mirror of
https://github.com/vale981/TUD_MATH_BA
synced 2025-03-04 17:21:38 -05:00
Issues abarbeiten
This commit is contained in:
Henry Haustein
parent
dd029ed5e3
commit
2574c6e244
20 changed files with 812 additions and 2101 deletions
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@ -1,648 +1,9 @@
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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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\usepackage[onehalfspacing]{setspace}
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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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\usepackage{chngcntr}
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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{calc}
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\usepackage{xstring}
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\usepackage[bb=boondox]{mathalfa} %spezielle Null mit \mathbb{0}, sollte auch mit 1 klappen, aber dafür haben wir \mathbbm{1}
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\usepackage{scalerel,stackengine}
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\usepackage{tocloft}
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|
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\ifluatex
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\usepackage{fontspec}
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||||
\usepackage{eufrac}
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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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|
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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,backgrounds, positioning,fit,petri}
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\usetikzlibrary{matrix}
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\usetikzlibrary{arrows,cd} % for commutative diagrams
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\usetikzlibrary{babel}
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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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|
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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=blue
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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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|
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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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|
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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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|
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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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|
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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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|
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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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%\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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% leftline=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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%]{overview}[theorem]{Überblick}
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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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\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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]{mathematica}{Mathematica/WolframAlpha-Befehle}
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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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\cref@gettype{#1}{\propositionref@current@type}%get the environment's name
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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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\ref{#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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%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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\ref{#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
|
||||
\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
|
||||
\newenvironment{henrysmatrix}{%
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||||
\renewcommand*{\arraystretch}{1.2}
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||||
\setlength\arraycolsep{5pt}
|
||||
\left(\matrixBracketSpacing
|
||||
\begin{matrix}
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||||
}{%
|
||||
\end{matrix}
|
||||
\matrixBracketSpacing\right)
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||||
}
|
||||
|
||||
\makeatletter
|
||||
%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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||||
}
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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)
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||||
\newlength{\@kringel@contentheight}
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||||
\newlength{\@kringel@contentwidth}
|
||||
\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
|
||||
%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]{\sfrac{#1}{#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{\Aff}{Aff}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Hom}{Hom}
|
||||
\DeclareMathOperator{\Abb}{Abb}
|
||||
\DeclareMathOperator{\Bil}{Bil}
|
||||
\DeclareMathOperator{\Eig}{Eig}
|
||||
\DeclareMathOperator{\Mat}{Mat}
|
||||
\DeclareMathOperator{\Ker}{Ker}
|
||||
\DeclareMathOperator{\diag}{diag}
|
||||
\DeclareMathOperator{\GL}{GL}
|
||||
\DeclareMathOperator{\tr}{tr}
|
||||
\DeclareMathOperator{\rk}{rk}
|
||||
\DeclareMathOperator{\ZR}{ZR}
|
||||
\DeclareMathOperator{\SR}{SR}
|
||||
\DeclareMathOperator{\sgn}{sgn}
|
||||
\DeclareMathOperator{\Span}{span}
|
||||
\DeclareMathOperator{\Image}{Im}
|
||||
\DeclareMathOperator{\Sym}{Sym}
|
||||
\DeclareMathOperator{\Hau}{Hau}
|
||||
\DeclareMathOperator{\pr}{pr}
|
||||
\DeclareMathOperator{\Orth}{O}
|
||||
\DeclareMathOperator{\SO}{SO}
|
||||
\DeclareMathOperator{\Uni}{U}
|
||||
\DeclareMathOperator{\SU}{SU}
|
||||
\DeclareMathOperator{\SL}{SL}
|
||||
\DeclareMathOperator{\ggT}{ggT}
|
||||
\DeclareMathOperator{\kgV}{kgV}
|
||||
|
||||
%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}
|
||||
\documentclass[ngerman,a4paper,order=firstname]{../../texmf/tex/latex/mathscript/mathscript}
|
||||
\usepackage{../../texmf/tex/latex/mathoperators/mathoperators}
|
||||
|
||||
\title{\textbf{Lineare Algebra WS2017/18}}
|
||||
\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}
|
||||
|
|
@ -654,7 +15,6 @@ backgroundcolor=lightgrey,%
|
|||
\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
|
||||
|
||||
\pagebreak
|
||||
\pagestyle{fancy}
|
||||
\pagenumbering{arabic}
|
||||
\pagestyle{fancy}
|
||||
|
||||
|
|
@ -695,61 +55,6 @@ backgroundcolor=lightgrey,%
|
|||
\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%
|
||||
}
|
||||
\StrBetween[1,2]{#5}{.}{.}[\thm@@thmline@name@chap@num]%get the chapter number for roman transliteration
|
||||
\ifx\\#5\\%
|
||||
\@dottedtocline{-2}{0em}{2.4em}%
|
||||
{#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}{2.4em}%
|
||||
{#1 \protect\numberline{\rom{\thm@@thmline@name@chap@num}.#2:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\fi
|
||||
\fi
|
||||
}
|
||||
\makeatother
|
||||
|
||||
\chapter{Listen}
|
||||
\section{Liste der Theoreme}
|
||||
|
|
|
|||
|
|
@ -48,7 +48,7 @@ Sei $K=\real$ oder $K=\comp$.
|
|||
\end{proof}
|
||||
|
||||
\begin{proposition}
|
||||
ISei $B$ eine Basis von $V$. Die Abbildung $s\mapsto M_B(s)$ ist eine Bijektion zwischen den Sesquilinearformen auf $V$ und $\Mat_n(K)$.
|
||||
Sei $B$ eine Basis von $V$. Die Abbildung $s\mapsto M_B(s)$ ist eine Bijektion zwischen den Sesquilinearformen auf $V$ und $\Mat_n(K)$.
|
||||
\end{proposition}
|
||||
\begin{proof}
|
||||
\begin{itemize}
|
||||
|
|
|
|||
|
|
@ -27,7 +27,7 @@ Sei $K$ ein Körper und $U,V,W$ seien $K$-Vektorräume. Zudem sei $X$ eine Menge
|
|||
Totalordnung.
|
||||
\item Teilbarkeit $\vert$ ist eine Halbordnung auf $\natur$, aber Teilbarkeit ist keine Halbordnung auf $\whole$, da $1\vert -1$ und $-1\vert 1$, aber $1\neq -1$!
|
||||
\item $\mathcal{P}(X)$ ist die Potenzmenge. ``$\subseteq$'' ist eine Halbordnung auf $\mathcal{P}$, aber für $\vert X\vert>1$ ist ``$\subseteq$'' keine Totalordnung.
|
||||
\item Sei $(X,\le)$ eine Halbordnung, sei $Y\subseteq X$, so ist $(Y,\subseteq\vert_Y)$ eine Halbordnung.
|
||||
\item Sei $(X,\le)$ eine Halbordnung, sei $Y\subseteq X$, so ist $(Y,\le\vert_Y)$ eine Halbordnung.
|
||||
\end{enumerate}
|
||||
\end{example}
|
||||
|
||||
|
|
|
|||
|
|
@ -67,7 +67,7 @@
|
|||
|
||||
\begin{lemma}
|
||||
\proplbl{lemma_5_8}
|
||||
Sei $x\in V$ und $x_i=f(x)$. Es gibt ein kleinstes $k$ mit $x_k\in\Span_K(x_0,x_1,...,x_{k-1})$, und $W=\Span_K(x_0,...,x_{k-1})$ ein $f$-zyklischer UVR von $V$ mit Basis $B=(x_0,...,x_{k-1})$ und $M_B(f\vert_W)=M_{\chi_{f\vert_W}}$.
|
||||
Sei $x\in V$ und $x_i=f^i(x)$. Es gibt ein kleinstes $k$ mit $x_k\in\Span_K(x_0,x_1,...,x_{k-1})$, und $W=\Span_K(x_0,...,x_{k-1})$ ein $f$-zyklischer UVR von $V$ mit Basis $B=(x_0,...,x_{k-1})$ und $M_B(f\vert_W)=M_{\chi_{f\vert_W}}$.
|
||||
\end{lemma}
|
||||
\begin{proof}
|
||||
Da $\dim_K(V)=n$ ist $(x_0,...,x_n)$ linear abhängig, es gibt also ein kleinstes $k$ mit $(x_0,...,x_{k-1})$ linear unabhängig, aber $(x_0,...,x_k)$ linear abhängig, folglich $x_k\in\Span_K(x_0,...,x_{k-1})$. Mit $x_k=f(x_{k-1})=\sum_{i=0}^{k-1}-c_ix_i$ ist dann
|
||||
|
|
|
|||
|
|
@ -90,7 +90,7 @@
|
|||
Genau dann ist $f$ diagonalisierbar, wenn
|
||||
\begin{align}
|
||||
\chi_f(t)&=\prod_{i=1}^m (t-^\lambda_i)^{r_i}\quad \lambda_1,...,\lambda_m\in K\text{ paarweise verscheiden und} \notag \\
|
||||
P_f(t) &= \prod_{i=1}^mm (t-\lambda_i)\notag
|
||||
P_f(t) &= \prod_{i=1}^m (t-\lambda_i)\notag
|
||||
\end{align}
|
||||
\end{conclusion}
|
||||
\begin{proof}
|
||||
|
|
@ -98,7 +98,7 @@
|
|||
\end{proof}
|
||||
|
||||
\begin{remark}
|
||||
Wider definiert man die \person{Jordan}-Invarianten, etc. von einer Matrix $A\in\Mat_n(K)$ als die \person{Jordan}-Invarianten von $f_A\in\End_K(K^n)$.
|
||||
Wieder definiert man die \person{Jordan}-Invarianten, etc. von einer Matrix $A\in\Mat_n(K)$ als die \person{Jordan}-Invarianten von $f_A\in\End_K(K^n)$.
|
||||
\end{remark}
|
||||
|
||||
\begin{conclusion}
|
||||
|
|
|
|||
|
|
@ -17,7 +17,7 @@ Da $\dim_K(V)=n<\infty$ gibt es ein $d$ mit $\Ker(f^d)=\Ker(f^{d+i})$ und $\Imag
|
|||
$f=f_A$, $A\in\Mat_2(K)$.
|
||||
\begin{itemize}
|
||||
\item $A=\begin{henrysmatrix}1&0\\0&1\end{henrysmatrix}$: $\{0\}=\Ker(f^0)=\Ker(f^1)=...$
|
||||
\item $A=\begin{henrysmatrix}1&0\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\Ker(f^1)=\Ker(f^2)=...=\Span_K(e_2)$
|
||||
\item $A=\begin{henrysmatrix}1&0\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\Ker(f^1)\subsetneq\Ker(f^2)=...=\Span_K(e_2)$
|
||||
\item $A=\begin{henrysmatrix}0&1\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\underbrace{\Ker(f^1)}_{=\Span_K(e_1)}\subset \Ker(f^2)=... = K^2$
|
||||
\item $A=\begin{henrysmatrix}0&0\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\Ker(f^1)=\Ker(f^2)=...=K^2$
|
||||
\end{itemize}
|
||||
|
|
|
|||
|
|
@ -10,6 +10,23 @@ Sei $V$ ein euklidischer bzw. unitärer Vektorraum.
|
|||
U^{\perp}=\{x\in V\mid x\perp u\text{ für alle } u\in U\}\notag
|
||||
\end{align}
|
||||
das \begriff{orthogonale Komplement} zu $U$.
