From ada53a9c225b896c8d7608300427aac475bb7045 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 9 Feb 2021 21:52:16 +0100 Subject: move all iamges to separate files --- buch/chapters/40-eigenwerte/grundlagen.tex | 58 +----------------------------- 1 file changed, 1 insertion(+), 57 deletions(-) (limited to 'buch/chapters/40-eigenwerte/grundlagen.tex') diff --git a/buch/chapters/40-eigenwerte/grundlagen.tex b/buch/chapters/40-eigenwerte/grundlagen.tex index 55c3344..dbc19ce 100644 --- a/buch/chapters/40-eigenwerte/grundlagen.tex +++ b/buch/chapters/40-eigenwerte/grundlagen.tex @@ -346,63 +346,7 @@ $b_{ij}=0$ für $i+k>j$ und $c_{ij}=0$ für $i+l>j$. In der folgenden graphischen Darstellung der Matrizen sind die Bereiche, wo die Matrixelemente verschwinden, weiss. \begin{center} - -\newtcbox{\myboxA}{blank,boxsep=0mm, -clip upper,minipage, -width=31.0mm,height=17.0mm,nobeforeafter, -borderline={0.0pt}{0.0pt}{white}, -} - -\begin{tikzpicture}[>=latex,thick] - -\def\cx{1.8} -\def\cy{1.2} - -\draw[line width=0.3pt] (-3,2.5) -- (6,2.5); - -\begin{scope}[xshift=-4cm] -\node at (1.5,1.53) {$\left(\myboxA{}\right)$}; -\fill[color=red!30] (0.5,3) -- (3,0.5) -- (3,3) -- cycle; -\draw (0,0) rectangle (3,3); -\draw (0,3) -- (3,0); -\node at ({\cx+0.5*0.5},{\cy+0.5*0.5}) [rotate=-45] {$k$}; -\draw[color=blue,line width=1.4pt] (0,2.5) -- (1.0,2.5); -\draw[color=red,line width=1.4pt] (1.0,2.5) -- (3,2.5); -\node at (1,1) {$B$}; -\node at (-0.3,2.5) [left] {$i$}; -\node at (1,2.5) [above right] {$i+k$}; -\end{scope} - -\node at (-0.5,1.5) {$\mathstrut\cdot\mathstrut$}; - -\begin{scope} -\node at (1.5,1.53) {$\left(\myboxA{}\right)$}; -\fill[color=red!30] (1.0,3) -- (3,1.0) -- (3,3) -- cycle; -\draw (0,0) rectangle (3,3); -\draw (0,3) -- (3,0); -\node at ({\cx+1.0*0.5},{\cy+1.0*0.5}) [rotate=-45] {$l$}; -\draw[color=red,line width=1.4pt] (2,3)--(2,2); -\draw[color=blue,line width=1.4pt] (2,2)--(2,0); -\node at (1,1) {$C$}; -\node at (2,3) [above] {$j$}; -\node at (2,2) [above right] {$j-l$}; -\end{scope} - -\node at (3.5,1.5) {$\mathstrut=\mathstrut$}; - -\begin{scope}[xshift=4cm] -\node at (1.5,1.53) {$\left(\myboxA{}\right)$}; -\fill[color=red!30] (1.5,3) -- (3,1.5) -- (3,3) -- cycle; -\draw (0,0) rectangle (3,3); -\draw (0,3) -- (3,0); -\node at ({\cx+1.5*0.5},{\cy+1.5*0.5}) [rotate=-45] {$k+l$}; -\fill[color=red!50!blue] (2,2.5) circle[radius=0.1]; -\draw[line width=0.3pt] (2,3) -- (2,2.5); -\node at (2,3) [above] {$j$}; -\node at (1,1) {$D$}; -\end{scope} - -\end{tikzpicture} +\includegraphics{chapters/40-eigenwerte/images/nilpotent.pdf} \end{center} Bei der Berechnung des Elementes $d_{ij}$ wird die Zeile $i$ von $B$ mit der Spalte $j$ von $C$ multipliziert. -- cgit v1.2.1