Chapter 5, permutations

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
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