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
\draw[blue] (2.75,-2) -- (2.75,3);
|
||||
\node[blue] at (3.2,3) (Komp) {$U^\perp$};
|
||||
|
||||
\draw[thick] (0,0) -- (4,0);
|
||||
\draw[thick] (0,0) -- (1.5,1.5);
|
||||
\draw[thick] (4,0) -- (5.5,1.5);
|
||||
\draw[thick] (1.5,1.5) -- (5.5,1.5);
|
||||
\node at (3.5,0.4) (U) {$U$};
|
||||
\node at (0,2.5) (R) {$\mathbb{R}^3$};
|
||||
|
||||
\coordinate (c2) at (2.75,0.75);
|
||||
\draw ($(c2) + (0:0.4)$) arc (0:90:0.4); % radius=4mm, initial=0, final=90
|
||||
\draw[thick] (2.90,0.90) circle (0.01);
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
\end{definition}
|
||||
|
||||
\begin{lemma}
|
||||
|
|
|
|||
Binary file not shown.
|
|
@ -1,640 +1,10 @@
|
|||
\RequirePackage{ifluatex,ifpdf}
|
||||
\documentclass[ngerman,a4paper]{report}
|
||||
\usepackage[left=2.1cm,right=3.1cm,bottom=3cm,footskip=0.75cm,headsep=0.5cm]{geometry}
|
||||
\usepackage[ngerman]{babel}
|
||||
\usepackage[onehalfspacing]{setspace}
|
||||
\ifpdf
|
||||
\usepackage[utf8]{inputenc} %not recommended with lualatex
|
||||
%\usepackage[T1]{fontenc}
|
||||
\usepackage{chngcntr}
|
||||
\fi
|
||||
\documentclass[ngerman,a4paper,order=firstname]{../../texmf/tex/latex/mathscript/mathscript}
|
||||
\usepackage{../../texmf/tex/latex/mathoperators/mathoperators}
|
||||
|
||||
\usepackage{zref-base}
|
||||
\usepackage{etoolbox}
|
||||
\usepackage{xparse}%better macros
|
||||
\usepackage{calc}
|
||||
\usepackage{xstring}
|
||||
\usepackage[bb=boondox]{mathalfa} %spezielle Null mit \mathbb{0}, sollte auch mit 1 klappen, aber dafür haben wir \mathbbm{1}
|
||||
\usepackage{bigdelim}
|
||||
\newcommand\undermat[2]{%
|
||||
\makebox[0pt][l]{$\smash{\underbrace{\phantom{%
|
||||
\begin{matrix}#2\end{matrix}}}_{\text{$#1$}}}$}#2}
|
||||
|
||||
\usepackage{scalerel,stackengine}
|
||||
\usepackage{tocloft}
|
||||
|
||||
\ifluatex
|
||||
\usepackage{fontspec}
|
||||
\usepackage{eufrac}
|
||||
%awesome package for debugging spacing issues
|
||||
%\usepackage{lua-visual-debug}
|
||||
%\usepackage{luacode}
|
||||
\fi
|
||||
|
||||
\usepackage[texindy]{imakeidx}
|
||||
\indexsetup{
|
||||
level=\chapter*
|
||||
}
|
||||
\makeindex[intoc]
|
||||
|
||||
%\usepackage[xindy,acronym]{glossaries}
|
||||
%\makeglossaries
|
||||
|
||||
\usepackage[title,titletoc]{appendix}
|
||||
|
||||
\usepackage{amsmath}
|
||||
\usepackage{amssymb}
|
||||
\usepackage{amsfonts}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{latexsym}
|
||||
\usepackage{marvosym} %lighning
|
||||
\usepackage{bbm} %unitary matrix 1
|
||||
\usepackage{cancel}
|
||||
\usepackage{xfrac}%sfrac -> fractions e.g. 3/4
|
||||
|
||||
\usepackage[table]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\usepackage{pgfplots}
|
||||
\pgfplotsset{compat=1.10}
|
||||
\usepgfplotslibrary{fillbetween}
|
||||
\usepackage{pgf}
|
||||
\usepackage{tikz}
|
||||
\usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing,backgrounds, positioning,fit,petri}
|
||||
\usetikzlibrary{matrix}
|
||||
\usepackage{color}
|
||||
\usepackage{wasysym}
|
||||
\usepackage{tcolorbox}
|
||||
|
||||
\usepackage{enumerate}
|
||||
\usepackage{enumitem} %customize label
|
||||
\usepackage{stmaryrd} % Lightning symbol
|
||||
|
||||
\usepackage{tabularx}
|
||||
\usepackage{multirow}
|
||||
\usepackage{booktabs}
|
||||
|
||||
\usepackage{ulem} %better underlines
|
||||
|
||||
\usepackage{parskip}%split paragraphs by vspace instead of intendations
|
||||
\usepackage{fancyhdr}
|
||||
\usepackage{titlesec}%customize titles
|
||||
\usepackage{marginnote}
|
||||
|
||||
\usepackage[amsmath,amsthm,thmmarks,hyperref]{ntheorem}%customize theorem-environments more effectively
|
||||
\usepackage[ntheorem,framemethod=TikZ]{mdframed}
|
||||
|
||||
\usepackage{tikz} %diagrams
|
||||
\usetikzlibrary{arrows,cd} % for commutative diagrams
|
||||
\usetikzlibrary{babel}
|
||||
|
||||
\usepackage[unicode,bookmarks=true]{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks,
|
||||
citecolor=green,
|
||||
filecolor=green,
|
||||
linkcolor=blue,
|
||||
urlcolor=blue
|
||||
}
|
||||
\usepackage{cleveref}
|
||||
\usepackage{bookmark}
|
||||
|
||||
\newcommand{\coloredRule}[3][black]{\textcolor{#1}{\rule{#2}{#3}}}
|
||||
\newlength{\blacktrianglewidth}
|
||||
\settowidth{\blacktrianglewidth}{$\blacktriangleright$}
|
||||
|
||||
\definecolor{lightgrey}{gray}{0.91}
|
||||
\definecolor{lightred}{rgb}{1,0.6,0.6}
|
||||
\definecolor{darkgrey}{gray}{0.6}
|
||||
\definecolor{darkgreen}{rgb}{0,0.6,0}
|
||||
|
||||
%numbered theorems
|
||||
\theoremstyle{break}
|
||||
\theorembodyfont{}
|
||||
|
||||
\mdfdefinestyle{boxedtheorem}{%
|
||||
outerlinewidth=3pt,%
|
||||
skipabove=5pt,%
|
||||
skipbelow=10pt,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
nobreak,%enforce no pagebrakes in the whole frame
|
||||
}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
linecolor=darkgrey,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{theorem}{Theorem}[section]
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=darkgrey,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{proposition}[theorem]{Satz}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=darkgrey,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
backgroundcolor=lightgrey,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
]{lemma}[theorem]{Lemma}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=red,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=0,%
|
||||
innerbottommargin=-3pt,%
|
||||
]{definition}[theorem]{Definition}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
outerlinewidth=3pt,%
|
||||
linecolor=black,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=0pt,%
|
||||
innerbottommargin=-0pt,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
skipabove=5pt,%
|
||||
skipbelow=10pt,%
|
||||
]{conclusion}[theorem]{Folgerung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
innerleftmargin=0pt,%
|
||||
skipabove=5pt,%
|
||||
innerleftmargin=10pt,%
|
||||
]{remark}[theorem]{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
innerleftmargin=10pt,%
|
||||
]{example}[theorem]{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
|
||||
|
||||
%unnumbered theorems
|
||||
\theoremstyle{nonumberbreak}
|
||||
\theoremindent0cm
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=red,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=1pt,%
|
||||
innerbottommargin=1pt,%
|
||||
]{*definition}{Definition}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
skipabove=5pt,%
|
||||
innerleftmargin=10pt,%
|
||||
]{*remark}{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=10pt,%
|
||||
]{*example}{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
|
||||
\newtheorem{overview}[theorem]{Überblick}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
leftline=false,
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{*anmerkung}{Anmerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
leftline=false,
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{mathematica}{Mathematica/WolframAlpha-Befehle}
|
||||
|
||||
%Hinweis-Theoremstyle and environment
|
||||
%To get rid of the parentheses, a new theorem style is neccessary (definition of nonumberbreak from ntheorem.sty)
|
||||
%to achieve the underlining, this needed to put in the theoremstyle definition
|
||||
\theoremheaderfont{\mdseries}
|
||||
\theoremseparator{:}
|
||||
\theorempostskip{0pt}
|
||||
\makeatletter
|
||||
\newtheoremstyle{noparentheses}%
|
||||
{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
|
||||
\underline{##1}\theorem@separator}\hbox{\strut}}}]}%
|
||||
{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
|
||||
\underline{##1\ ##3\theorem@separator}}\hbox{\strut}}}]}
|
||||
\newtheoremstyle{underlinedPlain}%
|
||||
{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\theorem@separator}]}%
|
||||
{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\ \theorem@headerfont(##3)\theorem@separator}]}
|
||||
\newtheoremstyle{underlinedEnvironment}{}%
|
||||
{\item[\hskip\labelsep \uline{##1\theorem@headerfont ##3\theorem@separator}]}
|
||||
\newtheoremstyle{boldEnvironment}{}%
|
||||
{\item[\hskip\labelsep \textbf{##1\theorem@headerfont ##3\theorem@separator}]}
|
||||
\newtheoremstyle{proofstyle}%
|
||||
{\item[\hskip\labelsep {\theorem@headerfont ##1}\theorem@separator]}%
|
||||
{\item[\hskip\labelsep {\theorem@headerfont ##1}\ (##3)\theorem@separator]}
|
||||
\makeatother
|
||||
|
||||
\theoremstyle{noparentheses}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerbottommargin=0pt,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{interpretation}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Interpretation}
|
||||
\theoremstyle{underlinedPlain}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{hint}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Hinweis}
|
||||
|
||||
\theoremstyle{underlinedEnvironment}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{underlinedenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
|
||||
\theoremheaderfont{\bfseries}
|
||||
\theoremstyle{boldEnvironment}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{boldenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
|
||||
|
||||
\theoremstyle{proofstyle}
|
||||
\theoremheaderfont{\normalfont\normalsize\itshape}
|
||||
\theorembodyfont{\normalfont\small}
|
||||
\theoremseparator{.}
|
||||
\theorempreskip{5pt}
|
||||
\theorempostskip{5pt}
|
||||
\theoremsymbol{$\square$}
|
||||
\renewtheorem{proof}{Beweis}
|
||||
|
||||
%for \cref: printed environment names
|
||||
\crefname{theorem}{Theorem}{Theoreme}
|
||||
\crefname{proposition}{Satz}{Sätze}
|
||||
\crefname{lemma}{Lemma}{Lemmata}
|
||||
\crefname{conclusion}{Folgerung}{Folgerungen}
|
||||
\crefname{definition}{Definition}{Definitionen}
|
||||
\crefname{remark}{Bemerkung}{Bemerkungen}
|
||||
\crefname{example}{Beispiel}{Beispiele}
|
||||
\crefname{*definition}{Definition}{Definitionen}
|
||||
\crefname{*remark}{Bemerkung}{Bemerkungen}
|
||||
\crefname{*example}{Beispiel}{Beispiele}
|
||||
|
||||
\makeatletter
|
||||
%output a number in upper roman letters
|
||||
\newcommand*{\rom}[1]{\expandafter\@slowromancap\romannumeral #1@}
|
||||
%declare a new label; store current chapter number
|
||||
\newcommand*{\proplbl}[1]{%
|
||||
\@bsphack
|
||||
\begingroup
|
||||
\label{#1}%
|
||||
\zref@setcurrent{default}{\arabic{chapter}}%
|
||||
% \zref@wrapper@immediate{%
|
||||
\zref@labelbyprops{#1@chapter}{default}
|
||||
% }
|
||||
\endgroup
|
||||
\@esphack
|
||||
}
|
||||
|
||||
%refer to a label set by proplbl.
