From 432fcb4153110564bcfa23000bce04b2f4e5d4d1 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Tue, 23 Dec 2025 14:19:03 +0100 Subject: [PATCH] Trigger build --- dist/full.tex | 1089 ------------------------------------------ dist/letter.tex | 32 -- dist/minimal.tex | 385 --------------- dist/most.tex | 1030 --------------------------------------- dist/recommended.tex | 1068 ----------------------------------------- 5 files changed, 3604 deletions(-) delete mode 100644 dist/full.tex delete mode 100644 dist/letter.tex delete mode 100644 dist/minimal.tex delete mode 100644 dist/most.tex delete mode 100644 dist/recommended.tex diff --git a/dist/full.tex b/dist/full.tex deleted file mode 100644 index fe574ad..0000000 --- a/dist/full.tex +++ /dev/null @@ -1,1089 +0,0 @@ - -% ▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄▄ ▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ -% █ █ █ █ █ █ █▄█ █ █ █ █ █ █ █ █ █ █ ▄ █ █ █ -% █ █ █ ▄ █▄ ▄█ ▄▄▄█ █ █ █▄█ █ ▄▄▄█ █ █ ▄ █ ▄▄▄█ █ █ █ █ ▄▄▄▄▄█ -% █ █ █ █▄█ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄█ █ █▄▄▄█ █▄▄█▄█ █▄▄▄▄▄ -% █ █▄▄▄█ █ █ █ █ ▄▄▄██ █ █ ▄ █ ▄▄▄█ █▄▄▄█ ▄▄▄█ ▄▄▄█ ▄▄ █▄▄▄▄▄ █ -% █ █ ▄ █ █ █ █ █▄▄▄█ ▄ █ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄▄▄▄▄█ █ -% █▄▄▄▄▄▄▄█▄█ █▄▄█ █▄▄▄█ █▄▄▄▄▄▄▄█▄▄█ █▄▄█ █▄▄█ █▄▄█▄▄▄▄▄▄▄█▄▄▄▄▄▄▄█▄▄▄█ █▄▄▄▄▄▄▄█▄▄▄█ █▄█▄▄▄▄▄▄▄█ - - -% ▄▄█▀▀▀█▄█ -% ▄██▀ ▀█ -% ██▀ ▀ ▄██▀██▄▀███▄███ ▄▄█▀██ -% ██ ██▀ ▀██ ██▀ ▀▀ ▄█▀ ██ -% ██▄ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████▄ ▀█████▀ - -% This file contains all necessary dependencies for the document to compile (at all) and some core macros - -% Imports % -\typeout{[Core] Importing!} -\usepackage[table, dvipsnames]{xcolor} -\usepackage{amsmath} -\usepackage{graphicx} -\usepackage{subcaption} -\usepackage[export]{adjustbox} -\usepackage[most]{tcolorbox} -\usepackage{cancel} -\usepackage{dsfont} -\usepackage{amssymb} -\usepackage{mathrsfs} -\usepackage{ulem} -\usepackage{soul} -\usepackage{parskip} -\usepackage{fancyhdr} -\usepackage{lastpage} -\usepackage{tocloft} -\usepackage{wasysym} -\usepackage{wrapfig} -\usepackage{multicol} -\usepackage{ifthen} -\usepackage[hidelinks]{hyperref} -\usepackage{enumitem} -\usepackage{gensymb} -\usepackage{pifont} - - -% Language Switching. Currently only English and German are supported -% See docs for how to use -\newcounter{lang} - -\newcommand{\setLang}[1]{ - \edef\lang{#1} - \edef\en{en} - \edef\de{de} - \ifx\lang\en - \typeout{[Lang Switcher] Loading English} - \setcounter{lang}{1} - \else - \ifx\lang\de - \typeout{[Lang Switcher] Loading German} - \setcounter{lang}{2} - \usepackage[ngerman]{babel} - \else - \typeout{[Lang Switcher] No such language!} - \fi - \fi -} - -\newcommand{\loadLang}{ - \ifnum\value{lang}<2{ - \typeout{[Lang Loader] Loaded English} - }\else { - \typeout{[Lang Loader] Loaded German} - \setcounter{lang}{2} - } - \fi -} - - -% Create config counters / variables. See the config file for changing them -\newcounter{numberingConfig} -\newcounter{numberSubsections} -\newcounter{descriptorShadeStrength} -\newcounter{shadeStrength} - -% Set up the latex document, configure author, title (as first argument), as well as headers and footers -\newcommand{\setup}[1]{ - \typeout{[Setup] Setting up...} - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} - \makeatletter - \makeatother - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - \fancypagestyle{plain}{% - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - } -} - -% Start document command (required) -\newcommand{\startDocument}{ - \maketitle - \startDocumentNoTitle -} - -\newcommand{\startDocumentNoTitle}{ - \pagestyle{fancy} - \thispagestyle{fancy} -} - -% Set up the latex document, only configuring the author, title and page size -\newcommand{\setupBarebones}[1]{ - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - -% Set up the latex document for exam summaries (Extra wide body, small margins, no header) -\newcommand{\setupCheatSheet}[1]{ - \loadLang - \usepackage[a4paper,textwidth=20cm,textheight=28.5cm]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Translatation │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\translate}[2]{\ifnum\value{lang}<2{#1}\else{#2}\fi} -\newcommand{\tr}[2]{\translate{#1}{#2}} - -% ┌ ┐ -% │ Translation aids (commonly used) │ -% └ ┘ -\newcommand{\trif}{\translate{if }{falls }} -\newcommand{\trIf}{\translate{If }{Falls }} -\newcommand{\trLet}{\translate{Let }{Sei }} -\newcommand{\trLets}{\translate{Let }{Seien }} -\newcommand{\trFor}{\translate{For }{Für }} -\newcommand{\trfor}{\translate{for }{für }} -\newcommand{\trand}{\translate{and }{und }} -\newcommand{\tror}{\translate{or }{oder }} -\newcommand{\trst}{\translate{s.t. }{s.d. }} -\newcommand{\trsuchthat}{\translate{such that }{so dass }} -\newcommand{\trwith}{\translate{with }{mit }} - -% ___ ___ -% ( _ \ / ___)_ -% | ( (_) _ ___ | (__ (_) __ -% | | _ / _ \/ _ \ __)| |/ _ \ -% | (_( ) (_) ) ( ) | | | | (_) | -% (____/ \___/(_) (_)_) (_)\__ | -% ( )_) | -% \___/ - -% To be loaded *after* main/core.tex - -% Configure your author name here -\newcommand{\authorTitle}{Janis Hutz\\\url{https://janishutz.com}} -\newcommand{\authorHeaders}{Janis Hutz} - -% Configure your address here -\newcommand{\name}{Janis Hutz} -\newcommand{\street}{Street} -\newcommand{\city}{City} -\newcommand{\countrycode}{CH} - - -% Configure definition, lemma, theorem, etc numbering behaviour. 1 = Individual, 2 = Combined (apart from Definition), 3 = Combined -\setcounter{numberingConfig}{1} - -% Configure if for definitions, lemmas, etc, numbering should be (0) =
. or (1) =
.. or (2) =
... -\setcounter{numberSubsections}{0} - -% Set the default language. -\setLang{en} - -% Set the default command for theorem translation -\newcommand{\theoremde}{Satz} - - -% ----- % -% STYLE % -% ----- % - -% The colour-saturation of the short / inline descriptors (default = 40) -\setcounter{descriptorShadeStrength}{40} - -% The colour-saturation of the shade command (default = 20) -\setcounter{shadeStrength}{20} - -%░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░ -%░░░ ░░░░░ ░░░░░░░░░░░░░ ░░░░░░░░░░░ -%▒ ▒▒▒▒ ▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒ -%▒▒ ▒▒▒▒▒▒▒ ▒ ▒ ▒▒▒ ▒ ▒▒▒▒ ▒▒▒▒ -%▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ -%▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ -%▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ -%███ ██████ █████ ████ ███ ███ -%██████████████████████ ███████████████████ - -% Global style configs for tcolorbox (to reduce bloat) -\newcommand{\usetcolorboxes}{ - \tcbset{ - mainboxstyle/.style={ - arc=3mm, - colback=red!5!white, - colframe=red!75!black, - colbacktitle=red!75!black, - fonttitle=\bfseries, - enhanced, - attach boxed title to top left={yshift=-2mm,xshift=5mm}, - breakable, - top=0.4cm, - } - } - \tikzset{ - overlaystyle/.style={ - draw=red!75!black, - thick, - fill=red!75!black, - left, - anchor=east, - text=white, - rounded corners=1mm, - font=\bfseries, - xshift=-5mm, - yshift=1mm, - inner xsep=3mm, - inner ysep=1.5mm - } - } -} - -% -------------------- % -% Small style elements % -% -------------------- % -\newcommand{\setFont}[1]{\fontfamily{#1}\selectfont} -\newcommand{\setFontType}[1]{ - \ifthenelse{\equal{#1}{mono}}{ - \renewcommand{\familydefault}{\ttdefault} - }{ - \ifthenelse{\equal{#1}{serif}}{ - \renewcommand{\familydefault}{\rmdefault} - }{ - \renewcommand{\familydefault}{\sfdefault} - } - } -} -\newcommand{\rmvspace}{\vspace{-0.5pc}} -\newcommand{\drmvspace}{\vspace{-1pc}} -\renewcommand{\footrulewidth}{0.4pt} -\newcommand{\TODO}{\color{red} \hl{TODO:} \color{black}} -\newcommand{\bi}[1]{\textbf{\textit{#1}}} -\renewcommand{\quote}[1]{``\textit{#1}''} - -% Add a color shade (similar to \fhlc, but nicer boxes) -\newcommand{\background}[3]{\tcbox[on line, - boxsep=2pt, - left=0pt, - right=0pt, - top=0pt, - bottom=0pt, - colframe=white, - frame empty, - colback=#1!#2!white, - highlight math style={enhanced} - ] {\textbf{#3}}} - -% Abstraction of background, where the brightness is set to 20% -\newcommand{\shade}[2]{\background{#1}{\arabic{shadeStrength}}{#2}} - -% This command is used for the short and inline descriptors -\newcommand{\bg}[2]{\background{#1}{\arabic{descriptorShadeStrength}}{#2}} - -% Add a gray backdrop -\newcommand{\backdrop}[1]{\shade{black}{#1}} - - -% Fancy highlighting (Bold, underlined, colorbox behind it. Shorthand for \fhlc{white}{#1} -\newcommand{\fhl}[1]{\fhlc{white}{#1}} - -% Add a colorbox around your text with the color specified. Text is bold and underlined -\newcommand{\fhlc}[2]{\textbf{\underline{\colorbox{#1}{#2}}}} - -% Draw box around links. First arg link, second arg display -\newcommand{\hlhref}[2]{\color{MidnightBlue}\fbox{\href{#1}{#2}}\color{black}} - -% Same for urls (just one arg tho) -\newcommand{\hlurl}[1]{\color{MidnightBlue}\fbox{\url{#1}}\color{black}} - -% Spacing (horizontal) -\newcommand{\smallhspace}{\hspace{2mm}} -\newcommand{\mediumhspace}{\hspace{5mm}} -\newcommand{\largehspace}{\hspace{1cm}} - -% ----------------- % -% Table of contents % -% ----------------- % - -% Print a table of contents as a tcolorbox -\newcommand{\printtoc}[1]{ - \renewcommand{\cfttoctitlefont}{} - \renewcommand{\cftaftertoctitle}{\vspace{-0.75cm}} - \renewcommand{\contentsname}{} - \begin{tcolorbox}[colback=black!5!white,colbacktitle=#1!75!black,coltitle=black,enhanced,attach boxed title to top center={yshift=-2mm}, - title={\Large \ifnum\value{lang}<2{Contents}\else {Inhaltsverzeichnis}\fi},fonttitle=\bfseries,breakable] - \hspace{1cm} - \tableofcontents - \end{tcolorbox} -} - -%▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ -%██░▄▄▀█▀▄▄▀█░▄▀▄░█░▄▀▄░█▀▄▄▀█░▄▄▀ -%██░████░██░█░█▄█░█░█▄█░█░██░█░██░ -%██░▀▀▄██▄▄██▄███▄█▄███▄██▄▄██▄██▄ -%▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ - -\newtcolorbox{recall}[2][]{mainboxstyle,colback=yellow!5!white,colframe=yellow!75!black,colbacktitle=yellow!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=yellow!75!black,,fill=yellow!75!black] at (frame.north east) {\large \translate{Recall }{Repetition }};},#1} - -\newtcolorbox{remarks}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Remarks }{Bemerkungen }};},#1} - -\newtcolorbox{guides}[3][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,,fill=red!75!black] at (frame.north east) {\large #3};},#1} - - -\newtcolorbox{properties}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Properties }{Eigenschaften }};},#1} - -\newtcolorbox{restrictions}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Restrictions }{Einschränkungen }};},#1} - -\newtcolorbox{limitations}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Limitations }{Limitierungen }};},#1} - -\newtcolorbox{intuition}[2][]{mainboxstyle,colback=Emerald!5!white,colframe=Emerald!75!black,colbacktitle=Emerald!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Emerald!75!black,,fill=Emerald!75!black] at (frame.north east) {\large Intuition};},#1} - -\newcommand{\inlineintuition}{\bg{Emerald}{Intuition:}} - - -% Terms and notation -\newtcolorbox{terms}[2][]{mainboxstyle,colback=orange!5!white,colframe=orange!75!black,colbacktitle=orange!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=orange!75!black,,fill=orange!75!black] at (frame.north east) {\large \translate{Terms }{Begriffe }};},#1} - -\newtcolorbox{notation}[2][]{mainboxstyle,colback=Peach!5!white,colframe=Peach!75!black,colbacktitle=Peach!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Peach!75!black,,fill=Peach!75!black] at (frame.north east) {\large Notation};},#1} - - -\newtcolorbox{usage}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Usage }{Nutzung }};},#1} - - -% Task -\newtcolorbox{task}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2},overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Task}{Aufgabe}};},#1} - - -% Proof -\newtcolorbox{proof}[2][]{mainboxstyle,colback=magenta!5!white,colframe=magenta!75!black,colbacktitle=magenta!75!black,title={\large #2},overlay={\node[overlaystyle,draw=magenta!75!black,fill=magenta!75!black] at (frame.north east) {\large \translate{Proof}{Beweis}};},#1} - - -% General -\newtcolorbox{general}[4][]{mainboxstyle,colback=#4!5!white,colframe=#4!75!black,colbacktitle=#4!