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@@ -18,7 +18,7 @@
 
 
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@@ -54,7 +54,7 @@
 
 
 
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@@ -948,7 +948,7 @@ <h1>The End of Internet (404 - Not found)</h1>
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diff --git a/course/artificial-intelligence/index.html b/course/artificial-intelligence/index.html
@@ -19,7 +19,7 @@
         <link rel="next" href="../calculus-1/">
 
       <link rel="icon" href="../../assets/logo.png">
-      <meta name="generator" content="mkdocs-1.4.3, mkdocs-material-9.1.16">
+      <meta name="generator" content="mkdocs-1.4.3, mkdocs-material-9.1.17">
 
 
 
@@ -54,7 +54,7 @@
 
 
 
-  <script data-host="https://microanalytics.io" data-dnt="false" src="https://microanalytics.io/js/script.js" id="ZwSg9rf6GA" async defer></script>  
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@@ -999,7 +999,7 @@ <h2 id="Bias-vs-Variance">Bias vs. Variance<a class="headerlink" href="#Bias-vs-
 &amp;= \overline{(\hat y - \overline{\hat y})^2}
     + \overline{\qty(\overline{\hat y} - y)^2}
     + 2 \overline{\qty(\hat y - \overline{\hat y}) (\overline{\hat y} - y)} \\
-&amp;= 
+&amp;=
 \end{split}
 \]</div>
 <p>？？？</p>
@@ -1113,7 +1113,7 @@ <h2 id="__comments">评论</h2>
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diff --git a/course/calculus-1/index.html b/course/calculus-1/index.html
@@ -19,7 +19,7 @@
         <link rel="next" href="../calculus-2/">
 
       <link rel="icon" href="../../assets/logo.png">
-      <meta name="generator" content="mkdocs-1.4.3, mkdocs-material-9.1.16">
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@@ -54,7 +54,7 @@
 
 
 