|
||||
%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.
|
||||
%the macro handels both text and math mode. mbox is needed due to a feature concerning ulem / cleveref
|
||||
\newcommand*{\propref}[1]{%
|
||||
\ifcsdef{r@#1}%in first compilation the label may not be defined yet
|
||||
{%
|
||||
\zref@refused{#1@chapter}%
|
||||
\cref@gettype{#1}{\propositionref@current@type}%get the environment's name
|
||||
\ifnumcomp{\value{chapter}}{=}{\zref@extractdefault{#1@chapter}{default}{0}}%
|
||||
{%same chapter
|
||||
\ifmmode
|
||||
\ref{#1}%
|
||||
\else
|
||||
\mbox{\cref{#1}}%
|
||||
\fi
|
||||
}%
|
||||
{%otherwise
|
||||
%example for following line:
|
||||
%\crefformat{truetheorem}{\cref@truetheorem@name~##2\rom{\zref@extractdefault{#1}{#1chapter}{1}}.##1##3}
|
||||
%this changes the format used by \cref to <environtment name> <chapter-number>.<section-number>.<theorem number>
|
||||
\crefformat{\propositionref@current@type}{%
|
||||
\csname cref@\propositionref@current@type @name\endcsname ~##2\rom{\zref@extractdefault{#1@chapter}{default}{1}}.##1##3%
|
||||
}%
|
||||
\ifmmode
|
||||
\ref{#1}%
|
||||
\else
|
||||
\mbox{\cref{#1}}%
|
||||
\fi
|
||||
\crefformat{\propositionref@current@type}{%
|
||||
\csname cref@\propositionref@current@type @name\endcsname~##2##1##3%
|
||||
}%
|
||||
}%
|
||||
}%
|
||||
{??}%similar to \ref\cref: question marks in case of undefined labels
|
||||
}
|
||||
\makeatother
|
||||
|
||||
%declare new term to the index, output if no star is given to call position
|
||||
\NewDocumentCommand{\begriff}{s O{} m O{}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{\index{#2#3#4}}%
|
||||
{%
|
||||
\uline{#3} %
|
||||
\index{#2#3#4}%
|
||||
}%
|
||||
}
|
||||
|
||||
%append a new mathsymbol to the index, output if no star is given at the call position
|
||||
\NewDocumentCommand{\mathsymbol}{s O{} m m O{}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{\index[symbols]{#2#3@\detokenize{#4}#5}}%
|
||||
{#4\index[symbols]{#2#3@\detokenize{#4}#5}}%
|
||||
}
|
||||
|
||||
%remove skip before / after amsmath-environments: default to 0pt. 1star: just before the environment, 2stars: just after the environment, no star: both
|
||||
\NewDocumentCommand{\zeroAmsmathAlignVSpaces}{s s O{0 pt} O{0 pt}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{%
|
||||
\IfBooleanTF{#2}%
|
||||
{\setlength{\belowdisplayskip}{#4}}%
|
||||
{\setlength{\abovedisplayskip}{#3}}%
|
||||
}%
|
||||
{%
|
||||
\setlength{\abovedisplayskip}{#3}%
|
||||
\setlength{\belowdisplayskip}{#4}%
|
||||
}%
|
||||
}
|
||||
|
||||
%general transpose-makro
|
||||
\NewDocumentCommand{\transpose}{m}{\ensuremath{#1^\mathsf{T}}}
|
||||
|
||||
%unused
|
||||
\NewDocumentCommand{\itemEq}{s m}{%
|
||||
\begingroup%
|
||||
\setlength{\abovedisplayskip}{\dimexpr -\parskip + 1pt\relax}%
|
||||
\setlength{\belowdisplayskip}{0pt}%
|
||||
\IfBooleanTF{#1}%
|
||||
{\parbox[c]{\linewidth}{\begin{flalign*}#2&&\end{flalign*}}}%}
|
||||
{\parbox[c]{\linewidth}{\begin{flalign}#2&&\end{flalign}}}%}
|
||||
\endgroup%
|
||||
}
|
||||
|
||||
%new macro for "equals" ^=
|
||||
\newcommand\equalhat{\mathrel{\stackon[1.5pt]{=}{\stretchto{%
|
||||
\scalerel*[\widthof{=}]{\wedge}{\rule{1ex}{3ex}}}{0.5ex}}}}
|
||||
|
||||
%macro that defines the spacing between bracket and content of a matrix
|
||||
\NewDocumentCommand{\matrixBracketSpacing}{}{\mspace{4.0mu plus 3.0mu minus 1.0mu}}
|
||||
%macro width customized spacing between bracktes / content, lineheight and columnwidth
|
||||
\newenvironment{henrysmatrix}{%
|
||||
\renewcommand*{\arraystretch}{1.2}
|
||||
\setlength\arraycolsep{5pt}
|
||||
\left(\matrixBracketSpacing
|
||||
\begin{matrix}
|
||||
}{%
|
||||
\end{matrix}
|
||||
\matrixBracketSpacing\right)
|
||||
}
|
||||
|
||||
\makeatletter
|
||||
%redefine \overline to customize the space between text / line (currently 0.4mm + height of the content)
|
||||
%ATTENTION: when changing the 0.4mm unfortunately, in \kringel the 0.4mm need to be changed accordingly
|
||||
\let\@old@overline\overline
|
||||
\renewcommand*{\overline}[1]{%
|
||||
\@old@overline{\raisebox{0pt}[\dimexpr\height+0.4mm\relax]{$#1$}}%
|
||||
}
|
||||
|
||||
%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}
|
||||
\newlength{\@kringel@contentwidth}
|
||||
\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
|
||||
%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]{\sfrac{#1}{#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{\Aff}{Aff}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Hom}{Hom}
|
||||
\DeclareMathOperator{\Abb}{Abb}
|
||||
\DeclareMathOperator{\Bil}{Bil}
|
||||
\DeclareMathOperator{\Eig}{Eig}
|
||||
\DeclareMathOperator{\Mat}{Mat}
|
||||
\DeclareMathOperator{\Ker}{Ker}
|
||||
\DeclareMathOperator{\diag}{diag}
|
||||
\DeclareMathOperator{\GL}{GL}
|
||||
\DeclareMathOperator{\tr}{tr}
|
||||
\DeclareMathOperator{\rk}{rk}
|
||||
\DeclareMathOperator{\ZR}{ZR}
|
||||
\DeclareMathOperator{\SR}{SR}
|
||||
\DeclareMathOperator{\sgn}{sgn}
|
||||
\DeclareMathOperator{\Span}{span}
|
||||
\DeclareMathOperator{\Image}{Im}
|
||||
\DeclareMathOperator{\Sym}{Sym}
|
||||
\DeclareMathOperator{\Hau}{Hau}
|
||||
\DeclareMathOperator{\pr}{pr}
|
||||
\DeclareMathOperator{\Orth}{O}
|
||||
\DeclareMathOperator{\SO}{SO}
|
||||
\DeclareMathOperator{\Uni}{U}
|
||||
\DeclareMathOperator{\SU}{SU}
|
||||
\DeclareMathOperator{\SL}{SL}
|
||||
\DeclareMathOperator{\ggT}{ggT}
|
||||
\DeclareMathOperator{\kgV}{kgV}
|
||||
|
||||
%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 WS2017/18 + 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}
|
||||
|
|
@ -646,7 +16,6 @@ backgroundcolor=lightgrey,%
|
|||
\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
|
||||
|
||||
\pagebreak
|
||||
\pagestyle{fancy}
|
||||
\pagenumbering{arabic}
|
||||
\pagestyle{fancy}
|
||||
|
||||
|
|
@ -724,68 +93,6 @@ backgroundcolor=lightgrey,%
|
|||
\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, adds in upper roman letters the chapter number. removes any numbering for theorem environments with just one counter
|
||||
\renewcommand{\thm@@thmline@name}[5]{%-
|
||||
\def\thm@@thmline@name@tmp{%
|
||||
\if\relax\detokenize{#3}\relax\else%
|
||||
{\hspace*{2.2ex}#3}%
|
||||
\fi%
|
||||
}
|
||||
\let\thm@@thmline@name@numbering\relax
|
||||
\StrCount{#5}{.}[\thm@@thmline@name@dot@number]
|
||||
\ifnum\thm@@thmline@name@dot@number < 3%
|
||||
\def\thm@@thmline@name@tmp{\hspace*{-1em}#3}
|
||||
\else%
|
||||
\StrBetween[1,2]{#5}{.}{.}[\thm@@thmline@name@chap@num]%get the chapter number for roman transliteration
|
||||
\def\thm@@thmline@name@numbering{\rom{\thm@@thmline@name@chap@num}.#2}
|
||||
\fi
|
||||
\ifx\\#5\\%
|
||||
\@dottedtocline{-2}{0em}{4.4em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}{}}%
|
||||
{#4}
|
||||
\else
|
||||
\ifHy@linktocpage\relax\relax
|
||||
\@dottedtocline{-2}{0em}{1.3em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\else
|
||||
\@dottedtocline{-2}{0em}{4.em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\fi
|
||||
\fi
|
||||
}
|
||||
\makeatother
|
||||
|
||||
\chapter{Listen}
|
||||
\section{Liste der Theoreme}
|
||||
|
|
|
|||
|
|
@ -48,7 +48,7 @@ Sei $K=\real$ oder $K=\comp$.
