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changing d\lambda to \delta\lambda in scallling.ipynb
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w9_disorder/scaling.ipynb

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@@ -125,11 +125,11 @@
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"\n",
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"$$g(2L)=f(g(L)),$$\n",
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"\n",
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"where $f$ is some function. We can use this equation to relate the conductances at a bunch of different length scales, but not quite at all continuous lengths. We could create a larger set of similar relations by increasing the block size by a factor of $b$ instead of $2$. By choosing $b=1+d\\lambda$, we can write the equation\n",
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"where $f$ is some function. We can use this equation to relate the conductances at a bunch of different length scales, but not quite at all continuous lengths. We could create a larger set of similar relations by increasing the block size by a factor of $b$ instead of $2$. By choosing $b=1+\\delta{\\lambda}$, we can write the equation\n",
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"\n",
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"$$g(b L)=g(L(1+d\\lambda))=g(L)+g(L)\\beta(g(L))d\\lambda,$$\n",
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"$$g(b L)=g(L(1+\\delta\\lambda))=g(L)+g(L)\\beta(g(L))\\delta\\lambda,$$\n",
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"\n",
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"where $\\beta$ is a function called the scaling function or often simply the *beta function*. Taking the limit $d\\lambda\\rightarrow 0$ we obtain the *scaling equation*\n",
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"where $\\beta$ is a function called the scaling function or often simply the *beta function*. Taking the limit $\\delta\\lambda\\rightarrow 0$ we obtain the *scaling equation*\n",
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"\n",
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"$$\\frac{d\\textrm{ln}g}{d\\textrm{ln}L}=\\beta(g).$$\n",
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"\n",

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