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Diffstat (limited to 'Master/texmf-dist/doc/latex/stex/example/paper/differentiable.tex')
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diff --git a/Master/texmf-dist/doc/latex/stex/example/paper/differentiable.tex b/Master/texmf-dist/doc/latex/stex/example/paper/differentiable.tex new file mode 100644 index 00000000000..ee9c66f9409 --- /dev/null +++ b/Master/texmf-dist/doc/latex/stex/example/paper/differentiable.tex @@ -0,0 +1,16 @@ +\begin{omgroup}[id=sec.differentiable]{Differentiable Functions} +\begin{module}[id=differentiable] +\importmodule[continuous]{continuous} +\symdef{difffunctions}[2]{\mathcal{C}^1(#1,#2)} +\abbrdef{DiffRR}[2]{\difffunctions\RealNumbers\RealNumbers} +\begin{definition} + A function $\fun{f}\RealNumbers\RealNumbers$ is called {\defin{differentiable}} at + $\inset{x}\RealNumbers$, iff for all $\epsilon>0$ there is a $\delta>0$, such that + $\rfrac{\absval{f(x)-f(y)}}{\absval{x-y}}<\epsilon$ for all $\absval{x-y}<\delta$. +\end{definition} +\end{module} +\end{omgroup} +%%% Local Variables: +%%% mode: LaTeX +%%% TeX-master: "paper" +%%% End: |