|
|||
\end{proof}
|
||||
|
||||
\begin{proposition}
|
||||
ISei $B$ eine Basis von $V$. Die Abbildung $s\mapsto M_B(s)$ ist eine Bijektion zwischen den Sesquilinearformen auf $V$ und $\Mat_n(K)$.
|
||||
Sei $B$ eine Basis von $V$. Die Abbildung $s\mapsto M_B(s)$ ist eine Bijektion zwischen den Sesquilinearformen auf $V$ und $\Mat_n(K)$.
|
||||
\end{proposition}
|
||||
\begin{proof}
|
||||
\begin{itemize}
|
||||
|
|
|
|||
|
|
@ -27,7 +27,7 @@ Sei $K$ ein Körper und $U,V,W$ seien $K$-Vektorräume. Zudem sei $X$ eine Menge
|
|||
Totalordnung.
|
||||
\item Teilbarkeit $\vert$ ist eine Halbordnung auf $\natur$, aber Teilbarkeit ist keine Halbordnung auf $\whole$, da $1\vert -1$ und $-1\vert 1$, aber $1\neq -1$!
|
||||
\item $\mathcal{P}(X)$ ist die Potenzmenge. ``$\subseteq$'' ist eine Halbordnung auf $\mathcal{P}$, aber für $\vert X\vert>1$ ist ``$\subseteq$'' keine Totalordnung.
|
||||
\item Sei $(X,\le)$ eine Halbordnung, sei $Y\subseteq X$, so ist $(Y,\subseteq\vert_Y)$ eine Halbordnung.
|
||||
\item Sei $(X,\le)$ eine Halbordnung, sei $Y\subseteq X$, so ist $(Y,\le\vert_Y)$ eine Halbordnung.
|
||||
\end{enumerate}
|
||||
\end{example}
|
||||
|
||||
|
|
|
|||
|
|
@ -66,7 +66,7 @@
|
|||
|
||||
\begin{lemma}
|
||||
\proplbl{lemma_5_8}
|
||||
Sei $x\in V$ und $x_i=f(x)$. Es gibt ein kleinstes $k$ mit $x_k\in\Span_K(x_0,x_1,...,x_{k-1})$, und $W=\Span_K(x_0,...,x_{k-1})$ ein $f$-zyklischer UVR von $V$ mit Basis $B=(x_0,...,x_{k-1})$ und $M_B(f\vert_W)=M_{\chi_{f\vert_W}}$.
|
||||
Sei $x\in V$ und $x_i=f^i(x)$. Es gibt ein kleinstes $k$ mit $x_k\in\Span_K(x_0,x_1,...,x_{k-1})$, und $W=\Span_K(x_0,...,x_{k-1})$ ein $f$-zyklischer UVR von $V$ mit Basis $B=(x_0,...,x_{k-1})$ und $M_B(f\vert_W)=M_{\chi_{f\vert_W}}$.
|
||||
\end{lemma}
|
||||
\begin{proof}
|
||||
Da $\dim_K(V)=n$ ist $(x_0,...,x_n)$ linear abhängig, es gibt also ein kleinstes $k$ mit $(x_0,...,x_{k-1})$ linear unabhängig, aber $(x_0,...,x_k)$ linear abhängig, folglich $x_k\in\Span_K(x_0,...,x_{k-1})$. Mit $x_k=f(x_{k-1})=\sum_{i=0}^{k-1}-c_ix_i$ ist dann
|
||||
|
|
|
|||
|
|
@ -90,7 +90,7 @@
|
|||
Genau dann ist $f$ diagonalisierbar, wenn
|
||||
\begin{align}
|
||||
\chi_f(t)&=\prod_{i=1}^m (t-^\lambda_i)^{r_i}\quad \lambda_1,...,\lambda_m\in K\text{ paarweise verscheiden und} \notag \\
|
||||
P_f(t) &= \prod_{i=1}^mm (t-\lambda_i)\notag
|
||||
P_f(t) &= \prod_{i=1}^m (t-\lambda_i)\notag
|
||||
\end{align}
|
||||
\end{conclusion}
|
||||
\begin{proof}
|
||||
|
|
@ -98,7 +98,7 @@
|
|||
\end{proof}
|
||||
|
||||
\begin{remark}
|
||||
Wider definiert man die \person{Jordan}-Invarianten, etc. von einer Matrix $A\in\Mat_n(K)$ als die \person{Jordan}-Invarianten von $f_A\in\End_K(K^n)$.
|
||||
Wieder definiert man die \person{Jordan}-Invarianten, etc. von einer Matrix $A\in\Mat_n(K)$ als die \person{Jordan}-Invarianten von $f_A\in\End_K(K^n)$.
|
||||
\end{remark}
|
||||
|
||||
\begin{conclusion}
|
||||
|
|
|
|||
|
|
@ -17,7 +17,7 @@ Da $\dim_K(V)=n<\infty$ gibt es ein $d$ mit $\Ker(f^d)=\Ker(f^{d+i})$ und $\Imag
|
|||
$f=f_A$, $A\in\Mat_2(K)$.
|
||||
\begin{itemize}
|
||||
\item $A=\begin{henrysmatrix}1&0\\0&1\end{henrysmatrix}$: $\{0\}=\Ker(f^0)=\Ker(f^1)=...$
|
||||
\item $A=\begin{henrysmatrix}1&0\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\Ker(f^1)=\Ker(f^2)=...=\Span_K(e_2)$
|
||||
\item $A=\begin{henrysmatrix}1&0\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\Ker(f^1)\subsetneq\Ker(f^2)=...=\Span_K(e_2)$
|
||||
\item $A=\begin{henrysmatrix}0&1\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\underbrace{\Ker(f^1)}_{=\Span_K(e_1)}\subset \Ker(f^2)=... = K^2$
|
||||
\item $A=\begin{henrysmatrix}0&0\\0&0\end{henrysmatrix}$: $\{0\}=\Ker(f^0)\subset\Ker(f^1)=\Ker(f^2)=...=K^2$
|
||||
\end{itemize}
|
||||
|
|
|
|||
|
|
@ -10,6 +10,23 @@ Sei $V$ ein euklidischer bzw. unitärer Vektorraum.
|
|||
U^{\perp}=\{x\in V\mid x\perp u\text{ für alle } u\in U\}\notag
|
||||
\end{align}
|
||||
das \begriff{orthogonale Komplement} zu $U$.
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
\draw[blue] (2.75,-2) -- (2.75,3);
|
||||
\node[blue] at (3.2,3) (Komp) {$U^\perp$};
|
||||
|
||||
\draw[thick] (0,0) -- (4,0);
|
||||
\draw[thick] (0,0) -- (1.5,1.5);
|
||||
\draw[thick] (4,0) -- (5.5,1.5);
|
||||
\draw[thick] (1.5,1.5) -- (5.5,1.5);
|
||||
\node at (3.5,0.4) (U) {$U$};
|
||||
\node at (0,2.5) (R) {$\mathbb{R}^3$};
|
||||
|
||||
\coordinate (c2) at (2.75,0.75);
|
||||
\draw ($(c2) + (0:0.4)$) arc (0:90:0.4); % radius=4mm, initial=0, final=90
|
||||
\draw[thick] (2.90,0.90) circle (0.01);
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
\end{definition}
|
||||
|
||||
\begin{lemma}
|
||||
|
|
|
|||
Binary file not shown.
|
|
@ -1,640 +1,9 @@
|
|||
\RequirePackage{ifluatex,ifpdf}
|
||||
\documentclass[ngerman,a4paper]{report}
|
||||
\usepackage[left=2.1cm,right=3.1cm,bottom=3cm,footskip=0.75cm,headsep=0.5cm]{geometry}
|
||||
\usepackage[ngerman]{babel}
|
||||
\usepackage[onehalfspacing]{setspace}
|
||||
\ifpdf
|
||||
\usepackage[utf8]{inputenc} %not recommended with lualatex
|
||||
%\usepackage[T1]{fontenc}
|
||||
\usepackage{chngcntr}
|
||||
\fi
|
||||
|
||||
\usepackage{zref-base}
|
||||
\usepackage{etoolbox}
|
||||
\usepackage{xparse}%better macros
|
||||
\usepackage{calc}
|
||||
\usepackage{xstring}
|
||||
\usepackage[bb=boondox]{mathalfa} %spezielle Null mit \mathbb{0}, sollte auch mit 1 klappen, aber dafür haben wir \mathbbm{1}
|
||||
\usepackage{bigdelim}
|
||||
\newcommand\undermat[2]{%
|
||||
\makebox[0pt][l]{$\smash{\underbrace{\phantom{%
|
||||
\begin{matrix}#2\end{matrix}}}_{\text{$#1$}}}$}#2}
|
||||
|
||||
\usepackage{scalerel,stackengine}
|
||||
\usepackage{tocloft}
|
||||
|
||||
\ifluatex
|
||||
\usepackage{fontspec}
|
||||
\usepackage{eufrac}
|
||||
%awesome package for debugging spacing issues
|
||||
%\usepackage{lua-visual-debug}
|
||||
%\usepackage{luacode}
|
||||
\fi
|
||||
|
||||
\usepackage[texindy]{imakeidx}
|
||||
\indexsetup{
|
||||
level=\chapter*
|
||||
}
|
||||
\makeindex[intoc]
|
||||
|
||||
%\usepackage[xindy,acronym]{glossaries}
|
||||
%\makeglossaries
|
||||
|
||||
\usepackage[title,titletoc]{appendix}
|
||||
|
||||
\usepackage{amsmath}
|
||||
\usepackage{amssymb}
|
||||
\usepackage{amsfonts}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{latexsym}
|
||||
\usepackage{marvosym} %lighning
|
||||
\usepackage{bbm} %unitary matrix 1
|
||||
\usepackage{cancel}
|
||||
\usepackage{xfrac}%sfrac -> fractions e.g. 3/4
|
||||
|
||||
\usepackage[table]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\usepackage{pgfplots}
|
||||
\pgfplotsset{compat=1.10}
|
||||
\usepgfplotslibrary{fillbetween}
|
||||
\usepackage{pgf}
|
||||
\usepackage{tikz}
|
||||
\usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing,backgrounds, positioning,fit,petri}
|
||||
\usetikzlibrary{matrix}
|
||||
\usepackage{color}
|
||||
\usepackage{wasysym}
|
||||
\usepackage{tcolorbox}
|
||||
|
||||
\usepackage{enumerate}
|
||||
\usepackage{enumitem} %customize label
|
||||
\usepackage{stmaryrd} % Lightning symbol
|
||||
|
||||
\usepackage{tabularx}
|
||||
\usepackage{multirow}
|
||||
\usepackage{booktabs}
|
||||
|
||||
\usepackage{ulem} %better underlines
|
||||
|
||||
\usepackage{parskip}%split paragraphs by vspace instead of intendations
|
||||
\usepackage{fancyhdr}
|
||||
\usepackage{titlesec}%customize titles
|
||||
\usepackage{marginnote}
|
||||
|
||||
\usepackage[amsmath,amsthm,thmmarks,hyperref]{ntheorem}%customize theorem-environments more effectively
|
||||
\usepackage[ntheorem,framemethod=TikZ]{mdframed}
|
||||
|
||||
\usepackage{tikz} %diagrams
|
||||
\usetikzlibrary{arrows,cd} % for commutative diagrams
|
||||
\usetikzlibrary{babel}
|
||||
|
||||
\usepackage[unicode,bookmarks=true]{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks,
|
||||
citecolor=green,
|
||||
filecolor=green,
|
||||
linkcolor=blue,
|
||||
urlcolor=blue
|
||||
}
|
||||
\usepackage{cleveref}
|
||||
\usepackage{bookmark}
|
||||
|
||||
\newcommand{\coloredRule}[3][black]{\textcolor{#1}{\rule{#2}{#3}}}
|
||||
\newlength{\blacktrianglewidth}
|
||||
\settowidth{\blacktrianglewidth}{$\blacktriangleright$}
|
||||
|
||||
\definecolor{lightgrey}{gray}{0.91}
|
||||
\definecolor{lightred}{rgb}{1,0.6,0.6}
|
||||
\definecolor{darkgrey}{gray}{0.6}
|
||||
\definecolor{darkgreen}{rgb}{0,0.6,0}
|
||||
|
||||
%numbered theorems
|
||||
\theoremstyle{break}
|
||||
\theorembodyfont{}
|
||||
|
||||
\mdfdefinestyle{boxedtheorem}{%
|
||||
outerlinewidth=3pt,%
|
||||
skipabove=5pt,%
|
||||
skipbelow=10pt,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
nobreak,%enforce no pagebrakes in the whole frame
|
||||
}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
linecolor=darkgrey,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{theorem}{Theorem}[section]
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=darkgrey,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{proposition}[theorem]{Satz}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=darkgrey,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
backgroundcolor=lightgrey,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
