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author | Karl Berry <karl@freefriends.org> | 2005-12-29 00:26:31 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2005-12-29 00:26:31 +0000 |
commit | c365d78bfcdeb6493a68e35e852244839c1c9ee4 (patch) | |
tree | d488910550c0a1dacc75509f02d03551d88ed2f4 /Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex | |
parent | 0d5f68998e0af490bbfdeb67a5dada34c034c8b0 (diff) |
doc/french+
git-svn-id: svn://tug.org/texlive/trunk@16 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex')
-rw-r--r-- | Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex b/Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex new file mode 100644 index 00000000000..415106a9b5e --- /dev/null +++ b/Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-13.tex @@ -0,0 +1,28 @@ +\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} + |