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-\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: