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https://github.com/vale981/TUD_MATH_BA
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+ LAAG 1 Hauptdatei
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2 changed files with 725 additions and 1 deletions
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@ -163,5 +163,4 @@ TSWLatexianTemp*
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*.thm
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*.gz
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*.toc
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Vorlesung LAAG.tex
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.DS_Store
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725
1. Semester/LAAG_ueberarbeitet/Vorlesung LAAG.tex
Normal file
725
1. Semester/LAAG_ueberarbeitet/Vorlesung LAAG.tex
Normal file
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@ -0,0 +1,725 @@
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\RequirePackage{ifluatex,ifpdf}
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\documentclass[ngerman,a4paper]{report}
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\usepackage[left=2.1cm,right=3.1cm,bottom=3cm,footskip=0.75cm,headsep=0.5cm]{geometry}
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\usepackage[ngerman]{babel}
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\ifpdf
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\usepackage[utf8]{inputenc} %not recommended with lualatex
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\usepackage[T1]{fontenc}
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\fi
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\usepackage{zref-base}
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\usepackage{etoolbox}
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\usepackage{xparse}%better macros
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\usepackage{chngcntr}
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\usepackage{calc}
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\usepackage{scalerel,stackengine}
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\usepackage{tocloft}
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\ifluatex
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\usepackage{fontspec}
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%awesome package for debugging spacing issues
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%\usepackage{lua-visual-debug}
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%\usepackage{luacode}
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\fi
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\usepackage[texindy]{imakeidx}
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\indexsetup{
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level=\chapter*
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}
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\makeindex[intoc]
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%\usepackage[xindy,acronym]{glossaries}
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%\makeglossaries
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\usepackage[title,titletoc]{appendix}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{amsfonts}
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\usepackage{mathtools}
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\usepackage{latexsym}
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\usepackage{marvosym} %lighning
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\usepackage{bbm} %unitary matrix 1
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\usepackage{cancel}
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\usepackage{xfrac}%sfrac -> fractions e.g. 3/4
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\usepackage[table]{xcolor}
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\usepackage{graphicx}
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\usepackage{pgfplots}
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\pgfplotsset{compat=1.10}
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\usepgfplotslibrary{fillbetween}
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\usepackage{pgf}
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\usepackage{tikz}
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\usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing}
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\usetikzlibrary{matrix}
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\usepackage{color}
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\usepackage{wasysym}
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\usepackage{tcolorbox}
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\usepackage{enumerate}
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\usepackage{enumitem} %customize label
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\usepackage{stmaryrd} % Lightning symbol
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\usepackage{tabularx}
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\usepackage{multirow}
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\usepackage{booktabs}
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\usepackage{ulem} %better underlines
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\usepackage{parskip}%split paragraphs by vspace instead of intendations
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\usepackage{fancyhdr}
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\usepackage{titlesec}%customize titles
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\usepackage{marginnote}
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\usepackage[amsmath,amsthm,thmmarks,hyperref]{ntheorem}%customize theorem-environments more effectively
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\usepackage[ntheorem,framemethod=TikZ]{mdframed}
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\usepackage[unicode,bookmarks=true]{hyperref}
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\hypersetup{
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colorlinks,
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citecolor=green,
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filecolor=green,
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linkcolor=blue,
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urlcolor=green
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}
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\usepackage{cleveref}
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\usepackage{bookmark}
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\newcommand{\coloredRule}[3][black]{\textcolor{#1}{\rule{#2}{#3}}}
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\newlength{\blacktrianglewidth}
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\settowidth{\blacktrianglewidth}{$\blacktriangleright$}
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\definecolor{lightgrey}{gray}{0.91}
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\definecolor{lightred}{rgb}{1,0.6,0.6}
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\definecolor{darkgrey}{gray}{0.6}
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\definecolor{darkgreen}{rgb}{0,0.6,0}
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%numbered theorems
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\theoremstyle{break}
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\theorembodyfont{}
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\mdfdefinestyle{boxedtheorem}{%
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outerlinewidth=3pt,%
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skipabove=5pt,%
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skipbelow=10pt,%
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frametitlefont=\normalfont\bfseries\color{black},%
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nobreak,%enforce no pagebrakes in the whole frame
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}
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\newmdtheoremenv[%
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style=boxedtheorem,%
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innertopmargin=\topskip,%
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innerbottommargin=\topskip,%
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linecolor=darkgrey,%
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backgroundcolor=lightgrey,%
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]{theorem}{Theorem}[section]
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\newmdtheoremenv[%
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style=boxedtheorem,%
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linecolor=darkgrey,%
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topline=false,%
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rightline=false,%
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bottomline=false,%
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innertopmargin=\topskip,%
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innerbottommargin=\topskip,%
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backgroundcolor=lightgrey,%
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]{proposition}[theorem]{Satz}
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\newmdtheoremenv[%
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style=boxedtheorem,%
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linecolor=darkgrey,%
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topline=false,%
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rightline=false,%
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bottomline=false,%
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backgroundcolor=lightgrey,%
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innertopmargin=\topskip,%
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innerbottommargin=\topskip,%
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]{lemma}[theorem]{Lemma}
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\newmdtheoremenv[%
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style=boxedtheorem,%
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linecolor=red,%
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topline=false,%
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rightline=false,%
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bottomline=false,%
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innertopmargin=0,%
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innerbottommargin=-3pt,%
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]{definition}[theorem]{Definition}
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\newmdtheoremenv[%
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outerlinewidth=3pt,%
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linecolor=black,%
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topline=false,%
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rightline=false,%
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bottomline=false,%
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innertopmargin=0pt,%
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innerbottommargin=-0pt,%
