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Updated diffusion and functino notebooks
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lessons/python/hillslope_diffusion.ipynb

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"\n",
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"When you combine these together, here's what you get:\n",
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"\n",
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"$$\\frac{\\partial z}{\\partial t} = K_c \\frac{\\partial^2 z}{\\partial x^2}$$\n",
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"$$\\boxed{\\frac{\\partial z}{\\partial t} = K_c \\frac{\\partial^2 z}{\\partial x^2}}$$\n",
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"\n",
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"This has exactly the form of a 1D diffusion equation!\n",
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"We will revisit this and built more code from skratch for it in a later lecture.\n",
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},
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"cell_type": "markdown",
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"id": "d5416bd3-1024-4a31-90d2-b149f257263e",
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"metadata": {},
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"metadata": {
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"jupyter": {
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"source_hidden": true
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}
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},
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"source": [
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"### Simulating hillslope evolution by soil creep\n",
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"Suppose we want to model the formation of a ridge between two streams. Each stream is cutting down at a given rate. Our domain consists of a cross-sectional profile from one stream to the other.\n",

lessons/python/hillslope_functions.ipynb

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"\n",
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"In the [diffusion](diffusion.ipynb) notebook,\n",
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"In Python For Modeling II notebook,\n",
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"we wrote code\n",
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"to solve the one-dimensional diffusion equation numerically,\n",
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"evolve the solution with time,\n",

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