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z90Q~P3~rs6U_aZ|*y!7=7{?j%)TxBwKftEviJuvcRLEcEoGK!6_1(t&U|~@1oU>GaJ_)y*68(%96Q`J z|5|89oX65;wP0v(^?nXd1o=yp^E413FB|LzpGV^kEj0O!*UDg*vPBAx1INt4!p_MF LO-d>vCkp*vuc_l6 diff --git a/ws2019/ana/lectures/analysis.tex b/ws2019/ana/lectures/analysis.tex index e71f44b..342ec09 100644 --- a/ws2019/ana/lectures/analysis.tex +++ b/ws2019/ana/lectures/analysis.tex @@ -28,5 +28,6 @@ \input{analysis13.tex} \input{analysis14.tex} \input{analysis15.tex} +\input{analysis16.tex} \end{document} diff --git a/ws2019/ana/lectures/analysis16.tex b/ws2019/ana/lectures/analysis16.tex index 2e0f10b..6f849b3 100644 --- a/ws2019/ana/lectures/analysis16.tex +++ b/ws2019/ana/lectures/analysis16.tex @@ -185,7 +185,7 @@ in dieser Umgebung. \end{definition} \begin{satz} - Stetige reelwertige Funktionen nehmen auf kompakten Mengen + Stetige reellwertige Funktionen nehmen auf kompakten Mengen ihr Minimum und Maximum an, d.h. $f\colon D \to \R$ stetig, $D$ kompakt, dann ex. $x_{min}, x_{max} \in D$ mit \\ $f(x_{min}) = \text{inf } \{f(x) \mid x \in D\} $ \\