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authorAndreas Müller <andreas.mueller@ost.ch>2021-02-09 21:52:16 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-02-09 21:52:16 +0100
commitada53a9c225b896c8d7608300427aac475bb7045 (patch)
tree1b1fe99c3e78256ff839611225dd61d983b96575 /buch/chapters/50-permutationen/images/permutation.tex
parentIllustrationen Markov-Ketten (diff)
downloadSeminarMatrizen-ada53a9c225b896c8d7608300427aac475bb7045.tar.gz
SeminarMatrizen-ada53a9c225b896c8d7608300427aac475bb7045.zip
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+%
+% permutation.tex -- Definition einer Permutation
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\def\sx{0.8}
+\def\sy{1}
+\begin{scope}[xshift=-3cm]
+\foreach \x in {1,...,6}{
+ \node at ({(\x-1)*\sx},\sy) [above] {$\tiny\x$};
+ \fill ({(\x-1)*\sx},\sy) circle[radius=0.05];
+ \fill ({(\x-1)*\sx},0) circle[radius=0.05];
+}
+\draw[->] (0,\sy) to[out=-70,in=110] (\sx,0);
+\draw[<-] (0,0) to[out=70,in=-110] (\sx,\sy);
+\draw[->] ({2*\sx},\sy) -- ({2*\sx},0);
+\draw[->] ({3*\sx},\sy) to[out=-70,in=110] ({4*\sx},0);
+\draw[->] ({4*\sx},\sy) to[out=-70,in=110] ({5*\sx},0);
+\draw[->] ({5*\sx},\sy) to[out=-110,in=70] ({3*\sx},0);
+\end{scope}
+\node at (2.4,{\sy/2}) {$\mathstrut=\mathstrut$};
+\node at (5,{\sy/2}) {$\displaystyle
+\renewcommand{\arraystretch}{1.4}
+\begin{pmatrix}
+1&2&3&4&5&6\\
+2&1&3&5&6&4
+\end{pmatrix}
+$};
+
+\end{tikzpicture}
+\end{document}
+