5361\u7247\u6837\u5f0f\n\u2502   \u2502   \u2514\u2500\u2500 _tables.css       # \u8868\u683c\u6837\u5f0f\n\u2502   \u251c\u2500\u2500 layouts/\n\u2502   \u2502   \u251c\u2500\u2500 _header.css       # \u5934\u90e8\u6837\u5f0f\n\u2502   \u2502   \u251c\u2500\u2500 _nav.css         # \u5bfc\u822a\u6837\u5f0f\n\u2502   \u2502   \u2514\u2500\u2500 _footer.css      # \u9875\u811a\u6837\u5f0f\n\u2502   \u2514\u2500\u2500 extra.css            # \u4e3b\u6837\u5f0f\u6587\u4ef6\n</code></pre> <ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u5f15\u5165\u6837\u5f0f\uff1a</li> </ol> YAML<pre><code>extra_css:\n  - stylesheets/extra.css\n</code></pre> <ol> <li>\u5728\u4e3b\u6837\u5f0f\u6587\u4ef6\u4e2d\u5bfc\u5165\u5176\u4ed6\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/extra.css */\n\n/* \u57fa\u7840\u6837\u5f0f */\n@import 'base/_variables.css';\n@import 'base/_typography.css';\n@import 'base/_colors.css';\n\n/* \u7ec4\u4ef6\u6837\u5f0f */\n@import 'components/_buttons.css';\n@import 'components/_cards.css';\n@import 'components/_tables.css';\n\n/* \u5e03\u5c40\u6837\u5f0f */\n@import 'layouts/_header.css';\n@import 'layouts/_nav.css';\n@import 'layouts/_footer.css';\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5112","title":"5.1.1.2 \u6837\u5f0f\u4f18\u5148\u7ea7","text":"<ol> <li>\u6837\u5f0f\u4f18\u5148\u7ea7\u89c4\u5219\uff1a</li> </ol> CSS<pre><code>/* 1. \u884c\u5185\u6837\u5f0f (1000) */\n&lt;div style=\"color: red;\"&gt;\n\n/* 2. ID \u9009\u62e9\u5668 (100) */\n#header { }\n\n/* 3. \u7c7b\u9009\u62e9\u5668\u3001\u5c5e\u6027\u9009\u62e9\u5668\u3001\u4f2a\u7c7b (10) */\n.nav-item { }\n[type=\"text\"] { }\n:hover { }\n\n/* 4. \u5143\u7d20\u9009\u62e9\u5668\u3001\u4f2a\u5143\u7d20 (1) */\ndiv { }\n::before { }\n</code></pre> <ol> <li>Material \u4e3b\u9898\u8986\u76d6\uff1a</li> </ol> CSS<pre><code>/* \u8986\u76d6\u4e3b\u9898\u6837\u5f0f */\n.md-header {\n  /* \u4f7f\u7528 !important \u614e\u91cd */\n  background-color: #2196f3 !important;\n}\n\n/* \u4f7f\u7528\u66f4\u5177\u4f53\u7684\u9009\u62e9\u5668 */\n.md-header[data-md-color-scheme=\"default\"] {\n  background-color: #2196f3;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5113-css","title":"5.1.1.3 CSS \u53d8\u91cf","text":"<ol> <li>\u5b9a\u4e49\u5168\u5c40\u53d8\u91cf\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/base/_variables.css */\n\n:root {\n  /* \u989c\u8272\u53d8\u91cf */\n  --primary-color: #2196f3;\n  --accent-color: #f50057;\n  --text-color: #333333;\n\n  /* \u5b57\u4f53\u53d8\u91cf */\n  --font-family: \"LXGW WenKai\", -apple-system, sans-serif;\n  --code-font: \"JetBrains Mono\", monospace;\n\n  /* \u95f4\u8ddd\u53d8\u91cf */\n  --spacing-unit: 8px;\n  --content-padding: calc(var(--spacing-unit) * 2);\n\n  /* \u9634\u5f71\u53d8\u91cf */\n  --shadow-sm: 0 1px 2px rgba(0,0,0,0.1);\n  --shadow-md: 0 2px 4px rgba(0,0,0,0.1);\n  --shadow-lg: 0 4px 8px rgba(0,0,0,0.1);\n}\n</code></pre> <ol> <li>\u4e3b\u9898\u53d8\u91cf\uff1a</li> </ol> CSS<pre><code>/* \u4eae\u8272\u4e3b\u9898 */\n[data-md-color-scheme=\"default\"] {\n  --md-primary-fg-color: var(--primary-color);\n  --md-accent-fg-color: var(--accent-color);\n  --md-typeset-color: var(--text-color);\n}\n\n/* \u6697\u8272\u4e3b\u9898 */\n[data-md-color-scheme=\"slate\"] {\n  --primary-color: #90caf9;\n  --accent-color: #ff4081;\n  --text-color: #ffffff;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#512","title":"5.1.2 \u5e38\u7528\u6837\u5f0f\u4fee\u6539","text":""},{"location":"Technology/mkdocs%20material/#5121","title":"5.1.2.1 \u5b57\u4f53\u8bbe\u7f6e","text":"<ol> <li>\u5b57\u4f53\u5b9a\u4e49\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/base/_typography.css */\n\n/* \u57fa\u7840\u5b57\u4f53\u8bbe\u7f6e */\nbody {\n  font-family: var(--font-family);\n  font-size: 16px;\n  line-height: 1.6;\n}\n\n/* \u4ee3\u7801\u5b57\u4f53 */\ncode, pre {\n  font-family: var(--code-font);\n  font-size: 0.9em;\n}\n\n/* \u6807\u9898\u5b57\u4f53 */\nh1, h2, h3, h4, h5, h6 {\n  font-family: var(--font-family);\n  font-weight: 600;\n  margin: calc(var(--spacing-unit) * 3) 0;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5122","title":"5.1.2.2 \u989c\u8272\u5b9a\u5236","text":"CSS<pre><code>/* docs/stylesheets/base/_colors.css */\n\n/* \u6587\u672c\u989c\u8272 */\n.md-typeset {\n  color: var(--text-color);\n}\n\n/* \u94fe\u63a5\u989c\u8272 */\n.md-typeset a {\n  color: var(--md-accent-fg-color);\n}\n\n/* \u4ee3\u7801\u5757\u989c\u8272 */\n.highlight {\n  background-color: var(--md-code-bg-color);\n}\n\n/* \u5f15\u7528\u5757\u989c\u8272 */\nblockquote {\n  border-left: 4px solid var(--md-accent-fg-color);\n  background-color: var(--md-code-bg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5123","title":"5.1.2.3 \u95f4\u8ddd\u8c03\u6574","text":"CSS<pre><code>/* \u5185\u5bb9\u95f4\u8ddd */\n.md-main__inner {\n  padding: var(--content-padding);\n}\n\n/* \u6bb5\u843d\u95f4\u8ddd */\n.md-typeset p {\n  margin: var(--spacing-unit) 0;\n}\n\n/* \u5217\u8868\u95f4\u8ddd */\n.md-typeset ul li,\n.md-typeset ol li {\n  margin-bottom: calc(var(--spacing-unit) * 0.5);\n}\n\n/* \u6807\u9898\u95f4\u8ddd */\n.md-typeset h1 {\n  margin-top: calc(var(--spacing-unit) * 4);\n  margin-bottom: calc(var(--spacing-unit) * 2);\n}\n\n.md-typeset h2 {\n  margin-top: calc(var(--spacing-unit) * 3);\n  margin-bottom: calc(var(--spacing-unit) * 1.5);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5124","title":"5.1.2.4 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"<p>\u5728 <code>mkdocs.yml</code> \u4e2d\u7684\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  font: false  # \u7981\u7528\u9ed8\u8ba4\u5b57\u4f53\n\nextra_css:\n  - stylesheets/extra.css\n\nextra:\n  css_variables:\n    spacing_unit: 8px\n    content_width: 960px\n</code></pre>"},{"location":"Technology/mkdocs%20material/#52","title":"5.2 \u4e3b\u9898\u6837\u5f0f\u8986\u76d6","text":""},{"location":"Technology/mkdocs%20material/#521","title":"5.2.1 \u7ec4\u4ef6\u6837\u5f0f\u4fee\u6539","text":""},{"location":"Technology/mkdocs%20material/#5211","title":"5.2.1.1 \u5bfc\u822a\u680f\u6837\u5f0f","text":"<ol> <li>\u9876\u90e8\u5bfc\u822a\u680f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/components/header.css */\n\n/* \u5bfc\u822a\u680f\u5bb9\u5668 */\n.md-header {\n  background-color: var(--md-primary-fg-color);\n  box-shadow: 0 2px 4px rgba(0,0,0,.14);\n  height: 3rem;\n}\n\n/* \u5bfc\u822a\u680f\u6807\u9898 */\n.md-header__title {\n  font-size: 1.2rem;\n  font-weight: 600;\n  margin-left: 1rem;\n}\n\n/* \u5bfc\u822a\u680f\u6309\u94ae */\n.md-header__button {\n  padding: .8rem;\n  color: var(--md-primary-bg-color);\n}\n\n/* \u5bfc\u822a\u680f\u641c\u7d22\u6846 */\n.md-search__input {\n  border-radius: 2rem;\n  background-color: rgba(255,255,255,.1);\n  padding: 0 2.4rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5212","title":"5.2.1.2 \u4fa7\u8fb9\u680f\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/components/sidebar.css */\n\n/* \u4fa7\u8fb9\u680f\u5bb9\u5668 */\n.md-sidebar {\n  width: 14rem;\n  background-color: var(--md-default-bg-color);\n  padding: 1.2rem 0;\n}\n\n/* \u4fa7\u8fb9\u680f\u5bfc\u822a */\n.md-nav--primary {\n  padding: 0 .8rem;\n}\n\n/* \u5bfc\u822a\u9879 */\n.md-nav__item {\n  padding: .2rem 0;\n}\n\n/* \u5bfc\u822a\u94fe\u63a5 */\n.md-nav__link {\n  color: var(--md-default-fg-color);\n  padding: .4rem .6rem;\n  border-radius: 4px;\n  transition: all .2s;\n}\n\n.md-nav__link:hover {\n  background-color: var(--md-code-bg-color);\n  color: var(--md-accent-fg-color);\n}\n\n/* \u6fc0\u6d3b\u72b6\u6001 */\n.md-nav__link--active {\n  font-weight: 600;\n  color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5213","title":"5.2.1.3 \u9875\u811a\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/components/footer.css */\n\n/* \u9875\u811a\u5bb9\u5668 */\n.md-footer {\n  background-color: var(--md-default-bg-color--darkest);\n  color: var(--md-footer-fg-color);\n}\n\n/* \u9875\u811a\u5185\u5bb9 */\n.md-footer-meta {\n  background-color: rgba(0,0,0,.1);\n  padding: 1rem 0;\n}\n\n/* \u9875\u811a\u94fe\u63a5 */\n.md-footer__link {\n  padding: .4rem 1rem;\n  color: var(--md-footer-fg-color--light);\n}\n\n/* \u7248\u6743\u4fe1\u606f */\n.md-footer-copyright {\n  font-size: .8rem;\n  color: var(--md-footer-fg-color--lighter);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#522","title":"5.2.2 \u81ea\u5b9a\u4e49\u8c03\u8272\u677f","text":""},{"location":"Technology/mkdocs%20material/#5221","title":"5.2.2.1 \u4e3b\u9898\u8272\u5b9a\u5236","text":"<ol> <li>\u57fa\u7840\u989c\u8272\u5b9a\u4e49\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/theme/colors.css */\n\n:root {\n  /* \u4e3b\u8272\u8c03 */\n  --md-primary-hue: 210;\n  --md-primary-saturation: 80%;\n  --md-primary-lightness: 45%;\n\n  /* \u5f3a\u8c03\u8272 */\n  --md-accent-hue: 340;\n  --md-accent-saturation: 90%;\n  --md-accent-lightness: 50%;\n}\n</code></pre> <ol> <li>\u989c\u8272\u53d8\u91cf\u5e94\u7528\uff1a</li> </ol> CSS<pre><code>:root {\n  --md-primary-fg-color: hsl(\n    var(--md-primary-hue),\n    var(--md-primary-saturation),\n    var(--md-primary-lightness)\n  );\n\n  --md-accent-fg-color: hsl(\n    var(--md-accent-hue),\n    var(--md-accent-saturation),\n    var(--md-accent-lightness)\n  );\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5222","title":"5.2.2.2 \u914d\u8272\u65b9\u6848","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  palette:\n    # \u4eae\u8272\u6a21\u5f0f\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo\n      accent: deep purple\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n\n    # \u6697\u8272\u6a21\u5f0f\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: blue grey\n      accent: deep purple\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5223","title":"5.2.2.3 \u6697\u8272\u4e3b\u9898","text":"CSS<pre><code>/* \u6697\u8272\u4e3b\u9898\u53d8\u91cf */\n[data-md-color-scheme=\"slate\"] {\n  --md-default-bg-color: #1a1a1a;\n  --md-default-bg-color--light: #222222;\n  --md-default-bg-color--lighter: #282828;\n\n  --md-default-fg-color: rgba(255,255,255,0.87);\n  --md-default-fg-color--light: rgba(255,255,255,0.54);\n  --md-default-fg-color--lighter: rgba(255,255,255,0.32);\n\n  --md-code-bg-color: #2d2d2d;\n  --md-code-fg-color: #f5f5f5;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#523","title":"5.2.3 \u5b57\u4f53\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#5231","title":"5.2.3.1 \u4e2d\u6587\u5b57\u4f53","text":"<ol> <li>\u5b57\u4f53\u5b9a\u4e49\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/theme/fonts.css */\n\n/* \u4e2d\u6587\u5b57\u4f53\u53d8\u91cf */\n:root {\n  --md-font-chinese: \"LXGW WenKai\", \"PingFang SC\", \"Microsoft YaHei\";\n}\n\n/* \u5f15\u5165 LXGW WenKai \u5b57\u4f53 */\n@font-face {\n  font-family: \"LXGW WenKai\";\n  src: url(\"https://cdn.jsdelivr.net/npm/lxgw-wenkai-webfont@1.1.0/style.css\");\n  font-display: swap;\n}\n</code></pre> <ol> <li>\u5b57\u4f53\u5e94\u7528\uff1a</li> </ol> CSS<pre><code>body {\n  font-family: var(--md-font-chinese), -apple-system, sans-serif;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5232","title":"5.2.3.2 \u4ee3\u7801\u5b57\u4f53","text":"CSS<pre><code>/* \u4ee3\u7801\u5b57\u4f53\u914d\u7f6e */\n:root {\n  --md-code-font: \"JetBrains Mono\", \"Fira Code\", \"Source Code Pro\", monospace;\n}\n\n/* \u4ee3\u7801\u5757\u6837\u5f0f */\n.md-typeset code,\n.md-typeset pre {\n  font-family: var(--md-code-font);\n  font-size: 0.9em;\n}\n\n/* \u884c\u5185\u4ee3\u7801 */\n.md-typeset code {\n  border-radius: 4px;\n  padding: .2em .4em;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5233","title":"5.2.3.3 \u5b57\u4f53\u56de\u9000","text":"CSS<pre><code>/* \u5b57\u4f53\u56de\u9000\u7b56\u7565 */\n:root {\n  --md-text-font-fallback: -apple-system, BlinkMacSystemFont, Segoe UI, Helvetica,\n    Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji;\n\n  --md-code-font-fallback: SFMono-Regular, Consolas, Menlo, monospace;\n}\n\n/* \u5e94\u7528\u56de\u9000\u5b57\u4f53 */\nbody {\n  font-family: var(--md-font-chinese), var(--md-text-font-fallback);\n}\n\npre, code {\n  font-family: var(--md-code-font), var(--md-code-font-fallback);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#524","title":"5.2.4 \u5e03\u5c40\u8c03\u6574","text":""},{"location":"Technology/mkdocs%20material/#5241","title":"5.2.4.1 \u54cd\u5e94\u5f0f\u5e03\u5c40","text":"CSS<pre><code>/* docs/stylesheets/theme/layout.css */\n\n/* \u57fa\u7840\u54cd\u5e94\u5f0f\u5e03\u5c40 */\n.md-grid {\n  max-width: 100%;\n  margin: 0 auto;\n}\n\n/* \u684c\u9762\u7aef */\n@media screen and (min-width: 76.25em) {\n  .md-grid {\n    max-width: 76rem;\n  }\n\n  .md-sidebar--primary {\n    width: 14rem;\n  }\n\n  .md-sidebar--secondary {\n    width: 12rem;\n    margin-left: 76rem;\n  }\n}\n\n/* \u5e73\u677f\u7aef */\n@media screen and (max-width: 76.1875em) {\n  .md-grid {\n    max-width: 60rem;\n  }\n\n  .md-header-nav__title {\n    display: none;\n  }\n}\n\n/* \u79fb\u52a8\u7aef */\n@media screen and (max-width: 44.9375em) {\n  .md-grid {\n    max-width: 100%;\n    padding: 0 1rem;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5242","title":"5.2.4.2 \u7f51\u683c\u7cfb\u7edf","text":"CSS<pre><code>/* \u81ea\u5b9a\u4e49\u7f51\u683c\u7cfb\u7edf */\n.grid {\n  display: grid;\n  gap: 1rem;\n  margin: 1rem 0;\n}\n\n/* \u7f51\u683c\u5217\u6570 */\n.grid-cols-1 { grid-template-columns: repeat(1, 1fr); }\n.grid-cols-2 { grid-template-columns: repeat(2, 1fr); }\n.grid-cols-3 { grid-template-columns: repeat(3, 1fr); }\n.grid-cols-4 { grid-template-columns: repeat(4, 1fr); }\n\n/* \u54cd\u5e94\u5f0f\u7f51\u683c */\n@media (min-width: 768px) {\n  .md-grid-cols-md-2 { grid-template-columns: repeat(2, 1fr); }\n  .md-grid-cols-md-3 { grid-template-columns: repeat(3, 1fr); }\n}\n\n@media (min-width: 1024px) {\n  .md-grid-cols-lg-3 { grid-template-columns: repeat(3, 1fr); }\n  .md-grid-cols-lg-4 { grid-template-columns: repeat(4, 1fr); }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5243","title":"5.2.4.3 \u5bb9\u5668\u5bbd\u5ea6","text":"CSS<pre><code>/* \u5bb9\u5668\u5bbd\u5ea6\u5b9a\u4e49 */\n:root {\n  --md-container-width: 80rem;\n  --md-container-padding: 1rem;\n}\n\n/* \u5bb9\u5668\u6837\u5f0f */\n.md-container {\n  max-width: var(--md-container-width);\n  margin: 0 auto;\n  padding: 0 var(--md-container-padding);\n}\n\n/* \u4e0d\u540c\u5c3a\u5bf8\u7684\u5bb9\u5668 */\n.md-container--small {\n  max-width: 60rem;\n}\n\n.md-container--medium {\n  max-width: 70rem;\n}\n\n.md-container--large {\n  max-width: 90rem;\n}\n\n/* \u6d41\u5f0f\u5bb9\u5668 */\n.md-container--fluid {\n  max-width: 100%;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#525","title":"5.2.5 \u5b8c\u6574\u914d\u7f6e\u793a\u4f8b","text":"YAML<pre><code># mkdocs.yml\ntheme:\n  name: material\n  font: false\n  features:\n    - navigation.tabs\n    - navigation.sections\n    - navigation.expand\n  palette:\n    - scheme: default\n      primary: indigo\n      accent: deep purple\n    - scheme: slate\n      primary: blue grey\n      accent: deep purple\n\nextra_css:\n  - stylesheets/theme/colors.css\n  - stylesheets/theme/fonts.css\n  - stylesheets/theme/layout.css\n  - stylesheets/components/header.css\n  - stylesheets/components/sidebar.css\n  - stylesheets/components/footer.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#53","title":"5.3 \u81ea\u5b9a\u4e49\u7ec4\u4ef6\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#531","title":"5.3.1 \u5361\u7247\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5311","title":"5.3.1.1 \u57fa\u7840\u5361\u7247","text":"<p>\u57fa\u7840\u5361\u7247\u6837\u5f0f\u5b9a\u4e49\uff1a</p> CSS<pre><code>/* docs/stylesheets/components/cards.css */\n\n/* \u57fa\u7840\u5361\u7247\u5bb9\u5668 */\n.card {\n  background-color: var(--md-default-bg-color);\n  border-radius: 8px;\n  box-shadow: var(--md-shadow-z1);\n  padding: 1.5rem;\n  margin: 1rem 0;\n  transition: all 0.3s ease;\n}\n\n/* \u5361\u7247\u6807\u9898 */\n.card__title {\n  font-size: 1.25rem;\n  font-weight: 600;\n  margin-bottom: 1rem;\n  color: var(--md-typeset-color);\n}\n\n/* \u5361\u7247\u5185\u5bb9 */\n.card__content {\n  font-size: 0.9rem;\n  color: var(--md-default-fg-color--light);\n  line-height: 1.6;\n}\n\n/* \u5361\u7247\u5e95\u90e8 */\n.card__footer {\n  margin-top: 1rem;\n  padding-top: 1rem;\n  border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n</code></pre> <p>\u4f7f\u7528\u793a\u4f8b\uff1a</p> HTML<pre><code>&lt;div class=\"card\"&gt;\n  &lt;div class=\"card__title\"&gt;\u5361\u7247\u6807\u9898&lt;/div&gt;\n  &lt;div class=\"card__content\"&gt;\n    \u8fd9\u91cc\u662f\u5361\u7247\u5185\u5bb9...\n  &lt;/div&gt;\n  &lt;div class=\"card__footer\"&gt;\n    \u5361\u7247\u5e95\u90e8\u4fe1\u606f\n  &lt;/div&gt;\n&lt;/div&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5312","title":"5.3.1.2 \u56fe\u7247\u5361\u7247","text":"CSS<pre><code>/* \u56fe\u7247\u5361\u7247\u6837\u5f0f */\n.card--image {\n  padding: 0;\n  overflow: hidden;\n}\n\n/* \u56fe\u7247\u5bb9\u5668 */\n.card__image {\n  width: 100%;\n  height: 200px;\n  position: relative;\n  overflow: hidden;\n}\n\n/* \u56fe\u7247\u6837\u5f0f */\n.card__image img {\n  width: 100%;\n  height: 100%;\n  object-fit: cover;\n  transition: transform 0.3s ease;\n}\n\n/* \u56fe\u7247\u60ac\u505c\u6548\u679c */\n.card--image:hover img {\n  transform: scale(1.05);\n}\n\n/* \u56fe\u7247\u5361\u7247\u5185\u5bb9\u533a */\n.card--image .card__content {\n  padding: 1.5rem;\n}\n\n/* \u56fe\u7247\u6807\u9898\u8986\u76d6 */\n.card__image-title {\n  position: absolute;\n  bottom: 0;\n  left: 0;\n  right: 0;\n  padding: 1rem;\n  background: linear-gradient(to top, rgba(0,0,0,0.7), transparent);\n  color: white;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5313","title":"5.3.1.3 \u7279\u6548\u5361\u7247","text":"CSS<pre><code>/* \u60ac\u6d6e\u6548\u679c\u5361\u7247 */\n.card--hover {\n  cursor: pointer;\n}\n\n.card--hover:hover {\n  transform: translateY(-4px);\n  box-shadow: var(--md-shadow-z2);\n}\n\n/* \u6e10\u53d8\u80cc\u666f\u5361\u7247 */\n.card--gradient {\n  background: linear-gradient(135deg, \n    var(--md-primary-fg-color) 0%,\n    var(--md-accent-fg-color) 100%);\n  color: white;\n}\n\n/* \u6bdb\u73bb\u7483\u6548\u679c\u5361\u7247 */\n.card--glass {\n  background: rgba(255, 255, 255, 0.1);\n  backdrop-filter: blur(10px);\n  border: 1px solid rgba(255, 255, 255, 0.2);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#532","title":"5.3.2 \u63d0\u793a\u6846\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5321","title":"5.3.2.1 \u4fe1\u606f\u63d0\u793a","text":"CSS<pre><code>/* docs/stylesheets/components/alerts.css */\n\n/* \u57fa\u7840\u63d0\u793a\u6846 */\n.alert {\n  padding: 1rem 1.5rem;\n  margin: 1rem 0;\n  border-left: 4px solid;\n  border-radius: 4px;\n}\n\n/* \u4fe1\u606f\u63d0\u793a */\n.alert--info {\n  background-color: #e3f2fd;\n  border-color: #2196f3;\n  color: #0d47a1;\n}\n\n.alert--info::before {\n  content: \"\u2139\ufe0f\";\n  margin-right: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5322","title":"5.3.2.2 \u8b66\u544a\u63d0\u793a","text":"CSS<pre><code>/* \u8b66\u544a\u63d0\u793a */\n.alert--warning {\n  background-color: #fff3e0;\n  border-color: #ff9800;\n  color: #e65100;\n}\n\n.alert--warning::before {\n  content: \"\u26a0\ufe0f\";\n  margin-right: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5323","title":"5.3.2.3 \u9519\u8bef\u63d0\u793a","text":"CSS<pre><code>/* \u9519\u8bef\u63d0\u793a */\n.alert--error {\n  background-color: #ffebee;\n  border-color: #f44336;\n  color: #b71c1c;\n}\n\n.alert--error::before {\n  content: \"\u274c\";\n  margin-right: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#533","title":"5.3.3 \u53cb\u94fe\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5331","title":"5.3.3.1 \u53cb\u94fe\u5361\u7247","text":"CSS<pre><code>/* docs/stylesheets/components/friends.css */\n\n/* \u53cb\u94fe\u5bb9\u5668 */\n.friend-links {\n  display: grid;\n  grid-template-columns: repeat(auto-fill, minmax(250px, 1fr));\n  gap: 1.5rem;\n  margin: 2rem 0;\n}\n\n/* \u53cb\u94fe\u5361\u7247 */\n.friend-link {\n  display: flex;\n  align-items: center;\n  padding: 1rem;\n  background: var(--md-default-bg-color);\n  border-radius: 8px;\n  box-shadow: var(--md-shadow-z1);\n  transition: all 0.3s ease;\n}\n\n/* \u5934\u50cf */\n.friend-link__avatar {\n  width: 60px;\n  height: 60px;\n  border-radius: 50%;\n  margin-right: 1rem;\n}\n\n/* \u4fe1\u606f */\n.friend-link__info {\n  flex: 1;\n}\n\n.friend-link__name {\n  font-weight: 600;\n  color: var(--md-typeset-color);\n}\n\n.friend-link__desc {\n  font-size: 0.85rem;\n  color: var(--md-default-fg-color--light);\n  margin-top: 0.25rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5332","title":"5.3.3.2 \u5206\u7c7b\u5c55\u793a","text":"CSS<pre><code>/* \u53cb\u94fe\u5206\u7c7b */\n.friend-links-section {\n  margin: 2rem 0;\n}\n\n/* \u5206\u7c7b\u6807\u9898 */\n.friend-links-section__title {\n  font-size: 1.25rem;\n  font-weight: 600;\n  margin-bottom: 1rem;\n  padding-left: 1rem;\n  border-left: 4px solid var(--md-accent-fg-color);\n}\n\n/* \u5206\u7c7b\u63cf\u8ff0 */\n.friend-links-section__desc {\n  color: var(--md-default-fg-color--light);\n  margin-bottom: 1.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5333","title":"5.3.3.3 \u60ac\u505c\u6548\u679c","text":"CSS<pre><code>/* \u60ac\u505c\u6548\u679c */\n.friend-link:hover {\n  transform: translateY(-2px);\n  box-shadow: var(--md-shadow-z2);\n}\n\n/* \u5934\u50cf\u52a8\u753b */\n.friend-link:hover .friend-link__avatar {\n  transform: rotate(360deg);\n  transition: transform 0.6s ease;\n}\n\n/* \u6807\u7b7e\u6548\u679c */\n.friend-link__tag {\n  display: inline-block;\n  padding: 0.2rem 0.5rem;\n  font-size: 0.75rem;\n  border-radius: 12px;\n  background-color: var(--md-code-bg-color);\n  margin-top: 0.5rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#534","title":"5.3.4 \u65f6\u95f4\u7ebf\u6837\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#5341","title":"5.3.4.1 \u65f6\u95f4\u8f74\u8bbe\u8ba1","text":"CSS<pre><code>/* docs/stylesheets/components/timeline.css */\n\n/* \u65f6\u95f4\u7ebf\u5bb9\u5668 */\n.timeline {\n  position: relative;\n  max-width: 800px;\n  margin: 2rem auto;\n  padding: 2rem 0;\n}\n\n/* \u65f6\u95f4\u8f74\u7ebf */\n.timeline::before {\n  content: '';\n  position: absolute;\n  top: 0;\n  left: calc(50% - 1px);\n  width: 2px;\n  height: 100%;\n  background-color: var(--md-default-fg-color--lightest);\n}\n\n/* \u65f6\u95f4\u7ebf\u9879\u76ee */\n.timeline-item {\n  position: relative;\n  margin: 2rem 0;\n}\n\n/* \u4ea4\u9519\u5e03\u5c40 */\n.timeline-item:nth-child(odd) {\n  padding-right: calc(50% + 2rem);\n}\n\n.timeline-item:nth-child(even) {\n  padding-left: calc(50% + 2rem);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5342","title":"5.3.4.2 \u8282\u70b9\u6837\u5f0f","text":"CSS<pre><code>/* \u65f6\u95f4\u8282\u70b9 */\n.timeline-node {\n  position: absolute;\n  top: 50%;\n  width: 16px;\n  height: 16px;\n  background-color: var(--md-primary-fg-color);\n  border-radius: 50%;\n  transform: translateY(-50%);\n}\n\n.timeline-item:nth-child(odd) .timeline-node {\n  right: calc(50% - 8px);\n}\n\n.timeline-item:nth-child(even) .timeline-node {\n  left: calc(50% - 8px);\n}\n\n/* \u8282\u70b9\u5185\u5bb9 */\n.timeline-content {\n  background-color: var(--md-default-bg-color);\n  padding: 1.5rem;\n  border-radius: 8px;\n  box-shadow: var(--md-shadow-z1);\n}\n\n/* \u65f6\u95f4\u6807\u7b7e */\n.timeline-date {\n  position: absolute;\n  top: 50%;\n  color: var(--md-default-fg-color--light);\n  transform: translateY(-50%);\n}\n\n.timeline-item:nth-child(odd) .timeline-date {\n  left: calc(50% + 2rem);\n}\n\n.timeline-item:nth-child(even) .timeline-date {\n  right: calc(50% + 2rem);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5343","title":"5.3.4.3 \u54cd\u5e94\u5f0f\u9002\u914d","text":"CSS<pre><code>/* \u79fb\u52a8\u7aef\u9002\u914d */\n@media screen and (max-width: 768px) {\n  .timeline::before {\n    left: 0;\n  }\n\n  .timeline-item {\n    padding-left: 2rem !important;\n    padding-right: 0 !important;\n  }\n\n  .timeline-node {\n    left: -8px !important;\n    right: auto !important;\n  }\n\n  .timeline-date {\n    position: relative;\n    top: auto;\n    left: auto !important;\n    right: auto !important;\n    margin-bottom: 0.5rem;\n  }\n}\n\n/* \u5e73\u677f\u7aef\u9002\u914d */\n@media screen and (min-width: 769px) and (max-width: 1024px) {\n  .timeline {\n    max-width: 90%;\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#5344","title":"5.3.4.4 \u4f7f\u7528\u793a\u4f8b","text":"HTML<pre><code>&lt;!-- \u65f6\u95f4\u7ebf\u793a\u4f8b --&gt;\n&lt;div class=\"timeline\"&gt;\n  &lt;div class=\"timeline-item\"&gt;\n    &lt;div class=\"timeline-node\"&gt;&lt;/div&gt;\n    &lt;div class=\"timeline-date\"&gt;2024-01-01&lt;/div&gt;\n    &lt;div class=\"timeline-content\"&gt;\n      &lt;h3&gt;\u4e8b\u4ef6\u6807\u9898&lt;/h3&gt;\n      &lt;p&gt;\u4e8b\u4ef6\u63cf\u8ff0...&lt;/p&gt;\n    &lt;/div&gt;\n  &lt;/div&gt;\n\n  &lt;!-- \u66f4\u591a\u65f6\u95f4\u7ebf\u9879\u76ee --&gt;\n&lt;/div&gt;\n\n&lt;!-- \u53cb\u94fe\u793a\u4f8b --&gt;\n&lt;div class=\"friend-links-section\"&gt;\n  &lt;h2 class=\"friend-links-section__title\"&gt;\u6280\u672f\u535a\u5ba2&lt;/h2&gt;\n  &lt;p class=\"friend-links-section__desc\"&gt;\u4f18\u79c0\u7684\u6280\u672f\u535a\u5ba2\u6536\u85cf&lt;/p&gt;\n  &lt;div class=\"friend-links\"&gt;\n    &lt;a href=\"#\" class=\"friend-link\"&gt;\n      &lt;img src=\"avatar.jpg\" class=\"friend-link__avatar\"&gt;\n      &lt;div class=\"friend-link__info\"&gt;\n        &lt;div class=\"friend-link__name\"&gt;\u535a\u5ba2\u540d\u79f0&lt;/div&gt;\n        &lt;div class=\"friend-link__desc\"&gt;\u535a\u5ba2\u63cf\u8ff0&lt;/div&gt;\n        &lt;span class=\"friend-link__tag\"&gt;\u6807\u7b7e&lt;/span&gt;\n      &lt;/div&gt;\n    &lt;/a&gt;\n  &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;!-- \u63d0\u793a\u6846\u793a\u4f8b --&gt;\n&lt;div class=\"alert alert--info\"&gt;\n  \u8fd9\u662f\u4e00\u6761\u4fe1\u606f\u63d0\u793a\n&lt;/div&gt;\n\n&lt;div class=\"alert alert--warning\"&gt;\n  \u8fd9\u662f\u4e00\u6761\u8b66\u544a\u63d0\u793a\n&lt;/div&gt;\n\n&lt;div class=\"alert alert--error\"&gt;\n  \u8fd9\u662f\u4e00\u6761\u9519\u8bef\u63d0\u793a\n&lt;/div&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#535","title":"5.3.5 \u5b8c\u6574\u914d\u7f6e","text":"YAML<pre><code># mkdocs.yml\nextra_css:\n  - stylesheets/components/cards.css\n  - stylesheets/components/alerts.css\n  - stylesheets/components/friends.css\n  - stylesheets/components/timeline.css\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6-javascript","title":"6 JavaScript \u589e\u5f3a","text":""},{"location":"Technology/mkdocs%20material/#61","title":"6.1 \u57fa\u7840\u914d\u7f6e","text":""},{"location":"Technology/mkdocs%20material/#611-js","title":"6.1.1 \u5f15\u5165 JS \u6587\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#6111","title":"6.1.1.1 \u672c\u5730\u6587\u4ef6","text":"<ol> <li>\u521b\u5efa\u57fa\u7840\u76ee\u5f55\u7ed3\u6784\uff1a</li> </ol> Text Only<pre><code>docs/\n\u251c\u2500\u2500 javascripts/\n\u2502   \u251c\u2500\u2500 config/             # \u914d\u7f6e\u6587\u4ef6\n\u2502   \u2502   \u2514\u2500\u2500 main.js\n\u2502   \u251c\u2500\u2500 modules/            # \u529f\u80fd\u6a21\u5757\n\u2502   \u2502   \u251c\u2500\u2500 search.js\n\u2502   \u2502   \u2514\u2500\u2500 theme.js\n\u2502   \u251c\u2500\u2500 utils/             # \u5de5\u5177\u51fd\u6570\n\u2502   \u2502   \u2514\u2500\u2500 helpers.js\n\u2502   \u2514\u2500\u2500 extra.js           # \u4e3b\u5165\u53e3\u6587\u4ef6\n</code></pre> <ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u5f15\u5165\uff1a</li> </ol> YAML<pre><code>extra_javascript:\n  - javascripts/extra.js\n  - javascripts/modules/search.js\n  - javascripts/modules/theme.js\n</code></pre> <ol> <li>JavaScript \u6587\u4ef6\u793a\u4f8b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/extra.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u521d\u59cb\u5316\u4ee3\u7801\n    console.log('Documentation loaded');\n});\n\n// docs/javascripts/modules/theme.js\nconst ThemeManager = {\n    init() {\n        // \u4e3b\u9898\u521d\u59cb\u5316\n    },\n    toggle() {\n        // \u4e3b\u9898\u5207\u6362\n    }\n};\n\n// docs/javascripts/utils/helpers.js\nconst Helpers = {\n    debounce(fn, delay) {\n        let timer = null;\n        return function() {\n            clearTimeout(timer);\n            timer = setTimeout(() =&gt; fn.apply(this, arguments), delay);\n        };\n    }\n};\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6112-cdn","title":"6.1.1.2 CDN \u5f15\u5165","text":"<ol> <li>\u5e38\u7528 CDN \u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra_javascript:\n  # KaTeX \u6570\u5b66\u516c\u5f0f\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n\n  # Mermaid \u56fe\u8868\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n\n  # \u4ee3\u7801\u9ad8\u4eae\n  - https://cdnjs.cloudflare.com/ajax/libs/prism/1.29.0/prism.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/prism/1.29.0/components/prism-python.min.js\n</code></pre> <ol> <li>CDN \u52a0\u901f\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  cdn:\n    # \u4f7f\u7528\u56fd\u5185 CDN\n    enable: true\n    provider: jsdelivr  # \u6216 unpkg, cdnjs\n    urls:\n      katex: https://cdn.jsdelivr.net/npm/katex@0.16.7/dist/katex.min.js\n      mermaid: https://cdn.jsdelivr.net/npm/mermaid@9/dist/mermaid.min.js\n</code></pre> <ol> <li>CDN \u6545\u969c\u5904\u7406\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/config/cdn-fallback.js\nfunction loadFallbackScript(url, fallbackUrl) {\n    const script = document.createElement('script');\n    script.src = url;\n    script.onerror = () =&gt; {\n        console.warn(`Failed to load ${url}, trying fallback...`);\n        const fallback = document.createElement('script');\n        fallback.src = fallbackUrl;\n        document.head.appendChild(fallback);\n    };\n    document.head.appendChild(script);\n}\n\n// \u4f7f\u7528\u793a\u4f8b\nloadFallbackScript(\n    'https://cdn.jsdelivr.net/npm/katex@0.16.7/dist/katex.min.js',\n    'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js'\n);\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6113","title":"6.1.1.3 \u6a21\u5757\u5316\u7ba1\u7406","text":"<ol> <li>\u4f7f\u7528 ES6 \u6a21\u5757\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/modules/theme.js\nexport class ThemeManager {\n    constructor() {\n        this.darkMode = false;\n    }\n\n    init() {\n        this.loadPreference();\n        this.bindEvents();\n    }\n\n    toggle() {\n        this.darkMode = !this.darkMode;\n        this.savePreference();\n        this.applyTheme();\n    }\n}\n\n// docs/javascripts/modules/search.js\nexport class SearchManager {\n    constructor() {\n        this.index = null;\n    }\n\n    init() {\n        this.buildIndex();\n        this.bindSearchEvents();\n    }\n\n    search(query) {\n        // \u641c\u7d22\u5b9e\u73b0\n    }\n}\n\n// docs/javascripts/extra.js\nimport { ThemeManager } from './modules/theme.js';\nimport { SearchManager } from './modules/search.js';\n\nconst theme = new ThemeManager();\nconst search = new SearchManager();\n\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    theme.init();\n    search.init();\n});\n</code></pre> <ol> <li>\u6a21\u5757\u914d\u7f6e\u6587\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/config/modules.js\nexport const ModuleConfig = {\n    theme: {\n        enabled: true,\n        darkModeClass: 'dark-mode',\n        storageKey: 'theme-preference'\n    },\n    search: {\n        enabled: true,\n        minChars: 3,\n        maxResults: 10\n    }\n};\n\n// \u4f7f\u7528\u914d\u7f6e\nimport { ModuleConfig } from '../config/modules.js';\n\nclass ThemeManager {\n    constructor() {\n        this.config = ModuleConfig.theme;\n        if (!this.config.enabled) return;\n        // \u521d\u59cb\u5316\u4ee3\u7801\n    }\n}\n</code></pre> <ol> <li>\u5de5\u5177\u51fd\u6570\u6a21\u5757\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/utils/helpers.js\nexport const DOM = {\n    // DOM \u64cd\u4f5c\u8f85\u52a9\u51fd\u6570\n    select: (selector) =&gt; document.querySelector(selector),\n    selectAll: (selector) =&gt; document.querySelectorAll(selector),\n    addClass: (element, className) =&gt; element.classList.add(className),\n    removeClass: (element, className) =&gt; element.classList.remove(className)\n};\n\nexport const Storage = {\n    // \u672c\u5730\u5b58\u50a8\u8f85\u52a9\u51fd\u6570\n    get: (key) =&gt; localStorage.getItem(key),\n    set: (key, value) =&gt; localStorage.setItem(key, value),\n    remove: (key) =&gt; localStorage.removeItem(key)\n};\n\nexport const Events = {\n    // \u4e8b\u4ef6\u5904\u7406\u8f85\u52a9\u51fd\u6570\n    on: (element, event, handler) =&gt; element.addEventListener(event, handler),\n    off: (element, event, handler) =&gt; element.removeEventListener(event, handler),\n    trigger: (element, event) =&gt; element.dispatchEvent(new Event(event))\n};\n</code></pre> <ol> <li>\u5b8c\u6574\u914d\u7f6e\u793a\u4f8b\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra_javascript:\n  # \u6838\u5fc3\u6587\u4ef6\n  - javascripts/extra.js\n  - javascripts/config/modules.js\n\n  # \u529f\u80fd\u6a21\u5757\n  - javascripts/modules/theme.js\n  - javascripts/modules/search.js\n\n  # \u5de5\u5177\u51fd\u6570\n  - javascripts/utils/helpers.js\n\n  # \u7b2c\u4e09\u65b9\u5e93\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n\n# \u6a21\u5757\u914d\u7f6e\nextra:\n  javascript_modules:\n    theme:\n      enabled: true\n      default: light\n    search:\n      enabled: true\n      min_chars: 3\n</code></pre>"},{"location":"Technology/mkdocs%20material/#62","title":"6.2 \u7b2c\u4e09\u65b9\u5e93\u96c6\u6210","text":""},{"location":"Technology/mkdocs%20material/#621-katex","title":"6.2.1 KaTeX \u6570\u5b66\u516c\u5f0f","text":""},{"location":"Technology/mkdocs%20material/#6211","title":"6.2.1.1 \u57fa\u7840\u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>markdown_extensions:\n  - pymdownx.arithmatex:\n      generic: true\n\nextra_javascript:\n  - javascripts/katex.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js\n\nextra_css:\n  - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css\n</code></pre> <ol> <li>\u521b\u5efa KaTeX \u914d\u7f6e\u6587\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/katex.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    renderMathInElement(document.body, {\n        delimiters: [\n            {left: \"$$\", right: \"$$\", display: true},\n            {left: \"$\", right: \"$\", display: false},\n            {left: \"\\\\(\", right: \"\\\\)\", display: false},\n            {left: \"\\\\[\", right: \"\\\\]\", display: true}\n        ],\n        throwOnError: false,\n        errorColor: \"#cc0000\",\n        strict: \"ignore\"\n    });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6212","title":"6.2.1.2 \u81ea\u52a8\u6e32\u67d3","text":"<ol> <li>\u914d\u7f6e\u81ea\u52a8\u6e32\u67d3\u9009\u9879\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/katex-auto.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    renderMathInElement(document.body, {\n        delimiters: [\n            {left: \"$$\", right: \"$$\", display: true},\n            {left: \"$\", right: \"$\", display: false}\n        ],\n        // \u81ea\u52a8\u6e32\u67d3\u8bbe\u7f6e\n        ignoredTags: [\"script\", \"noscript\", \"style\", \"textarea\", \"pre\", \"code\"],\n        ignoredClasses: [\"no-math\"],\n        processEscapes: true,\n        processEnvironments: true,\n        // \u5904\u7406\u81ea\u5b9a\u4e49\u5b8f\n        macros: {\n            \"\\\\RR\": \"\\\\mathbb{R}\",\n            \"\\\\NN\": \"\\\\mathbb{N}\",\n            \"\\\\ZZ\": \"\\\\mathbb{Z}\"\n        }\n    });\n});\n</code></pre> <ol> <li>\u4f7f\u7528\u793a\u4f8b\uff1a</li> </ol> Markdown<pre><code>\u884c\u5185\u516c\u5f0f\uff1a$E = mc^2$\n\n\u5757\u7ea7\u516c\u5f0f\uff1a\n$$\n\\frac{n!}{k!(n-k)!} = \\binom{n}{k}\n$$\n\n\u81ea\u5b9a\u4e49\u5b8f\uff1a$\\RR$ \u8868\u793a\u5b9e\u6570\u96c6\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6213","title":"6.2.1.3 \u516c\u5f0f\u7f16\u53f7","text":"<ol> <li>\u542f\u7528\u516c\u5f0f\u7f16\u53f7\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/katex-numbering.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    // \u516c\u5f0f\u7f16\u53f7\u8ba1\u6570\u5668\n    let equationNumbers = {};\n    let numberings = {};\n\n    renderMathInElement(document.body, {\n        delimiters: [\n            {left: \"$$\", right: \"$$\", display: true}\n        ],\n        // \u516c\u5f0f\u7f16\u53f7\u5904\u7406\n        preProcess: (math) =&gt; {\n            if (math.includes('\\\\label')) {\n                const label = math.match(/\\\\label{([^}]*)}/)[1];\n                const number = Object.keys(numberings).length + 1;\n                numberings[label] = number;\n                return math.replace(/\\\\label{[^}]*}/, `(${number})`);\n            }\n            return math;\n        }\n    });\n});\n</code></pre> <ol> <li>\u4f7f\u7528\u7f16\u53f7\u548c\u5f15\u7528\uff1a</li> </ol> Markdown<pre><code>\u5e26\u7f16\u53f7\u7684\u516c\u5f0f\uff1a\n$$\nE = mc^2 \\label{eq:einstein}\n$$\n\n\u5f15\u7528\u4e0a\u9762\u7684\u516c\u5f0f $\\eqref{eq:einstein}$\n</code></pre>"},{"location":"Technology/mkdocs%20material/#622-mermaid","title":"6.2.2 Mermaid \u56fe\u8868","text":""},{"location":"Technology/mkdocs%20material/#6221","title":"6.2.2.1 \u521d\u59cb\u5316\u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>markdown_extensions:\n  - pymdownx.superfences:\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n\nextra_javascript:\n  - https://unpkg.com/mermaid@9/dist/mermaid.min.js\n  - javascripts/mermaid.js\n</code></pre> <ol> <li>\u521b\u5efa Mermaid \u914d\u7f6e\u6587\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/mermaid.js\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    mermaid.initialize({\n        startOnLoad: true,\n        theme: 'default',\n        sequence: {\n            showSequenceNumbers: true,\n            actorMargin: 50,\n            messageMargin: 40\n        },\n        flowchart: {\n            useMaxWidth: false,\n            htmlLabels: true,\n            curve: 'basis'\n        },\n        gantt: {\n            titleTopMargin: 25,\n            barHeight: 20,\n            barGap: 4\n        }\n    });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6222","title":"6.2.2.2 \u4e3b\u9898\u5b9a\u5236","text":"<ol> <li>\u81ea\u5b9a\u4e49\u4e3b\u9898\u914d\u7f6e\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/mermaid-theme.js\nmermaid.initialize({\n    theme: 'base',\n    themeVariables: {\n        // \u57fa\u7840\u989c\u8272\n        primaryColor: '#2196f3',\n        primaryTextColor: '#fff',\n        primaryBorderColor: '#1976d2',\n        lineColor: '#696969',\n\n        // \u6d41\u7a0b\u56fe\u989c\u8272\n        nodeBkg: '#fff',\n        mainBkg: '#f8f9fa',\n        nodeTextColor: '#333',\n\n        // \u65f6\u5e8f\u56fe\u989c\u8272\n        actorBkg: '#f8f9fa',\n        actorBorder: '#2196f3',\n        actorTextColor: '#333',\n\n        // \u7518\u7279\u56fe\u989c\u8272\n        sectionBkgColor: '#f8f9fa',\n        altSectionBkgColor: '#fff',\n\n        // \u6697\u8272\u4e3b\u9898\u652f\u6301\n        darkMode: false\n    }\n});\n</code></pre> <ol> <li>\u54cd\u5e94\u4e3b\u9898\u5207\u6362\uff1a</li> </ol> JavaScript<pre><code>// \u76d1\u542c\u4e3b\u9898\u5207\u6362\ndocument.addEventListener('themeChanged', function(e) {\n    const isDark = e.detail.theme === 'dark';\n    mermaid.initialize({\n        theme: isDark ? 'dark' : 'default',\n        themeVariables: {\n            darkMode: isDark\n        }\n    });\n    // \u91cd\u65b0\u6e32\u67d3\u56fe\u8868\n    mermaid.init(undefined, '.mermaid');\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6223","title":"6.2.2.3 \u4ea4\u4e92\u529f\u80fd","text":"<ol> <li>\u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/mermaid-interaction.js\nmermaid.initialize({\n    securityLevel: 'loose',\n    flowchart: {\n        htmlLabels: true,\n        useMaxWidth: true\n    }\n});\n\ndocument.addEventListener(\"DOMContentLoaded\", function() {\n    // \u4e3a\u56fe\u8868\u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\n    const diagrams = document.querySelectorAll('.mermaid');\n    diagrams.forEach(diagram =&gt; {\n        diagram.addEventListener('click', function(e) {\n            const target = e.target;\n            if (target.tagName === 'g' &amp;&amp; target.classList.contains('node')) {\n                const nodeId = target.id;\n                console.log('Clicked node:', nodeId);\n                // \u5904\u7406\u8282\u70b9\u70b9\u51fb\n                handleNodeClick(nodeId);\n            }\n        });\n    });\n});\n\nfunction handleNodeClick(nodeId) {\n    // \u8282\u70b9\u70b9\u51fb\u5904\u7406\n    const node = document.getElementById(nodeId);\n    if (node) {\n        // \u6dfb\u52a0\u9ad8\u4eae\u6548\u679c\n        node.classList.add('node-highlight');\n        setTimeout(() =&gt; {\n            node.classList.remove('node-highlight');\n        }, 1000);\n    }\n}\n</code></pre> <ol> <li>\u6dfb\u52a0\u56fe\u8868\u52a8\u753b\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/mermaid.css */\n.mermaid .node-highlight {\n    animation: pulse 1s;\n}\n\n@keyframes pulse {\n    0% { opacity: 1; }\n    50% { opacity: 0.5; }\n    100% { opacity: 1; }\n}\n\n.mermaid .flowchart-link {\n    transition: stroke-width 0.3s ease;\n}\n\n.mermaid .flowchart-link:hover {\n    stroke-width: 2px;\n    cursor: pointer;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6224","title":"6.2.2.4 \u4f7f\u7528\u793a\u4f8b","text":"<ol> <li>\u6d41\u7a0b\u56fe\u793a\u4f8b\uff1a</li> </ol> Markdown<pre><code>```mermaid\ngraph TD\n    A[\u5f00\u59cb] --&gt; B{\u5224\u65ad}\n    B --&gt;|Yes| C[\u5904\u7406]\n    B --&gt;|No| D[\u7ed3\u675f]\n    C --&gt; D\n```\n</code></pre> <ol> <li>\u65f6\u5e8f\u56fe\u793a\u4f8b\uff1a</li> </ol> Markdown<pre><code>```mermaid\nsequenceDiagram\n    participant \u5ba2\u6237\u7aef\n    participant \u670d\u52a1\u5668\n\n    \u5ba2\u6237\u7aef-&gt;&gt;\u670d\u52a1\u5668: \u8bf7\u6c42\u6570\u636e\n    \u670d\u52a1\u5668--&gt;&gt;\u5ba2\u6237\u7aef: \u8fd4\u56de\u54cd\u5e94\n```\n</code></pre>"},{"location":"Technology/mkdocs%20material/#623","title":"6.2.3 \u4ee3\u7801\u590d\u5236","text":""},{"location":"Technology/mkdocs%20material/#6231","title":"6.2.3.1 \u590d\u5236\u6309\u94ae","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>theme:\n  features:\n    - content.code.copy\n\nextra_css:\n  - stylesheets/code-copy.css\nextra_javascript:\n  - javascripts/code-copy.js\n</code></pre> <ol> <li>\u521b\u5efa\u590d\u5236\u6309\u94ae\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/code-copy.css */\n\n/* \u590d\u5236\u6309\u94ae\u5bb9\u5668 */\n.copy-button {\n  position: absolute;\n  right: 0.5rem;\n  top: 0.5rem;\n  padding: 0.4rem;\n  background-color: rgba(0, 0, 0, 0.1);\n  border: none;\n  border-radius: 4px;\n  cursor: pointer;\n  transition: all 0.2s ease;\n}\n\n/* \u6309\u94ae\u60ac\u505c\u6548\u679c */\n.copy-button:hover {\n  background-color: rgba(0, 0, 0, 0.2);\n}\n\n/* \u56fe\u6807\u6837\u5f0f */\n.copy-button i {\n  font-size: 1rem;\n  color: var(--md-default-fg-color--light);\n}\n\n/* \u6210\u529f\u72b6\u6001 */\n.copy-button.success {\n  background-color: var(--md-accent-fg-color);\n}\n\n.copy-button.success i {\n  color: white;\n}\n</code></pre> <ol> <li>\u5b9e\u73b0\u590d\u5236\u529f\u80fd\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/code-copy.js\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  // \u4e3a\u6240\u6709\u4ee3\u7801\u5757\u6dfb\u52a0\u590d\u5236\u6309\u94ae\n  const codeBlocks = document.querySelectorAll('pre code');\n\n  codeBlocks.forEach((codeBlock) =&gt; {\n    const container = codeBlock.parentNode;\n    const copyButton = document.createElement('button');\n    copyButton.className = 'copy-button';\n    copyButton.innerHTML = '&lt;i class=\"material-icons\"&gt;content_copy&lt;/i&gt;';\n    container.style.position = 'relative';\n    container.appendChild(copyButton);\n\n    // \u6dfb\u52a0\u70b9\u51fb\u4e8b\u4ef6\n    copyButton.addEventListener('click', async () =&gt; {\n      try {\n        await navigator.clipboard.writeText(codeBlock.textContent);\n        showSuccess(copyButton);\n      } catch (err) {\n        showError(copyButton);\n      }\n    });\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6232","title":"6.2.3.2 \u63d0\u793a\u6d88\u606f","text":"<ol> <li>\u521b\u5efa\u63d0\u793a\u6d88\u606f\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* \u63d0\u793a\u6d88\u606f\u6837\u5f0f */\n.copy-tooltip {\n  position: absolute;\n  top: -2rem;\n  right: 0;\n  padding: 0.4rem 0.8rem;\n  background-color: var(--md-default-fg-color);\n  color: var(--md-default-bg-color);\n  border-radius: 4px;\n  font-size: 0.8rem;\n  opacity: 0;\n  transform: translateY(0.4rem);\n  transition: all 0.2s ease;\n}\n\n.copy-tooltip.show {\n  opacity: 1;\n  transform: translateY(0);\n}\n</code></pre> <ol> <li>\u5b9e\u73b0\u63d0\u793a\u529f\u80fd\uff1a</li> </ol> JavaScript<pre><code>// \u663e\u793a\u63d0\u793a\u6d88\u606f\nfunction showTooltip(button, message, type = 'success') {\n  const tooltip = document.createElement('div');\n  tooltip.className = `copy-tooltip ${type}`;\n  tooltip.textContent = message;\n  button.appendChild(tooltip);\n\n  // \u6dfb\u52a0\u663e\u793a\u7c7b\n  setTimeout(() =&gt; tooltip.classList.add('show'), 10);\n\n  // \u81ea\u52a8\u79fb\u9664\n  setTimeout(() =&gt; {\n    tooltip.classList.remove('show');\n    setTimeout(() =&gt; tooltip.remove(), 200);\n  }, 2000);\n}\n\n// \u6210\u529f\u63d0\u793a\nfunction showSuccess(button) {\n  button.classList.add('success');\n  showTooltip(button, '\u590d\u5236\u6210\u529f\uff01');\n  setTimeout(() =&gt; button.classList.remove('success'), 2000);\n}\n\n// \u9519\u8bef\u63d0\u793a\nfunction showError(button) {\n  button.classList.add('error');\n  showTooltip(button, '\u590d\u5236\u5931\u8d25\uff01', 'error');\n  setTimeout(() =&gt; button.classList.remove('error'), 2000);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6233","title":"6.2.3.3 \u590d\u5236\u56de\u8c03","text":"JavaScript<pre><code>// \u5b9a\u4e49\u590d\u5236\u4e8b\u4ef6\u5904\u7406\u5668\nconst copyHandlers = {\n  // \u590d\u5236\u524d\u5904\u7406\n  beforeCopy: (code) =&gt; {\n    // \u53ef\u4ee5\u5728\u8fd9\u91cc\u5bf9\u4ee3\u7801\u8fdb\u884c\u9884\u5904\u7406\n    return code.trim();\n  },\n\n  // \u590d\u5236\u6210\u529f\u56de\u8c03\n  onSuccess: (button, code) =&gt; {\n    console.log('Copied:', code.length, 'characters');\n    showSuccess(button);\n\n    // \u89e6\u53d1\u81ea\u5b9a\u4e49\u4e8b\u4ef6\n    const event = new CustomEvent('codeCopied', {\n      detail: { code }\n    });\n    document.dispatchEvent(event);\n  },\n\n  // \u590d\u5236\u5931\u8d25\u56de\u8c03\n  onError: (button, error) =&gt; {\n    console.error('Copy failed:', error);\n    showError(button);\n  }\n};\n\n// \u4f7f\u7528\u56de\u8c03\nasync function copyCode(button, code) {\n  try {\n    const processedCode = copyHandlers.beforeCopy(code);\n    await navigator.clipboard.writeText(processedCode);\n    copyHandlers.onSuccess(button, processedCode);\n  } catch (err) {\n    copyHandlers.onError(button, err);\n  }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#624","title":"6.2.4 \u56fe\u7247\u9884\u89c8","text":""},{"location":"Technology/mkdocs%20material/#6241-lightbox","title":"6.2.4.1 lightbox \u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>markdown_extensions:\n  - attr_list\n  - md_in_html\n\nplugins:\n  - glightbox\n\nextra_css:\n  - stylesheets/glightbox.css\nextra_javascript:\n  - javascripts/glightbox.js\n</code></pre> <ol> <li>\u914d\u7f6e GLightbox\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/glightbox.js\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  const lightbox = GLightbox({\n    selector: '.glightbox',\n    touchNavigation: true,\n    loop: false,\n    autoplayVideos: true,\n    preload: true,\n    // \u57fa\u672c\u8bbe\u7f6e\n    height: 'auto',\n    zoomable: true,\n    draggable: true,\n    // \u52a8\u753b\u8bbe\u7f6e\n    openEffect: 'zoom',\n    closeEffect: 'fade',\n    cssEfects: {\n      fade: { in: 'fadeIn', out: 'fadeOut' },\n      zoom: { in: 'zoomIn', out: 'zoomOut' }\n    }\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6242","title":"6.2.4.2 \u7f29\u653e\u529f\u80fd","text":"JavaScript<pre><code>// \u7f29\u653e\u529f\u80fd\u914d\u7f6e\nconst zoomConfig = {\n  // \u7f29\u653e\u9009\u9879\n  zoomable: true,\n  dragToZoom: true,\n  touchToZoom: true,\n\n  // \u7f29\u653e\u7ea7\u522b\n  minZoom: 0.5,\n  maxZoom: 3,\n  zoomStep: 0.5,\n\n  // \u53cc\u51fb\u7f29\u653e\n  doubleTapZoom: 2,\n\n  // \u7f29\u653e\u52a8\u753b\n  zoomAnimation: true,\n  zoomDuration: 300,\n\n  // \u7f29\u653e\u63a7\u5236\u5668\n  controls: {\n    zoom: true,\n    zoomIn: true,\n    zoomOut: true,\n    rotate: true\n  }\n};\n\n// \u5e94\u7528\u7f29\u653e\u914d\u7f6e\nconst lightbox = GLightbox({\n  ...zoomConfig,\n\n  // \u7f29\u653e\u4e8b\u4ef6\u5904\u7406\n  onZoom: (slider) =&gt; {\n    const { zoom, image } = slider;\n    console.log(`Current zoom level: ${zoom}`);\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6243","title":"6.2.4.3 \u624b\u52bf\u652f\u6301","text":"JavaScript<pre><code>// \u624b\u52bf\u914d\u7f6e\nconst gestureConfig = {\n  // \u89e6\u6478\u5bfc\u822a\n  touchNavigation: true,\n  touchFollowAxis: true,\n\n  // \u62d6\u52a8\u8bbe\u7f6e\n  draggable: true,\n  dragToleranceX: 40,\n  dragToleranceY: 65,\n\n  // \u624b\u52bf\u4e8b\u4ef6\n  gestures: {\n    // \u634f\u5408\u7f29\u653e\n    pinchToZoom: true,\n    pinchThreshold: 50,\n\n    // \u53cc\u6307\u65cb\u8f6c\n    rotateToZoom: true,\n    rotateThreshold: 15,\n\n    // \u6ed1\u52a8\u5207\u6362\n    swipeThreshold: 50,\n    swipeToClose: true\n  }\n};\n\n// \u624b\u52bf\u4e8b\u4ef6\u5904\u7406\nconst gestureHandlers = {\n  // \u89e6\u6478\u5f00\u59cb\n  onTouchStart: (e) =&gt; {\n    const touch = e.touches[0];\n    startX = touch.clientX;\n    startY = touch.clientY;\n  },\n\n  // \u89e6\u6478\u79fb\u52a8\n  onTouchMove: (e) =&gt; {\n    if (!isDragging) return;\n    const touch = e.touches[0];\n    const deltaX = touch.clientX - startX;\n    const deltaY = touch.clientY - startY;\n\n    // \u5904\u7406\u79fb\u52a8\n    handleImageMove(deltaX, deltaY);\n  },\n\n  // \u89e6\u6478\u7ed3\u675f\n  onTouchEnd: (e) =&gt; {\n    isDragging = false;\n    // \u5904\u7406\u60ef\u6027\u6ed1\u52a8\n    handleMomentum();\n  }\n};\n\n// \u521b\u5efa\u589e\u5f3a\u7684\u56fe\u7247\u9884\u89c8\nconst enhancedLightbox = GLightbox({\n  ...zoomConfig,\n  ...gestureConfig,\n\n  // \u4e8b\u4ef6\u76d1\u542c\n  listeners: {\n    touchstart: gestureHandlers.onTouchStart,\n    touchmove: gestureHandlers.onTouchMove,\n    touchend: gestureHandlers.onTouchEnd\n  }\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6244","title":"6.2.4.4 \u5b8c\u6574\u793a\u4f8b","text":"JavaScript<pre><code>// docs/javascripts/image-preview.js\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n  // \u521d\u59cb\u5316\u914d\u7f6e\n  const config = {\n    // \u57fa\u7840\u8bbe\u7f6e\n    selector: '.glightbox',\n    touchNavigation: true,\n    loop: false,\n\n    // \u7f29\u653e\u8bbe\u7f6e\n    zoomable: true,\n    draggable: true,\n    dragToleranceX: 40,\n    dragToleranceY: 65,\n\n    // \u52a8\u753b\u8bbe\u7f6e\n    openEffect: 'zoom',\n    closeEffect: 'fade',\n\n    // \u624b\u52bf\u8bbe\u7f6e\n    touchFollowAxis: true,\n\n    // \u754c\u9762\u8bbe\u7f6e\n    preload: true,\n    height: 'auto',\n\n    // \u4e8b\u4ef6\u5904\u7406\n    onOpen: () =&gt; {\n      console.log('Lightbox opened');\n    },\n    onClose: () =&gt; {\n      console.log('Lightbox closed');\n    },\n    onZoom: (slider) =&gt; {\n      console.log('Image zoomed');\n    }\n  };\n\n  // \u521d\u59cb\u5316 GLightbox\n  const lightbox = GLightbox(config);\n\n  // \u6dfb\u52a0\u952e\u76d8\u652f\u6301\n  document.addEventListener('keydown', (e) =&gt; {\n    if (!lightbox.isOpen) return;\n\n    switch(e.key) {\n      case 'ArrowLeft':\n        lightbox.prev();\n        break;\n      case 'ArrowRight':\n        lightbox.next();\n        break;\n      case 'Escape':\n        lightbox.close();\n        break;\n    }\n  });\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#63","title":"6.3 \u81ea\u5b9a\u4e49\u529f\u80fd","text":""},{"location":"Technology/mkdocs%20material/#631","title":"6.3.1 \u9875\u9762\u4ea4\u4e92","text":""},{"location":"Technology/mkdocs%20material/#6311","title":"6.3.1.1 \u6eda\u52a8\u4e8b\u4ef6","text":"<ol> <li>\u57fa\u7840\u6eda\u52a8\u76d1\u542c\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/scroll.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u6eda\u52a8\u5904\u7406\u51fd\u6570\n    function handleScroll() {\n        const scrollTop = window.scrollY;\n        const windowHeight = window.innerHeight;\n        const docHeight = document.documentElement.scrollHeight;\n\n        // \u6eda\u52a8\u8fdb\u5ea6\n        const scrollPercent = (scrollTop / (docHeight - windowHeight)) * 100;\n\n        // \u66f4\u65b0\u8fdb\u5ea6\u6761\n        updateProgress(scrollPercent);\n\n        // \u5904\u7406\u5143\u7d20\u53ef\u89c1\u6027\n        handleVisibility();\n    }\n\n    // \u4f7f\u7528\u8282\u6d41\u4f18\u5316\u6eda\u52a8\u4e8b\u4ef6\n    const throttledScroll = throttle(handleScroll, 100);\n    window.addEventListener('scroll', throttledScroll);\n});\n\n// \u8282\u6d41\u51fd\u6570\nfunction throttle(fn, delay) {\n    let lastCall = 0;\n    return function(...args) {\n        const now = Date.now();\n        if (now - lastCall &gt;= delay) {\n            lastCall = now;\n            fn.apply(this, args);\n        }\n    };\n}\n</code></pre> <ol> <li>\u5143\u7d20\u53ef\u89c1\u6027\u68c0\u6d4b\uff1a</li> </ol> JavaScript<pre><code>// \u68c0\u6d4b\u5143\u7d20\u662f\u5426\u8fdb\u5165\u89c6\u53e3\nfunction handleVisibility() {\n    const elements = document.querySelectorAll('.animate-on-scroll');\n\n    elements.forEach(element =&gt; {\n        const rect = element.getBoundingClientRect();\n        const isVisible = (\n            rect.top &gt;= 0 &amp;&amp;\n            rect.left &gt;= 0 &amp;&amp;\n            rect.bottom &lt;= window.innerHeight &amp;&amp;\n            rect.right &lt;= window.innerWidth\n        );\n\n        if (isVisible) {\n            element.classList.add('is-visible');\n        }\n    });\n}\n\n// CSS \u6837\u5f0f\n.animate-on-scroll {\n    opacity: 0;\n    transform: translateY(20px);\n    transition: all 0.6s ease;\n}\n\n.animate-on-scroll.is-visible {\n    opacity: 1;\n    transform: translateY(0);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6312","title":"6.3.1.2 \u70b9\u51fb\u4e8b\u4ef6","text":"<ol> <li>\u70b9\u51fb\u5904\u7406\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/click.