]{lemma}[theorem]{Lemma}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=red,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=0,%
|
||||
innerbottommargin=-3pt,%
|
||||
]{definition}[theorem]{Definition}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
outerlinewidth=3pt,%
|
||||
linecolor=black,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=0pt,%
|
||||
innerbottommargin=-0pt,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
skipabove=5pt,%
|
||||
skipbelow=10pt,%
|
||||
]{conclusion}[theorem]{Folgerung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
innerleftmargin=0pt,%
|
||||
skipabove=5pt,%
|
||||
innerleftmargin=10pt,%
|
||||
]{remark}[theorem]{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
innerleftmargin=10pt,%
|
||||
]{example}[theorem]{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
|
||||
|
||||
%unnumbered theorems
|
||||
\theoremstyle{nonumberbreak}
|
||||
\theoremindent0cm
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=red,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=1pt,%
|
||||
innerbottommargin=1pt,%
|
||||
]{*definition}{Definition}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
skipabove=5pt,%
|
||||
innerleftmargin=10pt,%
|
||||
]{*remark}{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=10pt,%
|
||||
]{*example}{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
|
||||
\newtheorem{overview}[theorem]{Überblick}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
leftline=false,
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{*anmerkung}{Anmerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
leftline=false,
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{mathematica}{Mathematica/WolframAlpha-Befehle}
|
||||
|
||||
%Hinweis-Theoremstyle and environment
|
||||
%To get rid of the parentheses, a new theorem style is neccessary (definition of nonumberbreak from ntheorem.sty)
|
||||
%to achieve the underlining, this needed to put in the theoremstyle definition
|
||||
\theoremheaderfont{\mdseries}
|
||||
\theoremseparator{:}
|
||||
\theorempostskip{0pt}
|
||||
\makeatletter
|
||||
\newtheoremstyle{noparentheses}%
|
||||
{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
|
||||
\underline{##1}\theorem@separator}\hbox{\strut}}}]}%
|
||||
{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
|
||||
\underline{##1\ ##3\theorem@separator}}\hbox{\strut}}}]}
|
||||
\newtheoremstyle{underlinedPlain}%
|
||||
{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\theorem@separator}]}%
|
||||
{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\ \theorem@headerfont(##3)\theorem@separator}]}
|
||||
\newtheoremstyle{underlinedEnvironment}{}%
|
||||
{\item[\hskip\labelsep \uline{##1\theorem@headerfont ##3\theorem@separator}]}
|
||||
\newtheoremstyle{boldEnvironment}{}%
|
||||
{\item[\hskip\labelsep \textbf{##1\theorem@headerfont ##3\theorem@separator}]}
|
||||
\newtheoremstyle{proofstyle}%
|
||||
{\item[\hskip\labelsep {\theorem@headerfont ##1}\theorem@separator]}%
|
||||
{\item[\hskip\labelsep {\theorem@headerfont ##1}\ (##3)\theorem@separator]}
|
||||
\makeatother
|
||||
|
||||
\theoremstyle{noparentheses}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerbottommargin=0pt,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{interpretation}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Interpretation}
|
||||
\theoremstyle{underlinedPlain}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{hint}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Hinweis}
|
||||
|
||||
\theoremstyle{underlinedEnvironment}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{underlinedenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
|
||||
\theoremheaderfont{\bfseries}
|
||||
\theoremstyle{boldEnvironment}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{boldenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
|
||||
|
||||
\theoremstyle{proofstyle}
|
||||
\theoremheaderfont{\normalfont\normalsize\itshape}
|
||||
\theorembodyfont{\normalfont\small}
|
||||
\theoremseparator{.}
|
||||
\theorempreskip{5pt}
|
||||
\theorempostskip{5pt}
|
||||
\theoremsymbol{$\square$}
|
||||
\renewtheorem{proof}{Beweis}
|
||||
|
||||
%for \cref: printed environment names
|
||||
\crefname{theorem}{Theorem}{Theoreme}
|
||||
\crefname{proposition}{Satz}{Sätze}
|
||||
\crefname{lemma}{Lemma}{Lemmata}
|
||||
\crefname{conclusion}{Folgerung}{Folgerungen}
|
||||
\crefname{definition}{Definition}{Definitionen}
|
||||
\crefname{remark}{Bemerkung}{Bemerkungen}
|
||||
\crefname{example}{Beispiel}{Beispiele}
|
||||
\crefname{*definition}{Definition}{Definitionen}
|
||||
\crefname{*remark}{Bemerkung}{Bemerkungen}
|
||||
\crefname{*example}{Beispiel}{Beispiele}
|
||||
|
||||
\makeatletter
|
||||
%output a number in upper roman letters
|
||||
\newcommand*{\rom}[1]{\expandafter\@slowromancap\romannumeral #1@}
|
||||
%declare a new label; store current chapter number
|
||||
\newcommand*{\proplbl}[1]{%
|
||||
\@bsphack
|
||||
\begingroup
|
||||
\label{#1}%
|
||||
\zref@setcurrent{default}{\arabic{chapter}}%
|
||||
% \zref@wrapper@immediate{%
|
||||
\zref@labelbyprops{#1@chapter}{default}
|
||||
% }
|
||||
\endgroup
|
||||
\@esphack
|
||||
}
|
||||
|
||||
%refer to a label set by proplbl.
|
||||
%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.
|
||||
%the macro handels both text and math mode. mbox is needed due to a feature concerning ulem / cleveref
|
||||
\newcommand*{\propref}[1]{%
|
||||
\ifcsdef{r@#1}%in first compilation the label may not be defined yet
|
||||
{%
|
||||
\zref@refused{#1@chapter}%
|
||||
\cref@gettype{#1}{\propositionref@current@type}%get the environment's name
|
||||
\ifnumcomp{\value{chapter}}{=}{\zref@extractdefault{#1@chapter}{default}{0}}%
|
||||
{%same chapter
|
||||
\ifmmode
|
||||
\ref{#1}%
|
||||
\else
|
||||
\mbox{\cref{#1}}%
|
||||
\fi
|
||||
}%
|
||||
{%otherwise
|
||||
%example for following line:
|
||||
%\crefformat{truetheorem}{\cref@truetheorem@name~##2\rom{\zref@extractdefault{#1}{#1chapter}{1}}.##1##3}
|
||||
%this changes the format used by \cref to <environtment name> <chapter-number>.<section-number>.<theorem number>
|
||||
\crefformat{\propositionref@current@type}{%
|
||||
\csname cref@\propositionref@current@type @name\endcsname ~##2\rom{\zref@extractdefault{#1@chapter}{default}{1}}.##1##3%
|
||||
}%
|
||||
\ifmmode
|
||||
\ref{#1}%
|
||||
\else
|
||||
\mbox{\cref{#1}}%
|
||||
\fi
|
||||
\crefformat{\propositionref@current@type}{%
|
||||
\csname cref@\propositionref@current@type @name\endcsname~##2##1##3%
|
||||
}%
|
||||
}%
|
||||
}%
|
||||
{??}%similar to \ref\cref: question marks in case of undefined labels
|
||||
}
|
||||
\makeatother
|
||||
|
||||
%declare new term to the index, output if no star is given to call position
|
||||
\NewDocumentCommand{\begriff}{s O{} m O{}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{\index{#2#3#4}}%
|
||||
{%
|
||||
\uline{#3} %
|
||||
\index{#2#3#4}%
|
||||
}%
|
||||
}
|
||||
|
||||
%append a new mathsymbol to the index, output if no star is given at the call position
|
||||
\NewDocumentCommand{\mathsymbol}{s O{} m m O{}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{\index[symbols]{#2#3@\detokenize{#4}#5}}%
|
||||
{#4\index[symbols]{#2#3@\detokenize{#4}#5}}%
|
||||
}
|
||||
|
||||
%remove skip before / after amsmath-environments: default to 0pt. 1star: just before the environment, 2stars: just after the environment, no star: both
|
||||
\NewDocumentCommand{\zeroAmsmathAlignVSpaces}{s s O{0 pt} O{0 pt}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{%
|
||||
\IfBooleanTF{#2}%
|
||||
{\setlength{\belowdisplayskip}{#4}}%
|
||||
{\setlength{\abovedisplayskip}{#3}}%
|
||||
}%
|
||||
{%
|
||||
\setlength{\abovedisplayskip}{#3}%
|
||||
\setlength{\belowdisplayskip}{#4}%
|
||||
}%
|
||||
}
|
||||
|
||||
%general transpose-makro
|
||||
\NewDocumentCommand{\transpose}{m}{\ensuremath{#1^\mathsf{T}}}
|
||||
|
||||
%unused
|
||||
\NewDocumentCommand{\itemEq}{s m}{%
|
||||
\begingroup%
|
||||
\setlength{\abovedisplayskip}{\dimexpr -\parskip + 1pt\relax}%
|
||||
\setlength{\belowdisplayskip}{0pt}%
|
||||
\IfBooleanTF{#1}%
|
||||
{\parbox[c]{\linewidth}{\begin{flalign*}#2&&\end{flalign*}}}%}
|
||||
{\parbox[c]{\linewidth}{\begin{flalign}#2&&\end{flalign}}}%}
|
||||
\endgroup%
|
||||
}
|
||||
|
||||
%new macro for "equals" ^=
|
||||
\newcommand\equalhat{\mathrel{\stackon[1.5pt]{=}{\stretchto{%
|
||||
\scalerel*[\widthof{=}]{\wedge}{\rule{1ex}{3ex}}}{0.5ex}}}}
|
||||
|
||||
%macro that defines the spacing between bracket and content of a matrix
|
||||
\NewDocumentCommand{\matrixBracketSpacing}{}{\mspace{4.0mu plus 3.0mu minus 1.0mu}}
|
||||
%macro width customized spacing between bracktes / content, lineheight and columnwidth
|
||||
\newenvironment{henrysmatrix}{%
|
||||
\renewcommand*{\arraystretch}{1.2}
|
||||
\setlength\arraycolsep{5pt}
|
||||
\left(\matrixBracketSpacing
|
||||
\begin{matrix}
|
||||
}{%
|
||||
\end{matrix}
|
||||
\matrixBracketSpacing\right)
|
||||
}
|
||||
|
||||
\makeatletter
|
||||
%redefine \overline to customize the space between text / line (currently 0.4mm + height of the content)
|
||||
%ATTENTION: when changing the 0.4mm unfortunately, in \kringel the 0.4mm need to be changed accordingly
