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authorKarl Berry <karl@freefriends.org>2005-12-29 00:26:31 +0000
committerKarl Berry <karl@freefriends.org>2005-12-29 00:26:31 +0000
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treed488910550c0a1dacc75509f02d03551d88ed2f4 /Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex
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+\documentclass{article}
+\usepackage{german}
+\begin{document}
+\noindent\textbf{Erstes L"osungsbeispiel}:\\[1ex]
+Die L"osung f"ur das Gleichungssystem
+\[ \renewcommand{\arraystretch}{1.2}
+ F(x,y) = 0\quad\mbox{und}\quad
+ \left|\begin{array}{ccc}
+ F''_{xx} & F''_{xy} & F'_x\\
+ F''_{yx} & F''_{yy} & F'_y\\
+ F'_x & F'_y & 0
+ \end{array}\right| = 0
+\]
+liefert die Koordinaten der m"oglichen Wendepunkte von $F(x,y) = 0$.
+
+\bigskip
+\noindent\textbf{Zweites L"osungsbeispiel}:\\[1ex]
+Die L"osung f"ur das Gleichungssystem
+\[ \renewcommand{\arraystretch}{1.2}
+ F(x,y) = 0\quad\mbox{und}\quad\begin{array}{|ccc|}
+ F''_{xx} & F''_{xy} & F'_x\\
+ F''_{yx} & F''_{yy} & F'_y\\
+ F'_x & F'_y & 0
+ \end{array} = 0
+\]
+liefert die Koordinaten der m"oglichen Wendepunkte von $F(x,y) = 0$.
+\end{document}
+