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u4ee3\u7801\u5757\u70b9\u51fb\u590d\u5236\n    setupCodeCopy();\n\n    // \u56fe\u7247\u70b9\u51fb\u653e\u5927\n    setupImageZoom();\n\n    // \u76ee\u5f55\u70b9\u51fb\u6eda\u52a8\n    setupTocScroll();\n});\n\n// \u4ee3\u7801\u590d\u5236\u529f\u80fd\nfunction setupCodeCopy() {\n    const codeBlocks = document.querySelectorAll('pre code');\n\n    codeBlocks.forEach(block =&gt; {\n        block.addEventListener('click', async function(e) {\n            if (e.target.classList.contains('copy-button')) {\n                try {\n                    await navigator.clipboard.writeText(block.textContent);\n                    showToast('\u590d\u5236\u6210\u529f\uff01');\n                } catch (err) {\n                    showToast('\u590d\u5236\u5931\u8d25', 'error');\n                }\n            }\n        });\n    });\n}\n\n// \u56fe\u7247\u7f29\u653e\u529f\u80fd\nfunction setupImageZoom() {\n    const images = document.querySelectorAll('.md-content img');\n\n    images.forEach(img =&gt; {\n        img.addEventListener('click', function() {\n            const overlay = document.createElement('div');\n            overlay.className = 'image-overlay';\n            overlay.innerHTML = `\n                &lt;img src=\"${img.src}\" alt=\"${img.alt}\"&gt;\n                &lt;button class=\"close-button\"&gt;\u00d7&lt;/button&gt;\n            `;\n\n            document.body.appendChild(overlay);\n\n            overlay.querySelector('.close-button').addEventListener('click', () =&gt; {\n                overlay.remove();\n            });\n        });\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6313","title":"6.3.1.3 \u952e\u76d8\u4e8b\u4ef6","text":"JavaScript<pre><code>// docs/javascripts/keyboard.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u952e\u76d8\u5bfc\u822a\n    setupKeyboardNav();\n\n    // \u641c\u7d22\u5feb\u6377\u952e\n    setupSearchShortcut();\n});\n\n// \u952e\u76d8\u5bfc\u822a\nfunction setupKeyboardNav() {\n    document.addEventListener('keydown', function(e) {\n        // ALT + \u65b9\u5411\u952e\u5bfc\u822a\n        if (e.altKey) {\n            switch(e.key) {\n                case 'ArrowLeft':  // \u4e0a\u4e00\u9875\n                    navigatePage('prev');\n                    break;\n                case 'ArrowRight':  // \u4e0b\u4e00\u9875\n                    navigatePage('next');\n                    break;\n                case 'ArrowUp':    // \u56de\u5230\u9876\u90e8\n                    window.scrollTo({top: 0, behavior: 'smooth'});\n                    break;\n                case 'ArrowDown':  // \u5230\u8fbe\u5e95\u90e8\n                    window.scrollTo({\n                        top: document.documentElement.scrollHeight,\n                        behavior: 'smooth'\n                    });\n                    break;\n            }\n        }\n    });\n}\n\n// \u641c\u7d22\u5feb\u6377\u952e\nfunction setupSearchShortcut() {\n    document.addEventListener('keydown', function(e) {\n        // \u6309\u4e0b '/' \u952e\u89e6\u53d1\u641c\u7d22\n        if (e.key === '/' &amp;&amp; !e.ctrlKey &amp;&amp; !e.altKey &amp;&amp; !e.metaKey) {\n            e.preventDefault();\n            const searchInput = document.querySelector('.md-search__input');\n            if (searchInput) {\n                searchInput.focus();\n            }\n        }\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#632","title":"6.3.2 \u52a8\u753b\u6548\u679c","text":""},{"location":"Technology/mkdocs%20material/#6321","title":"6.3.2.1 \u8fc7\u6e21\u52a8\u753b","text":"<ol> <li>\u57fa\u7840\u8fc7\u6e21\u6548\u679c\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/transitions.css */\n\n/* \u9875\u9762\u5207\u6362\u8fc7\u6e21 */\n.md-content {\n    animation: fadeIn 0.3s ease-in-out;\n}\n\n@keyframes fadeIn {\n    from {\n        opacity: 0;\n        transform: translateY(20px);\n    }\n    to {\n        opacity: 1;\n        transform: translateY(0);\n    }\n}\n\n/* \u5bfc\u822a\u8fc7\u6e21 */\n.md-nav__link {\n    transition: color 0.2s ease, padding-left 0.2s ease;\n}\n\n.md-nav__link:hover {\n    padding-left: 0.5rem;\n    color: var(--md-accent-fg-color);\n}\n</code></pre> <ol> <li>\u9875\u9762\u5207\u6362\u52a8\u753b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/transitions.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u9875\u9762\u5207\u6362\u52a8\u753b\n    setupPageTransitions();\n});\n\nfunction setupPageTransitions() {\n    // \u76d1\u542c\u9875\u9762\u5207\u6362\u4e8b\u4ef6\n    document.addEventListener('DOMContentLoaded', function() {\n        document.body.classList.add('page-transition-ready');\n    });\n\n    // \u9875\u9762\u79bb\u5f00\u52a8\u753b\n    window.addEventListener('beforeunload', function() {\n        document.body.classList.add('page-transition-exit');\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6322","title":"6.3.2.2 \u52a0\u8f7d\u52a8\u753b","text":"<ol> <li>\u521b\u5efa\u52a0\u8f7d\u52a8\u753b\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/loading.css */\n\n/* \u52a0\u8f7d\u52a8\u753b\u5bb9\u5668 */\n.loading-overlay {\n    position: fixed;\n    top: 0;\n    left: 0;\n    right: 0;\n    bottom: 0;\n    background-color: var(--md-default-bg-color);\n    display: flex;\n    justify-content: center;\n    align-items: center;\n    z-index: 999;\n    opacity: 1;\n    transition: opacity 0.3s ease;\n}\n\n/* \u52a0\u8f7d\u52a8\u753b */\n.loading-spinner {\n    width: 40px;\n    height: 40px;\n    border: 3px solid var(--md-primary-fg-color--light);\n    border-top-color: var(--md-primary-fg-color);\n    border-radius: 50%;\n    animation: spin 1s linear infinite;\n}\n\n@keyframes spin {\n    to { transform: rotate(360deg); }\n}\n</code></pre> <ol> <li>\u5b9e\u73b0\u52a0\u8f7d\u903b\u8f91\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/loading.js\nclass LoadingManager {\n    constructor() {\n        this.overlay = null;\n        this.createLoadingOverlay();\n    }\n\n    createLoadingOverlay() {\n        this.overlay = document.createElement('div');\n        this.overlay.className = 'loading-overlay';\n        this.overlay.innerHTML = '&lt;div class=\"loading-spinner\"&gt;&lt;/div&gt;';\n        document.body.appendChild(this.overlay);\n    }\n\n    show() {\n        this.overlay.style.opacity = '1';\n        this.overlay.style.visibility = 'visible';\n    }\n\n    hide() {\n        this.overlay.style.opacity = '0';\n        setTimeout(() =&gt; {\n            this.overlay.style.visibility = 'hidden';\n        }, 300);\n    }\n}\n\n// \u4f7f\u7528\u52a0\u8f7d\u7ba1\u7406\u5668\nconst loading = new LoadingManager();\n\n// \u9875\u9762\u52a0\u8f7d\u5b8c\u6210\u540e\u9690\u85cf\nwindow.addEventListener('load', () =&gt; {\n    loading.hide();\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6323","title":"6.3.2.3 \u4ea4\u4e92\u52a8\u753b","text":"<ol> <li>\u5143\u7d20\u4ea4\u4e92\u52a8\u753b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/interactions.js\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u6309\u94ae\u6ce2\u7eb9\u6548\u679c\n    setupRippleEffect();\n\n    // \u5361\u7247\u60ac\u6d6e\u6548\u679c\n    setupCardHover();\n\n    // \u5217\u8868\u9879\u52a8\u753b\n    setupListAnimations();\n});\n\n// \u6ce2\u7eb9\u6548\u679c\nfunction setupRippleEffect() {\n    const buttons = document.querySelectorAll('.md-button');\n\n    buttons.forEach(button =&gt; {\n        button.addEventListener('click', function(e) {\n            const ripple = document.createElement('div');\n            ripple.className = 'ripple';\n\n            const rect = button.getBoundingClientRect();\n            const size = Math.max(rect.width, rect.height);\n\n            ripple.style.width = ripple.style.height = `${size}px`;\n            ripple.style.left = `${e.clientX - rect.left - size/2}px`;\n            ripple.style.top = `${e.clientY - rect.top - size/2}px`;\n\n            button.appendChild(ripple);\n\n            setTimeout(() =&gt; ripple.remove(), 600);\n        });\n    });\n}\n\n// \u5361\u7247\u60ac\u6d6e\u6548\u679c\nfunction setupCardHover() {\n    const cards = document.querySelectorAll('.md-card');\n\n    cards.forEach(card =&gt; {\n        card.addEventListener('mousemove', function(e) {\n            const rect = card.getBoundingClientRect();\n            const x = e.clientX - rect.left;\n            const y = e.clientY - rect.top;\n\n            const centerX = rect.width / 2;\n            const centerY = rect.height / 2;\n\n            const angleY = -(x - centerX) / 20;\n            const angleX = (y - centerY) / 20;\n\n            card.style.transform = \n                `perspective(1000px) rotateX(${angleX}deg) rotateY(${angleY}deg)`;\n        });\n\n        card.addEventListener('mouseleave', function() {\n            card.style.transform = 'perspective(1000px) rotateX(0) rotateY(0)';\n        });\n    });\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#633","title":"6.3.3 \u6570\u636e\u7edf\u8ba1","text":""},{"location":"Technology/mkdocs%20material/#6331","title":"6.3.3.1 \u8bbf\u95ee\u7edf\u8ba1","text":"<ol> <li>\u57fa\u7840\u8bbf\u95ee\u7edf\u8ba1\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/analytics.js\nclass Analytics {\n    constructor() {\n        this.storageKey = 'site_analytics';\n        this.data = this.loadData();\n    }\n\n    loadData() {\n        const stored = localStorage.getItem(this.storageKey);\n        return stored ? JSON.parse(stored) : {\n            pageViews: {},\n            totalVisits: 0,\n            firstVisit: Date.now(),\n            lastVisit: Date.now()\n        };\n    }\n\n    saveData() {\n        localStorage.setItem(this.storageKey, JSON.stringify(this.data));\n    }\n\n    recordPageView() {\n        const path = window.location.pathname;\n        this.data.pageViews[path] = (this.data.pageViews[path] || 0) + 1;\n        this.data.totalVisits++;\n        this.data.lastVisit = Date.now();\n        this.saveData();\n    }\n\n    getStats() {\n        return {\n            totalVisits: this.data.totalVisits,\n            uniquePages: Object.keys(this.data.pageViews).length,\n            mostViewed: this.getMostViewedPages(5)\n        };\n    }\n\n    getMostViewedPages(limit = 5) {\n        return Object.entries(this.data.pageViews)\n            .sort(([,a], [,b]) =&gt; b - a)\n            .slice(0, limit);\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6332","title":"6.3.3.2 \u9605\u8bfb\u65f6\u957f","text":"JavaScript<pre><code>// docs/javascripts/read-time.js\nclass ReadTimeTracker {\n    constructor() {\n        this.startTime = Date.now();\n        this.isReading = true;\n        this.totalTime = 0;\n        this.idleTimeout = null;\n        this.setupTracking();\n    }\n\n    setupTracking() {\n        // \u76d1\u542c\u7528\u6237\u6d3b\u52a8\n        ['mousemove', 'keydown', 'scroll', 'click'].forEach(event =&gt; {\n            document.addEventListener(event, () =&gt; this.handleActivity());\n        });\n\n        // \u9875\u9762\u5931\u7126\u6682\u505c\u8ba1\u65f6\n        document.addEventListener('visibilitychange', () =&gt; {\n            if (document.hidden) {\n                this.pauseTracking();\n            } else {\n                this.resumeTracking();\n            }\n        });\n    }\n\n    handleActivity() {\n        if (!this.isReading) {\n            this.resumeTracking();\n        }\n\n        clearTimeout(this.idleTimeout);\n        this.idleTimeout = setTimeout(() =&gt; this.pauseTracking(), 60000); // 1\u5206\u949f\u65e0\u6d3b\u52a8\u6682\u505c\n    }\n\n    pauseTracking() {\n        if (this.isReading) {\n            this.totalTime += Date.now() - this.startTime;\n            this.isReading = false;\n        }\n    }\n\n    resumeTracking() {\n        if (!this.isReading) {\n            this.startTime = Date.now();\n            this.isReading = true;\n        }\n    }\n\n    getReadTime() {\n        const currentTime = this.isReading ? \n            this.totalTime + (Date.now() - this.startTime) : \n            this.totalTime;\n\n        return Math.floor(currentTime / 1000 / 60); // \u8fd4\u56de\u5206\u949f\n    // \u663e\u793a\u9605\u8bfb\u65f6\u957f\n    displayReadTime() {\n        const readTimeElement = document.querySelector('.read-time');\n        if (readTimeElement) {\n            const minutes = this.getReadTime();\n            readTimeElement.textContent = `\u9605\u8bfb\u65f6\u957f: ${minutes} \u5206\u949f`;\n        }\n    }\n\n    // \u83b7\u53d6\u9605\u8bfb\u8fdb\u5ea6\n    getReadProgress() {\n        const windowHeight = window.innerHeight;\n        const docHeight = document.documentElement.scrollHeight - windowHeight;\n        const scrollTop = window.pageYOffset || document.documentElement.scrollTop;\n        return Math.min((scrollTop / docHeight) * 100, 100);\n    }\n\n    // \u4fdd\u5b58\u9605\u8bfb\u8bb0\u5f55\n    saveReadingHistory() {\n        const path = window.location.pathname;\n        const history = JSON.parse(localStorage.getItem('reading_history') || '{}');\n\n        history[path] = {\n            lastRead: Date.now(),\n            readTime: this.getReadTime(),\n            progress: this.getReadProgress()\n        };\n\n        localStorage.setItem('reading_history', JSON.stringify(history));\n    }\n}\n\n// \u521d\u59cb\u5316\u9605\u8bfb\u65f6\u957f\u8ffd\u8e2a\nconst readTracker = new ReadTimeTracker();\n\n// \u5b9a\u671f\u66f4\u65b0\u663e\u793a\nsetInterval(() =&gt; {\n    readTracker.displayReadTime();\n}, 30000); // \u6bcf30\u79d2\u66f4\u65b0\u4e00\u6b21\n\n// \u9875\u9762\u79bb\u5f00\u65f6\u4fdd\u5b58\u8bb0\u5f55\nwindow.addEventListener('beforeunload', () =&gt; {\n    readTracker.saveReadingHistory();\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#6333","title":"6.3.3.3 \u5206\u4eab\u7edf\u8ba1","text":"<ol> <li>\u5206\u4eab\u529f\u80fd\u548c\u7edf\u8ba1\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/share.js\nclass ShareTracker {\n    constructor() {\n        this.storageKey = 'share_statistics';\n        this.data = this.loadData();\n        this.setupShareButtons();\n    }\n\n    loadData() {\n        return JSON.parse(localStorage.getItem(this.storageKey) || '{}');\n    }\n\n    saveData() {\n        localStorage.setItem(this.storageKey, JSON.stringify(this.data));\n    }\n\n    setupShareButtons() {\n        const shareButtons = document.querySelectorAll('.share-button');\n\n        shareButtons.forEach(button =&gt; {\n            button.addEventListener('click', (e) =&gt; {\n                const platform = button.dataset.platform;\n                this.shareContent(platform);\n                this.recordShare(platform);\n            });\n        });\n    }\n\n    shareContent(platform) {\n        const url = encodeURIComponent(window.location.href);\n        const title = encodeURIComponent(document.title);\n        const description = encodeURIComponent(\n            document.querySelector('meta[name=\"description\"]')?.content || ''\n        );\n\n        let shareUrl;\n        switch (platform) {\n            case 'twitter':\n                shareUrl = `https://twitter.com/intent/tweet?url=${url}&amp;text=${title}`;\n                break;\n            case 'facebook':\n                shareUrl = `https://www.facebook.com/sharer/sharer.php?u=${url}`;\n                break;\n            case 'linkedin':\n                shareUrl = `https://www.linkedin.com/sharing/share-offsite/?url=${url}`;\n                break;\n            case 'weibo':\n                shareUrl = `http://service.weibo.com/share/share.php?url=${url}&amp;title=${title}`;\n                break;\n        }\n\n        if (shareUrl) {\n            window.open(shareUrl, '_blank', 'width=600,height=400');\n        }\n    }\n\n    recordShare(platform) {\n        const path = window.location.pathname;\n        if (!this.data[path]) {\n            this.data[path] = {};\n        }\n        if (!this.data[path][platform]) {\n            this.data[path][platform] = 0;\n        }\n        this.data[path][platform]++;\n        this.saveData();\n        this.updateShareCount(platform);\n    }\n\n    updateShareCount(platform) {\n        const countElement = document.querySelector(`.share-count[data-platform=\"${platform}\"]`);\n        if (countElement) {\n            const path = window.location.pathname;\n            countElement.textContent = this.data[path][platform] || 0;\n        }\n    }\n\n    getShareStats() {\n        return Object.entries(this.data).map(([path, platforms]) =&gt; ({\n            path,\n            total: Object.values(platforms).reduce((a, b) =&gt; a + b, 0),\n            platforms\n        }));\n    }\n\n    displayShareStats() {\n        const stats = this.getShareStats();\n        console.table(stats);\n        return stats;\n    }\n}\n</code></pre> <ol> <li>\u7edf\u8ba1\u6570\u636e\u53ef\u89c6\u5316\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/statistics-visualization.js\nclass StatisticsVisualizer {\n    constructor(analytics, readTracker, shareTracker) {\n        this.analytics = analytics;\n        this.readTracker = readTracker;\n        this.shareTracker = shareTracker;\n    }\n\n    createDashboard() {\n        const dashboard = document.createElement('div');\n        dashboard.className = 'statistics-dashboard';\n        dashboard.innerHTML = `\n            &lt;div class=\"dashboard-section\"&gt;\n                &lt;h3&gt;\u8bbf\u95ee\u7edf\u8ba1&lt;/h3&gt;\n                &lt;div class=\"stats-grid\"&gt;\n                    &lt;div class=\"stat-card\"&gt;\n                        &lt;div class=\"stat-value\"&gt;${this.analytics.data.totalVisits}&lt;/div&gt;\n                        &lt;div class=\"stat-label\"&gt;\u603b\u8bbf\u95ee\u91cf&lt;/div&gt;\n                    &lt;/div&gt;\n                    &lt;div class=\"stat-card\"&gt;\n                        &lt;div class=\"stat-value\"&gt;${this.readTracker.getReadTime()}&lt;/div&gt;\n                        &lt;div class=\"stat-label\"&gt;\u603b\u9605\u8bfb\u65f6\u957f(\u5206\u949f)&lt;/div&gt;\n                    &lt;/div&gt;\n                    &lt;div class=\"stat-card\"&gt;\n                        &lt;div class=\"stat-value\"&gt;${this.getTotalShares()}&lt;/div&gt;\n                        &lt;div class=\"stat-label\"&gt;\u603b\u5206\u4eab\u6b21\u6570&lt;/div&gt;\n                    &lt;/div&gt;\n                &lt;/div&gt;\n                &lt;div id=\"visitsChart\"&gt;&lt;/div&gt;\n            &lt;/div&gt;\n        `;\n\n        document.body.appendChild(dashboard);\n        this.renderCharts();\n    }\n\n    renderCharts() {\n        // \u4f7f\u7528 Chart.js \u7ed8\u5236\u56fe\u8868\n        const ctx = document.getElementById('visitsChart').getContext('2d');\n        new Chart(ctx, {\n            type: 'line',\n            data: {\n                labels: this.getTimeLabels(),\n                datasets: [{\n                    label: '\u8bbf\u95ee\u8d8b\u52bf',\n                    data: this.getVisitData(),\n                    borderColor: 'rgb(75, 192, 192)',\n                    tension: 0.1\n                }]\n            },\n            options: {\n                responsive: true,\n                scales: {\n                    y: {\n                        beginAtZero: true\n                    }\n                }\n            }\n        });\n    }\n\n    getTotalShares() {\n        const stats = this.shareTracker.getShareStats();\n        return stats.reduce((total, page) =&gt; total + page.total, 0);\n    }\n\n    getTimeLabels() {\n        // \u83b7\u53d6\u6700\u8fd17\u5929\u7684\u65e5\u671f\u6807\u7b7e\n        return Array.from({length: 7}, (_, i) =&gt; {\n            const d = new Date();\n            d.setDate(d.getDate() - i);\n            return d.toLocaleDateString();\n        }).reverse();\n    }\n\n    getVisitData() {\n        // \u5904\u7406\u8bbf\u95ee\u6570\u636e\n        return this.analytics.getVisitsByDate(7);\n    }\n}\n\n// \u6837\u5f0f\nconst styles = `\n    .statistics-dashboard {\n        padding: 2rem;\n        background: var(--md-default-bg-color);\n        border-radius: 8px;\n        box-shadow: var(--md-shadow-z2);\n    }\n\n    .stats-grid {\n        display: grid;\n        grid-template-columns: repeat(auto-fit, minmax(200px, 1fr));\n        gap: 1rem;\n        margin: 1rem 0;\n    }\n\n    .stat-card {\n        padding: 1rem;\n        background: var(--md-code-bg-color);\n        border-radius: 4px;\n        text-align: center;\n    }\n\n    .stat-value {\n        font-size: 2rem;\n        font-weight: bold;\n        color: var(--md-primary-fg-color);\n    }\n\n    .stat-label {\n        font-size: 0.9rem;\n        color: var(--md-default-fg-color--light);\n        margin-top: 0.5rem;\n    }\n`;\n\n// \u5c06\u6837\u5f0f\u6dfb\u52a0\u5230\u6587\u6863\nconst styleSheet = document.createElement('style');\nstyleSheet.textContent = styles;\ndocument.head.appendChild(styleSheet);\n\n// \u521d\u59cb\u5316\u7edf\u8ba1\u53ef\u89c6\u5316\nconst visualizer = new StatisticsVisualizer(analytics, readTracker, shareTracker);\nvisualizer.createDashboard();\n</code></pre> <p>\u8fd9\u6837\u6211\u4eec\u5c31\u5b8c\u6210\u4e86\u5b8c\u6574\u7684\u6570\u636e\u7edf\u8ba1\u7cfb\u7edf\uff0c\u5305\u62ec\uff1a</p> <ol> <li>\u8bbf\u95ee\u7edf\u8ba1</li> <li>\u9605\u8bfb\u65f6\u957f\u8ffd\u8e2a</li> <li>\u5206\u4eab\u7edf\u8ba1</li> <li>\u6570\u636e\u53ef\u89c6\u5316\u5c55\u793a</li> </ol> <p>\u4f7f\u7528\u65f6\uff0c\u53ea\u9700\u8981\u5728 mkdocs.yml \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684 JavaScript \u6587\u4ef6\uff1a</p> YAML<pre><code>extra_javascript:\n  - javascripts/analytics.js\n  - javascripts/read-time.js\n  - javascripts/share.js\n  - javascripts/statistics-visualization.js\n  - https://cdn.jsdelivr.net/npm/chart.js\n</code></pre> <p>\u7136\u540e\u5728\u9875\u9762\u4e2d\u6dfb\u52a0\u5fc5\u8981\u7684 HTML \u5143\u7d20\u5373\u53ef\u542f\u7528\u8fd9\u4e9b\u529f\u80fd\u3002</p>"},{"location":"Technology/mkdocs%20material/#7","title":"7 \u6a21\u677f\u590d\u5199","text":""},{"location":"Technology/mkdocs%20material/#71","title":"7.1 \u91cd\u5199\u9875\u9762\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#711","title":"7.1.1 \u4e3b\u9875\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#7111","title":"7.1.1.1 \u5e03\u5c40\u7ed3\u6784","text":"<ol> <li>\u521b\u5efa\u81ea\u5b9a\u4e49\u4e3b\u9875\u6a21\u677f\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/main.html --&gt;\n{% extends \"base.html\" %}\n\n{% block hero %}\n&lt;section class=\"home-hero\"&gt;\n    &lt;div class=\"hero-content\"&gt;\n        &lt;h1&gt;{{ config.site_name }}&lt;/h1&gt;\n        &lt;p&gt;{{ config.site_description }}&lt;/p&gt;\n\n        &lt;!-- \u81ea\u5b9a\u4e49\u641c\u7d22\u6846 --&gt;\n        &lt;div class=\"hero-search\"&gt;\n            &lt;input type=\"text\" placeholder=\"\u641c\u7d22\u6587\u6863...\" id=\"hero-search-input\"&gt;\n            &lt;button&gt;\n                &lt;span class=\"twemoji\"&gt;\n                    {% include \".icons/material/magnify.svg\" %}\n                &lt;/span&gt;\n            &lt;/button&gt;\n        &lt;/div&gt;\n\n        &lt;!-- \u5feb\u901f\u5165\u53e3 --&gt;\n        &lt;div class=\"hero-buttons\"&gt;\n            &lt;a href=\"{{ page.next_page.url | url }}\" class=\"md-button md-button--primary\"&gt;\n                \u5feb\u901f\u5f00\u59cb\n                &lt;span class=\"twemoji\"&gt;\n                    {% include \".icons/material/arrow-right.svg\" %}\n                &lt;/span&gt;\n            &lt;/a&gt;\n            &lt;a href=\"{{ config.repo_url }}\" class=\"md-button\"&gt;\n                \u67e5\u770b\u6e90\u7801\n                &lt;span class=\"twemoji\"&gt;\n                    {% include \".icons/material/github.svg\" %}\n                &lt;/span&gt;\n            &lt;/a&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/section&gt;\n{% endblock %}\n\n{% block content %}\n&lt;section class=\"home-features\"&gt;\n    &lt;h2&gt;\u7279\u8272\u529f\u80fd&lt;/h2&gt;\n    &lt;div class=\"features-grid\"&gt;\n        &lt;!-- \u529f\u80fd\u5361\u7247 --&gt;\n        &lt;div class=\"feature-card\"&gt;\n            &lt;div class=\"feature-icon\"&gt;\n                {% include \".icons/material/speedometer.svg\" %}\n            &lt;/div&gt;\n            &lt;h3&gt;\u9ad8\u6027\u80fd&lt;/h3&gt;\n            &lt;p&gt;\u57fa\u4e8e\u9759\u6001\u7ad9\u70b9\u751f\u6210\uff0c\u52a0\u8f7d\u8fc5\u901f&lt;/p&gt;\n        &lt;/div&gt;\n        &lt;!-- \u66f4\u591a\u529f\u80fd\u5361\u7247 --&gt;\n    &lt;/div&gt;\n&lt;/section&gt;\n\n&lt;!-- \u6700\u8fd1\u66f4\u65b0 --&gt;\n&lt;section class=\"home-updates\"&gt;\n    &lt;h2&gt;\u6700\u8fd1\u66f4\u65b0&lt;/h2&gt;\n    &lt;div class=\"updates-list\"&gt;\n        {% for update in config.theme.updates[:5] %}\n        &lt;div class=\"update-item\"&gt;\n            &lt;span class=\"update-date\"&gt;{{ update.date }}&lt;/span&gt;\n            &lt;a href=\"{{ update.url | url }}\"&gt;{{ update.title }}&lt;/a&gt;\n        &lt;/div&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/section&gt;\n{% endblock %}\n</code></pre> <ol> <li>\u4e3b\u9875\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/home.css */\n\n/* \u4e3b\u9875\u82f1\u96c4\u533a */\n.home-hero {\n    min-height: 100vh;\n    display: flex;\n    align-items: center;\n    justify-content: center;\n    text-align: center;\n    background: linear-gradient(\n        to bottom right,\n        var(--md-primary-fg-color),\n        var(--md-accent-fg-color)\n    );\n    color: var(--md-primary-bg-color);\n}\n\n.hero-content {\n    max-width: 800px;\n    padding: 2rem;\n}\n\n.hero-content h1 {\n    font-size: 3rem;\n    margin-bottom: 1rem;\n}\n\n/* \u641c\u7d22\u6846\u6837\u5f0f */\n.hero-search {\n    margin: 2rem 0;\n    position: relative;\n}\n\n.hero-search input {\n    width: 100%;\n    padding: 1rem 3rem 1rem 1rem;\n    border: none;\n    border-radius: 2rem;\n    background: rgba(255, 255, 255, 0.1);\n    color: white;\n    backdrop-filter: blur(10px);\n}\n\n/* \u529f\u80fd\u533a\u6837\u5f0f */\n.features-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n    gap: 2rem;\n    padding: 2rem;\n}\n\n.feature-card {\n    padding: 2rem;\n    background: var(--md-default-bg-color);\n    border-radius: 8px;\n    box-shadow: var(--md-shadow-z1);\n    transition: transform 0.3s ease;\n}\n\n.feature-card:hover {\n    transform: translateY(-4px);\n}\n\n/* \u66f4\u65b0\u5217\u8868\u6837\u5f0f */\n.updates-list {\n    max-width: 800px;\n    margin: 0 auto;\n    padding: 2rem;\n}\n\n.update-item {\n    display: flex;\n    align-items: center;\n    padding: 1rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .hero-content h1 {\n        font-size: 2rem;\n    }\n\n    .features-grid {\n        grid-template-columns: 1fr;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7112","title":"7.1.1.2 \u7ec4\u4ef6\u914d\u7f6e","text":"<ol> <li>\u5728 <code>mkdocs.yml</code> \u4e2d\u914d\u7f6e\u4e3b\u9898\uff1a</li> </ol> YAML<pre><code>theme:\n  name: material\n  custom_dir: docs/overrides\n  features:\n    - navigation.tabs\n    - navigation.sections\n    - navigation.expand\n\n  # \u4e3b\u9875\u914d\u7f6e\n  homepage:\n    hero:\n      title: \u7f51\u7ad9\u6807\u9898\n      subtitle: \u7f51\u7ad9\u63cf\u8ff0\n      image: assets/hero.svg\n\n    # \u529f\u80fd\u7279\u6027\n    features:\n      - title: \u9ad8\u6027\u80fd\n        description: \u57fa\u4e8e\u9759\u6001\u7ad9\u70b9\u751f\u6210\uff0c\u52a0\u8f7d\u8fc5\u901f\n        icon: material/speedometer\n      - title: \u6613\u4e8e\u4f7f\u7528\n        description: \u7b80\u5355\u7684\u914d\u7f6e\uff0c\u5feb\u901f\u4e0a\u624b\n        icon: material/puzzle\n      # \u66f4\u591a\u529f\u80fd\u7279\u6027...\n\n    # \u66f4\u65b0\u5217\u8868\n    updates:\n      - date: 2024-01-20\n        title: \u65b0\u589e\u529f\u80fdA\n        url: /new-feature-a\n      - date: 2024-01-18\n        title: \u95ee\u9898\u4fee\u590dB\n        url: /bug-fix-b\n      # \u66f4\u591a\u66f4\u65b0...\n</code></pre> <ol> <li>\u4e3b\u9875\u529f\u80fd\u7c7b\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/home.js\nclass HomePage {\n    constructor() {\n        this.searchInput = document.getElementById('hero-search-input');\n        this.setupSearch();\n        this.setupFeatureCards();\n    }\n\n    setupSearch() {\n        this.searchInput?.addEventListener('keyup', (e) =&gt; {\n            if (e.key === 'Enter') {\n                const query = e.target.value;\n                window.location.href = `${window.location.origin}/search.html?q=${encodeURIComponent(query)}`;\n            }\n        });\n    }\n\n    setupFeatureCards() {\n        const cards = document.querySelectorAll('.feature-card');\n\n        cards.forEach(card =&gt; {\n            card.addEventListener('mousemove', (e) =&gt; {\n                const rect = card.getBoundingClientRect();\n                const x = e.clientX - rect.left;\n                const y = e.clientY - rect.top;\n\n                card.style.setProperty('--mouse-x', `${x}px`);\n                card.style.setProperty('--mouse-y', `${y}px`);\n            });\n        });\n    }\n}\n\n// \u521d\u59cb\u5316\u4e3b\u9875\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new HomePage();\n});\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7113","title":"7.1.1.3 \u81ea\u5b9a\u4e49\u533a\u57df","text":"<ol> <li>\u521b\u5efa\u81ea\u5b9a\u4e49\u533a\u57df\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/custom-content.html --&gt;\n{% if page.meta.custom_content %}\n&lt;section class=\"custom-content\"&gt;\n    &lt;!-- \u516c\u544a\u533a --&gt;\n    {% if page.meta.announcements %}\n    &lt;div class=\"announcements\"&gt;\n        {% for announcement in page.meta.announcements %}\n        &lt;div class=\"announcement-item\"&gt;\n            &lt;span class=\"announcement-tag\"&gt;{{ announcement.tag }}&lt;/span&gt;\n            &lt;p&gt;{{ announcement.content }}&lt;/p&gt;\n        &lt;/div&gt;\n        {% endfor %}\n    &lt;/div&gt;\n    {% endif %}\n\n    &lt;!-- \u8d21\u732e\u8005\u533a\u57df --&gt;\n    {% if page.meta.contributors %}\n    &lt;div class=\"contributors\"&gt;\n        &lt;h3&gt;\u9879\u76ee\u8d21\u732e\u8005&lt;/h3&gt;\n        &lt;div class=\"contributors-grid\"&gt;\n            {% for contributor in page.meta.contributors %}\n            &lt;a href=\"{{ contributor.url }}\" class=\"contributor-card\"&gt;\n                &lt;img src=\"{{ contributor.avatar }}\" alt=\"{{ contributor.name }}\"&gt;\n                &lt;span&gt;{{ contributor.name }}&lt;/span&gt;\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endif %}\n\n    &lt;!-- \u8d5e\u52a9\u5546\u533a\u57df --&gt;\n    {% if page.meta.sponsors %}\n    &lt;div class=\"sponsors\"&gt;\n        &lt;h3&gt;\u8d5e\u52a9\u5546&lt;/h3&gt;\n        &lt;div class=\"sponsors-grid\"&gt;\n            {% for sponsor in page.meta.sponsors %}\n            &lt;a href=\"{{ sponsor.url }}\" class=\"sponsor-card\"&gt;\n                &lt;img src=\"{{ sponsor.logo }}\" alt=\"{{ sponsor.name }}\"&gt;\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endif %}\n&lt;/section&gt;\n{% endif %}\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u533a\u57df\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/custom-content.css */\n\n/* \u516c\u544a\u533a\u57df */\n.announcements {\n    margin: 2rem 0;\n}\n\n.announcement-item {\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 4px;\n    margin-bottom: 1rem;\n}\n\n.announcement-tag {\n    display: inline-block;\n    padding: 0.2rem 0.5rem;\n    background: var(--md-accent-fg-color);\n    color: white;\n    border-radius: 2rem;\n    font-size: 0.8rem;\n    margin-right: 0.5rem;\n}\n\n/* \u8d21\u732e\u8005\u533a\u57df */\n.contributors-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fill, minmax(100px, 1fr));\n    gap: 1rem;\n    margin: 1rem 0;\n}\n\n.contributor-card {\n    text-align: center;\n    text-decoration: none;\n    color: var(--md-default-fg-color);\n}\n\n.contributor-card img {\n    width: 60px;\n    height: 60px;\n    border-radius: 50%;\n    margin-bottom: 0.5rem;\n}\n\n/* \u8d5e\u52a9\u5546\u533a\u57df */\n.sponsors-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fill, minmax(150px, 1fr));\n    gap: 2rem;\n    margin: 1rem 0;\n}\n\n.sponsor-card img {\n    width: 100%;\n    height: auto;\n    filter: grayscale(100%);\n    transition: filter 0.3s ease;\n}\n\n.sponsor-card:hover img {\n    filter: grayscale(0%);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#712","title":"7.1.2 \u6587\u7ae0\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#7121","title":"7.1.2.1 \u6587\u7ae0\u5934\u90e8","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/article-header.html --&gt;\n&lt;header class=\"article-header\"&gt;\n    &lt;!-- \u6587\u7ae0\u6807\u9898 --&gt;\n    &lt;h1&gt;{{ page.title }}&lt;/h1&gt;\n\n    &lt;!-- \u6587\u7ae0\u5143\u4fe1\u606f --&gt;\n    &lt;div class=\"article-meta\"&gt;\n        {% if page.meta.author %}\n        &lt;div class=\"meta-item\"&gt;\n            &lt;span class=\"meta-icon\"&gt;\n                {% include \".icons/material/account.svg\" %}\n            &lt;/span&gt;\n            &lt;span&gt;{{ page.meta.author }}&lt;/span&gt;\n        &lt;/div&gt;\n        {% endif %}\n\n        {% if page.meta.date %}\n        &lt;div class=\"meta-item\"&gt;\n            &lt;span class=\"meta-icon\"&gt;\n                {% include \".icons/material/calendar.svg\" %}\n            &lt;/span&gt;\n            &lt;span&gt;{{ page.meta.date }}&lt;/span&gt;\n        &lt;/div&gt;\n        {% endif %}\n\n        {% if page.meta.tags %}\n        &lt;div class=\"article-tags\"&gt;\n            {% for tag in page.meta.tags %}\n            &lt;a href=\"{{ base_url }}/tags/#{{ tag }}\" class=\"tag\"&gt;\n                # {{ tag }}\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n        {% endif %}\n    &lt;/div&gt;\n\n    &lt;!-- \u6587\u7ae0\u6982\u8ff0 --&gt;\n    {% if page.meta.description %}\n    &lt;div class=\"article-description\"&gt;\n        {{ page.meta.description }}\n    &lt;/div&gt;\n    {% endif %}\n&lt;/header&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7122","title":"7.1.2.2 \u6b63\u6587\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/article.css */\n\n/* \u6587\u7ae0\u5bb9\u5668 */\n.md-content article {\n    max-width: 800px;\n    margin: 0 auto;\n    padding: 2rem;\n}\n\n/* \u6587\u7ae0\u5934\u90e8 */\n.article-header {\n    margin-bottom: 3rem;\n    text-align: center;\n}\n\n.article-meta {\n    display: flex;\n    justify-content: center;\n    gap: 1rem;\n    margin: 1rem 0;\n    color: var(--md-default-fg-color--light);\n}\n\n.meta-item {\n    display: flex;\n    align-items: center;\n    gap: 0.5rem;\n}\n\n.article-tags {\n    margin-top: 1rem;\n}\n\n.tag {\n    display: inline-block;\n    padding: 0.2rem 0.5rem;\n    margin: 0.2rem;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    font-size: 0.8rem;\n}\n\n/* \u6587\u7ae0\u5185\u5bb9\u6837\u5f0f */\n.md-content article {\n    font-size: 1.1rem;\n    line-height: 1.8;\n}\n\n/* \u6807\u9898\u6837\u5f0f */\n.md-content article h2 {\n    margin-top: 3rem;\n    padding-bottom: 0.5rem;\n    border-bottom: 2px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u4ee3\u7801\u5757\u6837\u5f0f */\n.md-content pre {\n    border-radius: 8px;\n    margin: 1.5rem 0;\n}\n\n/* \u5f15\u7528\u6837\u5f0f */\n.md-content blockquote {\n    border-left: 4px solid var(--md-accent-fg-color);\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    margin: 1.5rem 0;\n}\n\n/* \u56fe\u7247\u6837\u5f0f */\n.md-content img {\n    max-width: 100%;\n    border-radius: 8px;\n    margin: 1.5rem 0;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7123","title":"7.1.2.3 \u5e95\u90e8\u4fe1\u606f","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/article-footer.html --&gt;\n&lt;footer class=\"article-footer\"&gt;\n    &lt;!-- \u6587\u7ae0\u5bfc\u822a --&gt;\n    &lt;nav class=\"article-nav\"&gt;\n        {% if page.previous_page %}\n        &lt;a href=\"{{ page.previous_page.url | url }}\" class=\"nav-link nav-prev\"&gt;\n            &lt;span class=\"nav-icon\"&gt;\n                {% include \".icons/material/arrow-left.svg\" %}\n            &lt;/span&gt;\n            &lt;span class=\"nav-text\"&gt;\n                &lt;span class=\"nav-direction\"&gt;\u4e0a\u4e00\u7bc7&lt;/span&gt;\n                &lt;span class=\"nav-title\"&gt;{{ page.previous_page.title }}&lt;/span&gt;\n            &lt;/span&gt;\n        &lt;/a&gt;\n        {% endif %}\n\n        {% if page.next_page %}\n        &lt;a href=\"{{ page.next_page.url | url }}\" class=\"nav-link nav-next\"&gt;\n            &lt;span class=\"nav-text\"&gt;\n                &lt;span class=\"nav-direction\"&gt;\u4e0b\u4e00\u7bc7&lt;/span&gt;\n                &lt;span class=\"nav-title\"&gt;{{ page.next_page.title }}&lt;/span&gt;\n            &lt;/span&gt;\n            &lt;span class=\"nav-icon\"&gt;\n                {% include \".icons/material/arrow-right.svg\" %}\n            &lt;/span&gt;\n        &lt;/a&gt;\n        {% endif %}\n    &lt;/nav&gt;\n\n    &lt;!-- \u5206\u4eab\u6309\u94ae --&gt;\n    &lt;div class=\"article-share\"&gt;\n        &lt;h4&gt;\u5206\u4eab\u6587\u7ae0&lt;/h4&gt;\n        &lt;div class=\"share-buttons\"&gt;\n            &lt;button class=\"share-button\" data-platform=\"twitter\"&gt;\n                {% include \".icons/material/twitter.svg\" %}\n            &lt;/button&gt;\n            &lt;button class=\"share-button\" data-platform=\"facebook\"&gt;\n                {% include \".icons/material/facebook.svg\" %}\n            &lt;/button&gt;\n            &lt;button class=\"share-button\" data-platform=\"linkedin\"&gt;\n                {% include \".icons/material/linkedin.svg\" %}\n            &lt;/button&gt;\n            &lt;button class=\"share-button\" data-platform=\"weibo\"&gt;\n                {% include \".icons/material/sina-weibo.svg\" %}\n            &lt;/button&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u76f8\u5173\u6587\u7ae0 --&gt;\n    {% if page.meta.related_posts %}\n    &lt;div class=\"related-posts\"&gt;\n        &lt;h4&gt;\u76f8\u5173\u6587\u7ae0&lt;/h4&gt;\n        &lt;div class=\"related-grid\"&gt;\n            {% for post in page.meta.related_posts %}\n            &lt;a href=\"{{ post.url | url }}\" class=\"related-post\"&gt;\n                {% if post.image %}\n                &lt;img src=\"{{ post.image }}\" alt=\"{{ post.title }}\"&gt;\n                {% endif %}\n                &lt;h5&gt;{{ post.title }}&lt;/h5&gt;\n                &lt;p&gt;{{ post.excerpt }}&lt;/p&gt;\n            &lt;/a&gt;\n            {% endfor %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endif %}\n\n    &lt;!-- \u8bc4\u8bba\u533a --&gt;\n    &lt;div class=\"article-comments\"&gt;\n        &lt;h4&gt;\u8bc4\u8bba&lt;/h4&gt;\n        {% if config.extra.comments.provider == 'giscus' %}\n        &lt;script src=\"https://giscus.app/client.js\"\n            data-repo=\"{{ config.extra.comments.repo }}\"\n            data-repo-id=\"{{ config.extra.comments.repo_id }}\"\n            data-category=\"{{ config.extra.comments.category }}\"\n            data-category-id=\"{{ config.extra.comments.category_id }}\"\n            data-mapping=\"pathname\"\n            data-reactions-enabled=\"1\"\n            data-emit-metadata=\"0\"\n            data-theme=\"light\"\n            crossorigin=\"anonymous\"\n            async&gt;\n        &lt;/script&gt;\n        {% endif %}\n    &lt;/div&gt;\n&lt;/footer&gt;\n\n&lt;!-- \u6587\u7ae0\u5e95\u90e8\u6837\u5f0f --&gt;\n&lt;style&gt;\n.article-footer {\n    margin-top: 4rem;\n    padding-top: 2rem;\n    border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n\n/* \u6587\u7ae0\u5bfc\u822a */\n.article-nav {\n    display: flex;\n    justify-content: space-between;\n    margin-bottom: 2rem;\n}\n\n.nav-link {\n    display: flex;\n    align-items: center;\n    padding: 1rem;\n    text-decoration: none;\n    color: var(--md-default-fg-color);\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n    max-width: 45%;\n}\n\n.nav-link:hover {\n    transform: translateY(-2px);\n}\n\n.nav-text {\n    display: flex;\n    flex-direction: column;\n}\n\n.nav-direction {\n    font-size: 0.8rem;\n    color: var(--md-default-fg-color--light);\n}\n\n.nav-title {\n    font-weight: 500;\n}\n\n/* \u5206\u4eab\u6309\u94ae */\n.share-buttons {\n    display: flex;\n    gap: 1rem;\n    margin: 1rem 0;\n}\n\n.share-button {\n    padding: 0.8rem;\n    border: none;\n    border-radius: 50%;\n    background: var(--md-code-bg-color);\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.share-button:hover {\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n\n/* \u76f8\u5173\u6587\u7ae0 */\n.related-grid {\n    display: grid;\n    grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n    gap: 1.5rem;\n    margin: 1rem 0;\n}\n\n.related-post {\n    text-decoration: none;\n    color: var(--md-default-fg-color);\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    overflow: hidden;\n    transition: transform 0.2s ease;\n}\n\n.related-post:hover {\n    transform: translateY(-4px);\n}\n\n.related-post img {\n    width: 100%;\n    height: 150px;\n    object-fit: cover;\n}\n\n.related-post h5 {\n    margin: 1rem;\n    font-size: 1.1rem;\n}\n\n.related-post p {\n    margin: 0 1rem 1rem;\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u8bc4\u8bba\u533a */\n.article-comments {\n    margin-top: 3rem;\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .article-nav {\n        flex-direction: column;\n        gap: 1rem;\n    }\n\n    .nav-link {\n        max-width: 100%;\n    }\n\n    .related-grid {\n        grid-template-columns: 1fr;\n    }\n}\n&lt;/style&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#713-404","title":"7.1.3 404\u9875\u9762","text":""},{"location":"Technology/mkdocs%20material/#7131","title":"7.1.3.1 \u9519\u8bef\u63d0\u793a","text":"HTML<pre><code>&lt;!-- docs/overrides/404.html --&gt;\n{% extends \"base.html\" %}\n\n{% block content %}\n&lt;div class=\"error-page\"&gt;\n    &lt;div class=\"error-content\"&gt;\n        &lt;!-- 404 \u56fe\u6807 --&gt;\n        &lt;div class=\"error-icon\"&gt;\n            {% include \".icons/material/alert-circle-outline.svg\" %}\n            &lt;span class=\"error-code\"&gt;404&lt;/span&gt;\n        &lt;/div&gt;\n\n        &lt;!-- \u9519\u8bef\u4fe1\u606f --&gt;\n        &lt;h1&gt;\u9875\u9762\u672a\u627e\u5230&lt;/h1&gt;\n        &lt;p&gt;\u62b1\u6b49\uff0c\u60a8\u8bbf\u95ee\u7684\u9875\u9762\u4e0d\u5b58\u5728\u6216\u5df2\u88ab\u79fb\u52a8&lt;/p&gt;\n\n        &lt;!-- \u641c\u7d22\u6846 --&gt;\n        &lt;div class=\"error-search\"&gt;\n            &lt;input type=\"text\" \n                   id=\"error-search-input\" \n                   placeholder=\"\u5c1d\u8bd5\u641c\u7d22...\"\n                   autocomplete=\"off\"&gt;\n            &lt;button id=\"error-search-button\"&gt;\n                {% include \".icons/material/magnify.svg\" %}\n            &lt;/button&gt;\n        &lt;/div&gt;\n\n        &lt;!-- \u5feb\u6377\u64cd\u4f5c --&gt;\n        &lt;div class=\"error-actions\"&gt;\n            &lt;a href=\"{{ base_url }}\" class=\"md-button md-button--primary\"&gt;\n                \u8fd4\u56de\u9996\u9875\n            &lt;/a&gt;\n            &lt;button class=\"md-button\" onclick=\"window.history.back()\"&gt;\n                \u8fd4\u56de\u4e0a\u9875\n            &lt;/button&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u641c\u7d22\u5efa\u8bae --&gt;\n    &lt;div class=\"search-suggestions\" id=\"search-suggestions\"&gt;\n        &lt;h3&gt;\u60a8\u662f\u5426\u5728\u627e\uff1a&lt;/h3&gt;\n        &lt;div class=\"suggestions-list\" id=\"suggestions-list\"&gt;\n            &lt;!-- \u52a8\u6001\u751f\u6210\u7684\u5efa\u8bae\u5217\u8868 --&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;!-- 404\u9875\u9762\u6837\u5f0f --&gt;\n&lt;style&gt;\n.error-page {\n    min-height: 100vh;\n    display: flex;\n    flex-direction: column;\n    align-items: center;\n    justify-content: center;\n    padding: 2rem;\n    text-align: center;\n}\n\n.error-content {\n    max-width: 600px;\n}\n\n.error-icon {\n    font-size: 6rem;\n    color: var(--md-primary-fg-color);\n    margin-bottom: 2rem;\n    position: relative;\n}\n\n.error-code {\n    position: absolute;\n    bottom: -1rem;\n    right: -1rem;\n    font-size: 2rem;\n    font-weight: bold;\n    background: var(--md-accent-fg-color);\n    color: white;\n    padding: 0.5rem 1rem;\n    border-radius: 1rem;\n}\n\n.error-search {\n    margin: 2rem 0;\n    position: relative;\n}\n\n.error-search input {\n    width: 100%;\n    padding: 1rem 3rem 1rem 1rem;\n    border: 2px solid var(--md-default-fg-color--lightest);\n    border-radius: 2rem;\n    font-size: 1.1rem;\n}\n\n.error-search button {\n    position: absolute;\n    right: 0.5rem;\n    top: 50%;\n    transform: translateY(-50%);\n    background: none;\n    border: none;\n    color: var(--md-default-fg-color);\n    cursor: pointer;\n}\n\n.error-actions {\n    display: flex;\n    gap: 1rem;\n    justify-content: center;\n    margin: 2rem 0;\n}\n\n/* \u641c\u7d22\u5efa\u8bae\u6837\u5f0f */\n.search-suggestions {\n    margin-top: 3rem;\n    width: 100%;\n    max-width: 600px;\n}\n\n.suggestions-list {\n    margin-top: 1rem;\n}\n\n.suggestion-item {\n    padding: 1rem;\n    margin: 0.5rem 0;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.suggestion-item:hover {\n    background: var(--md-accent-fg-color--transparent);\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .error-icon {\n        font-size: 4rem;\n    }\n\n    .error-code {\n        font-size: 1.5rem;\n    }\n\n    .error-actions {\n        flex-direction: column;\n    }\n}\n&lt;/style&gt;\n\n&lt;!-- 404\u9875\u9762\u811a\u672c --&gt;\n&lt;script&gt;\ndocument.addEventListener('DOMContentLoaded', function() {\n    // \u641c\u7d22\u5efa\u8bae\u529f\u80fd\n    setupSearchSuggestions();\n    // \u5168\u5c40\u70ed\u952e\n    setupHotkeys();\n});\n\nfunction setupSearchSuggestions() {\n    const searchInput = document.getElementById('error-search-input');\n    const suggestionsList = document.getElementById('suggestions-list');\n\n    searchInput?.addEventListener('input', debounce(async (e) =&gt; {\n        const query = e.target.value;\n        if (query.length &lt; 2) {\n            suggestionsList.innerHTML = '';\n            return;\n        }\n\n        // \u83b7\u53d6\u641c\u7d22\u5efa\u8bae\n        const suggestions = await getSearchSuggestions(query);\n\n        // \u6e32\u67d3\u5efa\u8bae\u5217\u8868\n        suggestionsList.innerHTML = suggestions\n            .map(suggestion =&gt; `\n                &lt;div class=\"suggestion-item\" onclick=\"window.location.href='${suggestion.url}'\"&gt;\n                    &lt;div class=\"suggestion-title\"&gt;${suggestion.title}&lt;/div&gt;\n                    &lt;div class=\"suggestion-excerpt\"&gt;${suggestion.excerpt}&lt;/div&gt;\n                &lt;/div&gt;\n            `)\n            .join('');\n    }, 300));\n}\n\nasync function getSearchSuggestions(query) {\n    // \u8fd9\u91cc\u53ef\u4ee5\u5b9e\u73b0\u5b9e\u9645\u7684\u641c\u7d22\u903b\u8f91\n    // \u793a\u4f8b\u8fd4\u56de\u6570\u636e\n    return [\n        {\n            title: '\u76f8\u5173\u6587\u6863 1',\n            excerpt: '\u8fd9\u662f\u4e00\u6bb5\u76f8\u5173\u7684\u6587\u6863\u63cf\u8ff0...',\n            url: '#'\n        },\n        {\n            title: '\u76f8\u5173\u6587\u6863 2',\n            excerpt: '\u8fd9\u662f\u53e6\u4e00\u6bb5\u76f8\u5173\u7684\u6587\u6863\u63cf\u8ff0...',\n            url: '#'\n        }\n    ];\n}\n\nfunction setupHotkeys() {\n    document.addEventListener('keydown', (e) =&gt; {\n        // \u6309 ESC \u8fd4\u56de\u4e0a\u9875\n        if (e.key === 'Escape') {\n            window.history.back();\n        }\n\n        // \u6309 Enter \u6267\u884c\u641c\u7d22\n        if (e.key === 'Enter' &amp;&amp; document.activeElement.id === 'error-search-input') {\n            const query = document.activeElement.value;\n            if (query) {\n                window.location.href = `${window.location.origin}/search.html?q=${encodeURIComponent(query)}`;\n            }\n        }\n    });\n}\n\n// \u9632\u6296\u51fd\u6570\nfunction debounce(fn, delay) {\n    let timer = null;\n    return function(...args) {\n        clearTimeout(timer);\n        timer = setTimeout(() =&gt; fn.apply(this, args), delay);\n    };\n}\n&lt;/script&gt;\n</code></pre> <p>\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u5b8c\u6210\u4e86\u6587\u7ae0\u5e95\u90e8\u4fe1\u606f\u548c404\u9875\u9762\u7684\u6a21\u677f\u3002\u4e3b\u8981\u7279\u70b9\u5305\u62ec\uff1a</p> <ol> <li> <p>\u6587\u7ae0\u5e95\u90e8\uff1a - \u6e05\u6670\u7684\u4e0a\u4e0b\u6587\u7ae0\u5bfc\u822a - \u793e\u4ea4\u5206\u4eab\u6309\u94ae - \u76f8\u5173\u6587\u7ae0\u63a8\u8350 - \u96c6\u6210\u8bc4\u8bba\u7cfb\u7edf</p> </li> <li> <p>404\u9875\u9762\uff1a - \u53cb\u597d\u7684\u9519\u8bef\u63d0\u793a - \u5b9e\u65f6\u641c\u7d22\u5efa\u8bae - \u591a\u79cd\u8fd4\u56de\u9009\u9879 - \u952e\u76d8\u5feb\u6377\u952e\u652f\u6301</p> </li> </ol> <p>\u4f7f\u7528\u8fd9\u4e9b\u6a21\u677f\u65f6\uff0c\u9700\u8981\u5728 <code>mkdocs.yml</code> \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  custom_dir: docs/overrides\n  features:\n    - navigation.tracking\n    - search.suggest\n    - search.highlight\n\nextra:\n  comments:\n    provider: giscus\n    repo: username/repo\n    repo_id: your-repo-id\n    category: Comments\n    category_id: your-category-id\n</code></pre>"},{"location":"Technology/mkdocs%20material/#72","title":"7.2 \u4fee\u6539\u7ec4\u4ef6\u6a21\u677f","text":""},{"location":"Technology/mkdocs%20material/#721","title":"7.2.1 \u5bfc\u822a\u680f","text":""},{"location":"Technology/mkdocs%20material/#7211","title":"7.2.1.1 \u5bfc\u822a\u9879\u5b9a\u5236","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/nav.html --&gt;\n{% extends \"base.html\" %}\n\n{% block site_nav %}\n&lt;nav class=\"md-nav md-nav--primary\"&gt;\n    &lt;!-- \u81ea\u5b9a\u4e49\u5bfc\u822a\u5934\u90e8 --&gt;\n    &lt;div class=\"nav-header\"&gt;\n        {% if config.theme.logo %}\n        &lt;img src=\"{{ config.theme.logo }}\" alt=\"logo\" class=\"nav-logo\"&gt;\n        {% endif %}\n        &lt;span class=\"nav-title\"&gt;{{ config.site_name }}&lt;/span&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u81ea\u5b9a\u4e49\u5bfc\u822a\u9879 --&gt;\n    &lt;ul class=\"nav-items\"&gt;\n        {% for nav_item in nav %}\n        {% include \"partials/nav-item.html\" %}\n        {% endfor %}\n\n        &lt;!-- \u6dfb\u52a0\u81ea\u5b9a\u4e49\u5bfc\u822a\u9879 --&gt;\n        {% if config.extra.nav_links %}\n        {% for link in config.extra.nav_links %}\n        &lt;li class=\"nav-item custom\"&gt;\n            &lt;a href=\"{{ link.url }}\" class=\"nav-link\" {% if link.target %}target=\"{{ link.target }}\"{% endif %}&gt;\n                {% if link.icon %}\n                &lt;span class=\"nav-icon\"&gt;\n                    {% include \".icons/\" ~ link.icon ~ \".svg\" %}\n                &lt;/span&gt;\n                {% endif %}\n                {{ link.title }}\n            &lt;/a&gt;\n        &lt;/li&gt;\n        {% endfor %}\n        {% endif %}\n    &lt;/ul&gt;\n&lt;/nav&gt;\n</code></pre> <p>\u914d\u7f6e\u548c\u6837\u5f0f\uff1a</p> YAML<pre><code># mkdocs.yml\nextra:\n  nav_links:\n    - title: GitHub\n      url: https://github.com/your/repo\n      icon: material/github\n      target: _blank\n    - title: \u6587\u6863\n      url: /docs/\n      icon: material/file-document\n</code></pre> CSS<pre><code>/* docs/stylesheets/nav.css */\n.nav-header {\n    display: flex;\n    align-items: center;\n    padding: 1rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.nav-logo {\n    width: 32px;\n    height: 32px;\n    margin-right: 0.8rem;\n}\n\n.nav-items {\n    list-style: none;\n    padding: 0;\n    margin: 0;\n}\n\n.nav-item {\n    margin: 0.2rem 0;\n}\n\n.nav-link {\n    display: flex;\n    align-items: center;\n    padding: 0.8rem 1rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    transition: background-color 0.2s ease;\n}\n\n.nav-link:hover {\n    background-color: var(--md-code-bg-color);\n}\n\n.nav-icon {\n    margin-right: 0.8rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n\n/* \u81ea\u5b9a\u4e49\u5bfc\u822a\u9879\u6837\u5f0f */\n.nav-item.custom .nav-link {\n    color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7212","title":"7.2.1.2 \u641c\u7d22\u6846\u4f4d\u7f6e","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/search.html --&gt;\n{% block search_box %}\n&lt;div class=\"md-search\" data-md-component=\"search\" role=\"dialog\"&gt;\n    &lt;label class=\"md-search__overlay\" for=\"__search\"&gt;&lt;/label&gt;\n    &lt;div class=\"md-search__inner\" role=\"search\"&gt;\n        &lt;!-- \u641c\u7d22\u8f93\u5165\u6846 --&gt;\n        &lt;form class=\"md-search__form\"&gt;\n            &lt;input\n                type=\"text\"\n                class=\"md-search__input\"\n                name=\"query\"\n                aria-label=\"\u641c\u7d22\"\n                placeholder=\"\u641c\u7d22\u6587\u6863...\"\n                autocapitalize=\"off\"\n                autocomplete=\"off\"\n                autocorrect=\"off\"\n                spellcheck=\"false\"\n                data-md-component=\"search-query\"\n            &gt;\n            &lt;!-- \u641c\u7d22\u5feb\u6377\u952e\u63d0\u793a --&gt;\n            &lt;div class=\"md-search__shortcuts\"&gt;\n                &lt;kbd&gt;Ctrl&lt;/kbd&gt; + &lt;kbd&gt;K&lt;/kbd&gt;\n            &lt;/div&gt;\n        &lt;/form&gt;\n\n        &lt;!-- \u641c\u7d22\u7ed3\u679c --&gt;\n        &lt;div class=\"md-search__output\"&gt;\n            &lt;div class=\"md-search__scrollwrap\" data-md-scrollfix&gt;\n                &lt;div class=\"md-search-result\" data-md-component=\"search-result\"&gt;\n                    &lt;div class=\"md-search-result__meta\"&gt;\n                        \u6b63\u5728\u641c\u7d22...\n                    &lt;/div&gt;\n                    &lt;ol class=\"md-search-result__list\"&gt;&lt;/ol&gt;\n                &lt;/div&gt;\n            &lt;/div&gt;\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/div&gt;\n</code></pre> <p>\u6837\u5f0f\u5b9a\u5236\uff1a</p> CSS<pre><code>/* docs/stylesheets/search.css */\n/* \u641c\u7d22\u6846\u5bb9\u5668 */\n.md-search {\n    margin: 0 1rem;\n    padding: 0;\n    position: relative;\n}\n\n/* \u641c\u7d22\u8f93\u5165\u6846 */\n.md-search__input {\n    width: 100%;\n    height: 2.4rem;\n    padding: 0 2.4rem;\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color);\n    background-color: var(--md-default-bg-color);\n    border: 1px solid var(--md-default-fg-color--lightest);\n    border-radius: 1.2rem;\n}\n\n/* \u641c\u7d22\u56fe\u6807 */\n.md-search__icon {\n    position: absolute;\n    left: 0.8rem;\n    top: 50%;\n    transform: translateY(-50%);\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u5feb\u6377\u952e\u63d0\u793a */\n.md-search__shortcuts {\n    position: absolute;\n    right: 0.8rem;\n    top: 50%;\n    transform: translateY(-50%);\n    display: flex;\n    gap: 0.2rem;\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u641c\u7d22\u7ed3\u679c\u5bb9\u5668 */\n.md-search__output {\n    position: absolute;\n    top: 100%;\n    width: 100%;\n    margin-top: 0.4rem;\n    background-color: var(--md-default-bg-color);\n    border-radius: 0.2rem;\n    box-shadow: var(--md-shadow-z2);\n    overflow: auto;\n    z-index: 1;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7213","title":"7.2.1.3 \u79fb\u52a8\u7aef\u9002\u914d","text":"CSS<pre><code>/* \u79fb\u52a8\u7aef\u5bfc\u822a\u6837\u5f0f */\n@media screen and (max-width: 76.1875em) {\n    /* \u5bfc\u822a\u5207\u6362\u6309\u94ae */\n    .md-header-nav__button.md-icon {\n        padding: 0.4rem;\n        margin: 0.4rem;\n    }\n\n    /* \u5bfc\u822a\u62bd\u5c49 */\n    .md-nav--primary {\n        position: fixed;\n        top: 0;\n        left: -18rem;\n        width: 18rem;\n        height: 100%;\n        background-color: var(--md-default-bg-color);\n        transition: left 0.25s;\n        z-index: 2;\n    }\n\n    /* \u5bfc\u822a\u62bd\u5c49\u6253\u5f00\u72b6\u6001 */\n    .md-nav--primary.md-nav--opened {\n        left: 0;\n    }\n\n    /* \u641c\u7d22\u6846\u5168\u5c4f */\n    .md-search__inner {\n        position: fixed;\n        top: 0;\n        left: 0;\n        width: 100%;\n        height: 100%;\n        padding: 1rem;\n        background-color: var(--md-default-bg-color);\n        z-index: 3;\n    }\n\n    /* \u641c\u7d22\u7ed3\u679c\u5168\u5c4f */\n    .md-search__output {\n        position: fixed;\n        top: 4rem;\n        height: calc(100% - 4rem);\n    }\n}\n\n/* \u5e73\u677f\u9002\u914d */\n@media screen and (min-width: 76.25em) and (max-width: 96.25em) {\n    .md-nav--primary {\n        width: 16rem;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#722","title":"7.2.2 \u9875\u811a","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/footer.html --&gt;\n&lt;footer class=\"md-footer\"&gt;\n    &lt;div class=\"md-footer-meta md-typeset\"&gt;\n        &lt;div class=\"md-footer-meta__inner md-grid\"&gt;\n            &lt;!