I'm trying to use sagetex package,
but then I found this kind of problem when running the code,
may anyone help?
Here is the code:
\documentclass{article}
\usepackage{sagetex}
\begin{document}
Using Sage\TeX, one can use Sage to compute things and put them into
your \LaTeX{} document. For example, there are
$\sage{number_of_partitions(1269)}$ integer partitions of $1269$.
You don't need to compute the number yourself, or even cut and paste
it from somewhere.
Here's some Sage code:
\begin{sageblock}
f(x) = exp(x) * sin(2*x)
\end{sageblock}
The second derivative of $f$ is
\[
\frac{\mathrm{d}^{2}}{\mathrm{d}x^{2}} \sage{f(x)} =
\sage{diff(f, x, 2)(x)}.
\]
Here's a plot of $f$ from $-1$ to $1$:
\sageplot{plot(f, -1, 1)}
\sageplot[scale=.5]{plot3d(sin(pi*(x^2+y^2))/2,(x,-1,1),(y,-1,1))}
we know that 2010 factors to $\sage{factor(2010)}$
\begin{sagesilent}
m=identity_matrix(QQ,3)
m[0]=m[0]+m[1]
m[1]=m[1]-m[2]
m[2]=m[2]-2*m[1]
m[1]=m[1]+3*m[0]
m[0]=2*m[0]
\end{sagesilent}
Compute the rref of $\sage{m}$
\begin{sageblock}
g(x)=taylor(tan(x),x,0,10)
\end{sageblock}
$$\tan(x)=\sage{g(x)}$$
\end{document}
Best Answer
Running
produces an auxiliary file that contains all the computations Sage needs to do:
Running Sage on this file:
computes the results of all these computations, so that the next time you run
the results of the computations are included and appear in the resulting pdf.