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@@ -1692,14 +1692,14 @@ <h4 id="双曲函数与三角函数的对应">双曲函数与三角函数的对
 <p>2021年4月23日：</p>
 <p>事实上双曲函数与三角函数的关系和反关系一样。例如</p>
 <div class="arithmatex">\[
-\sinh x 
+\sinh x
 = \i \sin\frac x\i
 = \i \sin\frac{\i x}{\i^2}
 = \i \sin(-\i x)
 = -\i \sin(\i x)
 = \frac{\sin(\i x)}{\i}
 \]</div>
-<p>这与 <span class="arithmatex">\(\sin x =\frac{\sinh(\i x)}{\i}\)</span> 完全一致。 </p>
+<p>这与 <span class="arithmatex">\(\sin x =\frac{\sinh(\i x)}{\i}\)</span> 完全一致。</p>
 </blockquote>
 <h4 id="一些等式">一些等式<a class="headerlink" href="#一些等式" title="Permanent link">&para;</a></h4>
 <div class="arithmatex">\[
@@ -1735,8 +1735,8 @@ <h4 id="定义与性质">定义与性质<a class="headerlink" href="#定义与
 <p>复合函数 <span class="arithmatex">\(x_1 \mathop{\rightarrow}^{f_{12}} x_2 \mathop{\rightarrow}^{f_{23}} x_3 \\\)</span> 的极限：</p>
 <div class="arithmatex">\[
 \lim_{x_1\to L_1} f_{12}(x_1) = L_2 \land
-f_{12}(x_1)\neq L_2 \land 
-\lim_{x_2\to L_2} f_{23}(x_2) = L_3 
+f_{12}(x_1)\neq L_2 \land
+\lim_{x_2\to L_2} f_{23}(x_2) = L_3
 \quad\Rightarrow\quad
 \lim_{x_1\to L_1} f_{23}\circ f_{12} \circ x_1 = L_3
 \]</div>
@@ -1866,7 +1866,7 @@ <h4 id="1infty-0infty"><span class="arithmatex">\(1^\infty,\ 0^\infty\)</span><a
 <div class="arithmatex">\[
 \displaylines{
 \alpha \to 0,\ \beta \to \infty,\ \alpha\beta \to L \\
-\Rightarrow (1+\alpha)^\beta 
+\Rightarrow (1+\alpha)^\beta
 = (1+\alpha)^{\frac{1}{\alpha} \cdot \alpha\beta}
 = \left( (1+\alpha)^{\frac 1\alpha}\right) ^ {\alpha\beta}
 \to \e^L
@@ -1926,7 +1926,7 @@ <h4 id="带Peano余项的Taylor展开">带Peano余项的Taylor展开<a class="he
 \begin{split}
 \lim_{x\to0} \frac{\sqrt{1+x}+\sqrt{1-x}-2}{x^2}
 &amp;= \lim_{x\to0} \frac{\left(1 +\frac{x}2 -\frac{x^2}{8} + o(x^2) \right) +
-\left(1 +\frac{-x}2 -\frac{(-x)^2}{8} + o(x^2) \right) - 
+\left(1 +\frac{-x}2 -\frac{(-x)^2}{8} + o(x^2) \right) -
 2}{x^2} \\
 &amp;= \lim_{x\to0} \frac{-\frac{x^2}4 + o(x^2)}{x^2}
 = -\frac14
@@ -1992,7 +1992,7 @@ <h4 id="目的">目的<a class="headerlink" href="#目的" title="Permanent link
 \begin{split}
 \int \dfrac{c_1x + c_0}{(x^2 - 2\alpha x + \beta)^\mu} \d x
 &amp;= \int \dfrac{c_1(x-\alpha) + c_1\alpha + c_0}{((x-\alpha)^2 + \beta - \alpha^2)^\mu} \d x \\
-&amp;= \frac{c_1}{2(\beta-\alpha^2)^{\mu-1}} \cdot \int\frac{\d \frac{(x-\alpha)^2}{\beta-\alpha^2}} {\left(\frac{(x-\alpha)^2}{\beta-\alpha^2} + 1 \right)^\mu} + 
+&amp;= \frac{c_1}{2(\beta-\alpha^2)^{\mu-1}} \cdot \int\frac{\d \frac{(x-\alpha)^2}{\beta-\alpha^2}} {\left(\frac{(x-\alpha)^2}{\beta-\alpha^2} + 1 \right)^\mu} +
 \frac{c_1\alpha + c_0}{(\beta-\alpha^2)^{\mu-\frac12}} \cdot \int\frac{\d \frac{x-\alpha}{\sqrt{\beta-\alpha^2}}} {\left(\frac{(x-\alpha)^2}{\beta-\alpha^2} + 1 \right)^\mu} \\
 &amp;\rightarrow
 \int \frac{\d u}{(u+1)^\mu} + \int \frac{\d x}{(x^2+1)^\mu}
@@ -2055,7 +2055,7 @@ <h4 id="特殊">特殊<a class="headerlink" href="#特殊" title="Permanent link
 \begin{split}
 \int \frac{c_1x + c_0}{x^2 - 2\alpha x + \beta} \d x
 &amp;= \frac{c_1}2 \ln(x^2 - 2\alpha x + \beta) + \int \frac{c_1 \alpha + c_0}{x^2 - 2\alpha x + \beta}\d x \\
-&amp;= \frac{c_1}2 \ln(x^2 - 2\alpha x + \beta) + 
+&amp;= \frac{c_1}2 \ln(x^2 - 2\alpha x + \beta) +
 \frac{c_1\alpha+c_0}{\sqrt{\beta-\alpha^2}}\cdot \arctan \frac{x-\alpha}{\sqrt{\beta - \alpha^2}} +
 \const
 \end{split}
@@ -2075,8 +2075,8 @@ <h3 id="三角有理式">三角有理式<a class="headerlink" href="#三角有
 \displaylines{
 \int \tan^2 x\d x = \int (\sec^2 x - 1)\d x = \tan(x) - x + \const \\
 \begin{split}
-\int \frac{x\d x}{1+\cos x} 
-&amp;= \int \frac{x}{2} \sec^2\frac{x}{2} \d x 
+\int \frac{x\d x}{1+\cos x}
+&amp;= \int \frac{x}{2} \sec^2\frac{x}{2} \d x
 = \int x\d \tan\frac{x}{2} \\
 &amp;= x \tan\frac{x}{2} - \int \tan\frac{x}{2}\d x  \\
 &amp;= x \tan\frac{x}{2} + 2\ln \cos\frac{x}{2} + \const
@@ -2314,7 +2314,7 @@ <h2 id="__comments">评论</h2>
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diff --git a/course/calculus-2/index.html b/course/calculus-2/index.html
@@ -19,7 +19,7 @@
         <link rel="next" href="../complex-functions-and-equations-of-mathematical-physics/">
 
       <link rel="icon" href="../../assets/logo.png">
-      <meta name="generator" content="mkdocs-1.4.3, mkdocs-material-9.1.16">
+      <meta name="generator" content="mkdocs-1.4.3, mkdocs-material-9.1.17">
 
 
 
@@ -54,7 +54,7 @@
 
 
 
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     <script>"undefined"!=typeof __md_analytics&&__md_analytics()</script>
 
