mirror of
https://github.com/2martens/uni.git
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85 lines
2.3 KiB
TeX
85 lines
2.3 KiB
TeX
\documentclass[10pt,a4paper,oneside,ngerman,numbers=noenddot]{scrartcl}
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\usepackage[T1]{fontenc}
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\usepackage[utf8x]{inputenc}
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\usepackage[ngerman]{babel}
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\usepackage{amsmath}
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\usepackage{amsfonts}
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\usepackage{amssymb}
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\usepackage{paralist}
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\usepackage{gauss}
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\usepackage{pgfplots}
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\usepackage[locale=DE,exponent-product=\cdot,detect-all]{siunitx}
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\usepackage{tikz}
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\usetikzlibrary{automata,matrix,fadings,calc,positioning,decorations.pathreplacing,arrows,decorations.markings}
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\usepackage{polynom}
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\usepackage{multirow}
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\usepackage[german]{fancyref}
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\polyset{style=C, div=:,vars=x}
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\pgfplotsset{compat=1.8}
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\pagenumbering{arabic}
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% ensures that paragraphs are separated by empty lines
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\parskip 12pt plus 1pt minus 1pt
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\parindent 0pt
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% define how the sections are rendered
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\def\thesection{6.\arabic{section})}
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\def\thesubsection{\arabic{subsection}.}
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\def\thesubsubsection{(\alph{subsubsection})}
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% some matrix magic
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\makeatletter
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\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
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\hskip -\arraycolsep
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\let\@ifnextchar\new@ifnextchar
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\array{#1}}
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\makeatother
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\begin{document}
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\author{Benjamin Kuffel, Jim Martens\\Gruppe 6}
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\title{Hausaufgaben zum 24. November}
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\maketitle
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\setcounter{section}{2}
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\section{} %6.3
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\subsection{}
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\begin{alignat*}{2}
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VC(\phi_{01}) &=& (1,0,0,0) \\
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VC(\phi_{11}) &=& (1,1,0,0) \\
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VC(\phi_{21}) &=& (0,0,1,0) \\
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VC(\phi_{31}) &=& (0,0,0,1) \\
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VC(\phi_{02}) &=& (2,0,0,0) \\
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VC(\phi_{12}) &=& (1,2,0,1) \\
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VC(\phi_{22}) &=& (2,0,2,0) \\
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VC(\phi_{32}) &=& (0,0,1,2) \\
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VC(\phi_{33}) &=& (0,0,1,3) \\
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VC(\phi_{03}) &=& (3,0,1,3) \\
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VC(\phi_{13}) &=& (1,3,0,1) \\
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VC(\phi_{34}) &=& (0,0,1,4) \\
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VC(\phi_{23}) &=& (2,0,3,3) \\
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VC(\phi_{04}) &=& (4,0,1,3) \\
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VC(\phi_{24}) &=& (2,3,4,3) \\
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VC(\phi_{35}) &=& (4,0,1,4) \\
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VC(\phi_{25}) &=& (2,3,5,3) \\
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VC(\phi_{05}) &=& (5,3,5,3) \\
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VC(\phi_{06}) &=& (6,3,5,3) \\
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VC(\phi_{14}) &=& (6,4,5,3) \\
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VC(\phi_{36}) &=& (4,0, 1,5) \\
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VC(\phi_{26}) &=& (4,3,6,5)
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\end{alignat*}
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\subsection{}
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\begin{alignat*}{1}
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p_{0}&: \phi_{03}\\
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p_{1}&: \phi_{14}\\
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p_{2}&: \phi_{21}\\
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p_{3}&: \phi_{33}
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\end{alignat*}
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\subsection{}
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\begin{alignat*}{1}
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p_{0}&: \phi_{02}\\
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p_{1}&: \phi_{11}\\
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p_{2}&: \phi_{21}\\
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p_{3}&: \phi_{31}
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\end{alignat*}
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\section{} %6.4
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\end{document}
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