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frametitlefont=\normalfont\bfseries\color{black},%
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skipabove=5pt,%
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skipbelow=10pt,%
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]{conclusion}[theorem]{Folgerung}
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\newmdtheoremenv[%
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hidealllines=true,%
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frametitlefont=\normalfont\bfseries\color{black},%
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innerleftmargin=0pt,%
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skipabove=5pt,%
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innerleftmargin=10pt,%
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]{remark}[theorem]{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
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\newmdtheoremenv[%
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hidealllines=true,%
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frametitlefont=\normalfont\bfseries\color{black},%
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innerleftmargin=10pt,%
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]{example}[theorem]{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
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%unnumbered theorems
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\theoremstyle{nonumberbreak}
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\theoremindent0cm
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\newmdtheoremenv[%
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style=boxedtheorem,%
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linecolor=red,%
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topline=false,%
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rightline=false,%
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bottomline=false,%
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innertopmargin=1pt,%
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innerbottommargin=1pt,%
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]{*definition}{Definition}
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\newmdtheoremenv[%
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hidealllines=true,%
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frametitlefont=\normalfont\bfseries\color{black},%
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skipabove=5pt,%
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innerleftmargin=10pt,%
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]{*remark}{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
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\newmdtheoremenv[%
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hidealllines=true,%
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innerleftmargin=10pt,%
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]{*example}{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
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\newtheorem{overview}[theorem]{Überblick}
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\newmdtheoremenv[%
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style=boxedtheorem,%
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topline=false,%
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rightline=false,%
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leftline=false,
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bottomline=false,%
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innertopmargin=\topskip,%
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innerbottommargin=\topskip,%
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backgroundcolor=lightgrey,%
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]{*anmerkung}{Anmerkung}
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%Hinweis-Theoremstyle and environment
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%To get rid of the parentheses, a new theorem style is neccessary (definition of nonumberbreak from ntheorem.sty)
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%to achieve the underlining, this needed to put in the theoremstyle definition
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\theoremheaderfont{\mdseries}
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\theoremseparator{:}
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\theorempostskip{0pt}
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\makeatletter
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\newtheoremstyle{noparentheses}%
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{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
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\underline{##1}\theorem@separator}\hbox{\strut}}}]}%
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{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
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\underline{##1\ ##3\theorem@separator}}\hbox{\strut}}}]}
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\newtheoremstyle{underlinedPlain}%
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{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\theorem@separator}]}%
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{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\ \theorem@headerfont(##3)\theorem@separator}]}
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\newtheoremstyle{underlinedEnvironment}{}%
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{\item[\hskip\labelsep \uline{##1\theorem@headerfont ##3\theorem@separator}]}