|
||||
\let\@old@overline\overline
|
||||
\renewcommand*{\overline}[1]{%
|
||||
\@old@overline{\raisebox{0pt}[\dimexpr\height+0.4mm\relax]{$#1$}}%
|
||||
}
|
||||
|
||||
%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}
|
||||
\newlength{\@kringel@contentwidth}
|
||||
\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
|
||||
%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]{\sfrac{#1}{#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{\Aff}{Aff}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Hom}{Hom}
|
||||
\DeclareMathOperator{\Abb}{Abb}
|
||||
\DeclareMathOperator{\Bil}{Bil}
|
||||
\DeclareMathOperator{\Eig}{Eig}
|
||||
\DeclareMathOperator{\Mat}{Mat}
|
||||
\DeclareMathOperator{\Ker}{Ker}
|
||||
\DeclareMathOperator{\diag}{diag}
|
||||
\DeclareMathOperator{\GL}{GL}
|
||||
\DeclareMathOperator{\tr}{tr}
|
||||
\DeclareMathOperator{\rk}{rk}
|
||||
\DeclareMathOperator{\ZR}{ZR}
|
||||
\DeclareMathOperator{\SR}{SR}
|
||||
\DeclareMathOperator{\sgn}{sgn}
|
||||
\DeclareMathOperator{\Span}{span}
|
||||
\DeclareMathOperator{\Image}{Im}
|
||||
\DeclareMathOperator{\Sym}{Sym}
|
||||
\DeclareMathOperator{\Hau}{Hau}
|
||||
\DeclareMathOperator{\pr}{pr}
|
||||
\DeclareMathOperator{\Orth}{O}
|
||||
\DeclareMathOperator{\SO}{SO}
|
||||
\DeclareMathOperator{\Uni}{U}
|
||||
\DeclareMathOperator{\SU}{SU}
|
||||
\DeclareMathOperator{\SL}{SL}
|
||||
\DeclareMathOperator{\ggT}{ggT}
|
||||
\DeclareMathOperator{\kgV}{kgV}
|
||||
|
||||
%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}
|
||||
\documentclass[ngerman,a4paper,order=firstname]{../../texmf/tex/latex/mathscript/mathscript}
|
||||
\usepackage{../../texmf/tex/latex/mathoperators/mathoperators}
|
||||
|
||||
\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}
|
||||
|
|
@ -646,7 +15,6 @@ backgroundcolor=lightgrey,%
|
|||
\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
|
||||
|
||||
\pagebreak
|
||||
\pagestyle{fancy}
|
||||
\pagenumbering{arabic}
|
||||
\pagestyle{fancy}
|
||||
|
||||
|
|
@ -691,68 +59,6 @@ backgroundcolor=lightgrey,%
|
|||
\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, adds in upper roman letters the chapter number. removes any numbering for theorem environments with just one counter
|
||||
\renewcommand{\thm@@thmline@name}[5]{%-
|
||||
\def\thm@@thmline@name@tmp{%
|
||||
\if\relax\detokenize{#3}\relax\else%
|
||||
{\hspace*{2.2ex}#3}%
|
||||
\fi%
|
||||
}
|
||||
\let\thm@@thmline@name@numbering\relax
|
||||
\StrCount{#5}{.}[\thm@@thmline@name@dot@number]
|
||||
\ifnum\thm@@thmline@name@dot@number < 3%
|
||||
\def\thm@@thmline@name@tmp{\hspace*{-1em}#3}
|
||||
\else%
|
||||
\StrBetween[1,2]{#5}{.}{.}[\thm@@thmline@name@chap@num]%get the chapter number for roman transliteration
|
||||
\def\thm@@thmline@name@numbering{\rom{\thm@@thmline@name@chap@num}.#2}
|
||||
\fi
|
||||
\ifx\\#5\\%
|
||||
\@dottedtocline{-2}{0em}{4.4em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}{}}%
|
||||
{#4}
|
||||
\else
|
||||
\ifHy@linktocpage\relax\relax
|
||||
\@dottedtocline{-2}{0em}{1.3em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\else
|
||||
\@dottedtocline{-2}{0em}{4.em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\fi
|
||||
\fi
|
||||
}
|
||||
\makeatother
|
||||
|
||||
\chapter{Listen}
|
||||
\section{Liste der Theoreme}
|
||||
|
|
@ -774,4 +80,4 @@ backgroundcolor=lightgrey,%
|
|||
|
||||
\printindex
|
||||
|
||||
\end{document}
|
||||
\end{document}
|
||||
110
texmf/tex/latex/mathoperators/mathoperators.sty
Normal file
110
texmf/tex/latex/mathoperators/mathoperators.sty
Normal file
|
|
@ -0,0 +1,110 @@
|
|||
\ProvidesPackage{mathoperators}
|
||||
|
||||
%Provides some common math related commands and operators
|
||||
\RequirePackage{amsmath}
|
||||
\RequirePackage{amssymb}
|
||||
\RequirePackage{amsfonts}
|
||||
\RequirePackage{scalerel,stackengine}
|
||||
\RequirePackage{calc}
|
||||
|
||||
%transpose
|
||||
\newcommand\transpose[1]{\ensuremath{#1^\mathsf{T}}}
|
||||
%new macro for "equals" ^=
|
||||
\newcommand\equalhat{\mathrel{\stackon[1.5pt]{=}{\stretchto{%
|
||||
\scalerel*[\widthof{=}]{\wedge}{\rule{1ex}{3ex}}}{0.5ex}}}}
|
||||
|
||||
%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}{\textsc{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]{\sfrac{#1}{#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{\Aff}{Aff}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Hom}{Hom}
|
||||
\DeclareMathOperator{\Abb}{Abb}
|
||||
\DeclareMathOperator{\Bil}{Bil}
|
||||
\DeclareMathOperator{\Eig}{Eig}
|
||||
\DeclareMathOperator{\Mat}{Mat}
|
||||
\DeclareMathOperator{\Ker}{Ker}
|
||||
\DeclareMathOperator{\diag}{diag}
|
||||
\DeclareMathOperator{\GL}{GL}
|
||||
\DeclareMathOperator{\tr}{tr}
|
||||
\DeclareMathOperator{\rk}{rk}
|
||||
\DeclareMathOperator{\ZR}{ZR}
|
||||
\DeclareMathOperator{\SR}{SR}
|
||||
\DeclareMathOperator{\sgn}{sgn}
|
||||
\DeclareMathOperator{\Span}{span}
|
||||
\DeclareMathOperator{\Image}{Im}
|
||||
\DeclareMathOperator{\Sym}{Sym}
|
||||
\DeclareMathOperator{\Hau}{Hau}
|
||||
\DeclareMathOperator{\pr}{pr}
|
||||
\DeclareMathOperator{\Orth}{O}
|
||||
\DeclareMathOperator{\SO}{SO}
|
||||
\DeclareMathOperator{\Uni}{U}
|
||||
\DeclareMathOperator{\SU}{SU}
|
||||
\DeclareMathOperator{\SL}{SL}
|
||||
\DeclareMathOperator{\ggT}{ggT}
|
||||
\DeclareMathOperator{\kgV}{kgV}
|
||||
|
||||
\endinput
|
||||
648
texmf/tex/latex/mathscript/mathscript.cls
Normal file
648
texmf/tex/latex/mathscript/mathscript.cls
Normal file
|
|
@ -0,0 +1,648 @@
|
|||
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
|
||||
\ProvidesClass{mathscript}[2018/08/05 mathscript]
|
||||
|
||||
%programming related packages
|
||||
\RequirePackage{zref-base}
|
||||
\RequirePackage{etoolbox}
|
||||
\RequirePackage{xparse}%better macros
|
||||
\RequirePackage{calc}
|
||||
\RequirePackage{xstring}
|
||||
\RequirePackage{xkeyval}
|
||||
|
||||
%possible values: firstnumber, firstname
|
||||
\def\theoremheader@order@val{firstnumber}
|
||||
\DeclareOptionX{order}{%
|
||||
%sets accordingly the required ntheoremoptions
|
||||
\let\tempa\@empty
|
||||
\IfEq{#1}{firstnumber}{\def\tempa{changebreak}}{%
|
||||
\IfEq{#1}{firstname}{\def\tempa{break}}{%
|
||||
\PackageWarning{mathscript}{Unknown Value}
|
||||
}
|
||||
}
|
||||
\edef\theoremheader@order@val{\tempa}
|
||||
}
|
||||
|
||||
%possible values: all you can imagine. usefull values: in this class predefined theorem-environment-names
|
||||
\listadd{\theorem@disable}{\@empty}
|
||||
\DeclareOptionX{disable}{%
|
||||
\listadd{\theorem@disable}{#1}
|
||||
}
|
||||
|
||||
\DeclareOptionX*{\PassOptionsToClass{\CurrentOption}{report}}
|
||||
\ProcessOptionsX
|
||||
\LoadClass[ngerman,a4paper]{report}
|
||||
|
||||
\RequirePackage{ifpdf,ifluatex}
|
||||
|
||||
%decent space; change explicitly the space between header and content and footer and content
|
||||
\RequirePackage[left=2.1cm,right=3.1cm,bottom=3cm,footskip=0.75cm,headsep=0.5cm]{geometry}
|
||||
\RequirePackage{babel}
|
||||
|
||||
|
||||
\ifpdf
|
||||
\ifluatex
|
||||
%new lualatex needs explicit fontspec to draw properly e.g. german umlauts
|
||||
\RequirePackage{fontspec}
|
||||
\else
|
||||
%old pdflatex needs explicitly utf-8-support
|
||||
\RequirePackage[utf8]{inputenc}
|
||||
\RequirePackage{chngcntr}
|
||||
\RequirePackage{eufrac}
|
||||
\fi
|
||||
\fi
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Layout related packages
|
||||
\RequirePackage{parskip} %split paragraphs by vspace instead of intendations
|
||||
\RequirePackage{fancyhdr} %customize header / footer
|
||||
\RequirePackage{titlesec} %customize titles
|
||||
\RequirePackage{tocloft}
|
||||
|
||||
%tabulars
|
||||
\RequirePackage{tabularx} %tabularx-environment (explicitly set width of columns)
|
||||
\RequirePackage{multirow}
|
||||
\RequirePackage{booktabs} %improved rules
|
||||
|
||||
\RequirePackage[title,titletoc]{appendix}
|
||||
|
||||
\RequirePackage{environ}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Math related packages
|
||||
%basic ams-math and enhancments
|
||||
\RequirePackage{amsmath,amssymb,amsfonts,mathtools}
|
||||
|
||||
%add some font-related stuff
|
||||
\RequirePackage{latexsym}
|
||||
\RequirePackage{marvosym} %lightning (contradiction)
|
||||
\RequirePackage{stmaryrd} %Lightning symbol
|
||||
\RequirePackage{bbm} %unitary matrix
|
||||
\RequirePackage{wasysym} %add some symbols
|
||||
\RequirePackage[bb=boondox]{mathalfa} %special zero using \mathbb{0}
|
||||
|
||||
%further support for different equation setting
|
||||
\RequirePackage{cancel}
|
||||
\RequirePackage{xfrac} %sfrac -> fractions e.g. 3/4
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Graphics-related packages
|
||||
\RequirePackage[table]{xcolor}
|
||||
\RequirePackage{graphicx}
|
||||
\RequirePackage{tcolorbox}
|
||||
|
||||
\RequirePackage{pgfplots}
|
||||
\pgfplotsset{compat=1.10}
|
||||
\usepgfplotslibrary{fillbetween}
|
||||
\RequirePackage{pgf}
|
||||
\RequirePackage{tikz}
|
||||
\usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing,backgrounds, positioning,fit,petri}
|
||||
\usetikzlibrary{matrix}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Text-related packages
