80 lines
2.2 KiB
TeX
80 lines
2.2 KiB
TeX
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\documentclass[12pt,a4paper,german]{article}
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\usepackage{url}
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%\usepackage{graphics}
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\usepackage{times}
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\usepackage[T1]{fontenc}
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\usepackage{ngerman}
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\usepackage{float}
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\usepackage{diagbox}
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\usepackage[utf8]{inputenc}
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\usepackage{geometry}
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\usepackage{amsfonts}
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\usepackage{amsmath}
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\usepackage{cancel}
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\usepackage{wasysym}
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\usepackage{csquotes}
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\usepackage{graphicx}
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\usepackage{epsfig}
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\usepackage{paralist}
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\usepackage{tikz}
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\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm}
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%%%%%%%%%% Fill out the the definitions %%%%%%%%%
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\def \name {Valentin Brandl} %
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\def \matrikel {108018274494} %
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\def \pname {Marvin Herrmann} %
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\def \pmatrikel {108018265436} %
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\def \gruppe {2 (Mi 10-12 Andre)}
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\def \qname {Pascal Brackmann}
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\def \qmatrikel {108017113834} %
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\def \uebung {9} %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% DO NOT MODIFY THIS HEADER
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\newcommand{\hwsol}{
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\vspace*{-2cm}
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\noindent \matrikel \quad \name \hfill \"Ubungsgruppe: \gruppe \\
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\noindent \pmatrikel \quad \pname \\
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\noindent \qmatrikel \quad \qname \\
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\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
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}
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\begin{document}
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%Import header
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\hwsol
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\section*{Aufgabe 9.3}
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\begin{enumerate}[1.]
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\item
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\begin{tabular}{|c|c|c|}
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\hline
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$eea(a,b)$ & $(d',x',y')$ & $(d,x,y)$ \\\hline\hline
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$eea(84,15)$ & $(3,-1,2)$ & $(3,2,-11)$ \\\hline
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$eea(15,9)$ & $(3,1,-1)$ & $(3,-1,2)$ \\\hline
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$eea(9,6)$ & $(3,0,1)$ & $(3,1,-1)$ \\\hline
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$eea(6,3)$ & $(3,1,0)$ & $(3,0,1)$ \\\hline
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$eea(3,0)$ & & $(3,1,0)$ \\\hline
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\end{tabular}
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$ggt(84,15) = 84 * 2 + 15 * (-11) = 3$
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\item
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\begin{tabular}{|c|c|c|}
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\hline
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$eea(a,b)$ & $(d',x',y')$ & $(d,x,y)$ \\\hline\hline
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$eea(93,32)$ & $(1,10,-11)$ & $(1,-11,32)$ \\\hline
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$eea(32,29)$ & $(1,-1,10)$ & $(1,10,-11)$ \\\hline
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$eea(29,3)$ & $(1,1,-1)$ & $(1,-1,10)$ \\\hline
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$eea(3,2)$ & $(1,0,1)$ & $(1,1,-1)$ \\\hline
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$eea(2,1)$ & $(1,1,0)$ & $(1,0,1)$ \\\hline
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$eea(1,0)$ & & $(1,1,0)$ \\\hline
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\end{tabular}
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$ggt(93,32) = 93 * (-11) + 32 * 32 = 1$
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\end{enumerate}
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\end{document}
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