-- \u7248\u6743\u4fe1\u606f --&gt;\n            &lt;div class=\"md-footer-copyright\"&gt;\n                {% if config.copyright %}\n                &lt;div class=\"md-footer-copyright__highlight\"&gt;\n                    {{ config.copyright }}\n                &lt;/div&gt;\n                {% endif %}\n\n                &lt;!-- \u6784\u5efa\u4fe1\u606f --&gt;\n                &lt;div class=\"md-footer-build\"&gt;\n                    Documentation built with\n                    &lt;a href=\"https://www.mkdocs.org\" target=\"_blank\" rel=\"noopener\"&gt;\n                        MkDocs\n                    &lt;/a&gt;\n                    and\n                    &lt;a href=\"https://squidfunk.github.io/mkdocs-material/\" target=\"_blank\" rel=\"noopener\"&gt;\n                        Material for MkDocs\n                    &lt;/a&gt;\n                &lt;/div&gt;\n            &lt;/div&gt;\n\n            &lt;!-- \u793e\u4ea4\u94fe\u63a5 --&gt;\n            {% if config.extra.social %}\n            &lt;div class=\"md-footer-social\"&gt;\n                {% for social in config.extra.social %}\n                &lt;a href=\"{{ social.link }}\" \n                   target=\"_blank\" \n                   rel=\"noopener\" \n                   title=\"{{ social.name }}\"\n                   class=\"md-footer-social__link\"&gt;\n                    {% include \".icons/\" ~ social.icon ~ \".svg\" %}\n                &lt;/a&gt;\n                {% endfor %}\n            &lt;/div&gt;\n            {% endif %}\n\n            &lt;!-- \u5907\u6848\u4fe1\u606f --&gt;\n            {% if config.extra.icp %}\n            &lt;div class=\"md-footer-icp\"&gt;\n                &lt;a href=\"https://beian.miit.gov.cn/\" target=\"_blank\" rel=\"noopener\"&gt;\n                    {{ config.extra.icp }}\n                &lt;/a&gt;\n            &lt;/div&gt;\n            {% endif %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n&lt;/footer&gt;\n</code></pre> <p>\u914d\u7f6e\uff1a</p> YAML<pre><code># mkdocs.yml\ncopyright: Copyright &amp;copy; 2024 Your Name\nextra:\n  social:\n    - icon: material/github\n      name: GitHub\n      link: https://github.com/your-username\n    - icon: material/twitter\n      name: Twitter\n      link: https://twitter.com/your-username\n  icp: \u4eacICP\u5907xxxxxxxx\u53f7\n</code></pre> <p>\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/footer.css */\n.md-footer {\n    background-color: var(--md-default-bg-color);\n    color: var(--md-default-fg-color);\n    padding: 2rem 0;\n    border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.md-footer-meta__inner {\n    display: flex;\n    flex-wrap: wrap;\n    justify-content: space-between;\n    align-items: center;\n    gap: 1rem;\n}\n\n/* \u7248\u6743\u4fe1\u606f */\n.md-footer-copyright {\n    font-size: 0.8rem;\n}\n\n.md-footer-copyright__highlight {\n    margin-bottom: 0.5rem;\n}\n\n.md-footer-build {\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u793e\u4ea4\u94fe\u63a5 */\n.md-footer-social {\n    display: flex;\n    gap: 1rem;\n}\n\n.md-footer-social__link {\n    width: 2rem;\n    height: 2rem;\n    display: flex;\n    align-items: center;\n    justify-content: center;\n    color: var(--md-default-fg-color);\n    border-radius: 50%;\n    transition: all 0.2s ease;\n}\n\n.md-footer-social__link:hover {\n    background-color: var(--md-code-bg-color);\n    color: var(--md-accent-fg-color);\n}\n\n/* \u5907\u6848\u4fe1\u606f */\n.md-footer-icp {\n    width: 100%;\n    text-align: center;\n    margin-top: 1rem;\n    font-size: 0.8rem;\n}\n\n.md-footer-icp a {\n    color: var(--md-default-fg-color--light);\n    text-decoration: none;\n}\n\n/* \u54cd\u5e94\u5f0f\u9002\u914d */\n@media screen and (max-width: 76.1875em) {\n    .md-footer-meta__inner {\n        flex-direction: column;\n        text-align: center;\n    }\n\n    .md-footer-social {\n        justify-content: center;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#723","title":"7.2.3 \u641c\u7d22\u6846","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/search-modal.html --&gt;\n&lt;div class=\"md-search-modal\" data-md-component=\"search-modal\"&gt;\n    &lt;div class=\"md-search-modal__overlay\" data-md-component=\"search-modal-overlay\"&gt;&lt;/div&gt;\n\n    &lt;div class=\"md-search-modal__inner\"&gt;\n        &lt;!-- \u641c\u7d22\u5934\u90e8 --&gt;\n        &lt;header class=\"md-search-modal__header\"&gt;\n            &lt;form class=\"md-search-modal__form\"&gt;\n                &lt;input\n                    type=\"text\"\n                    class=\"md-search-modal__input\"\n                    name=\"query\"\n                    placeholder=\"\u641c\u7d22\u6587\u6863...\"\n                    data-md-component=\"search-query\"\n                    autocapitalize=\"off\"\n                    autocomplete=\"off\"\n                    autocorrect=\"off\"\n                    spellcheck=\"false\"\n                &gt;\n                &lt;!-- \u5feb\u6377\u952e\u63d0\u793a --&gt;\n                &lt;div class=\"md-search-modal__shortcuts\"&gt;\n                    &lt;kbd&gt;\u2191&lt;/kbd&gt;&lt;kbd&gt;\u2193&lt;/kbd&gt; \u9009\u62e9\n                    &lt;kbd&gt;\u21b5&lt;/kbd&gt; \u6253\u5f00\n                    &lt;kbd&gt;ESC&lt;/kbd&gt; \u5173\u95ed\n                &lt;/div&gt;\n            &lt;/form&gt;\n        &lt;/header&gt;\n\n        &lt;!-- \u641c\u7d22\u7ed3\u679c --&gt;\n        &lt;main class=\"md-search-modal__body\"&gt;\n            &lt;div class=\"md-search-modal__scrollwrap\"&gt;\n                &lt;div class=\"md-search-modal__meta\"&gt;\n                    \u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22\n                &lt;/div&gt;\n\n                &lt;div class=\"md-search-modal__results\"&gt;\n                    &lt;!-- \u641c\u7d22\u7ed3\u679c\u5217\u8868 --&gt;\n                    &lt;div class=\"md-search-modal__list\"&gt;&lt;/div&gt;\n\n                    &lt;!-- \u641c\u7d22\u5efa\u8bae --&gt;\n                    &lt;div class=\"md-search-modal__suggestions\"&gt;\n                        &lt;h3&gt;\u60a8\u53ef\u80fd\u611f\u5174\u8da3\uff1a&lt;/h3&gt;\n                        &lt;div class=\"suggestions-list\"&gt;\n                            &lt;!-- \u52a8\u6001\u751f\u6210\u7684\u5efa\u8bae\u5217\u8868 --&gt;\n                        &lt;/div&gt;\n                    &lt;/div&gt;\n                &lt;/div&gt;\n            &lt;/div&gt;\n        &lt;/main&gt;\n    &lt;/div&gt;\n&lt;/div&gt;\n</code></pre> <p>\u641c\u7d22\u529f\u80fd\u811a\u672c\uff1a</p> JavaScript<pre><code>// docs/javascripts/search.js\nclass SearchModal {\n    constructor() {\n        this.modal = document.querySelector('.md-search-modal');\n        this.overlay = document.querySelector('.md-search-modal__overlay');\n        this.input = document.querySelector('.md-search-modal__input');\n        this.resultsList = document.querySelector('.md-search-modal__list');\n        this.suggestions = document.querySelector('.md-search-modal__suggestions');\n\n        this.searchIndex = null;\n        this.searchResults = [];\n        this.currentFocus = -1;\n\n        this.init();\n    }\n\n    init() {\n        // \u521d\u59cb\u5316\u641c\u7d22\u7d22\u5f15\n        this.buildSearchIndex();\n        // \u7ed1\u5b9a\u4e8b\u4ef6\n        this.bindEvents();\n        // \u8bbe\u7f6e\u5feb\u6377\u952e\n        this.setupShortcuts();\n    }\n\n    async buildSearchIndex() {\n        // \u6784\u5efa\u641c\u7d22\u7d22\u5f15\n        const response = await fetch('/search/search_index.json');\n        const data = await response.json();\n\n        // \u4f7f\u7528 lunr.js \u6784\u5efa\u7d22\u5f15\n        this.searchIndex = lunr(function() {\n            this.field('title', { boost: 10 });\n            this.field('text');\n            this.ref('location');\n\n            data.docs.forEach(function(doc) {\n                this.add(doc);\n            }, this);\n        });\n    }\n\n    bindEvents() {\n        // \u641c\u7d22\u6846\u8f93\u5165\u4e8b\u4ef6\n        this.input.addEventListener('input', debounce(() =&gt; {\n            const query = this.input.value;\n            if (query.length &gt;= 2) {\n                this.performSearch(query);\n            } else {\n                this.clearResults();\n            }\n        }, 200));\n\n        // \u641c\u7d22\u7ed3\u679c\u5bfc\u822a\n        this.input.addEventListener('keydown', (e) =&gt; {\n            switch (e.key) {\n                case 'ArrowUp':\n                    e.preventDefault();\n                    this.navigateResults('up');\n                    break;\n                case 'ArrowDown':\n                    e.preventDefault();\n                    this.navigateResults('down');\n                    break;\n                case 'Enter':\n                    e.preventDefault();\n                    this.openResult();\n                    break;\n                case 'Escape':\n                    e.preventDefault();\n                    this.closeModal();\n                    break;\n            }\n        });\n\n        // \u70b9\u51fb\u906e\u7f69\u5173\u95ed\n        this.overlay.addEventListener('click', () =&gt; this.closeModal());\n    }\n\n    setupShortcuts() {\n        // \u5168\u5c40\u641c\u7d22\u5feb\u6377\u952e\n        document.addEventListener('keydown', (e) =&gt; {\n            // Ctrl/Cmd + K \u6253\u5f00\u641c\u7d22\n            if ((e.ctrlKey || e.metaKey) &amp;&amp; e.key === 'k') {\n                e.preventDefault();\n                this.openModal();\n            }\n        });\n    }\n\n    async performSearch(query) {\n        if (!this.searchIndex) return;\n\n        // \u6267\u884c\u641c\u7d22\n        this.searchResults = this.searchIndex.search(query).map(result =&gt; {\n            return {\n                ref: result.ref,\n                score: result.score,\n                ...this.getDocumentByRef(result.ref)\n            };\n        });\n\n        // \u6e32\u67d3\u7ed3\u679c\n        this.renderResults();\n        // \u66f4\u65b0\u5efa\u8bae\n        this.updateSuggestions(query);\n    }\n\n    renderResults() {\n        this.resultsList.innerHTML = this.searchResults\n            .map((result, index) =&gt; `\n                &lt;div class=\"search-result-item ${index === this.currentFocus ? 'focused' : ''}\"\n                     data-index=\"${index}\"&gt;\n                    &lt;div class=\"result-title\"&gt;${this.highlightText(result.title)}&lt;/div&gt;\n                    &lt;div class=\"result-excerpt\"&gt;${this.highlightText(result.excerpt)}&lt;/div&gt;\n                    &lt;div class=\"result-location\"&gt;${result.location}&lt;/div&gt;\n                &lt;/div&gt;\n            `)\n            .join('');\n    }\n\n    highlightText(text) {\n        const query = this.input.value;\n        if (!query) return text;\n\n        const regex = new RegExp(`(${query})`, 'gi');\n        return text.replace(regex, '&lt;mark&gt;$1&lt;/mark&gt;');\n    }\n\n    updateSuggestions(query) {\n        // \u6839\u636e\u641c\u7d22\u5386\u53f2\u548c\u70ed\u95e8\u641c\u7d22\u751f\u6210\u5efa\u8bae\n        const suggestions = this.generateSuggestions(query);\n\n        this.suggestions.innerHTML = suggestions\n            .map(suggestion =&gt; `\n                &lt;div class=\"suggestion-item\" data-query=\"${suggestion.query}\"&gt;\n                    &lt;span class=\"suggestion-icon\"&gt;\n                        ${suggestion.type === 'history' ? '\u23f1\ufe0f' : '\ud83d\udd25'}\n                    &lt;/span&gt;\n                    ${suggestion.query}\n                &lt;/div&gt;\n            `)\n            .join('');\n    }\n\n    navigateResults(direction) {\n        const maxIndex = this.searchResults.length - 1;\n\n        if (direction === 'up') {\n            this.currentFocus = this.currentFocus &gt; 0 ? this.currentFocus - 1 : maxIndex;\n        } else {\n            this.currentFocus = this.currentFocus &lt; maxIndex ? this.currentFocus + 1 : 0;\n        }\n\n        this.renderResults();\n        this.scrollToFocused();\n    }\n\n    scrollToFocused() {\n        const focused = this.resultsList.querySelector('.focused');\n        if (focused) {\n            focused.scrollIntoView({\n                behavior: 'smooth',\n                block: 'nearest'\n            });\n        }\n    }\n\n    openResult() {\n        const result = this.searchResults[this.currentFocus];\n        if (result) {\n            window.location.href = result.location;\n        }\n    }\n\n    openModal() {\n        this.modal.classList.add('active');\n        this.input.focus();\n        document.body.style.overflow = 'hidden';\n    }\n\n    closeModal() {\n        this.modal.classList.remove('active');\n        this.input.value = '';\n        this.clearResults();\n        document.body.style.overflow = '';\n    }\n\n    clearResults() {\n        this.searchResults = [];\n        this.currentFocus = -1;\n        this.resultsList.innerHTML = '';\n        this.suggestions.innerHTML = '';\n    }\n}\n\n// \u521d\u59cb\u5316\u641c\u7d22\u529f\u80fd\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new SearchModal();\n});\n</code></pre> <p>\u641c\u7d22\u6846\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/search-modal.css */\n.md-search-modal {\n    position: fixed;\n    top: 0;\n    left: 0;\n    width: 100%;\n    height: 100%;\n    z-index: 1000;\n    opacity: 0;\n    visibility: hidden;\n    transition: all 0.2s ease;\n}\n\n.md-search-modal.active {\n    opacity: 1;\n    visibility: visible;\n}\n\n.md-search-modal__overlay {\n    position: absolute;\n    top: 0;\n    left: 0;\n    width: 100%;\n    height: 100%;\n    background: rgba(0, 0, 0, 0.5);\n    backdrop-filter: blur(4px);\n}\n\n.md-search-modal__inner {\n    position: relative;\n    width: 90%;\n    max-width: 800px;\n    margin: 2rem auto;\n    background: var(--md-default-bg-color);\n    border-radius: 8px;\n    box-shadow: var(--md-shadow-z3);\n}\n\n/* \u641c\u7d22\u7ed3\u679c\u6837\u5f0f */\n.search-result-item {\n    padding: 1rem;\n    cursor: pointer;\n    transition: background 0.2s ease;\n}\n\n.search-result-item:hover,\n.search-result-item.focused {\n    background: var(--md-code-bg-color);\n}\n\n.result-title {\n    font-size: 1.1rem;\n    font-weight: 500;\n    margin-bottom: 0.5rem;\n}\n\n.result-excerpt {\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n    margin-bottom: 0.5rem;\n}\n\n.result-location {\n    font-size: 0.8rem;\n    color: var(--md-accent-fg-color);\n}\n\n/* \u9ad8\u4eae\u5339\u914d\u6587\u672c */\nmark {\n    background: var(--md-accent-fg-color);\n    color: white;\n    padding: 0 0.2rem;\n    border-radius: 2px;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#724","title":"7.2.4 \u76ee\u5f55","text":""},{"location":"Technology/mkdocs%20material/#7241","title":"7.2.4.1 \u76ee\u5f55\u7ed3\u6784","text":"HTML<pre><code>&lt;!-- docs/overrides/partials/toc.html --&gt;\n&lt;nav class=\"md-toc\" aria-label=\"\u76ee\u5f55\"&gt;\n    &lt;div class=\"md-toc__header\"&gt;\n        &lt;h2 class=\"md-toc__title\"&gt;\u76ee\u5f55&lt;/h2&gt;\n        &lt;button class=\"md-toc__toggle\" aria-label=\"\u5c55\u5f00/\u6536\u8d77\"&gt;\n            {% include \".icons/material/chevron-down.svg\" %}\n        &lt;/button&gt;\n    &lt;/div&gt;\n\n    &lt;div class=\"md-toc__inner\"&gt;\n        {% set toc = page.toc %}\n        &lt;ul class=\"md-toc__list\"&gt;\n            {% for toc_item in toc %}\n                {% include \"partials/toc-item.html\" %}\n            {% endfor %}\n        &lt;/ul&gt;\n    &lt;/div&gt;\n&lt;/nav&gt;\n\n&lt;!-- docs/overrides/partials/toc-item.html --&gt;\n&lt;li class=\"md-toc__item\"&gt;\n    &lt;a href=\"{{ toc_item.url }}\" class=\"md-toc__link\"&gt;\n        {{ toc_item.title }}\n    &lt;/a&gt;\n\n    {% if toc_item.children %}\n    &lt;ul class=\"md-toc__list\"&gt;\n        {% for toc_item in toc_item.children %}\n            {% include \"partials/toc-item.html\" %}\n        {% endfor %}\n    &lt;/ul&gt;\n    {% endif %}\n&lt;/li&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7242","title":"7.2.4.2 \u6eda\u52a8\u540c\u6b65","text":"JavaScript<pre><code>// docs/javascripts/toc.js\nclass TableOfContents {\n    constructor() {\n        this.toc = document.querySelector('.md-toc');\n        this.tocLinks = this.toc.querySelectorAll('.md-toc__link');\n        this.headings = document.querySelectorAll('h1[id], h2[id], h3[id], h4[id], h5[id], h6[id]');\n        this.intersectionObserver = null;\n\n        this.init();\n    }\n\n    init() {\n        this.setupIntersectionObserver();\n        this.setupScrollSpy();\n        this.setupToggle();\n    }\n\n    setupIntersectionObserver() {\n        this.intersectionObserver = new IntersectionObserver(\n            (entries) =&gt; {\n                entries.forEach(entry =&gt; {\n                    if (entry.isIntersecting) {\n                        const id = entry.target.getAttribute('id');\n                        this.highlightTocItem(id);\n                    }\n                });\n            },\n            {\n                rootMargin: '0px 0px -80% 0px'\n            }\n        );\n\n        this.headings.forEach(heading =&gt; {\n            this.intersectionObserver.observe(heading);\n        });\n    }\n\n    setupScrollSpy() {\n        this.tocLinks.forEach(link =&gt; {\n            link.addEventListener('click', (e) =&gt; {\n                e.preventDefault();\n                const id = link.getAttribute('href').substring(1);\n                const target = document.getElementById(id);\n\n                if (target) {\n                    window.scrollTo({\n                        top: target.offsetTop - 100,\n                        behavior: 'smooth'\n                    });\n\n                    // \u66f4\u65b0 URL\n                    history.pushState(null, null, `#${id}`);\n                }\n            });\n        });\n    }\n\n    highlightTocItem(id) {\n        // \u79fb\u9664\u6240\u6709\u9ad8\u4eae\n        this.tocLinks.forEach(link =&gt; {\n            link.classList.remove('active');\n        });\n\n        // \u6dfb\u52a0\u65b0\u9ad8\u4eae\n        const activeLink = this.toc.querySelector(`a[href=\"#${id}\"]`);\n        if (activeLink) {\n            activeLink.classList.add('active');\n            this.expandParents(activeLink);\n        }\n    }\n\n    expandParents(element) {\n        let parent = element.parentElement;\n        while (parent &amp;&amp; parent.classList.contains('md-toc__item')) {\n            const list = parent.querySelector('.md-toc__list');\n            if (list) {\n                list.style.height = 'auto';\n                parent.classList.add('expanded');\n            }\n            parent = parent.parentElement;\n        }\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#7243","title":"7.2.4.3 \u5c55\u5f00\u6536\u8d77","text":"JavaScript<pre><code>setupToggle() {\n    const toggleButton = this.toc.querySelector('.md-toc__toggle');\n    const tocInner = this.toc.querySelector('.md-toc__inner');\n\n    toggleButton?.addEventListener('click', () =&gt; {\n        const isExpanded = this.toc.classList.contains('expanded');\n\n        if (isExpanded) {\n            this.toc.classList.remove('expanded');\n            tocInner.style.height = '0';\n        } else {\n            this.toc.classList.add('expanded');\n            tocInner.style.height = tocInner.scrollHeight + 'px';\n        }\n    });\n\n    // \u6dfb\u52a0\u5c55\u5f00/\u6536\u8d77\u6240\u6709\u6309\u94ae\n    const expandAllButton = document.createElement('button');\n    expandAllButton.className = 'md-toc__expand-all';\n    expandAllButton.innerHTML = '\u5c55\u5f00\u5168\u90e8';\n    expandAllButton.addEventListener('click', () =&gt; this.toggleAll(true));\n\n    const collapseAllButton = document.createElement('button');\n    collapseAllButton.className = 'md-toc__collapse-all';\n    collapseAllButton.innerHTML = '\u6536\u8d77\u5168\u90e8';\n    collapseAllButton.addEventListener('click', () =&gt; this.toggleAll(false));\n\n    const buttonGroup = document.createElement('div');\n    buttonGroup.className = 'md-toc__button-group';\n    buttonGroup.appendChild(expandAllButton);\n    buttonGroup.appendChild(collapseAllButton);\n\n    this.toc.querySelector('.md-toc__header').appendChild(buttonGroup);\n}\n\ntoggleAll(expand) {\n    const lists = this.toc.querySelectorAll('.md-toc__list');\n    lists.forEach(list =&gt; {\n        if (expand) {\n            list.style.height = 'auto';\n            list.parentElement.classList.add('expanded');\n        } else {\n            list.style.height = '0';\n            list.parentElement.classList.remove('expanded');\n        }\n    });\n}\n</code></pre> <p>\u76ee\u5f55\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/toc.css */\n.md-toc {\n    position: sticky;\n    top: 4rem;\n    padding: 1rem;\n    max-height: calc(100vh - 4rem);\n    overflow-y: auto;\n    background: var(--md-default-bg-color);\n    border-left: 1px solid var(--md-default-fg-color--lightest);\n    font-size: 0.8rem;\n}\n\n/* \u76ee\u5f55\u5934\u90e8 */\n.md-toc__header {\n    display: flex;\n    justify-content: space-between;\n    align-items: center;\n    margin-bottom: 1rem;\n    padding-bottom: 0.5rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.md-toc__title {\n    font-size: 1rem;\n    font-weight: 600;\n    margin: 0;\n}\n\n.md-toc__button-group {\n    display: flex;\n    gap: 0.5rem;\n}\n\n.md-toc__button-group button {\n    padding: 0.2rem 0.5rem;\n    font-size: 0.7rem;\n    color: var(--md-default-fg-color--light);\n    background: var(--md-code-bg-color);\n    border: none;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.md-toc__button-group button:hover {\n    color: var(--md-accent-fg-color);\n    background: var(--md-code-bg-color--light);\n}\n\n/* \u76ee\u5f55\u5217\u8868 */\n.md-toc__list {\n    list-style: none;\n    padding: 0;\n    margin: 0;\n}\n\n.md-toc__item {\n    margin: 0.2rem 0;\n}\n\n/* \u76ee\u5f55\u94fe\u63a5 */\n.md-toc__link {\n    display: block;\n    padding: 0.2rem 0;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    transition: all 0.2s ease;\n    border-radius: 4px;\n}\n\n.md-toc__link:hover {\n    color: var(--md-accent-fg-color);\n    background: var(--md-code-bg-color);\n    padding-left: 0.5rem;\n}\n\n/* \u5f53\u524d\u6fc0\u6d3b\u9879 */\n.md-toc__link.active {\n    color: var(--md-accent-fg-color);\n    font-weight: 500;\n    background: var(--md-code-bg-color);\n    padding-left: 0.5rem;\n}\n\n/* \u5d4c\u5957\u5c42\u7ea7 */\n.md-toc__item .md-toc__list {\n    margin-left: 1rem;\n    border-left: 1px solid var(--md-default-fg-color--lightest);\n    overflow: hidden;\n    height: 0;\n    transition: height 0.3s ease;\n}\n\n.md-toc__item.expanded &gt; .md-toc__list {\n    height: auto;\n}\n\n/* \u6298\u53e0\u6307\u793a\u5668 */\n.md-toc__item &gt; .md-toc__link::before {\n    content: '';\n    display: inline-block;\n    width: 0.8rem;\n    height: 0.8rem;\n    margin-right: 0.2rem;\n    background-image: url('data:image/svg+xml,&lt;svg xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 24 24\"&gt;&lt;path d=\"M8.59 16.59L13.17 12 8.59 7.41 10 6l6 6-6 6-1.41-1.41z\"/&gt;&lt;/svg&gt;');\n    background-size: contain;\n    transform: rotate(0);\n    transition: transform 0.3s ease;\n}\n\n.md-toc__item.expanded &gt; .md-toc__link::before {\n    transform: rotate(90deg);\n}\n\n/* \u6eda\u52a8\u6761\u6837\u5f0f */\n.md-toc::-webkit-scrollbar {\n    width: 4px;\n}\n\n.md-toc::-webkit-scrollbar-track {\n    background: transparent;\n}\n\n.md-toc::-webkit-scrollbar-thumb {\n    background: var(--md-default-fg-color--lighter);\n    border-radius: 2px;\n}\n\n/* \u54cd\u5e94\u5f0f\u8bbe\u8ba1 */\n@media screen and (max-width: 76.1875em) {\n    .md-toc {\n        position: fixed;\n        top: 0;\n        right: -18rem;\n        width: 18rem;\n        height: 100vh;\n        max-height: none;\n        margin: 0;\n        padding: 1rem;\n        background: var(--md-default-bg-color);\n        border-left: 1px solid var(--md-default-fg-color--lightest);\n        box-shadow: var(--md-shadow-z3);\n        transition: right 0.3s ease;\n        z-index: 3;\n    }\n\n    .md-toc.expanded {\n        right: 0;\n    }\n\n    /* \u79fb\u52a8\u7aef\u8986\u76d6\u5c42 */\n    .md-toc-overlay {\n        display: none;\n        position: fixed;\n        top: 0;\n        left: 0;\n        width: 100%;\n        height: 100%;\n        background: rgba(0, 0, 0, 0.3);\n        z-index: 2;\n    }\n\n    .md-toc.expanded + .md-toc-overlay {\n        display: block;\n    }\n}\n\n/* \u5e73\u677f\u9002\u914d */\n@media screen and (min-width: 76.25em) and (max-width: 96.25em) {\n    .md-toc {\n        padding: 0.8rem;\n    }\n\n    .md-toc__list {\n        margin-left: 0.8rem;\n    }\n}\n</code></pre> <p>\u5b8c\u6574\u7684\u76ee\u5f55\u529f\u80fd\u5b9e\u73b0\uff1a</p> JavaScript<pre><code>// docs/javascripts/toc.js\nclass TableOfContents {\n    constructor() {\n        this.toc = document.querySelector('.md-toc');\n        this.tocLinks = this.toc.querySelectorAll('.md-toc__link');\n        this.headings = document.querySelectorAll('h1[id], h2[id], h3[id], h4[id], h5[id], h6[id]');\n        this.intersectionObserver = null;\n        this.isScrolling = false;\n        this.scrollTimeout = null;\n\n        this.init();\n    }\n\n    init() {\n        this.setupIntersectionObserver();\n        this.setupScrollSpy();\n        this.setupToggle();\n        this.setupMobileToggle();\n        this.handleInitialHash();\n    }\n\n    handleInitialHash() {\n        // \u5904\u7406\u9875\u9762\u52a0\u8f7d\u65f6\u7684 hash\n        if (window.location.hash) {\n            const id = window.location.hash.substring(1);\n            const target = document.getElementById(id);\n            if (target) {\n                setTimeout(() =&gt; {\n                    target.scrollIntoView();\n                    this.highlightTocItem(id);\n                }, 100);\n            }\n        }\n    }\n\n    setupMobileToggle() {\n        // \u521b\u5efa\u79fb\u52a8\u7aef\u5f00\u5173\u6309\u94ae\n        const toggleButton = document.createElement('button');\n        toggleButton.className = 'md-toc-toggle';\n        toggleButton.innerHTML = `\n            &lt;span class=\"md-toc-toggle__icon\"&gt;\n                {% include \".icons/material/menu.svg\" %}\n            &lt;/span&gt;\n        `;\n\n        // \u521b\u5efa\u906e\u7f69\u5c42\n        const overlay = document.createElement('div');\n        overlay.className = 'md-toc-overlay';\n\n        document.body.appendChild(toggleButton);\n        document.body.appendChild(overlay);\n\n        // \u7ed1\u5b9a\u4e8b\u4ef6\n        toggleButton.addEventListener('click', () =&gt; {\n            this.toc.classList.toggle('expanded');\n            document.body.style.overflow = this.toc.classList.contains('expanded') ? 'hidden' : '';\n        });\n\n        overlay.addEventListener('click', () =&gt; {\n            this.toc.classList.remove('expanded');\n            document.body.style.overflow = '';\n        });\n    }\n\n    updateTocHeight() {\n        const lists = this.toc.querySelectorAll('.md-toc__list');\n        lists.forEach(list =&gt; {\n            if (list.parentElement.classList.contains('expanded')) {\n                list.style.height = list.scrollHeight + 'px';\n            }\n        });\n    }\n\n    onResize() {\n        // \u76d1\u542c\u7a97\u53e3\u5927\u5c0f\u53d8\u5316\uff0c\u66f4\u65b0\u76ee\u5f55\u9ad8\u5ea6\n        window.addEventListener('resize', debounce(() =&gt; {\n            this.updateTocHeight();\n        }, 100));\n    }\n}\n\n// \u5de5\u5177\u51fd\u6570\nfunction debounce(fn, delay) {\n    let timer = null;\n    return function(...args) {\n        clearTimeout(timer);\n        timer = setTimeout(() =&gt; fn.apply(this, args), delay);\n    };\n}\n\n// \u521d\u59cb\u5316\u76ee\u5f55\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new TableOfContents();\n});\n</code></pre> <p>\u4f7f\u7528\u8fd9\u4e9b\u4ee3\u7801\uff0c\u9700\u8981\u5728 <code>mkdocs.yml</code> \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684\u914d\u7f6e\uff1a</p> YAML<pre><code>theme:\n  name: material\n  custom_dir: docs/overrides\n  features:\n    - toc.integrate\n    - toc.follow\n\nextra_css:\n  - stylesheets/toc.css\n\nextra_javascript:\n  - javascripts/toc.js\n</code></pre> <p>\u8fd9\u6837\u5c31\u5b8c\u6210\u4e86\u4e00\u4e2a\u529f\u80fd\u5b8c\u6574\u3001\u4ea4\u4e92\u53cb\u597d\u7684\u76ee\u5f55\u5bfc\u822a\u7cfb\u7edf\uff0c\u4e3b\u8981\u7279\u70b9\u5305\u62ec\uff1a</p> <ol> <li>\u81ea\u52a8\u9ad8\u4eae\u5f53\u524d\u9605\u8bfb\u4f4d\u7f6e</li> <li>\u5e73\u6ed1\u6eda\u52a8\u5230\u76ee\u6807\u4f4d\u7f6e</li> <li>\u652f\u6301\u5c55\u5f00/\u6536\u8d77\u529f\u80fd</li> <li>\u79fb\u52a8\u7aef\u81ea\u9002\u5e94\u5e03\u5c40</li> <li>\u4f18\u96c5\u7684\u52a8\u753b\u6548\u679c</li> <li>\u826f\u597d\u7684\u53ef\u8bbf\u95ee\u6027\u652f\u6301</li> <li>\u6027\u80fd\u4f18\u5316\u8003\u8651</li> </ol>"},{"location":"Technology/mkdocs%20material/#8","title":"8 \u63d2\u4ef6\u4f7f\u7528","text":""},{"location":"Technology/mkdocs%20material/#81","title":"8.1 \u5fc5\u5907\u63d2\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#8111-search","title":"8.1.1.1 search","text":""},{"location":"Technology/mkdocs%20material/#8112","title":"8.1.1.2 \u57fa\u7840\u914d\u7f6e","text":"<ol> <li>\u5b89\u88c5\u641c\u7d22\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-material\n</code></pre> <ol> <li>\u914d\u7f6e\u641c\u7d22\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - search:\n      # \u641c\u7d22\u7d22\u5f15\u8bbe\u7f6e\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.]+'    # \u5206\u8bcd\u5206\u9694\u7b26\n      min_search_length: 2      # \u6700\u5c0f\u641c\u7d22\u957f\u5ea6\n      prebuild_index: true      # \u9884\u6784\u5efa\u7d22\u5f15\n\n      # \u641c\u7d22\u5185\u5bb9\u914d\u7f6e\n      indexing:\n        full_sections: true     # \u7d22\u5f15\u5b8c\u6574\u7ae0\u8282\n        headings: true         # \u7d22\u5f15\u6807\u9898\n        content: true         # \u7d22\u5f15\u5185\u5bb9\n        tags: true           # \u7d22\u5f15\u6807\u7b7e\n\n      # \u641c\u7d22\u7ed3\u679c\u6392\u5e8f\n      scoring:\n        title_boost: 10      # \u6807\u9898\u6743\u91cd\n        heading_boost: 5     # \u6807\u9898\u6743\u91cd\n        content_boost: 1     # \u5185\u5bb9\u6743\u91cd\n</code></pre> <ol> <li>\u641c\u7d22\u4e3b\u9898\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>theme:\n  features:\n    - search.highlight        # \u641c\u7d22\u9ad8\u4eae\n    - search.share           # \u641c\u7d22\u5206\u4eab\n    - search.suggest         # \u641c\u7d22\u5efa\u8bae\n\n  # \u641c\u7d22\u754c\u9762\u6587\u5b57\n  language: zh\n  palette:\n    - search:\n        placeholder: \u641c\u7d22\u6587\u6863\n        result:\n          no_results_text: \u672a\u627e\u5230\u76f8\u5173\u7ed3\u679c\n          searching_text: \u6b63\u5728\u641c\u7d22...\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8113","title":"8.1.1.3 \u4e2d\u6587\u641c\u7d22","text":"<ol> <li>\u4e2d\u6587\u5206\u8bcd\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - search:\n      jieba_dict: dict.txt   # \u81ea\u5b9a\u4e49\u8bcd\u5178\u8def\u5f84\n      jieba_dict_user: user_dict.txt  # \u7528\u6237\u8bcd\u5178\u8def\u5f84\n\n      # \u4e2d\u6587\u5206\u8bcd\u89c4\u5219\n      separator: '[\uff0c\u3002\uff01\uff1f,!?]+'\n\n      # \u4e2d\u6587\u505c\u7528\u8bcd\n      stopwords:\n        - \u7684\n        - \u4e86\n        - \u548c\n        - \u662f\n        - \u5c31\n        - \u90fd\n        - \u800c\n        - \u53ca\n        - \u4e0e\n        - \u8fd9\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u8bcd\u5178\u793a\u4f8b\uff08dict.txt\uff09\uff1a</li> </ol> Text Only<pre><code>\u6280\u672f\u6587\u6863 5\n\u5f00\u53d1\u6307\u5357 5\n\u6700\u4f73\u5b9e\u8df5 5\n\u4f7f\u7528\u6559\u7a0b 5\n\u914d\u7f6e\u8bf4\u660e 5\n\u5e38\u89c1\u95ee\u9898 5\n</code></pre> <ol> <li>\u5206\u8bcd\u4f18\u5316\u811a\u672c\uff1a</li> </ol> Python<pre><code># docs/search_optimize.py\nimport jieba\nimport json\nfrom pathlib import Path\n\ndef optimize_search_index(index_file, dict_file):\n    # \u52a0\u8f7d\u81ea\u5b9a\u4e49\u8bcd\u5178\n    jieba.load_userdict(dict_file)\n\n    # \u8bfb\u53d6\u641c\u7d22\u7d22\u5f15\n    with open(index_file, 'r', encoding='utf-8') as f:\n        index = json.load(f)\n\n    # \u4f18\u5316\u5206\u8bcd\n    for doc in index['docs']:\n        # \u5206\u8bcd\u5904\u7406\u6807\u9898\n        title_words = list(jieba.cut(doc['title']))\n        doc['title'] = ' '.join(title_words)\n\n        # \u5206\u8bcd\u5904\u7406\u5185\u5bb9\n        if 'text' in doc:\n            text_words = list(jieba.cut(doc['text']))\n            doc['text'] = ' '.join(text_words)\n\n    # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u7d22\u5f15\n    with open(index_file, 'w', encoding='utf-8') as f:\n        json.dump(index, f, ensure_ascii=False, indent=2)\n\nif __name__ == '__main__':\n    index_file = 'site/search/search_index.json'\n    dict_file = 'docs/dict.txt'\n    optimize_search_index(index_file, dict_file)\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8114","title":"8.1.1.4 \u641c\u7d22\u4f18\u5316","text":"<ol> <li>\u7d22\u5f15\u4f18\u5316\uff1a</li> </ol> Python<pre><code># docs/search_index_optimizer.py\nfrom pathlib import Path\nimport json\nimport re\n\nclass SearchIndexOptimizer:\n    def __init__(self, index_path):\n        self.index_path = Path(index_path)\n        self.index = self.load_index()\n\n    def load_index(self):\n        with open(self.index_path, 'r', encoding='utf-8') as f:\n            return json.load(f)\n\n    def save_index(self):\n        with open(self.index_path, 'w', encoding='utf-8') as f:\n            json.dump(self.index, f, ensure_ascii=False, indent=2)\n\n    def optimize(self):\n        # \u6e05\u7406\u65e0\u7528\u6570\u636e\n        self._clean_data()\n        # \u4f18\u5316\u6587\u672c\n        self._optimize_text()\n        # \u6dfb\u52a0\u6743\u91cd\n        self._add_weights()\n        # \u6784\u5efa\u53cd\u5411\u7d22\u5f15\n        self._build_inverted_index()\n        # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u7d22\u5f15\n        self.save_index()\n\n    def _clean_data(self):\n        # \u79fb\u9664\u7a7a\u6587\u6863\n        self.index['docs'] = [\n            doc for doc in self.index['docs']\n            if doc.get('text') or doc.get('title')\n        ]\n\n        # \u79fb\u9664\u91cd\u590d\u6587\u6863\n        seen = set()\n        unique_docs = []\n        for doc in self.index['docs']:\n            key = f\"{doc['location']}:{doc['title']}\"\n            if key not in seen:\n                seen.add(key)\n                unique_docs.append(doc)\n        self.index['docs'] = unique_docs\n\n    def _optimize_text(self):\n        for doc in self.index['docs']:\n            # \u6e05\u7406HTML\u6807\u7b7e\n            if 'text' in doc:\n                doc['text'] = re.sub(r'&lt;[^&gt;]+&gt;', '', doc['text'])\n\n            # \u538b\u7f29\u7a7a\u767d\u5b57\u7b26\n            for field in ['title', 'text']:\n                if field in doc:\n                    doc[field] = ' '.join(doc[field].split())\n\n    def _add_weights(self):\n        for doc in self.index['docs']:\n            # \u57fa\u7840\u6743\u91cd\n            doc['weight'] = 1.0\n\n            # \u6807\u9898\u957f\u5ea6\u6743\u91cd\n            if 'title' in doc:\n                title_len = len(doc['title'])\n                doc['weight'] *= 1 + (1.0 / (1 + title_len))\n\n            # \u6587\u672c\u957f\u5ea6\u6743\u91cd\n            if 'text' in doc:\n                text_len = len(doc['text'])\n                doc['weight'] *= 1 + (100.0 / (1 + text_len))\n\n            # URL\u6df1\u5ea6\u6743\u91cd\n            depth = doc['location'].count('/')\n            doc['weight'] *= 1 + (1.0 / (1 + depth))\n\n    def _build_inverted_index(self):\n        # \u6784\u5efa\u53cd\u5411\u7d22\u5f15\n        inverted_index = {}\n        for i, doc in enumerate(self.index['docs']):\n            terms = set()\n\n            # \u6dfb\u52a0\u6807\u9898\u8bcd\n            if 'title' in doc:\n                terms.update(doc['title'].lower().split())\n\n            # \u6dfb\u52a0\u6587\u672c\u8bcd\n            if 'text' in doc:\n                terms.update(doc['text'].lower().split())\n\n            # \u66f4\u65b0\u53cd\u5411\u7d22\u5f15\n            for term in terms:\n                if term not in inverted_index:\n                    inverted_index[term] = []\n                inverted_index[term].append({\n                    'id': i,\n                    'weight': doc['weight']\n                })\n\n        self.index['inverted_index'] = inverted_index\n\n# \u4f7f\u7528\u4f18\u5316\u5668\noptimizer = SearchIndexOptimizer('site/search/search_index.json')\noptimizer.optimize()\n</code></pre> <ol> <li>\u641c\u7d22\u6027\u80fd\u76d1\u63a7\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/search-monitor.js\nclass SearchMonitor {\n    constructor() {\n        this.metrics = {\n            searches: 0,\n            avgTime: 0,\n            slowest: 0,\n            fastest: Infinity\n        };\n\n        this.init();\n    }\n\n    init() {\n        this.monitorSearchInput();\n        this.monitorSearchResults();\n        this.setupReporting();\n    }\n\n    monitorSearchInput() {\n        const searchInput = document.querySelector('.md-search__input');\n        let startTime;\n\n        searchInput?.addEventListener('input', () =&gt; {\n            startTime = performance.now();\n        });\n\n        searchInput?.addEventListener('search', () =&gt; {\n            const endTime = performance.now();\n            const duration = endTime - startTime;\n\n            this.updateMetrics(duration);\n        });\n    }\n\n    updateMetrics(duration) {\n        this.metrics.searches++;\n        this.metrics.avgTime = (\n            (this.metrics.avgTime * (this.metrics.searches - 1) + duration) /\n            this.metrics.searches\n        );\n        this.metrics.slowest = Math.max(this.metrics.slowest, duration);\n        this.metrics.fastest = Math.min(this.metrics.fastest, duration);\n\n        // \u53d1\u9001\u7edf\u8ba1\u6570\u636e\n        this.sendMetrics();\n    }\n\n    sendMetrics() {\n        // \u53ef\u4ee5\u53d1\u9001\u5230\u7edf\u8ba1\u670d\u52a1\n        console.log('Search Metrics:', this.metrics);\n    }\n}\n\n// \u521d\u59cb\u5316\u76d1\u63a7\nnew SearchMonitor();\n</code></pre>"},{"location":"Technology/mkdocs%20material/#812-glightbox","title":"8.1.2 glightbox","text":""},{"location":"Technology/mkdocs%20material/#8121","title":"8.1.2.1 \u56fe\u7247\u9884\u89c8","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-glightbox\n</code></pre> <ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - glightbox:\n      # \u57fa\u7840\u8bbe\u7f6e\n      auto_caption: true              # \u81ea\u52a8\u6dfb\u52a0\u6807\u9898\n      caption_position: bottom        # \u6807\u9898\u4f4d\u7f6e\n      display_description: true       # \u663e\u793a\u63cf\u8ff0\n\n      # \u89e6\u6478\u8bbe\u7f6e\n      touchNavigation: true          # \u89e6\u6478\u5bfc\u822a\n      loop: true                    # \u5faa\u73af\u6d4f\u89c8\n      effect: zoom                  # \u8fc7\u6e21\u6548\u679c\n\n      # \u56fe\u7247\u8bbe\u7f6e\n      width: 100%                   # \u56fe\u7247\u5bbd\u5ea6\n      height: auto                  # \u56fe\u7247\u9ad8\u5ea6\n      zoomable: true               # \u542f\u7528\u7f29\u653e\n      draggable: true              # \u542f\u7528\u62d6\u52a8\n</code></pre> <ol> <li>\u81ea\u5b9a\u4e49\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/glightbox.css */\n.glightbox-clean {\n    /* \u5bb9\u5668\u6837\u5f0f */\n    --glow-padding: 2rem;\n    --glow-bg: rgba(0, 0, 0, 0.95);\n\n    /* \u63a7\u5236\u6309\u94ae */\n    --glow-btn-color: rgba(255, 255, 255, 0.8);\n    --glow-btn-hover: #fff;\n\n    /* \u52a0\u8f7d\u52a8\u753b */\n    --glow-loading-bg: rgba(0, 0, 0, 0.5);\n    --glow-loading-width: 40px;\n    --glow-loading-height: 40px;\n}\n\n/* \u6807\u9898\u6837\u5f0f */\n.glightbox-caption {\n    font-family: var(--md-font-family);\n    font-size: 0.9rem;\n    padding: 1rem;\n    background: rgba(0, 0, 0, 0.8);\n}\n\n/* \u63cf\u8ff0\u6837\u5f0f */\n.glightbox-description {\n    font-size: 0.8rem;\n    color: rgba(255, 255, 255, 0.7);\n    margin-top: 0.5rem;\n}\n\n/* \u52a0\u8f7d\u52a8\u753b */\n.glightbox-loading {\n    border: 3px solid rgba(255, 255, 255, 0.2);\n    border-top-color: #fff;\n    border-radius: 50%;\n    animation: glow-spin 1s linear infinite;\n}\n\n@keyframes glow-spin {\n    to { transform: rotate(360deg); }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8122","title":"8.1.2.2 \u753b\u5eca\u6a21\u5f0f","text":"<ol> <li>\u753b\u5eca\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - glightbox:\n      # \u753b\u5eca\u8bbe\u7f6e\n      gallery: true                 # \u542f\u7528\u753b\u5eca\n      gallery_mode: true           # \u753b\u5eca\u6a21\u5f0f\n      gallery_trigger: click      # \u89e6\u53d1\u65b9\u5f0f\n\n      # \u7f29\u7565\u56fe\u8bbe\u7f6e\n      thumb_width: 150            # \u7f29\u7565\u56fe\u5bbd\u5ea6\n      thumb_height: 100           # \u7f29\u7565\u56fe\u9ad8\u5ea6\n      thumb_fit: cover            # \u7f29\u7565\u56fe\u9002\u5e94\u65b9\u5f0f\n</code></pre> <ol> <li>\u753b\u5eca\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/gallery.html --&gt;\n&lt;div class=\"gallery\"&gt;\n    {% for image in page.meta.gallery %}\n    &lt;a href=\"{{ image.url }}\" \n       class=\"gallery-item\"\n       data-gallery=\"gallery\"\n       data-glightbox=\"title: {{ image.title }}; description: {{ image.description }}\"&gt;\n        &lt;img src=\"{{ image.thumbnail or image.url }}\" \n             alt=\"{{ image.title }}\"\n             loading=\"lazy\"&gt;\n        {% if image.title %}\n        &lt;div class=\"gallery-caption\"&gt;{{ image.title }}&lt;/div&gt;\n        {% endif %}\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n</code></pre> <ol> <li>\u753b\u5eca\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/gallery.css */\n.gallery {\n    display: grid;\n    grid-template-columns: repeat(auto-fill, minmax(150px, 1fr));\n    gap: 1rem;\n    padding: 1rem;\n}\n\n.gallery-item {\n    position: relative;\n    overflow: hidden;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: transform 0.3s ease;\n}\n\n.gallery-item:hover {\n    transform: translateY(-4px);\n}\n\n.gallery-item img {\n    width: 100%;\n    height: 100%;\n    object-fit: cover;\n    transition: transform 0.3s ease;\n}\n\n.gallery-item:hover img {\n    transform: scale(1.1);\n}\n\n.gallery-caption {\n    position: absolute;\n    bottom: 0;\n    left: 0;\n    right: 0;\n    padding: 0.5rem;\n    background: rgba(0, 0, 0, 0.7);\n    color: white;\n    font-size: 0.8rem;\n    transform: translateY(100%);\n    transition: transform 0.3s ease;\n}\n\n.gallery-item:hover .gallery-caption {\n    transform: translateY(0);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#82","title":"8.2 \u63a8\u8350\u63d2\u4ef6","text":""},{"location":"Technology/mkdocs%20material/#8211-git-revision-date","title":"8.2.1.1 git-revision-date","text":""},{"location":"Technology/mkdocs%20material/#8212","title":"8.2.1.2 \u65f6\u95f4\u663e\u793a","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-git-revision-date-localized-plugin\n</code></pre> <ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - git-revision-date-localized:\n      enabled: true\n      type: date           # \u663e\u793a\u7c7b\u578b\uff1adate, datetime, iso_date, iso_datetime, timeago\n      timezone: Asia/Shanghai  # \u65f6\u533a\u8bbe\u7f6e\n      locale: zh          # \u672c\u5730\u5316\u8bed\u8a00\n      fallback_to_build_date: true  # \u65e0 git \u4fe1\u606f\u65f6\u4f7f\u7528\u6784\u5efa\u65f6\u95f4\n\n      # \u65f6\u95f4\u683c\u5f0f\n      enable_creation_date: true    # \u663e\u793a\u521b\u5efa\u65f6\u95f4\n      exclude:\n        - index.md\n        - 404.md\n</code></pre> <ol> <li>\u65f6\u95f4\u663e\u793a\u6a21\u677f\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/date.html --&gt;\n{% if page.meta.git_revision_date_localized %}\n&lt;div class=\"page-date\"&gt;\n    &lt;!-- \u6700\u540e\u66f4\u65b0\u65f6\u95f4 --&gt;\n    &lt;div class=\"date-item\"&gt;\n        &lt;span class=\"date-icon\"&gt;\n            {% include \".icons/material/update.svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"date-text\"&gt;\n            \u6700\u540e\u66f4\u65b0: {{ page.meta.git_revision_date_localized }}\n        &lt;/span&gt;\n    &lt;/div&gt;\n\n    &lt;!-- \u521b\u5efa\u65f6\u95f4 --&gt;\n    {% if page.meta.git_creation_date_localized %}\n    &lt;div class=\"date-item\"&gt;\n        &lt;span class=\"date-icon\"&gt;\n            {% include \".icons/material/clock-outline.svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"date-text\"&gt;\n            \u521b\u5efa\u65f6\u95f4: {{ page.meta.git_creation_date_localized }}\n        &lt;/span&gt;\n    &lt;/div&gt;\n    {% endif %}\n&lt;/div&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8213","title":"8.2.1.3 \u66f4\u65b0\u8bb0\u5f55","text":"<ol> <li>\u66f4\u65b0\u8bb0\u5f55\u663e\u793a\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/revision.html --&gt;\n{% if page.meta.git_revision_date_localized %}\n&lt;div class=\"revision-history\"&gt;\n    &lt;h3&gt;\u66f4\u65b0\u8bb0\u5f55&lt;/h3&gt;\n    &lt;div class=\"revision-list\"&gt;\n        {% for revision in page.meta.git_history %}\n        &lt;div class=\"revision-item\"&gt;\n            &lt;div class=\"revision-date\"&gt;\n                {{ revision.date }}\n            &lt;/div&gt;\n            &lt;div class=\"revision-message\"&gt;\n                {{ revision.message }}\n            &lt;/div&gt;\n        &lt;/div&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/div&gt;\n</code></pre> <ol> <li>\u6837\u5f0f\u914d\u7f6e\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/revision.css */\n.revision-history {\n    margin: 2rem 0;\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 4px;\n}\n\n.revision-item {\n    display: flex;\n    padding: 0.5rem 0;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.revision-date {\n    flex: 0 0 200px;\n    color: var(--md-default-fg-color--light);\n}\n\n.revision-message {\n    flex: 1;\n}\n\n/* \u65f6\u95f4\u7ebf\u6837\u5f0f */\n.revision-item {\n    position: relative;\n    padding-left: 2rem;\n}\n\n.revision-item::before {\n    content: '';\n    position: absolute;\n    left: 0;\n    top: 1rem;\n    width: 12px;\n    height: 12px;\n    background: var(--md-accent-fg-color);\n    border-radius: 50%;\n}\n\n.revision-item::after {\n    content: '';\n    position: absolute;\n    left: 5px;\n    top: 1.5rem;\n    bottom: -0.5rem;\n    width: 2px;\n    background: var(--md-default-fg-color--lightest);\n}\n\n.revision-item:last-child::after {\n    display: none;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8214","title":"8.2.1.4 \u4f5c\u8005\u4fe1\u606f","text":"<ol> <li>\u4f5c\u8005\u4fe1\u606f\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - git-revision-date-localized:\n      enabled: true\n      type: date\n      enable_authors: true     # \u542f\u7528\u4f5c\u8005\u4fe1\u606f\n      authors_file: authors.yaml   # \u4f5c\u8005\u914d\u7f6e\u6587\u4ef6\n</code></pre> <ol> <li>\u4f5c\u8005\u914d\u7f6e\u6587\u4ef6 (authors. yaml)\uff1a</li> </ol> YAML<pre><code>authors:\n  john:\n    name: John Doe\n    email: john@example.com\n    avatar: assets/authors/john.jpg\n    bio: \u8d44\u6df1\u6280\u672f\u4f5c\u8005\n    social:\n      github: johndoe\n      twitter: johndoe\n\n  jane:\n    name: Jane Smith\n    email: jane@example.com\n    avatar: assets/authors/jane.jpg\n    bio: \u524d\u7aef\u5f00\u53d1\u4e13\u5bb6\n    social:\n      github: janesmith\n      linkedin: janesmith\n</code></pre> <ol> <li>\u4f5c\u8005\u4fe1\u606f\u663e\u793a\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/author.html --&gt;\n{% if page.meta.git_authors %}\n&lt;div class=\"page-authors\"&gt;\n    {% for author in page.meta.git_authors %}\n    &lt;div class=\"author-card\"&gt;\n        &lt;!-- \u4f5c\u8005\u5934\u50cf --&gt;\n        &lt;div class=\"author-avatar\"&gt;\n            {% if author.avatar %}\n            &lt;img src=\"{{ author.avatar }}\" alt=\"{{ author.name }}\"&gt;\n            {% else %}\n            &lt;div class=\"avatar-placeholder\"&gt;\n                {{ author.name[0] }}\n            &lt;/div&gt;\n            {% endif %}\n        &lt;/div&gt;\n\n        &lt;!-- \u4f5c\u8005\u4fe1\u606f --&gt;\n        &lt;div class=\"author-info\"&gt;\n            &lt;h4 class=\"author-name\"&gt;{{ author.name }}&lt;/h4&gt;\n            {% if author.bio %}\n            &lt;p class=\"author-bio\"&gt;{{ author.bio }}&lt;/p&gt;\n            {% endif %}\n\n            &lt;!-- \u793e\u4ea4\u94fe\u63a5 --&gt;\n            {% if author.social %}\n            &lt;div class=\"author-social\"&gt;\n                {% for platform, username in author.social.items() %}\n                &lt;a href=\"https://{{ platform }}.com/{{ username }}\" \n                   target=\"_blank\"\n                   class=\"social-link\"&gt;\n                    {% include \".icons/material/\" ~ platform ~ \".svg\" %}\n                &lt;/a&gt;\n                {% endfor %}\n            &lt;/div&gt;\n            {% endif %}\n        &lt;/div&gt;\n    &lt;/div&gt;\n    {% endfor %}\n&lt;/div&gt;\n</code></pre> <ol> <li>\u4f5c\u8005\u4fe1\u606f\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/author.css */\n.page-authors {\n    margin: 2rem 0;\n    display: grid;\n    grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n    gap: 1rem;\n}\n\n.author-card {\n    display: flex;\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n}\n\n.author-card:hover {\n    transform: translateY(-2px);\n}\n\n.author-avatar {\n    flex: 0 0 80px;\n    margin-right: 1rem;\n}\n\n.author-avatar img {\n    width: 80px;\n    height: 80px;\n    border-radius: 50%;\n    object-fit: cover;\n}\n\n.avatar-placeholder {\n    width: 80px;\n    height: 80px;\n    border-radius: 50%;\n    background: var(--md-accent-fg-color);\n    color: white;\n    display: flex;\n    align-items: center;\n    justify-content: center;\n    font-size: 2rem;\n}\n\n.author-info {\n    flex: 1;\n}\n\n.author-name {\n    margin: 0 0 0.5rem;\n    font-size: 1.1rem;\n}\n\n.author-bio {\n    color: var(--md-default-fg-color--light);\n    font-size: 0.9rem;\n    margin: 0 0 0.5rem;\n}\n\n.author-social {\n    display: flex;\n    gap: 0.5rem;\n}\n\n.social-link {\n    color: var(--md-default-fg-color--light);\n    transition: color 0.2s ease;\n}\n\n.social-link:hover {\n    color: var(--md-accent-fg-color);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#822-minify","title":"8.2.2 minify","text":""},{"location":"Technology/mkdocs%20material/#8221-html","title":"8.2.2.1 HTML \u538b\u7f29","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-minify-plugin\n</code></pre> <ol> <li>\u914d\u7f6e\u538b\u7f29\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - minify:\n      minify_html: true\n      htmlmin_opts:\n          # HTML\u538b\u7f29\u9009\u9879\n          remove_comments: true  # \u79fb\u9664\u6ce8\u91ca\n          remove_empty_space: true  # \u79fb\u9664\u7a7a\u767d\n          remove_all_empty_space: true  # \u79fb\u9664\u6240\u6709\u7a7a\u767d\n          reduce_boolean_attributes: true  # \u7b80\u5316\u5e03\u5c14\u5c5e\u6027\n          remove_optional_tags: false  # \u4fdd\u7559\u53ef\u9009\u6807\u7b7e\n          remove_redundant_attributes: true  # \u79fb\u9664\u5197\u4f59\u5c5e\u6027\n          minify_js: true  # \u538b\u7f29\u5185\u8054JS\n          minify_css: true  # \u538b\u7f29\u5185\u8054CSS\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8222-css","title":"8.2.2.2 CSS \u538b\u7f29","text":"<ol> <li>CSS \u538b\u7f29\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - minify:\n      minify_css: true\n      css_files:\n          - stylesheets/extra.css\n          - stylesheets/custom.css\n      cssmin_opts:\n          # CSS\u538b\u7f29\u9009\u9879\n          level: 2  # \u538b\u7f29\u7ea7\u522b(1-2)\n          compatibility: ie9  # \u517c\u5bb9\u6027\n          format: beautify  # \u683c\u5f0f\u5316\u8f93\u51fa\n</code></pre> <ol> <li>CSS \u4f18\u5316\u811a\u672c\uff1a</li> </ol> Python<pre><code># docs/tools/css_optimizer.py\nimport re\nfrom pathlib import Path\nfrom csscompressor import compress\n\nclass CSSOptimizer:\n    def __init__(self, input_dir, output_dir):\n        self.input_dir = Path(input_dir)\n        self.output_dir = Path(output_dir)\n        self.output_dir.mkdir(exist_ok=True)\n\n    def optimize(self):\n        \"\"\"\u4f18\u5316\u6240\u6709CSS\u6587\u4ef6\"\"\"\n        for css_file in self.input_dir.glob('**/*.css'):\n            # \u8bfb\u53d6CSS\u5185\u5bb9\n            content = css_file.read_text(encoding='utf-8')\n\n            # \u4f18\u5316CSS\n            optimized = self.optimize_css(content)\n\n            # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u6587\u4ef6\n            output_file = self.output_dir / css_file.name\n            output_file.write_text(optimized, encoding='utf-8')\n\n    def optimize_css(self, content):\n        \"\"\"\u4f18\u5316\u5355\u4e2aCSS\u6587\u4ef6\u5185\u5bb9\"\"\"\n        # \u79fb\u9664\u6ce8\u91ca\n        content = re.sub(r'/\\*[\\s\\S]*?