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\newtheoremstyle{boldEnvironment}{}%
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{\item[\hskip\labelsep \textbf{##1\theorem@headerfont ##3\theorem@separator}]}
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\newtheoremstyle{proofstyle}%
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{\item[\hskip\labelsep {\theorem@headerfont ##1}\theorem@separator]}%
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{\item[\hskip\labelsep {\theorem@headerfont ##1}\ (##3)\theorem@separator]}
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\makeatother
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\theoremstyle{noparentheses}
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\newmdtheoremenv[%
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hidealllines=true,%
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innerleftmargin=1em,%
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innerbottommargin=0pt,%
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innerrightmargin=0,%
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skipbelow=0pt,%
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]{interpretation}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Interpretation}
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\theoremstyle{underlinedPlain}
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\newmdtheoremenv[%
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hidealllines=true,%
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innerleftmargin=1em,%
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innerrightmargin=0,%
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skipbelow=0pt,%
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]{hint}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Hinweis}
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\theoremstyle{underlinedEnvironment}
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\newmdtheoremenv[%
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hidealllines=true,%
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innerleftmargin=1em,%
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innerrightmargin=0,%
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skipbelow=0pt,%
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]{underlinedenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
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\theoremheaderfont{\bfseries}
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\theoremstyle{boldEnvironment}
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\newmdtheoremenv[%
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hidealllines=true,%
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innerleftmargin=1em,%
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innerrightmargin=0,%
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skipbelow=0pt,%
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]{boldenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
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\theoremstyle{proofstyle}
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\theoremheaderfont{\normalfont\normalsize\itshape}
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\theorembodyfont{\normalfont\small}
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\theoremseparator{.}
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\theorempreskip{5pt}
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\theorempostskip{5pt}
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\theoremsymbol{$\square$}
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\renewtheorem{proof}{Beweis}
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%for \cref: printed environment names
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\crefname{theorem}{Theorem}{Theoreme}
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\crefname{proposition}{Satz}{Sätze}
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\crefname{lemma}{Lemma}{Lemmata}
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\crefname{conclusion}{Folgerung}{Folgerungen}
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\crefname{definition}{Definition}{Definitionen}
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\crefname{remark}{Bemerkung}{Bemerkungen}
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\crefname{example}{Beispiel}{Beispiele}
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\crefname{*definition}{Definition}{Definitionen}
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\crefname{*remark}{Bemerkung}{Bemerkungen}
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\crefname{*example}{Beispiel}{Beispiele}
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\makeatletter
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%output a number in upper roman letters
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\newcommand*{\rom}[1]{\expandafter\@slowromancap\romannumeral #1@}
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%declare a new label; store current chapter number
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\newcommand*{\proplbl}[1]{%
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\@bsphack
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\begingroup
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\label{#1}%
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\zref@setcurrent{default}{\arabic{chapter}}%
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% \zref@wrapper@immediate{%
