CoCalc Public Files2016-04-26-testfile.texOpen with one click!
Author: Jim Morrow
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Compute Environment: Ubuntu 18.04 (Deprecated)
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\documentclass{article}
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\title{Title of Document}
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\author{Name of Author}
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\usepackage{sagetex}
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\begin{document}
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\maketitle
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Using Sage\TeX, one can use Sage to compute things and put them into
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your \LaTeX{} document. For example, there are
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$\sage{number_of_partitions(1269)}$ integer partitions of $1269$.
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You don't need to compute the number yourself, or even cut and paste
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it from somewhere.
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Here's some Sage code:
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\begin{sageblock}
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f(x) = exp(x) * sin(2*x)
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\end{sageblock}
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The second derivative of $f$ is
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\[
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\frac{\mathrm{d}^{2}}{\mathrm{d}x^{2}} \sage{f(x)} =
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\sage{diff(f, x, 2)(x)}.
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\]
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Here's a plot of $f$ from $-1$ to $1$:
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\sageplot{plot(f, -1, 1)}
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\begin{sageblock}
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a = var('a')
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b = var('b')
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d = {a: [2], 2: [a,3,b], 3: [2,4,b], 4: [3,5,b], 5:[6,b], b: [2,3,4,5,6]}
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G = Graph(d)
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G.add_edge((a,b,'foo'))
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\end{sageblock}
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\begin{center}
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\sageplot[width=.7\textwidth]{G.plot(color_by_label={None:'black','foo':'red'})}
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\end{center}
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\end{document}
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