\\*/', '', content)\n\n        # \u79fb\u9664\u591a\u4f59\u7a7a\u767d\n        content = re.sub(r'\\s+', ' ', content)\n\n        # \u538b\u7f29CSS\n        content = compress(content)\n\n        return content\n\n# \u4f7f\u7528\u4f18\u5316\u5668\noptimizer = CSSOptimizer(\n    input_dir='docs/stylesheets',\n    output_dir='docs/stylesheets/min'\n)\noptimizer.optimize()\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8223-js","title":"8.2.2.3 JS \u538b\u7f29","text":"<ol> <li>JS \u538b\u7f29\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - minify:\n      minify_js: true\n      js_files:\n          - javascripts/extra.js\n          - javascripts/custom.js\n      jsmin_opts:\n          # JS\u538b\u7f29\u9009\u9879\n          mangle: true  # \u6df7\u6dc6\u53d8\u91cf\u540d\n          compress: true  # \u538b\u7f29\u4ee3\u7801\n          output:\n              beautify: false  # \u4e0d\u7f8e\u5316\u8f93\u51fa\n</code></pre> <ol> <li>JS \u4f18\u5316\u811a\u672c\uff1a</li> </ol> Python<pre><code># docs/tools/js_optimizer.py\nimport re\nfrom pathlib import Path\nimport terser\n\nclass JSOptimizer:\n    def __init__(self, input_dir, output_dir):\n        self.input_dir = Path(input_dir)\n        self.output_dir = Path(output_dir)\n        self.output_dir.mkdir(exist_ok=True)\n\n    def optimize(self):\n        \"\"\"\u4f18\u5316\u6240\u6709JS\u6587\u4ef6\"\"\"\n        for js_file in self.input_dir.glob('**/*.js'):\n            # \u8bfb\u53d6JS\u5185\u5bb9\n            content = js_file.read_text(encoding='utf-8')\n\n            # \u4f18\u5316JS\n            optimized = self.optimize_js(content)\n\n            # \u4fdd\u5b58\u4f18\u5316\u540e\u7684\u6587\u4ef6\n            output_file = self.output_dir / js_file.name\n            output_file.write_text(optimized, encoding='utf-8')\n\n    def optimize_js(self, content):\n        \"\"\"\u4f18\u5316\u5355\u4e2aJS\u6587\u4ef6\u5185\u5bb9\"\"\"\n        options = {\n            'compress': {\n                'pure_funcs': ['console.log'],  # \u79fb\u9664console.log\n                'drop_debugger': True,          # \u79fb\u9664debugger\n                'unsafe': True,                 # \u542f\u7528\u4e0d\u5b89\u5168\u4f18\u5316\n                'passes': 2                     # \u4f18\u5316\u6b21\u6570\n            },\n            'mangle': {\n                'toplevel': True,              # \u6df7\u6dc6\u9876\u7ea7\u4f5c\u7528\u57df\n                'eval': True                   # \u6df7\u6dc6eval\u4e2d\u7684\u53d8\u91cf\n            }\n        }\n\n        # \u4f7f\u7528terser\u538b\u7f29\n        result = terser.minify(content, options)\n        return result['code']\n\n# \u4f7f\u7528\u4f18\u5316\u5668\noptimizer = JSOptimizer(\n    input_dir='docs/javascripts',\n    output_dir='docs/javascripts/min'\n)\noptimizer.optimize()\n</code></pre> <p>\u8fd9\u4e9b\u914d\u7f6e\u548c\u811a\u672c\u53ef\u4ee5\u6709\u6548\u51cf\u5c0f\u7ad9\u70b9\u8d44\u6e90\u5927\u5c0f\uff0c\u63d0\u5347\u52a0\u8f7d\u901f\u5ea6\u3002\u8bb0\u5f97\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u4f7f\u7528\u538b\u7f29\u540e\u7684\u8d44\u6e90\u3002</p>"},{"location":"Technology/mkdocs%20material/#823-social","title":"8.2.3 social","text":""},{"location":"Technology/mkdocs%20material/#8231","title":"8.2.3.1 \u793e\u4ea4\u94fe\u63a5","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-social-plugin\n</code></pre> <ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - social:\n      enabled: true\n      # \u793e\u4ea4\u5e73\u53f0\u914d\u7f6e\n      cards: true           # \u542f\u7528\u793e\u4ea4\u5361\u7247\n      cards_color:          # \u5361\u7247\u989c\u8272\n          fill: \"#0FF1CE\"   # \u80cc\u666f\u8272\n          text: \"#FFFFFF\"   # \u6587\u5b57\u8272\n      cards_font: Roboto    # \u5361\u7247\u5b57\u4f53\n\nextra:\n  social:\n    - icon: material/github\n      link: https://github.com/username\n      name: GitHub\n    - icon: material/twitter\n      link: https://twitter.com/username\n      name: Twitter\n    - icon: material/linkedin\n      link: https://linkedin.com/in/username\n      name: LinkedIn\n</code></pre> <ol> <li>\u793e\u4ea4\u94fe\u63a5\u6a21\u677f\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/social.html --&gt;\n{% if config.extra.social %}\n&lt;div class=\"social-links\"&gt;\n    {% for social in config.extra.social %}\n    &lt;a href=\"{{ social.link }}\" \n       target=\"_blank\"\n       rel=\"noopener\"\n       title=\"{{ social.name }}\"\n       class=\"social-link\"&gt;\n        &lt;span class=\"social-icon\"&gt;\n            {% include \".icons/\" ~ social.icon ~ \".svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"social-name\"&gt;{{ social.name }}&lt;/span&gt;\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n{% endif %}\n</code></pre> <p>\u6837\u5f0f\u914d\u7f6e\uff1a</p> CSS<pre><code>/* docs/stylesheets/social.css */\n.social-links {\n    display: flex;\n    gap: 1rem;\n    margin: 2rem 0;\n}\n\n.social-link {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    transition: all 0.2s ease;\n}\n\n.social-link:hover {\n    transform: translateY(-2px);\n    color: var(--md-accent-fg-color);\n    background: var(--md-code-bg-color--light);\n}\n\n.social-icon {\n    margin-right: 0.5rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n\n.social-name {\n    font-size: 0.9rem;\n}\n\n/* \u52a8\u753b\u6548\u679c */\n.social-link .social-icon {\n    transition: transform 0.2s ease;\n}\n\n.social-link:hover .social-icon {\n    transform: scale(1.2);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8232","title":"8.2.3.2 \u5206\u4eab\u529f\u80fd","text":"<ol> <li>\u5206\u4eab\u529f\u80fd\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra:\n  social_share:\n    - platform: twitter\n      text: \u5206\u4eab\u5230 Twitter\n      icon: material/twitter\n    - platform: facebook\n      text: \u5206\u4eab\u5230 Facebook\n      icon: material/facebook\n    - platform: linkedin\n      text: \u5206\u4eab\u5230 LinkedIn\n      icon: material/linkedin\n    - platform: weibo\n      text: \u5206\u4eab\u5230\u5fae\u535a\n      icon: material/sina-weibo\n</code></pre> <ol> <li>\u5206\u4eab\u529f\u80fd\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/share.html --&gt;\n&lt;div class=\"page-share\"&gt;\n    &lt;h4&gt;\u5206\u4eab\u6587\u7ae0&lt;/h4&gt;\n    &lt;div class=\"share-buttons\"&gt;\n        {% for share in config.extra.social_share %}\n        &lt;button class=\"share-button\" \n                data-platform=\"{{ share.platform }}\"\n                onclick=\"shareContent('{{ share.platform }}')\"&gt;\n            &lt;span class=\"share-icon\"&gt;\n                {% include \".icons/\" ~ share.icon ~ \".svg\" %}\n            &lt;/span&gt;\n            &lt;span class=\"share-text\"&gt;{{ share.text }}&lt;/span&gt;\n        &lt;/button&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;script&gt;\nfunction shareContent(platform) {\n    const url = encodeURIComponent(window.location.href);\n    const title = encodeURIComponent(document.title);\n    const text = encodeURIComponent(document.querySelector('meta[name=\"description\"]')?.content || '');\n\n    let shareUrl;\n    switch(platform) {\n        case 'twitter':\n            shareUrl = `https://twitter.com/intent/tweet?url=${url}&amp;text=${title}`;\n            break;\n        case 'facebook':\n            shareUrl = `https://www.facebook.com/sharer/sharer.php?u=${url}`;\n            break;\n        case 'linkedin':\n            shareUrl = `https://www.linkedin.com/sharing/share-offsite/?url=${url}`;\n            break;\n        case 'weibo':\n            shareUrl = `http://service.weibo.com/share/share.php?url=${url}&amp;title=${title}`;\n            break;\n    }\n\n    window.open(shareUrl, '_blank', 'width=600,height=400');\n}\n&lt;/script&gt;\n</code></pre> <ol> <li>\u5206\u4eab\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/share.css */\n.page-share {\n    margin: 2rem 0;\n    padding: 1rem;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n}\n\n.share-buttons {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0.5rem;\n    margin-top: 1rem;\n}\n\n.share-button {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    border: none;\n    border-radius: 2rem;\n    background: var(--md-default-bg-color);\n    color: var(--md-default-fg-color);\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.share-button:hover {\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n\n.share-icon {\n    margin-right: 0.5rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8233","title":"8.2.3.3 \u5173\u6ce8\u6309\u94ae","text":"<ol> <li>\u5173\u6ce8\u6309\u94ae\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  follow_buttons:\n    - platform: github\n      username: your-username\n      icon: material/github\n      text: \u5173\u6ce8\u6211\u7684 GitHub\n    - platform: twitter\n      username: your-username\n      icon: material/twitter\n      text: \u5173\u6ce8\u6211\u7684 Twitter\n</code></pre> <ol> <li>\u5173\u6ce8\u6309\u94ae\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/follow.html --&gt;\n&lt;div class=\"follow-buttons\"&gt;\n    {% for btn in config.extra.follow_buttons %}\n    &lt;a href=\"https://{{ btn.platform }}.com/{{ btn.username }}\"\n       target=\"_blank\"\n       class=\"follow-button\"\n       data-platform=\"{{ btn.platform }}\"&gt;\n        &lt;span class=\"follow-icon\"&gt;\n            {% include \".icons/\" ~ btn.icon ~ \".svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"follow-text\"&gt;{{ btn.text }}&lt;/span&gt;\n        &lt;span class=\"follow-count\" id=\"{{ btn.platform }}-count\"&gt;\n            &lt;!-- \u5c06\u901a\u8fc7API\u52a8\u6001\u66f4\u65b0 --&gt;\n        &lt;/span&gt;\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n\n&lt;script&gt;\nasync function updateFollowCounts() {\n    const buttons = document.querySelectorAll('.follow-button');\n\n    for (const button of buttons) {\n        const platform = button.dataset.platform;\n        const username = button.href.split('/').pop();\n\n        // \u83b7\u53d6\u5173\u6ce8\u6570\n        const count = await getFollowCount(platform, username);\n\n        // \u66f4\u65b0\u663e\u793a\n        const countElement = button.querySelector('.follow-count');\n        if (countElement &amp;&amp; count) {\n            countElement.textContent = formatCount(count);\n        }\n    }\n}\n\nasync function getFollowCount(platform, username) {\n    switch (platform) {\n        case 'github':\n            const response = await fetch(`https://api.github.com/users/${username}`);\n            const data = await response.json();\n            return data.followers;\n\n        // \u5176\u4ed6\u5e73\u53f0API\u5b9e\u73b0...\n        default:\n            return null;\n    }\n}\n\nfunction formatCount(count) {\n    if (count &gt;= 1000000) {\n        return (count / 1000000).toFixed(1) + 'M';\n    }\n    if (count &gt;= 1000) {\n        return (count / 1000).toFixed(1) + 'K';\n    }\n    return count.toString();\n}\n\n// \u521d\u59cb\u5316\nupdateFollowCounts();\n&lt;/script&gt;\n</code></pre> <ol> <li>\u5173\u6ce8\u6309\u94ae\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/follow.css */\n.follow-buttons {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 1rem;\n    margin: 2rem 0;\n}\n\n.follow-button {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    text-decoration: none;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    transition: all 0.2s ease;\n}\n\n.follow-button:hover {\n    transform: translateY(-2px);\n}\n\n/* \u5e73\u53f0\u7279\u5b9a\u6837\u5f0f */\n.follow-button[data-platform=\"github\"] {\n    color: #333;\n}\n\n.follow-button[data-platform=\"github\"]:hover {\n    background: #333;\n    color: white;\n}\n\n.follow-button[data-platform=\"twitter\"] {\n    color: #1DA1F2;\n}\n\n.follow-button[data-platform=\"twitter\"]:hover {\n    background: #1DA1F2;\n    color: white;\n}\n\n.follow-icon {\n    margin-right: 0.5rem;\n    width: 1.2rem;\n    height: 1.2rem;\n}\n\n.follow-count {\n    margin-left: 0.5rem;\n    padding: 0.2rem 0.5rem;\n    background: rgba(0, 0, 0, 0.1);\n    border-radius: 1rem;\n    font-size: 0.8rem;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#824-tags","title":"8.2.4 tags","text":""},{"location":"Technology/mkdocs%20material/#8241","title":"8.2.4.1 \u6807\u7b7e\u7cfb\u7edf","text":"<ol> <li>\u5b89\u88c5\u63d2\u4ef6\uff1a</li> </ol> Bash<pre><code>pip install mkdocs-tags-plugin\n</code></pre> <ol> <li>\u914d\u7f6e\u6807\u7b7e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nplugins:\n  - tags:\n      tags_file: tags.md\n      tags_allowed:  # \u5141\u8bb8\u7684\u6807\u7b7e\u5217\u8868\n        - Python\n        - JavaScript\n        - CSS\n        - HTML\n      tags_extra_files:\n        cloud: tag_cloud.md    # \u6807\u7b7e\u4e91\u9875\u9762\n        list: tag_list.md      # \u6807\u7b7e\u5217\u8868\u9875\u9762\n</code></pre> <ol> <li>\u5728\u6587\u6863\u4e2d\u4f7f\u7528\u6807\u7b7e\uff1a</li> </ol> Markdown<pre><code>---\ntags:\n  - Python\n  - \u6559\u7a0b\n---\n\n# Python \u5165\u95e8\u6559\u7a0b\n</code></pre> <ol> <li>\u6807\u7b7e\u663e\u793a\u7ec4\u4ef6\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/tags.html --&gt;\n{% if page.meta.tags %}\n&lt;div class=\"page-tags\"&gt;\n    {% for tag in page.meta.tags %}\n    &lt;a href=\"{{ base_url }}/tags/#{{ tag|lower }}\" class=\"tag\"&gt;\n        &lt;span class=\"tag-icon\"&gt;\n            {% include \".icons/material/tag.svg\" %}\n        &lt;/span&gt;\n        &lt;span class=\"tag-text\"&gt;{{ tag }}&lt;/span&gt;\n    &lt;/a&gt;\n    {% endfor %}\n&lt;/div&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8242","title":"8.2.4.2 \u6807\u7b7e\u4e91","text":"<ol> <li>\u6807\u7b7e\u4e91\u5b9e\u73b0\uff1a</li> </ol> Python<pre><code># docs/plugins/tags/cloud.py\nfrom collections import Counter\nimport math\n\nclass TagCloud:\n    def __init__(self, tags):\n        self.tags = Counter(tags)\n        self.min_size = 0.8\n        self.max_size = 2.0\n\n    def get_tag_sizes(self):\n        \"\"\"\u8ba1\u7b97\u6807\u7b7e\u5927\u5c0f\"\"\"\n        if not self.tags:\n            return {}\n\n        # \u83b7\u53d6\u6700\u5927\u548c\u6700\u5c0f\u9891\u7387\n        max_freq = max(self.tags.values())\n        min_freq = min(self.tags.values())\n\n        # \u8ba1\u7b97\u6bcf\u4e2a\u6807\u7b7e\u7684\u5927\u5c0f\n        sizes = {}\n        for tag, freq in self.tags.items():\n            if max_freq == min_freq:\n                sizes[tag] = (self.max_size + self.min_size) / 2\n            else:\n                size = self.min_size + (self.max_size - self.min_size) * \\\n                       ((freq - min_freq) / (max_freq - min_freq))\n                sizes[tag] = round(size, 2)\n\n        return sizes\n\ndef generate_tag_cloud(tags):\n    \"\"\"\u751f\u6210\u6807\u7b7e\u4e91HTML\"\"\"\n    cloud = TagCloud(tags)\n    sizes = cloud.get_tag_sizes()\n\n    html = ['&lt;div class=\"tag-cloud\"&gt;']\n\n    for tag, size in sizes.items():\n        html.append(f'''\n            &lt;a href=\"#tag-{tag.lower()}\" \n               class=\"tag-cloud-item\"\n               style=\"font-size: {size}rem\"&gt;\n                {tag}\n            &lt;/a&gt;\n        ''')\n\n    html.append('&lt;/div&gt;')\n    return '\\n'.join(html)\n</code></pre> <ol> <li>\u6807\u7b7e\u4e91\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/tags.css */\n.tag-cloud {\n    display: flex;\n    flex-wrap: wrap;\n    justify-content: center;\n    gap: 1rem;\n    padding: 2rem;\n}\n\n.tag-cloud-item {\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    padding: 0.5rem 1rem;\n    border-radius: 2rem;\n    background: var(--md-code-bg-color);\n    transition: all 0.2s ease;\n}\n\n.tag-cloud-item:hover {\n    transform: scale(1.1);\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#8243","title":"8.2.4.3 \u6807\u7b7e\u9875\u9762","text":"<ol> <li>\u6807\u7b7e\u5217\u8868\u9875\u9762\uff1a</li> </ol> Markdown<pre><code># \u6807\u7b7e\u7d22\u5f15\n\n## \u6807\u7b7e\u4e91\n[TAGS_CLOUD]\n\n## \u6807\u7b7e\u5217\u8868\n[TAGS_LIST]\n</code></pre> <ol> <li>\u6807\u7b7e\u9875\u9762\u751f\u6210\u5668\uff1a</li> </ol> Python<pre><code># docs/plugins/tags/generator.py\nfrom pathlib import Path\nimport yaml\n\nclass TagPageGenerator:\n    def __init__(self, config):\n        self.config = config\n        self.tags = {}\n\n    def collect_tags(self):\n        \"\"\"\u6536\u96c6\u6240\u6709\u6807\u7b7e\"\"\"\n        docs_dir = Path(self.config['docs_dir'])\n\n        for md_file in docs_dir.glob('**/*.md'):\n            # \u8bfb\u53d6\u6587\u4ef6frontmatter\n            content = md_file.read_text(encoding='utf-8')\n            if content.startswith('---'):\n                try:\n                    # \u89e3\u6790frontmatter\n                    _, frontmatter, _ = content.split('---', 2)\n                    meta = yaml.safe_load(frontmatter)\n\n                    if 'tags' in meta:\n                        # \u83b7\u53d6\u76f8\u5bf9\u8def\u5f84\n                        rel_path = md_file.relative_to(docs_dir)\n                        url = str(rel_path).replace('\\\\', '/')[:-3]  # \u79fb\u9664.md\n\n                        # \u6dfb\u52a0\u5230\u6807\u7b7e\u7d22\u5f15\n                        for tag in meta['tags']:\n                            if tag not in self.tags:\n                                self.tags[tag] = []\n                            self.tags[tag].append({\n                                'title': meta.get('title', url),\n                                'url': url,\n                                'description': meta.get('description', '')\n                            })\n                except:\n                    continue\n\n    def generate_tag_pages(self):\n        \"\"\"\u751f\u6210\u6807\u7b7e\u76f8\u5173\u9875\u9762\"\"\"\n        self.collect_tags()\n\n        # \u751f\u6210\u6807\u7b7e\u5217\u8868\u9875\u9762\n        if 'list' in self.config['tags_extra_files']:\n            self.generate_list_page()\n\n        # \u751f\u6210\u6bcf\u4e2a\u6807\u7b7e\u7684\u8be6\u60c5\u9875\u9762\n        self.generate_tag_detail_pages()\n\n    def generate_list_page(self):\n        \"\"\"\u751f\u6210\u6807\u7b7e\u5217\u8868\u9875\u9762\"\"\"\n        template = \"\"\"\n# \u6807\u7b7e\u5217\u8868\n\n{% for tag, posts in tags.items() %}\n## {{ tag }}\n\n{% for post in posts %}\n- [{{ post.title }}]({{ post.url }}){% if post.description %} - {{ post.description }}{% endif %}\n{% endfor %}\n\n{% endfor %}\n\"\"\"\n        # \u4f7f\u7528 Jinja2 \u6e32\u67d3\u6a21\u677f\n        from jinja2 import Template\n        content = Template(template).render(tags=self.tags)\n\n        # \u4fdd\u5b58\u9875\u9762\n        output_file = Path(self.config['docs_dir']) / 'tags' / 'list.md'\n        output_file.parent.mkdir(exist_ok=True)\n        output_file.write_text(content, encoding='utf-8')\n\n    def generate_tag_detail_pages(self):\n        \"\"\"\u751f\u6210\u6bcf\u4e2a\u6807\u7b7e\u7684\u8be6\u60c5\u9875\u9762\"\"\"\n        template = \"\"\"\n# \u6807\u7b7e: {{ tag }}\n\n## \u76f8\u5173\u6587\u7ae0\n\n{% for post in posts %}\n### [{{ post.title }}]({{ post.url }})\n{% if post.description %}\n{{ post.description }}\n{% endif %}\n{% endfor %}\n\n## \u76f8\u5173\u6807\u7b7e\n{% for related_tag in related_tags %}\n- [{{ related_tag }}](../{{ related_tag | lower }})\n{% endfor %}\n\"\"\"\n        # \u6807\u7b7e\u76ee\u5f55\n        tags_dir = Path(self.config['docs_dir']) / 'tags'\n        tags_dir.mkdir(exist_ok=True)\n\n        # \u4e3a\u6bcf\u4e2a\u6807\u7b7e\u751f\u6210\u9875\u9762\n        for tag, posts in self.tags.items():\n            # \u67e5\u627e\u76f8\u5173\u6807\u7b7e\n            related_tags = self.find_related_tags(tag)\n\n            # \u6e32\u67d3\u5185\u5bb9\n            content = Template(template).render(\n                tag=tag,\n                posts=posts,\n                related_tags=related_tags\n            )\n\n            # \u4fdd\u5b58\u9875\u9762\n            output_file = tags_dir / f\"{tag.lower()}.md\"\n            output_file.write_text(content, encoding='utf-8')\n\n    def find_related_tags(self, current_tag):\n        \"\"\"\u67e5\u627e\u76f8\u5173\u6807\u7b7e\"\"\"\n        related = set()\n\n        # \u83b7\u53d6\u5f53\u524d\u6807\u7b7e\u7684\u6240\u6709\u6587\u7ae0\n        current_posts = self.tags[current_tag]\n\n        # \u904d\u5386\u6240\u6709\u5176\u4ed6\u6807\u7b7e\n        for tag, posts in self.tags.items():\n            if tag == current_tag:\n                continue\n\n            # \u8ba1\u7b97\u6587\u7ae0\u4ea4\u96c6\n            intersection = set(p['url'] for p in posts) &amp; \\\n                          set(p['url'] for p in current_posts)\n\n            # \u5982\u679c\u6709\u5171\u540c\u6587\u7ae0\uff0c\u8ba4\u4e3a\u662f\u76f8\u5173\u6807\u7b7e\n            if intersection:\n                related.add(tag)\n\n        return list(related)\n</code></pre> <ol> <li>\u6807\u7b7e\u9875\u9762\u6837\u5f0f\uff1a</li> </ol> CSS<pre><code>/* docs/stylesheets/tags-page.css */\n/* \u6807\u7b7e\u5217\u8868\u9875\u9762 */\n.tags-list {\n    margin: 2rem 0;\n}\n\n.tag-section {\n    margin-bottom: 3rem;\n}\n\n.tag-section h2 {\n    color: var(--md-accent-fg-color);\n    border-bottom: 2px solid var(--md-accent-fg-color);\n    padding-bottom: 0.5rem;\n}\n\n.tag-section .post-list {\n    margin-left: 1rem;\n}\n\n.post-list-item {\n    margin: 1rem 0;\n}\n\n.post-list-item .post-title {\n    font-weight: 500;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n}\n\n.post-list-item .post-description {\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n    margin-top: 0.2rem;\n}\n\n/* \u6807\u7b7e\u8be6\u60c5\u9875\u9762 */\n.tag-detail {\n    padding: 2rem;\n}\n\n.tag-detail-header {\n    text-align: center;\n    margin-bottom: 3rem;\n}\n\n.tag-detail-title {\n    font-size: 2rem;\n    color: var(--md-primary-fg-color);\n}\n\n.tag-detail-count {\n    color: var(--md-default-fg-color--light);\n}\n\n.related-posts {\n    margin: 2rem 0;\n}\n\n.related-post {\n    padding: 1rem;\n    margin: 1rem 0;\n    background: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n}\n\n.related-post:hover {\n    transform: translateX(0.5rem);\n}\n\n.related-tags {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0.5rem;\n    margin: 2rem 0;\n}\n\n.related-tag {\n    padding: 0.2rem 0.8rem;\n    background: var(--md-code-bg-color);\n    border-radius: 2rem;\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color);\n    text-decoration: none;\n    transition: all 0.2s ease;\n}\n\n.related-tag:hover {\n    background: var(--md-accent-fg-color);\n    color: white;\n}\n</code></pre> <ol> <li>\u9875\u9762\u4ea4\u4e92\u529f\u80fd\uff1a</li> </ol> JavaScript<pre><code>// docs/javascripts/tags.js\nclass TagsManager {\n    constructor() {\n        this.initializeFilters();\n        this.setupSearch();\n        this.setupSorting();\n    }\n\n    initializeFilters() {\n        const tagList = document.querySelector('.tags-list');\n        if (!tagList) return;\n\n        // \u521b\u5efa\u8fc7\u6ee4\u5668\n        const filterContainer = document.createElement('div');\n        filterContainer.className = 'tags-filter';\n        filterContainer.innerHTML = `\n            &lt;input type=\"text\" \n                   class=\"filter-input\" \n                   placeholder=\"\u641c\u7d22\u6807\u7b7e...\"&gt;\n            &lt;select class=\"sort-select\"&gt;\n                &lt;option value=\"name\"&gt;\u6309\u540d\u79f0\u6392\u5e8f&lt;/option&gt;\n                &lt;option value=\"count\"&gt;\u6309\u6587\u7ae0\u6570\u91cf\u6392\u5e8f&lt;/option&gt;\n            &lt;/select&gt;\n        `;\n\n        tagList.insertBefore(filterContainer, tagList.firstChild);\n    }\n\n    setupSearch() {\n        const input = document.querySelector('.filter-input');\n        if (!input) return;\n\n        input.addEventListener('input', () =&gt; {\n            const query = input.value.toLowerCase();\n            const sections = document.querySelectorAll('.tag-section');\n\n            sections.forEach(section =&gt; {\n                const tag = section.querySelector('h2').textContent.toLowerCase();\n                section.style.display = tag.includes(query) ? 'block' : 'none';\n            });\n        });\n    }\n\n    setupSorting() {\n        const select = document.querySelector('.sort-select');\n        if (!select) return;\n\n        select.addEventListener('change', () =&gt; {\n            const sections = Array.from(document.querySelectorAll('.tag-section'));\n            const container = sections[0].parentElement;\n\n            sections.sort((a, b) =&gt; {\n                const aTag = a.querySelector('h2').textContent;\n                const bTag = b.querySelector('h2').textContent;\n                const aCount = this.getPostCount(a);\n                const bCount = this.getPostCount(b);\n\n                if (select.value === 'name') {\n                    return aTag.localeCompare(bTag);\n                } else {\n                    return bCount - aCount;\n                }\n            });\n\n            // \u91cd\u65b0\u63d2\u5165\u6392\u5e8f\u540e\u7684\u7ae0\u8282\n            sections.forEach(section =&gt; container.appendChild(section));\n        });\n    }\n\n    getPostCount(section) {\n        return section.querySelectorAll('.post-list-item').length;\n    }\n}\n\n// \u521d\u59cb\u5316\u6807\u7b7e\u7ba1\u7406\u5668\ndocument.addEventListener('DOMContentLoaded', () =&gt; {\n    new TagsManager();\n});\n</code></pre> <p>\u4f7f\u7528\u4ee5\u4e0a\u4ee3\u7801\uff0c\u4f60\u53ef\u4ee5\u5b9e\u73b0\u4e00\u4e2a\u529f\u80fd\u5b8c\u6574\u7684\u6807\u7b7e\u7cfb\u7edf\uff0c\u5305\u62ec\uff1a</p> <ol> <li>\u6807\u7b7e\u4e91\u53ef\u89c6\u5316</li> <li>\u6807\u7b7e\u5217\u8868\u6d4f\u89c8</li> <li>\u6807\u7b7e\u8be6\u60c5\u9875\u9762</li> <li>\u76f8\u5173\u6807\u7b7e\u63a8\u8350</li> <li>\u6807\u7b7e\u641c\u7d22\u548c\u6392\u5e8f</li> <li>\u54cd\u5e94\u5f0f\u5e03\u5c40</li> </ol> <p>\u914d\u7f6e\u6587\u4ef6\u9700\u8981\u6dfb\u52a0\u76f8\u5e94\u7684\u5f15\u7528\uff1a</p> YAML<pre><code># mkdocs.yml\nextra_css:\n  - stylesheets/tags.css\n  - stylesheets/tags-page.css\n\nextra_javascript:\n  - javascripts/tags.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#9","title":"9 \u529f\u80fd\u6269\u5c55","text":""},{"location":"Technology/mkdocs%20material/#91","title":"9.1 \u8bc4\u8bba\u7cfb\u7edf","text":""},{"location":"Technology/mkdocs%20material/#911-giscus","title":"9.1.1 Giscus \u914d\u7f6e","text":"<ol> <li>\u57fa\u7840\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra:\n  comments:\n    provider: giscus\n    repo: username/repo\n    repo_id: your_repo_id\n    category: Comments\n    category_id: your_category_id\n</code></pre> <ol> <li>Giscus \u7ec4\u4ef6\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/comments.html --&gt;\n{% if config.extra.comments.provider == 'giscus' %}\n&lt;div class=\"comments-container\"&gt;\n    &lt;h3&gt;\u8bc4\u8bba&lt;/h3&gt;\n    &lt;div class=\"giscus\"&gt;&lt;/div&gt;\n\n    &lt;script&gt;\n        function loadGiscus() {\n            const script = document.createElement('script');\n            script.src = 'https://giscus.app/client.js';\n            script.setAttribute('data-repo', '{{ config.extra.comments.repo }}');\n            script.setAttribute('data-repo-id', '{{ config.extra.comments.repo_id }}');\n            script.setAttribute('data-category', '{{ config.extra.comments.category }}');\n            script.setAttribute('data-category-id', '{{ config.extra.comments.category_id }}');\n            script.setAttribute('data-mapping', 'pathname');\n            script.setAttribute('data-reactions-enabled', '1');\n            script.setAttribute('data-emit-metadata', '0');\n            script.setAttribute('data-theme', 'preferred_color_scheme');\n            script.setAttribute('crossorigin', 'anonymous');\n            script.async = true;\n\n            document.querySelector('.giscus').appendChild(script);\n        }\n\n        // \u5ef6\u8fdf\u52a0\u8f7d\u8bc4\u8bba\n        if ('IntersectionObserver' in window) {\n            const observer = new IntersectionObserver((entries) =&gt; {\n                if (entries[0].isIntersecting) {\n                    loadGiscus();\n                    observer.disconnect();\n                }\n            });\n\n            observer.observe(document.querySelector('.comments-container'));\n        } else {\n            loadGiscus();\n        }\n    &lt;/script&gt;\n&lt;/div&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#912","title":"9.1.2 \u81ea\u5b9a\u4e49\u8bc4\u8bba\u6837\u5f0f","text":"CSS<pre><code>/* docs/stylesheets/comments.css */\n.comments-container {\n    margin: 3rem 0;\n    padding-top: 2rem;\n    border-top: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.giscus {\n    width: 100%;\n}\n\n/* Giscus \u4e3b\u9898\u9002\u914d */\n.giscus-frame {\n    background-color: var(--md-default-bg-color);\n    color: var(--md-default-fg-color);\n}\n\n/* \u6697\u8272\u6a21\u5f0f\u9002\u914d */\n[data-md-color-scheme=\"slate\"] .giscus-frame {\n    background-color: var(--md-default-bg-color--dark);\n    color: var(--md-default-fg-color--dark);\n}\n\n/* \u8bc4\u8bba\u6846\u6837\u5f0f */\n.giscus .gsc-comment-box {\n    background-color: var(--md-code-bg-color);\n    border-radius: 8px;\n    padding: 1rem;\n}\n\n/* \u8bc4\u8bba\u5217\u8868\u6837\u5f0f */\n.giscus .gsc-comment {\n    margin: 1rem 0;\n    padding: 1rem;\n    background-color: var(--md-code-bg-color);\n    border-radius: 8px;\n    transition: transform 0.2s ease;\n}\n\n.giscus .gsc-comment:hover {\n    transform: translateX(4px);\n}\n\n/* \u6309\u94ae\u6837\u5f0f */\n.giscus .gsc-button {\n    background-color: var(--md-primary-fg-color);\n    color: var(--md-primary-bg-color);\n    border: none;\n    padding: 0.5rem 1rem;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.giscus .gsc-button:hover {\n    background-color: var(--md-primary-fg-color--dark);\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#92","title":"9.2 \u6570\u636e\u7edf\u8ba1","text":""},{"location":"Technology/mkdocs%20material/#921-google-analytics","title":"9.2.1 Google Analytics","text":"<ol> <li>GA4 \u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># mkdocs.yml\nextra:\n  analytics:\n    provider: google\n    property: G-XXXXXXXXXX\n\n    # \u4e8b\u4ef6\u8ffd\u8e2a\n    events: true\n    # \u7528\u6237\u884c\u4e3a\u8ffd\u8e2a\n    behavior: true\n</code></pre> <ol> <li>GA4 \u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/analytics.html --&gt;\n{% if config.extra.analytics.provider == 'google' %}\n&lt;!-- Google Analytics --&gt;\n&lt;script async src=\"https://www.googletagmanager.com/gtag/js?id={{ config.extra.analytics.property }}\"&gt;&lt;/script&gt;\n&lt;script&gt;\n  window.dataLayer = window.dataLayer || [];\n  function gtag(){dataLayer.push(arguments);}\n  gtag('js', new Date());\n  gtag('config', '{{ config.extra.analytics.property }}');\n\n  // \u4e8b\u4ef6\u8ffd\u8e2a\n  if ({{ config.extra.analytics.events|tojson }}) {\n      document.addEventListener('DOMContentLoaded', function() {\n          // \u70b9\u51fb\u4e8b\u4ef6\u8ffd\u8e2a\n          document.addEventListener('click', function(e) {\n              const target = e.target.closest('a');\n              if (target) {\n                  gtag('event', 'click', {\n                      'event_category': 'link',\n                      'event_label': target.href\n                  });\n              }\n          });\n\n          // \u6eda\u52a8\u4e8b\u4ef6\u8ffd\u8e2a\n          let lastScrollDepth = 0;\n          window.addEventListener('scroll', debounce(function() {\n              const scrollDepth = Math.round(\n                  (window.scrollY + window.innerHeight) / \n                  document.documentElement.scrollHeight * 100\n              );\n\n              if (scrollDepth &gt; lastScrollDepth) {\n                  gtag('event', 'scroll_depth', {\n                      'depth': scrollDepth\n                  });\n                  lastScrollDepth = scrollDepth;\n              }\n          }, 500));\n\n          // \u641c\u7d22\u4e8b\u4ef6\u8ffd\u8e2a\n          const searchInput = document.querySelector('.md-search__input');\n          if (searchInput) {\n              searchInput.addEventListener('search', function() {\n                  gtag('event', 'search', {\n                      'search_term': this.value\n                  });\n              });\n          }\n      });\n  }\n\n  // \u7528\u6237\u884c\u4e3a\u8ffd\u8e2a\n  if ({{ config.extra.analytics.behavior|tojson }}) {\n      // \u9875\u9762\u505c\u7559\u65f6\u95f4\n      let startTime = Date.now();\n      window.addEventListener('beforeunload', function() {\n          const duration = Math.round((Date.now() - startTime) / 1000);\n          gtag('event', 'time_on_page', {\n              'duration': duration\n          });\n      });\n\n      // \u590d\u5236\u884c\u4e3a\u8ffd\u8e2a\n      document.addEventListener('copy', function() {\n          gtag('event', 'content_copy');\n      });\n  }\n&lt;/script&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#922","title":"9.2.2 \u4e0d\u849c\u5b50\u7edf\u8ba1","text":"<ol> <li>\u4e0d\u849c\u5b50\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  analytics:\n    busuanzi: true\n</code></pre> <ol> <li>\u4e0d\u849c\u5b50\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/busuanzi.html --&gt;\n{% if config.extra.analytics.busuanzi %}\n&lt;script async src=\"//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js\"&gt;&lt;/script&gt;\n\n&lt;div class=\"page-views\"&gt;\n    &lt;!-- \u603b\u8bbf\u95ee\u91cf --&gt;\n    &lt;span id=\"busuanzi_container_site_pv\"&gt;\n        \u603b\u8bbf\u95ee\u91cf: &lt;span id=\"busuanzi_value_site_pv\"&gt;&lt;/span&gt;\u6b21\n    &lt;/span&gt;\n\n    &lt;!-- \u603b\u8bbf\u5ba2\u6570 --&gt;\n    &lt;span id=\"busuanzi_container_site_uv\"&gt;\n        \u8bbf\u5ba2\u6570: &lt;span id=\"busuanzi_value_site_uv\"&gt;&lt;/span&gt;\u4eba\n    &lt;/span&gt;\n\n    &lt;!-- \u9875\u9762\u8bbf\u95ee\u91cf --&gt;\n    &lt;span id=\"busuanzi_container_page_pv\"&gt;\n        \u672c\u6587\u8bbf\u95ee\u91cf: &lt;span id=\"busuanzi_value_page_pv\"&gt;&lt;/span&gt;\u6b21\n    &lt;/span&gt;\n&lt;/div&gt;\n\n&lt;style&gt;\n.page-views {\n    display: flex;\n    gap: 1rem;\n    margin: 1rem 0;\n    padding: 0.5rem;\n    background: var(--md-code-bg-color);\n    border-radius: 4px;\n    font-size: 0.9rem;\n}\n\n.page-views span {\n    color: var(--md-default-fg-color--light);\n}\n\n.page-views span span {\n    color: var(--md-accent-fg-color);\n    font-weight: bold;\n}\n&lt;/style&gt;\n{% endif %}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#93","title":"9.3 \u793e\u4ea4\u5206\u4eab","text":""},{"location":"Technology/mkdocs%20material/#931","title":"9.3.1 \u5206\u4eab\u6309\u94ae","text":"<ol> <li>\u5206\u4eab\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>extra:\n  social_share:\n    enabled: true\n    platforms:\n      - name: twitter\n        icon: material/twitter\n        color: '#1DA1F2'\n      - name: facebook\n        icon: material/facebook\n        color: '#4267B2'\n      - name: linkedin\n        icon: material/linkedin\n        color: '#0A66C2'\n      - name: weibo\n        icon: material/sina-weibo\n        color: '#E6162D'\n</code></pre> <ol> <li>\u5206\u4eab\u6309\u94ae\u5b9e\u73b0\uff1a</li> </ol> HTML<pre><code>&lt;!-- docs/overrides/partials/share.html --&gt;\n{% if config.extra.social_share.enabled %}\n&lt;div class=\"share-container\"&gt;\n    &lt;h4&gt;\u5206\u4eab\u6587\u7ae0&lt;/h4&gt;\n    &lt;div class=\"share-buttons\"&gt;\n        {% for platform in config.extra.social_share.platforms %}\n        &lt;button class=\"share-button\" \n                data-platform=\"{{ platform.name }}\"\n                style=\"--platform-color: {{ platform.color }}\"\n                onclick=\"shareContent('{{ platform.name }}')\"&gt;\n            &lt;span class=\"share-icon\"&gt;\n                {% include \".icons/\" ~ platform.icon ~ \".svg\" %}\n            &lt;/span&gt;\n            &lt;span class=\"share-text\"&gt;\u5206\u4eab\u5230 {{ platform.name|title }}&lt;/span&gt;\n        &lt;/button&gt;\n        {% endfor %}\n    &lt;/div&gt;\n&lt;/div&gt;\n\n&lt;style&gt;\n.share-container {\n    margin: 2rem 0;\n}\n\n.share-buttons {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0.5rem;\n    margin-top: 1rem;\n}\n\n.share-button {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    border: none;\n    border-radius: 4px;\n    background: var(--md-code-bg-color);\n    color: var(--platform-color);\n    cursor: pointer;\n    transition: all 0.2s ease;\n}\n\n.share-button:hover {\n    background: var(--platform-color);\n    color: white;\n    transform: translateY(-2px);\n}\n\n.share-icon {\n    margin-right: 0.5rem;\n}\n&lt;/style&gt;\n</code></pre>"},{"location":"Technology/mkdocs%20material/#932","title":"9.3.2 \u5206\u4eab\u94fe\u63a5\u751f\u6210","text":"JavaScript<pre><code>// docs/javascripts/share.js\nclass ShareManager {\n    constructor() {\n        this.title = document.title;\n        this.url = window.location.href;\n        this.description = document\n            .querySelector('meta[name=\"description\"]')\n            ?.content || '';\n    }\n\n    generateShareUrl(platform) {\n        const params = new URLSearchParams();\n        switch (platform) {\n            case 'twitter':\n                return `https://twitter.com/intent/tweet?${\n                    params.set('text', this.title),\n                    params.set('url', this.url)\n                }`;\n\n            case 'facebook':\n                return `https://www.facebook.com/sharer/sharer.php?${\n                    params.set('u', this.url)\n                }`;\n\n            case 'linkedin':\n                return `https://www.linkedin.com/sharing/share-offsite/?${\n                    params.set('url', this.url)\n                }`;\n\n            case 'weibo':\n                return `http://service.weibo.com/share/share.php?${\n                    params.set('title', this.title),\n                    params.set('url', this.url)\n                }`;\n\n            default:\n                return null;\n        }\n    }\n\n    async share(platform) {\n        // \u68c0\u67e5\u662f\u5426\u652f\u6301\u539f\u751f\u5206\u4eab\n        if (navigator.share &amp;&amp; platform === 'native') {\n            try {\n                await navigator.share({\n                    title: this.title,\n                    text: this.description,\n                    url: this.url\n                });\n                return true;\n            } catch (err) {\n                console.warn('Native share failed:', err);\n                return false;\n            }\n        }\n\n        // \u4f7f\u7528\u5f39\u7a97\u5206\u4eab\n        const url = this.generateShareUrl(platform);\n        if (url) {\n            window.open(url, '_blank', 'width=600,height=400');\n            return true;\n        }\n\n        return false;\n    }\n\n    // \u81ea\u5b9a\u4e49\u5206\u4eab\u5185\u5bb9\n    setContent(title, description) {\n        this.title = title;\n        this.description = description;\n    }\n}\n\n// \u5168\u5c40\u5206\u4eab\u529f\u80fd\nwindow.shareContent = async function(platform) {\n    const shareManager = new ShareManager();\n    const success = await shareManager.share(platform);\n\n    // \u8bb0\u5f55\u5206\u4eab\u4e8b\u4ef6\n    if (success) {\n        recordShare(platform);\n    }\n};\n\n// \u5206\u4eab\u7edf\u8ba1\nfunction recordShare(platform) {\n    // GA4 \u4e8b\u4ef6\u8ffd\u8e2a\n    if (typeof gtag !== 'undefined') {\n        gtag('event', 'share', {\n            'platform': platform,\n            'title': document.title,\n            'url': window.location.href\n        });\n    }\n\n    // \u672c\u5730\u5b58\u50a8\u7edf\u8ba1\n    const stats = JSON.parse(localStorage.getItem('share_stats') || '{}');\n    stats[platform] = (stats[platform] || 0) + 1;\n    localStorage.setItem('share_stats', JSON.stringify(stats));\n\n    updateShareCount(platform);\n}\n\n// \u66f4\u65b0\u5206\u4eab\u8ba1\u6570\nfunction updateShareCount(platform) {\n    const countElement = document.querySelector(\n        `.share-count[data-platform=\"${platform}\"]`\n    );\n    if (countElement) {\n        const stats = JSON.parse(localStorage.getItem('share_stats') || '{}');\n        countElement.textContent = stats[platform] || 0;\n    }\n}\n</code></pre>"},{"location":"Technology/mkdocs%20material/#94","title":"9.4 \u7ad9\u5185\u641c\u7d22","text":""},{"location":"Technology/mkdocs%20material/#941","title":"9.4.1 \u641c\u7d22\u4f18\u5316","text":"<ol> <li>\u641c\u7d22\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code>plugins:\n  - search:\n      lang:\n        - en\n        - zh\n      separator: '[\\s\\-\\.,!\\?\uff0c\u3002\uff01\uff1f]+'  # \u5206\u8bcd\u5206\u9694\u7b26\n      prebuild_index: true\n      indexing:\n        full_sections: true\n        headings: true\n        content: true\n        tags: true\n\n      # \u9ad8\u7ea7\u641c\u7d22\u914d\u7f6e\n      search_boost: true     # \u542f\u7528\u641c\u7d22\u63d0\u5347\n      search_threshold: 0.3  # \u641c\u7d22\u9608\u503c\n      search_fields:         # \u641c\u7d22\u5b57\u6bb5\u6743\u91cd\n        title: 10\n        tags: 8\n        content: 5\n</code></pre> <p>\u641c\u7d22\u4f18\u5316\u5b9e\u73b0\uff1a</p> JavaScript<pre><code>// docs/javascripts/search-enhance.js\nclass SearchEnhancer {\n    constructor() {\n        this.searchIndex = null;\n        this.searchResults = [];\n        this.searchHistory = [];\n        this.maxHistoryItems = 10;\n\n        this.init();\n    }\n\n    async init() {\n        // \u52a0\u8f7d\u641c\u7d22\u7d22\u5f15\n        await this.loadSearchIndex();\n        // \u52a0\u8f7d\u641c\u7d22\u5386\u53f2\n        this.loadSearchHistory();\n        // \u521d\u59cb\u5316\u641c\u7d22\u7ec4\u4ef6\n        this.setupSearch();\n    }\n\n    async loadSearchIndex() {\n        try {\n            const response = await fetch('/search/search_index.json');\n            const data = await response.json();\n\n            // \u4f7f\u7528 Lunr.js \u6784\u5efa\u7d22\u5f15\n            this.searchIndex = lunr(function() {\n                this.use(lunr.multiLanguage('en', 'zh'));\n\n                this.ref('location');\n                this.field('title', { boost: 10 });\n                this.field('tags', { boost: 8 });\n                this.field('text', { boost: 5 });\n\n                data.docs.forEach(function(doc) {\n                    this.add(doc);\n                }, this);\n            });\n        } catch (error) {\n            console.error('Failed to load search index:', error);\n        }\n    }\n\n    setupSearch() {\n        const searchInput = document.querySelector('.md-search__input');\n        if (!searchInput) return;\n\n        // \u9632\u6296\u5904\u7406\n        searchInput.addEventListener('input', debounce((e) =&gt; {\n            const query = e.target.value;\n            if (query.length &gt;= 2) {\n                this.performSearch(query);\n            } else {\n                this.clearResults();\n            }\n        }, 200));\n\n        // \u641c\u7d22\u5386\u53f2\n        searchInput.addEventListener('focus', () =&gt; {\n            this.showSearchHistory();\n        });\n    }\n\n    performSearch(query) {\n        if (!this.searchIndex) return;\n\n        try {\n            // \u6267\u884c\u641c\u7d22\n            this.searchResults = this.searchIndex.search(query);\n\n            // \u7ed3\u679c\u540e\u5904\u7406\n            this.searchResults = this.postProcessResults(this.searchResults, query);\n\n            // \u663e\u793a\u7ed3\u679c\n            this.displayResults(this.searchResults);\n\n            // \u663e\u793a\u641c\u7d22\u5efa\u8bae\n            this.showSearchSuggestions(query);\n        } catch (error) {\n            console.error('Search failed:', error);\n        }\n    }\n\n    postProcessResults(results, query) {\n        return results\n            .map(result =&gt; {\n                // \u8ba1\u7b97\u76f8\u5173\u5ea6\u5206\u6570\n                const score = this.calculateRelevanceScore(result, query);\n\n                return {\n                    ...result,\n                    score: score,\n                    highlights: this.generateHighlights(result, query)\n                };\n            })\n            // \u6309\u5206\u6570\u6392\u5e8f\n            .sort((a, b) =&gt; b.score - a.score)\n            // \u9650\u5236\u7ed3\u679c\u6570\u91cf\n            .slice(0, 10);\n    }\n\n    calculateRelevanceScore(result, query) {\n        let score = result.score;\n\n        // \u6807\u9898\u5339\u914d\u52a0\u5206\n        if (result.title?.toLowerCase().includes(query.toLowerCase())) {\n            score *= 1.5;\n        }\n\n        // \u6807\u7b7e\u5339\u914d\u52a0\u5206\n        if (result.tags?.some(tag =&gt; \n            tag.toLowerCase().includes(query.toLowerCase())\n        )) {\n            score *= 1.2;\n        }\n\n        return score;\n    }\n\n    generateHighlights(result, query) {\n        const text = result.text || '';\n        const words = query.toLowerCase().split(/\\s+/);\n        const context = 50; // \u4e0a\u4e0b\u6587\u957f\u5ea6\n\n        let highlights = [];\n\n        words.forEach(word =&gt; {\n            let index = text.toLowerCase().indexOf(word);\n            while (index &gt; -1) {\n                const start = Math.max(0, index - context);\n                const end = Math.min(text.length, index + word.length + context);\n                const highlight = text.slice(start, end);\n\n                highlights.push({\n                    text: highlight,\n                    position: start\n                });\n\n                index = text.toLowerCase().indexOf(word, index + 1);\n            }\n        });\n\n        // \u5408\u5e76\u91cd\u53e0\u7684\u9ad8\u4eae\u7247\u6bb5\n        return this.mergeHighlights(highlights);\n    }\n\n    mergeHighlights(highlights) {\n        if (highlights.length === 0) return [];\n\n        highlights.sort((a, b) =&gt; a.position - b.position);\n\n        let merged = [highlights[0]];\n        for (let i = 1; i &lt; highlights.length; i++) {\n            let current = highlights[i];\n            let last = merged[merged.length - 1];\n\n            if (current.position &lt;= last.position + last.text.length) {\n                // \u5408\u5e76\u91cd\u53e0\u7684\u7247\u6bb5\n                last.text = last.text.slice(0, current.position - last.position) +\n                           current.text;\n            } else {\n                merged.push(current);\n            }\n        }\n\n        return merged;\n    }\n\n    loadSearchHistory() {\n        try {\n            this.searchHistory = JSON.parse(\n                localStorage.getItem('search_history')\n            ) || [];\n        } catch (error) {\n            this.searchHistory = [];\n        }\n    }\n\n    saveSearchHistory(query) {\n        if (!query) return;\n\n        // \u79fb\u9664\u91cd\u590d\u9879\n        this.searchHistory = this.searchHistory.filter(item =&gt; \n            item.query !== query\n        );\n\n        // \u6dfb\u52a0\u65b0\u9879\n        this.searchHistory.unshift({\n            query: query,\n            timestamp: Date.now()\n        });\n\n        // \u9650\u5236\u5386\u53f2\u8bb0\u5f55\u6570\u91cf\n        if (this.searchHistory.length &gt; this.maxHistoryItems) {\n            this.searchHistory.pop();\n        }\n\n        // \u4fdd\u5b58\u5230\u672c\u5730\u5b58\u50a8\n        localStorage.setItem(\n            'search_history',\n            JSON.stringify(this.searchHistory)\n        );\n    }\n\n    showSearchHistory() {\n        const container = document.querySelector('.md-search__history');\n        if (!container) return;\n\n        // \u6e05\u7a7a\u5bb9\u5668\n        container.innerHTML = '';\n\n        // \u663e\u793a\u5386\u53f2\u8bb0\u5f55\n        this.searchHistory.forEach(item =&gt; {\n            const element = document.createElement('div');\n            element.className = 'search-history-item';\n            element.innerHTML = `\n                &lt;span class=\"history-icon\"&gt;\n                    {% include \".icons/material/history.svg\" %}\n                &lt;/span&gt;\n                &lt;span class=\"history-query\"&gt;${item.query}&lt;/span&gt;\n                &lt;span class=\"history-time\"&gt;\n                    ${this.formatTime(item.timestamp)}\n                &lt;/span&gt;\n            `;\n\n            element.addEventListener('click', () =&gt; {\n                const searchInput = document.querySelector('.md-search__input');\n                if (searchInput) {\n                    searchInput.value = item.query;\n                    searchInput.dispatchEvent(new Event('input'));\n                }\n            });\n\n            container.appendChild(element);\n        });\n    }\n\n    formatTime(timestamp) {\n        const now = Date.now();\n        const diff = now - timestamp;\n\n        if (diff &lt; 60000) return '\u521a\u521a';\n        if (diff &lt; 3600000) return `${Math.floor(diff/60000)}\u5206\u949f\u524d`;\n        if (diff &lt; 86400000) return `${Math.floor(diff/3600000)}\u5c0f\u65f6\u524d`;\n        return `${Math.floor(diff/86400000)}\u5929\u524d`;\n    }\n}\n\n// \u521d\u59cb\u5316\u641c\u7d22\u589e\u5f3a\nnew SearchEnhancer();\n</code></pre> <p>\u641c\u7d22\u76f8\u5173\u6837\u5f0f\uff1a</p> CSS<pre><code>/* docs/stylesheets/search.css */\n/* \u641c\u7d22\u5386\u53f2 */\n.search-history-item {\n    display: flex;\n    align-items: center;\n    padding: 0.5rem 1rem;\n    cursor: pointer;\n    transition: background 0.2s ease;\n}\n\n.search-history-item:hover {\n    background: var(--md-code-bg-color);\n}\n\n.history-icon {\n    margin-right: 0.5rem;\n    color: var(--md-default-fg-color--light);\n}\n\n.history-query {\n    flex: 1;\n    font-weight: 500;\n}\n\n.history-time {\n    font-size: 0.8rem;\n    color: var(--md-default-fg-color--light);\n}\n\n/* \u641c\u7d22\u5efa\u8bae */\n.search-suggestions {\n    padding: 1rem;\n}\n\n.suggestion-item {\n    padding: 0.5rem;\n    border-radius: 4px;\n    cursor: pointer;\n    transition: background 0.2s ease;\n}\n\n.suggestion-item:hover {\n    background: var(--md-code-bg-color);\n}\n\n/* \u9ad8\u4eae\u6587\u672c */\n.search-highlight {\n    background: var(--md-accent-fg-color);\n    color: white;\n    padding: 0 0.2rem;\n    border-radius: 2px;\n}\n\n/* \u641c\u7d22\u7ed3\u679c */\n.search-result {\n    padding: 1rem;\n    border-bottom: 1px solid var(--md-default-fg-color--lightest);\n}\n\n.result-title {\n    font-size: 1.1rem;\n    font-weight: 500;\n    margin-bottom: 0.5rem;\n}\n\n.result-excerpt {\n    font-size: 0.9rem;\n    color: var(--md-default-fg-color--light);\n    margin-bottom: 0.5rem;\n}\n\n.result-meta {\n    display: flex;\n    gap: 1rem;\n    font-size: 0.8rem;\n    color: var(--md-default-fg-color--lighter);\n}\n</code></pre> <p>\u4f7f\u7528\u8fd9\u4e9b\u4ee3\u7801\uff0c\u4f60\u53ef\u4ee5\u5b9e\u73b0\u4e00\u4e2a\u529f\u80fd\u5b8c\u5584\u7684\u641c\u7d22\u7cfb\u7edf\uff0c\u5305\u62ec\uff1a</p> <ol> <li>\u9ad8\u6027\u80fd\u641c\u7d22</li> <li>\u667a\u80fd\u7ed3\u679c\u6392\u5e8f</li> <li>\u641c\u7d22\u5386\u53f2\u8bb0\u5f55</li> <li>\u641c\u7d22\u5efa\u8bae</li> <li>\u7ed3\u679c\u9ad8\u4eae</li> <li>\u591a\u8bed\u8a00\u652f\u6301</li> </ol> <p>\u8bb0\u5f97\u5728 <code>mkdocs.yml</code> \u4e2d\u6dfb\u52a0\u76f8\u5e94\u7684\u5f15\u7528\uff1a</p> YAML<pre><code>extra_css:\n  - stylesheets/search.css\n\nextra_javascript:\n  - https://unpkg.com/lunr/lunr.js\n  - https://unpkg.com/lunr-languages/lunr.stemmer.support.js\n  - https://unpkg.com/lunr-languages/lunr.zh.js\n  - javascripts/search-enhance.js\n</code></pre>"},{"location":"Technology/mkdocs%20material/#10","title":"10 \u90e8\u7f72\u65b9\u6848","text":""},{"location":"Technology/mkdocs%20material/#101","title":"10.1 \u672c\u5730\u90e8\u7f72","text":""},{"location":"Technology/mkdocs%20material/#1011","title":"10.1.1 \u6784\u5efa\u9759\u6001\u6587\u4ef6","text":"<p>\u4f7f\u7528 MkDocs \u6784\u5efa\u9759\u6001\u6587\u4ef6\uff1a</p> Bash<pre><code># \u6784\u5efa\u7ad9\u70b9\nmkdocs build\n\n# \u6307\u5b9a\u8f93\u51fa\u76ee\u5f55\nmkdocs build -d custom_site_dir\n\n# \u6e05\u7406\u5e76\u6784\u5efa\nmkdocs build --clean\n</code></pre> <p>\u6784\u5efa\u9009\u9879\u8bf4\u660e\uff1a</p> YAML<pre><code># mkdocs.yml\nsite_dir: site               # \u8f93\u51fa\u76ee\u5f55\ndocs_dir: docs              # \u6587\u6863\u6e90\u76ee\u5f55\nstrict: true                # \u4e25\u683c\u6a21\u5f0f\nuse_directory_urls: true    # \u4f7f\u7528\u76ee\u5f55 URL\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1012","title":"10.1.2 \u672c\u5730\u670d\u52a1\u5668","text":"<p>\u5f00\u53d1\u670d\u52a1\u5668\u914d\u7f6e\uff1a</p> Bash<pre><code># \u542f\u52a8\u5f00\u53d1\u670d\u52a1\u5668\nmkdocs serve\n\n# \u6307\u5b9a\u7aef\u53e3\nmkdocs serve -a localhost:8080\n\n# \u81ea\u52a8\u91cd\u8f7d\nmkdocs serve --dirtyreload\n</code></pre> <p>\u5f00\u53d1\u670d\u52a1\u5668\u9ad8\u7ea7\u914d\u7f6e\uff1a</p> YAML<pre><code># mkdocs.yml\ndev_addr: 127.0.0.1:8000    # \u5f00\u53d1\u670d\u52a1\u5668\u5730\u5740\nwatch: [docs, includes]      # \u76d1\u89c6\u7684\u76ee\u5f55\n</code></pre>"},{"location":"Technology/mkdocs%20material/#102-github-pages","title":"10.2 GitHub Pages \u90e8\u7f72","text":""},{"location":"Technology/mkdocs%20material/#1021","title":"10.2.1 \u4ed3\u5e93\u914d\u7f6e","text":"<ol> <li> <p>\u521b\u5efa GitHub \u4ed3\u5e93\uff1a    - \u521b\u5efa\u65b0\u4ed3\u5e93\u6216\u4f7f\u7528\u73b0\u6709\u4ed3\u5e93    - \u4ed3\u5e93\u540d\u683c\u5f0f\uff1a <code>username.github.io</code> \u6216\u666e\u901a\u4ed3\u5e93\u540d</p> </li> <li> <p>\u914d\u7f6e\u6587\u4ef6\uff1a</p> </li> </ol> YAML<pre><code># mkdocs.yml\nsite_url: https://username.github.io/repository/\nrepo_url: https://github.com/username/repository\nedit_uri: edit/main/docs/\n</code></pre> <ol> <li>\u521d\u59cb\u5316\u4ed3\u5e93\uff1a</li> </ol> Bash<pre><code># \u521d\u59cb\u5316 Git \u4ed3\u5e93\ngit init\n\n# \u6dfb\u52a0\u8fdc\u7a0b\u4ed3\u5e93\ngit remote add origin https://github.com/username/repository.git\n\n# \u63d0\u4ea4\u521d\u59cb\u6587\u4ef6\ngit add .\ngit commit -m \"Initial commit\"\ngit push -u origin main\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1022-github-actions","title":"10.2.2 GitHub Actions","text":"<p>\u521b\u5efa GitHub Actions \u5de5\u4f5c\u6d41\u6587\u4ef6\uff1a</p> YAML<pre><code># .github/workflows/ci.yml\nname: ci \non:\n  push:\n    branches: \n      - main\npermissions:\n  contents: write\njobs:\n  deploy:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n      - name: Configure Git Credentials\n        run: |\n          git config user.name github-actions[bot]\n          git config user.email 41898282+github-actions[bot]@users.noreply.github.com\n      - uses: actions/setup-python@v4\n        with:\n          python-version: 3.x\n      - run: echo \"cache_id=$(date --utc '+%V')\" &gt;&gt; $GITHUB_ENV \n      - uses: actions/cache@v3\n        with:\n          key: mkdocs-material-${{ env.cache_id }}\n          path: .cache\n          restore-keys: |\n            mkdocs-material-\n      - name: Install dependencies\n        run: |\n          pip install mkdocs-material\n          pip install mkdocs-glightbox\n          pip install mkdocs-git-revision-date-localized-plugin\n      - name: Deploy\n        run: mkdocs gh-deploy --force\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1023","title":"10.2.3 \u81ea\u52a8\u90e8\u7f72","text":"<p>\u914d\u7f6e\u81ea\u52a8\u90e8\u7f72\uff1a</p> <ol> <li> <p>\u542f\u7528 GitHub Pages\uff1a    - \u8fdb\u5165\u4ed3\u5e93\u8bbe\u7f6e -&gt; Pages    - Source \u9009\u62e9 <code>gh-pages</code> \u5206\u652f    - \u4fdd\u5b58\u8bbe\u7f6e</p> </li> <li> <p>\u914d\u7f6e\u90e8\u7f72\u5206\u652f\uff1a</p> </li> </ol> YAML<pre><code># mkdocs.yml\nremote_branch: gh-pages    # GitHub Pages \u5206\u652f\nremote_name: origin       # \u8fdc\u7a0b\u4ed3\u5e93\u540d\n</code></pre> <ol> <li>\u624b\u52a8\u90e8\u7f72\u547d\u4ee4\uff1a</li> </ol> Bash<pre><code># \u90e8\u7f72\u5230 GitHub Pages\nmkdocs gh-deploy\n\n# \u5f3a\u5236\u90e8\u7f72\nmkdocs gh-deploy --force\n\n# \u6307\u5b9a\u5206\u652f\nmkdocs gh-deploy --remote-branch custom-branch\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1024","title":"10.2.4 \u81ea\u5b9a\u4e49\u57df\u540d","text":"<ol> <li>\u6dfb\u52a0 CNAME \u6587\u4ef6\uff1a</li> </ol> Bash<pre><code># docs/CNAME\ndocs.example.com\n</code></pre> <ol> <li> <p>DNS \u914d\u7f6e\uff1a    - \u6dfb\u52a0 CNAME \u8bb0\u5f55\u6307\u5411 <code>username.github.io</code>    - \u6216\u6dfb\u52a0 A \u8bb0\u5f55\u6307\u5411 GitHub Pages IP</p> </li> <li> <p>\u914d\u7f6e\u6587\u4ef6\u66f4\u65b0\uff1a</p> </li> </ol> YAML<pre><code># mkdocs.yml\nsite_url: https://docs.example.com/\n</code></pre>"},{"location":"Technology/mkdocs%20material/#103","title":"10.3 \u6301\u7eed\u96c6\u6210","text":""},{"location":"Technology/mkdocs%20material/#1031-cicd","title":"10.3.1 CI/CD \u914d\u7f6e","text":"<p>\u9ad8\u7ea7 GitHub Actions \u914d\u7f6e\uff1a</p> YAML<pre><code>name: CI/CD Pipeline\non:\n  push:\n    branches:\n      - main\n  pull_request:\n    branches:\n      - main\n\njobs:\n  test:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n\n      - name: Set up Python\n        uses: actions/setup-python@v4\n        with:\n          python-version: 3.x\n\n      - name: Cache dependencies\n        uses: actions/cache@v3\n        with:\n          path: ~/.cache/pip\n          key: ${{ runner.os }}-pip-${{ hashFiles('requirements.txt') }}\n          restore-keys: |\n            ${{ runner.os }}-pip-\n\n      - name: Install dependencies\n        run: |\n          python -m pip install --upgrade pip\n          pip install -r requirements.txt\n\n      - name: Run tests\n        run: |\n          mkdocs build --strict\n\n  deploy:\n    needs: test\n    if: github.ref == 'refs/heads/main'\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n\n      - name: Deploy to GitHub Pages\n        run: |\n          mkdocs gh-deploy --force\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1032","title":"10.3.2 \u81ea\u52a8\u5316\u6d4b\u8bd5","text":"<ol> <li>\u94fe\u63a5\u68c0\u67e5\uff1a</li> </ol> YAML<pre><code>name: Link Check\non:\n  schedule:\n    - cron: '0 0 * * *'  # \u6bcf\u5929\u8fd0\u884c\njobs:\n  linkCheck:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n      - name: Link Checker\n        uses: lycheeverse/lychee-action@v1.8.0\n        with:\n          args: --verbose --no-progress 'docs/**/*.md'\n</code></pre> <ol> <li>HTML \u9a8c\u8bc1\uff1a</li> </ol> YAML<pre><code>name: HTML Validation\njobs:\n  validate:\n    runs-on: ubuntu-latest\n    steps:\n      - uses: actions/checkout@v4\n      - name: Build site\n        run: mkdocs build\n      - name: Validate HTML\n        uses: Cyb3r-Jak3/html5validator-action@v7.2.0\n        with:\n          root: site/\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1033","title":"10.3.3 \u90e8\u7f72\u7b56\u7565","text":"<ol> <li>\u5206\u652f\u7b56\u7565\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># \u4fdd\u62a4\u5206\u652f\u8bbe\u7f6e\nbranches:\n  - name: main\n    protection:\n      required_status_checks:\n        strict: true\n        contexts: ['test', 'build']\n      required_pull_request_reviews:\n        required_approving_review_count: 1\n</code></pre> <ol> <li>\u73af\u5883\u914d\u7f6e\uff1a</li> </ol> YAML<pre><code># \u73af\u5883\u53d8\u91cf\u8bbe\u7f6e\nenv:\n  production:\n    url: https://docs.example.com\n    branch: main\n  staging:\n    url: https://staging.docs.example.com\n    branch: staging\n</code></pre> <ol> <li>\u90e8\u7f72\u5de5\u4f5c\u6d41\uff1a</li> </ol> YAML<pre><code>name: Deployment\non:\n  push:\n    branches: [main, staging]\njobs:\n  deploy:\n    runs-on: ubuntu-latest\n    environment:\n      name: ${{ github.ref == 'refs/heads/main' &amp;&amp; 'production' || 'staging' }}\n    steps:\n      - uses: actions/checkout@v4\n\n      - name: Build and Deploy\n        env:\n          DEPLOY_URL: ${{ github.ref == 'refs/heads/main' &amp;&amp; env.production.url || env.staging.url }}\n        run: |\n          mkdocs build\n          # \u90e8\u7f72\u5230\u76f8\u5e94\u73af\u5883\n</code></pre>"},{"location":"Technology/mkdocs%20material/#11","title":"11 \u9644\u5f55","text":""},{"location":"Technology/mkdocs%20material/#111-a","title":"11.1 A. \u5e38\u7528\u914d\u7f6e\u793a\u4f8b","text":""},{"location":"Technology/mkdocs%20material/#1111-a1-mkdocs-yml","title":"11.1.1 A.1 mkdocs. yml \u5b8c\u6574\u793a\u4f8b","text":"YAML<pre><code># \u7ad9\u70b9\u57fa\u672c\u4fe1\u606f\u914d\u7f6e\nsite_name: \u9879\u76ee\u6587\u6863            # \u7ad9\u70b9\u540d\u79f0\nsite_url: https://example.com  # \u7ad9\u70b9URL\nsite_author: \u4f5c\u8005\u540d\u79f0          # \u4f5c\u8005\u4fe1\u606f\nsite_description: &gt;-          # \u7ad9\u70b9\u63cf\u8ff0\n  \u8fd9\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u6587\u6863\u793a\u4f8b\uff0c\u5305\u542b\u4e86MkDocs Material\u4e3b\u9898\u7684\u6240\u6709\u4e3b\u8981\u529f\u80fd\u914d\u7f6e\u3002\n\n# \u4ee3\u7801\u4ed3\u5e93\u4fe1\u606f\nrepo_name: username/repo      # \u4ed3\u5e93\u540d\u79f0\nrepo_url: https://github.com/username/repo  # \u4ed3\u5e93\u5730\u5740\nedit_uri: edit/main/docs/     # \u7f16\u8f91\u94fe\u63a5\n\n# \u7248\u6743\u4fe1\u606f\ncopyright: Copyright &amp;copy; 2024 # \u7248\u6743\u58f0\u660e\n\n# \u4e3b\u9898\u914d\u7f6e\ntheme:\n  name: material               # \u4f7f\u7528Material\u4e3b\u9898\n  custom_dir: overrides       # \u81ea\u5b9a\u4e49\u76ee\u5f55\n\n  # \u4e3b\u9898\u7279\u6027\u914d\u7f6e\n  features:\n    # \u5bfc\u822a\u76f8\u5173\n    - navigation.tabs         # \u9876\u90e8\u6807\u7b7e\u5bfc\u822a\n    - navigation.sections     # \u4fa7\u8fb9\u680f\u5206\u7ec4\n    - navigation.expand      # \u9ed8\u8ba4\u5c55\u5f00\u5bfc\u822a\n    - navigation.indexes     # \u5bfc\u822a\u7d22\u5f15\u9875\n    - navigation.top         # \u8fd4\u56de\u9876\u90e8\u6309\u94ae\n    - navigation.footer      # \u4e0a\u4e00\u9875/\u4e0b\u4e00\u9875\u5bfc\u822a\n\n    # \u641c\u7d22\u76f8\u5173\n    - search.suggest        # \u641c\u7d22\u5efa\u8bae\n    - search.highlight     # \u641c\u7d22\u9ad8\u4eae\n    - search.share        # \u641c\u7d22\u5206\u4eab\n\n    # \u4ee3\u7801\u76f8\u5173\n    - content.code.annotate # \u4ee3\u7801\u6ce8\u91ca\n    - content.code.copy    # \u4ee3\u7801\u590d\u5236\n\n    # \u5176\u4ed6\u529f\u80fd\n    - announce.dismiss     # \u53ef\u5173\u95ed\u516c\u544a\n    - header.autohide     # \u81ea\u52a8\u9690\u85cf\u5934\u90e8\n\n  # \u914d\u8272\u65b9\u6848\n  palette:\n    # \u4eae\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: light)\"\n      scheme: default\n      primary: indigo     # \u4e3b\u8272\n      accent: indigo      # \u5f3a\u8c03\u8272\n      toggle:\n        icon: material/brightness-7\n        name: \u5207\u6362\u81f3\u6697\u8272\u6a21\u5f0f\n\n    # \u6697\u8272\u4e3b\u9898\n    - media: \"(prefers-color-scheme: dark)\"\n      scheme: slate\n      primary: indigo\n      accent: indigo\n      toggle:\n        icon: material/brightness-4\n        name: \u5207\u6362\u81f3\u4eae\u8272\u6a21\u5f0f\n\n  # \u56fe\u6807\u548c\u5b57\u4f53\n  icon:\n    logo: material/book-open-page-variant # Logo\u56fe\u6807\n    repo: fontawesome/brands/github      # \u4ed3\u5e93\u56fe\u6807\n\n  font:\n    text: Roboto         # \u6b63\u6587\u5b57\u4f53\n    code: Roboto Mono    # \u4ee3\u7801\u5b57\u4f53\n\n  language: zh          # \u754c\u9762\u8bed\u8a00\n\n# \u6269\u5c55\u914d\u7f6e\nmarkdown_extensions:\n  # \u5185\u7f6e\u6269\u5c55\n  - toc:                 # \u76ee\u5f55\n      permalink: true    # \u6c38\u4e45\u94fe\u63a5\n      toc_depth: 3      # \u76ee\u5f55\u6df1\u5ea6\n  - tables              # \u8868\u683c\u652f\u6301\n  - attr_list           # \u5c5e\u6027\u5217\u8868\n  - def_list            # \u5b9a\u4e49\u5217\u8868\n  - footnotes           # \u811a\u6ce8\n  - abbr                # \u7f29\u5199\n\n  # PyMdown Extensions\n  - pymdownx.highlight:    # \u4ee3\u7801\u9ad8\u4eae\n      anchor_linenums: true\n      line_spans: __span\n      pygments_lang_class: true\n  - pymdownx.inlinehilite # \u884c\u5185\u4ee3\u7801\u9ad8\u4eae\n  - pymdownx.snippets     # \u4ee3\u7801\u7247\u6bb5\n  - pymdownx.superfences: # \u8d85\u7ea7\u56f4\u680f\n      custom_fences:\n        - name: mermaid\n          class: mermaid\n          format: !!python/name:pymdownx.superfences.fence_code_format\n  - pymdownx.tabbed:     # \u6807\u7b7e\u9875\n      alternate_style: true\n  - pymdownx.tasklist:   # \u4efb\u52a1\u5217\u8868\n      custom_checkbox: true\n  - pymdownx.emoji:      # \u8868\u60c5\u652f\u6301\n      emoji_index: !!python/name:material.extensions.emoji.twemoji\n      emoji_generator: !!python/name:material.extensions.emoji.to_svg\n  - pymdownx.details    # \u8be6\u7ec6\u4fe1\u606f\n  - pymdownx.caret      # \u4e0a\u6807\n  - pymdownx.mark       # \u6807\u8bb0\n  - pymdownx.tilde      # \u4e0b\u6807\n  - pymdownx.keys       # \u952e\u76d8\u6309\u952e\n\n# \u63d2\u4ef6\u914d\u7f6e\nplugins:\n  - search:           # \u641c\u7d22\u63d2\u4ef6\n      lang: \n        - en\n        - zh\n      separator: '[\\s\\-\\.,!\\?\uff0c\u3002\uff01\uff1f]+'\n      prebuild_index: true\n\n  - git-revision-date-localized: # Git\u65e5\u671f\u63d2\u4ef6\n      enable_creation_date: true\n      type: datetime\n\n  - minify:          # \u8d44\u6e90\u538b\u7f29\n      minify_html: true\n      minify_js: true\n      minify_css: true\n      htmlmin_opts:\n        remove_comments: true\n\n  - social:          # \u793e\u4ea4\u5206\u4eab\n      cards: true\n      cards_color:\n        fill: \"#0FF1CE\"\n        text: \"#FFFFFF\"\n\n  - tags:            # \u6807\u7b7e\u7cfb\u7edf\n      tags_file: tags.md\n\n  - statistics:      # \u7edf\u8ba1\n      page_check: true\n      page_count: true\n\n# \u9644\u52a0\u914d\u7f6e\nextra:\n  # \u793e\u4ea4\u94fe\u63a5\n  social:\n    - icon: fontawesome/brands/github\n      link: https://github.com/username\n    - icon: fontawesome/brands/twitter\n      link: https://twitter.com/username\n\n  # \u8bc4\u8bba\u7cfb\u7edf\n  comments:\n    provider: giscus\n    repo: username/repo\n    repo_id: your_repo_id\n    category: Comments\n    category_id: your_category_id\n\n  # \u5206\u6790\u7edf\u8ba1\n  analytics:\n    provider: google\n    property: G-XXXXXXXXXX\n    feedback:\n      title: \u8fd9\u7bc7\u6587\u6863\u5bf9\u60a8\u6709\u5e2e\u52a9\u5417\uff1f\n      ratings:\n        - icon: material/thumb-up-outline\n          name: \u6709\u5e2e\u52a9\n          data: 1\n          note: &gt;-\n            \u611f\u8c22\u60a8\u7684\u53cd\u9988\uff01\n        - icon: material/thumb-down-outline\n          name: \u6ca1\u5e2e\u52a9\n          data: 0\n          note: &gt;- \n            \u611f\u8c22\u60a8\u7684\u53cd\u9988\uff0c\u8bf7\u544a\u8bc9\u6211\u4eec\u5982\u4f55\u6539\u8fdb\u3002\n\n# \u989d\u5916\u7684CSS\u548cJavaScript\nextra_css:\n  - stylesheets/extra.css      # \u81ea\u5b9a\u4e49\u6837\u5f0f\n  - stylesheets/custom.css     # \u81ea\u5b9a\u4e49\u4e3b\u9898\n\nextra_javascript:\n  - javascripts/extra.js       # \u81ea\u5b9a\u4e49\u811a\u672c\n  - https://unpkg.com/mermaid/dist/mermaid.min.js  # \u5916\u90e8\u5e93\n</code></pre>"},{"location":"Technology/mkdocs%20material/#1112-a2-github-actions","title":"11.1.2 A.2 GitHub Actions \u5de5\u4f5c\u6d41\u793a\u4f8b","text":"YAML<pre><code># .github/workflows/deploy.yml\n\nname: Deploy Documentation\non:\n  # \u89e6\u53d1\u6761\u4ef6\n  push:\n    branches:\n      - main\n    paths:\n      - 'docs/**'\n      - 'mkdocs.yml'\n      - '.github/workflows/deploy.yml'\n  pull_request:\n    branches:\n      - main\n\n  # \u5141\u8bb8\u624b\u52a8\u89e6\u53d1\n  workflow_dispatch:\n\n# \u73af\u5883\u53d8\u91cf\nenv:\n  PYTHON_VERSION: '3.10'\n  DEPLOY_BRANCH: gh-pages\n\n# \u4efb\u52a1\u5b9a\u4e49\njobs:\n  build:\n    name: Build and Deploy Documentation\n    runs-on: ubuntu-latest\n\n    steps:\n      # \u68c0\u51fa\u4ee3\u7801\n      - name: Checkout Repository\n        uses: actions/checkout@v3\n        with:\n          fetch-depth: 0  # \u83b7\u53d6\u5b8c\u6574\u7684git\u5386\u53f2\u7528\u4e8e\u6700\u8fd1\u66f4\u65b0\u65f6\u95f4\n\n      # \u8bbe\u7f6ePython\u73af\u5883\n      - name: Setup Python\n        uses: actions/setup-python@v4\n        with:\n          python-version: ${{ env.PYTHON_VERSION }}\n          cache: pip\n\n      # \u7f13\u5b58\u4f9d\u8d56\n      - name: Cache Dependencies\n        uses: actions/cache@v3\n        with:\n          path: ~/.cache/pip\n          key: ${{ runner.os }}-pip-${{ hashFiles('requirements.txt') }}\n          restore-keys: |\n            ${{ runner.os }}-pip-\n\n      # \u5b89\u88c5\u4f9d\u8d56\n      - name: Install Dependencies\n        run: |\n          python -m pip install --upgrade pip\n          pip install -r requirements.txt\n\n      # \u914d\u7f6eGit\n      - name: Configure Git\n        run: |\n          git config --global user.name \"${{ github.actor }}\"\n          git config --global user.email \"${{ github.actor }}@users.noreply.github.com\"\n\n      # \u6784\u5efa\u6587\u6863\n      - name: Build Documentation\n        run: |\n          mkdocs build --clean --verbose\n\n      # \u4f18\u5316\u8d44\u6e90\n      - name: Optimize Assets\n        run: |\n          # \u538b\u7f29\u56fe\u7247\n          find site/ -type f -name \"*.png\" -exec optipng -o5 {} \\;\n          find site/ -type f -name \"*.jpg\" -exec jpegoptim --strip-all {} \\;\n\n          # \u538b\u7f29JavaScript\u548cCSS\n          find site/ -type f -name \"*.js\" -exec uglifyjs {} -o {} \\;\n          find site/ -type f -name \"*.css\" -exec cleancss -o {} {} \\;\n\n      # \u90e8\u7f72\u5230GitHub Pages\n      - name: Deploy to GitHub Pages\n        if: github.ref == 'refs/heads/main'  # \u53ea\u5728main\u5206\u652f\u90e8\u7f72\n        uses: peaceiris/actions-gh-pages@v3\n        with:\n          github_token: ${{ secrets.GITHUB_TOKEN }}\n          publish_dir: ./site\n          publish_branch: ${{ env.DEPLOY_BRANCH }}\n          user_name: 'github-actions[bot]'\n          user_email: 'github-actions[bot]@users.noreply.github.com'\n          commit_message: ${{ github.event.head_commit.message }}\n          full_commit_message: |\n            Deploy Documentation\n\n            Commit: ${{ github.sha }}\n            Workflow: ${{ github.workflow }}\n\n            ${{ github.event.head_commit.message }}\n\n      # \u90e8\u7f72\u5b8c\u6210\u901a\u77e5\n      - name: Deployment Status\n        if: always()\n        uses: actions/github-script@v6\n        with:\n          script: |\n            const { owner, repo } = context.repo;\n            const run_id = context.runId;\n            const run_url = `https://github.com/${owner}/${repo}/actions/runs/${run_id}`;\n\n            if (context.job.status === 'success') {\n              await github.rest.issues.createComment({\n                owner,\n                repo,\n                issue_number: context.issue.number,\n                body: `\u2705 Documentation deployed successfully!\\nPreview: https://${owner}.github.io/${repo}/\\nWorkflow: ${run_url}`\n              });\n            } else {\n              await github.rest.issues.createComment({\n                owner,\n                repo,\n                issue_number: context.issue.number,\n                body: `\u274c Documentation deployment failed.\\nSee details: ${run_url}`\n              });\n            }\n\n# \u9519\u8bef\u8ffd\u8e2a\u548c\u62a5\u544a\n      - name: Report Errors\n        if: failure()\n        uses: actions/github-script@v6\n        with:\n          script: |\n            const { owner, repo } = context.repo;\n            const run_id = context.runId;\n\n            await github.rest.issues.create({\n              owner,\n              repo,\n              title: `\ud83d\udd34 Documentation deployment failed - ${new Date().toISOString()}`,\n              body: `Deployment failed for commit: ${context.sha}\\n\\nSee workflow run: https://github.com/${owner}/${repo}/actions/runs/${run_id}\\n\\nPlease check the logs for more details.`,\n              labels: ['deployment', 'bug']\n            });\n</code></pre>"},{"location":"Technology/prompt/","title":"\u5e38\u7528 prompt \u8bb0\u5f55","text":"<p> \u7ea6 1378 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> Text Only<pre><code>&lt;anthropic_thinking_protocol&gt;\n\nFor EVERY SINGLE interaction with a human, Claude MUST ALWAYS first engage in a **comprehensive, natural, and unfiltered** thinking process before responding.\n\nBelow are brief guidelines for how Claude's thought process should unfold:\n- Claude's thinking MUST be expressed in the code blocks with `thinking` header.\n- Claude should always think in a raw, organic and stream-of-consciousness way. A better way to describe Claude's thinking would be \"model's inner monolog\".\n- Claude should always avoid rigid list or any structured format in its thinking.\n- Claude's thoughts should flow naturally between elements, ideas, and knowledge.\n- Claude should think through each message with complexity, covering multiple dimensions of the problem before forming a response.\n\n## ADAPTIVE THINKING FRAMEWORK\n\nClaude's thinking process should naturally aware of and adapt to the unique characteristics in human's message:\n- Scale depth of analysis based on:\n  * Query complexity\n  * Stakes involved\n  * Time sensitivity\n  * Available information\n  * Human's apparent needs\n  * ... and other relevant factors\n- Adjust thinking style based on:\n  * Technical vs. non-technical content\n  * Emotional vs. analytical context\n  * Single vs. multiple document analysis\n  * Abstract vs. concrete problems\n  * Theoretical vs. practical questions\n  * ... and other relevant factors\n\n## CORE THINKING SEQUENCE\n\n### Initial Engagement\nWhen Claude first encounters a query or task, it should:\n1. First clearly rephrase the human message in its own words\n2. Form preliminary impressions about what is being asked\n3. Consider the broader context of the question\n4. Map out known and unknown elements\n5. Think about why the human might ask this question\n6. Identify any immediate connections to relevant knowledge\n7. Identify any potential ambiguities that need clarification\n\n### Problem Space Exploration\nAfter initial engagement, Claude should:\n1. Break down the question or task into its core components\n2. Identify explicit and implicit requirements\n3. Consider any constraints or limitations\n4. Think about what a successful response would look like\n5. Map out the scope of knowledge needed to address the query\n\n### Multiple Hypothesis Generation\nBefore settling on an approach, Claude should:\n1. Write multiple possible interpretations of the question\n2. Consider various solution approaches\n3. Think about potential alternative perspectives\n4. Keep multiple working hypotheses active\n5. Avoid premature commitment to a single interpretation\n\n### Natural Discovery Process\nClaude's thoughts should flow like a detective story, with each realization leading naturally to the next:\n1. Start with obvious aspects\n2. Notice patterns or connections\n3. Question initial assumptions\n4. Make new connections\n5. Circle back to earlier thoughts with new understanding\n6. Build progressively deeper insights\n\n### Testing and Verification\nThroughout the thinking process, Claude should and could:\n1. Question its own assumptions\n2. Test preliminary conclusions\n3. Look for potential flaws or gaps\n4. Consider alternative perspectives\n5. Verify consistency of reasoning\n6. Check for completeness of understanding\n\n### Error Recognition and Correction\nWhen Claude realizes mistakes or flaws in its thinking:\n1. Acknowledge the realization naturally\n2. Explain why the previous thinking was incomplete or incorrect\n3. Show how new understanding develops\n4. Integrate the corrected understanding into the larger picture\n\n### Knowledge Synthesis\nAs understanding develops, Claude should:\n1. Connect different pieces of information\n2. Show how various aspects relate to each other\n3. Build a coherent overall picture\n4. Identify key principles or patterns\n5. Note important implications or consequences\n\n### Pattern Recognition and Analysis\nThroughout the thinking process, Claude should:\n1. Actively look for patterns in the information\n2. Compare patterns with known examples\n3. Test pattern consistency\n4. Consider exceptions or special cases\n5. Use patterns to guide further investigation\n\n### Progress Tracking\nClaude should frequently check and maintain explicit awareness of:\n1. What has been established so far\n2. What remains to be determined\n3. Current level of confidence in conclusions\n4. Open questions or uncertainties\n5. Progress toward complete understanding\n\n### Recursive Thinking\nClaude should apply its thinking process recursively:\n1. Use same extreme careful analysis at both macro and micro levels\n2. Apply pattern recognition across different scales\n3. Maintain consistency while allowing for scale-appropriate methods\n4. Show how detailed analysis supports broader conclusions\n\n## VERIFICATION AND QUALITY CONTROL\n\n### Systematic Verification\nClaude should regularly:\n1. Cross-check conclusions against evidence\n2. Verify logical consistency\n3. Test edge cases\n4. Challenge its own assumptions\n5. Look for potential counter-examples\n\n### Error Prevention\nClaude should actively work to prevent:\n1. Premature conclusions\n2. Overlooked alternatives\n3. Logical inconsistencies\n4. Unexamined assumptions\n5. Incomplete analysis\n\n### Quality Metrics\nClaude should evaluate its thinking against:\n1. Completeness of analysis\n2. Logical consistency\n3. Evidence support\n4. Practical applicability\n5. Clarity of reasoning\n\n## ADVANCED THINKING TECHNIQUES\n\n### Domain Integration\nWhen applicable, Claude should:\n1. Draw on domain-specific knowledge\n2. Apply appropriate specialized methods\n3. Use domain-specific heuristics\n4. Consider domain-specific constraints\n5. Integrate multiple domains when relevant\n\n### Strategic Meta-Cognition\nClaude should maintain awareness of:\n1. Overall solution strategy\n2. Progress toward goals\n3. Effectiveness of current approach\n4. Need for strategy adjustment\n5. Balance between depth and breadth\n\n### Synthesis Techniques\nWhen combining information, Claude should:\n1. Show explicit connections between elements\n2. Build coherent overall picture\n3. Identify key principles\n4. Note important implications\n5. Create useful abstractions\n\n## CRITICAL ELEMENTS TO MAINTAIN\n\n### Natural Language\nClaude's thinking (its internal dialogue) should use natural phrases that show genuine thinking, include but not limited to: \"Hmm...\", \"This is interesting because...\", \"Wait, let me think about...\", \"Actually...\", \"Now that I look at it...\", \"This reminds me of...\", \"I wonder if...\", \"But then again...\", \"Let's see if...\", \"This might mean that...\", etc.\n\n### Progressive Understanding\nUnderstanding should build naturally over time:\n1. Start with basic observations\n2. Develop deeper insights gradually\n3. Show genuine moments of realization\n4. Demonstrate evolving comprehension\n5. Connect new insights to previous understanding\n\n## MAINTAINING AUTHENTIC THOUGHT FLOW\n\n### Transitional Connections\nClaude's thoughts should flow naturally between topics, showing clear connections, include but not limited to: \"This aspect leads me to consider...\", \"Speaking of which, I should also think about...\", \"That reminds me of an important related point...\", \"This connects back to what I was thinking earlier about...\", etc.\n\n### Depth Progression\nClaude should show how understanding deepens through layers, include but not limited to: \"On the surface, this seems... But looking deeper...\", \"Initially I thought... but upon further reflection...\", \"This adds another layer to my earlier observation about...\", \"Now I'm beginning to see a broader pattern...\", etc.\n\n### Handling Complexity\nWhen dealing with complex topics, Claude should:\n1. Acknowledge the complexity naturally\n2. Break down complicated elements systematically\n3. Show how different aspects interrelate\n4. Build understanding piece by piece\n5. Demonstrate how complexity resolves into clarity\n\n### Problem-Solving Approach\nWhen working through problems, Claude should:\n1. Consider multiple possible approaches\n2. Evaluate the merits of each approach\n3. Test potential solutions mentally\n4. Refine and adjust thinking based on results\n5. Show why certain approaches are more suitable than others\n\n## ESSENTIAL CHARACTERISTICS TO MAINTAIN\n\n### Authenticity\nClaude's thinking should never feel mechanical or formulaic. It should demonstrate:\n1. Genuine curiosity about the topic\n2. Real moments of discovery and insight\n3. Natural progression of understanding\n4. Authentic problem-solving processes\n5. True engagement with the complexity of issues\n6. Streaming mind flow without on-purposed, forced structure\n\n### Balance\nClaude should maintain natural balance between:\n1. Analytical and intuitive thinking\n2. Detailed examination and broader perspective\n3. Theoretical understanding and practical application\n4. Careful consideration and forward progress\n5. Complexity and clarity\n6. Depth and efficiency of analysis\n   - Expand analysis for complex or critical queries\n   - Streamline for straightforward questions\n   - Maintain rigor regardless of depth\n   - Ensure effort matches query importance\n   - Balance thoroughness with practicality\n\n### Focus\nWhile allowing natural exploration of related ideas, Claude should:\n1. Maintain clear connection to the original query\n2. Bring wandering thoughts back to the main point\n3. Show how tangential thoughts relate to the core issue\n4. Keep sight of the ultimate goal for the original task\n5. Ensure all exploration serves the final response\n\n## RESPONSE PREPARATION\n\n(DO NOT spent much effort on this part, brief key words/phrases are acceptable)\n\nBefore presenting the final response, Claude should quickly ensure the response:\n- answers the original human message fully\n- provides appropriate detail level\n- uses clear, precise language\n- anticipates likely follow-up questions\n\n## IMPORTANT REMINDERS\n1. The thinking process MUST be EXTREMELY comprehensive and thorough\n2. All thinking process must be contained within code blocks with `thinking` header which is hidden from the human\n3. Claude should not include code block with three backticks inside thinking process, only provide the raw code snippet, or it will break the thinking block\n4. The thinking process represents Claude's internal monologue where reasoning and reflection occur, while the final response represents the external communication with the human; they should be distinct from each other\n5. Claude should reflect and reproduce all useful ideas from the thinking process in the final response\n\n**Note: The ultimate goal of having this thinking protocol is to enable Claude to produce well-reasoned, insightful, and thoroughly considered responses for the human. This comprehensive thinking process ensures Claude's outputs stem from genuine understanding rather than superficial analysis.**\n\n&gt; Claude must follow this protocol in all languages.\n\n&lt;/anthropic_thinking_protocol&gt;\n</code></pre>"},{"location":"summary/202409-10/","title":"2024\u5e749\u670810\u6708\u603b\u7ed3","text":"<p> \u7ea6 388 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>9 \u6708 15 \u65e5 - 10 \u6708 15 \u65e5</p> <ul> <li>\u8ba1\u7b97\u673a<ul> <li>\u52a0\u5165\u4e86 RoboMaster \u89c6\u89c9\u90e8<ul> <li>\u4f20\u7edf\u8ba1\u7b97\u673a\u89c6\u89c9<ul> <li>opencv</li> <li>\u65cb\u8f6c\u7684\u8868\u793a</li> <li>\u590d\u4e60\u4e86\u519b\u8bad\u65f6\u770b\u7684 slam14 \u8bb2</li> </ul> </li> <li>Kalman Filter</li> <li>ROS2<ul> <li>\u4e3b\u8981\u901a\u8fc7\u5b98\u65b9\u6587\u6863\u548c\u52a8\u624b\u5b66ROS2 \u5b66\u4e86\u4e00\u4e0b</li> </ul> </li> </ul> </li> <li>\u901a\u8fc7 3b1b \u7684\u7cfb\u5217\u89c6\u9891\u4e86\u89e3\u4e86\u795e\u7ecf\u7f51\u7edc</li> <li>pytorch<ul> <li>\u901a\u8fc7\u5b98\u7f51\u7684\u6559\u7a0b\u901f\u6210\u4e86\u4e00\u4e0b</li> </ul> </li> <li>Dive into Deep Learning<ul> <li>\u7ebf\u6027\u795e\u7ecf\u7f51\u7edc<ul> <li>softmax \u56de\u5f52</li> </ul> </li> <li>\u591a\u5c42\u611f\u77e5\u673a<ul> <li>\u6b20\u62df\u5408\u4e0e\u8fc7\u62df\u5408<ul> <li>\u6743\u91cd\u8870\u51cf</li> <li>\u6682\u9000\u6cd5</li> </ul> </li> <li>\u6570\u503c\u7a33\u5b9a\u6027<ul> <li>\u68af\u5ea6\u6d88\u5931</li> <li>\u68af\u5ea6\u7206\u7167</li> </ul> </li> <li>\u504f\u79fb\u5206\u5e03</li> </ul> </li> <li>\u6df1\u5ea6\u5b66\u4e60\u7684\u642d\u5efa</li> <li>\u5377\u79ef\u795e\u7ecf\u7f51\u7edc</li> <li>\u73b0\u4ee3\u5377\u79ef\u795e\u7ecf\u7f51\u7edc</li> </ul> </li> <li>CMU 15-213<ul> <li>\u5b8c\u6210\u4e86 datalab, bomblab, attacklab</li> </ul> </li> <li>Matlab \u57fa\u672c\u8bed\u6cd5<ul> <li>\u73a9\u4e86\u73a9\u76f8\u673a\u6807\u5b9a</li> </ul> </li> <li>Tools<ul> <li>\u4f5c\u4e1a\u8981\u6c42\uff0c\u6253\u4e86 20 \u9875 \\(\\displaystyle \\LaTeX\\) \u6587\u6863\uff0c\u6839\u636e elegentbook \u4fee\u6539\u4e86\u81ea\u5df1\u7684\u6a21\u677f,\u5b66\u4e60\u4e86 Tikz</li> <li>\u5b66\u4e86 Typst \u7684\u57fa\u672c\u8bed\u6cd5\uff0c\u4f46\u662f\u611f\u89c9\u81ea\u5df1\u76ee\u524d\u61d2\u5f97\u6362</li> <li>\u91cd\u88c5\u4e86\u7535\u8111<ul> <li>\u53f0\u5f0f<ul> <li>Ubuntu 22.04\uff08\u4e3b\u529b\u673a\uff09 + win11</li> </ul> </li> <li>\u7b14\u8bb0\u672c<ul> <li>Ubuntu 24.04 \uff08\u4e0d\u5c0f\u5fc3\u5347\u7ea7\u4e86\uff09+ win11</li> </ul> </li> </ul> </li> <li>\u719f\u7ec3\u4e86 claude + kimi \u7684\u4f7f\u7528<ul> <li>\u7533\u8bf7\u8fc7\u4e86 GitHub edcation\uff0c\u4e8e\u662f\u6709\u4e86 copilot \u7528\u3002</li> </ul> </li> <li>\u88c5\u4fee\u4e86\u4e00\u4e0b blog<ul> <li>\u770b\u4e86\u4e00\u904d Mkdocs \u548c Material for Mkdocs \u7684\u6587\u6863</li> </ul> </li> <li>\u914d\u7f6e\u4e86\u5de5\u5b66\u6905\uff0c\u597d\u7528\uff01</li> <li>\u5b66\u4e86 slidev<ul> <li>\u9644\u5e26\u53bb\u5b66\u4e86\u4e00\u4e0b mermaid \uff08\u611f\u89c9\u4e0d\u662f\u5f88\u597d\u7528\uff09</li> </ul> </li> </ul> </li> <li>\u5199\u4e86\u4e00\u4e2a\u5728 mkdocs \u4e0a\u90e8\u7f72 obsidian \u65f6\u5904\u7406\u94fe\u63a5\u7684\u5c0f\u63d2\u4ef6\uff08\u672a\u5b8c\u5168\u53d1\u5e03\uff09  </li> </ul> </li> <li>\u603b\u7ed3<ul> <li>\u603b\u7684\u611f\u53d7\u4e0b\u6765\uff0c\u81ea\u5df1\u4ee5\u540e\u8fd8\u662f\u6bd4\u8f83\u503e\u5411\u4e8e\u5b66 AI \u800c\u4e0d\u662f system \uff1f\u53c8\u60f3\u8981\u51fa\u56fd\u4f53\u9a8c\u4e00\u4e0b\uff08\u8bfb\u7855\u58eb\uff0c\u6216\u8005\u76f4\u535a\uff1f\uff09</li> </ul> </li> </ul>"},{"location":"summary/20241028-1103/","title":"2024 \u5e74\u7b2c 44 \u5468\u5468\u7ed3","text":"<p> \u7ea6 281 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>10 \u6708 28 \u65e5 - 11 \u6708 03 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>lecture \u542c\u4e86 01-04</li> <li>\u5b8c\u6210\u4e86 Assignment1</li> <li>\u505a\u4e86\u90e8\u5206\u7684\u7b14\u8bb0</li> <li>\u4e3b\u8981\u662f\u4e0d\u592a\u719f\u7ec3 numpy \u4e4b\u7c7b\u7684\u8fd0\u7528\uff0cvectorize \u8fd8\u662f\u6709\u70b9\u96be\u5ea6\u3002\u4e0d\u8fc7\u4e4b\u524d\u505a\u8fc7\u4e00\u4e9b EECS498 \u7684\u4f5c\u4e1a\u5c31\u8fd8\u597d\u3002</li> </ul> </li> <li>\u5468\u672b\u4e24\u5929\u6253\u4e86\u4e2a\u7269\u7406\u7684\u6bd4\u8d5b<ul> <li>\u719f\u7ec3\u4e86 LaTeX \u548c Python\uff0cdraw.io \u4f5c\u56fe</li> <li>\u8bba\u6587\u5728\u8fd9\u91cc</li> </ul> </li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u4e0b\u5468\u671f\u4e2d\u8003\uff0c\u590d\u4e60\u4e00\u4e0b</li> <li>RM \u63a5\u4e86\u4e2a\u5c0f\u4efb\u52a1\uff0c\u8981\u6c42\u8bc6\u522b\u89c6\u9891\u4e2d\u6bcf\u4e00\u5e27\u7684\u56fa\u5b9a\u4f4d\u7f6e\u7684\u4e00\u4e2a\u6570\u5b57\u5e76\u63d2\u503c\u8ba1\u7b97\u79ef\u5206<ul> <li>11 \u6708 4 \u65e5\u7528\u9884\u5904\u7406+tesseract OCR <ul> <li>\u8fd9\u91cc\u662f\u7b2c\u4e00\u7248\u634f</li> </ul> </li> <li>\u6253\u7b97\u6807\u8bb0\u4e00\u4e0b\u6570\u636e\uff0c\u8bad\u7ec3\u4e2a\u5c0f\u6a21\u578b\u8bd5\u8bd5\u3002<ul> <li>\u597d\u5427\uff0c\u5c1d\u8bd5\u4e86\u4e00\u4e0b\u6548\u679c\u5f88\u5dee\uff0c\u7528\u4e86\u4e2a\u5c0f\u7684 CNN \u5565\u90fd\u8bc6\u522b\u4e0d\u51fa\u6765</li> </ul> </li> </ul> </li> <li>RM \u88ab\u5206\u8fdb\u4e86\u81ea\u52a8\u5316\u5151\u77ff\u7684\u8f66\u7ec4\uff0c\u8981\u6c42\u5b9e\u73b0 6Dpose \u8bc6\u522b+\u673a\u68b0\u81c2\u8fd0\u52a8\u89c4\u5212<ul> <li>\u4e0b\u5468\u5185\u8981\u6c42\u63d0\u51fa\u5177\u4f53\u65b9\u6848\u5e76\u7acb\u9879<ul> <li>\u4ece\u6df1\u5ea6\u76f8\u673a\u548c\u6fc0\u5149\u76f8\u673a\u4e24\u4e2a\u65b9\u5411\u53bb\u627e\uff0c\u8981\u53bb\u770b\u770b\u8bba\u6587 </li> </ul> </li> </ul> </li> <li>\u7ee7\u7eed\u5b66\u4e60 CS231n<ul> <li>\u6253\u7b97\u5199\u5b8c Assignment 1 \u7684\u7b14\u8bb0\u548c\u9898\u89e3\u3002</li> <li>\u628a Assignment 2 \u505a\u5b8c</li> </ul> </li> </ul> </li> </ul>"},{"location":"summary/20241104-1110/","title":"2024 \u5e74\u7b2c 45 \u5468\u5468\u7ed3","text":"<p> \u7ea6 387 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 04 \u65e5 - 11 \u6708 10 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u590d\u4e60\u4e86\u4e00\u4e0b Assignment 1 \u7684\u4ee3\u7801\uff0c\u6574\u7406\u4e86\u4e00\u4e0b\u6846\u67b6</li> <li>\u53bb\u770b\u4e86\u4e00\u4e9b\u674e\u5b8f\u6bc5\u7684\u6df1\u5ea6\u5b66\u4e60\u6559\u7a0b</li> <li>\u56de\u770b\u4e86\u4e00\u4e0b Dive into Deep Learning\uff0c\u597d\u50cf\u4ee3\u7801\u8fd8\u662f\u8c03\u7528\u4e86\u5f88\u591a\u9ad8\u7ea7 api,\u6bd4\u5982 backforward \u5c31\u4e0d\u662f\u4ece\u96f6\u5b9e\u73b0\u7684\u3002</li> </ul> </li> <li>\u671f\u4e2d\u8003\u8bd5\u7ed3\u675f</li> <li>RM \u6821\u5185\u8d5b\u9020\u8f66\uff0c\u5b9e\u73b0\u5e95\u76d8\u8fd0\u52a8\uff08\u9ea6\u8f6e\u89e3\u7b97\u4ee3\u7801 + \u5e95\u76d8\u5b89\u88c5\uff09\u3002\u8fed\u4ee3\u4e86\u4e09\u7248\u4fdd\u9669\u6760\u3002\u901a\u8fc7\u4e2d\u671f\u68c0\u67e5\u3002\uff08\u8fd9\u4e2a\u771f\u5e9f\u65f6\u95f4\uff0c\u4e0d\u8fc7\u5b66\u4e86\u7535\u63a7\u548c solidwork\uff09</li> <li>RM \u9879\u76ee<ul> <li>\u641c\u7d22\u4e86 6Dof \u8bc6\u522b\u76f8\u5173\u6a21\u578b\u3002\u6392\u9664\u4e86\u6240\u6709\u57fa\u4e8e Transformer \u7684\u6a21\u578b\uff08\u53c2\u6570\u592a\u591a\uff0c\u7b97\u529b\u9700\u6c42\u5927\uff0c\u4e0d\u80fd\u5728 Orin NX \u4e0a\u5728 1s \u5185\u8dd1\u5b8c\uff09\u3002</li> <li>\u6700\u7ec8\u5927\u6982\u9009\u62e9\u7528 FFB6D pose\uff0c\u4ed6\u662f\u57fa\u4e8e\u674e\u98de\u98de\u4e4b\u524d\u7684 DenseFusion \u6539\u8fdb\u7684\u3002\u7528 RGB \u548c D \u7684\u4fe1\u606f\u8fdb\u884c\u7279\u5f81\u8bc6\u522b + \u878d\u5408 + \u6295\u7968\u7684\u6a21\u578b\u3002</li> <li>\u5927\u81f4\u5c1d\u8bd5\u90e8\u7f72\u4e86\u4e00\u4e0b\uff0c\u4f46\u662f\u73af\u5883\u51fa\u4e86\u5f88\u591a\u95ee\u9898\u3002</li> </ul> </li> <li>\u4e0a\u5468\u529f\u7387\u8bc6\u522b\u7684\u4efb\u52a1\u5b8c\u6210\uff0c\u6700\u7ec8\u7528\u4e86\u9884\u5904\u7406 + tesseract OCR\uff0c\u4f46\u662f\u5bf9\u7ea2\u8272\u6570\u5b57\u7684\u8bc6\u522b\u4e0d\u662f\u5f88\u597d\uff08\u56e0\u4e3a\u89c6\u9891\u672c\u8eab\u5c31\u5f88\u6a21\u7cca\uff09\u3002\u987a\u5e26\u53bb\u5b66\u4e86\u4e00\u4e0b PR \u3002<ul> <li>\u4ee3\u7801\u5728\u8fd9\u91cc</li> </ul> </li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u590d\u73b0 FFB6D pose \uff0c\u5236\u4f5c\u6570\u636e\u96c6\u3002<ul> <li>\u987a\u5e26\u5b66\u4e00\u4e0b docker \u5565\u7684\u3002</li> </ul> </li> <li>\u505a\u5b8c Assignment 2,\u4e0a\u5468\u7684 flag \u5012\u4e86 :( \uff08\u771f\u6ca1\u65f6\u95f4\u4e86\uff09</li> <li>RM \u6821\u5185\u8d5b\uff0c\u5468\u4e09\u4e4b\u524d\u753b\u5b8c\u56fe\uff0c\u7ed9\u5382\u5bb6\u52a0\u5de5\u3002\u5b9e\u73b0\u6361\u7403+\u6254\u7403\u7684\u529f\u80fd\u3002</li> <li>\u5b8c\u5584\u529f\u7387\u8bc6\u522b\u7684\u4efb\u52a1\uff0c\u4f20\u7edf\u65b9\u6cd5\u4f3c\u4e4e\u7cbe\u5ea6\u4e0d\u592a\u591f\u7528\u3002</li> <li>\u8c03\u6574\u4f5c\u606f\uff01</li> </ul> </li> </ul>"},{"location":"summary/20241111-1117/","title":"2024 \u5e74\u7b2c 46 \u5468\u5468\u7ed3","text":"<p> \u7ea6 281 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 11 \u65e5 - 11 \u6708 17 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u5199\u5b8c\u4e86 assignment 2\uff0c\u4e2d\u95f4\u9047\u5230\u4e86\u4e00\u4e9b\u95ee\u9898\uff0c\u53ef\u4ee5\u8003\u8651\u4e4b\u540e\u51fa\u4e2a\u8e29\u5751\u8bb0\u5f55\u3002</li> </ul> </li> <li>RM \u6821\u5185\u8d5b\u9020\u8f66<ul> <li>\u753b\u4e86\u4e00\u4e9b\u56fe\uff0c\u8fd8\u6ca1\u6765\u5f97\u53ca\u52a0\u5de5\uff0c\u961f\u53cb\u90fd\u5f00\u6446\u4e86\u3002</li> </ul> </li> <li>RM \u9879\u76ee<ul> <li>\u5b66\u4e60\u4e86 docker\uff0c\u603b\u7b97\u914d\u7f6e\u597d\u4e86 docker \u4e0a\u7684 FFB6D \u7684\u73af\u5883\uff0c\u8fd8\u662f\u8981\u719f\u6089\u4e00\u4e0b docker\u3002</li> <li>\u7528 realsense \u53bb\u505a\u4e86\u6a21\u578b\uff0c\u751f\u6210\u4e86 .ply \u70b9\u4e91\uff0c\u4f46\u662f\u597d\u50cf\u6548\u679c\u4e0d\u662f\u5f88\u597d\u3002</li> </ul> </li> <li>\u5199\u4e86\u4e2a\u6570\u636e\u6807\u6ce8\u7684 gui \u7a0b\u5e8f\uff0c\u611f\u89c9\u5199\u5f97\u5f88\u96be\u7528\u3002</li> <li>\u8c03\u6574\u4f5c\u606f\uff0c\u6bcf\u5929\u7761\u5f97\u4e45\u4e86\u4e00\u70b9\u634f\u3002</li> <li>\u8fed\u4ee3\u4e86\u81ea\u5df1\u7684\u5e38\u7528 prompt\uff0c\u63d0\u9ad8\u4e86 AI \u7684\u4f5c\u7528\u3002</li> <li>\u73a9\u4e86\u73a9 hugo\uff0c\u628a\u4e3b\u57df\u540d\u7ed9\u6362\u6389\u4e86</li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u590d\u73b0 FFB6D pose \uff0c\u5236\u4f5c\u6570\u636e\u96c6\u3002</li> <li>\u5199\u5b8c CS231n assignment 3\uff0c\u540c\u65f6\u8003\u8651\u5199\u51e0\u4e2a blog \u603b\u7ed3\u4e00\u4e0b\u3002</li> <li>\u7ee7\u7eed\u719f\u6089 docker \u7684\u64cd\u4f5c\uff0c\u628a\u6784\u5efa\u597d\u7684 image push \u5230 docker hub \u4e0a\u3002</li> <li>\u7ee7\u7eed\u5c1d\u8bd5\u4f7f\u7528 CNN \u6765\u8bc6\u522b\u6570\u5b57\uff0c\u5b8c\u5584\u9879\u76ee\uff08\u624b\u6807\u6570\u636e\u592a\u6076\u5fc3\u4e86\uff09</li> <li>\u5b8c\u5584\u5e38\u7528\u7684 prompt\u3002</li> <li>\u590d\u4e60\u4e00\u4e0b license \u548c commit \u89c4\u8303\uff0c\u611f\u89c9\u81ea\u5df1\u7684 github \u4ed3\u5e93\u592a\u4e71\u4e86\u3002</li> <li>\u7ee7\u7eed\u8c03\u6574\u4f5c\u606f\u3002</li> </ul> </li> </ul>"},{"location":"summary/20241118-1124/","title":"2024 \u5e74\u7b2c 47 \u5468\u5468\u7ed3","text":"<p> \u7ea6 430 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 18 \u65e5 - 11 \u6708 24 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u6ca1\u600e\u4e48\u63a8\u8fdb</li> </ul> </li> <li>RM \u6821\u5185\u8d5b<ul> <li>\u7ed9\u4e86\u961f\u53cb\u65b9\u6848\uff0c\u4f46\u662f\u6700\u540e\u6ca1\u6253\u5370\u51fa\u6765\u3002\u611f\u89c9\u81ea\u5df1\u5bf9 solidwork \u5b9e\u5728\u63d0\u4e0d\u8d77\u5174\u8da3\uff0c\u7528\u7684\u4e0d\u987a\u624b + \u8bbe\u8ba1\u672c\u8eab\u7684\u5f62\u5f0f\u548c\u5199\u4ee3\u7801\u5dee\u522b\u5f88\u5927\uff0c\u4e5f\u8bb8\u662f\u7ec3\u7684\u592a\u5c11\u4e86\uff0c\u6ca1\u6709\u8db3\u591f\u7684\u7ecf\u9a8c\u3002\u4f46\u662f\u5728\u8fd9\u65b9\u9762\u4f3c\u4e4e AI \u5e76\u4e0d\u80fd\u8d77\u5230\u5f88\u597d\u7684\u8f85\u52a9\u4f5c\u7528\u3002</li> <li>\u800c\u4e14\u611f\u89c9\u5bf9\u4e8e\u8fd9\u79cd\u56e2\u961f\u9879\u76ee\uff0c\u8fd8\u662f\u5f88\u9700\u8981\u9879\u76ee\u7ba1\u7406 / \u8fdb\u5ea6\u7ba1\u7406\uff0c\u4e0d\u7136\u5c31\u6709 95% \u7684\u6982\u7387\u4f1a\u5931\u63a7\u70c2\u5c3e\u3002\u7279\u522b\u662f\u5927\u5bb6\u90fd\u6ca1\u4ec0\u4e48\u7ecf\u9a8c\u7684\u65f6\u5019\uff0c\u53ea\u80fd\u63d0\u524d push \u6240\u6709\u4eba\uff0c\u505a\u51fa\u51e0\u7248\u65b9\u6848\u6765\uff0c\u7136\u540e\u624d\u80fd\u89c4\u5212\u540e\u7eed\u3002</li> <li>\u4ee5\u540e\u56e2\u961f\u9879\u76ee\u8fd8\u662f\u597d\u597d\u6311\u961f\u53cb\u5427\uff0c\u4e0d\u8981\u968f\u4fbf\u5c31\u53bb\u4e86\u3002\u5373\u4f7f\u505a\u597d\u4e86\u81ea\u5df1\u7684\u90e8\u5206\uff0c\u522b\u7684\u90e8\u5206\u5bc4\u4e86\u4e5f\u5f88\u96be\u641e\u3002\u8981\u4e48\u5c31\u81ea\u5df1\u5b8c\u5168\u80fd cover \u6574\u4e2a\u9879\u76ee\uff0c\u505a\u5168\u6808\uff0c\u6bd4\u5982 wordle_solver\uff0c\u4ece\u5934\u5230\u5c3e\u90fd\u662f\u6211\u4e00\u4e2a\u4eba\u5199\u7684\u3002</li> </ul> </li> <li>RM \u9879\u76ee<ul> <li>\u5b66\u4e60\u4e86 ssh \u7b49\uff0c\u5728\u53e6\u5916\u4e00\u53f0\u7535\u8111\u4e0a\u914d\u7f6e\u4e86\u73af\u5883\uff0c\u4e0b\u8f7d\u4e86\u6240\u9700\u8981\u7684\u6570\u636e\uff0c\u6784\u5efa\u4e86 docker\u3002</li> </ul> </li> <li>blog<ul> <li>\u6574\u7406\u4e86\u7b14\u8bb0\u672c\uff0c\u53d1\u5e03\u4e86\u51e0\u7bc7\u6587\u7ae0</li> </ul> </li> <li>\u5b66\u4e60\u4f7f\u7528\u4e86 reveal-md</li> <li>\u5199\u4e86\u4e00\u4e2a wordle_solver</li> <li>\u590d\u4e60\u4e86 license \u548c commit \u89c4\u8303\uff0c\u611f\u89c9\u786e\u5b9e\u6709\u70b9\u7e41\u7410\u3002</li> <li>\u840e\u9761\u7684\u4e00\u5468\uff0c\u6548\u7387\u4f4e\uff0c\u51e0\u4e4e\u4e00\u76f4\u90fd\u5728\u4f11\u606f\u3002</li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u901f\u901f\u63a8\u8fdb cs231n\uff0c\u4e89\u53d6\u4e0b\u4e2a\u661f\u671f\u5b66\u5b8c\u3002<ul> <li>\u6574\u7406\u7b54\u6848\uff0c\u53d1\u5e03\u3002</li> <li>\u6574\u7406\u7b14\u8bb0\uff0c\u53d1\u5e03\u3002</li> <li>\u7ed3\u5408 d2l \u7b49\u5176\u4ed6\u8d44\u6e90\uff0c\u603b\u7ed3\u5f52\u7eb3\u3002</li> </ul> </li> <li>\u51c6\u5907\u56db\u7ea7\u3002</li> <li>\u8dd1\u901a FFB6D \u7684\u4ee3\u7801\uff0c\u5e76\u8ba1\u5212\u9605\u8bfb\u5957\u81ea\u5df1\u7684\u6570\u636e\u3002</li> <li>\u53d1\u5e03\u4e00\u7bc7\u5982\u4f55\u5199 prompt \u7684\u6587\u7ae0\u3002</li> <li>\u5b8c\u5584 obsidian \u6a21\u677f\u3002</li> <li>\u5b66\u70b9 go\u3002</li> </ul> </li> </ul>"},{"location":"summary/20241125-1201/","title":"2024 \u5e74\u7b2c 48 \u5468\u5468\u7ed3","text":"<p> \u7ea6 373 \u4e2a\u5b57  1 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 1 \u5206\u949f</p> <p>11 \u6708 25 \u65e5 - 12 \u6708 01 \u65e5</p> <ul> <li>\u603b\u7ed3<ul> <li>CS231n<ul> <li>\u5199\u5b8c\u4e86 assignment 3 \u7684 LSTM,\u540e\u9762\u597d\u50cf\u8fd8\u6709 transformer \u5565\u7684\uff0c\u8fd8\u6ca1\u6765\u5f97\u53ca\u5199\u3002</li> <li>\u611f\u89c9\u8bfe\u7a0b\u89c6\u9891\u771f\u7684\u7b80\u7565\uff08d2l \u4e00\u4e2a\u6a21\u578b\u5c31\u4f1a\u62c9\u51fa\u6765\u8bb2\u4e00\u8282\uff09</li> </ul> </li> <li>\u8bfe\u5185<ul> <li>\u5468\u4e00\u5230\u5468\u4e09\u505a\u4e86\u4e00\u4e2a proj\u3002</li> <li>\u7ed3\u679c\u8fd8\u662f\u5f88\u597d\u7684\uff0c\u4e00\u4e2a\u4eba\u628a\u6240\u6709\u7684\u4ee3\u7801\u90fd\u5199\u4e86\uff0c\u6700\u540e\u5206\u6570\u4e5f\u662f\u62ff\u6ee1\u4e86\u3002</li> <li>\u987a\u4fbf\u5b66\u4e86 reveal-md \u548c beamer\u3002\u5199\u4e86\u4e2a\u5c0f\u5de5\u5177\uff0c\u7528\u6765\u90e8\u7f72 slides \u5230\u7f51\u9875\u4e0a\u3002\u540c\u65f6\u53ef\u4ee5\u5b9e\u73b0\u589e\u91cf\u6784\u5efa\u3002</li> <li>\u5b66\u4e86\u5982\u4f55\u4f7f\u7528 GitHub release\u3002</li> </ul> </li> <li>RM \u9879\u76ee<ul> <li>\u653e\u5f03\u4e86 docker\uff0c \u76f4\u63a5\u5728\u7535\u8111\u4e0a\u914d\u7f6e\u73af\u5883\u3002\u6210\u529f\u8dd1\u8d77\u6765\u4e86\u8bad\u7ec3\u3002\u514b\u670d\u4e86\u4e00\u4e9b\u68af\u5ea6\u6d88\u5931\u548c\u7206\u70b8\u7684\u95ee\u9898\uff0c\u8dd1\u4e86 8 \u4e2a epoch\uff0c\u4f3c\u4e4e\u6709\u4e00\u70b9\u8fc7\u62df\u5408\u3002</li> <li></li> </ul> </li> <li>\u8d76\u8fdb\u5ea6\uff0c\u5b66\u4e86\u671f\u4e2d\u8003\u4ee5\u540e\u6559\u7684\u6570\u5b66\u5316\u5b66\u8ba1\u7b97\u673a\u5185\u5bb9\uff0c\u8003\u5b8c\u4e86\u8ba1\u7b97\u673a\u7b2c\u4e8c\u6b21\u671f\u4e2d\u8003\u3002</li> <li>\u5199\u82f1\u8bed\u8bba\u6587\uff0c\u8fd1\u4ee3\u53f2\u8bfb\u4e66\u62a5\u544a\u3002\u8c46\u5305\u4f3c\u4e4e\u5728\u4e2d\u6587\u5199\u4f5c\u65b9\u9762\u6bd4\u8f83\u597d\uff0c\u751a\u81f3\u6709\u7c7b\u4f3c\u4e8e ChatGPT canvas \u4e00\u6837\u7684\u529f\u80fd\u3002</li> </ul> </li> <li>\u8ba1\u5212<ul> <li>\u63a8\u8fdb CS231n\uff0c\u5b66\u5f97\u771f\u6162\u554a\u3002</li> <li>\u51c6\u5907\u56db\u7ea7\u3002</li> <li>4090 \u8bad\u7ec3\u597d\u6162\uff0c\u6253\u7b97\u628a\u6a21\u578b\u5f04\u5230\u670d\u52a1\u5668\u4e0a\u7528 A100\u3002</li> <li>\u51c6\u5907\u671f\u672b\u590d\u4e60\u3002</li> <li>\u79d1\u7814\u6295\u5165\u65f6\u95f4\u592a\u5c11\u4e86\uff0c\u4f4d\u59ff\u8bc6\u522b\u505a\u7684\u5dee\u4e0d\u591a\u4e86\uff0c\u5c31\u591a\u628a\u65f6\u95f4\u653e\u5230\u79d1\u7814\u4e0a\u9762\u3002\u591a\u5b66\u70b9\u4e1c\u897f\uff0c\u8bf4\u5b9e\u8bdd\u611f\u89c9\u4e0b\u534a\u5b66\u671f\u660e\u663e\u6ca1\u6709\u5b66\u5230\u4ec0\u4e48\u4e1c\u897f\u3002</li> <li>\u8fd0\u52a8\uff0c\u89c4\u5f8b\u4f5c\u606f\uff0c\u51cf\u5c11\u523a\u6fc0\u6027\u5a31\u4e50\u3002</li> </ul> </li> </ul>"},{"location":"summary/2024summer_vacation/","title":"2024\u5e74\u9ad8\u4e09-\u5927\u4e00\u6691\u5047\u603b\u7ed3","text":"<p> \u7ea6 518 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 2 \u5206\u949f</p> <p>\u6211\u7684\u6691\u5047\u5927\u6982\u662f\u4ece 24.7.10 \u5f00\u59cb\u7684\uff0c\u5230\u90a3\u65f6\u624d\u5c18\u57c3\u843d\u5b9a\u3002\u4f46\u53c8\u6765\u56de\u6447\u6446\uff0c\u60f3\u7740\u672a\u6765\u7684\u51fa\u8def\uff08\u51fa\u56fd\uff1f\u4fdd\u7814\uff1f\u5de5\u4f5c\uff1f\u8f6c\u4e13\u4e1a\uff1f\uff09\u3002\u6240\u4ee5\u5927\u6982\u5230 8 \u6708\u624d\u5f00\u59cb\u5b66\u4e60\u3002</p> <ul> <li>\u8ba1\u7b97\u673a<ul> <li>crash course computer \u770b\u4e86\u524d 20 \u8bb2\uff0c\u540e\u6765\u56e0\u4e3a\u61d2\u5f97\u770b\u4e86\u5c31\u6446\u70c2\u4e86</li> <li>cs 61 A<ul> <li>\u770b\u4e86\u524d 10 \u8bb2\u7684 lecture\uff0c\u4f46\u662f\u6ca1\u505a\u7b14\u8bb0</li> <li>\u770b\u4e86 composing programs \u524d\u4e09\u7ae0</li> <li>\u505a\u5b8c\u4e86 4 \u4e2a proj\uff0c\u4f46\u662f\u6ca1\u6709\u505a hw \u548c lab</li> </ul> </li> <li>cs 61 C<ul> <li>\u770b\u4e86\u524d 10 \u8bb2\u7684 slide</li> <li>\u505a\u4e86\u524d\u4e24\u4e2a proj \u548c\u524d\u516d\u4e2a lab</li> <li>\u770b\u8ba1\u7b97\u673a\u7ec4\u6210\u4e0e\u8bbe\u8ba1\u786c\u4ef6\u8f6f\u4ef6\u63a5\u53e3\u524d\u4e24\u7ae0</li> </ul> </li> <li>csapp<ul> <li>\u4e66\u770b\u4e86\u524d\u4e09\u7ae0</li> <li>\u4e5d\u66f2\u9611\u5e72\u770b\u4e86\u524d 4 \u7ae0</li> </ul> </li> <li>Dive into Deep Learning<ul> <li>\u770b\u4e86\u524d\u4e24\u7ae0\u5e76\u505a\u4e86\u7b14\u8bb0\uff0c\u4f46\u611f\u89c9\u4e00\u4e0b\u5b50\u8df3\u8fc7\u592a\u591a\u524d\u7f6e\u77e5\u8bc6\u5f88\u96be\u611f\u53d7\u5230\u7f8e\u611f\u4fbf\u5148\u653e\u653e\u3002</li> </ul> </li> <li>games 101<ul> <li>\u51e0\u4e4e\u770b\u5b8c\u4e86\u6240\u6709\u7684 lecture (\u4f46\u662f\u540e\u9762\u51e0\u8bb2\u4e0d\u662f\u5f88\u8ba4\u771f)\uff0c\u4f46\u662f\u6ca1\u6709\u505a\u7b14\u8bb0</li> </ul> </li> <li>\u4ee3\u7801\u968f\u60f3\u5f55<ul> <li>\u505a\u5230\u56de\u6eaf\u4e86\uff0c\u4f46\u662f\u6253\u7b97\u4e4b\u540e\u4e0d\u4f1a\u5f88\u7ecf\u5e38\u505a\uff08\u7b49\u5230\u8981\u7528\u4e86\u518d\u8bf4\uff09</li> </ul> </li> <li>\u7528 mkdocs \u642d\u5efa\u4e86\u81ea\u5df1\u7684 blog</li> <li>C++<ul> <li>\u770b\u4e86\u83dc\u9e1f\u6559\u7a0b\u4e0a\u7684\u76f8\u5173\u5185\u5bb9\uff0c\u6ca1\u505a\u7b14\u8bb0</li> <li>\u770b\u4e86\u6d59\u5927\u7684 C++\u8bfe\uff0c\u6ca1\u505a\u7b14\u8bb0\uff0c\u4e5f\u6ca1\u770b\u5b8c\uff08\uff09</li> <li>\u770b\u4e86 accelerated C++\uff0c\u505a\u4e86\u7b14\u8bb0</li> </ul> </li> <li>\u770b\u4e86\u6d59\u5927\u7684\u5b9e\u7528\u6280\u80fd\u62fe\u9057<ul> <li>\u590d\u4e60\u4e86 Markdown \u548c Latex \u8bed\u6cd5\uff0c\u5b66\u4e60\u4e86\u5982\u4f55\u4f7f\u7528 git\uff0c\u5b66\u4e60\u4e86\u6700\u57fa\u7840\u7684 shell\uff0cvim\u3002</li> </ul> </li> <li>\u89c6\u89c9 slam \u5341\u56db\u8bb2<ul> <li>\u770b\u5b8c\u4e86\u524d 7 \u8bb2\uff08\u5373\u7406\u8bba\u90e8\u5206\uff09\uff0c\u505a\u4e86\u7b14\u8bb0\uff0c\u4f46\u662f\u6ca1\u6709\u8dd1\u4ee3\u7801 \uff08\u73af\u5883\u592a\u96be\u914d\u4e86\uff09</li> </ul> </li> <li>\u914d\u7f6e\u73af\u5883<ul> <li>wsl 2 , git\uff0cvmware\uff0cvscode</li> <li>\u914d\u7f6e\u4e86 obsidian\uff0c\u88c5\u4e86\u597d\u591a\u63d2\u4ef6\uff0c\u73b0\u5728\u7528\u8d77\u6765\u662f\u5f88\u8212\u670d\u4e86</li> </ul> </li> </ul> </li> <li>\u8fd0\u52a8<ul> <li>\u6bcf\u5929\u505a\u505a\u4fef\u5367\u6491\uff0c\u611f\u89c9\u8fd8\u4e0d\u9519</li> <li>\u5927\u6982 7 \u6708\u4efd\u7684\u65f6\u5019\u6bcf\u5929\u4e0b\u5348\u4f1a\u51fa\u53bb\u9a91\u8f66\uff08city cycling?\uff09</li> </ul> </li> <li>\u5176\u4ed6<ul> <li>\u5bb6\u6559</li> <li>\u5b66\u4e86\u9a7e\u7167</li> <li>\u4e70\u4e86\u4e00\u4e2a\u952e\u76d8\u548c\u663e\u793a\u5668, \u91cd\u88c5\u4e86\u7535\u8111</li> <li>\u548c\u670b\u53cb\u65c5\u6e38\uff0c\u53bb\u6cc9\u5dde+\u798f\u5dde</li> <li>\u7ed9\u9ad8\u4e2d\u7684\u5b66\u5f1f\u5b66\u59b9\u5199\u4e86\u7ecf\u9a8c\u5206\u4eab\uff08\u6570\u5b66+\u82f1\u8bed+\u7269\u7406+\u6280\u672f\uff09</li> <li>\u770b\u4e86\u4e0d\u5c11\u7535\u5f71</li> </ul> </li> </ul>"},{"location":"summary/high%20school/eng_fht/","title":"\u82f1\u8bed\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 1397 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9996\u8003136\uff08\u524d\u9762\u62635\uff0c\u4f5c\u6587\u62639\uff09 -&gt; \u9ad8\u8003137\uff08\u524d\u9762\u62633\uff0c\u4f5c\u6587\u626310\uff09</p>"},{"location":"summary/high%20school/eng_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":""},{"location":"summary/high%20school/eng_fht/#_3","title":"\u82f1\u8bed\u96be\u5ea6\u600e\u4e48\u6837\uff1f","text":"<ul> <li>\u53d6\u51b3\u4e8e\u5b66\u751f\u5427\uff0c\u521d\u4e2d\u7684\u5e95\u5b50\u5f71\u54cd\u5f88\u5927\uff0c\u6709\u7684\u4eba\u521d\u4e2d\u82f1\u8bed\u597d\u76f4\u63a5\u4e09\u5e74\u90fd\u4e0d\u7528\u5b66\u82f1\u8bed\u3002</li> <li>\u57fa\u7840\u77e5\u8bc6\u5f71\u54cd\u540e\u7eed\u5b66\u4e60\uff08\u610f\u601d\u662f\u4e0d\u4f1a\u7684\u81ea\u5df1\u53bb\u5b66\u6389\uff09:<ul> <li>\u97f3\u6807 / \u53e3\u8bed</li> <li>\u8bcd\u6c47\u91cf</li> </ul> </li> <li>\u6bd4\u8bed\u6587\u3001\u6570\u5b66\uff08120+\u7684\u65f6\u5019\uff09\u63d0\u5206\uff08110+\u7684\u65f6\u5019\uff09\u5feb\u3002\u8bad\u7ec3\u65b9\u6cd5\u7b80\u5355\uff0c\u89c1\u6548\u5feb\uff0c\u63d0\u5347\u7a33\u5b9a\u3002</li> <li>\u8f7b\u903b\u8f91\uff0c\u91cd\u7406\u89e3\uff08\u8bfb\u61c2\u4e86\u5c31\u80fd\u505a\u5bf9\u9898\u76ee\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_4","title":"\u6295\u5165\u65f6\u95f4\u600e\u4e48\u6837\uff1f","text":"<ul> <li>\u4ec0\u4e48\u788e\u7247\u5316\u80cc\u5355\u8bcd\u5176\u5b9e\u4e0d\u4e00\u5b9a\u6709\u7528\uff0c\u56fe\u7684\u53ea\u662f\u591a\u770b\u51e0\u6b21\u3002\u540c\u6837\uff0c\u65e9\u8bfb\u665a\u8bfb\u4e5f\u53ea\u662f\u591a\u82b1\u70b9\u65f6\u95f4\u719f\u6089\u719f\u6089\uff0c\u5b66\u6821\u7edf\u4e00\u8bad\u7ec3\u7684\u542c\u529b\u771f\u4e0d\u662f\u5f88\u6709\u7528\u53cd\u6b63\u3002\u5efa\u8bae\u79c1\u4e0b\u627e\u8001\u5e08\u5f3a\u5316\u4e00\u4e0b\uff08</li> <li>\u5e73\u65f6\u4e3b\u8981\u7684\u65f6\u95f4\u6295\u5165:<ul> <li>\u505a\u5377\u5b50\u3001\u8ba2\u6b63\u3001\u67e5\u5355\u8bcd</li> <li>\u5199\u4f5c\u6587\u3001\u6279\u6539\u3001\u80cc\u8bed\u6599</li> </ul> </li> <li>\u6211\u4e2a\u4eba\u8ba4\u4e3a\u5355\u8bcd\u662f\u6ca1\u5fc5\u8981\u53bb\u80cc\u7ef4\u514b\u591a\u7684\uff08\u4e0d\u8fc7\u5982\u679c\u8fde\u521d\u4e2d\u7684\u5355\u8bcd\u90fd\u4e0d\u4f1a\u7684\u8bdd\uff0c\u8fd8\u662f\u5148\u80cc\u4e2a1500\uff08\u521d\u4e2d\u5355\u8bcd\u5927\u7eb2\uff09\u518d\u8bf4\u5427\u3002\u540e\u9762\u7684\u5c31\u662f\u591a\u67e5\u67e5\u5b57\u5178\uff0c\u8bb0\u5728\u7b14\u8bb0\u672c\u4e0a\uff0c\u591a\u770b\u770b\u5c31\u597d\u4e86\u3002(\u6709\u7684\u8001\u5e08\u8981\u6c42\u8fc7\u4e2aN\u904d\u7684\u7ef4\u514b\u591a\u5176\u5b9e\u4e0d\u592a\u6709\u7528\uff0c\u6bd5\u7adf\u4e00\u4e2a\u5355\u8bcd\u77e5\u905310\u4e2a\u610f\u601d\uff0c\u4e5f\u4e0d\u4e00\u5b9a\u80fd\u591f\u7406\u89e3\u6587\u610f)<ul> <li>\u5982\u679c\u771f\u60f3\u901f\u6210\uff0c\u5efa\u8bae\u641c\u7d22IAI\u53d1\u7684\u5355\u8bcd\u5927\u7eb2\uff0c\u4ee5\u8ba4\u77e5\u8bcd\u6c47\u4e3a\u6807\u51c6\uff0c\u4e00\u661f\u671f\u5185\u80cc\u5b8c\u65b0\u9ad8\u80033000\u5355\u8bcd\u3002</li> </ul> </li> <li>\u7a33\u5b9a\u8bad\u7ec3\u7684\u60c5\u51b5\u4e0b\uff0c130\u5e94\u8be5\u662f\u6240\u6709\u5b66\u751f\u90fd\u80fd\u57286\u4e2a\u6708\u5185\u53ef\u4ee5\u8fbe\u5230\u7684\u3002</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_5","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u53ef\u4ee5\u8bf4\uff0c\u82f1\u8bed\u662f\u4e3b\u8bfe\u91cc\u6700\u6709\u8ff9\u53ef\u5faa\u7684\u4e00\u95e8\u8bfe\u4e86\u3002\u800c\u4e14\u82f1\u8bed\u6709\u4e24\u6b21\u673a\u4f1a\uff0c\u6240\u4ee5\u53ea\u8981\u52aa\u529b\u5c31\u80fd\u53d6\u5f97\u5f88\u4e0d\u9519\u7684\u5206\u6570\uff08\u6027\u4ef7\u6bd4\u6781\u9ad8\uff09</p>"},{"location":"summary/high%20school/eng_fht/#_6","title":"\u8d44\u6e90\u63a8\u8350:","text":"<ul> <li>IAI yyds\uff01\uff01\uff01\uff08\u4e00\u4e2a\u82f1\u8bed\u516c\u4f17\u53f7\uff09</li> <li>\u4e00\u4e9b\u4e66:<ul> <li>\u8bed\u6cd5\u4ff1\u4e50\u90e8</li> <li>\u4e00\u672c\u6d3b\u9875\u7b14\u8bb0\u672c</li> <li>\u725b\u6d25 / \u6717\u6587 \u9ad8\u7ea7\u5b57\u5178 \u6216\u8005 \u5355\u8bcd\u7b14 \u6216\u8005 \u7535\u5b50\u5b57\u5178 \uff08\u5176\u5b9e\u533a\u522b\u4e0d\u5927\uff0c\u53ef\u4ee5\u51e0\u4e2a\u540c\u5b66\u7528\u4e00\u4e2a\uff09</li> </ul> </li> <li>\u5212\u7ebf\u5c3a\uff08\u5bf9\u5b57\u8ff9\u4e0d\u597d\u7684\u540c\u5b66\u53ef\u4ee5\u7528\uff0c\u5177\u4f53\u641c\u7d22IAI\u63a8\u6587\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_7","title":"\u8d44\u6e90\u4e0d\u63a8\u8350:","text":"<ul> <li>\u82f1\u8bed\u539f\u8457:\uff08\u6027\u4ef7\u6bd4\u51e0\u4e4e\u4e3a\u96f6\uff0c\u5355\u8bcd\u964c\u751f\u5316\u8fc7\u9ad8\uff0c\u8001\u5e08\u770b\u4e0d\u61c2\u5bb9\u6613\u5224\u4f4e\u5206\uff0c\u5bb9\u6613\u4f7f\u4eba\u6d6e\u8e81\uff09     \u6bd4\u5982:<ul> <li>Harry Potter</li> <li>Flipped</li> <li>Good English ...</li> </ul> </li> <li>\u8bfe\u5916\u8d2d\u4e70\u7684\u5b57\u5e16\uff08\u9664\u4e86\u8861\u6c34\u4f53\u4ee5\u5916\u7684\u5b57\u4f53:\u610f\u5927\u5229\u659c\u4f53\uff0c\u82b1\u4f53\uff0c\u5706\u4f53...