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diff --git a/Master/texmf-dist/doc/latex/stex/example/paper/continuous.tex b/Master/texmf-dist/doc/latex/stex/example/paper/continuous.tex new file mode 100644 index 00000000000..96a8edd9123 --- /dev/null +++ b/Master/texmf-dist/doc/latex/stex/example/paper/continuous.tex @@ -0,0 +1,20 @@ +\begin{omgroup}[id=sec.contfuncs]{Continuous Functions} +\begin{module}[id=continuous] +\importmodule[\backmods{functions}]{functions} +\importmodule[\backmods{reals}]{reals} +\symdef{continuousfunctions}[2]{\mathcal{C}^0(#1,#2)} +\abbrdef{ContRR}[2]{\continuousfunctions\RealNumbers\RealNumbers} +\begin{definition}[for=continuousfunctions] + A function $\fun{f}\RealNumbers\RealNumbers$ is called {\defi{continuous}} at + $\inset{x}\RealNumbers$, iff for all $\epsilon>0$ there is a $\delta>0$, such that + $\absval{f(x)-f(y)}<\epsilon$ for all $\absval{x-y}<\delta$. It is called + {\defii{continuous}{on}} a set $\sseteq{S}\RealNumbers$, iff is is continous at all + $\inset{x}S$, the set of all such functions is denoted with $\continuousfunctions{S}T$, + if $\sseteq{f(S)}T$. +\end{definition} +\end{module} +\end{omgroup} +%%% Local Variables: +%%% mode: LaTeX +%%% TeX-master: "paper" +%%% End: |