|
||||
%increase line spacing
|
||||
\RequirePackage[onehalfspacing]{setspace} %increase row-space
|
||||
\RequirePackage{parskip} %split paragraphs by vspace instead of intendations
|
||||
\RequirePackage{ulem} %better underlines
|
||||
\RequirePackage{marginnote}
|
||||
|
||||
%enumeration
|
||||
\RequirePackage{enumerate}
|
||||
\RequirePackage{enumitem} %customize label
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Index related packages
|
||||
\RequirePackage[texindy]{imakeidx}
|
||||
\indexsetup{
|
||||
level=\chapter*
|
||||
}
|
||||
\makeindex[intoc]
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Theorem-related packages
|
||||
\RequirePackage[amsmath,amsthm,thmmarks,hyperref]{ntheorem}
|
||||
\RequirePackage[ntheorem,framemethod=TikZ]{mdframed}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\RequirePackage[unicode,bookmarks=true]{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks,
|
||||
citecolor=green,
|
||||
filecolor=green,
|
||||
linkcolor=blue,
|
||||
urlcolor=blue
|
||||
}
|
||||
\RequirePackage{cleveref}
|
||||
\RequirePackage{bookmark} %pdf-bookmarks
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% End Packages %
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\RenewDocumentCommand{\newmdtheoremenv}{O{} m o m o}{%
|
||||
\ifinlist{#2}{\theorem@disable}{%
|
||||
\IfStrEq{#2}{theorem}{\newtheorem{#2}{}[section]}{\newtheorem{#2}{}[theorem]}
|
||||
\RenewEnviron{#2}{\stepcounter{theorem}}{}
|
||||
}{%
|
||||
%from mdframed.sty, definition of \newmdtheoremenv
|
||||
\ifboolexpr{ test {\IfNoValueTF {#3}} and test {\IfNoValueTF {#5}} }%
|
||||
{\newtheorem{#2}{#4}}{%
|
||||
\IfValueTF{#3}{\newtheorem{#2}[#3]{#4}}{}%
|
||||
\IfValueTF{#5}{\newtheorem{#2}{#4}[#5]}{}%
|
||||
}%
|
||||
\BeforeBeginEnvironment{#2}{%
|
||||
\begin{mdframed}[#1]}%
|
||||
\AfterEndEnvironment{#2}{%
|
||||
\end{mdframed}}%
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Setup theorem environments
|
||||
|
||||
%triangle symbol + length
|
||||
\newlength{\blacktrianglewidth}
|
||||
\settowidth{\blacktrianglewidth}{$\blacktriangleright$}
|
||||
|
||||
%colors
|
||||
\definecolor{lightgrey}{gray}{0.91}
|
||||
\definecolor{lightred}{rgb}{1,0.6,0.6}
|
||||
\definecolor{darkgrey}{gray}{0.6}
|
||||
\definecolor{darkgreen}{rgb}{0,0.6,0}
|
||||
|
||||
\mdfdefinestyle{boxedtheorem}{%
|
||||
outerlinewidth=3pt,%
|
||||
skipabove=5pt,%
|
||||
skipbelow=10pt,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
nobreak,%enforce no pagebrakes in the whole frame
|
||||
}
|
||||
|
||||
%numbered environments
|
||||
\theoremstyle{\theoremheader@order@val} %set by pacakge options above
|
||||
\theorembodyfont{}
|
||||
|
||||
%including background
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
linecolor=darkgrey,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{theorem}{Theorem}[section]
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=darkgrey,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{proposition}[theorem]{Satz}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=darkgrey,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
backgroundcolor=lightgrey,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
]{lemma}[theorem]{Lemma}
|
||||
|
||||
%excluding background
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=red,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=0,%
|
||||
innerbottommargin=-3pt,%
|
||||
]{definition}[theorem]{Definition}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
outerlinewidth=3pt,%
|
||||
linecolor=black,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=0pt,%
|
||||
innerbottommargin=-0pt,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
skipabove=5pt,%
|
||||
skipbelow=10pt,%
|
||||
]{conclusion}[theorem]{Folgerung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
innerleftmargin=0pt,%
|
||||
skipabove=5pt,%
|
||||
innerleftmargin=10pt,%
|
||||
]{remark}[theorem]{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
innerleftmargin=10pt,%
|
||||
]{example}[theorem]{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
|
||||
|
||||
%unnumbered theorems
|
||||
\theoremstyle{nonumberbreak}
|
||||
\theoremindent0cm
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
linecolor=red,%
|
||||
topline=false,%
|
||||
rightline=false,%
|
||||
bottomline=false,%
|
||||
innertopmargin=1pt,%
|
||||
innerbottommargin=1pt,%
|
||||
]{*definition}{Definition}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
frametitlefont=\normalfont\bfseries\color{black},%
|
||||
skipabove=5pt,%
|
||||
innerleftmargin=10pt,%
|
||||
]{*remark}{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=10pt,%
|
||||
]{*example}{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
hidealllines=true,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{*anmerkung}{Anmerkung}
|
||||
|
||||
\newmdtheoremenv[%
|
||||
style=boxedtheorem,%
|
||||
hidealllines=true,%
|
||||
innertopmargin=\topskip,%
|
||||
innerbottommargin=\topskip,%
|
||||
backgroundcolor=lightgrey,%
|
||||
]{mathematica}{Mathematica/WolframAlpha-Befehle}
|
||||
|
||||
\newtheorem{overview}[theorem]{Überblick}
|
||||
|
||||
%various unnumbered thereoms and environment (usually included in theorems like above)
|
||||
%To get rid of the parentheses, a new theorem style is neccessary (definition of nonumberbreak from ntheorem.sty)
|
||||
%to achieve the underlining, this needed to put in the theoremstyle definition
|
||||
\theoremheaderfont{\mdseries}
|
||||
\theoremseparator{:}
|
||||
\theorempostskip{0pt}
|
||||
|
||||
%define new theorem-styles
|
||||
\newtheoremstyle{noparentheses}%
|
||||
{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
|
||||
\underline{##1}\theorem@separator}\hbox{\strut}}}]}%
|
||||
{\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont
|
||||
\underline{##1\ ##3\theorem@separator}}\hbox{\strut}}}]}
|
||||
|
||||
\newtheoremstyle{underlinedPlain}%
|
||||
{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\theorem@separator}]}%
|
||||
{\item[\hskip\labelsep \uline{\theorem@headerfont ##1\ \theorem@headerfont(##3)\theorem@separator}]}
|
||||
|
||||
\newtheoremstyle{underlinedEnvironment}{}%
|
||||
{\item[\hskip\labelsep \uline{##1\theorem@headerfont ##3\theorem@separator}]}
|
||||
|
||||
\newtheoremstyle{boldEnvironment}{}%
|
||||
{\item[\hskip\labelsep \textbf{##1\theorem@headerfont ##3\theorem@separator}]}
|
||||
|
||||
%theorems
|
||||
\theoremstyle{noparentheses}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerbottommargin=0pt,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{interpretation}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Interpretation}
|
||||
|
||||
\theoremstyle{underlinedPlain}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{hint}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Hinweis}
|
||||
|
||||
\theoremstyle{underlinedEnvironment}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{underlinedenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
|
||||
|
||||
\theoremheaderfont{\bfseries}
|
||||
\theoremstyle{boldEnvironment}
|
||||
\newmdtheoremenv[%
|
||||
hidealllines=true,%
|
||||
innerleftmargin=1em,%
|
||||
innerrightmargin=0,%
|
||||
skipbelow=0pt,%
|
||||
]{boldenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}}
|
||||
|
||||
%proofs
|
||||
\newtheoremstyle{proofstyle}%
|
||||
{\item[\hskip\labelsep {\theorem@headerfont ##1}\theorem@separator]}%
|
||||
{\item[\hskip\labelsep {\theorem@headerfont ##1}\ (##3)\theorem@separator]}
|
||||
|
||||
\theoremstyle{proofstyle}
|
||||
\theoremheaderfont{\normalfont\normalsize\itshape}
|
||||
\theorembodyfont{\normalfont\small}
|
||||
\theoremseparator{.}
|
||||
\theorempreskip{5pt}
|
||||
\theorempostskip{5pt}
|
||||
\theoremsymbol{$\square$}
|
||||
|
||||
\ifinlist{proof}{\theorem@disable}{\RenewEnviron{proof}{}{}}{\renewtheorem{proof}{Beweis}}
|
||||
|
||||
%cref: print correct translation
|
||||
\crefname{theorem}{Theorem}{Theoreme}
|
||||
\crefname{proposition}{Satz}{Sätze}
|
||||
\crefname{lemma}{Lemma}{Lemmata}
|
||||
\crefname{conclusion}{Folgerung}{Folgerungen}
|
||||
\crefname{definition}{Definition}{Definitionen}
|
||||
\crefname{remark}{Bemerkung}{Bemerkungen}
|
||||
\crefname{example}{Beispiel}{Beispiele}
|
||||
\crefname{*definition}{Definition}{Definitionen}
|
||||
\crefname{*remark}{Bemerkung}{Bemerkungen}
|
||||
\crefname{*example}{Beispiel}{Beispiele}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%Additional features
|
||||
|
||||
%some minor commands
|
||||
\newcommand*{\rom}[1]{\expandafter\@slowromancap\romannumeral #1@} %print integer in capital roman letters
|
||||
\newcommand{\leqnos}{\tagsleft@true\let\veqno\@@leqno} %set equation numbering left / right
|
||||
\newcommand{\reqnos}{\tagsleft@false\let\veqno\@@eqno}
|
||||
|
||||
%declare a new label; store current chapter number
|
||||
\newcommand*{\proplbl}[1]{%
|
||||
\@bsphack
|
||||
\begingroup
|
||||
\label{#1}%
|
||||
\zref@setcurrent{default}{\c@chapter}%
|
||||
\zref@wrapper@immediate{%
|
||||
\zref@labelbyprops{#1@chapter}{default}%
|
||||
}
|
||||
\endgroup
|
||||
\@esphack
|
||||
}
|
||||
|
||||
%refer to a label set by proplbl.