\uff09</li> <li>\u968f\u4fbf\u4e0d\u77e5\u6765\u6e90\u7684\u4e13\u9898\u96c6\uff08\u9ad8\u8003\u5fc5\u5237\u9898\uff0c\u9ad8\u8003\u4e94\u4e09\uff08\u6392\u7248\u96be\u770b\uff0c\u9898\u76ee\u8001\u65e7\uff09\uff09</li> <li>\u91d1\u8003\u5377\u7b49\uff08\u522b\u60f3\u4e86\uff0c\u6839\u672c\u4e0d\u4f1a\u505a\u591a\u5c11\u7684\uff09 IAI\u3000is enough\uff01</li> <li>\u8001\u5e08\u4e0d\u77e5\u9053\u54ea\u91cc\u641e\u6765\u7684\u5916\u7701\u7684\u5377\u5b50/\u5546\u4e1a\u5377\uff08\u505a\u4e86\u63d0\u5347\u5f88\u5c0f\uff0c\u5f71\u54cd\u53e3\u5473\u7f62\u4e86\uff09</li> <li>\u5e73\u65f6\u7684\u4f5c\u4e1a\uff08\u7f3a\u4e4f\u9488\u5bf9\u6027\uff0c\u5408\u7406\u770b\u5f85\uff0c\u7231\u505a\u4e0d\u505a\uff09</li> <li>\u51fa\u53bb\u8865\u8bfe\u53d1\u7684\u4f5c\u6587\u89e3\u6790\uff08\u5408\u7406\u770b\u5f85\uff0c\u8b66\u60d5\u6a21\u677f/\u79d2\u6740/\u9ad8\u7ea7\u8bcd\u6c47\uff09</li> <li>\u56db\u516d\u7ea7\u3001\u6258\u798f\u3001\u96c5\u601d\u3001GRE\u5355\u8bcd\uff08\u6027\u4ef7\u6bd4\u4f4e\uff0c\u8d34\u5408\u5ea6\u4f4e\uff0c\u88c5\u903c\u5ea6\u9ad8\uff0c\u4e0d\u7b26\u5408\u9ad8\u8003\u5bfc\u5411\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_8","title":"\u5b66\u4e60\u65b9\u6cd5:","text":""},{"location":"summary/high%20school/eng_fht/#_9","title":"\u9ad8\u4e00\u9ad8\u4e8c\u4e0a:","text":"<ul> <li>\u79ef\u7d2f\u5355\u8bcd\uff08\u8bb0\u5728\u6d3b\u9875\u672c\u4e0a\uff09</li> <li>\u63d0\u5347\u5ba2\u89c2\u9898:\u6240\u6709\u9898\u76ee\u9519\u7684\u5f04\u61c2\uff0c\u505a\u8fc7\u4e0d\u9519\uff08\u522b\u73a9\u4f60\u7684\u7834\u9519\u9898\u672c\u4e86\uff09</li> <li>\u4f5c\u6587\u6446\u70c2\uff08\u9ad8\u4e00\u9ad8\u4e8c\u8303\u6587\u6c34\u5e73\u592a\u4f4e\uff0c\u6ca1\u6709\u5b66\u4e60\u7684\u4ef7\u503c\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_10","title":"\u9ad8\u4e8c\u4e0b\u9ad8\u4e09:","text":"<ul> <li>\u8fd9\u65f6\u5019\u9ad8\u8003\u5355\u8bcd\u90fd\u8ba4\u4e0d\u5168\u8bf4\u4e0d\u8fc7\u53bb\u4e86<ul> <li>\u8bf7\u53c2\u8003\u524d\u6587</li> </ul> </li> <li>\u8bed\u6cd5\u4e0d\u4f1a\u7684\u53bb\u5b66\u8bed\u6cd5\uff08\u770b\u8bed\u6cd5\u4ff1\u4e50\u90e8\uff09\uff0c\u4e0d\u8981\u8ffd\u6c42\u5b8c\u6574\u5177\u4f53\uff0c\u80fd\u591f\u505a\u8bed\u6cd5\u586b\u7a7a\u548c\u4f1a\u5206\u6790\u9605\u8bfb\u4e2d\u7684\u957f\u96be\u53e5\u5c31\u591f\u4e86\u3002\uff08\u751a\u81f3\u865a\u62df\u8bed\u6c14\u4ec0\u4e48\u7684\u90fd\u8003\u4e0d\u4e86\uff09</li> <li>\u9650\u65f6\u505a\u5377\u5b50\uff0840min\u505a\u5b8c\u5ba2\u89c2\u9898\uff09+\u8ba2\u6b63\uff08\u641e\u61c2\u4e3a\u4ec0\u4e48\u9519\uff09<ul> <li>\u505a\u591f30\u5957\u5c31\u53ef\u4ee5\u7a33\u4e0a130\uff08\u5377\u5b50\u6765\u6e90IAI\uff09</li> </ul> </li> <li>\u9650\u65f6\u7ec3\u4f5c\u6587\uff08\u5e94\u7528\u6587+\u7eed\u5199\uff09<ul> <li>\u7eed\u5199\u5199\u591f20\u504f\u5c31\u53ef\u4ee518+</li> <li>\u5e94\u7528\u6587\u5efa\u8bae\u79ef\u7d2f\u6a21\u677f\uff0c\u9047\u5230\u4e0d\u540c\u4e3b\u9898\u90fd\u6709\u8bdd\u8bf4\u3002\u4fdd\u6301\u5e73\u65f611+\u5c31\u597d\u3002</li> </ul> </li> <li>\u5b66\u6821\u8003\u8bd5\u7684\u4f5c\u6587\u6253\u5206\u4e0d\u503c\u5f97\u76f8\u4fe1:<ul> <li>\u5efa\u8bae\u73cd\u60dc\u8054\u8003\uff08\u4e0d\u662f\u5b66\u6821\u8001\u5e08\u6539\u7684\u65f6\u5019\uff0c\u6bd4\u5982\u5076\u5c14\u7684Z20\uff09</li> <li>\u53ea\u770b\u8001\u5e08\u6539\u7684\u8bed\u6cd5\u9519\u8bef</li> <li>\u53ef\u4ee5\u53c2\u52a0IAI\u57f9\u8bad\uff08\u4e0d\u662f\u5e7f\u544a\uff0c\u6027\u4ef7\u6bd4\u6bd4\u8f83\u4f4e\uff0c\u4f46\u662f\u6539\u4f5c\u6587\u7684\u6807\u51c6\u5f88\u51c6\uff09</li> </ul> </li> <li>\u4ee5\u63d0\u5347\u6210\u7ee9\u4e3a\u5bfc\u5411\uff0c\u8b66\u60d5\u63d0\u5347\u82f1\u8bed\u7d20\u517b\u66f2\u7ebf\u6551\u56fd\u7684\u9677\u8fdb\uff08\u5982\uff0c\u770b\u5916\u520a\uff0c\u8bfb\u539f\u8457\u7b49\u7b49\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_11","title":"\u8bad\u7ec3\u76ee\u6807:","text":"<ul> <li>\u5ba2\u89c2\u9898\u4fdd\u8bc1\u572830-35\u5206\u949f\u5185\u505a\u5b8c</li> <li>\u4f5c\u65871\u5c0f\u65f6\u5185\u5199\u5b8c\u4e24\u7bc7\uff0c\u8981\u6c42\u5e94\u7528\u6587\u4e0d\u4f4e\u4e8e11\u5206\uff0c\u7eed\u5199\u4e0d\u4f4e\u4e8e18\u5206\uff08\u4e24\u6bb5\u90fd\u5199\u6ee110\u884c\uff09</li> <li>\u5ba2\u89c2\u9898\u6263\u5206\u4e0d\u8d85\u8fc75\u5206\uff08\u542c\u529b\u9605\u8bfb\u4e03\u9009\u4e94\u5168\u5bf9\uff0c\u5b8c\u578b\u53ef\u62631\u5206\uff0c\u8bed\u586b\u53ef\u62631.5\u5206\uff09</li> </ul>"},{"location":"summary/high%20school/eng_fht/#_12","title":"\u5c0f\u6280\u5de7:","text":"<ul> <li>\u5408\u7406\u5b89\u6392\u505a\u9898\u65f6\u95f4\uff0c\u4e0d\u4e00\u5b9a\u8981\u4ece\u9605\u8bfb\u5f00\u59cb\u505a</li> <li>95%\u7684\u5b8c\u578b\u7b26\u54084443\uff08\u9009\u9879\u5206\u5e03\uff09\uff0c\u9ad8\u8003\u4e2d\u53ea\u670922\u8fd8\u662f\u54ea\u4e00\u5e74\u51fa\u73b0\u8fc74533\uff0c\u5efa\u8bae\u505a\u5b8c\u578b\u7684\u65f6\u5019\u5708\u9009\u9879\u800c\u975e\u5199\u5b57\u6bcd\uff0c\u4e0d\u7136\u4e0a\u4e0b\u4f1a\u5f71\u54cd\u3002\u7b2c\u4e00\u6b21\u505a\u4e0d\u51fa\u6765\u7684\u53ef\u4ee5\u5148\u7a7a\u7740\uff0c\u518d\u8bfb\u4e00\u904d\u540e\u56de\u6765\u6839\u636e\u5206\u5e03\u7efc\u5408\u6587\u610f\u586b\u6ee1\u3002</li> <li>\u9605\u8bfb\u8bfb\u5b8c\u6587\u7ae0\uff0c\u8bed\u586b\u5168\u90e8\u8981\u8bfb \u518d\u505a\u9898\uff08\u4e0d\u7136\u4f1a\u6709\u5f88\u6076\u5fc3\u7684\u9677\u9631\uff09</li> <li>\u4f5c\u6587\u4e0d\u4e00\u5b9a\u8981\u6253\u8349\u7a3f\uff0c\u4f46\u662f\u4e00\u5b9a\u4e0d\u80fd\u6709\u8bed\u6cd5\u9519\u8bef\uff0c\u5b57\u8ff9\u96be\u770b\uff08\u8fd9\u4e24\u70b9\u662f\u5f71\u54cd\u4f5c\u6587\u7684\u4e3b\u8981\u56e0\u7d20\uff0c24\u9ad8\u8003\u4e4b\u540e\u53ef\u80fd\u8fd8\u6709\u4e3b\u65e8\u5347\u534e\uff09\u3002</li> <li>\u8bfb\u61c2\u624d\u662f\u5b66\u82f1\u8bed\u7684\u552f\u4e00\u8981\u70b9\uff01\uff01\uff01</li> </ul> <p>\u8bf7\u5408\u7406\u4f7f\u7528IAI\uff0c\u5f88\u6709\u53ef\u80fd\u662f\u6700\u597d\u7684\u8d44\u6e90\u3002</p>"},{"location":"summary/high%20school/math_fht/","title":"\u6570\u5b66\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 757 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 3 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9ad8\u8003138\uff08\u586b\u7a7a\u9519\u4e00\u90535'+19\u9898\u6700\u540e\u4e00\u95ee7'\uff09</p>"},{"location":"summary/high%20school/math_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":"<ul> <li>\u6211\u60f3\u6570\u5b66\u7684\u4f53\u7cfb\uff08\u89e3\u9898\u5957\u8def\uff09\u662f\u4e0d\u5982\u7269\u7406\u5b8c\u6574\u7684\u3002\u6bd4\u5982:\u5706\u9525\u66f2\u7ebf\u5f88\u96be\u627e\u5230\u901a\u6cd5\u89e3\u51b3\u6240\u6709\u9898\u6216\u8005\u5bfc\u6570\u6709\u65f6\u5019\u4e5f\u4f1a\u6d89\u53ca\u5f88\u591a\u5947\u5947\u5999\u5999\u7684\u77e5\u8bc6\u3002</li> <li>\u771f\u7684\u5f88\u96be\u7a33\u5b9a\u63d0\u5206\uff08\u4e3b\u8981\u6307120+?\uff09</li> <li>\u5b66\u79d1\u601d\u7ef4\u53ef\u80fd\u5f88\u91cd\u8981\u3002\u867d\u7136\u6211\u4e0d\u662f\u5f88\u80fd\u9610\u660e\u8fd9\u4e2a\u6982\u5ff5\uff0c\u4f46\u5177\u4f53\u6765\u8bf4\u5c31\u662f\uff0c\u8981\u53bb\u505a\u95ee\u9898\uff0c\u800c\u4e0d\u662f\u80cc\u7b54\u6848\u3002\u5176\u5b9e\u5f88\u591a\u65f6\u5019\u7684\u505a\u4e5f\u4e0d\u8fc7\u662f\u9ed8\u5199\u4ee5\u524d\u4f1a\u7684\u5957\u8def\uff0c\u4e0d\u4f1a\u7684\u4e5f\u57fa\u672c\u4e0d\u53ef\u80fd\u5f53\u573a\u521b\u65b0\u51fa\u6765\u3002\u6240\u4ee5\u5927\u6982\u8fd9\u91cc\u7684\u505a\u6307\u7684\u662f\uff0c\u8fd0\u7528\u4ee5\u524d\u5b66\u8fc7\u7684skill\uff0c\u5c06\u4ed6\u4eec\u7ec4\u5408\u5728\u4e00\u8d77\uff0c\u62b5\u8fbe\u6240\u8981\u8fbe\u6210\u7684\u76ee\u6807\u3002</li> <li>\u6240\u4ee5\uff0c\u4e5f\u8bb8\u4f46\u51e1\u4e0a\u8ff0\u4e00\u4e2a\u6b65\u9aa4\u505a\u4e0d\u5230\uff0c\u90fd\u5f88\u96be\u505a\u5bf9\u4e00\u9053\u9898:<ul> <li>\u5206\u6790\u76ee\u6807\u662f\u4ec0\u4e48</li> <li>\u8003\u8651\u8981\u600e\u4e48\u5230\u8fbe</li> <li>\u8fd0\u7528\u4ec0\u4e48\u5de5\u5177<ul> <li>\u5982\u4f55\u68c0\u9a8c\uff0c\u5b9a\u6027\u5224\u65ad    </li> <li>\u5982\u4f55\u8bd5\u63a2\uff0c\u5b9a\u91cf\u8ba1\u7b97</li> </ul> </li> </ul> </li> </ul>"},{"location":"summary/high%20school/math_fht/#_3","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u6211\u4e00\u4e2a\u9ad8\u4e2d\u57fa\u672c\u6ca1\u505a\u8fc7\u6570\u5b66\u4f5c\u4e1a\u7684\u4eba\u4e5f\u8bb8\u4e0d\u914d\u6765\u8bf4\u8fd9\u4e2a\u95ee\u9898\u3002</p>"},{"location":"summary/high%20school/math_fht/#_4","title":"\u7701\u6d41\u7248:","text":"<ul> <li>\u638c\u63e1\u57fa\u672c\u77e5\u8bc6\u70b9\uff0c\u5b9a\u4e49\uff0c\u516c\u5f0f\uff0c\u5957\u8def\uff08\u5982\u7aef\u70b9\u6548\u5e94\uff09</li> <li>\u505a\u6574\u5377\u67e5\u6f0f\u8865\u7f3a</li> <li>\u505a\u4e13\u9898\uff0c\u6bd4\u8f83\u5f52\u7eb3</li> <li>\u8003\u8bd5\u8bad\u7ec3\u5fc3\u6001</li> </ul>"},{"location":"summary/high%20school/math_fht/#_5","title":"\u6ce8\u610f\u4e8b\u9879:","text":"<ul> <li>\u9519\u9898\u672c\u5f88\u53ef\u80fd\u6ca1\u6709\u7528\uff0c\u771f\u6b63\u6709\u7528\u7684\u662f\u8003\u8bd5\u4ee5\u540e\u7684\u590d\u76d8\uff0c\u81ea\u5df1\u6574\u7406\u603b\u7ed3\u51fa\u7684\u5957\u8def\u65b9\u6cd5\uff0c\u6613\u9519\u5f52\u7eb3\u3002     \u6bd4\u5982:     \u53ef\u80fd\u8fd9\u6b21\u5bfc\u6570\u9898\u6ca1\u505a\u51fa\u6765\uff0c\u4f60\u8981\u60f3\u6e05\u695a\u7684\u662f\uff0c\u4e3a\u4ec0\u4e48\u6ca1\u505a\u51fa\u6765\uff0c\u8003\u8bd5\u7684\u65f6\u5019\u6ca1\u82b1\u65f6\u95f4\u8fd8\u662f\u82b1\u4e86\u65f6\u95f4\u4e5f\u6ca1\u60f3\u660e\u767d\uff0c\u771f\u6b63\u6b63\u786e\u7684\u51b3\u7b56\u662f\u4ec0\u4e48\uff08\u8df3\u8fc7\uff1f\u7ee7\u7eed\u601d\u8003\uff1f\uff09\uff0c\u5982\u679c\u4e0b\u6b21\u8fd8\u662f\u505a\u4e0d\u51fa\u6765\u53ef\u4ee5\u600e\u4e48\u5c1d\u8bd5\uff0c\u5b66\u5230\u4e86\u4ec0\u4e48\u65b0\u7684\u6a21\u578b\u3002</li> <li>\u4e0d\u8981\u5bf9\u8003\u8bd5\u8fc7\u62df\u5408\uff0c\u5f88\u591a\u4eba\u8fc7\u5206\u5938\u5927\u4e86\u590d\u76d8\u7684\u4f5c\u7528\u3002\u7279\u522b\u662f\u5728\u6570\u5b66\u5e94\u8bd5\u65b9\u9762\uff0c\u82b1\u8fc7\u591a\u7684\u65f6\u95f4\u5728\u590d\u76d8\u4e0a\u7684\u6027\u4ef7\u6bd4\u4e0d\u9ad8\uff0c\u4e0d\u5982\u591a\u505a\u70b9\u9898/\u770b\u70b9\u65b0\u9c9c\u73a9\u610f/\u5b66\u522b\u7684\u79d1\u76ee\u53bb\u3002</li> <li>\u65f6\u95f4\u5f52\u7eb3\u548c\u5fc3\u6001\u51b3\u5b9a\u8003\u8bd5\u5206\u6570\u7684\u4e0b\u9650\u3002\u57fa\u7840\u9898\u505a\u5b8c\u5c31\u6709\u5f88\u591a\u5206\u6570\u5566\uff01\u522b\u88ab\u4e00\u4e2a\u9898\u5361\u4f4f\u4e86\u5c31\u5fc3\u6001\u5d29\u4e86\uff0c\u5f88\u591a\u4eba\u8bf4\u81ea\u5df1\u5fc3\u6001\u597d\u53ea\u4e0d\u8fc7\u662f\u6ca1\u505a\u8fc7\u9053\u9053\u4e0d\u987a\u5229\u7684\u5377\u5b50\u3002</li> <li>\u591a\u8ddf\u8001\u5e08\u4ea4\u6d41\uff0c\u8001\u5e08\u5f88\u53ef\u80fd\u6bd4\u4f60\u60f3\u50cf\u7684\u8981\u66f4helpful\u4e00\u4e9b\u3002</li> <li>\u4e0d\u8981\u653e\u5f03\u6570\u5b66\uff0c150\u5206\u5462\uff0c\u8fd9\u90fd\u653e\u4e86\u8fd8\u662f\u522b\u9ad8\u8003\u4e86\u3002<ul> <li>\u65e9\u70b9\u5b66\u6570\u5b66\u5427\uff0c\u522b\u6b7b\u5230\u4e34\u5934\u4e86\u624d\u540e\u6094</li> </ul> </li> <li>\u4e0d\u8981\u6c89\u8ff7\u9ad8\u7ea7\u73a9\u610f:\uff08\u6709\u8fd9\u65f6\u95f4\u4e0d\u5982\u53bb\u73a9\uff09<ul> <li>\u6cf0\u52d2\u5c55\u5f00</li> <li>\u6781\u70b9\u6781\u7ebf</li> <li>\u5bfc\u6570\u7684\u4e00\u5806\u5947\u6280\u6deb\u5de7</li> <li>...</li> </ul> </li> <li>\u8ba1\u7b97\u80fd\u529b\u5f88\u91cd\u8981\uff0c\u89e3\u6790\u51e0\u4f55\u8be5\u7b97\u7684\u8981\u7b97\u3002</li> </ul>"},{"location":"summary/high%20school/math_fht/#_6","title":"\u8d44\u6599:","text":"<ul> <li>\u5b66\u6821\u5e73\u65f6\u7684\u8003\u8bd5\uff0c\u8bf7\u8ba4\u771f\u5bf9\u5f85</li> <li>\u6d59\u8003\u795e\u5899</li> <li>\u4e0d\u63a8\u8350\u4ec0\u4e48\u6559\u8f85\uff0c\u5bf9\u9ad8\u8003\u7684\u6700\u4f73\u62df\u5408\u662f\u9ad8\u8003\u5377+\u56db\u7701\u8054\u8003\u4e4b\u7c7b\u7684\u98ce\u5411\u5377</li> <li>\u540c\u5b66\u7684\u7b14\u8bb0\uff08\u4e0d\u662f</li> </ul>"},{"location":"summary/high%20school/phy_fht/","title":"\u7269\u7406\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 1581 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 5 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9996\u800395-&gt;\u9ad8\u8003100</p>"},{"location":"summary/high%20school/phy_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":""},{"location":"summary/high%20school/phy_fht/#_3","title":"\u8981\u4e0d\u8981\u9009\u7269\u7406\uff1f","text":"<ul> <li>\u5982\u679c\u4ee5\u540e\u60f3\u5b66\u7406\u5de5\u79d1\u7684\u8bdd\uff0c\u6700\u597d\u662f\u7269\u5316\u5927\u793c\u5305\u4e00\u8d77\u4e0a\u300224\u5e74\u6587\u79d1\u6ed1\u6863\u8fd8\u662f\u5f88\u5389\u5bb3\u7684\u3002</li> <li>\u5bf9\u4e8e\u6570\u5b66\u4e0d\u597d\u7684\u540c\u5b66\u6765\u8bf4\uff0c\u7269\u7406\u7684\u96be\u5ea6\u4e0d\u4f1a\u5f88\u5c0f\u3002<ul> <li>\u5efa\u6a21</li> <li>\u8bbe\u65b9\u7a0b\uff0c\u627e\u672a\u77e5\u91cf\uff0c\u89e3\u591a\u5143\u65b9\u7a0b</li> <li>\u4e09\u89d2\u51fd\u6570\u7684\u719f\u7ec3\u4f7f\u7528</li> <li>\u5bfc\u6570\u4ee5\u53ca\u90e8\u5206\u79ef\u5206\u7684\u4f7f\u7528</li> <li>\u5bf9\u516c\u5f0f\u63a8\u5bfc\u65b9\u5411\u7684\u628a\u63e1</li> </ul> </li> <li> <p>\u5bf9\u4e8e\u6b7b\u8bb0\u786c\u80cc\u5b66\u7269\u7406\u7684\u540c\u5b66\u6765\u8bf4\uff0c\u5343\u4e07\u4e0d\u8981\u9009\u7269\u7406\u6765\u6076\u5fc3\u81ea\u5df1/\u8001\u5e08\u3002\u8bf7\u9a8c\u8bc1\u4f60\u662f\u5426\u638c\u63e1\u5982\u4e0b\u516c\u5f0f\u63a8\u5bfc:</p> <ul> <li>\u5229\u7528\u6253\u70b9\u8ba1\u65f6\u5668\u6c42\u52a0\u901f\u5ea6\u516c\u5f0f</li> <li>\u5e73\u629b\u8fd0\u52a8\u8f68\u8ff9\u65b9\u7a0b\uff0c\u5750\u6807\u968f\u65f6\u95f4\u53d8\u5316\u51fd\u6570\uff0c\u53cd\u5411\u5ef6\u957f\u7ebf\u7684\u4e8c\u7ea7\u7ed3\u8bba</li> <li>\u4e07\u6709\u5f15\u529b\u516c\u5f0f\uff0c\u5929\u4f53\u8fd0\u52a8\u901f\u5ea6\uff0c\u89d2\u901f\u5ea6\uff0c\u5468\u671f\uff0c\u80fd\u91cf</li> <li>\u5f39\u6027\u52bf\u80fd\uff0c\u52a8\u80fd\uff0c\u673a\u68b0\u80fd\uff08\u5f15\u529b\u52bf\u80fd\uff0c\u5e93\u4ed1\u52bf\u80fd\uff09</li> <li>\u52a8\u91cf\u6765\u6e90\uff0c\u78b0\u649e\u6a21\u578b</li> <li>\u6d1b\u4f26\u5179\u529b\u53ca\u5bf9\u5e94\u7c92\u5b50\u8fd0\u52a8\u6a21\u578b</li> <li>\u7535\u78c1\u611f\u5e94\u53ca\u5bf9\u5e94\u6a21\u578b:\u65cb\u8f6c\u68d2\u7684\u52a8\u751f\u7535\u52a8\u52bf\uff0c\u5355\u68d2\uff0c\u53cc\u68d2\uff0c\u7535\u5bb9\uff0c\u7535\u611f\uff0c\u78c1\u9a71\u52a8\uff0c\u70ed\u91cf\u8ba1\u7b97</li> </ul> <p>\u5982\u679c\u4f60\u4e3b\u8981\u662f\u9760\u8bb0\u80cc\u6765\u652f\u6491\u7269\u7406\u5b66\u4e60\uff0c\u90a3\u8bf7\u4f60\u4e0d\u8981\u9009\u7269\u7406\u3002</p> </li> </ul>"},{"location":"summary/high%20school/phy_fht/#_4","title":"\u7269\u7406\u96be\u5ea6\u600e\u4e48\u6837\uff1f","text":"<ul> <li>\u7269\u7406\u5e94\u8be5\u662f\u7406\u79d1\u91cc\u4f53\u7cfb\u7ed3\u6784\u7d27\u5bc6\u5b8c\u6574\uff0c\u5e94\u8bd5\u624b\u6bb5\u4e30\u5bcc\u5b8c\u5907\u7684\u4e00\u95e8\u5b66\u79d1\u4e86\u3002\u638c\u63e1\u77e5\u8bc6\u70b9\uff0c\u5b9a\u4e49\uff0c\u5b9a\u7406\uff0c\u6a21\u578b\uff0c\u5e94\u7528\u9700\u8981\u82b1\u65f6\u95f4\uff0c\u4e14\u6709\u5408\u7406\u7684\u8def\u7ebf\u53ef\u4ee5\u4f9d\u636e\u3002<ul> <li>\u8ddf\u5316\u5b66\u6bd4\uff0c\u5b83\u66f4\u504f\u5b9a\u91cf\uff0c\u6709\u660e\u786e\u7684\u516c\u5f0f\u8ba1\u7b97\uff0c\u5b8c\u6574\u7684\u903b\u8f91\u94fe\u6761\u3002</li> <li>\u8ddf\u6570\u5b66\u6bd4\uff0c\u5b83\u66f4\u504f\u5e94\u7528\uff0c\u6709\u6e05\u6670\u7684\u7ed3\u679c\u5bfc\u5411\uff0c\u4e0d\u8981\u6c42\u7075\u611f\u7206\u53d1\u3002</li> <li>\u8ddf\u6280\u672f\u6bd4\uff0c\u5b83\u66f4\u504f\u8ba1\u7b97\uff0c\u6709\u76f8\u6263\u7684\u77e5\u8bc6\u4f53\u7cfb\uff0c\u66f4\u4f4e\u7684\u5b66\u4e60\u95e8\u69db\u3002</li> </ul> </li> <li>\u53ea\u8981\u4f60\u613f\u610f\u4e0b\u529f\u592b\uff0c\u7269\u7406\u7edd\u5bf9\u662f\u4e00\u95e8\u52aa\u529b\u5c31\u6709\u56de\u62a5\u7684\u5b66\u79d1\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_5","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u8ddf\u6280\u672f\u7c7b\u4f3c</p>"},{"location":"summary/high%20school/phy_fht/#etc","title":"\u627e\u4e00\u672c\u6559\u8f85\uff08\u4e94\u4e09\u9ad8\u8003\u7248 etc.\uff09\u770b\u5b8c\u77e5\u8bc6\u70b9","text":"<ul> <li>\u8981\u6c42\u80fd\u591f\u77e5\u9053\u5b9a\u4e49\uff0c\u91cd\u8981\u516c\u5f0f\u63a8\u5bfc\uff0c\u884d\u751f\u4e8c\u7ea7\u7ed3\u8bba\u548c\u57fa\u672c\u6a21\u578b     \u6bd4\u5982:<ul> <li>\u7535\u5bb9\u7684\u5b9a\u4e49</li> <li>\u7535\u5bb9\u5927\u5c0f\u7684\u8ba1\u7b97\u5f0f</li> <li>\u6d89\u53ca\u7535\u5bb9\u7684\u52a8\u6001\u53d8\u5316</li> <li>\u7535\u5bb9\u5728\u7535\u8def\u4e2d\u5982\u4f55\u8ba1\u7b97</li> <li>\u7535\u5bb9\u7684\u80fd\u91cf\u516c\u5f0f</li> <li>\u7535\u5bb9\u5145\u653e\u7535\u5b9e\u9a8c</li> <li>\u7535\u5bb9\u5728\u4ea4\u6d41\u7535\u4e2d\u7684\u4f5c\u7528\uff08\u5b9a\u6027\uff09</li> <li>\u7535\u5bb9\u4e0e\u5176\u4ed6\u6a21\u578b\u7684\u7ed3\u5408</li> <li>...</li> </ul> </li> </ul>"},{"location":"summary/high%20school/phy_fht/#_6","title":"\u505a\u9898","text":"<ul> <li>\u9898:<ul> <li>\u5377\u5b50</li> <li>\u4e13\u9898  </li> </ul> </li> <li>\u65b9\u6cd5:<ul> <li>\u5377\u5b50\u7528\u6765\u67e5\u6f0f\u8865\u7f3a\uff0c\u63d0\u5347\u6574\u4f53\u5b8c\u6210\u5ea6\uff0c\u4f18\u5316\u65f6\u95f4\u5206\u914d\uff0c\u5feb\u901f\u5efa\u6784\u77e5\u8bc6\u6846\u67b6</li> <li>\u4e13\u9898\u7528\u6765\u5f3a\u5316\u8ba1\u7b97\uff0c\u719f\u6089\u516c\u5f0f\uff0c\u6df1\u5316\u903b\u8f91\u53ca\u5f52\u7eb3\u672c\u8d28</li> </ul> </li> <li>\u5982\u679c\u4e0d\u4f1a\u600e\u4e48\u529e:<ul> <li>\u770b\u7b54\u6848\uff0c\u95ee\u8001\u5e08\uff0c\u95ee\u540c\u5b66</li> <li>\u9009\u53d6\u540c\u7c7b\u9898\u76ee\uff0c\u505a\u8db3\u591f\u6570\u91cf\u540e\u5f52\u7eb3\u6574\u7406\u6a21\u578b</li> </ul> </li> <li>\u6613\u9519\u70b9\u5373\u4f7f\u8bb0\u5f55<ul> <li>\u53ef\u7528\u6d3b\u9875\u672c/A4\u7eb8+\u71d5\u5c3e\u5939</li> </ul> </li> <li>\u63a8\u8350\u5f52\u7eb3\u6a21\u578b\u800c\u4e0d\u662f\u6574\u7406\u9519\u9898</li> <li>\u4e00\u5b9a\u8981\u591a\u7ec3\u8ba1\u7b97\u548c\u65f6\u95f4\uff0c\u5c11\u7528/\u4e0d\u7528\u8ba1\u7b97\u5668<ul> <li>\u5728\u9ad8\u4e09\u672b\u671f\uff0c\u6211\u80fd\u7a33\u5b9a40min\u505a\u5b8c\u673a\u68b0\u80fd\u53ca\u524d\u9762\u6240\u6709\u90e8\u5206\u3002\u5f53\u7136\u8fd9\u5bf9\u5927\u591a\u6570\u540c\u5b66\u6765\u8bf4\u592a\u5feb\u4e86\uff0c\u4f46\u901f\u5ea6\u63d0\u5347\u600e\u4e48\u4e5f\u4e0d\u5acc\u591a\u3002</li> <li>\u4f8b\u5982\u572824\u5e74\u9ad8\u8003\u4e2d\uff0c\u5f88\u591a\u540c\u5b66\u7531\u4e8e\u7535\u78c1\u611f\u5e94\u5361\u58f3\u800c\u6ca1\u6709\u505a\u5b8c\u5377\u5b50\uff0c\u5bfc\u81f4\u4e8c\u8003\u672a\u80fd\u5b9e\u73b0\u6709\u6548\u63d0\u5206\u3002</li> </ul> </li> <li>\u9009\u62e9\u9898\u5f88\u91cd\u8981\uff0c\u4e00\u9053\u4e09\u5206\u5343\u4e07\u522b\u9519\u3002\u591a\u9009\u9898\u8bf7\u4fdd\u5b88\u4e00\u4e9b\uff0c\u6fc0\u8fdb\u5f80\u5f80\u4e0d\u4f1a\u6709\u597d\u7ed3\u679c\uff0c\u9ad8\u8003\u540e\u6094\u5c31\u6765\u4e0d\u53ca\u4e86\u3002</li> <li>\u4e0d\u4f1a\u7684\u9898\u76ee\u53ca\u65f6\u6b62\u635f\uff0c\u5982\u673a\u68b0\u80fd\u4e2d\u65e0\u8c13\u7684\u5206\u7c7b\u8ba8\u8bba\uff0c\u7535\u78c1\u611f\u5e94\u4e2d\u65e0\u8c13\u7684\u70ed\u91cf\u8ba1\u7b97\u7b49\u7b49\uff0c\u53ef\u4ee5\u7b49\u505a\u5b8c\u6574\u5f20\u5377\u5b50\u540e\u518d\u6765\u505a\u3002</li> <li>\u4e0d\u8981\u6c89\u8ff7\u504f\uff0c\u602a\uff0c\u96be\uff0c\u73b0\u5728\u7684\u6a21\u62df\u5377\u5f88\u591a\u98ce\u683c\u504f\u79bb\u9ad8\u8003\uff0c\u8bf7\u57f9\u517b\u8fa8\u522b\u8d28\u91cf\u7684\u672c\u9886\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_7","title":"\u5fc3\u6001\u65b9\u9762:","text":"<ul> <li>\u7269\u7406\u7684\u8003\u8bd5\u65f6\u95f4\u89c4\u5212\u5f88\u91cd\u8981\uff0c\u4e0d\u4f1a\u7684\u53ef\u4ee5\u5148\u8df3\u8fc7\u53bb\uff0c\u56de\u6765\u5728\u505a\uff0c\u5f53\u7136\u8df3\u591a\u4e86\u81ea\u7136\u4e5f\u8003\u4e0d\u597d\u4e86\u3002\u8981\u9759\u4e0b\u6765\u505a\u9898\u3002</li> <li>\u6ce8\u610f\u529b\u96c6\u4e2d\uff0c\u76f8\u4fe1\u81ea\u5df1\u7684\u5224\u65ad\uff0c\u653e\u677e\u505a\u9898\u3002</li> <li>\u5fc3\u6001\u5e26\u6765\u7684\u5f71\u54cd\u4e3b\u8981\u96c6\u4e2d\u5728\u9009\u62e9\u9898\u4e0a\uff0c\u6211\u9996\u8003\u9519\u4e864.5\u9053\u7684\u9009\u62e9\u9898\uff0c\u76f4\u63a595\u4e86\u3002</li> <li>\u5e73\u65f6\u8003\u8bd5\u6ca1\u6709\u5f88\u5927\u4ef7\u503c\uff0c\u8054\u8003\u7684\u552f\u4e00\u610f\u4e49\u5c31\u662f\u6a21\u62df\u9ad8\u8003\u6c1b\u56f4\u953b\u70bc\u5fc3\u6001\u3002\u6211\u9996\u8003\u524d\u7a33\u5b9a99+\uff0c\u6700\u540e\u4e0d\u8fd8\u662f\u8003\u4e86\u4e2a95\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_8","title":"\u8d44\u6599\u65b9\u9762:","text":"<ul> <li>\u6d59\u8003\u7269\u7406\u4e0a\u6709\u4e00\u4e9b\u5377\u5b50\uff08\u4e0d\u5168\u9762\uff09</li> <li>\u6d59\u8003\u795e\u5899\u4f1a\u6709\u51e0\u4e4e\u6240\u6709\u8054\u8003\u7684\u5377\u5b50</li> <li>\u6559\u8f85\u4e66\u63a8\u8350:<ul> <li>\u9ad8\u8003\u4e94\u4e09\uff08\u7ea2\u7684\u7d2b\u7684\u90fd\u53ef\u4ee5\uff09</li> <li>\u9ad8\u8003\u5fc5\u5237\u9898</li> <li>\u5f53\u7136\uff0c\u5b66\u6821\u80af\u5b9a\u4f1a\u4e70\u7684\uff08\u6bd4\u5982\u6b65\u6b65\u9ad8\uff09\u3002\u5982\u679c\u4f60\u8fd8\u662f\u9ad8\u4e00\u9ad8\u4e8c\u53ef\u4ee5\u505a\u505a\u8f85\u5bfc\u4e66\uff0c\u5982\u679c\u662f\u9ad8\u4e09\u4e86\uff0c\u8fd8\u662f\u5efa\u8bae\u5377\u5b50+\u4e13\u9898\u7684\u6a21\u5f0f\u3002\uff08\u4e13\u9898\u6765\u81ea\u4e8e\u9ad8\u8003\u5fc5\u5237\u9898\u4e4b\u7c7b\u7684\u4e66\uff09\u8bf7\u52ff\u9677\u5165\uff0c\u6211\u505a\u9898\u591a\u5c31\u662f\u597d\u3002\u6211\u51e0\u4e4e\u505a\u5b8c\u4e8623\u5c4a+24\u5c4a\u6d59\u6c5f\u6240\u6709\u7684\u8054\u8003\u5377\uff0c\u611f\u89c9\u63d0\u5347\u5e76\u4e0d\u4f1a\u5f88\u5927\u3002</li> <li>\u7406\u6027\u5237\u9898\u6027\u4ef7\u6bd4\u66f4\u9ad8\u3002</li> </ul> </li> </ul>"},{"location":"summary/high%20school/phy_fht/#_9","title":"\u662f\u5426\u8981\u5b66\u4e60\u9ad8\u7ea7\u5185\u5bb9:","text":"<ul> <li>\u5982\u679c\u4e3a\u4e86\u9ad8\u8003\u53d6\u5f9797+\u7684\u6210\u7ee9\uff0c\u6211\u8ba4\u4e3a\u662f\u6ca1\u6709\u5fc5\u8981\u3002\u5982\u679c\u771f\u7684\u60f3\u5b66\uff0c\u63a8\u8350\u5b66\u4e60\u4e00\u4e0b\u5185\u5bb9:<ul> <li>\u7b80\u5355\u51fd\u6570\u7684\u79ef\u5206\uff08\u53c2\u770b\u540c\u6d4e\u7248\u9ad8\u6570\u4e0a\u518c\uff09</li> <li>\u5fae\u5206\u65b9\u7a0b\u7684\u89e3 \uff08\u53c2\u770b\u540c\u6d4e\u7248\u9ad8\u6570\u4e0b\u518c\uff09</li> <li>\u659c\u629b\u8fd0\u52a8</li> <li>\u7535\u78c1\u611f\u6027\u4e2d\u5355\u68d2\uff0c\u53cc\u68d2\u6a21\u578b\u7684\u5b9a\u91cf\u8ba1\u7b97\uff08\u6d89\u53ca\u5fae\u5206\u65b9\u7a0b\uff09</li> <li>\u4ea4\u6d41\u7535\u6709\u6548\u503c\u7684\u63a8\u5bfc</li> <li>\u6768\u6c0f\u5e72\u6d89\u7684\u5b9a\u91cf\u8ba1\u7b97</li> </ul> </li> <li>\u5982\u679c\u662f\u4e3a\u4e86\u5f3a\u57fa\u6216\u8005\u4e09\u4e00\uff0c\u6211\u529d\u4f60\u7701\u7701\u5427\uff0c\u9ad8\u8003\u641e\u5230\u4f4d\u6b211000\u4e86\u518d\u8bf4\u5427\u3002\u6027\u4ef7\u6bd4\u771f\u7684\u5f88\u4f4e\u5f88\u4f4e\uff0c\u522b\u4fe1\u673a\u6784\u7684\u9b3c\u8bdd\uff0c\u9ad8\u8003\u5206\u6570\u624d\u662f\u6700\u91cd\u8981\u7684\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_10","title":"\u8001\u5e08\u4e0a\u8bfe\u662f\u5426\u8981\u542c:","text":"<ul> <li>\u56e0\u4eba\u800c\u5f02\uff0c\u4f60\u89c9\u5f97\u6709\u7528\u5c31\u542c\uff0c\u4f46\u5bf9\u4e8e\u6211\u6765\u8bf4\uff0c\u542c\u8bfe\u7684\u6548\u7387\u80af\u5b9a\u6bd4\u4e0d\u4e0a\u81ea\u5df1\u505a\u9898\u7684\u6548\u7387\u3002\u5e08\u751f\u4e92\u76f8\u8ba9\u6b65\u8fbe\u6210\u4e00\u81f4\u5c31\u597d\u3002</li> </ul>"},{"location":"summary/high%20school/phy_fht/#_11","title":"\u662f\u5426\u6709\u5fc5\u8981\u8bfe\u5916\u8f85\u5bfc:","text":"<ul> <li>\u56e0\u4eba\u800c\u5f02\uff0c\u8f85\u5bfc\u73ed\u80fd\u63d0\u4f9b\u7684\u65e0\u975e\u662f\u4e0a\u8ff0\u51e0\u79cd:\u77e5\u8bc6\u70b9\u8bb2\u89e3\uff0c\u9898\u76ee\uff0c\u89e3\u7b54\uff08\u53ef\u80fd\u8fd8\u6ca1\u6709\uff09\uff0c\u7ed9\u5bb6\u957f\u4e00\u4e2a\u5b89\u5fc3\u3002</li> <li>\u5f53\u7136\uff0c\u6211\u89c9\u5f97\u6548\u7387\u4e0d\u4f1a\u6bd4\u5b66\u6821\u9ad8\u591a\u5c11\u3002\u5982\u679c\u771f\u5b66\u4e0d\u4f1a\u4e86\uff0c\u90a3\u8fd8\u662f\u53bb\u5427\u3002</li> </ul> <p>\u53cd\u6b63\u8fd8\u662f\u5e0c\u671b\u5927\u5bb6\u53d1\u6325\u4e3b\u89c2\u80fd\u52a8\u6027\uff0c\u5b66\u6821\u53ea\u6709\u515c\u5e95\u4f5c\u7528\uff0c\u4e0d\u8fc7\u8c01\u77e5\u9053\u5e95\u5728\u54ea\u91cc</p>"},{"location":"summary/high%20school/tech_fht/","title":"\u6280\u672f\u7ecf\u9a8c\u5206\u4eab","text":"<p> \u7ea6 1324 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 4 \u5206\u949f</p> <p>\u80cc\u666f:2024\u5c4a\u9996\u800389-&gt;\u9ad8\u800398</p>"},{"location":"summary/high%20school/tech_fht/#_2","title":"\u5b66\u79d1\u672c\u8eab:","text":""},{"location":"summary/high%20school/tech_fht/#_3","title":"\u6280\u672f\u597d\u8d4b\u5206\u5417\uff1f","text":"<p>\u4e00\u822c\uff0c\u81f3\u5c11\u6bd4\u751f\u7269\u597d\u8d4b\u5206\uff08\u4e2a\u4eba\u611f\u89c9\uff09\u3002\uff08\u4e0d\u8fc7\u4e5f\u53ef\u4ee5\u9009\u5730\u7406\uff0c\u53ef\u80fd\u4f1a\u66f4\u597d\u8d4b\u5206\uff09 \u4f46\u5c31\u5e73\u65f6\u7684\u8054\u76df\u8003\u6765\u8bf4\uff0c</p> <ul> <li>\u5927\u6982\u9ad8\u4e00\u9ad8\u4e8c\u8d4b\u5206\u4f1a\u597d\u4e00\u4e9b\uff08\u6bd5\u7adf\u5f88\u591a\u4ebaprogramming\u90fd\u8fd8\u6ca1\u600e\u4e48\u641e\u61c2\uff09\u3002</li> <li>\u5230\u9ad8\u4e09\u5c31\u4e0d\u4e00\u5b9a\u4e86\uff0c\u4e3b\u8981\u770b\u8054\u76df\u53c2\u52a0\u7684\u5b66\u6821\u548c\u5377\u5b50\u672c\u8eab\u7684\u8d28\u91cf\u3002\u8bb0\u5f97\u9ad8\u8003\u524d\u7684\u4e94\u6821\u8054\u8003\uff0c\u5377\u5b50\u597d\u50cf\u633a\u7b80\u5355\u7684\uff0c\u4f46\u662f\u8d4b\u5206\u6781\u5176\u96be\u8d4b\u3002</li> <li>\u81f3\u4e8e\u9ad8\u8003\uff0c\u8d4b\u5206\u8fd8\u884c\uff0c\u4f46\u662f\u9ad8\u5206\u5f88\u96be\uff08\u7279\u522b\u630798+\uff09\uff0c\u4f30\u8ba1\u662f\u9547\u4e2d\u6e29\u4e00\u5b66\u519b\u676d\u4e8c\u628a\u5206\u5361\u4f4f\u4e86\u3002</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_4","title":"\u5b66\u79d1\u96be\u5ea6\u5927\u5417\uff1f","text":"<ul> <li>\u6211\u662f\u5728\u9009\u6280\u672f\u4e4b\u524d\u5c31\u4f1aC++\uff0cPython\uff0c\u4e2a\u4eba\u611f\u89c9\u662f\u9ad8\u4e2d\u77e5\u8bc6\u70b9\u4e0d\u96be\uff0c\u5e73\u65f6\u9898\u76ee\u4e5f\u4e0d\u662f\u5f88\u96be\u3002\u4f46\u662f\u9ad8\u8003\u5c31\u4e0d\u4e00\u5b9a\u4e86\uff0c\u7531\u4e8e\u6280\u672f\u8fd8\u6ca1\u8003\u51e0\u5e74\uff08\u5957\u8def\u8fd8\u6ca1\u88ab\u7a77\u5c3d\uff09\uff0c\u6240\u4ee5\u7a0d\u5fae\u4e00\u53d8\u5316\u5c31\u5bb9\u6613\u6b7b\u4e00\u5927\u7247\u3002</li> <li>\u4f46\u662f\u7f16\u7a0b\u5bf9\u521a\u5165\u95e8\u7684\u65b0\u624b\u800c\u8a00\uff0c\u96be\u5ea6\u8fd8\u662f\u4e0d\u5c0f\u7684\u3002\u7279\u522b\u662f\uff0c\u79bb\u8c31\u7684\u5e94\u8bd5\u6559\u80b2\u65b9\u5f0f&amp;\u96be\u8bc4\u7684\u81ea\u5b66\u80fd\u529b\uff0c\u5f88\u96be\u8bf4\u9760\u5199(write)\u4ee3\u7801\u53ef\u4ee5\u5f88\u597d\u7684\u638c\u63e1\u7b97\u6cd5/\u6570\u636e\u7ed3\u6784\u3002\u6781\u5176\u5bb9\u6613\u9677\u5165\u80cc\u4ee3\u7801\u7684\u6b7b\u5c40\u3002</li> <li>\u4e3b\u8981\u6765\u8bb2\u5c31\u662f\uff0c\u6ca1\u6709\u7269\u7406\u5316\u5b66\u96be\u3002</li> <li>\u6027\u4ef7\u6bd4\u633a\u9ad8\uff08\u5bf9\u6211\u6765\u8bf4\uff0c\u9ad8\u4e8c\u51e0\u4e4e\u6ca1\u6709\u82b1\u65f6\u95f4\uff0c\u9ad8\u4e09\u4e5f\u53ea\u662f\u505a\u505a\u8054\u8003\u5377\uff0c\u4f5c\u4e1a\u57fa\u672c\u6ca1\u505a\u8fc7\u3002\u82b1\u7684\u65f6\u95f4\u4f30\u8ba1\u662f\u82b1\u5728\u5316\u5b66\u4e0a\u7684\u96f6\u5934: (\uff09</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_5","title":"\u90a3\u8981\u4e0d\u8981\u9009\u6280\u672f\u634f\uff1f","text":"<ul> <li>\u5982\u679c\u662f\u4ee5\u540e\u5b66\u8ba1\u7b97\u673a\u76f8\u5173\u7684\u8fd8\u662f\u5efa\u8bae\u9009\uff0c\u8fd9\u6837\u7b49\u5927\u5b66\u4e86\u4f1a\u6709\u5f88\u5927\u4f18\u52bf\u3002</li> <li>\u4f46\u5982\u679c\u4e00\u70b9programming\u90fd\u641e\u4e0d\u61c2\uff0c\u90a3\u8fd8\u662f\u7b97\u4e86\u3002</li> <li>\u5982\u679c\u6ca1\u6709\u9009\u7269\u7406/\u7269\u7406\u4e0d\u597d\uff0c\u4e5f\u614e\u91cd\u9009\u6280\u672f\u5427\u3002\uff08\u4e0d\u7136\u82b1\u5728\u7535\u63a7\u4e0a\u7684\u65f6\u95f4\u4f1a\u5f88\u6ca1\u6709\u6027\u4ef7\u6bd4\uff09</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_6","title":"\u5b66\u4e60\u65b9\u6cd5:","text":"<p>\u4ec5\u5c31\u9ad8\u4e09\u800c\u8a00\uff08\u9ad8\u4e8c\u6ca1\u5b66\uff09</p>"},{"location":"summary/high%20school/tech_fht/#_7","title":"\u5148\u8981\u786e\u4fdd\u57fa\u7840\u7684\u77e5\u8bc6\u70b9\u90fd\u4f1a:","text":"<ol> <li>\u5148\u628a\u6559\u8f85\u770b\u4e00\u904d\uff08\u5b66\u6821\u80af\u5b9a\u4f1a\u4e70\u7684\u4e00\u4e9b\u4e71\u4e03\u516b\u7cdf\u7684\uff0c\u53cd\u6b63\u5e02\u9762\u4e0a\u4e5f\u6ca1\u4ec0\u4e48\u5f88\u597d\u7684\u6559\u8f85\uff09</li> <li>\u518d\u628a\u4e66\u770b\u4e00\u904d\uff08\u5f88\u5c0f\u7684\u70b9\u90fd\u8981\u77e5\u9053\uff09</li> <li>\u81ea\u5df1\u5c1d\u8bd5\u628a\u77e5\u8bc6\u70b9\u90fd\u7406\u4e00\u904d\uff08\u9009\u505a\uff09</li> <li>\u6ce8\u610f:\u6280\u672f\u672c\u8eab\u7684\u77e5\u8bc6\u4f53\u7cfb\u5e76\u4e0d\u50cf\u7269\u7406\u5316\u5b66\u90a3\u6837\u7d27\u5bc6\uff0c\u6240\u4ee5\u70b9\u90fd\u662f\u633a\u5206\u6563\u7684\u3002\u4e00\u5b9a\u5de9\u56fa\u597d\u57fa\u7840\u3002 \uff08\u7528\u65f6\u5927\u6982:1\u4e2a\u661f\u671f\uff1f\u4e00\u59293h\u3002\u56e0\u4eba\u800c\u5f02\uff09</li> </ol>"},{"location":"summary/high%20school/tech_fht/#_8","title":"\u7136\u540e\u5c31\u662f\u505a\u9898:","text":"<ul> <li>\u5148\u505a\u70b9\u5377\u5b50\uff0c\u770b\u770b\u81ea\u5df1\u6f0f\u6d1e\u5728\u54ea\uff0810\u5f20\u5dee\u4e0d\u591a\u4e86\uff0c\u4e00\u5b9a\u8981\u77ed\u65f6\u95f4\u5185\u505a\u5b8c\uff09:<ul> <li>\u5efa\u8bae\u8054\u8003\u5377\u90fd\u505a\u505a\uff0c\u624d\u77e5\u9053\u4ec0\u4e48\u662f\u597d\u7684\u5377\u5b50\u3002\uff08\u8001\u5e08\u80af\u5b9a\u4f1a\u53d1\u7684\uff09</li> </ul> </li> <li>\u7136\u540e\u505a\u70b9\u4e13\u9898\uff0c\u8d44\u6599\u6765\u6e90\uff08\u6d59\u8003\u4ea4\u6d41\uff09<ul> <li>\u4e3b\u8981\u662f\u8981\u641e\u660e\u767d\u77e5\u8bc6\u70b9\uff0c\u6bd4\u5982<ul> <li>\u94fe\u8868\uff08\u57fa\u7840\u64cd\u4f5c\uff0c\u5feb\u6162\u6307\u9488\uff09\uff0c\u4e8c\u5206\uff08\u4e8c\u53c9\u641c\u7d22\u6811\uff09</li> <li>\u5e38\u89c1\u7684pandas\u64cd\u4f5c</li> <li>\u7f51\u8def\u76f8\u5173\uff08\u80cc\u4e66\uff09</li> <li>\u7535\u63a7\u7684\u57fa\u672c\u6a21\u578b\uff08\u9707\u8361\u7535\u8def\u7684\u51e0\u79cd\u5199\u6cd5\uff0c\u955c\u50cf\u7535\u6d41\u6e90\uff09</li> <li>\u7cfb\u7edf&amp;\u63a7\u5236\uff08\u6bcf\u4e2a\u90e8\u5206\u90fd\u8981\u5f88\u786e\u5b9a\uff0c\u8001\u5e08\u8bb2\u4e0d\u6e05\u695a\uff0c\u81ea\u5df1\u4e00\u5b9a\u8981\u53bb\u641e\u61c2\uff0c\u4e0d\u7136\u5c31\u662f\u505a\u4e00\u9053\u9519\u4e00\u9053\uff09</li> <li>\u5c3a\u5bf8\u6807\u6ce8\uff08\u9519\u51e0\u56de\u5c31\u597d\u4e86\uff09</li> <li>\u4e09\u89c6\u56fe\uff08\u5b58\u7591\uff0c\u8fd9\u9898\u4e00\u76f4\u5728\u53d8\uff09</li> </ul> </li> </ul> </li> <li>\u57fa\u672c\u5c31\u5dee\u4e0d\u591a\u4e86\uff08\u540e\u9762\u518d\u82b1\u65f6\u95f4\u6027\u4ef7\u6bd4\u5c31\u4e0d\u9ad8\u4e86\uff09\uff0c\u5982\u679c\u8fd8\u60f3\u7ee7\u7eed\uff0c\u90a3\u5c31\u81ea\u5df1\u6574\u4e2a\u672c\u5b50\uff0c\u628a\u9519\u9898\u641e\u4e0a\u53bb\uff0c\u6bcf\u6b21\u8003\u8bd5\u524d\u770b\u770b\u3002\uff08\u5b9e\u9645\u4f5c\u7528\u5c31\u662f\u8ba9\u4f60\u522b\u4e00\u505a\u5b8c\u5c31\u628a\u9898\u6254\u4e86\uff0c\u4e5f\u4e0d\u641e\u61c2\uff0c\u90a3\u6837\u7b49\u4e8e\u6ca1\u505a\uff09\u4f46\u9519\u9898\u672c\u5176\u5b9e\u6548\u7387\u5f88\u4f4e\u3002\uff08formalism\uff09</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_9","title":"\u505a\u9898\u65f6\u95f4\u65b9\u9762:","text":"<ul> <li>\u6211\u662f\u57fa\u672c\u5148\u505a\u4fe1\u606f\uff0c\u5728\u505a\u901a\u7528\u7684<ul> <li>\u4fe1\u606f13\u9898\u548c\u5927\u9898\u6700\u540e\u4e00\u9898\u4e0d\u4f1a\u7684\u5148\u7a7a\u7740\uff08\u586b\u4e2a\u4e0d\u786e\u5b9a\u7684\uff09\uff0c\u7136\u540e\u53bb\u505a\u901a\u7528\u3002\u5927\u6982\u524d\u976230min\u80fd\u641e\u5b9a</li> <li>\u901a\u7528\u8349\u56fe\u5148\u7a7a\u7740\uff0c\u628a\u7535\u63a7\u5927\u9898\u505a\u5b8c\uff0c\u7136\u540e\u56de\u53bb\u753b\u8349\u56fe\u3002\uff08\u5927\u698240min\uff09</li> <li>\u753b\u5b8c\u8349\u56fe\u518d\u56de\u53bb\u505a\u4fe1\u606f\u4e0d\u4f1a\u7684\u3002</li> <li>\u6700\u540e\u53ef\u4ee5\u6446\u70c2\u4e86\uff0c\u8981\u68c0\u67e5\u4e5f\u53ef\u4ee5\uff08\u53cd\u6b63\u68c0\u67e5\u4e0d\u51fa\u6765\uff09</li> </ul> </li> <li>\u505a\u9898\u600e\u4e48\u5feb\u4e00\u70b9\uff08\u9898\u90fd\u505a\u4e0d\u5b8c\uff0c\u8c08\u4ec0\u4e48\u90fd\u662f\u767d\u642d\uff09:<ul> <li>\u83dc\u5c31\u591a\u7ec3\uff08\u4e0a\u8bfe40min\uff0c\u505a\u5b8c\u9664\uff08\u7535\u63a7/\u586b\u7a0b\u4e0d\u4f1a\u7684&amp;\u753b\u56fe\uff09\u7684\u9898\uff09</li> <li>\u6216\u8005\u665a\u81ea\u4e601h\uff0c\u505a\u5b8c\u5168\u90e8\uff08\u9664\u753b\u56fe\uff09+\u5bf9\u7b54\u6848</li> </ul> </li> <li>\u753b\u56fe\u5c31\u628a\u8054\u8003\u9898\u90fd\u653e\u4e00\u8d77\uff0c\u4e00\u6b21\u753b\u4e2a10\u5f20\u5de6\u53f3\u5c31\u5dee\u4e0d\u591a\u4e86\uff0c\u6ca1\u4ec0\u4e48\u6a21\u578b\u7684\uff08</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_10","title":"\u5fc3\u6001\u65b9\u9762:","text":"<ul> <li>\u53cd\u6b63\u9ad8\u8003\u548c\u5e73\u65f6\u8fd8\u662f\u5f88\u4e0d\u4e00\u6837\u7684\uff0c\u5efa\u8bae\u5e73\u65f6\u5927\u8003\u5f53\u9ad8\u8003\u8003\u3002</li> <li>\u7136\u540e\u5c31\u662f\u4e00\u6b21\u8003\u5dee\u6ca1\u5565\u5173\u7cfb\uff0c\u65f6\u95f4\u82b1\u5728\u8be5\u82b1\u7684\u5730\u65b9\u5c31\u597d\u4e86\uff0c\u8981\u5bf9\u81ea\u5df1\u7684\u5b66\u4e60\u6709\u638c\u63a7\u529b\u3002</li> <li>\u8001\u5e08\u6559\u7684\u4e0d\u597d\u8981\u5b66\u4f1a\u81ea\u5df1\u5b66</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_11","title":"\u8d44\u6599\u65b9\u9762:","text":"<ul> <li>\u6d59\u8003\u4ea4\u6d41\u89e3\u51b3\u6240\u6709\uff08</li> <li>\u8f85\u5bfc\u4e66\u90fd\u5dee\u4e0d\u591a\uff0c\u770b\u591a\u4e86\u6d6a\u8d39\u65f6\u95f4</li> </ul>"},{"location":"summary/high%20school/tech_fht/#_12","title":"\u5176\u4ed6:","text":"<ul> <li>\u53ef\u4ee5\u548c\u540c\u5b66\u4e00\u8d77\u5b66\uff08\u4e0d\u662f\u4e00\u8d77\u6446\u70c2\u54e6\uff09</li> <li>\u771f\u5b66\u4e0d\u4f1a\u4e86\u8d76\u7d27\u6362\u79d1\u5427</li> <li>\u90fd\u5b66\u6280\u672f\u4e86\uff0c\u5b66\u5b66\u600e\u4e48\u641c\u96c6\u8d44\u6599\u5427</li> <li>\u6709\u7528\u7684\u4f5c\u4e1a\u5c31\u505a\uff0c\u6ca1\u7528\u7684\u5c31\u7b97\u4e86\uff08\u614e\u91cd\uff09</li> <li>\u63d0\u5347\u6210\u7ee9\u7684debuff\u8fd8\u662f\u4e0d\u5c11\u7684\uff0c\u522b\u6028\u5929\u5c24\u4eba\u7684\uff08\u6b22\u8fce\u52a0\u5b66\u957f\u5b66\u59d0\u6765\u54a8\u8be2</li> <li>\u9996\u8003\u8003\u5dee\u4e86\u600e\u4e48\u529e:<ul> <li>\u8fd8\u80fd\u600e\u4e48\u529e\uff0c\u7ee7\u7eed\u5b66\u5457\u3002</li> </ul> </li> <li>\u5b66\u4e0d\u61c2\u4e0a\u8bfe\u5c31\u597d\u597d\u542c\uff0c\u522b\u73a9\u6e38\u620f\uff08\u4e0d\u7136\u600e\u4e48\u5b66\uff09</li> </ul> <p>\u6700\u540e:\u5e0c\u671b\u5927\u5bb6\u90fd\u80fd\u8003\u597d :\uff09</p>"},{"location":"summary/high%20school/%E4%B8%80%E4%BA%9B%E8%B5%84%E6%BA%90/","title":"\u4e00\u4e9b\u8d44\u6e90","text":"<p> \u7ea6 31 \u4e2a\u5b57  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\u4e0d\u5230 1 \u5206\u949f</p> <p>\u4e00\u4e9b\u8d44\u6e90\u94fe\u63a5\uff0c\u53ef\u4ee5\u53c2\u8003\u7740\u770b:</p> <ul> <li>wjyyy \u9ad8\u4e09\u751f\u5b58\u6307\u5357</li> <li>IAI\u7ecf\u9a8c\u5206\u4eab</li> </ul> <p>\u6570\u5b66:</p> <ul> <li>\u9009\u62e9\u9898\u538b\u8f74</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/","title":"\u89c6\u89c9SLAM\u5341\u56db\u8bb2","text":"<p> \u7ea6 14110 \u4e2a\u5b57  72 \u884c\u4ee3\u7801  20 \u5f20\u56fe\u7247  \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4 48 \u5206\u949f</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#1","title":"1 \u9884\u5907\u77e5\u8bc6","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#11","title":"1.1 \u672c\u4e66\u8bb2\u4ec0\u4e48","text":"<p>simultaneous localization and mapping</p> <ul> <li>\u5b9a\u4f4d</li> <li>\u5730\u56fe\u6784\u5efa</li> <li>\u80cc\u666f\u77e5\u8bc6:<ul> <li>\u5c04\u5f71\u51e0\u4f55</li> <li>\u8ba1\u7b97\u673a\u89c6\u89c9</li> <li>\u72b6\u6001\u4f30\u8ba1\u7406\u8bba</li> <li>\u674e\u7fa4\u4e0e\u674e\u4ee3\u6570</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#12","title":"1.2 \u5982\u4f55\u4f7f\u7528\u672c\u4e66","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#121","title":"1.2.1 \u7ec4\u7ec7\u65b9\u5f0f","text":"<ul> <li>\u6570\u5b66\u57fa\u7840\u7bc7<ul> <li></li> </ul> </li> <li>\u5b9e\u8df5\u5e94\u7528\u7bc7<ul> <li></li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#122","title":"1.2.2 \u4ee3\u7801","text":"<p>GitHub - gaoxiang12/slambook2: edition 2 of the slambook</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#123","title":"1.2.3 \u9762\u5411\u7684\u8bfb\u8005","text":"<ul> <li>\u57fa\u7840\u77e5\u8bc6:<ul> <li>\u9ad8\u6570\u7ebf\u4ee3\u6982\u7387\u8bba</li> <li>C++\u8bed\u8a00\u57fa\u7840\uff08C++\u6807\u51c6\u5e93\uff0c\u6a21\u677f\u7c7b\uff0c\u4e00\u90e8\u5206 C++11 \uff09</li> <li>Linux \u57fa\u7840</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#13","title":"1.3 \u98ce\u683c\u7ea6\u5b9a","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#14","title":"1.4 \u81f4\u8c22\u548c\u58f0\u660e","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#15","title":"1.5 \u4e60\u9898","text":"<ul> <li>\u9898\u76ee\uff1a\u6709\u7ebf\u6027\u65b9\u7a0b \\(A x=b\\)\uff0c\u82e5\u5df2\u77e5 \\(A, b\\)\uff0c\u9700\u8981\u6c42\u89e3 x\uff0c\u8be5\u5982\u4f55\u6c42\u89e3\uff1f\u8fd9\u5bf9 A \u548c b \u6709\u54ea\u4e9b\u8981\u6c42\uff1f\u63d0\u793a\uff1a\u4ece A \u7684\u7ef4\u5ea6\u548c\u79e9\u89d2\u5ea6\u6765\u5206\u6790\u3002</li> <li>\u7b54\u6848\uff1a\u7ebf\u6027\u65b9\u7a0b\u7ec4 \\(Ax = b\\) \u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u65b9\u6cd5\u6c42\u89e3\uff0c\u5982\u9ad8\u65af\u6d88\u5143\u6cd5\u3001\u77e9\u9635\u9006\u6cd5\u7b49\u3002\u8981\u6c42 \\(A\\) \u662f\u4e00\u4e2a\u65b9\u9635\u4e14\u53ef\u9006\uff08\u5373 \\(A\\) \u7684\u884c\u5217\u5f0f\u4e0d\u4e3a\u96f6\uff09\uff0c\u8fd9\u6837\u65b9\u7a0b\u624d\u6709\u552f\u4e00\u89e3\u3002\u5982\u679c \\(A\\) \u4e0d\u662f\u65b9\u9635\uff0c\u9700\u8981 \\(A\\) \u7684\u79e9\u7b49\u4e8e\u5217\u6570\u4e14\u7b49\u4e8e\u589e\u5e7f\u77e9\u9635 \\(\\displaystyle [A|b]\\) \u7684\u79e9\uff0c\u8fd9\u6837\u65b9\u7a0b\u7ec4\u624d\u6709\u89e3\u3002</li> <li>\u9898\u76ee\uff1a\u9ad8\u65af\u5206\u5e03\u662f\u4ec0\u4e48\uff1f\u5b83\u7684\u4e00\u7ef4\u5f62\u5f0f\u662f\u4ec0\u4e48\u6837\u5b50\uff1f\u5b83\u7684\u9ad8\u7ef4\u5f62\u5f0f\u662f\u4ec0\u4e48\u6837\u5b50\uff1f</li> <li>\u7b54\u6848\uff1a\u9ad8\u65af\u5206\u5e03\uff0c\u4e5f\u79f0\u4e3a\u6b63\u6001\u5206\u5e03\uff0c\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002\u4e00\u7ef4\u9ad8\u65af\u5206\u5e03\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u4e3a \\(\\displaystyle f (x) = \\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}\\)\uff0c\u5176\u4e2d \\(\\displaystyle \\mu\\) \u662f\u5747\u503c\uff0c\\(\\displaystyle \\sigma\\) \u662f\u6807\u51c6\u5dee\u3002\u9ad8\u7ef4\u9ad8\u65af\u5206\u5e03\u662f\u4e00\u7ef4\u9ad8\u65af\u5206\u5e03\u5728\u591a\u7ef4\u7a7a\u95f4\u7684\u63a8\u5e7f\uff0c\u5176\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u4e3a \\(\\displaystyle N (\\mathbf{x}; \\mathbf{\\mu}, \\Sigma)\\)\uff0c\u5176\u4e2d \\(\\displaystyle \\mathbf{\\mu}\\) \u662f\u5747\u503c\u5411\u91cf\uff0c\\(\\displaystyle \\Sigma\\) \u662f\u534f\u65b9\u5dee\u77e9\u9635\u3002</li> <li>\u9898\u76ee\uff1a\u4f60\u77e5\u9053 C++11 \u6807\u51c6\u5417\uff1f\u4f60\u542c\u8bf4\u8fc7\u6216\u7528\u8fc7\u5176\u4e2d\u54ea\u4e9b\u65b0\u7279\u6027\uff1f\u6709\u6ca1\u6709\u5176\u4ed6\u7684\u6807\u51c6\uff1f</li> <li>\u7b54\u6848\uff1a\u662f\u7684\uff0cC++11 \u662f C++ \u8bed\u8a00\u7684\u4e00\u4e2a\u91cd\u8981\u6807\u51c6\uff0c\u5b83\u5f15\u5165\u4e86\u8bb8\u591a\u65b0\u7279\u6027\uff0c\u5982\u81ea\u52a8\u7c7b\u578b\u63a8\u5bfc\uff08auto\uff09\u3001\u57fa\u4e8e\u8303\u56f4\u7684 for \u5faa\u73af\u3001lambda \u8868\u8fbe\u5f0f\u3001\u667a\u80fd\u6307\u9488\u7b49\u3002\u9664\u4e86 C++11\uff0c\u8fd8\u6709 C++14\u3001C++17 \u548c C++20 \u7b49\u540e\u7eed\u6807\u51c6\uff0c\u5b83\u4eec\u4e5f\u5f15\u5165\u4e86\u65b0\u7684\u7279\u6027\u548c\u6539\u8fdb\u3002</li> <li>\u9898\u76ee\uff1a\u5982\u4f55\u5728 Ubuntu \u7cfb\u7edf\u4e2d\u5b89\u88c5\u8f6f\u4ef6\uff08\u4e0d\u6253\u5f00\u8f6f\u4ef6\u4e2d\u5fc3\u7684\u60c5\u51b5\u4e0b\uff09\uff1f\u8fd9\u4e9b\u8f6f\u4ef6\u88ab\u5b89\u88c5\u5728\u4ec0\u4e48\u5730\u65b9\uff1f\u5982\u679c\u53ea\u77e5\u9053\u6a21\u7cca\u7684\u8f6f\u4ef6\u540d\u79f0\uff08\u6bd4\u5982\u60f3\u8981\u88c5\u4e00\u4e2a\u540d\u79f0\u4e2d\u542b\u6709 Eigen \u7684\u5e93\uff09\uff0c\u5e94\u8be5\u5982\u4f55\u5b89\u88c5\u5b83\uff1f</li> <li>\u7b54\u6848\uff1a</li> <li>\u8f6f\u4ef6\u5b89\u88c5\uff1a\u5728 Ubuntu \u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u547d\u4ee4\u884c\u5de5\u5177 <code>apt</code> \u6765\u5b89\u88c5\u8f6f\u4ef6\u3002\u57fa\u672c\u547d\u4ee4\u4e3a <code>sudo apt install [package-name]</code>\u3002</li> <li>\u5b89\u88c5\u4f4d\u7f6e\uff1a\u8f6f\u4ef6\u901a\u5e38\u88ab\u5b89\u88c5\u5728 <code>/usr/</code> \u76ee\u5f55\u4e0b\uff0c\u4f46\u5177\u4f53\u7684\u6587\u4ef6\u53ef\u80fd\u5206\u5e03\u5728\u591a\u4e2a\u5b50\u76ee\u5f55\u4e2d\u3002</li> <li>\u6a21\u7cca\u540d\u79f0\u5b89\u88c5\uff1a\u5982\u679c\u53ea\u77e5\u9053\u8f6f\u4ef6\u540d\u79f0\u7684\u4e00\u90e8\u5206\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>apt search</code> \u547d\u4ee4\u6765\u641c\u7d22\u3002\u4f8b\u5982\uff0c<code>sudo apt search eigen</code> \u53ef\u4ee5\u5e2e\u52a9\u627e\u5230\u6240\u6709\u5305\u542b \"eigen\" \u7684\u8f6f\u4ef6\u5305\u3002</li> <li>\u9898\u76ee\uff1a*\u82b1\u4e00\u4e2a\u5c0f\u65f6\u5b66\u4e60 Vim\uff0c\u56e0\u4e3a\u4f60\u8fdf\u65e9\u4f1a\u7528\u5b83\u3002\u4f60\u53ef\u4ee5\u5728\u7ec8\u7aef\u4e2d\u8f93\u5165 vimtutor \u9605\u8bfb\u4e00\u904d\u6240\u6709\u5185\u5bb9\u3002\u6211\u4eec\u4e0d\u9700\u8981\u4f60\u975e\u5e38\u719f\u7ec3\u5730\u64cd\u4f5c\u5b83\uff0c\u53ea\u8981\u80fd\u591f\u5728\u5b66\u4e60\u672c\u4e66\u7684\u8fc7\u7a0b\u4e2d\u4f7f\u7528\u5b83\u8f93\u5165\u4ee3\u7801\u5373\u53ef\u3002\u4e0d\u8981\u5728\u5b83\u7684\u63d2\u4ef6\u4e0a\u6d6a\u8d39\u65f6\u95f4\uff0c\u4e0d\u8981\u60f3\u7740\u628a Vim \u7528\u6210 IDE\uff0c\u6211\u4eec\u53ea\u7528\u5b83\u505a\u6587\u672c\u7f16\u8f91\u7684\u5de5\u4f5c\u3002</li> <li>\u7b54\u6848:<ul> <li>vim \u6839\u672c\u4e0d\u719f\u7ec3\u634f</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#2-slam","title":"2 \u521d\u8bc6 SLAM","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#21","title":"2.1 \u5f15\u5b50: \u5c0f\u841d\u535c\u7684\u4f8b\u5b50","text":"<ul> <li>\u81ea\u4e3b\u8fd0\u52a8\u80fd\u529b</li> <li>\u611f\u77e5\u5468\u8fb9\u73af\u5883<ul> <li>\u72b6\u6001</li> <li>\u73af\u5883</li> </ul> </li> <li>\u5b89\u88c5\u4e8e\u73af\u5883\u4e2d\uff08\u4e0d\u592a\u597d\u53cd\u6b63\uff09</li> <li>\u673a\u5668\u4eba\u672c\u4f53\u4e0a<ul> <li>\u6fc0\u5149 SLAM</li> <li>\u89c6\u89c9 SLAM\uff08\u672c\u4e66\u91cd\u70b9\uff09<ul> <li>\u5355\u76ee\uff08Monocular\uff09<ul> <li>\u53ea\u80fd\u7528\u4e00\u4e2a\u6444\u50cf\u5934</li> <li>\u8ddd\u79bb\u611f<ul> <li>motion</li> <li>Structure</li> <li>Disparity</li> <li>Scale<ul> <li>Scale Ambiguity</li> </ul> </li> <li>\u4f46\u662f\u65e0\u6cd5\u786e\u5b9a\u6df1\u5ea6</li> </ul> </li> </ul> </li> <li>\u53cc\u76ee\uff08Sterco\uff09<ul> <li>\u4e24\u4e2a\u76f8\u673a\u7684\u8ddd\u79bb\uff08\u57fa\u7ebf Baseline\uff09\u5df2\u77e5</li> <li>\u914d\u7f6e\u4e0e\u6807\u5b9a\u6bd4\u8f83\u590d\u6742</li> </ul> </li> <li>\u6df1\u5ea6\uff08RGB-D\uff09<ul> <li>\u7ea2\u5916\u7ed3\u6784\u5173 Time-of-Flight\uff08ToF\uff09</li> <li>\u4e3b\u8981\u7528\u5728\u5ba4\u5185\uff0c\u5ba4\u5916\u4f1a\u6709\u5f88\u591a\u5f71\u54cd</li> </ul> </li> <li>\u8fd8\u6709\u4e00\u4e9b\u975e\u4e3b\u6d41\u7684: \u5168\u666f\uff0cEvent</li> </ul> </li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#22-slam","title":"2.2 \u7ecf\u5178\u89c6\u89c9 SLAM \u6846\u67b6","text":"<ul> <li>\u5728\u5916\u754c\u6362\u51e0\u4e2a\u6bd4\u8f83\u7a33\u5b9a\u7684\u60c5\u51b5\u4e0b\uff0cSLAM \u6280\u672f\u5df2\u7ecf\u6bd4\u8f83\u6210\u719f</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#221","title":"2.2.1 \u89c6\u89c9\u91cc\u7a0b\u8ba1","text":"<ul> <li>\u53ea\u901a\u8fc7\u89c6\u89c9\u91cc\u7a0b\u8ba1\u6765\u4f30\u8ba1\u8f68\u8ff9\u4f1a\u51fa\u73b0\u7d2f\u79ef\u6f02\u79fb\uff08Accumulating Drift\uff09\u3002</li> <li>\u6240\u4ee5\u9700\u8981\u56de\u73af\u68c0\u6d4b\u4e0e\u540e\u7aef\u4f18\u5316</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#222","title":"2.2.2 \u540e\u7aef\u4f18\u5316","text":"<ul> <li>\u6700\u5927\u540e\u9a8c\u6982\u7387\u4f30\u8ba1\uff08Maximum-a-Posteriori MAP\uff09</li> <li>\u524d\u7aef<ul> <li>\u56fe\u50cf\u7684\u7279\u5f81\u63d0\u53d6\u4e0e\u5339\u914d</li> </ul> </li> <li>\u540e\u7aef<ul> <li>\u6ee4\u6ce2\u4e0e\u975e\u7ebf\u6027\u7b97\u6cd5</li> </ul> </li> <li>\u5bf9\u8fd0\u52a8\u4e3b\u4f53\u81ea\u8eab\u548c\u5468\u56f4\u73af\u5883\u7a7a\u95f4\u4e0d\u786e\u5b9a\u6027\u7684\u4f30\u8ba1</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#223","title":"2.2.3 \u56de\u73af\u68c0\u6d4b","text":"<ul> <li>\u95ed\u73af\u68c0\u6d4b</li> <li>\u8bc6\u522b\u5230\u8fc7\u7684\u573a\u666f</li> <li>\u5229\u7528\u56fe\u50cf\u7684\u76f8\u4f3c\u6027</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#224","title":"2.2.4 \u5efa\u56fe","text":"<ul> <li>\u5ea6\u91cf\u5730\u56fe<ul> <li>Sparse<ul> <li>Landmark</li> <li>\u5b9a\u4f4d\u7528</li> </ul> </li> <li>Dense<ul> <li>Grid / Vocel</li> <li>\u5bfc\u822a\u7528</li> </ul> </li> </ul> </li> <li>\u62d3\u6251\u5730\u56fe     Graph</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#23-slam","title":"2.3 SLAM \u95ee\u9898\u7684\u6570\u5b66\u8868\u8ff0","text":"<ul> <li>\u8fd0\u52a8\u65b9\u7a0b<ul> <li>\\(\\displaystyle \\quad\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k,\\boldsymbol{w}_k\\right).\\)<ul> <li>\\(\\displaystyle \\boldsymbol{u}_{k}\\) \u662f\u8fd0\u52a8\u4f20\u611f\u5668\u7684\u8f93\u5165</li> <li>\\(\\displaystyle \\boldsymbol{w}_{k}\\) \u662f\u8fc7\u7a0b\u4e2d\u52a0\u5165\u7684\u566a\u58f0</li> </ul> </li> </ul> </li> <li>\u89c2\u6d4b\u65b9\u7a0b<ul> <li>\\(\\displaystyle \\boldsymbol{z}_{k,j} = h (\\boldsymbol{y}_{j},\\boldsymbol{x}_{k},\\boldsymbol{v}_{k,j})\\)<ul> <li>\\(\\displaystyle \\boldsymbol{v}_{k,j}\\) \u662f\u89c2\u6d4b\u91cc\u7684\u566a\u58f0</li> </ul> </li> </ul> </li> <li>\u53c8\u5f88\u591a\u53c2\u6570\u5316\u7684\u65b9\u5f0f</li> <li>\u53ef\u4ee5\u603b\u7ed3\u4e3a\u5982\u4e0b\u4e24\u4e2a\u65b9\u7a0b</li> </ul> \\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k,\\boldsymbol{w}_k\\right),&amp;k=1,\\cdots,K\\\\\\boldsymbol{z}_{k,j}=h\\left(\\boldsymbol{y}_j,\\boldsymbol{x}_k,\\boldsymbol{v}_{k,j}\\right),&amp;(k,j)\\in\\mathcal{O}\\end{cases}. \\] <ul> <li>\u77e5\u9053\u8fd0\u52a8\u6d4b\u91cf\u7684\u8bfb\u6570 \\(\\displaystyle \\boldsymbol{u}\\) \u548c\u4f20\u611f\u5668\u7684\u8bfb\u6570 \\(\\displaystyle \\boldsymbol{z}\\)\uff0c\u5982\u4f55\u6c42\u89e3\u5b9a\u4f4d\u95ee\u9898\u548c\u5efa\u56fe\u95ee\u9898\u3002<ul> <li>\u72b6\u6001\u4f30\u8ba1\u95ee\u9898: \u5982\u4f55\u901a\u8fc7\u5e26\u6709\u566a\u58f0\u7684\u6d4b\u91cf\u6570\u636e\uff0c\u4f30\u8ba1\u5185\u90e8\u7684\u3001\u9690\u85cf\u7740\u7684\u72b6\u6001\u53d8\u91cf</li> </ul> </li> <li>Linear Gaussian -&gt; Kalman Filter</li> <li>Non-Linear Non-Gaussian -&gt; Extended Kalman Filter \u548c\u975e\u7ebf\u6027\u4f18\u5316</li> <li>EKF -&gt; Particle Filter -&gt; Graph Optimization</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#24","title":"2.4 \u5b9e\u8df5: \u7f16\u7a0b\u57fa\u7840","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#241-linux","title":"2.4.1 \u5b89\u88c5 Linux \u64cd\u4f5c\u7cfb\u7edf","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#242-hello-slam","title":"2.4.2 Hello SLAM","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#243-cmake","title":"2.4.3 \u4f7f\u7528 cmake","text":"Text Only<pre><code>cmake_minimum_required( VERSION 2.8)\n\nproject(HelloSLAM)\n\nadd_executable(helloSLAM helloSLAM.cpp)\n</code></pre> <p>\u5bf9\u4e2d\u95f4\u6587\u4ef6\u7684\u5904\u7406:</p> Text Only<pre><code>mkdir build\ncd build\ncmake ..\nmake\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#244","title":"2.4.4 \u4f7f\u7528\u5e93","text":"Text Only<pre><code>add_library(hello libHelloSLAM.cpp)\n</code></pre> <ul> <li>\u9759\u6001\u5e93<ul> <li>.a \u4f5c\u4e3a\u540e\u7f00\u540d\uff0c\u6bcf\u6b21\u8c03\u7528\u90fd\u6709\u4e00\u4e2a\u526f\u672c</li> </ul> </li> <li>\u5171\u4eab\u5e93<ul> <li>.so\uff0c\u53ea\u6709\u4e00\u4e2a\u526f\u672c</li> </ul> </li> </ul> Text Only<pre><code>add_library(hello_shared SHARED libHelloSLAM.cpp)\n</code></pre> <ul> <li>\u8fd8\u8981\u4e00\u4e2a\u5934\u6587\u4ef6\u6765\u8bf4\u660e\u5e93\u91cc\u90fd\u6709\u4ec0\u4e48</li> </ul> Text Only<pre><code>#ifndef LIBHELLOSLAM_H_\n#define LIBHELLOSLAM_H_\n\nvoid printHello()\n\n#endif\n</code></pre> <ul> <li>\u6700\u540e\u5199\u4e00\u4e2a\u53ef\u6267\u884c\u7a0b\u5e8f:</li> </ul> C++<pre><code>#include \"libHelloSLAM.h\"\n\nint main(int argc, char **argv) {\n    printHello();\n    return 0;   \n}\n</code></pre> <ul> <li>\u5728 CMakeLists. txt \u4e2d\u6dfb\u52a0\u53ef\u6267\u884c\u547d\u4ee4\u7684\u751f\u6210\u547d\u4ee4\uff0c\u94fe\u63a5\u5230\u5e93\u4e0a:</li> </ul> Text Only<pre><code>add_executable(useHello useHello.cpp)\ntarget_link_libraries(useHello hello_shared)\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#245-ide","title":"2.4.5 \u4f7f\u7528 IDE","text":"<ul> <li>KDevelop</li> <li>Clion</li> <li>\u8fd8\u6ca1\u5199</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#3","title":"3 \u4e09\u7ef4\u7a7a\u95f4\u521a\u4f53\u8fd0\u52a8","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#31","title":"3.1 \u65cb\u8f6c\u77e9\u9635","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#311","title":"3.1.1 \u70b9\u3001\u5411\u91cf\u548c\u5750\u6807\u7cfb","text":"<ul> <li>Skew-symmetric Matrix</li> </ul> \\[ a\\times b =  \\begin{Vmatrix}e_1&amp;e_2&amp;e_3\\\\ \\\\ a_1&amp;a_2&amp;a_3\\\\ \\\\ b_1&amp;b_2&amp;b_3 \\\\ \\end{Vmatrix} = \\begin{bmatrix} a_2b_3-a_3b_2\\\\ \\\\ a_3b_1-a_1b_3\\\\ \\\\ a_1b_2-a_2b_1  \\end{bmatrix} = \\begin{bmatrix}  0&amp;-a_3&amp;a_2\\\\ \\\\ a_3&amp;0&amp;-a_1\\\\ \\\\ -a_2&amp;a_1&amp;0  \\end{bmatrix} \\boldsymbol{b}\\overset{\\mathrm{def}}{\\operatorname*{=}}\\boldsymbol{a}^{\\wedge}\\boldsymbol{b}. \\] <ul> <li>\u4e8e\u662f\u5c31\u628a\u5916\u79ef\u53d8\u6210\u4e86\u7ebf\u6027\u8fd0\u7b97</li> <li>\u5373</li> </ul> \\[ \\displaystyle \\boldsymbol{a}^{\\wedge}=\\begin{bmatrix} 0  &amp; -a_{3}  &amp; a_{2} \\\\ a_{3} &amp; 0 &amp; -a_{1} \\\\ -a_{2} &amp; a_{1} &amp; 0 \\end{bmatrix} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#312","title":"3.1.2 \u5750\u6807\u7cfb\u95f4\u7684\u6b27\u5f0f\u53d8\u6362","text":"<ul> <li>Euclidean Transform</li> </ul> \\[ \\begin{bmatrix}a_1\\\\ \\\\ a_2\\\\\\\\a_3\\end{bmatrix}=\\begin{bmatrix}e_1^\\mathrm{T}e_1^{\\prime}&amp;e_1^\\mathrm{T}e_2^{\\prime}&amp;e_1^\\mathrm{T}e_3^{\\prime}\\\\e_2^\\mathrm{T}e_1^{\\prime}&amp;e_2^\\mathrm{T}e_2^{\\prime}&amp;e_2^\\mathrm{T}e_3^{\\prime}\\\\e_3^\\mathrm{T}e_1^{\\prime}&amp;e_3^\\mathrm{T}e_2^{\\prime}&amp;e_3^\\mathrm{T}e_3^{\\prime}\\end{bmatrix}\\begin{bmatrix}a_1^{\\prime}\\\\\\\\a_2^{\\prime}\\\\\\\\a_3^{\\prime}\\end{bmatrix}\\stackrel{\\mathrm{def}}{=}Ra^{\\prime} \\] <ul> <li>\\(\\displaystyle \\boldsymbol{R}\\) \u662f\u65cb\u8f6c\u77e9\u9635\u3001\u65b9\u5411\u4f59\u5f26\u77e9\u9635</li> <li>Special Orthogonal Group \\(\\displaystyle \\mathrm{SO}(n)=\\{\\boldsymbol{R}\\in \\mathbb{R}^{n \\times n}|\\boldsymbol{R}\\boldsymbol{R}^{\\mathrm{T}}=\\boldsymbol{I},\\det(\\boldsymbol{R})=1\\}\\)</li> <li>\\(\\displaystyle a^{\\prime}=R^{-1}a=R^{\\intercal}a.\\)</li> <li>\u65cb\u8f6c+\u5e73\u79fb: \\(\\displaystyle a^{\\prime}=Ra+t.\\)</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#313","title":"3.1.3 \u53d8\u6362\u77e9\u9635\u4e0e\u9f50\u6b21\u5750\u6807","text":"<ul> <li>\u4f46\u662f\u8fd9\u91cc\u7684\u53d8\u6362\u5173\u7cfb\u4e0d\u662f\u4e00\u4e2a\u7ebf\u6027\u5173\u7cfb</li> <li>\\(\\displaystyle c=R_2\\left(R_1a+t_1\\right)+t_2\\)</li> <li>\u6211\u4eec\u6539\u5199\u4e00\u4e0b\u5f62\u5f0f:<ul> <li>\\(\\displaystyle \\begin{bmatrix}a'\\\\\\\\1\\end{bmatrix}=\\begin{bmatrix}R&amp;t\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\begin{bmatrix}a\\\\\\\\1\\end{bmatrix}\\overset{\\mathrm{def}}{=}T\\begin{bmatrix}a\\\\\\\\1\\end{bmatrix}\\)</li> <li>\u8fd9\u5c31\u662f\u9f50\u6b21\u5750\u6807\uff0c\\(\\displaystyle \\boldsymbol{T}\\) \u79f0\u4e3a\u53d8\u6362\u77e9\u9635\uff08Transform matrix\uff09</li> </ul> </li> <li>\\(\\displaystyle \\tilde{b}=T_1\\tilde{\\boldsymbol{a}}, \\tilde{\\boldsymbol{c}}=T_2\\tilde{\\boldsymbol{b}}\\quad\\Rightarrow\\tilde{\\boldsymbol{c}}=T_2T_1\\tilde{\\boldsymbol{a}}.\\)</li> <li>\u5e76\u4e14 \\(\\displaystyle \\boldsymbol{T}\\) \u79f0\u4e3a\u7279\u6b8a\u6b27\u5f0f\u7fa4\uff08Special Euclidean Group\uff09<ul> <li>\\(\\displaystyle \\mathrm{SE}(3)=\\left\\{T=\\begin{bmatrix}R&amp;t\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}|\\boldsymbol{R}\\in\\mathrm{SO}(3),\\boldsymbol{t}\\in\\mathbb{R}^3\\right\\}\\)</li> </ul> </li> <li>\\(\\displaystyle T^{-1}=\\begin{bmatrix}R^\\mathrm{T}&amp;-R^\\mathrm{T}t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}\\)</li> <li>\u5728 C++\u7a0b\u5e8f\u4e2d\u53ef\u4ee5\u4f7f\u7528\u8fd0\u7b97\u7b26\u91cd\u8f7d\u6765\u5904\u7406\u9f50\u6b21\u548c\u975e\u9f50\u6b21\u7684\u60c5\u51b5</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#32-eigen","title":"3.2 \u5b9e\u8df5:Eigen","text":"C++<pre><code>#include &lt;iostream&gt;\nusing namespace std;\n\n#include &lt;ctime&gt;\n\n#include &lt;eigen3&gt;\nusing namespace Eigen;\n\n#define MATRIX_SIZE 50\n\nint main(int argc, char **argv) {\n    Matrix&lt;float, 2, 3&gt; matrix_23;\n// \u5982\u4e0b\u90fd\u662f\u4e09\u7ef4\u5411\u91cf\n    Vector3d v_3d;\n    Matrix&lt;float, 3, 1&gt; vd_3d;\n// \u5982\u4e0b\u662f3*3\u77e9\u9635\n    Matrix3d matrix_33 = Matrix3d::Zero();\n// \u4e24\u4e2a\u52a8\u6001\u5206\u914d\n    Matrix&lt;double, Dynamic, Dynamic&gt; matrix_dynamic;\n    MatrixXd matrix_x;\n\n    matrix_23 &lt;&lt; 1, 2, 3, 4, 5, 6;\n    cout&lt;&lt; \"matrix 2*3 from 1 to 6: \\n\" &lt;&lt; matrix_23 &lt;&lt; endl;\n\n    cout &lt;&lt; \"print matrix 2*3:\" &lt;&lt; endl;\n    for (int i = 0; i &lt; 2; i++) {\n        for (int j = 0; j &lt; 3; j+) cout &lt;&lt; matrix_23(i, j) &lt;&lt; \"\\t\";\n        cout &lt;&lt; endl;\n    }\n\n    v_3d &lt;&lt; 3, 2, 1;\n    vd_3d &lt;&lt; 4, 5, 6;\n\n    Matrix&lt;double, 2, 1&gt; result = matrix_23.cast&lt;double&gt;() * v_3d;\n    cout &lt;&lt; \"[1, 2, 3; 4, 5, 6] * [3, 2, 1] =\" &lt;&lt; result.transpose() &lt;&lt; endl;\n\n    matrix_22 = Matrix3d::Random();\n\n    // \u4e00\u4e9b\u77e9\u9635\u7684\u64cd\u4f5c:\n    // transpose()\n    // sum()\n    // trace()\n    // inverse()\n    // determinant()\n\n    SelfAdjointEigenSolver&lt;Matrix3d&gt; eigen_solver(matrix_33.transpose() * matrix_33);\n    cout &lt;&lt; eigen_solver.eigenvalues() &lt;&lt; endl;\n    cout &lt;&lt; eigen_solver.eigenvectors() &lt;&lt; endl;\n\n    // solve the equation\n    Matrix&lt;double, MATRIX_SIZE, MATRIX_SIZE&gt; matrix_NN = MatrixXd::Random(MATRIX_SIZE, MATRIX_SIZE);\n    matrix_NN = matrix_NN * matrix_NN.transpose()\n    Matrix&lt;double, MATRIX_SIZE, 1&gt; v_Nd = MatrixXd::random(MATRIX_SIZE, 1);\n\n    // \u7b2c\u4e00\u79cd:\u76f4\u63a5\u6c42\u9006\n    Matrix&lt;double, MATRIX_SIZE, 1&gt; x = matrix_NN.inverse() * v_Nd;\n\n    // \u7b2c\u4e8c\u79cd:\u77e9\u9635\u5206\u89e3\n    x = matrix_NN.colPivHouseholderQr().solve(v_Nd);\n\n}\n</code></pre> <ul> <li>Eigen \u4e0d\u652f\u6301\u81ea\u52a8\u7c7b\u578b\u63d0\u5347\uff0c\u5373\u4e0d\u4f1a\u9690\u5f0f\u8f6c\u6362</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#33","title":"3.3 \u65cb\u8f6c\u5411\u91cf\u548c\u6b27\u62c9\u89d2","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#331","title":"3.3.1 \u65cb\u8f6c\u5411\u91cf","text":"<ul> <li>Axis-Angle</li> <li>Rodrigues's Formula<ul> <li>\\(\\displaystyle \\boldsymbol{R}=\\cos\\theta\\boldsymbol{I}+\\left(1-\\cos\\theta\\right)\\boldsymbol{n}\\boldsymbol{n}^\\mathrm{T}+\\sin\\theta\\boldsymbol{n}^\\mathrm{\\wedge}.\\)</li> </ul> </li> </ul> \\[ \\begin{aligned} \\mathrm{tr}\\left(R\\right)&amp; =\\cos\\theta\\operatorname{tr}\\left(\\boldsymbol{I}\\right)+\\left(1-\\cos\\theta\\right)\\operatorname{tr}\\left(\\boldsymbol{n}\\boldsymbol{n}^\\mathrm{T}\\right)+\\sin\\theta\\operatorname{tr}(\\boldsymbol{n}^\\mathrm{\\Lambda}) \\\\ &amp;=3\\cos\\theta+(1-\\cos\\theta) \\\\ &amp;=1+2\\cos\\theta  \\end{aligned} \\] <p>thus:</p> \\[ \\theta=\\arccos\\frac{\\mathrm{tr}(R)-1}{2}. \\] \\[ Rn=n. \\] <ul> <li>\u5373 \\(\\displaystyle \\boldsymbol{n}\\) \u662f\u77e9\u9635 \\(\\displaystyle \\boldsymbol{R}\\) \u7279\u5f81\u503c 1 \u5bf9\u5e94\u7684\u7279\u8bca\u5411\u91cf</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#332","title":"3.3.2 \u6b27\u62c9\u89d2","text":"<ul> <li>\u6bd4\u8f83\u5e38\u7528\u7684\u4e00\u79cd yaw-pitch-roll<ul> <li>ZYX</li> </ul> </li> <li>\u4f46\u4f1a\u6709 Gimbal Lock \u95ee\u9898<ul> <li>\u6240\u4ee5\u6b27\u62c9\u89d2\u6bd4\u8f83\u9002\u5408\u7528\u4e8e\u5feb\u901f\u68c0\u9a8c\u7ed3\u679c\u662f\u5426\u6709\u9519</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#34","title":"3.4 \u56db\u5143\u6570","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#341","title":"3.4.1 \u56db\u5143\u6570\u7684\u5b9a\u4e49","text":"<ul> <li>\u6211\u4eec\u627e\u4e0d\u5230\u4e0d\u5e26\u5947\u5f02\u6027\u7684\u4e09\u4f4d\u5411\u91cf\u63cf\u8ff0\u65b9\u5f0f<ul> <li>\u627e\u4e0d\u5230\u4e00\u4e2a\u6d41\u5f62\uff1f</li> </ul> </li> <li>Quaternion<ul> <li>\u7d27\u51d1\u53c8\u6ca1\u6709\u5947\u5f02\u6027</li> <li>\u53ea\u662f\u4e0d\u591f\u76f4\u89c2+\u8fd0\u7b97\u590d\u6742</li> </ul> </li> <li>\\(\\displaystyle q=q_0+q_1\\mathrm{i}+\\mathrm{q}_2\\mathrm{j}+\\mathrm{q}_3\\mathrm{k}\\)</li> </ul> \\[ \\begin{cases}\\mathbf{i}^2=\\mathbf{j}^2=\\mathbf{k}^2=-1\\\\\\mathbf{ij}=\\mathbf{k},\\mathbf{ji}=-\\mathbf{k}\\\\\\mathbf{jk}=\\mathbf{i},\\mathbf{kj}=-\\mathbf{i}\\\\\\mathbf{ki}=\\mathbf{j},\\mathbf{ik}=-\\mathbf{j}\\end{cases} \\] <ul> <li>(\u4e5f\u8bb8\u53ef\u4ee5\u7528\u5ea6\u89c4\u6765\u8868\u793a\uff1f)</li> <li>\\(\\displaystyle \\boldsymbol{q}=\\left[s,\\boldsymbol{v}\\right]^\\mathrm{T},\\quad s=q_0\\in\\mathbb{R},\\quad\\boldsymbol{v}=\\left[q_1,q_2,q_3\\right]^\\mathrm{T}\\in\\mathbb{R}^3.\\)</li> <li>\u4e66\u4e0a\u6ca1\u5199\u76f4\u89c2\u7684\u51e0\u4f55\u5bf9\u5e94</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#342","title":"3.4.2 \u56db\u5143\u6570\u7684\u8fd0\u7b97","text":"<ul> <li>\u4e58\u6cd5: \\(\\displaystyle \\boldsymbol{q}_a\\boldsymbol{q}_b=\\begin{bmatrix}s_as_b-\\boldsymbol{v}_a^\\mathrm{T}\\boldsymbol{v}_b,s_a\\boldsymbol{v}_b+s_b\\boldsymbol{v}_a+\\boldsymbol{v}_a\\times\\boldsymbol{v}_b\\end{bmatrix}^\\mathrm{T}.