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authorAndreas Müller <andreas.mueller@ost.ch>2021-09-02 19:50:27 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2021-09-02 19:50:27 +0200
commit1843428795ae9005da7d54cad51450de9b7d298f (patch)
tree113f4fbcb4fc8ce06d636440eb1701fe9acc3a15 /buch/chapters/50-permutationen/images
parentchapter 5 (diff)
downloadSeminarMatrizen-1843428795ae9005da7d54cad51450de9b7d298f.tar.gz
SeminarMatrizen-1843428795ae9005da7d54cad51450de9b7d298f.zip
Chapter 5, permutations
Diffstat (limited to '')
-rw-r--r--buch/chapters/50-permutationen/images/komposition.pdfbin13951 -> 15776 bytes
-rw-r--r--buch/chapters/50-permutationen/images/komposition.tex56
2 files changed, 44 insertions, 12 deletions
diff --git a/buch/chapters/50-permutationen/images/komposition.pdf b/buch/chapters/50-permutationen/images/komposition.pdf
index 9e532bf..3922096 100644
--- a/buch/chapters/50-permutationen/images/komposition.pdf
+++ b/buch/chapters/50-permutationen/images/komposition.pdf
Binary files differ
diff --git a/buch/chapters/50-permutationen/images/komposition.tex b/buch/chapters/50-permutationen/images/komposition.tex
index ef3ec65..2b73227 100644
--- a/buch/chapters/50-permutationen/images/komposition.tex
+++ b/buch/chapters/50-permutationen/images/komposition.tex
@@ -10,39 +10,71 @@
\usepackage{pgfplots}
\usepackage{csvsimple}
\usetikzlibrary{arrows,intersections,math}
+\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\def\skala{1}
\begin{tikzpicture}[>=latex,thick,scale=\skala]
-\begin{scope}[xshift=-4.5cm]
+\begin{scope}[xshift=-4.0cm]
+
+\def\s{0.527}
+\def\o{0.133}
+
+\def\verbindung#1{
+\fill[color=red!20] ({\o+(#1*\s)},-1.0) rectangle ({\o+(#1*\s)+0.3},0.0);
+}
+
+\verbindung{1}
+\verbindung{2}
+\verbindung{3}
+\verbindung{4}
+\verbindung{5}
+\verbindung{6}
+
+
\node at (0,0) {$\displaystyle
\sigma_1=\begin{pmatrix}
1&2&3&4&5&6\\
2&1&3&5&6&4
+\end{pmatrix}
+%$};
+=\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}
$};
-
\end{scope}
-\begin{scope}[xshift=4.5cm]
+
+%\begin{scope}
+%\node at (0,0) {$\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}
+%$};
+%\end{scope}
+
+\draw[decorate,decoration={brace,amplitude=4pt}]
+(0,0.4) -- (0,-1.4);
+
+\begin{scope}[xshift=3.1cm]
\node at (0,-0.5) {$\displaystyle
+\Rightarrow\quad
\sigma_2\sigma_1=\begin{pmatrix}
1&2&3&4&5&6\\
4&3&5&1&2&6