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\zref@labelbyprops{#1@chapter}{default}
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% }
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\endgroup
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\@esphack
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}
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%refer to a label set by proplbl.
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%If the label is not defined (yet), question marks are output at the calling position. If the label is defined, the chapter number is prepended to the link output by \cref if the current chapter number and the one set when calling \proplbl differ.
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%the macro handels both text and math mode. mbox is needed due to a feature concerning ulem / cleveref
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\newcommand*{\propref}[1]{%
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\ifcsdef{r@#1}%in first compilation the label may not be defined yet
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{%
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\zref@refused{#1@chapter}%
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\ifnumcomp{\value{chapter}}{=}{\zref@extractdefault{#1@chapter}{default}{0}}%
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{%same chapter
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\ifmmode
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\cref{#1}%
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\else
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\mbox{\cref{#1}}%
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\fi
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}%
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{%otherwise
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\def\propositionref@current@type{}%
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\cref@gettype{#1}{\propositionref@current@type}%get the environment's name
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%example for following line:
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%\crefformat{truetheorem}{\cref@truetheorem@name~##2\rom{\zref@extractdefault{#1}{#1chapter}{1}}.##1##3}
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%this changes the format used by \cref to <environtment name> <chapter-number>.<section-number>.<theorem number>
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\crefformat{\propositionref@current@type}{%
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\csname cref@\propositionref@current@type @name\endcsname ~##2\rom{\zref@extractdefault{#1@chapter}{default}{1}}.##1##3%
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}%
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\ifmmode
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\cref{#1}%
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\else
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\mbox{\cref{#1}}%
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\fi
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\crefformat{\propositionref@current@type}{%
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\csname cref@\propositionref@current@type @name\endcsname~##2##1##3%
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}%
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}%
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}%
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{??}%similar to \ref\cref: question marks in case of undefined labels
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}
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\makeatother
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%declare new term to the index, output if no star is given to call position
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\NewDocumentCommand{\begriff}{s O{} m O{}}{%
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\IfBooleanTF{#1}%
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{\index{#2#3#4}}%
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{%
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\uline{#3}%
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\index{#2#3#4}%
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}%
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}
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%append a new mathsymbol to the index, output if no star is given at the call position
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\NewDocumentCommand{\mathsymbol}{s O{} m m O{}}{%
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\IfBooleanTF{#1}%
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{\index[symbols]{#2#3@\detokenize{#4}#5}}%
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{#4\index[symbols]{#2#3@\detokenize{#4}#5}}%
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}
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%remove skip before / after amsmath-environments: default to 0pt. 1star: just before the environment, 2stars: just after the environment, no star: both
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\NewDocumentCommand{\zeroAmsmathAlignVSpaces}{s s O{0 pt} O{0 pt}}{%
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\IfBooleanTF{#1}%
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{%
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\IfBooleanTF{#2}%
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{\setlength{\belowdisplayskip}{#4}}%
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{\setlength{\abovedisplayskip}{#3}}%
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}%