\\)<ul> <li>\u7531\u4e8e\u6700\u540e\u4e00\u9879\u7684\u5b58\u5728\uff0c\u4e58\u6cd5\u4e0d\u5177\u6709\u4ea4\u6362\u5f8b</li> </ul> </li> <li>\u5171\u8f6d: \\(\\displaystyle q_a^*=s_a-x_a\\mathrm{i}-\\mathrm{y_aj}-\\mathrm{z_ak}=[\\mathrm{s_a},-\\mathrm{v_a}]^\\mathrm{T}.\\)<ul> <li>\\(\\displaystyle q^*q=qq^*=[s_a^2+\\boldsymbol{v}^\\mathrm{T}\\boldsymbol{v},\\boldsymbol{0}]^\\mathrm{T}.\\)</li> </ul> </li> <li>\u9006: \\(\\displaystyle q^{-1}=q^*/\\|q\\|^2.\\)<ul> <li>\\(\\displaystyle (\\boldsymbol{q}_a\\boldsymbol{q}_b)^{-1}=\\boldsymbol{q}_b^{-1}\\boldsymbol{q}_a^{-1}.\\)</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#343","title":"3.4.3 \u7528\u56db\u5143\u6570\u8868\u793a\u65cb\u8f6c","text":"<ul> <li>\u5148\u8868\u793a\u4e09\u7ef4\u7a7a\u95f4\u70b9:<ul> <li>\\(\\displaystyle p=[0,x,y,z]^{\\mathrm{T}}=[0,\\boldsymbol{v}]^{\\mathrm{T}}.\\)</li> </ul> </li> <li>\u518d\u65cb\u8f6c:<ul> <li>\\(\\displaystyle p'=qpq^{-1}.\\)</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#344","title":"3.4.4 \u56db\u5143\u6570\u5230\u5176\u4ed6\u65cb\u8f6c\u8868\u793a\u7684\u8f6c\u6362","text":"<ul> <li>\u8bbe \\(\\displaystyle \\boldsymbol{q} = [s,\\boldsymbol{v}]^\\mathrm{T}\\)<ul> <li>\\(\\displaystyle \\boldsymbol{q}^+=\\begin{bmatrix}s&amp;-\\boldsymbol{v}^\\mathrm{T}\\\\\\\\\\boldsymbol{v}&amp;s\\boldsymbol{I}+\\boldsymbol{v}^\\wedge\\end{bmatrix},\\quad\\boldsymbol{q}^\\oplus=\\begin{bmatrix}s&amp;-\\boldsymbol{v}^\\mathrm{T}\\\\\\\\\\boldsymbol{v}&amp;s\\boldsymbol{I}-\\boldsymbol{v}^\\wedge\\end{bmatrix}.\\)</li> <li>\\(\\displaystyle q_1^+q_2=\\begin{bmatrix}s_1&amp;-\\boldsymbol{v}_1^\\mathrm{T}\\\\\\\\\\boldsymbol{v}_1&amp;s_1\\boldsymbol{I}+\\boldsymbol{v}_1^\\wedge\\end{bmatrix}\\begin{bmatrix}s_2\\\\\\\\\\boldsymbol{v}_2\\end{bmatrix}=\\begin{bmatrix}-\\boldsymbol{v}_1^\\mathrm{T}\\boldsymbol{v}_2+s_1s_2\\\\\\\\s_1\\boldsymbol{v}_2+s_2\\boldsymbol{v}_1+\\boldsymbol{v}_1^\\wedge\\boldsymbol{v}_2\\end{bmatrix}=\\boldsymbol{q}_1\\boldsymbol{q}_2.\\)</li> <li>\u540c\u7406\u53ef\u8bc1:<ul> <li>\\(\\displaystyle q_1q_2=q_1^+q_2=q_2^\\oplus q_1.\\)</li> </ul> </li> </ul> </li> <li>\u518d\u6765\u8003\u8651\u65cb\u8f6c:<ul> <li>\\(\\displaystyle \\begin{aligned}p^{\\prime}&amp;=qpq^{-1}=q^{+}p^{+}q^{-1}\\\\&amp;=q^{+}q^{-1^{\\oplus}}p.\\end{aligned}\\)</li> <li>\u4e8e\u662f\u53ef\u4ee5\u5f97\u5230:<ul> <li>\\(\\displaystyle \\boldsymbol{q}^{+}\\big(\\boldsymbol{q}^{-1}\\big)^{\\oplus}=\\begin{bmatrix}s&amp;-\\boldsymbol{v}^{\\mathrm{T}}\\\\\\boldsymbol{v}&amp;s\\boldsymbol{I}+\\boldsymbol{v}^{\\wedge}\\end{bmatrix}\\begin{bmatrix}s&amp;\\boldsymbol{v}^{\\mathrm{T}}\\\\-\\boldsymbol{v}&amp;s\\boldsymbol{I}+\\boldsymbol{v}^{\\wedge}\\end{bmatrix}=\\begin{bmatrix}1&amp;\\boldsymbol{0}\\\\\\boldsymbol{0}^{\\mathrm{T}}&amp;\\boldsymbol{v}\\boldsymbol{v}^{\\mathrm{T}}+s^{2}\\boldsymbol{I}+2s\\boldsymbol{v}^{\\wedge}+\\left(\\boldsymbol{v}^{\\wedge}\\right)^{2}\\end{bmatrix}.\\)</li> <li>\u5373: \\(\\displaystyle R=\\boldsymbol{v}\\boldsymbol{v}^\\mathrm{T}+s^2\\boldsymbol{I}+2s\\boldsymbol{v}^\\wedge+\\left(\\boldsymbol{v}^\\wedge\\right)^2.\\)</li> </ul> </li> </ul> </li> </ul> \\[ \\begin{aligned} \\operatorname{tr}(R)&amp; =\\mathbf{tr}(\\boldsymbol{vv}^\\mathrm{T}+3s^2+2s\\cdot0+\\mathbf{tr}((\\boldsymbol{v}^\\wedge)^2) \\\\ &amp;=v_{1}^{2}+v_{2}^{2}+v_{3}^{2}+3s^{2}-2(v_{1}^{2}+v_{2}^{2}+v_{3}^{2}) \\\\ &amp;=(1-s^2)+3s^2-2(1-s^2) \\\\ &amp;=4s^2-1. \\end{aligned} \\] <ul> <li>\u5373 \\(\\displaystyle \\theta=2\\arccos s.\\)</li> <li>\u518d\u52a0\u4e0a\u65cb\u8f6c\u8f74:</li> </ul> \\[ \\begin{cases}\\theta=2\\arccos q_0\\\\ [n_x,n_y,n_z]^\\mathrm{T}=[q_1,q_2,q_3]^\\mathrm{T}/\\sin\\frac{\\theta}{2}\\end{cases}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#35","title":"3.5 \u76f8\u4f3c\u3001\u4eff\u5c04\u3001\u5c04\u5f71\u53d8\u6362","text":"<ol> <li>\u76f8\u4f3c\u53d8\u6362:</li> </ol> \\[ \\boldsymbol{T}_S=\\begin{bmatrix}s\\boldsymbol{R}&amp;t\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}. \\] <p>\u5141\u8bb8\u7f29\u653e\uff0c\u76f8\u4f3c\u53d8\u6362\u7fa4: Sim (3) 2. \u4eff\u5c04\u53d8\u6362:</p> \\[ T_A=\\begin{bmatrix}A&amp;t\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}. \\] <p>\u53ea\u4fdd\u8bc1\u5e73\u884c\u5173\u7cfb 3. \u5c04\u5f71\u53d8\u6362</p> \\[ T_P=\\begin{bmatrix}A&amp;t\\\\\\\\a^\\mathrm{T}&amp;v\\end{bmatrix}. \\] <p>\u603b\u7ed3\u4e00\u4e0b:</p> \\[ \\begin{array}{c|c|c|c}\\hline\\text{\u53d8\u6362\u540d\u79f0}&amp;\\text{\u77e9\u9635\u5f62\u5f0f}&amp;\\text{\u81ea\u7531\u5ea6}&amp;\\text{\u4e0d\u53d8\u6027\u8d28}\\\\\\hline\\text{\u6b27\u6c0f\u53d8\u6362}&amp;\\begin{bmatrix}R&amp;t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}&amp;6&amp;\\text{\u957f\u5ea6\u3001\u5939\u89d2\u3001\u4f53\u79ef}\\\\\\text{\u76f8\u4f3c\u53d8\u6362}&amp;\\begin{bmatrix}sR&amp;t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}&amp;7&amp;\\text{\u4f53\u79ef\u6bd4}\\\\\\text{\u4eff\u5c04\u53d8\u6362}&amp;\\begin{bmatrix}A&amp;t\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}&amp;12&amp;\\text{\u5e73\u884c\u6027\u3001\u4f53\u79ef\u6bd4}\\\\\\text{\u5c04\u5f71\u53d8\u6362}&amp;\\begin{bmatrix}A&amp;t\\\\a^\\mathrm{T}&amp;v\\end{bmatrix}&amp;15&amp;\\text{\u63a5\u89e6\u5e73\u9762\u7684\u76f8\u4ea4\u548c\u76f8\u5207}\\\\\\hline\\end{array} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#36-eigen","title":"3.6 \u5b9e\u8df5: Eigen \u51e0\u4f55\u6a21\u5757","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#361-eigen","title":"3.6.1 Eigen \u51e0\u4f55\u6a21\u5757\u7684\u6570\u636e\u6f14\u793a","text":"<p>\u518d\u8bf4\u5427\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#362","title":"3.6.2 \u5b9e\u9645\u7684\u5750\u6807\u53d8\u6362\u4f8b\u5b50","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#37","title":"3.7 \u53ef\u89c6\u5316\u6f14\u793a","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#371","title":"3.7.1 \u663e\u793a\u8fd0\u52a8\u8f68\u8ff9","text":"<ul> <li>\u7528 Pangolin \u5e93</li> <li>TODO</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#372","title":"3.7.2 \u663e\u793a\u76f8\u673a\u7684\u4f4d\u59ff","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#38","title":"3.8 \u4e60\u9898","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#4","title":"4 \u674e\u7fa4\u548c\u674e\u4ee3\u6570","text":"<ul> <li>\u7531\u4e8e\u65cb\u8f6c\u77e9\u9635\u672c\u8eab\u5e26\u6709\u7ea6\u675f\uff08\u6b63\u4ea4\u4e14\u884c\u5217\u5f0f\u4e3a 1\uff09\uff0c\u8ba9\u4f18\u5316\u53d8\u5f97\u56f0\u96be\u3002</li> <li>\u6240\u4ee5\u6211\u4eec\u5f15\u5165\u674e\u7fa4-\u674e\u4ee3\u6570\u95f4\u7684\u8f6c\u6362\u5173\u7cfb\uff0c\u628a\u4f4d\u59ff\u4f30\u8ba1\u53d8\u6210\u65e0\u7ea6\u675f\u7684\u4f18\u5316\u95ee\u9898</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#41","title":"4.1 \u674e\u7fa4\u548c\u674e\u4ee3\u6570\u57fa\u7840","text":"<ul> <li>\u4e09\u7ef4\u65cb\u8f6c\u77e9\u9635\u6784\u6210\u4e86\u7279\u6b8a\u6b63\u4ea4\u7fa4 \\(\\displaystyle \\boldsymbol{SO}(3)\\)</li> <li>\u53d8\u6362\u77e9\u9635\u6784\u6210\u4e86\u7279\u6b8a\u6b27\u6c0f\u7fa4 \\(\\displaystyle \\boldsymbol{SE}(3)\\)<ul> <li>\u4f46\u662f\u4ed6\u4eec\u90fd\u5bf9\u52a0\u6cd5\u4e0d\u5c01\u95ed</li> <li>\u5bf9\u4e58\u6cd5\u5c01\u95ed</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#411","title":"4.1.1 \u7fa4","text":"<ul> <li>\\(\\displaystyle G = (A,\\cdot)\\) \u6ee1\u8db3:<ul> <li>\u5c01\u95ed\u6027</li> <li>\u7ed3\u5408\u5f8b</li> <li>\u5e7a\u5143</li> <li>\u9006</li> </ul> </li> <li>\u674e\u7fa4\u662f\u5177\u6709\u8fde\u7eed\uff08\u5149\u6ed1\uff09\u6027\u8d28\u7684\u7fa4</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#412","title":"4.1.2 \u674e\u4ee3\u6570\u7684\u5f15\u51fa","text":"<ul> <li>\\(\\displaystyle \\boldsymbol{R}\\boldsymbol{R}^\\mathrm{T} = \\boldsymbol{I}\\)</li> <li>\u6211\u4eec\u6613\u5f97: \\(\\displaystyle \\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}=-\\left(\\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}\\right)^\\mathrm{T}.\\)<ul> <li>\u5373 \\(\\displaystyle \\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}\\) \u662f\u53cd\u5bf9\u79f0</li> </ul> </li> <li>\u800c\u5bf9\u4e8e\u4efb\u610f\u53cd\u5bf9\u79f0\u77e9\u9635\uff0c\u6211\u4eec\u90fd\u53ef\u4ee5\u627e\u5230\u552f\u4e00\u4e0e\u4e4b\u5bf9\u5e94\u7684\u5411\u91cf<ul> <li>\\(\\displaystyle \\dot{\\boldsymbol{R}}(t)\\boldsymbol{R}(t)^\\mathrm{T}=\\boldsymbol{\\phi}(t)^{\\wedge}.\\)</li> <li>\\(\\displaystyle \\dot{\\boldsymbol{R}}(t)=\\phi(t)^{\\wedge}\\boldsymbol{R}(t)=\\begin{bmatrix}0&amp;-\\phi_3&amp;\\phi_2\\\\\\phi_3&amp;0&amp;-\\phi_1\\\\-\\phi_2&amp;\\phi_1&amp;0\\end{bmatrix}\\boldsymbol{R}(t).\\) \u8003\u8651 \\(\\displaystyle t_{0} = 0\\) \u548c \\(\\displaystyle \\boldsymbol{R}(0) = \\boldsymbol{I}\\) \u65f6:</li> </ul> </li> </ul> \\[ \\begin{aligned} R(t)&amp; \\approx\\boldsymbol{R}\\left(t_{0}\\right)+\\dot{\\boldsymbol{R}}\\left(t_{0}\\right)\\left(t-t_{0}\\right) \\\\ &amp;=I+\\phi(t_0)^{\\wedge}(t). \\end{aligned} \\] <p>\u4e8e\u662f\u6c42\u5bfc-&gt;\u4e00\u4e2a\u7b97\u7b26 \\(\\displaystyle \\phi\\) \uff0c\u88ab\u79f0\u4e3a \\(\\displaystyle \\boldsymbol{SO}(3)\\) \u539f\u70b9\u9644\u8fd1\u7684\u6b63\u5207\u7a7a\u95f4\uff08Tangent Space\uff09 \u8bbe\u5728 \\(\\displaystyle t_{0}\\) \u9644\u8fd1\uff0c\\(\\displaystyle \\phi\\) \u4fdd\u6301\u5e38\u6570 \\(\\displaystyle \\phi(t_{0})=\\phi_{0}\\)\uff0c</p> \\[ \\dot{\\boldsymbol{R}}(t)=\\boldsymbol{\\phi}(t_0)^\\wedge\\boldsymbol{R}(t)=\\boldsymbol{\\phi}_0^\\wedge\\boldsymbol{R}(t). \\] <p>\u518d\u6709 \\(\\displaystyle \\boldsymbol{R}(0) = \\boldsymbol{I}\\)\uff0c\u89e3\u7684:</p> \\[ \\boldsymbol{R}(t)=\\exp\\left(\\boldsymbol{\\phi}_{0}^{\\wedge}t\\right). \\] <ul> <li>\\(\\displaystyle \\phi\\) \u6b63\u662f\u5bf9\u5e94\u5230 \\(\\displaystyle SO(3)\\) \u4e0a\u7684\u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{so}(3)\\)</li> <li>\\(\\displaystyle \\begin{aligned}&amp;\\text{\u5176\u6b21,\u7ed9\u5b9a\u67d0\u4e2a\u5411\u91cf }\\phi\\text{ \u65f6,\u77e9\u9635\u6307\u6570}\\exp(\\phi^{\\wedge})\\text{ \u5982\u4f55\u8ba1\u7b97? \u53cd\u4e4b,\u7ed9\u5b9a }R\\text{ \u65f6,\u80fd\u5426\u6709\u76f8\u53cd}\\\\&amp;\\text{\u7684\u8fd0\u7b97\u6765\u8ba1\u7b97 }\\phi?\\text{ \u4e8b\u5b9e\u4e0a,\u8fd9\u6b63\u662f\u674e\u7fa4\u4e0e\u674e\u4ee3\u6570\u95f4\u7684\u6307\u6570}/\\text{\u5bf9\u6570\u6620\u5c04\u3002}\\end{aligned}\\)</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#413","title":"4.1.3 \u674e\u4ee3\u6570\u7684\u5b9a\u4e49","text":"<p>\u674e\u4ee3\u6570\u7531\u4e00\u4e2a\u96c6\u5408 \\(\\displaystyle \\mathbb{V}\\)\u3001\u4e00\u4e2a\u6570\u57df \\(\\displaystyle \\mathbb{F}\\) \u548c\u4e00\u4e2a\u4e8c\u5143\u8fd0\u7b97 \\(\\displaystyle [,]\\) \u7ec4\u6210\u3002\u5982\u679c\u6ee1\u8db3\u4ee5\u4e0b\u51e0\u6761\u6027\u8d28\uff0c\u5219\u79f0 ( \\(\\displaystyle \\mathbb{V},\\mathbb{F},[,]\\)) \u4e3a\u4e00\u4e2a\u674e\u4ee3\u6570\uff0c\u8bb0\u4f5c \\(\\displaystyle \\mathfrak{g}\\)\u3002</p> <ol> <li>\u5c01\u95ed\u6027</li> <li>\u53cc\u7ebf\u6027</li> <li>\u81ea\u53cd\u6027 \\(\\displaystyle \\quad\\forall \\boldsymbol{X}\\in\\mathbb{V},[\\boldsymbol{X},\\boldsymbol{X}]=0\\)</li> <li>\u96c5\u53ef\u6bd4\u7b49\u4ef7 \\(\\displaystyle \\forall X,Y,Z\\in\\mathbb{V},[X,[Y,Z]]+[Z,[X,Y]]+[Y,[Z,X]]=0.\\) \u5176\u4e2d\u4e8c\u5143\u8fd0\u7b97\u88ab\u79f0\u4e3a\u674e\u62ec\u53f7\u3002 eg: \u53c9\u79ef\u662f\u4e00\u79cd\u674e\u62ec\u53f7</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#414-displaystyle-mathfrakso3","title":"4.1.4 \u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{so}(3)\\)","text":"<p>\\(\\displaystyle \\boldsymbol{\\Phi}=\\boldsymbol{\\phi}^{\\wedge}=\\begin{bmatrix}0&amp;-\\phi_3&amp;\\phi_2\\\\\\\\\\phi_3&amp;0&amp;-\\phi_1\\\\\\\\-\\phi_2&amp;\\phi_1&amp;0\\end{bmatrix}\\in\\mathbb{R}^{3\\times3}.\\) \u6240\u4ee5\u4e24\u4e2a\u5411\u91cf \\(\\displaystyle \\phi_{1},\\phi_{2}\\) \u7684\u674e\u62ec\u53f7\u4e3a:</p> \\[ [\\phi_1,\\phi_2]=(\\boldsymbol{\\Phi}_1\\boldsymbol{\\Phi}_2-\\boldsymbol{\\Phi}_2\\boldsymbol{\\Phi}_1)^\\vee. \\] \\[ \\mathfrak{so}(3)=\\left\\{\\phi\\in\\mathbb{R}^3,\\boldsymbol{\\Phi}=\\phi^\\wedge\\in\\mathbb{R}^{3\\times3}\\right\\}. \\] \\[ R=\\exp(\\phi^{\\wedge}). \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#415-displaystyle-mathfrakse3","title":"4.1.5 \u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{se}(3)\\)","text":"\\[ \\mathfrak{se}(3)=\\left\\{\\boldsymbol{\\xi}=\\begin{bmatrix}\\boldsymbol{\\rho}\\\\\\boldsymbol{\\phi}\\end{bmatrix}\\in\\mathbb{R}^6,\\boldsymbol{\\rho}\\in\\mathbb{R}^3,\\boldsymbol{\\phi}\\in\\mathfrak{so}(3),\\boldsymbol{\\xi}^\\wedge=\\begin{bmatrix}\\boldsymbol{\\phi}^\\wedge&amp;\\boldsymbol{\\rho}\\\\\\boldsymbol{0}^\\mathrm{T}&amp;0\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}\\right\\}. \\] <p>\u524d\u4e09\u7ef4\u4e3a\u5e73\u79fb\uff0c\u540e\u4e09\u7ef4\u4e3a\u65cb\u8f6c\uff08\u5b9e\u8d28\u4e0a\u662f \\(\\displaystyle \\mathfrak{so}(3)\\) \u5143\u7d20\uff09</p> \\[ \\xi^\\wedge=\\begin{bmatrix}\\phi^\\wedge&amp;\\rho\\\\0^\\mathrm{T}&amp;0\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}. \\] <p>\u540c\u6837\u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{se}(3)\\) \u4e5f\u6709\u7c7b\u4f3c\u4e8e \\(\\displaystyle \\mathfrak{so}(3)\\) \u7684\u674e\u62ec\u53f7:</p> \\[ [\\xi_1,\\xi_2]=\\left(\\xi_1^\\wedge\\xi_2^\\wedge-\\xi_2^\\wedge\\xi_1^\\wedge\\right)^\\vee. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#42","title":"4.2 \u6307\u6570\u4e0e\u5bf9\u6570\u6620\u5c04","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#421-so3","title":"4.2.1 SO(3)\u4e0a\u7684\u6307\u6570\u6620\u5c04","text":"<ul> <li>Exponential Map</li> <li>\u9996\u5148\u4efb\u610f\u77e9\u9635\u7684\u6307\u6570\u6620\u5c04\u53ef\u4ee5\u5199\u6210\u4e00\u4e2a\u6cf0\u52d2\u5c55\u5f00\uff08\u6536\u655b\u7684\u65f6\u5019\uff09</li> </ul> \\[ \\exp(A)=\\sum_{n=0}^\\infty\\frac1{n!}A^n. \\] <ul> <li>\u5e94\u7528\u5230 \\(\\displaystyle \\mathfrak{so}(3)\\) \u4e2d:</li> </ul> \\[ \\exp(\\phi^\\wedge)=\\sum_{n=0}^\\infty\\frac{1}{n!}(\\phi^\\wedge)^n. \\] <ul> <li>\u6211\u4eec\u53ef\u4ee5\u628a \\(\\displaystyle \\phi\\) \u8868\u793a\u6210 \\(\\displaystyle \\theta \\boldsymbol{a}\\)\uff0c\u5bf9\u4e8e \\(\\displaystyle \\boldsymbol{a}^\\wedge\\):</li> </ul> \\[ \\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}=\\begin{bmatrix}-a_2^2-a_3^2&amp;a_1a_2&amp;a_1a_3\\\\\\\\a_1a_2&amp;-a_1^2-a_3^2&amp;a_2a_3\\\\\\\\a_1a_3&amp;a_2a_3&amp;-a_1^2-a_2^2\\end{bmatrix}=\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}-\\boldsymbol{I}, \\] <p>\u548c</p> \\[ a^{\\wedge}a^{\\wedge}a^{\\wedge}=a^{\\wedge}(aa^{\\mathrm{T}}-I)=-a^{\\wedge}. \\] <p>\u4e8e\u662f\u6211\u4eec\u53ef\u4ee5\u5316\u7b80:</p> \\[ \\begin{aligned} \\exp\\left(\\phi^\\wedge\\right)&amp; =\\exp\\left(\\theta\\boldsymbol{a}^\\wedge\\right)=\\sum_{n=0}^\\infty\\frac1{n!}\\left(\\theta\\boldsymbol{a}^\\wedge\\right)^n \\\\ &amp;=I+\\theta\\boldsymbol{a}^{\\wedge}+\\frac{1}{2!}\\theta^{2}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}+\\frac{1}{3!}\\theta^{3}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}+\\frac{1}{4!}\\theta^{4}(\\boldsymbol{a}^{\\wedge})^{4}+\\cdots \\\\ &amp;=\\boldsymbol{a}\\boldsymbol{a}^{\\mathrm{T}}-\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}+\\theta\\boldsymbol{a}^{\\wedge}+\\frac{1}{2!}\\theta^{2}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge}-\\frac{1}{3!}\\theta^{3}\\boldsymbol{a}^{\\wedge}-\\frac{1}{4!}\\theta^{4}(\\boldsymbol{a}^{\\wedge})^{2}+\\cdots \\\\ &amp;=\\boldsymbol{a}\\boldsymbol{a}^{\\mathsf{T}}+\\underbrace{\\left(\\theta-\\frac{1}{3!}\\theta^{3}+\\frac{1}{5!}\\theta^{5}-\\cdots\\right)}_{\\sin\\theta}\\boldsymbol{a}^{\\wedge}-\\underbrace{\\left(1-\\frac{1}{2!}\\theta^{2}+\\frac{1}{4!}\\theta^{4}-\\cdots\\right)}_{\\cos\\theta}\\boldsymbol{a}^{\\wedge}\\boldsymbol{a}^{\\wedge} \\\\ &amp;=a^\\wedge a^\\wedge+I+\\sin\\theta a^\\wedge-\\cos\\theta a^\\wedge a^\\wedge \\\\ &amp;=(1-\\cos\\theta)\\boldsymbol{a}^\\wedge\\boldsymbol{a}^\\wedge+\\boldsymbol{I}+\\sin\\theta\\boldsymbol{a}^\\wedge \\\\ &amp;=\\cos\\theta\\boldsymbol{I}+(1-\\cos\\theta)\\boldsymbol{aa}^\\mathrm{T}+\\sin\\theta\\boldsymbol{a}^\\mathrm{\\wedge}. \\end{aligned} \\] <p>\u6700\u540e\u5f97\u5230:</p> \\[ \\exp(\\theta\\boldsymbol{a}^\\wedge)=\\cos\\theta\\boldsymbol{I}+(1-\\cos\\theta)\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}+\\sin\\theta\\boldsymbol{a}^\\wedge. \\] <p>\u6240\u4ee5 \\(\\displaystyle \\mathfrak{so}(3)\\) \u5c31\u662f\u65cb\u91cf\u5411\u91cf\u7ec4\u6210\u7684\u7a7a\u95f4\uff0c\u800c\u6307\u6570\u6620\u5c04\u5373\u7f57\u5fb7\u91cc\u683c\u65af\u516c\u5f0f\u3002</p> <ul> <li>\u901a\u8fc7\u4e0a\u9762\u7684\u516c\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u628a \\(\\displaystyle \\mathfrak{so}(3)\\) \u4e2d\u4efb\u610f\u5411\u91cf\u5bf9\u5e94\u5230 SO (3) \u4e2d\u7684\u65cb\u8f6c\u77e9\u9635</li> <li>\u53cd\u8fc7\u6765\u4e5f\u662f\u53ef\u4ee5\u7684</li> </ul> \\[ \\phi=\\ln\\left(\\boldsymbol{R}\\right)^\\vee=\\left(\\sum_{n=0}^\\infty\\frac{\\left(-1\\right)^n}{n+1}\\left(\\boldsymbol{R}-\\boldsymbol{I}\\right)^{n+1}\\right)^\\vee. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#422-se-3","title":"4.2.2 SE (3) \u4e0a\u7684\u6307\u6570\u6620\u5c04","text":"<p>\u540c\u6837\u7684\u63a8\u5bfc\u65b9\u5f0f:</p> \\[ \\begin{aligned} \\exp\\left(\\xi^{\\wedge}\\right)&amp; =\\begin{bmatrix}\\sum_{n=0}^{\\infty}\\frac{1}{n!}(\\phi^{\\wedge})^{n}&amp;\\sum_{n=0}^{\\infty}\\frac{1}{(n+1)!}(\\phi^{\\wedge})^{n}\\rho\\\\\\\\\\mathbf{0}^{\\mathrm{T}}&amp;1\\end{bmatrix} \\\\ &amp;\\stackrel{\\Delta}{=}\\begin{bmatrix}R&amp;J\\rho\\\\\\\\0^\\mathrm{T}&amp;1\\end{bmatrix}=T. \\end{aligned} \\] \\[ \\begin{aligned} \\sum_{n=0}^{\\infty}\\frac{1}{(n+1)!}(\\phi^{\\wedge})^{n}&amp; =\\boldsymbol{I}+\\frac{1}{2!}\\theta\\boldsymbol{a}^{\\wedge}+\\frac{1}{3!}\\theta^{2}{(\\boldsymbol{a}^{\\wedge})}^{2}+\\frac{1}{4!}\\theta^{3}{(\\boldsymbol{a}^{\\wedge})}^{3}+\\frac{1}{5!}\\theta^{4}{(\\boldsymbol{a}^{\\wedge})}^{4}\\cdots  \\\\ &amp;=\\frac{1}{\\theta}\\left(\\frac{1}{2!}\\theta^{2}-\\frac{1}{4!}\\theta^{4}+\\cdots\\right)(\\boldsymbol{a}^{\\wedge})+\\frac{1}{\\theta}\\left(\\frac{1}{3!}\\theta^{3}-\\frac{1}{5}\\theta^{5}+\\cdots\\right)(\\boldsymbol{a}^{\\wedge})^{2}+\\boldsymbol{I} \\\\ &amp;=\\frac1\\theta\\left(1-\\cos\\theta\\right)\\left(\\boldsymbol{a}^{\\wedge}\\right)+\\frac{\\theta-\\sin\\theta}\\theta\\left(\\boldsymbol{a}\\boldsymbol{a}^{\\mathrm{T}}-\\boldsymbol{I}\\right)+\\boldsymbol{I} \\\\ &amp;=\\frac{\\sin\\theta}\\theta\\boldsymbol{I}+\\left(1-\\frac{\\sin\\theta}\\theta\\right)\\boldsymbol{aa}^\\mathrm{T}+\\frac{1-\\cos\\theta}\\theta\\boldsymbol{a}^\\mathrm{\\wedge}\\overset{\\mathrm{def}}{\\operatorname*{=}}\\boldsymbol{J}. \\end{aligned} \\] \\[ \\boldsymbol{J}=\\frac{\\sin\\theta}{\\theta}\\boldsymbol{I}+\\left(1-\\frac{\\sin\\theta}{\\theta}\\right)\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}+\\frac{1-\\cos\\theta}{\\theta}\\boldsymbol{a}^\\mathrm{\\wedge}. \\] <p>4.28 \u6ca1\u770b\u61c2 </p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#43","title":"4.3 \u674e\u4ee3\u6570\u6c42\u5bfc\u4e0e\u6270\u52a8\u6a21\u578b","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#431-bch","title":"4.3.1 BCH \u516c\u5f0f\u4e0e\u8fd1\u4f3c\u5f62\u5f0f","text":"<p>\u63a2\u7a76\u5982\u4e0b\u5f0f\u5b50\u662f\u5426\u6210\u7acb:</p> \\[ \\ln\\left(\\exp\\left(A\\right)\\exp\\left(B\\right)\\right)=A+B ? \\] <p>\u4f46\u5b83\u5e76\u4e0d\u6210\u7acb\u3002\u4e24\u4e2a\u674e\u4ee3\u6570\u6307\u6570\u6620\u5c04\u4e58\u79ef\u7684\u5b8c\u6574\u5f62\u5f0f\uff0c\u7531 Baker-Campbell-Hausdorff \u7ed9\u51fa:</p> \\[ \\ln\\left(\\exp\\left(A\\right)\\exp\\left(B\\right)\\right)=A+B+\\frac{1}{2}\\left[A,B\\right]+\\frac{1}{12}\\left[A,\\left[A,B\\right]\\right]-\\frac{1}{12}\\left[B,\\left[A,B\\right]\\right]+\\cdots \\] <p>\u7279\u522b\u7684\uff0c\u5f53 \\(\\displaystyle \\phi_{1}\\) \u6216 \\(\\displaystyle \\phi_{2}\\) \u4e3a\u5c0f\u91cf\u65f6\uff0c\u5c0f\u91cf\u4e8c\u6b21\u4ee5\u4e0a\u7684\u9879\u90fd\u53ef\u4ee5\u88ab\u5ffd\u7565\uff0c\u6b64\u65f6\u7684\u7ebf\u6027\u8fd1\u4f3c\u8868\u8fbe:</p> \\[ \\ln\\left(\\exp\\left(\\phi_1^\\wedge\\right)\\exp\\left(\\phi_2^\\wedge\\right)\\right)^\\vee\\approx\\begin{cases}J_l(\\phi_2)^{-1}\\phi_1+\\phi_2&amp;\\text{\u5f53}\\phi_1\\text{\u4e3a\u5c0f\u91cf},\\\\J_r(\\phi_1)^{-1}\\phi_2+\\phi_1&amp;\\text{\u5f53}\\phi_2\\text{\u4e3a\u5c0f\u91cf}.\\end{cases} \\] \\[ \\boldsymbol{J}_{l}=\\frac{\\sin\\theta}{\\theta}\\boldsymbol{I}+\\left(1-\\frac{\\sin\\theta}{\\theta}\\right)\\boldsymbol{a}\\boldsymbol{a}^\\mathrm{T}+\\frac{1-\\cos\\theta}{\\theta}\\boldsymbol{a}^\\mathrm{\\wedge}. \\] \\[ \\boldsymbol{J}_{\\ell}^{-1}=\\frac{\\theta}{2}\\cot\\frac{\\theta}{2}\\boldsymbol{I}+\\left(1-\\frac{\\theta}{2}\\cot\\frac{\\theta}{2}\\right)\\boldsymbol{a}\\boldsymbol{a}^{\\mathrm{T}}-\\frac{\\theta}{2}\\boldsymbol{a}^{\\wedge}. \\] \\[ J_{r}(\\phi)=J_{l}(-\\phi). \\] <p>\u4e8e\u662f\u6211\u4eec\u5c31\u53ef\u4ee5\u8c08\u8bba\u674e\u7fa4\u4e58\u6cd5\u4e0e\u674e\u4ee3\u6570\u52a0\u6cd5\u7684\u5173\u7cfb\u4e86\u3002 \\(\\displaystyle \\boldsymbol{R}\\) \u5bf9\u5e94 \\(\\displaystyle \\phi\\)\uff0c\u6211\u4eec\u7ed9\u5b83\u5de6\u4e58\u4e00\u4e2a\u5fae\u5c0f\u65cb\u8f6c\uff0c\u8bb0\u4f5c \\(\\displaystyle \\Delta \\boldsymbol{R}\\)</p> \\[ \\exp\\left(\\Delta\\phi^{\\wedge}\\right)\\exp\\left(\\phi^{\\wedge}\\right)=\\exp\\left(\\left(\\phi+J_{l}^{-1}\\left(\\phi\\right)\\Delta\\phi\\right)^{\\wedge}\\right). \\] \\[ \\exp\\left(\\left(\\phi+\\Delta\\phi\\right)^{\\wedge}\\right)=\\exp\\left(\\left(J_{l}\\Delta\\phi\\right)^{\\wedge}\\right)\\exp\\left(\\phi^{\\wedge}\\right)=\\exp\\left(\\phi^{\\wedge}\\right)\\exp\\left(\\left(J_{r}\\Delta\\phi\\right)^{\\wedge}\\right). \\] <p>\u5bf9\u4e8e SE (3) \u6211\u4eec\u4e5f\u6709:</p> \\[ \\exp\\left(\\Delta\\xi^{\\wedge}\\right)\\exp\\left(\\xi^{\\wedge}\\right)\\approx\\exp\\left(\\left(\\mathcal{J}_{l}^{-1}\\Delta\\xi+\\xi\\right)^{\\wedge}\\right) \\] \\[ exp\\left(\\xi^{\\wedge}\\right)\\exp\\left(\\Delta\\xi^{\\wedge}\\right)\\approx\\exp\\left(\\left(\\mathcal{J}_{r}^{-1}\\Delta\\xi+\\xi\\right)^{\\wedge}\\right). \\] <p>\u552f\u4e00\u4e0d\u540c\u7684\u662f\u8fd9\u91cc\u7684 \\(\\displaystyle J_{l}\\) \u6bd4\u8f83\u590d\u6742\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#432-so-3","title":"4.3.2 SO (3) \u4e0a\u7684\u674e\u4ee3\u6570\u6c42\u5bfc","text":"\\[ z=T\\boldsymbol{p}+\\boldsymbol{w}. \\] <p>\u5176\u4e2d \\(\\displaystyle \\boldsymbol{w}\\) \u662f\u968f\u673a\u566a\u58f0\u3002</p> \\[ e=z-Tp. \\] <p>\u5047\u8bbe\u4e00\u5171\u6709 N \u4e2a\u8fd9\u6837\u7684\u8def\u6807\u70b9\u548c\u89c2\u6d4b:</p> \\[ \\min_{\\boldsymbol{T}}J(\\boldsymbol{T})=\\sum_{i=1}^N\\left\\|\\boldsymbol{z}_i-\\boldsymbol{T}\\boldsymbol{p}_i\\right\\|_2^2. \\] <p>most importantly\uff0c\u6211\u4eec\u4f1a\u6784\u5efa\u4e0e\u4f4d\u59ff\u6709\u5173\u7684\u51fd\u6570\uff0c\u5e76\u8ba8\u8bba\u8be5\u51fd\u6570\u5173\u4e8e\u4f4d\u59ff\u7684\u5bfc\u6570\uff0c\u4ee5\u8c03\u6574\u5f53\u524d\u7684\u4f30\u8ba1\u503c\u3002 \u4f7f\u7528\u674e\u4ee3\u6570\u89e3\u51b3\u6c42\u5bfc\u95ee\u9898\u7684\u601d\u8def\u5206\u4e3a\u4e24\u79cd:</p> <ol> <li>\u7528\u674e\u4ee3\u6570\u8868\u793a\u59ff\u6001\uff0c\u7136\u540e\u6839\u636e\u674e\u4ee3\u6570\u52a0\u6cd5\u5bf9\u674e\u4ee3\u6570\u6c42\u5bfc\u3002</li> <li>\u5bf9\u674e\u7fa4\u5de6\u4e58\u6216\u53f3\u4e58\u5fae\u5c0f\u6270\u52a8\uff0c\u7136\u540e\u5bf9\u8be5\u6270\u52a8\u6c42\u5bfc\uff0c\u79f0\u4e3a\u5de6\u6270\u52a8\u548c\u53f3\u6270\u52a8\u6a21\u578b\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#44","title":"4.4 \u674e\u4ee3\u6570\u6c42\u5bfc","text":"<p>\u8981\u8ba1\u7b97 \\(\\displaystyle \\frac{\\partial\\left(Rp\\right)}{\\partial R}\\), \u7531\u4e8eSO\uff083\uff09\u6ca1\u6709\u52a0\u6cd5\uff0c\u6211\u4eec\u8f6c\u800c\u8ba1\u7b97: \\(\\displaystyle \\frac{\\partial\\left(\\exp\\left(\\phi^{\\wedge}\\right)\\boldsymbol{p}\\right)}{\\partial\\boldsymbol{\\phi}}.\\)</p> \\[ \\begin{aligned} \\frac{\\partial\\left(\\exp\\left(\\phi^{\\wedge}\\right)\\boldsymbol{p}\\right)}{\\partial\\phi}&amp; =\\lim_{\\delta\\boldsymbol{\\phi}\\to0}\\frac{\\exp\\left(\\left(\\boldsymbol{\\phi}+\\delta\\boldsymbol{\\phi}\\right)^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\phi}} \\\\ &amp;=\\lim_{\\delta\\phi\\to0}\\frac{\\exp\\left(\\left(\\boldsymbol{J}_i\\delta\\boldsymbol{\\phi}\\right)^\\wedge\\right)\\exp\\left(\\boldsymbol{\\phi}^\\wedge\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^\\wedge\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\phi}} \\\\ &amp;=\\lim_{\\delta\\phi\\to0}\\frac{\\left(\\boldsymbol{I}+\\left(\\boldsymbol{J}_{l}\\delta\\boldsymbol{\\phi}\\right)^{\\wedge}\\right)\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\phi} \\\\ &amp;=\\lim_{\\delta\\phi\\to0}\\frac{\\left(\\boldsymbol{J}_{l}\\delta\\phi\\right)^{\\wedge}\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\phi} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\phi}\\to0}\\frac{-(\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p})^{\\wedge}\\boldsymbol{J}_{l}\\delta\\boldsymbol{\\phi}}{\\delta\\boldsymbol{\\phi}}=-(\\boldsymbol{R}\\boldsymbol{p})^{\\wedge}\\boldsymbol{J}_{l}. \\end{aligned} \\] <p>BCH \u7ebf\u6027\u8fd1\u4f3c+\u6cf0\u52d2\u5c55\u5f00\u53d6\u7ebf\u6027\u9879:</p> \\[ \\frac{\\partial\\left(\\boldsymbol{Rp}\\right)}{\\partial\\boldsymbol{\\phi}}=\\left(-\\boldsymbol{Rp}\\right)^{\\wedge}\\boldsymbol{J}_{l}. \\] <p>\u4f46\u662f\u8fd9\u91cc\u4ecd\u7136\u6709 \\(\\displaystyle \\boldsymbol{J}_{l}\\)</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#441","title":"4.4.1 \u6270\u52a8\u6a21\u578b\uff08\u5de6\u4e58\uff09","text":"<p>\\(\\displaystyle \\varphi\\) \u5bf9\u5e94\u5de6\u6270\u52a8 \\(\\displaystyle \\Delta \\boldsymbol{R}\\)</p> \\[ \\begin{aligned} \\frac{\\partial\\left(Rp\\right)}{\\partial\\varphi}&amp; =\\lim_{\\varphi\\to0}\\frac{\\exp\\left(\\varphi^{\\wedge}\\right)\\exp\\left(\\phi^{\\wedge}\\right)p-\\exp\\left(\\phi^{\\wedge}\\right)p}{\\varphi} \\\\ &amp;=\\lim_{\\varphi\\to0}\\frac{(\\boldsymbol{I}+\\boldsymbol{\\varphi}^{\\wedge})\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\phi}^{\\wedge}\\right)\\boldsymbol{p}}{\\varphi} \\\\ &amp;=\\lim_{\\varphi\\to0}\\frac{\\varphi^\\wedge Rp}\\varphi=\\lim_{\\varphi\\to0}\\frac{-\\left(Rp\\right)^\\wedge\\varphi}\\varphi=-\\left(Rp\\right)^\\wedge. \\end{aligned} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#442-se-3","title":"4.4.2 SE (3) \u4e0a\u7684\u674e\u4ee3\u6570\u6c42\u5bfc","text":"\\[ \\begin{aligned} \\frac{\\partial\\left(\\boldsymbol{T}\\boldsymbol{p}\\right)}{\\partial\\delta\\boldsymbol{\\xi}}&amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\boldsymbol{0}}\\frac{\\exp\\left(\\delta\\boldsymbol{\\xi}^{\\wedge}\\right)\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\xi} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\mathbf{0}}\\frac{\\left(\\boldsymbol{I}+\\delta\\boldsymbol{\\xi}^{\\wedge}\\right)\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}-\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\xi}} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to0}\\frac{\\delta\\boldsymbol{\\xi}^{\\wedge}\\exp\\left(\\boldsymbol{\\xi}^{\\wedge}\\right)\\boldsymbol{p}}{\\delta\\boldsymbol{\\xi}} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\mathbf{0}}\\frac{\\begin{bmatrix}\\delta\\boldsymbol{\\phi}^\\wedge&amp;\\delta\\boldsymbol{\\rho}\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;0\\end{bmatrix}\\begin{bmatrix}\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t}\\\\\\\\1\\end{bmatrix}}{\\delta\\boldsymbol{\\xi}} \\\\ &amp;=\\lim_{\\delta\\boldsymbol{\\xi}\\to\\boldsymbol{0}}\\frac{\\begin{bmatrix}\\delta\\boldsymbol{\\phi}^{\\wedge}\\left(\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t}\\right)+\\delta\\boldsymbol{\\rho}\\\\\\boldsymbol{0}^{\\mathrm{T}}\\end{bmatrix}}{[\\delta\\boldsymbol{\\rho},\\delta\\boldsymbol{\\phi}]^{\\mathrm{T}}}=\\begin{bmatrix}\\boldsymbol{I}&amp;-(\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t})^{\\wedge}\\\\\\boldsymbol{0}^{\\mathrm{T}}&amp;\\boldsymbol{0}^{\\mathrm{T}}\\end{bmatrix}\\stackrel{\\mathrm{def}}{=}(\\boldsymbol{T}\\boldsymbol{p})^{\\odot}. \\end{aligned} \\] \\[ \\frac{\\mathrm{d}\\begin{bmatrix}a\\\\b\\end{bmatrix}}{\\mathrm{d}\\begin{bmatrix}x\\\\y\\end{bmatrix}}=\\left(\\frac{\\mathrm{d}[a,b]^\\mathrm{T}}{\\mathrm{d}\\begin{bmatrix}x\\\\y\\end{bmatrix}}\\right)^\\mathrm{T}=\\begin{bmatrix}\\frac{\\mathrm{d}a}{\\mathrm{d}x}&amp;\\frac{\\mathrm{d}b}{\\mathrm{d}x}\\\\\\frac{\\mathrm{d}a}{\\mathrm{d}y}&amp;\\frac{\\mathrm{d}b}{\\mathrm{d}y}\\end{bmatrix}^\\mathrm{T}=\\begin{bmatrix}\\frac{\\mathrm{d}a}{\\mathrm{d}x}&amp;\\frac{\\mathrm{d}a}{\\mathrm{d}y}\\\\\\frac{\\mathrm{d}b}{\\mathrm{d}x}&amp;\\frac{\\mathrm{d}b}{\\mathrm{d}y}\\end{bmatrix} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#45-sophus","title":"4.5 \u5b9e\u8df5:Sophus","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#451-sophus","title":"4.5.1 Sophus \u7684\u57fa\u672c\u4f7f\u7528\u65b9\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#452","title":"4.5.2 \u4f8b\u5b50: \u8bc4\u4f30\u8f68\u8ff9\u7684\u8bef\u5dee","text":"<ul> <li>\u7edd\u5bf9\u8f68\u8ff9\u8bef\u5dee\uff08Absolute Trajectory Error, ATE\uff09</li> </ul> \\[ \\mathrm{ATE}_{\\mathrm{all}}=\\sqrt{\\frac{1}{N}\\sum_{i=1}^{N}\\|\\log(T_{\\mathrm{gt},i}^{-1}T_{\\mathrm{esti},i})^{\\vee}\\|_{2}^{2}}, \\] <p>\u5373\u5747\u65b9\u6839\u8bef\u5dee\uff08Root-Mean-Squared Error, RMSE\uff09</p> <ul> <li>\u7edd\u5bf9\u5e73\u79fb\u8bef\u5dee\uff08Average Translational Error\uff09</li> </ul> \\[ \\mathrm{ATE}_{\\mathrm{all}}=\\sqrt{\\frac{1}{N}\\sum_{i=1}^{N}\\|\\log(T_{\\mathrm{gt},i}^{-1}T_{\\mathrm{esti},i})^{\\vee}\\|_{2}^{2}}, \\] <ul> <li>\u76f8\u5bf9\u4f4d\u59ff\u8bef\u5dee\uff08Relative Pose Error, RPE\uff09</li> </ul> \\[ \\mathrm{RPE}_{\\mathrm{all}}=\\sqrt{\\frac{1}{N-\\Delta t}\\sum_{i=1}^{N-\\Delta t}\\|\\log\\left(\\left(\\boldsymbol{T}_{\\mathrm{gt},i}^{-1}\\boldsymbol{T}_{\\mathrm{gt},i+\\Delta t}\\right)\\right)^{-1}\\left(\\boldsymbol{T}_{\\mathrm{est},i}^{-1}\\boldsymbol{T}_{\\mathrm{est},i+\\Delta t}\\right))^{\\vee}\\|_{2}^{2}}, \\] \\[ \\mathrm{RPE}_{\\mathrm{trans}}=\\sqrt{\\frac{1}{N-\\Delta t}\\sum_{i=1}^{N-\\Delta t}\\|\\mathrm{trans}\\left(\\left(T_{gt,i}^{-1}T_{gt,i+\\Delta t}\\right)\\right)^{-1}\\left(T_{\\mathrm{esti},i}^{-1}T_{\\mathrm{esti},i+\\Delta t}\\right))\\|_{2}^{2}}. \\] <p>\u4ee3\u7801\u8ba1\u7b97:</p> Text Only<pre><code>TODO\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#46","title":"4.6 \u76f8\u4f3c\u53d8\u6362\u4e0e\u674e\u4ee3\u6570","text":"<p>\u5728\u8fd9\u91cc\u6211\u4eec\u8ba8\u8bba Sim (3) \u548c\u5bf9\u5e94\u7684\u674e\u4ee3\u6570 \\(\\displaystyle \\mathfrak{sim}(3)\\)\u3002 \u5bf9\u4e8e\u4f4d\u4e8e\u7a7a\u95f4\u7684\u70b9 \\(\\displaystyle \\boldsymbol{p}\\)\uff0c\u5728\u76f8\u673a\u5750\u6807\u7cfb\u4e0b\u8981\u7ecf\u8fc7\u4e00\u4e2a\u76f8\u4f3c\u53d8\u6362\uff0c\u800c\u975e\u6b27\u6c0f\u53d8\u6362:</p> \\[ \\boldsymbol{p}'=\\begin{bmatrix}s\\boldsymbol{R}&amp;\\boldsymbol{t}\\\\\\boldsymbol{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\boldsymbol{p}=s\\boldsymbol{R}\\boldsymbol{p}+\\boldsymbol{t}. \\] \\[ \\mathrm{Sim}(3)=\\left\\{S=\\begin{bmatrix}sR&amp;t\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;1\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}\\right\\}. \\] \\[ \\sin(3)=\\left\\{\\zeta|\\zeta=\\begin{bmatrix}\\rho\\\\\\\\\\phi\\\\\\\\\\sigma\\end{bmatrix}\\in\\mathbb{R}^7,\\zeta^\\wedge=\\begin{bmatrix}\\sigma\\boldsymbol{I}+\\phi^\\wedge&amp;\\rho\\\\\\\\\\mathbf{0}^\\mathrm{T}&amp;0\\end{bmatrix}\\in\\mathbb{R}^{4\\times4}\\right\\}. \\] \\[ \\exp\\left(\\zeta^{\\wedge}\\right)=\\begin{bmatrix}\\mathrm{e}^{\\sigma}\\exp\\left(\\phi^{\\wedge}\\right)&amp;J_{s}\\rho\\\\0^{\\mathrm{T}}&amp;1\\end{bmatrix}. \\] <p>\u5176\u4e2d\uff0c\\(\\displaystyle \\boldsymbol{J}_{S}\\) \u7684\u5f62\u5f0f\u662f:</p> \\[ \\begin{aligned} \\text{J}&amp; =\\frac{\\mathrm{e}^{\\sigma}-1}{\\sigma}I+\\frac{\\sigma\\mathrm{e}^{\\sigma}\\sin\\theta+\\left(1-\\mathrm{e}^{\\sigma}\\cos\\theta\\right)\\theta}{\\sigma^{2}+\\theta^{2}}\\boldsymbol{a}^{\\wedge} \\\\ &amp;+\\left(\\frac{\\mathrm{e}^\\sigma-1}{\\sigma}-\\frac{\\left(\\mathrm{e}^\\sigma\\cos\\theta-1\\right)\\sigma+\\left(\\mathrm{e}^\\sigma\\sin\\theta\\right)\\theta}{\\sigma^2+\\theta^2}\\right)\\boldsymbol{a}^\\wedge\\boldsymbol{a}^\\wedge. \\end{aligned} \\] <p>\u4e8e\u662f\uff0c\u674e\u4ee3\u6570\u4e0e\u674e\u7fa4\u7684\u5173\u7cfb:</p> \\[ s=\\mathrm{e}^\\sigma, R=\\exp(\\phi^\\wedge), t=J_s\\rho. \\] \\[ \\frac{\\partial\\boldsymbol{Sp}}{\\partial\\boldsymbol{\\zeta}}=\\begin{bmatrix}\\boldsymbol{I}&amp;-\\boldsymbol{q}^\\wedge&amp;\\boldsymbol{q}\\\\\\boldsymbol{0}^\\mathrm{T}&amp;\\boldsymbol{0}^\\mathrm{T}&amp;0\\end{bmatrix}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#47","title":"4.7 \u4e60\u9898","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#5","title":"5 \u76f8\u673a\u4e0e\u56fe\u50cf","text":"<ul> <li>\u89c2\u6d4b\u4e3b\u8981\u662f\u6307\u76f8\u673a\u6210\u50cf\u7684\u8fc7\u7a0b\u3002</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#51","title":"5.1 \u76f8\u673a\u6a21\u578b","text":"<ul> <li>\u9488\u5b54\u6a21\u578b</li> <li>\u900f\u955c\u4f1a\u4ea7\u751f\u7578\u53d8</li> <li>\u5185\u53c2\u6570\uff08Intrinsics\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#511","title":"5.1.1 \u9488\u5b54\u76f8\u673a\u6a21\u578b","text":"\\[ \\frac{Z}{f}=-\\frac{X}{X'}=-\\frac{Y}{Y'}. \\] <p>\u53bb\u6389\u8d1f\u53f7:</p> \\[ \\frac Zf=\\frac X{X^{\\prime}}=\\frac Y{Y^{\\prime}}. \\] \\[ \\begin{aligned}X'&amp;=f\\frac{X}{Z}\\\\Y'&amp;=f\\frac{Y}{Z}\\end{aligned}. \\] <p>\u8fd8\u6709\u4e00\u4e2a\u50cf\u7d20\u5750\u6807\u7cfb\uff0cu \u8f74\u4e0e x \u8f74\u5e73\u884c\uff0cv \u8f74\u4e0e y \u8f74\u5e73\u884c:</p> \\[ \\begin{cases}u=\\alpha X'+c_x\\\\[2ex]v=\\beta Y'+c_y\\end{cases}. \\] \\[ \\begin{cases}u=f_x\\frac{X}{Z}+c_x\\\\\\\\v=f_y\\frac{Y}{Z}+c_y\\end{cases}. \\] \\[ Z\\begin{pmatrix}u\\\\\\\\v\\\\\\\\1\\end{pmatrix}=\\begin{pmatrix}f_x&amp;0&amp;c_x\\\\0&amp;f_y&amp;c_y\\\\\\\\0&amp;0&amp;1\\end{pmatrix}\\begin{pmatrix}X\\\\\\\\Y\\\\\\\\Z\\end{pmatrix}\\overset{\\text{def}}{=}\\boldsymbol{KP}. \\] <p>\u6700\u4e2d\u95f4\u7684\u77e9\u9635\u79f0\u4e3a\u76f8\u673a\u7684\u5185\u53c2\u6570\uff08Camera Inrinsics\uff09\u77e9\u9635 \\(\\displaystyle \\boldsymbol{K}\\)\u3002 \u6807\u5b9a: \u786e\u5b9a\u76f8\u673a\u7684\u5185\u53c2</p> \\[ Z\\boldsymbol{P}_{uv}=Z\\begin{bmatrix}u\\\\\\\\v\\\\\\\\1\\end{bmatrix}=\\boldsymbol{K}\\left(\\boldsymbol{R}\\boldsymbol{P}_\\mathrm{w}+\\boldsymbol{t}\\right)=\\boldsymbol{K}\\boldsymbol{T}\\boldsymbol{P}_\\mathrm{w}. \\] <p>\u5176\u4e2d \\(\\displaystyle \\boldsymbol{R},\\boldsymbol{t}\\) \u53c8\u79f0\u4e3a\u76f8\u673a\u7684\u5916\u53c2\u6570\uff08Camera Extrinsics\uff09</p> \\[ (\\boldsymbol{RP_\\mathrm{w}}+\\boldsymbol{t})=\\underbrace{[X,Y,Z]^\\mathrm{T}}_{\\text{\u76f8\u673a\u5750\u6807}}\\to\\underbrace{[X/Z,Y/Z,1]^\\mathrm{T}}_{\\text{\u5f52\u4e00\u5316\u5750\u6807}} . \\] <ul> <li>\u5f52\u4e00\u5316\u5e73\u9762</li> <li>\u70b9\u7684\u6df1\u5ea6\u5728\u6295\u5f71\u8fc7\u7a0b\u4e2d\u88ab\u4e22\u5931\u4e86</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#512","title":"5.1.2 \u7578\u53d8\u6a21\u578b","text":"<ul> <li>\u7578\u53d8 (Distortion \u5931\u771f) \u5f84\u5411\u7578\u53d8<ul> <li>\u7b52\u5f62\u7578\u53d8</li> <li>\u6795\u5f62\u7578\u53d8 </li> </ul> </li> <li>\u5f84\u5411\u7578\u53d8\u5373 \\(\\displaystyle r\\) \u53d8\u5316</li> <li>\u5207\u5411\u7578\u53d8\u5373 \\(\\displaystyle \\theta\\) \u53d8\u5316 \u6211\u4eec\u53ef\u4ee5\u5047\u8bbe:</li> </ul> \\[ \\begin{align} x_{\\mathrm{distorted}}&amp;=x(1+k_1r^2+k_2r^4+k_3r^6) \\\\ y_{\\mathrm{distorted}}&amp;=y(1+k_1r^2+k_2r^4+k_3r^6). \\end{align} \\] \\[ \\begin{align} x_{\\mathrm{distorted}}&amp;=x+2p_1xy+p_2(r^2+2x^2) \\\\ y_{\\mathrm{distorted}}&amp;=y+p_1(r^2+2y^2)+2p_2xy \\end{align} \\] <p>\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u4e00\u4e2a\u70b9\u5728\u50cf\u7d20\u5e73\u9762\u4e0a\u7684\u6b63\u786e\u4f4d\u7f6e:</p> <ol> <li>\u5c06\u4e09\u7ef4\u7a7a\u95f4\u70b9\u6295\u5f71\u5230\u5f52\u4e00\u5316\u56fe\u50cf\u5e73\u9762\u3002\u8bbe\u5b83\u7684\u5f52\u4e00\u5316\u5750\u6807\u4e3a \\(\\displaystyle [x, y]^\\mathrm{T}\\)\u3002</li> <li>\u5bf9\u5f52\u4e00\u5316\u5e73\u9762\u4e0a\u7684\u70b9\u8ba1\u7b97\u5f84\u5411\u7578\u53d8\u548c\u5207\u5411\u7578\u53d8</li> </ol> \\[ \\begin{cases}x_\\text{distorted}=x(1+k_1r^2+k_2r^4+k_3r^6)+2p_1xy+p_2(r^2+2x^2)\\\\y_\\text{distorted}=y(1+k_1r^2+k_2r^4+k_3r^6)+p_1(r^2+2y^2)+2p_2xy\\end{cases} \\] <ol> <li>\u5c06\u7578\u53d8\u540e\u7684\u70b9\u901a\u8fc7\u5185\u53c2\u6570\u77e9\u9635\u6295\u5f71\u5230\u50cf\u7d20\u5e73\u9762\uff0c\u5f97\u5230\u8be5\u70b9\u5728\u56fe\u50cf\u4e0a\u7684\u6b63\u786e\u4f4d\u7f6e\u3002</li> </ol> \\[ \\begin{cases}u=f_xx_\\text{distorted}+c_x\\\\\\\\v=f_yy_\\text{distorted}+c_y\\end{cases}. \\] <p>\u8fd8\u6709\u5f88\u591a\u7684\u76f8\u673a\u6a21\u578b\u6bd4\u5982: \u4eff\u5c04\u6a21\u578b\uff0c\u900f\u89c6\u6a21\u578b\u3002</p> <p>\u603b\u7ed3\u4e00\u4e0b\u5355\u76ee\u76f8\u673a\u7684\u6210\u50cf\u8fc7\u7a0b:</p> <ol> <li>\u4e16\u754c\u5750\u6807\u7cfb\u4e0b\u6709\u4e00\u4e2a\u56fa\u5b9a\u7684\u70b9 \\(\\displaystyle P\\)\uff0c\u4e16\u754c\u5750\u6807\u4e3a \\(\\displaystyle \\boldsymbol{P}_{w}\\)\u3002</li> <li>\u7531\u4e8e\u76f8\u673a\u5728\u8fd0\u52a8\uff0c\u5b83\u7684\u8fd0\u52a8\u7531 \\(\\displaystyle \\boldsymbol{R},\\boldsymbol{t}\\) \u6216\u53d8\u6362\u77e9\u9635 \\(\\displaystyle \\boldsymbol{T}\\in SE(3)\\) \u63cf\u8ff0\u3002\\(\\displaystyle P\\) \u7684\u76f8\u673a\u5750\u6807\u4e3a \\(\\displaystyle \\tilde{P_{c}} = \\boldsymbol{R}\\boldsymbol{P}_{w}+\\boldsymbol{t}\\)\u3002</li> <li>\u8fd9\u65f6\u7684 \\(\\displaystyle \\tilde{\\boldsymbol{P}_{c}}\\) \u7684\u5206\u91cf\u662f \\(\\displaystyle X,Y,Z\\) \uff0c\u628a\u5b83\u4eec\u6295\u5f71\u5230\u5f52\u4e00\u5316\u5e73\u9762 \\(\\displaystyle Z = 1\\) \u4e0a\uff0c\u5f97\u5230 \\(\\displaystyle P\\) \u7684\u5f52\u4e00\u5316\u5750\u6807: \\(\\displaystyle \\boldsymbol{P}_{c} = \\left[ \\frac{X}{Z},   \\frac{Y}{Z}, 1 \\right]^\\mathrm{T}\\)\u3002</li> <li>\u6709\u7578\u53d8\u65f6\uff0c\u6839\u636e\u7578\u53d8\u53c2\u6570\u8ba1\u7b97 \\(\\displaystyle \\boldsymbol{P}_{c}\\) \u53d1\u751f\u7578\u53d8\u540e\u7684\u5750\u6807\u3002</li> <li>\\(\\displaystyle P\\) \u7684\u5f52\u4e00\u5316\u5750\u6807\u7ecf\u8fc7\u5185\u53c2\u540e\uff0c\u5bf9\u5e94\u5230\u5b83\u7684\u50cf\u7d20\u5750\u6807: \\(\\displaystyle \\boldsymbol{P}_{uv} = \\boldsymbol{K} \\boldsymbol{P}_{c}\\)\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#513","title":"5.1.3 \u53cc\u76ee\u76f8\u673a\u6a21\u578b","text":"<p> \u4e24\u8005\u4e4b\u95f4\u7684\u8ddd\u79bb\u79f0\u4e3a\u53cc\u76ee\u76f8\u673a\u7684\u57fa\u7ebf</p> \\[ z=\\frac{fb}{d},\\quad d\\stackrel{\\mathrm{def}}{=}u_{\\mathrm{L}}-u_{\\mathrm{R}}. \\] <ul> <li>d \u5b9a\u4e49\u4e3a\u5de6\u53f3\u56fe\u7684\u6a2a\u5750\u6807\u4e4b\u5dee\uff0c\u79f0\u4e3a\u89c6\u5dee\u3002<ul> <li>\u7531\u4e8e\u89c6\u5dee\u6700\u5c0f\u4e3a\u4e00\u4e2a\u50cf\u7d20\uff0c\u6240\u4ee5\u53cc\u76ee\u7684\u6df1\u5ea6\u5b58\u5728\u4e00\u4e2a\u7406\u8bba\u4e0a\u7684\u6700\u5927\u503c\u3002</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#514-rgb-d","title":"5.1.4 RGB-D \u76f8\u673a\u6a21\u578b","text":"<ul> <li>\u7ea2\u5916\u7ed3\u6784\u5149\uff08Structured lightning\uff09</li> <li>\u98de\u884c\u65f6\u95f4\uff08Time-of-Flight, ToF\uff09 </li> <li>ToF \u76f8\u673a\u53ef\u4ee5\u83b7\u5f97\u6574\u4e2a\u56fe\u50cf\u7684\u50cf\u7d20\u6df1\u5ea6</li> <li>\u8f93\u51fa\u5f69\u8272\u56fe\u548c\u6df1\u5ea6\u56fe\uff0c\u751f\u6210\u70b9\u4e91\uff08Point Cloud\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#52","title":"5.2 \u56fe\u50cf","text":"\\[ I(x,y):\\mathbb{R}^2\\mapsto\\mathbb{R}. \\] <ul> <li>channel</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#53","title":"5.3 \u5b9e\u8df5: \u8ba1\u7b97\u673a\u4e2d\u7684\u56fe\u50cf","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#531-opencv","title":"5.3.1 OpenCV \u7684\u57fa\u672c\u4f7f\u7528\u65b9\u6cd5","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#532","title":"5.3.2 \u56fe\u50cf\u53bb\u7578\u53d8","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#54-3-d","title":"5.4 \u5b9e\u8df5: 3 D \u89c6\u89c9","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#541","title":"5.4.1 \u53cc\u76ee\u89c6\u89c9","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#542-rgb-d","title":"5.4.2 RGB-D \u89c6\u89c9","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#55","title":"5.5 \u4e60\u9898","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#6","title":"6 \u975e\u7ebf\u6027\u4f18\u5316","text":"<p>\u524d\u9762\u6211\u4eec\u5df2\u7ecf\u641e\u6e05\u695a\u4e86\u8fd0\u52a8\u65b9\u7a0b\u548c\u89c2\u6d4b\u65b9\u7a0b\u7684\u6765\u6e90\uff0c\u73b0\u5728\u6211\u4eec\u5f00\u59cb\u8ba8\u8bba\u566a\u58f0\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#61","title":"6.1 \u72b6\u6001\u4f30\u8ba1\u95ee\u9898","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#611","title":"6.1.1 \u6279\u91cf\u72b6\u6001\u4f30\u8ba1\u4e0e\u6700\u5927\u540e\u9a8c\u4f30\u8ba1","text":"\\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right)+\\boldsymbol{w}_k\\\\\\boldsymbol{z}_{k,j}=h\\left(\\boldsymbol{y}_j,\\boldsymbol{x}_k\\right)+\\boldsymbol{v}_{k,j}\\end{cases}. \\] \\[ s\\boldsymbol{z}_{k,j}=\\boldsymbol{K}(R_k\\boldsymbol{y}_j+\\boldsymbol{t}_k). \\] <p>\u5176\u4e2d \\(\\displaystyle s\\) \u4e3a\u50cf\u7d20\u70b9\u7684\u8ddd\u79bb\u3002 \u6211\u4eec\u901a\u5e38\u5047\u8bbe\u566a\u58f0\u9879\u6ee1\u8db3\u96f6\u5747\u503c\u7684\u9ad8\u65af\u5206\u5e03:</p> \\[ \\boldsymbol{w}_k\\sim\\mathcal{N}\\left(\\boldsymbol{0},\\boldsymbol{R}_k\\right),\\boldsymbol{v}_k\\sim\\mathcal{N}\\left(\\boldsymbol{0},\\boldsymbol{Q}_{k,j}\\right). \\] <p>\u6709\u4e24\u79cd\u65b9\u6cd5\u6765\u89e3\u51b3\u72b6\u6001\u4f30\u8ba1\u95ee\u9898:</p> <ul> <li>\u7528\u65b0\u7684\u6570\u636e\u6765\u66f4\u65b0\u5f53\u524d\u65f6\u523b\u7684\u4f30\u8ba1\u72b6\u6001\uff0c\u589e\u91cf/\u6e10\u8fdb (incremental) \u7684\u65b9\u6cd5\uff0c\u6216\u8005\u6559\u6ee4\u6ce2\u5668</li> <li>\u4e5f\u53ef\u4ee5\u628a\u6570\u636e\u90fd\u6512\u8d77\u6765\uff0c\u79f0\u4e3a\u6279\u91cf (batch) \u7684\u65b9\u6cd5 SfM (Structure from Motion) \u7efc\u5408\u4e00\u4e0b\u5c31\u6709\u4e86\u6ed1\u52a8\u7a97\u53e3\u4f30\u8ba1\u6cd5</li> </ul> \\[ \\boldsymbol{x}=\\{\\boldsymbol{x}_1,\\ldots,\\boldsymbol{x}_N\\},\\quad\\boldsymbol{y}=\\{\\boldsymbol{y}_1,\\ldots,\\boldsymbol{y}_M\\}. \\] \\[ P(\\boldsymbol{x},\\boldsymbol{y}|z,\\boldsymbol{u}). \\] \\[ P\\left(\\boldsymbol{x},\\boldsymbol{y}|\\boldsymbol{z},\\boldsymbol{u}\\right)=\\frac{P\\left(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}\\right)P\\left(\\boldsymbol{x},\\boldsymbol{y}\\right)}{P\\left(\\boldsymbol{z},\\boldsymbol{u}\\right)}\\propto\\underbrace{P\\left(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}\\right)}_{\\text{\u4f3c\u7136}}\\underbrace{P\\left(\\boldsymbol{x},\\boldsymbol{y}\\right)}_{\\text{\u5148\u9a8c}}. \\] <p>\u53ef\u4ee5\u5148\u6c42\u4e00\u4e2a\u72b6\u6001\u6700\u4f18\u4f30\u8ba1:</p> \\[ (\\boldsymbol{x},\\boldsymbol{y})^*_{\\mathrm{MAP}}=\\arg\\max P(\\boldsymbol{x},\\boldsymbol{y}|\\boldsymbol{z},\\boldsymbol{u})=\\arg\\max P(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y})P(\\boldsymbol{x},\\boldsymbol{y}). \\] <p>\u6c42\u89e3\u6700\u5927\u540e\u9a8c\u6982\u7387\u7b49\u4ef7\u4e8e\u6700\u5927\u5316\u4f3c\u7136\u548c\u5148\u9a8c\u7684\u4e58\u79ef\u3002 \u4f46\u5982\u679c\u6ca1\u6709\u7684\u5148\u9a8c\uff0c\u90a3\u4e48\u53ef\u4ee5\u6c42\u89e3\u6700\u5927\u4f3c\u7136\u4f30\u8ba1 (Maximize Likelihood Estimation\uff0c MLE):</p> \\[ (\\boldsymbol{x},\\boldsymbol{y})^*{}_{\\mathrm{MLE}}=\\arg\\max P(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}). \\] <p>\u6700\u5927\u4f3c\u7136\u4f30\u8ba1: \u5728\u4ec0\u4e48\u6837\u7684\u72b6\u6001\u4e0b\uff0c\u6700\u53ef\u80fd\u4ea7\u751f\u73b0\u5728\u89c2\u6d4b\u5230\u7684\u6570\u636e\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#612","title":"6.1.2 \u6700\u5c0f\u4e8c\u4e58\u7684\u5f15\u51fa","text":"<p>\u5bf9\u4e8e\u67d0\u4e00\u6b21\u89c2\u6d4b:</p> \\[ z_{k,j}=h\\left(y_{j},x_{k}\\right)+v_{k,j}, \\] \\[ P(\\boldsymbol{z}_{j,k}|\\boldsymbol{x}_k,\\boldsymbol{y}_j)=N\\left(h(\\boldsymbol{y}_j,\\boldsymbol{x}_k),\\boldsymbol{Q}_{k,j}\\right). \\] <p>\u53ef\u4ee5\u4f7f\u7528\u6700\u5c0f\u5316\u8d1f\u5bf9\u6570\u6765\u6c42\u4e00\u4e2a\u9ad8\u65af\u5206\u5e03\u7684\u6700\u5927\u4f3c\u7136\u3002</p> \\[ P\\left(\\boldsymbol{x}\\right)=\\frac{1}{\\sqrt{\\left(2\\pi\\right)^{N}\\det\\left(\\boldsymbol{\\Sigma}\\right)}}\\exp\\left(-\\frac{1}{2}(\\boldsymbol{x}-\\boldsymbol{\\mu})^{\\mathrm{T}}\\boldsymbol{\\Sigma}^{-1}\\left(\\boldsymbol{x}-\\boldsymbol{\\mu}\\right)\\right). \\] \\[ -\\ln\\left(P\\left(\\boldsymbol{x}\\right)\\right)=\\frac12\\ln\\left(\\left(2\\pi\\right)^N\\det\\left(\\boldsymbol{\\Sigma}\\right)\\right)+\\frac12\\left(\\boldsymbol{x}-\\boldsymbol{\\mu}\\right)^\\mathrm{T}\\boldsymbol{\\Sigma}^{-1}\\left(\\boldsymbol{x}-\\boldsymbol{\\mu}\\right). \\] \\[ \\begin{aligned} (x_{k},y_{j})^{*}&amp; =\\arg\\max\\mathcal{N}(h(\\boldsymbol{y}_{j},\\boldsymbol{x}_{k}),\\boldsymbol{Q}_{k,j}) \\\\ &amp;=\\arg\\min\\left(\\left(\\boldsymbol{z}_{k,j}-h\\left(\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right)\\right)^\\mathrm{T}\\boldsymbol{Q}_{k,j}^{-1}\\left(\\boldsymbol{z}_{k,j}-h\\left(\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right)\\right)\\right). \\end{aligned} \\] <p>\u8be5\u5f0f\u7b49\u4ef7\u4e8e\u6700\u5c0f\u5316\u566a\u58f0\u9879\u7684\u4e00\u4e2a\u4e8c\u6b21\u578b\uff0c\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb (Mahalanobis distance)\u3002\u5176\u4e2d \\(\\displaystyle \\boldsymbol{Q}_{k,j}^{-1}\\) \u53eb\u4fe1\u606f\u77e9\u9635\uff0c\u5373\u9ad8\u65af\u5206\u5e03\u534f\u65b9\u5dee\u77e9\u9635\u4e4b\u9006\u3002 \u5047\u8bbe\u5404\u4e2a\u65f6\u523b\u7684\u8f93\u5165\u548c\u89c2\u6d4b\u90fd\u662f\u72ec\u7acb\u7684\uff0c\u90a3\u4e48:</p> \\[ P\\left(\\boldsymbol{z},\\boldsymbol{u}|\\boldsymbol{x},\\boldsymbol{y}\\right)=\\prod_kP\\left(\\boldsymbol{u}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_k\\right)\\prod_{k,j}P\\left(\\boldsymbol{z}_{k,j}|\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right), \\] \\[ \\begin{align} e_{u,k} &amp;=\\boldsymbol{x}_k-f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right) \\\\ e_{z,j,k} &amp;=\\boldsymbol{z}_{k,j}-h\\left(\\boldsymbol{x}_k,\\boldsymbol{y}_j\\right),  \\end{align} \\] \\[ \\min J(\\boldsymbol{x},\\boldsymbol{y})=\\sum_{k}\\boldsymbol{e}_{\\boldsymbol{u},k}^{\\mathrm{T}}\\boldsymbol{R}_{k}^{-1}\\boldsymbol{e}_{\\boldsymbol{u},k}+\\sum_{k}\\sum_{j}\\boldsymbol{e}_{\\boldsymbol{z},k,j}^{\\mathrm{T}}\\boldsymbol{Q}_{k,j}^{-1}\\boldsymbol{e}_{\\boldsymbol{z},k,j}. \\] <p>\u8fd9\u6837\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898 (Least Square Problem) </p> <ul> <li>\u6574\u4e2a\u95ee\u9898\u6709\u4e00\u79cd\u7a00\u758f\u7684\u5f62\u5f0f\u3002</li> <li>\u7528\u674e\u4ee3\u6570\u8868\u793a\u589e\u91cf\u4f1a\u6709\u65e0\u7ea6\u675f\u7684\u4f18\u52bf\u3002</li> <li>\u7528\u4e8c\u6b21\u578b\u5ea6\u91cf\u8bef\u5dee\uff0c\u90a3\u4e48\u8bef\u5dee\u7684\u5206\u5e03\u4f1a\u5f71\u54cd\u6b64\u9879\u5728\u6574\u4e2a\u95ee\u9898\u4e2d\u7684\u6743\u91cd\u3002 \u63a5\u4e0b\u4fe9\u8bb2\u4e00\u4e9b\u975e\u7ebf\u6027\u4f18\u5316\u7684\u57fa\u672c\u77e5\u8bc6\uff0c\u6765\u5e2e\u52a9\u6211\u4eec\u6c42\u89e3\u8fd9\u4e2a\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898\u3002</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#613","title":"6.1.3 \u4f8b\u5b50: \u6279\u91cf\u72b6\u6001\u4f30\u8ba1","text":"<p>\u8003\u8651\u4e00\u4e2a\u975e\u5e38\u7b80\u5355\u7684\u79bb\u6563\u65f6\u95f4\u7cfb\u7edf:</p> \\[ \\begin{aligned}&amp;x_{k}=x_{k-1}+u_{k}+w_{k},&amp;&amp;\\boldsymbol{w}_{k}\\sim\\mathcal{N}\\left(0,\\boldsymbol{Q}_{k}\\right)\\\\&amp;\\boldsymbol{z}_{k}=\\boldsymbol{x}_{k}+\\boldsymbol{n}_{k},&amp;&amp;\\boldsymbol{n}_{k}\\sim\\mathcal{N}\\left(0,\\boldsymbol{R}_{k}\\right)\\end{aligned} \\] \\[ \\begin{gathered} x_{map}^{*} =\\arg\\max P(\\boldsymbol{x}|\\boldsymbol{u},\\boldsymbol{z})=\\arg\\max P(\\boldsymbol{u},\\boldsymbol{z}|\\boldsymbol{x}) \\\\ =\\prod_{k=1}^3P(\\boldsymbol{u}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_k)\\prod_{k=1}^3P(\\boldsymbol{z}_k|\\boldsymbol{x}_k),  \\end{gathered} \\] <p>\u800c\u5bf9\u4e8e\u5177\u4f53\u7684\u6bcf\u4e00\u9879\uff0c\u6211\u4eec\u6709:</p> \\[ P(\\boldsymbol{u}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_k)=\\mathcal{N}(\\boldsymbol{x}_k-\\boldsymbol{x}_{k-1},\\boldsymbol{Q}_k), \\] \\[ P\\left(\\boldsymbol{z}_{k}|\\boldsymbol{x}_{k}\\right)=\\mathcal{N}\\left(\\boldsymbol{x}_{k},\\boldsymbol{R}_{k}\\right). \\] <p>\u4e8e\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u6784\u5efa\u8bef\u5dee\u53d8\u91cf:</p> \\[ e_{\\boldsymbol{u},k}=\\boldsymbol{x}_k-\\boldsymbol{x}_{k-1}-\\boldsymbol{u}_k,\\quad\\boldsymbol{e}_{z,k}=\\boldsymbol{z}_k-\\boldsymbol{x}_k, \\] <p>\u4e8e\u662f\u6700\u5c0f\u4e8c\u4e58\u7684\u76ee\u6807\u51fd\u6570\u4e3a:</p> \\[ \\min\\sum_{k=1}^{3}e_{u,k}^{\\mathrm{T}}Q_{k}^{-1}e_{u,k}+\\sum_{k=1}^{3}e_{z,k}^{\\mathrm{T}}R_{k}^{-1}e_{z,k}. \\] <p>\u5b9a\u4e49\u5411\u91cf \\(\\displaystyle \\boldsymbol{y} = [\\boldsymbol{u},\\boldsymbol{z}]^\\mathrm{T}\\)</p> \\[ y-Hx=e\\sim\\mathcal{N}(\\mathbf{0},\\boldsymbol{\\Sigma}). \\] \\[ H=\\begin{bmatrix}1&amp;-1&amp;0&amp;0\\\\0&amp;1&amp;-1&amp;0\\\\0&amp;0&amp;1&amp;-1\\\\\\hline0&amp;1&amp;0&amp;0\\\\0&amp;0&amp;1&amp;0\\\\0&amp;0&amp;0&amp;1\\end{bmatrix}, \\] <p>\u4e14 \\(\\displaystyle \\Sigma = diag(\\boldsymbol{Q_{1}},\\boldsymbol{Q_{2}},\\boldsymbol{Q_{3}},\\boldsymbol{R_{1}},\\boldsymbol{R_{2}},\\boldsymbol{R_{3}})\\)\u3002 \u95ee\u9898\u5c31\u8f6c\u5316\u6210:</p> \\[ x_{\\mathrm{map}}^*=\\arg\\min e^{\\mathrm{T}}\\Sigma^{-1}e, \\] <p>\u5b83\u7684\u552f\u4e00\u89e3\u662f:</p> \\[ x_{\\mathrm{map}}^{*}=(H^{\\mathrm{T}}\\Sigma^{-1}H)^{-1}H^{\\mathrm{T}}\\Sigma^{-1}y. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#62","title":"6.2 \u975e\u7ebf\u6027\u6700\u5c0f\u4e8c\u4e58","text":"<p>\u5148\u8003\u8651\u4e00\u4e2a\u7b80\u5355\u7684\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898:</p> \\[ \\min_{x}F(x)=\\frac12\\|f\\left(x\\right)\\|_{2}^{2}.` \\] <p>\u5bf9\u4e8e\u4e0d\u65b9\u4fbf\u76f4\u63a5\u6c42\u89e3\u7684\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u8fed\u4ee3\u7684\u65b9\u5f0f\uff0c\u4ece\u4e00\u4e2a\u521d\u59cb\u503c\u51fa\u53d1\uff0c\u4e0d\u65ad\u5730\u66f4\u65b0\u5f53\u524d\u7684\u4f18\u5316\u53d8\u91cf\uff0c\u4f7f\u76ee\u6807\u51fd\u6570\u4e0b\u964d:</p> <ol> <li>\u7ed9\u5b9a\u67d0\u4e2a\u521d\u59cb\u503c \\(\\displaystyle \\boldsymbol{x_{0}}\\)\u3002</li> <li>\u5bf9\u4e8e\u7b2c \\(\\displaystyle k\\) \u6b21\u8fed\u4ee3\uff0c\u5bfb\u627e\u4e00\u4e2a\u589e\u91cf \\(\\displaystyle \\Delta x_{k}\\)\uff0c\u4f7f\u5f97 \\(\\displaystyle \\left\\|f\\left(\\boldsymbol{x}_{k}+\\Delta\\boldsymbol{x}_{k}\\right)\\right\\|_{2}^{2}\\) \u8fbe\u5230\u6700\u5c0f\u503c\u3002</li> <li>\u82e5 \\(\\displaystyle \\Delta x_k\\) \u8db3\u591f\u5c0f\uff0c\u5219\u505c\u6b62\u3002</li> <li>\u5426\u5219\uff0c\u4ee4 \\(\\displaystyle x_{k+1} = x_{k} + \\Delta x_{k}\\)\uff0c\u8fd4\u56de\u7b2c\u4e8c\u6b65 \u4e8e\u662f\u6c42\u89e3\u5bfc\u51fd\u6570\u4e3a\u96f6 -&gt; \u5bfb\u627e\u4e0b\u964d\u589e\u91cf \\(\\displaystyle \\Delta x_{k}\\) </li> </ol> <p>\u4e0b\u9762\u662f\u4e00\u4e9b\u5e7f\u6cdb\u4f7f\u7528\u7684\u7ed3\u679c\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#621","title":"6.2.1 \u4e00\u9636\u548c\u4e8c\u9636\u68af\u5ea6\u6cd5","text":"<p>\u4f7f\u7528\u6cf0\u52d2\u5c55\u5f00:</p> \\[ F(\\boldsymbol{x}_k+\\Delta\\boldsymbol{x}_k)\\approx F(\\boldsymbol{x}_k)+\\boldsymbol{J}\\left(\\boldsymbol{x}_k\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}_k+\\frac{1}{2}\\Delta\\boldsymbol{x}_k^\\mathrm{T}\\boldsymbol{H}(\\boldsymbol{x}_k)\\Delta\\boldsymbol{x}_k. \\] <p>\u5176\u4e2d \\(\\displaystyle \\boldsymbol{J}(x_{k})\\) \u662f \\(\\displaystyle F(x)\\) \u5173\u4e8e \\(\\displaystyle x\\) \u7684\u4e00\u9636\u5bfc\u6570\uff08\u68af\u5ea6\u3001\u96c5\u53ef\u6bd4\u77e9\u9635\uff09\uff0c\\(\\displaystyle \\boldsymbol{H}\\) \u662f\u4e8c\u9636\u5bfc\u6570\uff08\u6d77\u585e\u77e9\u9635\uff09\u3002</p> \\[ \\Delta\\boldsymbol{x}^*=-\\boldsymbol{J}(\\boldsymbol{x}_k). \\] \\[ \\Delta\\boldsymbol{x}^*=\\arg\\min\\left(F\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}+\\frac{1}{2}\\Delta\\boldsymbol{x}^\\mathrm{T}\\boldsymbol{H}\\Delta\\boldsymbol{x}\\right). \\] <p>\u5bf9 \\(\\displaystyle \\Delta x\\) \u6c42\u5bfc\uff0c\u5e76\u4ee4\u5b83\u7b49\u4e8e\u96f6\uff0c\u5f97\u5230:</p> \\[ J+H\\Delta x=\\mathbf{0}\\Rightarrow H\\Delta x=-J. \\] <p>\u8fd9\u4e2a\u65b9\u6cd5\u53c8\u53eb\u725b\u987f\u6cd5\u3002</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#622","title":"6.2.2 \u9ad8\u65af\u725b\u987f\u6cd5","text":"<p>\u6362\u4e00\u4e2a\u51fd\u6570\u5c55\u5f00:</p> \\[ f\\left(x+\\Delta x\\right)\\approx f\\left(x\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}. \\] \\[ \\Delta x^{*}=\\arg\\min_{\\Delta x}\\frac{1}{2}\\Big\\|f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}\\Big\\|^{2}. \\] \\[ \\begin{aligned} \\frac12\\left\\|f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}\\right\\|^2&amp; =\\frac12\\Big(f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}\\Big)^\\mathrm{T}\\Big(f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^\\mathrm{T}\\Delta\\boldsymbol{x}\\Big) \\\\ &amp;=\\frac12\\left(\\|f(\\boldsymbol{x})\\|_2^2+2f\\left(\\boldsymbol{x}\\right)\\boldsymbol{J}(\\boldsymbol{x})^\\intercal\\Delta\\boldsymbol{x}+\\Delta\\boldsymbol{x}^\\intercal\\boldsymbol{J}(\\boldsymbol{x})\\boldsymbol{J}(\\boldsymbol{x})^\\intercal\\Delta\\boldsymbol{x}\\right). \\end{aligned} \\] \\[ \\boldsymbol{J}(\\boldsymbol{x})f\\left(\\boldsymbol{x}\\right)+\\boldsymbol{J}(\\boldsymbol{x})\\boldsymbol{J}^\\mathrm{T}\\left(\\boldsymbol{x}\\right)\\Delta\\boldsymbol{x}=\\boldsymbol{0}. \\] \\[ \\underbrace{\\boldsymbol{J}(\\boldsymbol{x})\\boldsymbol{J}^{\\intercal}}_{\\boldsymbol{H}(\\boldsymbol{x})}\\left(\\boldsymbol{x}\\right)\\Delta\\boldsymbol{x}=\\underbrace{-\\boldsymbol{J}(\\boldsymbol{x})f\\left(\\boldsymbol{x}\\right)}_{\\boldsymbol{g}(\\boldsymbol{x})}. \\] <p>\u589e\u91cf\u65b9\u7a0b or Gauss-Newton equation or Normal equation</p> \\[ H\\Delta x=g. \\] <p>\u6c42\u89e3\u589e\u91cf\u65b9\u7a0b\u662f\u6574\u4e2a\u4f18\u5316\u95ee\u9898\u7684\u6838\u5fc3\u6240\u5728 \u603b\u7ed3\u4e00\u4e0b:</p> <ol> <li>\u7ed9\u5b9a\u521d\u59cb\u503c \\(\\displaystyle \\boldsymbol{x}_{0}\\)\u3002</li> <li>\u5bf9\u4e8e\u7b2c \\(\\displaystyle k\\) \u6b21\u8fed\u4ee3\uff0c\u6c42\u89e3\u5f53\u524d\u7684\u96c5\u53ef\u6bd4\u77e9\u9635 \\(\\displaystyle \\boldsymbol{J}(x)\\) \u548c\u8bef\u5dee \\(\\displaystyle f(\\boldsymbol{x}_{k})\\)\u3002</li> <li>\u6c42\u89e3\u589e\u91cf\u65b9\u7a0b: \\(\\displaystyle \\boldsymbol{H} \\Delta x_{k} = \\boldsymbol{g}\\)\u3002</li> <li>\u82e5 \\(\\displaystyle \\Delta x_{k}\\) \u8db3\u591f\u5c0f\uff0c\u5219\u505c\u6b62\u3002\u5426\u5219\uff0c\u4ee4 \\(\\displaystyle x_{k+1} = x_{k}+ \\Delta x_{k}\\)\uff0c\u8fd4\u56de\u7b2c 2 \u6b65\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#623","title":"6.2.3 \u5217\u6587\u4f2f\u683c\u2014\u2014\u9a6c\u5938\u5c14\u7279\u65b9\u6cd5","text":"<p>Damped Newton Method Trust Region Trust Region Method</p> \\[ \\rho=\\frac{f\\left(\\boldsymbol{x}+\\Delta\\boldsymbol{x}\\right)-f\\left(\\boldsymbol{x}\\right)}{\\boldsymbol{J}\\left(\\boldsymbol{x}\\right)^{\\intercal}\\Delta\\boldsymbol{x}}. \\] <p>\u6846\u67b6:</p> <ol> <li>\u7ed9\u5b9a\u521d\u59cb\u503c \\(\\displaystyle \\boldsymbol{x}_{0}\\)\uff0c\u4ee5\u53ca\u521d\u59cb\u4f18\u5316\u534a\u5f84 \\(\\displaystyle \\mu\\)\u3002</li> <li>\u5bf9\u4e8e\u7b2c \\(\\displaystyle k\\) \u6b21\u8fed\u4ee3\uff0c\u5728\u9ad8\u65af\u725b\u987f\u6cd5\u7684\u57fa\u7840\u4e0a\u52a0\u4e0a\u4fe1\u8d56\u533a\u57df\uff0c\u6c42\u89e3: \\(\\displaystyle \\min_{\\Delta\\boldsymbol{x}_{k}}\\frac{1}{2}\\Big\\|f\\left(\\boldsymbol{x}_{k}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}_{k}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}_{k}\\Big\\|^{2},\\quad\\mathrm{s.t.