|
||||
%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.
|
||||
%the macro handels both text and math mode. mbox is needed due to a feature concerning ulem / cleveref
|
||||
\newcommand*{\propref}[1]{%
|
||||
\ifcsdef{r@#1}%in first compilation the label may not be defined yet
|
||||
{%
|
||||
\zref@refused{#1@chapter}%
|
||||
\cref@gettype{#1}{\propositionref@current@type}%get the environment's name
|
||||
\ifnumcomp{\c@chapter}{=}{\zref@extractdefault{#1@chapter}{default}{\z@}}%
|
||||
{%same chapter
|
||||
\ifmmode
|
||||
\ref{#1}%
|
||||
\else
|
||||
\mbox{\cref{#1}}%
|
||||
\fi
|
||||
}%
|
||||
{%otherwise
|
||||
%example for following line:
|
||||
%\crefformat{truetheorem}{\cref@truetheorem@name~##2\rom{\zref@extractdefault{#1}{#1chapter}{1}}.##1##3}
|
||||
%this changes the format used by \cref to <environtment name> <chapter-number>.<section-number>.<theorem number>
|
||||
\crefformat{\propositionref@current@type}{%
|
||||
\csname cref@\propositionref@current@type @name\endcsname ~##2\rom{\zref@extractdefault{#1@chapter}{default}{\@ne}}.##1##3%
|
||||
}%
|
||||
\ifmmode
|
||||
\ref{#1}%
|
||||
\else
|
||||
\mbox{\cref{#1}}%
|
||||
\fi
|
||||
\crefformat{\propositionref@current@type}{%
|
||||
\csname cref@\propositionref@current@type @name\endcsname~##2##1##3%
|
||||
}%
|
||||
}%
|
||||
}%
|
||||
{???}%similar to \ref\cref: question marks in case of undefined labels
|
||||
}
|
||||
|
||||
%declare new term to the index, output if no star is given to call position
|
||||
\NewDocumentCommand{\begriff}{s O{} m O{}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{\index{#2#3#4}}%
|
||||
{%
|
||||
\uline{#3} %
|
||||
\index{#2#3#4}%
|
||||
}%
|
||||
}
|
||||
|
||||
%append a new mathsymbol to the index, output if no star is given at the call position
|
||||
\NewDocumentCommand{\mathsymbol}{s O{} m m O{}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{\index[symbols]{#2#3@\detokenize{#4}#5}}%
|
||||
{#4\index[symbols]{#2#3@\detokenize{#4}#5}}%
|
||||
}
|
||||
|
||||
%remove skip before / after amsmath-environments: default to 0pt. 1star: just before the environment, 2stars: just after the environment, no star: both
|
||||
\NewDocumentCommand{\zeroAmsmathAlignVSpaces}{s s O{0 pt} O{0 pt}}{%
|
||||
\IfBooleanTF{#1}%
|
||||
{%
|
||||
\IfBooleanTF{#2}%
|
||||
{\setlength{\belowdisplayskip}{#4}}%
|
||||
{\setlength{\abovedisplayskip}{#3}}%
|
||||
}%
|
||||
{%
|
||||
\setlength{\abovedisplayskip}{#3}%
|
||||
\setlength{\belowdisplayskip}{#4}%
|
||||
}%
|
||||
}
|
||||
|
||||
\NewDocumentCommand{\itemEq}{s m}{%
|
||||
\begingroup%
|
||||
\setlength{\abovedisplayskip}{\dimexpr -\parskip + 1pt\relax}%
|
||||
\setlength{\belowdisplayskip}{0pt}%
|
||||
\IfBooleanTF{#1}%
|
||||
{\parbox[c]{\linewidth}{\begin{flalign*}#2&&\end{flalign*}}}%}
|
||||
{\parbox[c]{\linewidth}{\begin{flalign}#2&&\end{flalign}}}%}
|
||||
\endgroup%
|
||||
}
|
||||
|
||||
%macro that defines the spacing between bracket and content of a matrix
|
||||
\NewDocumentCommand{\matrixBracketSpacing}{}{\mspace{4.0mu plus 3.0mu minus 1.0mu}}
|
||||
%macro width customized spacing between bracktes / content, lineheight and columnwidth
|
||||
\newenvironment{henrysmatrix}{%
|
||||
\renewcommand*{\arraystretch}{1.2}
|
||||
\setlength\arraycolsep{5pt}
|
||||
\left(\matrixBracketSpacing
|
||||
\begin{matrix}
|
||||
}{%
|
||||
\end{matrix}
|
||||
\matrixBracketSpacing\right)
|
||||
}
|
||||
|
||||
%redefine \overline to customize the space between text / line (currently 0.4mm + height of the content)
|
||||
%ATTENTION: when changing the 0.4mm unfortunately, in \kringel the 0.4mm need to be changed accordingly
|
||||
\let\@old@overline\overline
|
||||
\renewcommand*{\overline}[1]{%
|
||||
\ifmmode
|
||||
\@old@overline{\raisebox{0pt}[\dimexpr\height+0.4mm\relax]{$#1$}}%
|
||||
\else
|
||||
\bar{#1}
|
||||
\fi
|
||||
}
|
||||
|
||||
%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}
|
||||
\newlength{\@kringel@contentwidth}
|
||||
\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
|
||||
%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}}
|
||||
}
|
||||
|
||||
%update ntheorem macro to provide space between theorem numbers and any optional comment, adds in upper roman letters the chapter number. removes any numbering for theorem environments with just one counter
|
||||
\renewcommand{\thm@@thmline@name}[5]{%-
|
||||
\def\thm@@thmline@name@tmp{%
|
||||
\if\relax\detokenize{#3}\relax\else%
|
||||
{\hspace*{2.2ex}#3}%
|
||||
\fi%
|
||||
}
|
||||
\let\thm@@thmline@name@numbering\relax
|
||||
\StrCount{#5}{.}[\thm@@thmline@name@dot@number]
|
||||
\ifnum\thm@@thmline@name@dot@number < 3%
|
||||
\def\thm@@thmline@name@tmp{\hspace*{-1em}#3}
|
||||
\else%
|
||||
\StrBetween[1,2]{#5}{.}{.}[\thm@@thmline@name@chap@num]%get the chapter number for roman transliteration
|
||||
\def\thm@@thmline@name@numbering{\rom{\thm@@thmline@name@chap@num}.#2}
|
||||
\fi
|
||||
\ifx\\#5\\%
|
||||
\@dottedtocline{-2}{0em}{4.4em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}{}}%
|
||||
{#4}
|
||||
\else
|
||||
\ifHy@linktocpage\relax\relax
|
||||
\@dottedtocline{-2}{0em}{1.3em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\else
|
||||
\@dottedtocline{-2}{0em}{4.em}%
|
||||
{#1 \protect\numberline{\thm@@thmline@name@numbering:}\thm@@thmline@name@tmp}%
|
||||
{\hyper@linkstart{link}{#5}{#4}\hyper@linkend}%
|
||||
\fi
|
||||
\fi
|
||||
}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%55
|
||||
%Settings
|
||||
|
||||
\pdfstringdefDisableCommands{%
|
||||
\def\\{}%
|
||||
\def\texttt#1{<#1>}%
|
||||
\def\mathbb#1{<#1>}%
|
||||
}
|
||||
\reqnos
|
||||
|
||||
%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{\cftsubsecindent}{4.8em}
|
||||
|
||||
% 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}{}}
|
||||
|
||||
%remove page number from part{}-pages
|
||||
\let\sv@endpart\@endpart
|
||||
\def\@endpart{\thispagestyle{empty}\sv@endpart}
|
||||
|
||||
%change header:
|
||||
\renewcommand{\headrulewidth}{0.75pt}
|
||||
\renewcommand{\footrulewidth}{0.3pt}
|
||||
\lhead{\rightmark}%left: section-number. section-title
|
||||
\rhead{\leftmark}%right: chapter chapternumber: chapter-title
|
||||
|
||||
%change numbering of equations to be section by section
|
||||
\counterwithout{equation}{section}
|
||||
|
||||
%appendix:
|
||||
\let\old@appendix\appendix
|
||||
\def\appendix{%
|
||||
\old@appendix%
|
||||
\patchcmd{\chapter}{\thispagestyle{plainChapter}}{\thispagestyle{fancy}}{}{}%
|
||||
\renewcommand{\chaptername}{Anhang}%
|
||||
\renewcommand{\thesection}{\Alph{chapter}.\arabic{section}}%
|
||||
\titleformat{\chapter}[hang]{\bfseries}{\LARGE\chaptername\ \thechapter:}{0.5em}{\LARGE\bfseries}%
|
||||
\titlespacing{\chapter}{0pt}{-0.75cm}{0pt}%
|
||||
}
|
||||
|
||||
\endinput
|
||||
1
texmf/texmf.cnf
Normal file
1
texmf/texmf.cnf
Normal file
|
|
@ -0,0 +1 @@
|
|||
TEXMFHOME= {/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,{/home/dani/git/TUD_MATH_BA/texmf,~/texmf}}}}}}}}}}}}}}}}}}}}}}
|
||||
Loading…
Add table
Reference in a new issue