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{%
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\setlength{\abovedisplayskip}{#3}%
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\setlength{\belowdisplayskip}{#4}%
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}%
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}
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%general transpose-makro
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\NewDocumentCommand{\transpose}{m}{\ensuremath{#1^\mathsf{T}}}
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%unused
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\NewDocumentCommand{\itemEq}{s m}{%
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\begingroup%
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\setlength{\abovedisplayskip}{\dimexpr -\parskip + 1pt\relax}%
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\setlength{\belowdisplayskip}{0pt}%
|
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\IfBooleanTF{#1}%
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{\parbox[c]{\linewidth}{\begin{flalign*}#2&&\end{flalign*}}}%}
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||||
{\parbox[c]{\linewidth}{\begin{flalign}#2&&\end{flalign}}}%}
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\endgroup%
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}
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%new macro for "equals" ^=
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\newcommand\equalhat{\mathrel{\stackon[1.5pt]{=}{\stretchto{%
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\scalerel*[\widthof{=}]{\wedge}{\rule{1ex}{3ex}}}{0.5ex}}}}
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%macro that defines the spacing between bracket and content of a matrix
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\NewDocumentCommand{\matrixBracketSpacing}{}{\mspace{4.0mu plus 3.0mu minus 1.0mu}}
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%macro width customized spacing between bracktes / content, lineheight and columnwidth
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\newenvironment{henrysmatrix}{%
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\renewcommand*{\arraystretch}{1.2}
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\setlength\arraycolsep{5pt}
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\left(\matrixBracketSpacing
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\begin{matrix}
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}{%
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||||
\end{matrix}
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||||
\matrixBracketSpacing\right)
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}
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||||
|
||||
\makeatletter
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||||
%redefine \overline to customize the space between text / line (currently 0.4mm + height of the content)
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||||
%ATTENTION: when changing the 0.4mm unfortunately, in \kringel the 0.4mm need to be changed accordingly
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\let\@old@overline\overline
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\renewcommand*{\overline}[1]{%
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\@old@overline{\raisebox{0pt}[\dimexpr\height+0.4mm\relax]{$#1$}}%
|
||||
}
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||||
|
||||
%encircle some content. Arguments: border color (optional), background color (mandatory), content (mandatory)
|
||||
%two lengths to get width / height of content (important for width / height of the circle)
|
||||
\newlength{\@kringel@contentheight}
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||||
\newlength{\@kringel@contentwidth}
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||||
\newlength{\@kringel@depth}
|
||||
\NewDocumentCommand{\kringel}{O{blue} m m}{%
|
||||
%as the macro should work for both text and math mode, add some macros for later use to distinguish
|
||||
%in text mode, nothing happens (except discarding the 1st argument for the raisebox, that is permantently given), in math mode, the content needs to be enbraced by \ensuremath, the tcolorbox-environment by a raisebox
|
||||
%ATTENTION: when changing the height-factor of tcolorbox, the depth correction needs to be changed as well
|
||||
\let\@kringel@inner\relax
|
||||
\let\@kringel@outer\@secondoftwo
|
||||
\ifmmode
|
||||
\let\@kringel@inner\ensuremath
|
||||
\let\@kringel@outer\raisebox
|
||||
\fi
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||||
%set the width and height
|
||||
\settoheight{\@kringel@contentheight}{\hbox{\@kringel@inner{#3}}}
|
||||
\settowidth{\@kringel@contentwidth}{\@kringel@inner{#3}}
|
||||
\settodepth{\@kringel@depth}{\@kringel@inner{#3}}
|
||||
%change the depth correction dependend whethere there is a depth (e.g. y) or not (e.g. a)
|
||||
\ifdim \@kringel@depth > 0pt%
|
||||
\setlength{\@kringel@depth}{\dimexpr\@kringel@depth+0.5mm\relax}
|
||||
\else
|
||||
\settodepth{\@kringel@depth}{y}
|
||||
\setlength{\@kringel@depth}{\dimexpr\@kringel@depth+0.3mm\relax}
|
||||
\fi
|
||||
%output the colorbox width given parameter: frame color, background color, computed width and height, and escaped content depending on math / text mode
|
||||
\@kringel@outer{\dimexpr-\@kringel@contentheight/2-\@kringel@depth\relax}{\begin{tcolorbox}[colframe=#1,halign=center,valign=center,width=\dimexpr1.5\@kringel@contentwidth+1mm\relax,height=2.5\@kringel@contentheight,left=0pt,right=0pt,bottom=0pt,top=0pt,boxrule=0.8pt,colback=#2,boxsep=0pt,bean arc]