@@ -1594,7 +1594,7 @@ <h3 id="积分元素">积分元素<a class="headerlink" href="#积分元素" tit
     \d x &amp; \d x\d y &amp; \d x\d y\d z \\
     &amp; \rho\d\theta\d\rho &amp; \rho\d\theta\d\rho\d z \\
     &amp; &amp; r\sin\varphi\d\theta\ r\d\varphi \d r \\
-    &amp; &amp; = \d\theta \sin\varphi\d\varphi\ r^2\d r 
+    &amp; &amp; = \d\theta \sin\varphi\d\varphi\ r^2\d r
 \end{array}
 \]</div>
 <h3 id="三角函数单项式的定积分">三角函数单项式的定积分<a class="headerlink" href="#三角函数单项式的定积分" title="Permanent link">&para;</a></h3>
@@ -2002,7 +2002,7 @@ <h2 id="__comments">评论</h2>
     <script id="__config" type="application/json">{"base": "../..", "features": ["navigation.instant", "navigation.top", "navigation.tabs", "content.action.view", "content.action.edit"], "search": "../../assets/javascripts/workers/search.208ed371.min.js", "translations": {"clipboard.copied": "\u5df2\u590d\u5236", "clipboard.copy": "\u590d\u5236", "search.result.more.one": "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.more.other": "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 # \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.none": "\u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.one": "\u627e\u5230 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.other": "# \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.placeholder": "\u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22", "search.result.term.missing": "\u7f3a\u5c11", "select.version": "\u9009\u62e9\u5f53\u524d\u7248\u672c"}}</script>
 
 
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diff --git a/course/complex-functions-and-equations-of-mathematical-physics/index.html b/course/complex-functions-and-equations-of-mathematical-physics/index.html
@@ -19,7 +19,7 @@
         <link rel="next" href="../cpp-and-data-structure/">
 
       <link rel="icon" href="../../assets/logo.png">
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@@ -54,7 +54,7 @@
 
 
 
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@@ -1542,7 +1542,7 @@ <h3 id="其它方法">其它方法<a class="headerlink" href="#其它方法" tit
 <div class="arithmatex">\[
 \begin{split}
     &amp;\oint\limits_C \frac{z^{15} \dd{z}} {\qty(z^2-1)^2 \qty(z^4+2)} \\
-    &amp;= \oint\limits_{2C} \frac{u^{7} \dd{\frac u2}} {\qty(u-1)^2 \qty(u^2+2)} 
+    &amp;= \oint\limits_{2C} \frac{u^{7} \dd{\frac u2}} {\qty(u-1)^2 \qty(u^2+2)}
         \qquad (u=z^2) \\
     &amp;= \oint\limits_{C} \frac{u^{7} \dd{u}} {\qty(u-1)^2 \qty(u^2+2)} \\
     &amp;= - 2\pi i\ \Res(\frac{u^7} {\qty(u-1)^2 \qty(u^2+2)}, \infty) \\
@@ -1746,7 +1746,7 @@ <h4 id="线性非齐次常系数微分方程">线性非齐次常系数微分方
 <p>现在一点儿一点儿积分回去。</p>
 <div class="arithmatex">\[
 \begin{split}
-e^{2ikx} u' 
+e^{2ikx} u'
 &amp;= 0+ \int\limits_0^x \eval{\qty(e^{2ikx}u')'}_\xi \dd{\xi} \\
 &amp;= \int\limits_0^x e^{ik\xi} \eval{f}_\xi \dd{\xi}. \\
 \end{split}
@@ -1831,7 +1831,7 @@ <h3 id="调和方程的格林函数法">调和方程的格林函数法<a class="
 \]</div>
 <p>移项，</p>
 <div class="arithmatex">\[
-\eval{u}_{\vb* x} 
+\eval{u}_{\vb* x}
 = \iiint \eval{G}_{\vb* x, \vb* x_0} \eval{F}_{\vb* x_0} \dd{V_0}
     + \oiint \eval{(u \grad_0 G - G \grad_0 u)}_{\vb* x_0} \vdot \dd{\vb* S_0}.
 \]</div>
@@ -2172,7 +2172,7 @@ <h2 id="__comments">评论</h2>
     <script id="__config" type="application/json">{"base": "../..", "features": ["navigation.instant", "navigation.top", "navigation.tabs", "content.action.view", "content.action.edit"], "search": "../../assets/javascripts/workers/search.208ed371.min.js", "translations": {"clipboard.copied": "\u5df2\u590d\u5236", "clipboard.copy": "\u590d\u5236", "search.result.more.one": "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.more.other": "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 # \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.none": "\u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.one": "\u627e\u5230 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.other": "# \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.placeholder": "\u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22", "search.result.term.missing": "\u7f3a\u5c11", "select.version": "\u9009\u62e9\u5f53\u524d\u7248\u672c"}}</script>
 
 
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diff --git a/course/cpp-and-data-structure/index.html b/course/cpp-and-data-structure/index.html
@@ -19,7 +19,7 @@
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@@ -54,7 +54,7 @@
 
 
 
-  <script data-host="https://microanalytics.io" data-dnt="false" src="https://microanalytics.io/js/script.js" id="ZwSg9rf6GA" async defer></script>  
+  <script data-host="https://microanalytics.io" data-dnt="false" src="https://microanalytics.io/js/script.js" id="ZwSg9rf6GA" async defer></script>
 
     <script>"undefined"!=typeof __md_analytics&&__md_analytics()</script>
 
@@ -2382,7 +2382,7 @@ <h2 id="__comments">评论</h2>
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+      <script src="../../assets/javascripts/bundle.b425cdc4.min.js"></script>
 
 
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