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diff --git a/buch/chapters/50-permutationen/images/komposition.tex b/buch/chapters/50-permutationen/images/komposition.tex new file mode 100644 index 0000000..ef3ec65 --- /dev/null +++ b/buch/chapters/50-permutationen/images/komposition.tex @@ -0,0 +1,55 @@ +% +% komposition.tex -- Komposition zweier Permutationen +% +% (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] + +\begin{scope}[xshift=-4.5cm] +\node at (0,0) {$\displaystyle +\sigma_1=\begin{pmatrix} +1&2&3&4&5&6\\ +2&1&3&5&6&4 +\end{pmatrix}$}; +\node at (0,-1) {$\displaystyle +\sigma_2=\begin{pmatrix} +1&2&3&4&5&6\\ +3&4&5&6&1&2 +\end{pmatrix} +$}; +\end{scope} +\begin{scope} +\node at (0,0) {$\displaystyle +\begin{pmatrix} +1&2&3&4&5&6\\ +2&1&3&5&6&4 +\end{pmatrix}$}; +\node at (0,-1) {$\displaystyle +\begin{pmatrix} +2&1&3&5&6&4\\ +4&3&5&1&2&6 +\end{pmatrix} +$}; + +\end{scope} +\begin{scope}[xshift=4.5cm] +\node at (0,-0.5) {$\displaystyle +\sigma_2\sigma_1=\begin{pmatrix} +1&2&3&4&5&6\\ +4&3&5&1&2&6 +\end{pmatrix} +$}; +\end{scope} + +\end{tikzpicture} +\end{document} + |