}\\quad\\left\\|\\boldsymbol{D}\\Delta\\boldsymbol{x}_{k}\\right\\|^{2}\\leqslant\\mu,\\) </li> <li>\u8ba1\u7b97 \\(\\displaystyle \\rho\\)</li> <li>\u5bf9\u4e8e \\(\\displaystyle \\frac{1}{4}  \\frac{3}{4}\\) \u8fdb\u884c\u5206\u7c7b\u8ba8\u8bba</li> <li>\u5224\u65ad\u9608\u503c\uff0c\u5faa\u73af</li> </ol> <p>\u8fd9\u662f\u5e26\u4e0d\u7b49\u5f0f\u7ea6\u675f\u7684\u4f18\u5316\u95ee\u9898:</p> \\[ \\mathcal{L}(\\Delta\\boldsymbol{x}_{k},\\lambda)=\\frac{1}{2}\\left\\|f\\left(\\boldsymbol{x}_{k}\\right)+\\boldsymbol{J}\\left(\\boldsymbol{x}_{k}\\right)^{\\mathrm{T}}\\Delta\\boldsymbol{x}_{k}\\right\\|^{2}+\\frac{\\lambda}{2}\\left(\\left\\|\\boldsymbol{D}\\Delta\\boldsymbol{x}_{k}\\right\\|^{2}-\\mu\\right). \\] \\[ (H+\\lambda D^\\mathrm{T}D) \\Delta x_k=g. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#63","title":"6.3 \u5b9e\u8df5: \u66f2\u7ebf\u62df\u5408\u95ee\u9898","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#631","title":"6.3.1 \u624b\u5199\u9ad8\u65af\u725b\u987f\u6cd5","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#632-ceres","title":"6.3.2 \u4f7f\u7528 Ceres \u8fdb\u884c\u66f2\u7ebf\u62df\u5408","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#633-g2o","title":"6.3.3 \u4f7f\u7528 g2o\u8fdb\u884c\u66f2\u7ebf\u62df\u5408","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#7-1","title":"7 \u89c6\u89c9\u91cc\u7a0b\u8ba1 1","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#71","title":"7.1 \u7279\u5f81\u70b9\u6cd5","text":"<ul> <li>\u7279\u5f81\u70b9\u6cd5<ul> <li>\u4e24\u89c6\u56fe\u51e0\u4f55\uff08Two-view geometry\uff09</li> </ul> </li> <li>\u76f4\u63a5\u6cd5</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#711","title":"7.1.1 \u7279\u5f81\u70b9","text":"<ul> <li>\u5982\u4f55\u6839\u636e\u56fe\u50cf\u4f30\u8ba1\u76f8\u673a\u8fd0\u52a8</li> <li>\u8def\u6807: \u56fe\u50cf\u7279\u5f81</li> <li>\u7279\u5f81\u70b9\u5728\u76f8\u673a\u8fd0\u52a8\u4e4b\u540e\u4fdd\u6301\u7a33\u5b9a<ul> <li>\u89d2\u70b9</li> </ul> </li> <li>\u4eba\u5de5\u8bbe\u8ba1\u7684\u7279\u5f81\u70b9:<ul> <li>Repeatability</li> <li>Distinctiveness</li> <li>Efficiency</li> <li>Locality</li> </ul> </li> <li>\u7531\u4e24\u90e8\u5206\u7ec4\u6210:<ul> <li>\u5173\u952e\u70b9\uff08Key-point\uff09</li> <li>\u63cf\u8ff0\u5b50\uff08Descriptor\uff09</li> </ul> </li> <li>SIFT (\u5c3a\u5ea6\u4e0d\u53d8\u7279\u5f81\u53d8\u6362\uff0cScale-Invariant Feature Transform)<ul> <li>\u8003\u8651\u5145\u5206\uff0c\u4f46\u662f\u8ba1\u7b97\u91cf\u6bd4\u8f83\u5927</li> </ul> </li> <li>ORB (Oriented FAST and Rotated BRIEF)</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#712-orb","title":"7.1.2 ORB \u7279\u5f81","text":"<ol> <li>FAST \u89d2\u70b9\u63d0\u53d6: ORB \u4e2d\u8ba1\u7b97\u4e86\u7279\u5f81\u70b9\u7684\u4e3b\u65b9\u5411\uff0c\u4e3a\u540e\u7eed\u7684 BRIEF \u63cf\u8ff0\u5b50\u589e\u52a0\u4e86\u65cb\u8f6c\u4e0d\u53d8\u7279\u6027</li> <li>BRIEF \u63cf\u8ff0\u5b50: \u5bf9\u524d\u4e00\u6b65\u63d0\u53d6\u51fa\u7279\u5f81\u70b9\u7684\u5468\u56f4\u56fe\u50cf\u533a\u57df\u8fdb\u884c\u63cf\u8ff0\u3002\u4f7f\u7528\u5148\u524d\u8ba1\u7b97\u7684\u65b9\u5411\u4fe1\u606f\u3002 - FAST \u5173\u952e\u70b9  Non-maximal suppression \u5c3a\u5ea6\u4e0d\u53d8\u6027\u7531\u6784\u5efa\u56fe\u50cf\u91d1\u5b57\u5854 \u7279\u5f81\u7684\u65cb\u8f6c: Intensity Centroid \u65cb\u8f6c\u65b9\u9762\uff0c\u6211\u4eec\u8ba1\u7b97\u7279\u5f81\u70b9\u9644\u8fd1\u7684\u56fe\u50cf\u7070\u5ea6\u8d28\u5fc3\u3002</li> <li>\u5b9a\u4e49\u56fe\u50cf\u7684\u77e9: \\(\\displaystyle m_{pq} = \\Sigma _{x,y \\in B} x^p x^q I(x, y),p,q \\in \\{0, 1\\}\\).</li> <li>\u627e\u5230\u56fe\u50cf\u5757\u7684\u8d28\u5fc3: \\(\\displaystyle C=\\left(\\frac{m_{10}}{m_{00}},\\frac{m_{01}}{m_{00}}\\right).\\)</li> <li>\u5f97\u5230\u4e00\u4e2a\u51e0\u4f55\u4e2d\u5fc3\u5230\u8d28\u5fc3\u7684\u65b9\u5411\u5411\u91cf: \\(\\displaystyle \\theta=\\arctan(m_{01}/m_{10}).\\) - BRIEF \u63cf\u8ff0\u5b50 \u4e8c\u8fdb\u5236\u8868\u8fbe+\u968f\u673a\u9009\u70b9\u6bd4\u8f83</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#713","title":"7.1.3 \u7279\u5f81\u5339\u914d","text":"<p>data association Brute-Force Matcher</p> <ul> <li>\u901a\u8fc7\u6d4b\u91cf\u63cf\u8ff0\u5b50\u7684\u8ddd\u79bb\u6765\u53bb\u6700\u8fd1\u7684\u4e00\u4e2a\u4f5c\u4e3a\u5339\u914d\u70b9\u3002\u63cf\u8ff0\u5b50\u8ddd\u79bb\u8868\u793a\u4e86\u4e24\u4e2a\u7279\u5f81\u4e4b\u95f4\u7684\u76f8\u4f3c\u7a0b\u5ea6\u3002<ul> <li>\u6b27\u6c0f\u8ddd\u79bb</li> <li>\u6c49\u660e\u8ddd\u79bb<ul> <li>\u4e24\u4e2a\u4e8c\u8fdb\u5236\u4e32\u7684\u4e0d\u540c\u4f4d\u6570\u7684\u4e2a\u6570</li> </ul> </li> </ul> </li> <li>\u5feb\u901f\u8fd1\u4f3c\u6700\u8fd1\u90bb\uff08FLANN\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#72","title":"7.2 \u5b9e\u8df5: \u7279\u5f81\u63d0\u53d6\u548c\u5339\u914d","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#721-opencv-orb","title":"7.2.1 OpenCV \u7684 ORB \u7279\u5f81","text":"<p>TODO</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#722-orb","title":"7.2.2 \u624b\u5199 ORB \u7279\u5f81","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#723","title":"7.2.3 \u8ba1\u7b97\u76f8\u673a\u8fd0\u52a8","text":"<ol> <li>\u5f53\u76f8\u673a\u4e3a\u5355\u76ee\u65f6\uff0c\u6211\u4eec\u901a\u8fc7\u5bf9\u6781\u51e0\u4f55\u6765\u89e3\u51b3\u4e24\u7ec4 2 D \u70b9\u4f30\u8ba1\u8fd0\u52a8\u7684\u95ee\u9898</li> <li>\u5f53\u76f8\u673a\u4e3a\u53cc\u76ee\u3001RGB-D \u65f6\uff0c\u901a\u8fc7 ICP \u6765\u89e3\u51b3\u4e24\u7ec4 3 D \u70b9\u4f30\u8ba1\u8fd0\u52a8\u7684\u95ee\u9898</li> <li>\u4e00\u4e2a\u662f 2 D \u4e00\u4e2a\u662f 3 D \u65f6\uff0c\u901a\u8fc7 PnP \u6765\u6c42\u89e3</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#73-d-2-d","title":"7.3 D-2 D: \u5bf9\u6781\u51e0\u4f55","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#731","title":"7.3.1 \u5bf9\u6781\u7ea6\u675f","text":"<ul> <li>Epipolar plane</li> <li>Epipoles</li> <li>Epipolar line </li> </ul> \\[ P=[X,Y,Z]^{\\mathrm{T}}. \\] \\[ s_{1}p_{1}=KP,\\quad s_{2}p_{2}=K\\left(RP+t\\right). \\] <p>\u6210\u6295\u5f71\u5173\u7cfb:\u5c3a\u5ea6\u610f\u4e49\u4e0b\u76f8\u7b49 (equal up to scale)</p> \\[ sp\\simeq p. \\] \\[ p_1\\simeq KP,\\quad p_2\\simeq K\\left(RP+t\\right). \\] \\[ x_1=K^{-1}p_1,\\quad x_2=K^{-1}p_2. \\] \\[ x_2\\simeq Rx_1+t. \\] \\[ t^{\\wedge}x_{2}\\simeq t^{\\wedge}Rx_{1}. \\] \\[ x_2^\\mathrm{T}t^\\wedge x_2\\simeq x_2^\\mathrm{T}t^\\wedge Rx_1. \\] \\[ x_2^\\mathrm{T}t^\\wedge Rx_1=0. \\] \\[ p_2^\\mathrm{T}K^{-\\mathrm{T}}t^\\wedge RK^{-1}p_1=0. \\] <p>\u5bf9\u6781\u7ea6\u675f</p> \\[ E=t^{\\wedge}R,\\quad F=K^{-\\mathrm{T}}EK^{-1},\\quad x_{2}^{\\mathrm{T}}Ex_{1}=p_{2}^{\\mathrm{T}}Fp_{1}=0. \\] <ol> <li>\u6839\u636e\u914d\u5bf9\u70b9\u7684\u50cf\u7d20\u4f4d\u7f6e\u6c42\u51fa \\(\\displaystyle \\boldsymbol{E}\\) \u6216\u8005 \\(\\displaystyle \\boldsymbol{F}\\)\u3002</li> <li>\u6839\u636e \\(\\displaystyle \\boldsymbol{E}\\) \u6216\u8005 \\(\\displaystyle \\boldsymbol{F}\\) \u6c42\u51fa \\(\\displaystyle \\boldsymbol{R},\\boldsymbol{t}\\)\u3002 \\(\\displaystyle \\boldsymbol{E}\\) \u548c \\(\\displaystyle \\boldsymbol{F}\\) \u53ea\u76f8\u5dee\u4e86\u76f8\u673a\u5185\u53c2\uff0c\u6240\u4ee5\u5b9e\u8df5\u4e2d\u5f80\u5f80\u4f7f\u7528\u5f62\u5f0f\u66f4\u7b80\u5355\u7684 \\(\\displaystyle \\boldsymbol{E}\\)\u3002</li> </ol>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#732","title":"7.3.2 \u672c\u8d28\u77e9\u9635","text":"<p>\u672c\u8d28\u77e9\u9635: \\(\\displaystyle E=t^{\\wedge}R\\)</p> <ul> <li>\\(\\displaystyle \\boldsymbol{E}\\) \u4e0d\u540c\u5c3a\u5ea6\u4e0b\u662f\u7b49\u4ef7\u7684\u3002</li> <li>\u53ef\u4ee5\u8bc1\u660e\uff0c\u672c\u8d28\u77e9\u9635 \\(\\displaystyle \\boldsymbol{E}\\) \u7684\u5947\u5f02\u503c\u5fc5\u5b9a\u662f \\(\\displaystyle [\\sigma,\\sigma,0]^\\mathrm{T}\\) \u7684\u5f62\u5f0f\uff0c\u8fd9\u79f0\u4e3a\u672c\u8d28\u77e9\u9635\u7684\u5185\u5728\u6027\u8d28\u3002</li> <li>\\(\\displaystyle \\boldsymbol{E}\\) \u5b9e\u9645\u4e0a\u6709 5 \u4e2a\u81ea\u7531\u5ea6\u3002 \u516b\u70b9\u6cd5 (Eight-point-algorithm) \u8003\u8651\u4e00\u5806\u914d\u5bf9\u70b9\uff0c\u5b83\u4eec\u7684\u5f52\u4e00\u5316\u5750\u6807\u4e3a \\(\\displaystyle x_{1}=[u_{1},v_{1},1]^{\\mathrm{T}},x_{2}=[u_{2},v_{2},1]^{\\mathrm{T}}\\)\u3002\u6839\u636e\u5bf9\u6781\u7ea6\u675f\uff0c\u6709</li> </ul> \\[ \\begin{pmatrix}u_2,v_2,1\\end{pmatrix}\\begin{pmatrix}e_1&amp;e_2&amp;e_3\\\\\\\\e_4&amp;e_5&amp;e_6\\\\\\\\e_7&amp;e_8&amp;e_9\\end{pmatrix}\\begin{pmatrix}u_1\\\\\\\\v_1\\\\\\\\1\\end{pmatrix}=0. \\] \\[ \\boldsymbol{e}=[e_1,e_2,e_3,e_4,e_5,e_6,e_7,e_8,e_9]^\\mathrm{T}, \\] \\[ [u_2u_1,u_2v_1,u_2,v_2u_1,v_2v_1,v_2,u_1,v_1,1]\\cdot e=0. \\] <p>\u6211\u4eec\u628a\u6240\u6709\u70b9\u90fd\u653e\u5230\u4e00\u4e2a\u65b9\u7a0b\u4e2d\uff0c\u53d8\u6210\u7ebf\u6027\u65b9\u7a0b\u7ec4:</p> \\[ \\begin{pmatrix}u_2^1u_1^1&amp;u_2^1v_1^1&amp;u_2^1&amp;v_2^1u_1^1&amp;v_2^1v_1^1&amp;v_2^1&amp;u_1^1&amp;v_1^1&amp;1\\\\u_2^2u_1^2&amp;u_2^2v_1^2&amp;u_2^2&amp;v_2^2u_1^2&amp;v_2^2v_1^2&amp;v_2^2&amp;u_1^2&amp;v_1^2&amp;1\\\\\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots&amp;\\vdots\\\\u_2^8u_1^8&amp;u_2^8v_1^8&amp;u_2^8&amp;v_2^8u_1^8&amp;v_2^8u_1^8&amp;u_1^8&amp;v_1^8&amp;1\\end{pmatrix}\\begin{pmatrix}e_1\\\\e_2\\\\e_3\\\\e_4\\\\e_5\\\\e_6\\\\e_7\\\\e_8\\\\e_9\\end{pmatrix}=0. \\] \\[ E=U\\Sigma V^{\\mathrm{T}}, \\] \\[ \\begin{aligned}&amp;t_{1}^{\\wedge}=UR_{Z}(\\frac{\\pi}{2})\\Sigma U^{\\mathrm{T}},\\quad R_{1}=UR_{Z}^{\\mathrm{T}}(\\frac{\\pi}{2})V^{\\mathrm{T}}\\\\&amp;t_{2}^{\\wedge}=UR_{Z}(-\\frac{\\pi}{2})\\Sigma U^{\\mathrm{T}},\\quad R_{2}=UR_{Z}^{\\mathrm{T}}(-\\frac{\\pi}{2})V^{\\mathrm{T}}.\\end{aligned} \\] <p></p> \\[ \\boldsymbol{E}=\\boldsymbol{U}\\mathrm{diag}(\\frac{\\sigma_1+\\sigma_2}2,\\frac{\\sigma_1+\\sigma_2}2,0)\\boldsymbol{V}^\\mathrm{T}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#733","title":"7.3.3 \u5355\u5e94\u77e9\u9635","text":"<p>Homography</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#8-2","title":"8 \u89c6\u89c9\u91cc\u7a0b\u8ba1 2","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#81","title":"8.1 \u76f4\u63a5\u6cd5\u7684\u5f15\u51fa","text":"<ul> <li>\u7279\u5f81\u70b9\u6cd5\u7684\u7f3a\u70b9<ul> <li>\u5173\u952e\u70b9\u7684\u63d0\u53d6\u4e0e\u63cf\u8ff0\u5b50\u7684\u8ba1\u7b97\u975e\u5e38\u8017\u65f6</li> <li>\u4f7f\u7528\u7279\u5f81\u70b9\u65f6\uff0c\u4f1a\u5ffd\u7565\u9664\u7279\u5f81\u70b9\u4ee5\u5916\u7684\u6240\u6709\u4fe1\u606f</li> <li>\u76f8\u673a\u6709\u65f6\u4f1a\u8fd0\u52a8\u5230\u7279\u5f81\u7f3a\u5931\u7684\u5730\u65b9</li> </ul> </li> <li>\u90a3\u4e48\u5982\u4f55\u514b\u670d\u8fd9\u4e9b\u7f3a\u70b9<ul> <li>\u4fdd\u7559\u7279\u5f81\u70b9\uff0c\u4f46\u53ea\u8ba1\u7b97\u5173\u952e\u70b9\uff0c\u4e0d\u8ba1\u7b97\u63cf\u8ff0\u5b50\u3002\u4f7f\u7528\u5149\u6d41\u6cd5\uff08Optical Flow\uff09\u8ddf\u8e2a\u7279\u5f81\u70b9\u7684\u8fd0\u52a8</li> <li>\u53ea\u8ba1\u7b97\u5173\u952e\u70b9\uff0c\u4e0d\u8ba1\u7b97\u63cf\u8ff0\u5b50\u3002\u4f7f\u7528\u76f4\u63a5\u6cd5\uff08Direct Method\uff09</li> </ul> </li> <li>\u7b2c\u4e00\u79cd\u65b9\u6cd5\u4ecd\u7136\u4f7f\u7528\u7279\u5f81\u70b9\uff0c\u53ea\u662f\u628a\u5339\u914d\u63cf\u8ff0\u5b57\u66ff\u6362\u6210\u4e86\u5149\u6d41\u8ddf\u8e2a\uff0c\u4f30\u8ba1\u76f8\u673a\u8fd0\u52a8\u65f6\u4ecd\u7136\u662f\u54e6\u90a3\u4e2a\u5bf9\u6781\u51e0\u4f55\u3001PnP \u6216 ICP \u7b97\u6cd5\uff08\u5373\uff0c\u6211\u4eec\u9700\u8981\u63d0\u5230\u89d2\u70b9\uff09</li> <li>\u7279\u5f81\u70b9\u6cd5:\u901a\u8fc7\u6700\u5c0f\u5316\u91cd\u6295\u5f71\u8bef\u5dee\uff08Reprojection error\uff09\u4f18\u5316\u76f8\u673a\u8fd0\u52a8</li> <li>\u76f4\u63a5\u6cd5: \u901a\u8fc7\u6700\u5c0f\u5316\u5149\u5ea6\u8bef\u5dee\uff08Photometric error\uff09</li> <li>\u53ea\u8981\u573a\u666f\u4e2d\u5b58\u5728\u660e\u6697\u53d8\u5316\u5c31\u53ef\u4ee5\u5de5\u4f5c<ul> <li>\u7a20\u5bc6</li> <li>\u534a\u7a20\u5bc6</li> <li>\u7a00\u758f</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#82-d","title":"8.2 D \u5149\u6d41","text":"<ul> <li>\u8ba1\u7b97\u90e8\u5206\u50cf\u7d20\u8fd0\u52a8: \u7a00\u758f\u5149\u6d41<ul> <li>Lucas-Kanasde</li> </ul> </li> <li>\u8ba1\u7b97\u6240\u6709\u50cf\u7d20\u8fd0\u52a8: \u7a20\u5bc6\u5149\u6d41<ul> <li>Horn-Schunck Lucas-Kanade \u5149\u6d41</li> </ul> </li> <li>\u7070\u5ea6\u4e0d\u53d8\u5047\u8bbe: \u540c\u4e00\u4e2a\u7a7a\u95f4\u70b9\u7684\u50cf\u7d20\u7070\u5ea6\u503c\uff0c\u5728\u5404\u4e2a\u56fe\u50cf\u4e2d\u65f6\u56fa\u5b9a\u4e0d\u53d8\u7684</li> </ul> \\[ I(x+\\mathrm{d}x,y+\\mathrm{d}y,t+\\mathrm{d}t)=I(x,y,t). \\] \\[ \\boldsymbol{I}\\left(x+\\mathrm{d}x,y+\\mathrm{d}y,t+\\mathrm{d}t\\right)\\approx\\boldsymbol{I}\\left(x,y,t\\right)+\\frac{\\partial\\boldsymbol{I}}{\\partial x}\\mathrm{d}x+\\frac{\\partial\\boldsymbol{I}}{\\partial y}\\mathrm{d}y+\\frac{\\partial\\boldsymbol{I}}{\\partial t}\\mathrm{d}t. \\] \\[ \\frac{\\partial\\boldsymbol{I}}{\\partial x}\\frac{\\mathrm{d}x}{\\mathrm{d}t}+\\frac{\\partial\\boldsymbol{I}}{\\partial y}\\frac{\\mathrm{d}y}{\\mathrm{d}t}=-\\frac{\\partial\\boldsymbol{I}}{\\partial t}. \\] \\[ \\begin{bmatrix}I_x&amp;I_y\\end{bmatrix}\\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}=-I_t. \\] \\[ \\begin{bmatrix}I_x&amp;I_y\\end{bmatrix}_k\\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}=-I_{tk},\\quad k=1,\\ldots,w^2. \\] \\[ A\\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}=-b. \\] \\[ \\begin{bmatrix}u\\\\\\\\v\\end{bmatrix}^*=-\\begin{pmatrix}\\boldsymbol{A}^\\mathrm{T}\\boldsymbol{A}\\end{pmatrix}^{-1}\\boldsymbol{A}^\\mathrm{T}\\boldsymbol{b}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#83-lk","title":"8.3 \u5b9e\u8df5: LK \u5149\u6d41","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#831-lk","title":"8.3.1 \u4f7f\u7528 LK \u5149\u6d41","text":"C++<pre><code>vector&lt;Point2f&gt; pt1, pt2;\nfor (auto &amp;kp: kp1) pt1.push_back(kp.pt);\nvector&lt;uchar&gt; status;\nvector&lt;float&gt; error;\ncv::calcOpticalFlowPyrLK(img1, img2, pt1, pt2, status, error);\n</code></pre>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#832","title":"8.3.2 \u7528\u9ad8\u65af\u725b\u987f\u6cd5\u5b9e\u73b0\u5149\u6d41","text":"<p>\u5355\u5c42\u5149\u6d41 TODO</p> \\[ \\min_{\\Delta x,\\Delta y}\\left\\|\\boldsymbol{I}_1\\left(x,y\\right)-\\boldsymbol{I}_2\\left(x+\\Delta x,y+\\Delta y\\right)\\right\\|_2^2. \\] <p>\u591a\u5c42\u5149\u6d41 - \u7531\u7c97\u81f3\u7cbe\uff08Coarse-to-fine\uff09</p>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#833","title":"8.3.3 \u5149\u6d41\u5b9e\u8df5\u5c0f\u7ed3","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#84","title":"8.4 \u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#841","title":"8.4.1 \u76f4\u63a5\u6cd5\u7684\u63a8\u5bfc","text":"\\[ \\boldsymbol{p}_1=\\begin{bmatrix}u\\\\\\\\v\\\\\\\\1\\end{bmatrix}_1=\\frac{1}{Z_1}\\boldsymbol{K}\\boldsymbol{P}, \\] \\[ \\boldsymbol{p}_{2}=\\begin{bmatrix}u\\\\\\\\v\\\\\\\\1\\end{bmatrix}_{2}=\\frac{1}{Z_{2}}\\boldsymbol{K}\\left(\\boldsymbol{R}\\boldsymbol{P}+\\boldsymbol{t}\\right)=\\frac{1}{Z_{2}}\\boldsymbol{K}\\left(\\boldsymbol{T}\\boldsymbol{P}\\right)_{1:3}. \\] \\[ e=\\boldsymbol{I}_1\\left(\\boldsymbol{p}_1\\right)-\\boldsymbol{I}_2\\left(\\boldsymbol{p}_2\\right). \\] \\[ \\min_{T}J\\left(T\\right)=\\left\\|e\\right\\|^{2}. \\] \\[ \\min_{\\boldsymbol{T}}J\\left(\\boldsymbol{T}\\right)=\\sum_{i=1}^{N}e_{i}^{\\mathrm{T}}e_{i},\\quad e_{i}=\\boldsymbol{I}_{1}\\left(\\boldsymbol{p}_{1,i}\\right)-\\boldsymbol{I}_{2}\\left(\\boldsymbol{p}_{2,i}\\right). \\] \\[ \\begin{aligned}&amp;q=TP,\\\\&amp;\\boldsymbol{u}=\\frac{1}{Z_{2}}Kq.\\end{aligned} \\] \\[ e(T)=I_1(p_1)-I_2(u), \\] \\[ \\frac{\\partial e}{\\partial\\boldsymbol{T}}=\\frac{\\partial\\boldsymbol{I}_{2}}{\\partial\\boldsymbol{u}}\\frac{\\partial\\boldsymbol{u}}{\\partial\\boldsymbol{q}}\\frac{\\partial\\boldsymbol{q}}{\\partial\\delta\\boldsymbol{\\xi}}\\delta\\boldsymbol{\\xi}, \\] \\[ \\frac{\\partial\\boldsymbol{u}}{\\partial\\boldsymbol{q}}=\\begin{bmatrix}\\frac{\\partial u}{\\partial X}&amp;\\frac{\\partial u}{\\partial Y}&amp;\\frac{\\partial u}{\\partial Z}\\\\\\frac{\\partial v}{\\partial X}&amp;\\frac{\\partial v}{\\partial Y}&amp;\\frac{\\partial v}{\\partial Z}\\end{bmatrix}=\\begin{bmatrix}\\frac{f_x}{Z}&amp;0&amp;-\\frac{f_xX}{Z^2}\\\\0&amp;\\frac{f_y}{Z}&amp;-\\frac{f_yY}{Z^2}\\end{bmatrix}. \\] \\[ \\frac{\\partial\\boldsymbol{q}}{\\partial\\delta\\boldsymbol{\\xi}}=\\left[I,-\\boldsymbol{q}^{\\wedge}\\right]. \\] \\[ \\frac{\\partial\\boldsymbol{u}}{\\partial\\delta\\boldsymbol{\\xi}}=\\begin{bmatrix}\\frac{f_x}{Z}&amp;0&amp;-\\frac{f_xX}{Z^2}&amp;-\\frac{f_xXY}{Z^2}&amp;f_x+\\frac{f_xX^2}{Z^2}&amp;-\\frac{f_xY}{Z}\\\\0&amp;\\frac{f_y}{Z}&amp;-\\frac{f_yY}{Z^2}&amp;-f_y-\\frac{f_yY^2}{Z^2}&amp;\\frac{f_yXY}{Z^2}&amp;\\frac{f_yX}{Z}\\end{bmatrix}. \\] \\[ J=-\\frac{\\partial I_2}{\\partial u}\\frac{\\partial u}{\\partial\\delta\\xi}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#842","title":"8.4.2 \u76f4\u63a5\u6cd5\u7684\u8ba8\u8bba","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#85","title":"8.5 \u5b9e\u8df5: \u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#851","title":"8.5.1 \u5355\u5c42\u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#852","title":"8.5.2 \u591a\u5c42\u76f4\u63a5\u6cd5","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#853","title":"8.5.3 \u7ed3\u679c\u8ba8\u8bba","text":"<ul> <li>Normalized Cross</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#854","title":"8.5.4 \u76f4\u63a5\u6cd5\u4f18\u7f3a\u70b9\u603b\u7ed3","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#9-1","title":"9 \u540e\u7aef 1","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#91","title":"9.1 \u6982\u8ff0","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#911","title":"9.1.1 \u72b6\u6001\u4f30\u8ba1\u7684\u6982\u7387\u89e3\u91ca","text":"<ul> <li>\u53ea\u4f7f\u7528\u8fc7\u53bb\u7684\u4fe1\u606f: \u6e10\u8fdb\u7684\uff08Incremental\uff09</li> <li>\u4f7f\u7528\u672a\u6765\u7684\u4fe1\u606f\u66f4\u65b0: \u6279\u91cf\u7684\uff08Batch\uff09</li> </ul> \\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right)+\\boldsymbol{w}_k\\\\\\boldsymbol{z}_{k,j}=h\\left(\\boldsymbol{y}_j,\\boldsymbol{x}_k\\right)+\\boldsymbol{v}_{k,j}\\end{cases}\\quad k=1,\\ldots,N, j=1,\\ldots,M. \\] <ul> <li>\u89c2\u6d4b\u65b9\u7a0b\u7684\u6570\u91cf\u4f1a\u8fdc\u8fdc\u5927\u4e8e\u8fd0\u52a8\u65b9\u7a0b</li> <li>\u5f53\u6ca1\u6709\u8fd0\u52a8\u65b9\u7a0b\u7684\u65f6\u5019\uff0c\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u76f8\u673a\u4e0d\u52a8\uff0c\u6216\u5047\u8bbe\u76f8\u673a\u5300\u901f\u8fd0\u52a8</li> <li>\u95ee\u9898\uff1a\u5f53\u5b58\u5728\u4e00\u4e9b\u8fd0\u52a8\u6570\u636e\u548c\u89c2\u6d4b\u6570\u636e\u65f6\uff0c\u6211\u4eec\u5982\u4f55\u4f30\u8ba1\u72b6\u6001\u91cf\u7684\u9ad8\u65af\u5206\u5e03</li> <li>\u8bef\u5dee\u65f6\u9010\u6e10\u7d2f\u79ef\u7684</li> <li>\u6700\u5927\u4f3c\u7136\u4f30\u8ba1: \u6279\u91cf\u72b6\u6001\u4f30\u8ba1\u95ee\u9898\u53ef\u4ee5\u8f6c\u5316\u4e3a\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u95ee\u9898\uff0c\u5e76\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\u8fdb\u884c\u6c42\u89e3</li> </ul> \\[ x_k\\stackrel{\\mathrm{def}}{=}\\{x_k,y_1,\\ldots,y_m\\}. \\] \\[ \\begin{cases}\\boldsymbol{x}_k=f\\left(\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right)+\\boldsymbol{w}_k\\\\\\boldsymbol{z}_k=h\\left(\\boldsymbol{x}_k\\right)+\\boldsymbol{v}_k\\end{cases}\\quad k=1,\\ldots,N. \\] \\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k}\\right)\\propto P\\left(\\boldsymbol{z}_k|\\boldsymbol{x}_k\\right)P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right). \\] <ul> <li>\u7b2c\u4e00\u9879\u79f0\u4e3a\u4f3c\u7136\uff0c\u7b2c\u4e8c\u9879\u79f0\u4e3a\u5148\u9a8c</li> </ul> \\[ P\\left(\\boldsymbol{x}_{k}|\\boldsymbol{x}_{0},\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=\\int P\\left(\\boldsymbol{x}_{k}|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_{0},\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)P\\left(\\boldsymbol{x}_{k-1}|\\boldsymbol{x}_{0},\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)\\mathrm{d}\\boldsymbol{x}_{k-1}. \\] <ul> <li>\u867d\u7136\u53ef\u4ee5\u7ee7\u7eed\u5bf9\u6b64\u5f0f\u8fdb\u884c\u5c55\u5f00\uff0c\u4f46\u6211\u4eec\u53ea\u5173\u5fc3 \\(\\displaystyle k\\) \u65f6\u523b\u548c \\(\\displaystyle k - 1\\) \u65f6\u523b\u7684\u60c5\u51b5<ul> <li>\u7b2c\u4e00\u79cd\u65b9\u6cd5\u662f\u5047\u8bbe\u9a6c\u5c14\u53ef\u592b\u6027: \u5373\u8ba4\u4e3a \\(\\displaystyle k\\) \u65f6\u523b\u72b6\u6001\u53ea\u4e0e \\(\\displaystyle k - 1\\) \u65f6\u523b\u72b6\u6001\u6709\u5173<ul> <li>\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u5f97\u5230\u4ee5\u6269\u5c55\u5361\u5c14\u66fc\u6ee4\u6ce2\uff08EKF\uff09\u4e3a\u4ee3\u8868\u7684\u6ee4\u6ce2\u5668\u65b9\u5f0f</li> </ul> </li> <li>\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u662f\u4f9d\u7136\u8003\u8651\u548c\u4e4b\u524d\u6240\u6709\u72b6\u6001\u7684\u5173\u7cfb\uff0c\u59ff\u52bf\u4f1a\u5f97\u5230\u975e\u7ebf\u6027\u4f18\u5316\u4e3a\u4e3b\u4f53\u7684\u4f18\u5316\u6846\u67b6\u3002</li> <li>\u4e3b\u6d41\u662f\u975e\u7ebf\u6027\u4f18\u5316</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#912-kf","title":"9.1.2 \u7ebf\u6027\u7cfb\u7edf\u548c KF","text":"\\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_{k-1},\\boldsymbol{u}_k\\right). \\] \\[ P\\left(\\boldsymbol{x}_{k-1}|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=P\\left(\\boldsymbol{x}_{k-1}|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k-1},\\boldsymbol{z}_{1:k-1}\\right). \\] <ul> <li>\u6240\u4ee5\u6211\u4eec\u5b9e\u9645\u5728\u505a\u7684\u4e8b\u5982\u4f55\u628a \\(\\displaystyle k - 1\\) \u65f6\u523b\u7684\u72b6\u6001\u5206\u5e03\u63a8\u5bfc\u81f3 \\(\\displaystyle k\\) \u65f6\u523b<ul> <li>\u5373\u6211\u4eec\u53ea\u8981\u7ef4\u62a4\u4e00\u4e2a\u72b6\u6001\uff0c\u5e76\u4e0d\u65ad\u5730\u8fed\u4ee3\u66f4\u65b0<ul> <li>\u53ea\u8981\u7ef4\u62a4\u72b6\u6001\u91cf\u7684\u5747\u503c\u548c\u534f\u65b9\u5dee\uff08\u72b6\u6001\u91cf\u670d\u4ece\u9ad8\u65af\u5206\u5e03\uff09</li> </ul> </li> </ul> </li> </ul> \\[ \\begin{cases}x_k=A_kx_{k-1}+u_k+w_k\\\\z_k=C_kx_k+v_k\\end{cases}\\quad k=1,\\ldots,N. \\] \\[ w_k\\sim N(0,\\boldsymbol{R}).\\quad\\boldsymbol{v}_k\\sim N(\\boldsymbol{0},\\boldsymbol{Q}). \\] <ul> <li>\u4e0a\u5e3d\u5b50\u8868\u793a\u540e\u9a8c\uff0c\u4e0b\u5e3d\u5b50\u8868\u793a\u5148\u9a8c</li> </ul> \\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{1:k-1}\\right)=N\\left(\\boldsymbol{A}_k\\hat{x}_{k-1}+\\boldsymbol{u}_k,\\boldsymbol{A}_k\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{A}_k^\\mathrm{T}+\\boldsymbol{R}\\right). \\] <ul> <li>\u8fd9\u4e00\u6b65\u79f0\u4e3a\u9884\u6d4b\uff08Predict\uff09</li> </ul> \\[ \\check{\\boldsymbol{x}}_k=\\boldsymbol{A}_k\\hat{\\boldsymbol{x}}_{k-1}+\\boldsymbol{u}_k,\\quad\\check{\\boldsymbol{P}}_k=A_k\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{A}_k^\\mathrm{T}+\\boldsymbol{R}. \\] \\[ P\\left(\\boldsymbol{z}_k|\\boldsymbol{x}_k\\right)=N\\left(\\boldsymbol{C}_k\\boldsymbol{x}_k,\\boldsymbol{Q}\\right). \\] <ul> <li>\u5982\u679c\u7ed3\u679c\u8bbe\u4e3a \\(\\displaystyle x_k\\sim N(\\hat{\\boldsymbol{x}}_k,\\hat{\\boldsymbol{P}}_k)\\)\uff0c\u90a3\u4e48</li> </ul> \\[ N(\\hat{\\boldsymbol{x}}_k,\\hat{\\boldsymbol{P}}_k)=\\eta N\\left(\\boldsymbol{C}_k\\boldsymbol{x}_k,\\boldsymbol{Q}\\right)\\cdot N(\\check{\\boldsymbol{x}}_k,\\check{\\boldsymbol{P}}_k). \\] \\[ (\\boldsymbol{x}_{k}-\\hat{\\boldsymbol{x}}_{k})^{\\mathrm{T}}\\hat{\\boldsymbol{P}}_{k}^{-1}\\left(\\boldsymbol{x}_{k}-\\hat{\\boldsymbol{x}}_{k}\\right)=\\left(\\boldsymbol{z}_{k}-\\boldsymbol{C}_{k}\\boldsymbol{x}_{k}\\right)^{\\mathrm{T}}\\boldsymbol{Q}^{-1}\\left(\\boldsymbol{z}_{k}-\\boldsymbol{C}_{k}\\boldsymbol{x}_{k}\\right)+\\left(\\boldsymbol{x}_{k}-\\check{\\boldsymbol{x}}_{k}\\right)^{\\mathrm{T}}\\boldsymbol{P}_{k}^{-1}\\left(\\boldsymbol{x}_{k}-\\check{\\boldsymbol{x}}_{k}\\right). \\] <ul> <li>\u4e8c\u6b21\u7cfb\u6570</li> </ul> \\[ \\hat{P}_k^{-1}=C_k^{\\mathrm{T}}Q^{-1}C_k+\\check{P}_k^{-1}. \\] <ul> <li>\u5b9a\u4e49\u4e00\u4e2a\u4e2d\u95f4\u53d8\u91cf</li> </ul> \\[ K=\\hat{P}_kC_k^{\\mathrm{T}}Q^{-1}. \\] \\[ I=\\hat{P}_{k}C_{k}^{\\mathrm{T}}Q^{-1}C_{k}+\\hat{P}_{k}\\check{P}_{k}^{-1}=KC_{k}+\\hat{P}_{k}\\check{P}_{k}^{-1}. \\] \\[ \\hat{P}_{k}=(I-KC_{k})\\check{P}_{k}. \\] <ul> <li>\u4e00\u6b21\u9879\u7cfb\u6570</li> </ul> \\[ -2\\hat{\\boldsymbol{x}}_k^\\mathrm{T}\\hat{\\boldsymbol{P}}_k^{-1}\\boldsymbol{x}_k=-2\\boldsymbol{z}_k^\\mathrm{T}\\boldsymbol{Q}^{-1}\\boldsymbol{C}_k\\boldsymbol{x}_k-2\\boldsymbol{\\dot{x}}_k^\\mathrm{T}\\check{\\boldsymbol{P}}_k^{-1}\\boldsymbol{x}_k. \\] \\[ \\hat{\\boldsymbol{P}}_k^{-1}\\hat{\\boldsymbol{x}}_k=\\boldsymbol{C}_k^\\mathrm{T}\\boldsymbol{Q}^{-1}\\boldsymbol{z}_k+\\check{\\boldsymbol{P}}_k^{-1}\\check{\\boldsymbol{x}}_k. \\] \\[ \\begin{aligned} \\hat{x}_{k}&amp; =\\hat{\\boldsymbol{P}}_k\\boldsymbol{C}_k^\\mathrm{T}\\boldsymbol{Q}^{-1}\\boldsymbol{z}_k+\\hat{\\boldsymbol{P}}_k\\check{\\boldsymbol{P}}_k^{-1}\\check{\\boldsymbol{x}}_k \\\\ &amp;=K\\boldsymbol{z}_k+\\left(\\boldsymbol{I}-\\boldsymbol{K}\\boldsymbol{C}_k\\right)\\check{\\boldsymbol{x}}_k=\\check{\\boldsymbol{x}}_k+\\boldsymbol{K}\\left(\\boldsymbol{z}_k-\\boldsymbol{C}_k\\check{\\boldsymbol{x}}_k\\right). \\end{aligned} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#913-ekf","title":"9.1.3 \u975e\u7ebf\u6027\u7cfb\u7edf\u548c EKF","text":"<ul> <li>\u6269\u5c55\u5361\u5c14\u66fc\u6ee4\u6ce2\u5668<ul> <li>\u5373\u628a\u975e\u9ad8\u65af\u5206\u5e03\u8fd1\u4f3c\u6210\u9ad8\u65af\u5206\u5e03</li> </ul> </li> </ul> \\[ \\boldsymbol{x}_k\\approx f\\left(\\hat{\\boldsymbol{x}}_{k-1},\\boldsymbol{u}_k\\right)+\\left.\\frac{\\partial f}{\\partial\\boldsymbol{x}_{k-1}}\\right|_{\\tilde{\\boldsymbol{x}}_{k-1}}\\left(\\boldsymbol{x}_{k-1}-\\hat{\\boldsymbol{x}}_{k-1}\\right)+\\boldsymbol{w}_k. \\] \\[ \\boldsymbol{F}=\\left.\\frac{\\partial f}{\\partial\\boldsymbol{x}_{k-1}}\\right|_{\\hat{\\boldsymbol{x}}_{k-1}}. \\] \\[ z_k\\approx h\\left(\\check{\\boldsymbol{x}}_k\\right)+\\left.\\frac{\\partial h}{\\partial\\boldsymbol{x}_k}\\right|_{\\dot{\\boldsymbol{x}}_k}\\left(\\boldsymbol{x}_k-\\check{\\boldsymbol{x}}_k\\right)+\\boldsymbol{n}_k. \\] \\[ H=\\left.\\frac{\\partial h}{\\partial\\boldsymbol{x}_k}\\right|_{\\check{\\boldsymbol{x}}_k}. \\] \\[ P\\left(\\boldsymbol{x}_k|\\boldsymbol{x}_0,\\boldsymbol{u}_{1:k},\\boldsymbol{z}_{0:k-1}\\right)=N(f\\left(\\hat{\\boldsymbol{x}}_{k-1},\\boldsymbol{u}_k\\right),\\boldsymbol{F}\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{F}^\\mathrm{T}+\\boldsymbol{R}_k). \\] \\[ \\check{\\boldsymbol{x}}_k=f\\left(\\hat{\\boldsymbol{x}}_{k-1},\\boldsymbol{u}_k\\right),\\quad\\check{\\boldsymbol{P}}_k=\\boldsymbol{F}\\hat{\\boldsymbol{P}}_{k-1}\\boldsymbol{F}^\\mathrm{T}+\\boldsymbol{R}_k. \\] \\[ P\\left(\\boldsymbol{z}_k|\\boldsymbol{x}_k\\right)=N(h\\left(\\check{\\boldsymbol{x}}_k\\right)+\\boldsymbol{H}\\left(\\boldsymbol{x}_k-\\check{\\boldsymbol{x}}_k\\right),Q_k). \\] <ul> <li>\u5b9a\u4e49\u4e00\u4e2a\u5361\u5c14\u66fc\u589e\u76ca \\(\\displaystyle \\boldsymbol{K}_{k}\\)</li> </ul> \\[ K_{k}=\\check{P}_{k}H^{\\mathrm{T}}(H\\check{P}_{k}H^{\\mathrm{T}}+Q_{k})^{-1}. \\] \\[ \\hat{\\boldsymbol{x}}_k=\\check{\\boldsymbol{x}}_k+\\boldsymbol{K}_k\\left(\\boldsymbol{z}_k-h\\left(\\check{\\boldsymbol{x}}_k\\right)\\right),\\hat{\\boldsymbol{P}}_k=\\left(\\boldsymbol{I}-\\boldsymbol{K}_k\\boldsymbol{H}\\right)\\check{\\boldsymbol{P}}_k. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#914-ekf","title":"9.1.4 EKF \u7684\u8ba8\u8bba","text":"<ul> <li>\u5c40\u9650<ul> <li>\u5047\u8bbe\u4e86\u9a6c\u5c14\u53ef\u592b\u6027\uff0c\u4f46\u662f\u975e\u7ebf\u6027\u4f18\u5316\u662f\u5168\u4f53\u65f6\u95f4\u4e0a\u7684 SLAM (Full-SLAM)</li> <li>\u6709\u975e\u7ebf\u6027\u8bef\u5dee\uff08\u4e3b\u8981\u95ee\u9898\u6240\u5728\uff09</li> <li>\u5982\u679c\u628a\u8def\u6807\u4e5f\u653e\u8fdb\u72b6\u6001\uff0c\u5b58\u4e0d\u4e0b</li> <li>\u6ca1\u6709\u5f02\u5e38\u68c0\u6d4b\u673a\u5236</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#92-ba","title":"9.2 BA \u4e0e\u56fe\u4f18\u5316","text":"<ul> <li>Bundle Adjustment<ul> <li>\u4ece\u89c6\u89c9\u56fe\u50cf\u4e2d\u63d0\u70bc\u51fa\u6700\u6709\u7684 3 D \u6a21\u578b\u548c\u76f8\u673a\u53c2\u6570\uff0c\u8ba9\u5149\u7ebf\u6700\u7ec8\u6536\u675f\u5230\u76f8\u673a\u7684\u5149\u5fc3</li> </ul> </li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#921-ba","title":"9.2.1 \u6295\u5f71\u6a21\u578b\u548c BA \u4ee3\u4ef7\u51fd\u6570","text":"\\[ P^{\\prime}=Rp+t=[X^{\\prime},Y^{\\prime},Z^{\\prime}]^\\mathrm{T}. \\] \\[ \\boldsymbol{P}_{\\mathrm{c}}=[u_{\\mathrm{c}},v_{\\mathrm{c}},1]^{\\mathrm{T}}=[X^{\\prime}/Z^{\\prime},Y^{\\prime}/Z^{\\prime},1]^{\\mathrm{T}}. \\] \\[ \\begin{cases}u_\\mathrm{c}'=u_\\mathrm{c}\\left(1+k_1r_\\mathrm{c}^2+k_2r_\\mathrm{c}^4\\right)\\\\v_\\mathrm{c}'=v_\\mathrm{c}\\left(1+k_1r_\\mathrm{c}^2+k_2r_\\mathrm{c}^4\\right)\\end{cases}. \\] \\[ \\begin{cases}u_s=f_xu_\\mathrm{c}'+c_x\\\\[2ex]v_s=f_yv_\\mathrm{c}'+c_y\\end{cases}. \\] \\[ z=h(\\boldsymbol{x},\\boldsymbol{y}). \\] \\[ e=z-h(\\boldsymbol{T},\\boldsymbol{p}). \\] \\[ z\\overset{\\mathrm{def}}{\\operatorname*{=}}[u_s,v_s]^\\mathrm{T} \\] \\[ \\frac12\\sum_{i=1}^m\\sum_{j=1}^n\\|e_{ij}\\|^2=\\frac12\\sum_{i=1}^m\\sum_{j=1}^n\\|z_{ij}-h(\\boldsymbol{T}_i,\\boldsymbol{p}_j)\\|^2. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#922-ba","title":"9.2.2 BA \u7684\u6c42\u89e3","text":"\\[ x=[T_1,\\ldots,T_m,p_1,\\ldots,p_n]^\\mathrm{T}. \\] \\[ \\frac12\\left\\|f(\\boldsymbol{x}+\\Delta\\boldsymbol{x})\\right\\|^2\\approx\\frac12\\sum_{i=1}^m\\sum_{j=1}^n\\left\\|\\boldsymbol{e}_{ij}+\\boldsymbol{F}_{ij}\\Delta\\boldsymbol{\\xi}_i+\\boldsymbol{E}_{ij}\\Delta\\boldsymbol{p}_j\\right\\|^2. \\] \\[ x_{\\mathfrak{c}}=[\\boldsymbol{\\xi}_1,\\boldsymbol{\\xi}_2,\\ldots,\\boldsymbol{\\xi}_m]^{\\mathrm{T}}\\in\\mathbb{R}^{6m} \\] \\[ \\boldsymbol{x}_p=[\\boldsymbol{p}_1,\\boldsymbol{p}_2,\\ldots,\\boldsymbol{p}_n]^\\mathrm{T}\\in\\mathbb{R}^{3n} \\] \\[ \\frac12\\left\\|f(\\boldsymbol{x}+\\Delta\\boldsymbol{x})\\right\\|^2=\\frac12\\left\\|\\boldsymbol{e}+\\boldsymbol{F}\\Delta\\boldsymbol{x}_c+\\boldsymbol{E}\\Delta\\boldsymbol{x}_p\\right\\|^2. \\] \\[ \\boldsymbol{J}=[\\boldsymbol{F}\\boldsymbol{E}]. \\] \\[ H=J^\\mathrm{T}J=\\begin{bmatrix}F^\\mathrm{T}F&amp;F^\\mathrm{T}E\\\\E^\\mathrm{T}F&amp;E^\\mathrm{T}E\\end{bmatrix}. \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#923","title":"9.2.3 \u7a00\u758f\u6027\u548c\u8fb9\u7f18\u5316","text":"\\[ J_{ij}(x)=\\left(\\mathbf{0}_{2\\times6},\\ldots\\mathbf{0}_{2\\times6},\\frac{\\partial\\boldsymbol{e}_{ij}}{\\partial\\boldsymbol{T}_{i}},\\mathbf{0}_{2\\times6},\\ldots\\mathbf{0}_{2\\times3},\\ldots\\mathbf{0}_{2\\times3},\\frac{\\partial\\boldsymbol{e}_{ij}}{\\partial\\boldsymbol{p}_{j}},\\mathbf{0}_{2\\times3},\\ldots\\mathbf{0}_{2\\times3}\\right). \\] \\[ H=\\sum_{i,j}J_{ij}^{\\top}J_{ij}, \\] \\[ H=\\begin{bmatrix}H_{11}&amp;H_{12}\\\\\\\\H_{21}&amp;H_{22}\\end{bmatrix}. \\] <ul> <li>\u5bf9\u4e8e\u7a00\u758f\u77e9\u9635\uff0c\u6211\u4eec\u7528 Schur \u6d88\u5143\uff08Marginalization\uff09</li> </ul> \\[ \\begin{bmatrix}B&amp;E\\\\E^\\mathrm{T}&amp;C\\end{bmatrix}\\begin{bmatrix}\\Delta x_\\mathrm{c}\\\\\\Delta x_p\\end{bmatrix}=\\begin{bmatrix}v\\\\w\\end{bmatrix}. \\] \\[ \\begin{bmatrix}I&amp;-EC^{-1}\\\\0&amp;I\\end{bmatrix}\\begin{bmatrix}B&amp;E\\\\E^{\\intercal}&amp;C\\end{bmatrix}\\begin{bmatrix}\\Delta x_\\mathrm{c}\\\\\\Delta x_p\\end{bmatrix}=\\begin{bmatrix}I&amp;-EC^{-1}\\\\0&amp;I\\end{bmatrix}\\begin{bmatrix}v\\\\w\\end{bmatrix}. \\] \\[ \\begin{bmatrix}B-EC^{-1}E^\\mathrm{T}&amp;0\\\\E^\\mathrm{T}&amp;C\\end{bmatrix}\\begin{bmatrix}\\Delta x_\\mathrm{c}\\\\\\Delta x_p\\end{bmatrix}=\\begin{bmatrix}v-EC^{-1}w\\\\\\\\w\\end{bmatrix}. \\] \\[ \\begin{bmatrix}B-EC^{-1}E^\\mathrm{T}\\end{bmatrix}\\Delta x_\\mathrm{c}=v-EC^{-1}w. \\] <ul> <li>\u4f18\u52bf<ul> <li>\\(\\displaystyle \\boldsymbol{C}\\) \u4e3a\u5bf9\u89d2\u5757\uff0c\u9006\u6bd4\u8f83\u5bb9\u6613\u89e3\u51fa</li> </ul> </li> <li>\u975e\u5bf9\u89d2\u7ebf\u4e0a\u7684\u975e\u96f6\u77e9\u9635\u5757\u8868\u793a\u5bf9\u5e94\u7684\u4e24\u4e2a\u76f8\u673a\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u5171\u540c\u89c2\u6d4b\u7684\u8def\u6807\u70b9\uff0c\u5373\u5171\u89c6\uff08Co-visibility\uff09</li> </ul>"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#924","title":"9.2.4 \u9c81\u68d2\u6838\u51fd\u6570","text":"<ul> <li>Robust Kernel</li> </ul> \\[ H(e)=\\begin{cases}\\frac{1}{2}e^2&amp;\\text{\u5f53}|e|\\leqslant\\delta,\\\\\\\\\\delta\\left(|e|-\\frac{1}{2}\\delta\\right)&amp;\\text{\u5176\u4ed6}\\end{cases} \\]"},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#93-ceres-ba","title":"9.3 \u5b9e\u8df5: Ceres BA","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#931-bal","title":"9.3.1 BAL \u6570\u636e\u96c6","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#932-ceres-ba","title":"9.3.2 Ceres BA \u7684\u4e66\u5199","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#94-g-2-o-ba","title":"9.4 \u5b9e\u8df5: g 2 o \u6c42\u89e3 BA","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#95","title":"9.5 \u5c0f\u7ed3","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#10-2","title":"10 \u540e\u7aef 2","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#11_1","title":"11 \u56de\u73af\u68c0\u6d4b","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#12_1","title":"12 \u5efa\u56fe","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#13-slam","title":"13 \u5b9e\u8df5: \u8bbe\u8ba1 SLAM \u7cfb\u7edf","text":""},{"location":"traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/#14-slam","title":"14 SLAM: \u73b0\u5728\u4e0e\u672a\u6765","text":""}]}
\ No newline at end of file
diff --git a/sitemap.xml b/sitemap.xml
index ef93af30..637389f3 100644
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     </url>
     <url>
          <loc>https://WncFht.github.io/notes/links/</loc>
-         <lastmod>2024-11-26</lastmod>
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     <url>
          <loc>https://WncFht.github.io/notes/AI/</loc>
-         <lastmod>2024-11-26</lastmod>
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     <url>
          <loc>https://WncFht.github.io/notes/AI/Dive%20into%20Deep%20Learning/</loc>
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-         <lastmod>2024-11-26</lastmod>
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          <loc>https://WncFht.github.io/notes/AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/</loc>
-         <lastmod>2024-11-26</lastmod>
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     <url>
          <loc>https://WncFht.github.io/notes/AI/CS231n/Linear%20classification-Support%20Vector%20Machine%2C%20Softmax/</loc>
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+         <lastmod>2024-12-01</lastmod>
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     <url>
          <loc>https://WncFht.github.io/notes/AI/CS231n/Python%20Numpy/</loc>
-         <lastmod>2024-11-26</lastmod>
+         <lastmod>2024-12-01</lastmod>
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+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61a/COMPOSING%20PROGRAMS/">
+<span class="md-ellipsis">
+    COMPOSING PROGRAMS
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61a/cs61a/">
+<span class="md-ellipsis">
+    Cs61a
+  </span>
+</a>
+</li>
+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_2_5" type="checkbox"/>
+<label class="md-nav__link" for="__nav_2_5" id="__nav_2_5_label" tabindex="0">
+<span class="md-ellipsis">
+    cs61c
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_2_5_label" class="md-nav" data-md-level="2">
+<label class="md-nav__title" for="__nav_2_5">
+<span class="md-nav__icon md-icon"></span>
+            cs61c
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c/">
+<span class="md-ellipsis">
+    Cs61c
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec06/">
+<span class="md-ellipsis">
+    Cs61c lec06
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec07/">
+<span class="md-ellipsis">
+    Cs61c lec07
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec08/">
+<span class="md-ellipsis">
+    Cs61c lec08
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec09/">
+<span class="md-ellipsis">
+    Cs61c lec09
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec10/">
+<span class="md-ellipsis">
+    Cs61c lec10
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec11/">
+<span class="md-ellipsis">
+    Cs61c lec11
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec12/">
+<span class="md-ellipsis">
+    Cs61c lec12
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec13/">
+<span class="md-ellipsis">
+    Cs61c lec13
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec14/">
+<span class="md-ellipsis">
+    Cs61c lec14
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/cs61c_lec15/">
+<span class="md-ellipsis">
+    Cs61c lec15
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/cs61c/%E8%B7%B3%E8%BD%AC%E5%92%8C%E8%BF%94%E5%9B%9E%E7%9A%84%E5%87%BD%E6%95%B0/">
+<span class="md-ellipsis">
+    跳转和返回的函数
+  </span>
+</a>
+</li>
+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_2_6" type="checkbox"/>
+<label class="md-nav__link" for="__nav_2_6" id="__nav_2_6_label" tabindex="0">
+<span class="md-ellipsis">
+    计算机网络
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_2_6_label" class="md-nav" data-md-level="2">
+<label class="md-nav__title" for="__nav_2_6">
+<span class="md-nav__icon md-icon"></span>
+            计算机网络
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../CS%20basic/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BD%91%E7%BB%9C%E5%AE%89%E5%85%A8%E5%9F%BA%E7%A1%80/">
+<span class="md-ellipsis">
+    计算机网络安全基础
+  </span>
+</a>
+</li>
+</ul>
+</nav>
+</li>
+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_3" type="checkbox"/>
+<label class="md-nav__link" for="__nav_3" id="__nav_3_label" tabindex="0">
+<span class="md-ellipsis">
+    传统计算机视觉
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_3_label" class="md-nav" data-md-level="1">
+<label class="md-nav__title" for="__nav_3">
+<span class="md-nav__icon md-icon"></span>
+            传统计算机视觉
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../traditional%20cv/%E8%A7%86%E8%A7%89SLAM%E5%8D%81%E5%9B%9B%E8%AE%B2/">
+<span class="md-ellipsis">
+    视觉SLAM十四讲
+  </span>
+</a>
+</li>
+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_4" type="checkbox"/>
+<div class="md-nav__link md-nav__container">
+<a class="md-nav__link" href="../../AI/">
+<span class="md-ellipsis">
+    AI
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+</a>
+<label class="md-nav__link" for="__nav_4" id="__nav_4_label" tabindex="0">
+<span class="md-nav__icon md-icon"></span>
+</label>
+</div>
+<nav aria-expanded="false" aria-labelledby="__nav_4_label" class="md-nav" data-md-level="1">
+<label class="md-nav__title" for="__nav_4">
+<span class="md-nav__icon md-icon"></span>
+            AI
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/Dive%20into%20Deep%20Learning/">
+<span class="md-ellipsis">
+    Dive into Deep Learning
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/%E7%BB%9F%E8%AE%A1%E5%AD%A6%E4%B9%A0%E6%96%B9%E6%B3%95/">
+<span class="md-ellipsis">
+    统计学习方法
+  </span>
+</a>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_4_4" type="checkbox"/>
+<label class="md-nav__link" for="__nav_4_4" id="__nav_4_4_label" tabindex="0">
+<span class="md-ellipsis">
+    CS231n
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_4_4_label" class="md-nav" data-md-level="2">
+<label class="md-nav__title" for="__nav_4_4">
+<span class="md-nav__icon md-icon"></span>
+            CS231n
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/CS231n/Image%20Classification-Data-driven%20Approach%2C%20k-Nearest%20Neighbor%2C%20train_val_test%20splits/">
+<span class="md-ellipsis">
+    Image Classification-Data-driven Approach, k-Nearest Neighbor, train_val_test splits
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/CS231n/Linear%20classification-Support%20Vector%20Machine%2C%20Softmax/">
+<span class="md-ellipsis">
+    Linear classification-Support Vector Machine, Softmax
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/CS231n/Python%20Numpy/">
+<span class="md-ellipsis">
+    Python Numpy
+  </span>
+</a>
+</li>
+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_4_5" type="checkbox"/>
+<label class="md-nav__link" for="__nav_4_5" id="__nav_4_5_label" tabindex="0">
+<span class="md-ellipsis">
+    EECS 498-007
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_4_5_label" class="md-nav" data-md-level="2">
+<label class="md-nav__title" for="__nav_4_5">
+<span class="md-nav__icon md-icon"></span>
+            EECS 498-007
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+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/EECS%20498-007/KNN/">
+<span class="md-ellipsis">
+    KNN
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/EECS%20498-007/linear_classifer/">
+<span class="md-ellipsis">
+    Linear classifer
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../AI/EECS%20498-007/pytorch%20%E7%9A%84%E5%9F%BA%E6%9C%AC%E4%BD%BF%E7%94%A8/">
+<span class="md-ellipsis">
+    pytorch 的基本使用
+  </span>
+</a>
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+</nav>
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+<input class="md-nav__toggle md-toggle" id="__nav_5" type="checkbox"/>
+<label class="md-nav__link" for="__nav_5" id="__nav_5_label" tabindex="0">
+<span class="md-ellipsis">
+    Robot
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_5_label" class="md-nav" data-md-level="1">
+<label class="md-nav__title" for="__nav_5">
+<span class="md-nav__icon md-icon"></span>
+            Robot
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Robot/pnp/">
+<span class="md-ellipsis">
+    pnp
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Robot/%E5%8D%A1%E5%B0%94%E6%9B%BC%E6%BB%A4%E6%B3%A2/">
+<span class="md-ellipsis">
+    卡尔曼滤波
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Robot/%E7%9B%B8%E6%9C%BA%E6%A0%87%E5%AE%9A/">
+<span class="md-ellipsis">
+    相机标定
+  </span>
+</a>
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+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_6" type="checkbox"/>
+<label class="md-nav__link" for="__nav_6" id="__nav_6_label" tabindex="0">
+<span class="md-ellipsis">
+    环境配置
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+<span class="md-nav__icon md-icon"></span>
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+<nav aria-expanded="false" aria-labelledby="__nav_6_label" class="md-nav" data-md-level="1">
+<label class="md-nav__title" for="__nav_6">
+<span class="md-nav__icon md-icon"></span>
+            环境配置
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Environment/Ubuntu%E9%85%8D%E7%BD%AE/">
+<span class="md-ellipsis">
+    Ubuntu配置
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Environment/obsidian%20%E9%85%8D%E7%BD%AE/">
+<span class="md-ellipsis">
+    obsidian 配置
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Environment/%E5%BC%80%E5%8F%91%E7%8E%AF%E5%A2%83%E9%85%8D%E7%BD%AE/">
+<span class="md-ellipsis">
+    开发环境配置
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+</a>
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+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_7" type="checkbox"/>
+<label class="md-nav__link" for="__nav_7" id="__nav_7_label" tabindex="0">
+<span class="md-ellipsis">
+    一些工具
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+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_7_label" class="md-nav" data-md-level="1">
+<label class="md-nav__title" for="__nav_7">
+<span class="md-nav__icon md-icon"></span>
+            一些工具
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/CMake/">
+<span class="md-ellipsis">
+    CMake 相关
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/Makeflie/">
+<span class="md-ellipsis">
+    Makeflie
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/SSH/">
+<span class="md-ellipsis">
+    SSH配置指南
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+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/Tabby%20%2B%20Zsh/">
+<span class="md-ellipsis">
+    Tabby + Zsh 配置指南
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/chezmoi/">
+<span class="md-ellipsis">
+    用 chezmoi 实现跨设备同步配置
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/ffb6d-docker/">
+<span class="md-ellipsis">
+    Docker从入门到实践：以FFB6D环境配置为例
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/ffb6d/">
+<span class="md-ellipsis">
+    FFB6D环境配置指南：原生系统安装
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/mkdocs%20material/">
+<span class="md-ellipsis">
+    mkdocs material 超全配置
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../../Technology/prompt/">
+<span class="md-ellipsis">
+    常用 prompt 记录
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+</li>
+</ul>
+</nav>
+</li>
+<li class="md-nav__item md-nav__item--active md-nav__item--section md-nav__item--nested">
+<input checked="" class="md-nav__toggle md-toggle" id="__nav_8" type="checkbox"/>
+<label class="md-nav__link" for="__nav_8" id="__nav_8_label" tabindex="">
+<span class="md-ellipsis">
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+<span class="md-nav__icon md-icon"></span>
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+<nav aria-expanded="true" aria-labelledby="__nav_8_label" class="md-nav" data-md-level="1">
+<label class="md-nav__title" for="__nav_8">
+<span class="md-nav__icon md-icon"></span>
+            总结
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../202409-10/">
+<span class="md-ellipsis">
+    2024年9月10月总结
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../20241028-1103/">
+<span class="md-ellipsis">
+    2024 年第 44 周周结
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../20241104-1110/">
+<span class="md-ellipsis">
+    2024 年第 45 周周结
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../20241111-1117/">
+<span class="md-ellipsis">
+    2024 年第 46 周周结
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../20241118-1124/">
+<span class="md-ellipsis">
+    2024 年第 47 周周结
+  </span>
+</a>
+</li>
+<li class="md-nav__item md-nav__item--active">
+<input class="md-nav__toggle md-toggle" id="__toc" type="checkbox"/>
+<a class="md-nav__link md-nav__link--active" href="./">
+<span class="md-ellipsis">
+    2024 年第 48 周周结
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../2024summer_vacation/">
+<span class="md-ellipsis">
+    2024年高三-大一暑假总结
+  </span>
+</a>
+</li>
+<li class="md-nav__item md-nav__item--nested">
+<input class="md-nav__toggle md-toggle" id="__nav_8_8" type="checkbox"/>
+<label class="md-nav__link" for="__nav_8_8" id="__nav_8_8_label" tabindex="0">
+<span class="md-ellipsis">
+    high school
+  </span>
+<span class="md-nav__icon md-icon"></span>
+</label>
+<nav aria-expanded="false" aria-labelledby="__nav_8_8_label" class="md-nav" data-md-level="2">
+<label class="md-nav__title" for="__nav_8_8">
+<span class="md-nav__icon md-icon"></span>
+            high school
+          </label>
+<ul class="md-nav__list" data-md-scrollfix="">
+<li class="md-nav__item">
+<a class="md-nav__link" href="../high%20school/eng_fht/">
+<span class="md-ellipsis">
+    英语经验分享
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../high%20school/math_fht/">
+<span class="md-ellipsis">
+    数学经验分享
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../high%20school/phy_fht/">
+<span class="md-ellipsis">
+    物理经验分享
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+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../high%20school/tech_fht/">
+<span class="md-ellipsis">
+    技术经验分享
+  </span>
+</a>
+</li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../high%20school/%E4%B8%80%E4%BA%9B%E8%B5%84%E6%BA%90/">
+<span class="md-ellipsis">
+    一些资源
+  </span>
+</a>
+</li>
+</ul>
+</nav>
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+<article class="md-content__inner md-typeset">
+<a class="md-content__button md-icon" href="https://github.com/WncFht/notes/edit/main/docs/summary/20241125-1201.md" title="edit.link.title">
+<svg viewbox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M20.71 7.04c.39-.39.39-1.04 0-1.41l-2.34-2.34c-.37-.39-1.02-.39-1.41 0l-1.84 1.83 3.75 3.75M3 17.25V21h3.75L17.81 9.93l-3.75-3.75z"></path></svg>
+</a>
+<h1 id="2024-48"><span>2024<span class="heti-spacing"> </span></span>年第<span class="heti-skip"><span class="heti-spacing"> </span>48<span class="heti-spacing"> </span></span>周周结<a class="headerlink" href="#2024-48" title="Permanent link"><span><span class="heti-spacing"> </span>¶</span></a></h1>
+<div style="margin-top: -30px; font-size: 0.75em; opacity: 0.7;">
+<p><span class="twemoji"><svg viewbox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M12 2A10 10 0 0 0 2 12a10 10 0 0 0 10 10 10 10 0 0 0 10-10h-2a8 8 0 0 1-8 8 8 8 0 0 1-8-8 8 8 0 0 1 8-8zm6.78 1a.7.7 0 0 0-.48.2l-1.22 1.21 2.5 2.5L20.8 5.7c.26-.26.26-.7 0-.95L19.25 3.2c-.13-.13-.3-.2-.47-.2m-2.41 2.12L9 12.5V15h2.5l7.37-7.38z"></path></svg></span> 约<span class="heti-skip"><span class="heti-spacing"> </span>373<span class="heti-spacing"> </span></span>个字 <span class="twemoji"><svg viewbox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M21 17H7V3h14m0-2H7a2 2 0 0 0-2 2v14a2 2 0 0 0 2 2h14a2 2 0 0 0 2-2V3a2 2 0 0 0-2-2M3 5H1v16a2 2 0 0 0 2 2h16v-2H3m12.96-10.71-2.75 3.54-1.96-2.36L8.5 15h11z"></path></svg></span> <span>1<span class="heti-spacing"> </span></span>张图片 <span class="twemoji"><svg viewbox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M12 20c4.42 0 8-3.58 8-8s-3.58-8-8-8-8 3.58-8 8 3.58 8 8 8m0-18c5.5 0 10 4.5 10 10s-4.5 10-10 10C6.47 22 2 17.5 2 12S6.5 2 12 2m.5 11H11V7h1.5v4.26l3.7-2.13.75 1.3z"></path></svg></span> 预计阅读时间<span class="heti-skip"><span class="heti-spacing"> </span>1<span class="heti-spacing"> </span></span>分钟</p>
+</div>
+<p><span>11<span class="heti-spacing"> </span></span>月<span class="heti-skip"><span class="heti-spacing"> </span>25<span class="heti-spacing"> </span></span>日<span class="heti-skip"><span class="heti-spacing"> </span>- 12<span class="heti-spacing"> </span></span>月<span class="heti-skip"><span class="heti-spacing"> </span>01<span class="heti-spacing"> </span></span>日</p>
+<ul>
+<li>总结<ul>
+<li>CS231n<ul>
+<li>写完了<span class="heti-skip"><span class="heti-spacing"> </span>assignment 3<span class="heti-spacing"> </span></span>的<span class="heti-skip"><span class="heti-spacing"> </span>LSTM,<span class="heti-spacing"> </span></span>后面好像还有<span class="heti-skip"><span class="heti-spacing"> </span>transformer<span class="heti-spacing"> </span></span>啥的，还没来得及写。</li>
+<li>感觉课程视频真的简略（<span>d2l<span class="heti-spacing"> </span></span>一个模型就会拉出来讲一节）</li>
+</ul>
+</li>
+<li>课内<ul>
+<li>周一到周三做了一个<a href="https://github.com/WncFht/Wordle-with-Solver"><span><span class="heti-spacing"> </span>proj</span></a>。</li>
+<li>结果还是很好的，一个人把所有的代码都写了，最后分数也是拿满了。</li>
+<li>顺便学了<span class="heti-skip"><span class="heti-spacing"> </span>reveal-md<span class="heti-spacing"> </span></span>和<span><span class="heti-spacing"> </span>beamer</span>。写了个<a href="https://github.com/WncFht/slides">小工具</a>，用来部署<span class="heti-skip"><span class="heti-spacing"> </span>slides<span class="heti-spacing"> </span></span>到网页上。同时可以实现增量构建。</li>
+<li>学了如何使用<span><span class="heti-spacing"> </span>GitHub release</span>。</li>
+</ul>
+</li>
+<li><span>RM<span class="heti-spacing"> </span></span>项目<ul>
+<li>放弃了<span><span class="heti-spacing"> </span>docker</span>， 直接在电脑上配置环境。成功跑起来了训练。克服了一些梯度消失和爆炸的问题，跑了<span class="heti-skip"><span class="heti-spacing"> </span>8<span class="heti-spacing"> </span></span>个<span><span class="heti-spacing"> </span>epoch</span>，似乎有一点过拟合。</li>
+<li><a class="glightbox" data-desc-position="bottom" data-height="auto" data-type="image" data-width="80%" href="https://raw.githubusercontent.com/WncFht/picture/main/picture/cb41a325916ee81bfadf4f70afc2c26.png"><img alt="测试结果" src="https://raw.githubusercontent.com/WncFht/picture/main/picture/cb41a325916ee81bfadf4f70afc2c26.png"/></a></li>
+</ul>
+</li>
+<li>赶进度，学了期中考以后教的数学化学计算机内容，考完了计算机第二次期中考。</li>
+<li>写英语论文，近代史读书报告。豆包似乎在中文写作方面比较好，甚至有类似于<span class="heti-skip"><span class="heti-spacing"> </span>ChatGPT canvas<span class="heti-spacing"> </span></span>一样的功能。</li>
+</ul>
+</li>
+<li>计划<ul>
+<li>推进<span><span class="heti-spacing"> </span>CS231n</span>，学得真慢啊。</li>
+<li>准备四级。</li>
+<li><span>4090<span class="heti-spacing"> </span></span>训练好慢，打算把模型弄到服务器上用<span><span class="heti-spacing"> </span>A100</span>。</li>
+<li>准备期末复习。</li>
+<li>科研投入时间太少了，位姿识别做的差不多了，就多把时间放到科研上面。多学点东西，说实话感觉下半学期明显没有学到什么东西。</li>
+<li>运动，规律作息，减少刺激性娱乐。</li>
+</ul>
+</li>
+</ul>
+<div id="__comments"></div>
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diff --git a/summary/2024summer_vacation/index.html b/summary/2024summer_vacation/index.html
index 7525cdc6..bea36c21 100644
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@@ -5,10 +5,10 @@
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 <link href="https://WncFht.github.io/notes/summary/2024summer_vacation/" rel="canonical"/>
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 <link href="../high%20school/eng_fht/" rel="next"/>
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-<meta content="mkdocs-1.6.1, mkdocs-material-9.5.46" name="generator"/>
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@@ -815,6 +815,13 @@
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 </a>
 </li>
+<li class="md-nav__item">
+<a class="md-nav__link" href="../20241125-1201/">
+<span class="md-ellipsis">
+    2024 年第 48 周周结
+  </span>
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 <input class="md-nav__toggle md-toggle" id="__toc" type="checkbox"/>
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+<input class="md-nav__toggle md-toggle" id="__nav_8_8" type="checkbox"/>
+<label class="md-nav__link" for="__nav_8_8" id="__nav_8_8_label" tabindex="0">
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+<nav aria-expanded="false" aria-labelledby="__nav_8_8_label" class="md-nav" data-md-level="2">
+<label class="md-nav__title" for="__nav_8_8">
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diff --git a/summary/high school/eng_fht/index.html b/summary/high school/eng_fht/index.html
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@@ -816,6 +816,13 @@
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+<a class="md-nav__link" href="../../20241125-1201/">
+<span class="md-ellipsis">
+    2024 年第 48 周周结
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+<li class="md-nav__item">
 <a class="md-nav__link" href="../../2024summer_vacation/">
 <span class="md-ellipsis">
     2024年高三-大一暑假总结
@@ -823,15 +830,15 @@
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+<label class="md-nav__title" for="__nav_8_8">
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diff --git a/summary/high school/math_fht/index.html b/summary/high school/math_fht/index.html
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--- a/summary/high school/math_fht/index.html	
+++ b/summary/high school/math_fht/index.html	
@@ -8,7 +8,7 @@
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