Merge pull request #52 from Nunigan/master

Multiplikation #1

1 files changed, 140 insertions, 0 deletions

diff --git a/buch/papers/multiplikation/images/strassen.tex b/buch/papers/multiplikation/images/strassen.tex
new file mode 100644
index 0000000..797772b
--- /dev/null
+++ b/buch/papers/multiplikation/images/strassen.tex
@@ -0,0 +1,140 @@
+\documentclass[border=10pt]{standalone}
+\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{times}
+\usepackage{geometry}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{mathrsfs}
+\usepackage{amsfonts}
+\usepackage{amsthm}
+\usepackage{lipsum}
+\usepackage{amscd}
+\usepackage{graphicx}
+\usepackage{fancyhdr}
+\usepackage{textcomp}
+\usepackage{pgfplots}
+\usepackage{txfonts}
+\usepackage[all]{xy}
+\usepackage{paralist}
+\usepackage[colorlinks=true]{hyperref}
+\usepackage{array}
+\usepackage{tikz}
+\usepackage{slashed}
+\usepackage{pdfpages}
+\usepackage{cite}
+\usepackage{url}
+\usepackage{amsmath,amsfonts,amssymb}
+\usepackage{tikz}
+\usetikzlibrary{arrows,matrix,positioning}
+\usetikzlibrary{overlay-beamer-styles}
+\usetikzlibrary{matrix.skeleton}
+\usetikzlibrary{automata,positioning}
+\usetikzlibrary{decorations.text}
+\usepackage{listings}
+\usepackage{multirow}
+\usepackage{color}
+
+\begin{document}
+
+\begin{tikzpicture}[ampersand replacement=\&]
+
+\foreach \i in {1,...,4}
+{
+	\small{
+		\matrix (X\i)[matrix of math nodes,nodes in empty cells,
+		nodes = {draw, minimum size=10mm,
+			anchor=center,
+			inner sep=0pt, outer sep=0pt},
+		column sep=-\pgflinewidth,
+		row sep=-\pgflinewidth,
+		] at (0,-\i*5)
+		{
+			A_{11}B_{11} \& A_{12}B_{11} \& A_{21}B_{11} \& A_{22}B_{11} \\
+			A_{11}B_{21} \& A_{12}B_{21} \& A_{21}B_{21} \& A_{22}B_{21} \\
+			A_{11}B_{11} \& A_{12}B_{12} \& A_{21}B_{12} \& A_{22}B_{12} \\
+			A_{11}B_{22} \& A_{12}B_{22} \& A_{21}B_{22} \& A_{22}B_{22} \\
+		};}
+	
+	\foreach \j in {1,...,7}
+	{
+		\matrix(M\i\j)[matrix of math nodes,nodes in empty cells,
+		nodes = {draw, minimum size=10mm,
+			anchor=center,
+			inner sep=0pt, outer sep=0pt},
+		column sep=-\pgflinewidth,
+		row sep=-\pgflinewidth,
+		] at (\j*5,-\i*5)
+		{
+			\& \& \& \\
+			\& \& \& \\
+			\& \& \& \\
+			\& \& \& \\
+		};
+	}
+}
+
+\huge{
+	\node at (-3,-20)  {$C_{22}=$};
+	\node at (-3,-15) {$C_{21}=$} ;
+	\node at (-3,-10) {$C_{12}=$} ;
+	\node at (-3,-5) {$C_{11}=$} ;
+	
+	\node at (5,-2)  {I};
+	\node at (10,-2)  {II};
+	\node at (15,-2)  {III};
+	\node at (20,-2)  {IV};
+	\node at (25,-2)  {V};
+	\node at (30,-2)  {VI};
+	\node at (35,-2)  {VII};
+}
+
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+\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-1-1)] {};
+\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-3-3)] {};
+\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-3-1)] {};
+\end{tikzpicture}
+
+\end{document}