|
||||
\@kringel@inner{#3}
|
||||
\end{tcolorbox}}
|
||||
}
|
||||
|
||||
%switch numbering of equations (amsmath-environments)
|
||||
\newcommand{\leqnos}{\tagsleft@true\let\veqno\@@leqno}
|
||||
\newcommand{\reqnos}{\tagsleft@false\let\veqno\@@eqno}
|
||||
\reqnos
|
||||
|
||||
\pdfstringdefDisableCommands{%
|
||||
\def\\{}%
|
||||
\def\texttt#1{<#1>}%
|
||||
\def\mathbb#1{<#1>}%
|
||||
}
|
||||
\makeatother
|
||||
|
||||
%General newcommands!
|
||||
\newcommand{\comp}{\mathbb{C}} % complex set C
|
||||
\newcommand{\real}{\mathbb{R}} % real set R
|
||||
\newcommand{\whole}{\mathbb{Z}} % whole number Symbol
|
||||
\newcommand{\natur}{\mathbb{N}} % natural number Symbol
|
||||
\newcommand{\ratio}{\mathbb{Q}} % rational number symbol
|
||||
\newcommand{\field}{\mathbb{K}} % general field for the others above!
|
||||
\newcommand{\diff}{\mathrm{d}} % differential d
|
||||
\newcommand{\s}{\,\,} % space after the function in the intergral
|
||||
\newcommand{\cont}{\mathcal{C}} % Contour C
|
||||
\newcommand{\fuk}{f(z) \s\diff z} % f(z) dz
|
||||
\newcommand{\diffz}{\s\diff z}
|
||||
\newcommand{\subint}{\int\limits} % lower boundaries for the integral
|
||||
\newcommand{\poly}{\mathcal{P}} % special P - polygon
|
||||
\newcommand{\defi}{\mathcal{D}} % D for the domain of a function
|
||||
\newcommand{\cover}{\mathcal{U}} % cover for a set
|
||||
\newcommand{\setsys}{\mathcal{M}} % set system M
|
||||
\newcommand{\setnys}{\mathcal{N}} % set system N
|
||||
\newcommand{\zetafunk}{f(\zeta)\s\diff \zeta} %f(zeta) d zeta
|
||||
\newcommand{\ztfunk}{f(\zeta)} % f(zeta)
|
||||
\newcommand{\bocirc}{S_r(z)}
|
||||
\newcommand{\prop}{\,|\,}
|
||||
\newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}} %tombstone
|
||||
\newcommand{\emptybra}{\{\varnothing\}} % empty set with set-bracket
|
||||
\newcommand{\realpos}{\real_{>0}}
|
||||
\newcommand{\realposr}{\real_{\geq0}}
|
||||
\newcommand{\naturpos}{\natur_{>0}}
|
||||
\newcommand{\Imag}{\operatorname{Im}} % Imaginary symbol
|
||||
\newcommand{\Realz}{\operatorname{Re}} % Real symbol
|
||||
\newcommand{\norm}{\Vert \cdot \Vert}
|
||||
\newcommand{\metric}{\vert \cdot \vert}
|
||||
\newcommand{\foralln}{\forall n} %all n
|
||||
\newcommand{\forallnset}{\forall n \in \natur} %all n € |N
|
||||
\newcommand{\forallnz}{\forall n \geq _0} % all n >= n_0
|
||||
\newcommand{\conjz}{\overline{z}} % conjugated z
|
||||
\newcommand{\tildz}{\tilde{z}} % different z
|
||||
\newcommand{\lproofar}{"`$ \Leftarrow $"'} % "`<="'
|
||||
\newcommand{\rproofar}{"`$ \Rightarrow $"'} % "`=>"'
|
||||
\newcommand{\beha}{\Rightarrow \text{ Behauptung}}
|
||||
\newcommand{\powerset}{\mathcal{P}}
|
||||
\newcommand{\person}[1]{\textsc{#1}}
|
||||
\newcommand{\highlight}[1]{\emph{#1}}
|
||||
\newcommand{\realz}{\mathfrak{Re}}
|
||||
\newcommand{\imagz}{\mathfrak{Im}}
|
||||
\renewcommand{\epsilon}{\varepsilon}
|
||||
\renewcommand{\phi}{\varphi}
|
||||
\newcommand{\lebesque}{\person{Lebesgue}}
|
||||
\renewcommand{\Re}{\mathfrak{Re}}
|
||||
\renewcommand{\Im}{\mathfrak{Im}}
|
||||
\renewcommand*{\arraystretch}{1.4}
|
||||
\newcommand{\skalar}[2]{\left\langle #1,#2\right\rangle}
|
||||
\newcommand{\qraum}[2]{\textsuperscript{#1}/\textsubscript{#2}}
|
||||
|
||||
% Math Operators
|
||||
\DeclareMathOperator{\inn}{int} % Set of inner points
|
||||
\DeclareMathOperator{\ext}{ext} % Set of outer points
|
||||
\DeclareMathOperator{\cl}{cl} % Closure
|
||||
\DeclareMathOperator{\grad}{grad}
|
||||
\DeclareMathOperator{\D}{d}
|
||||
\DeclareMathOperator{\id}{id}
|
||||
\DeclareMathOperator{\graph}{graph}
|
||||
\DeclareMathOperator{\Int}{int}
|
||||
\DeclareMathOperator{\Ext}{ext}
|
||||
\DeclareMathOperator{\diam}{diam}
|
||||
|
||||
\DeclareMathOperator{\End}{End}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Hom}{Hom}
|
||||
\DeclareMathOperator{\Eig}{Eig}
|
||||
\DeclareMathOperator{\Mat}{Mat}
|
||||
\DeclareMathOperator{\Ker}{Ker}
|
||||
\DeclareMathOperator{\diag}{diag}
|
||||
\DeclareMathOperator{\GL}{GL}
|
||||
\DeclareMathOperator{\tr}{tr}
|
||||
\DeclareMathOperator{\sgn}{sgn}
|
||||
\DeclareMathOperator{\Span}{span}
|
||||
\DeclareMathOperator{\Image}{Im}
|
||||
\DeclareMathOperator{\Hau}{Hau}
|
||||
\DeclareMathOperator{\pr}{pr}
|
||||
\DeclareMathOperator{\Orth}{O}
|
||||
\DeclareMathOperator{\SO}{SO}
|
||||
\DeclareMathOperator{\Uni}{U}
|
||||
\DeclareMathOperator{\SU}{SU}
|
||||
|
||||
%change headings:
|
||||
\titlelabel{\thetitle.\quad}%. behind section/sub... (3. instead of 3)
|
||||
\counterwithout{section}{chapter}
|
||||
\renewcommand{\thechapter}{\Roman{chapter}}
|
||||
\renewcommand{\thepart}{\Alph{part}}
|
||||
%italic chapters (due to titlesec package some more stuff)
|
||||
%\titleformat{command}[shape]{format}{label}{sep}{before-code}[after-code]
|
||||
\titleformat{\chapter}[display]{\bfseries}{\Large\chaptername\;\thechapter}{-5pt}{\huge\bfseries\itshape}
|
||||
\titlespacing{\chapter}{0pt}{0pt}{10pt}
|
||||
\titleformat{\section}[hang]{\bfseries\Large}{\thesection.}{8pt}{\Large\bfseries}
|
||||
%\titlespacing{command}{left}{before-sep}{after-sep}
|
||||
\titlespacing{\subsection}{0pt}{0pt}{5pt}
|
||||
|
||||
%change appearence of heading of toc: 0 space above, bold, italic huge toc-heading
|
||||
\renewcommand{\cftbeforetoctitleskip}{0pt}
|
||||
\renewcommand{\cfttoctitlefont}{\itshape\Huge\bfseries}
|
||||
%change indentations due to width of capital roman numbers
|
||||
\renewcommand{\cftchapnumwidth}{2.5em}
|
||||
\renewcommand{\cftsecindent}{2.5em}
|
||||
%\renewcommand{\cftsecnumwidth}{3.3em}
|
||||
\renewcommand{\cftsubsecindent}{4.8em}
|
||||
%\renewcommand{\cftsubsecnumwidth}{4.2em}
|
||||
|
||||
%change header:
|
||||
\renewcommand{\headrulewidth}{0.75pt}
|
||||
\renewcommand{\footrulewidth}{0.3pt}
|
||||
\lhead{\rightmark}%left: section-number. section-title
|
||||
\rhead{\leftmark}%right: chapter chapternumber: chapter-title
|
||||
|
||||
% Add new page-style (just footer), patch \chapter command to use this page style
|
||||
\fancypagestyle{plainChapter}{%
|
||||
\fancyhf{}%
|
||||
\fancyfoot[C]{\thepage}%
|
||||
\renewcommand{\headrulewidth}{0pt}% Line at the header invisible
|
||||
\renewcommand{\footrulewidth}{0.4pt}% Line at the footer visible
|
||||
}
|
||||
%changes pagestyle; instead of empty page the normal footer is printed
|
||||
\patchcmd{\chapter}{\thispagestyle{plain}}{\thispagestyle{plainChapter}}{}{}
|
||||
%usually, after a new chapter the section counter needs to be reset manually. Instead, automatic reset
|
||||
\pretocmd{\chapter}{\setcounter{section}{0}}{}{}
|
||||
|
||||
\pagestyle{fancy}
|
||||
\pagenumbering{arabic}
|
||||
%remember chapter-title in \leftmark and \rightmark
|
||||
\renewcommand{\chaptermark}[1]{%
|
||||
\markboth{\chaptername
|
||||
\ \thechapter:\ #1}{}}
|
||||
%remember section title in \leftmark
|
||||
\renewcommand{\sectionmark}[1]{%
|
||||
\markright{\thesection.\ #1}{}}
|
||||
|
||||
%change numbering of equations to be section by section
|
||||
\counterwithout{equation}{section}
|
||||
|
||||
\title{\textbf{Lineare Algebra SS2018}}
|
||||
\author{Dozent: Prof. Dr. Arno Fehm}
|
||||
|
||||
%remove page number from part{}-pages
|
||||
\makeatletter
|
||||
\let\sv@endpart\@endpart
|
||||
\def\@endpart{\thispagestyle{empty}\sv@endpart}
|
||||
\makeatother
|
||||
|
||||
\begin{document}
|
||||
\pagenumbering{roman}
|
||||
\pagestyle{plain}
|
||||
|
||||
\maketitle
|
||||
|
||||
\hypertarget{tocpage}{}
|
||||
\tableofcontents
|
||||
\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
|
||||
|
||||
\pagebreak
|
||||
\pagestyle{fancy}
|
||||
\pagenumbering{arabic}
|
||||
\pagestyle{fancy}
|
||||
|
||||
\chapter{Grundbegriffe der Linearen Algebra}
|
||||
\input{./TeX_files/Logik_und_Mengen}
|
||||
\include{./TeX_files/Abbildungen}
|
||||
\include{./TeX_files/Gruppen}
|
||||
\include{./TeX_files/Ringe}
|
||||
\include{./TeX_files/Koerper}
|
||||
\include{./TeX_files/Polynome}
|
||||
|
||||
\chapter{Vektorräume}
|
||||
\input{./TeX_files/Definition_und_Beispiele}
|
||||
\include{./TeX_files/Linearkombinationen}
|
||||
\include{./TeX_files/Basis_und_Dimension}
|
||||
\include{./TeX_files/Summen_von_VR}
|
||||
|
||||
\chapter{Lineare Abbildungen}
|
||||
\input{./TeX_files/Matrizen}
|
||||
\include{./TeX_files/Homomorphismen_von_Gruppen}
|
||||
\include{./TeX_files/Homomorphismen_von_Ringen}
|
||||
\include{./TeX_files/Homomorphismen_von_VR}
|
||||
\include{./TeX_files/Der_VR_der_linearen_Abbildungen}
|
||||
\include{./TeX_files/Koordinatendarstellung_linearer_Abbildungen}
|
||||
\include{./TeX_files/Quotientenraeume}
|
||||
\include{./TeX_files/Rang}
|
||||
\include{./TeX_files/Lineare_Gleichungssysteme}
|
||||
|
||||
\chapter{Determinanten}
|
||||
\input{./TeX_files/Das_Vorzeichen_einer_Permutation}
|
||||
\include{./TeX_files/Determinante_einer_Matrix}
|
||||
\include{./TeX_files/Minoren}
|
||||
\include{./TeX_files/Determinante_und_Spur_von_Endomorphismen}
|
||||
|
||||
\part*{Anhang}
|
||||
\addcontentsline{toc}{part}{Anhang}
|
||||
\appendix
|
||||
\patchcmd{\chapter}{\thispagestyle{plainChapter}}{\thispagestyle{fancy}}{}{}
|
||||
%\titleformat{command}[shape]{format}{label}{sep}{before-code}[after-code]
|
||||
%\titlespacing{command}{left}{before-sep}{after-sep}
|
||||
\renewcommand{\chaptername}{Anhang}
|
||||
\renewcommand{\thechapter}{\Alph{chapter}}
|
||||
\titleformat{\chapter}[hang]{\bfseries}{\LARGE\chaptername\ \thechapter:}{0.5em}{\LARGE\bfseries}
|
||||
\titlespacing{\chapter}{0pt}{-0.75cm}{0pt}
|
||||
\renewcommand{\thesection}{\Alph{chapter}.\arabic{section}}
|
||||
|
||||
%from ntheorem.sty
|
||||
%\def\thm@@thmline@name#1#2#3#4#5{%
|
||||
% \ifx\\#5\\%
|
||||
% \@dottedtocline{-2}{0em}{2.3em}%
|
||||
% {#1 \protect\numberline{#2}#3}%
|
||||
% {#4}
|
||||
% \else
|
||||
% \ifHy@linktocpage\relax\relax
|
||||
% \@dottedtocline{-2}{0em}{2.3em}%
|
||||
% {#1 \protect\numberline{#2}#3}%
|
||||
% {\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
% \else
|
||||
% \@dottedtocline{-2}{0em}{2.3em}%
|
||||
% {\hyper@linkstart{link}{#5}%
|
||||
% {#1 \protect\numberline{#2}#3}\hyper@linkend}%
|
||||
% {#4}%
|
||||
% \fi
|
||||
% \fi
|
||||
%}
|
||||
|
||||
\makeatletter
|
||||
%update ntheorem macro to provide space between theorem numbers and any optional comment
|
||||
\renewcommand{\thm@@thmline@name}[5]{%-
|
||||
\def\thm@@thmline@name@tmp{%
|
||||
\if\relax\detokenize{#3}\relax\else%
|
||||
{\hspace*{2.2ex}#3}%
|
||||
\fi%
|
||||
}%
|
||||
\ifx\\#5\\%
|
||||
\@dottedtocline{-2}{0em}{2.3em}%
|
||||
{#1 \protect\numberline{#2\thm@@thmline@name@tmp}{}}%
|
||||
{#4}
|
||||
\else
|
||||
\ifHy@linktocpage\relax\relax
|
||||
\@dottedtocline{-2}{0em}{1.3em}%
|
||||
{#1 \protect\numberline{#2:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\else
|
||||
\@dottedtocline{-2}{0em}{1.3em}%
|
||||
{#1 \protect\numberline{#2:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\fi
|
||||
\fi
|
||||
}
|
||||
\makeatother
|
||||
|
||||
\chapter{Listen}
|
||||
\section{Liste der Theoreme}
|
||||
\theoremlisttype{allname}
|
||||
\listtheorems{theorem}
|
||||
|
||||
\pagebreak
|
||||
\section{Liste der benannten Sätze}
|
||||
\theoremlisttype{optname}
|
||||
\listtheorems{proposition}
|
||||
|
||||
%\printglossary[type=\acronymtype]
|
||||
\addcontentsline{toc}{chapter}{Index}
|
||||
|
||||
\printindex
|
||||
|
||||
\end{document}
|
||||
Loading…
Add table
Reference in a new issue