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=#4!75!black,,fill=#4!75!black] at (frame.north east) {\large #3};},#1} - -% Simple -\newtcolorbox{simplebox}[2][]{colback=#2!5!white,colframe=#2!75!black,#1} - -% ▄▄ -% ▀████▄ ▄███▀ ██ ███ -% ████ ████ ██ ██ -% █ ██ ▄█ ██ ▄█▀██▄ ██████ ███████▄ -% █ ██ █▀ ██ ██ ██ ██ ██ ██ -% █ ██▄█▀ ██ ▄█████ ██ ██ ██ -% █ ▀██▀ ██ ██ ██ ██ ██ ██ -% ▄███▄ ▀▀ ▄████▄████▀██▄ ▀███████ ████▄ - - -% BB shortcuts (for number spaces, etc) -\newcommand{\A}{\mathbb{A}} -\newcommand{\B}{\mathbb{B}} -\newcommand{\C}{\mathbb{C}} -\newcommand{\D}{\mathbb{D}} -\newcommand{\E}{\mathbb{E}} -\newcommand{\F}{\mathbb{F}} -\newcommand{\G}{\mathbb{G}} -\renewcommand{\H}{\mathbb{H}} -\newcommand{\I}{\mathbb{I}} -\newcommand{\J}{\mathbb{J}} -\newcommand{\K}{\mathbb{K}} -\renewcommand{\L}{\mathbb{L}} -\newcommand{\M}{\mathbb{M}} -\newcommand{\N}{\mathbb{N}} -\renewcommand{\O}{\mathbb{O}} -\renewcommand{\P}{\mathbb{P}} -\newcommand{\Q}{\mathbb{Q}} -\newcommand{\R}{\mathbb{R}} -\renewcommand{\S}{\mathbb{S}} -\newcommand{\T}{\mathbb{T}} -\newcommand{\U}{\mathbb{U}} -\newcommand{\V}{\mathbb{V}} -\newcommand{\W}{\mathbb{W}} -\newcommand{\X}{\mathbb{X}} -\newcommand{\Y}{\mathbb{Y}} -\newcommand{\Z}{\mathbb{Z}} - -% Caligraphic -\newcommand{\cA}{\mathcal{A}} -\newcommand{\cB}{\mathcal{B}} -\newcommand{\cC}{\mathcal{C}} -\newcommand{\cD}{\mathcal{D}} -\newcommand{\cE}{\mathcal{E}} -\newcommand{\cF}{\mathcal{F}} -\newcommand{\cG}{\mathcal{G}} -\newcommand{\cH}{\mathcal{H}} -\newcommand{\cI}{\mathcal{I}} -\newcommand{\cJ}{\mathcal{J}} -\newcommand{\cK}{\mathcal{K}} -\newcommand{\cL}{\mathcal{L}} -\newcommand{\cM}{\mathcal{M}} -\newcommand{\cN}{\mathcal{N}} -\newcommand{\cO}{\mathcal{O}} -\newcommand{\cP}{\mathcal{P}} -\newcommand{\cQ}{\mathcal{Q}} -\newcommand{\cR}{\mathcal{R}} -\newcommand{\cS}{\mathcal{S}} -\newcommand{\cT}{\mathcal{T}} -\newcommand{\cU}{\mathcal{U}} -\newcommand{\cV}{\mathcal{V}} -\newcommand{\cW}{\mathcal{W}} -\newcommand{\cX}{\mathcal{X}} -\newcommand{\cY}{\mathcal{Y}} -\newcommand{\cZ}{\mathcal{Z}} - -% other useful shortcuts -\newcommand{\elementstack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}} -\newcommand{\8}{\infty} -\newcommand{\cond}{\text{cond}} -\newcommand{\argmin}[1]{\underset{#1}{\text{argmin}}} -\newcommand{\dx}{\text{ d}} -\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor} -\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil} -\newcommand{\hastoeq}{\overset{!}{=}} -\newcommand{\Leftrightarrowequiv}{\overset{\cdot}{\Leftrightarrow}} -\newcommand{\Longleftrightarrowequiv}{\overset{\cdot}{\Longleftrightarrow}} -\newcommand{\Rightarrowequiv}{\overset{\cdot}{\Rightarrow}} -\newcommand{\Leftarrowequiv}{\overset{\cdot}{\Leftarrow}} -\newcommand{\defAs}{\overset{\text{def}}{=}} -\newcommand{\der}[1]{\frac{\mbox{d}}{\mbox{d}#1}} -\newcommand{\dern}[2]{\frac{\mbox{d}^{#2}}{\mbox{d}^{#2}#1}} -\newcommand{\parder}[1]{\frac{\partial}{\partial #1}} -\newcommand{\pardern}[2]{\frac{\partial^{#2}}{\partial^{#2} #1}} -\newcommand{\defEquiv}{\overset{\text{def}}{\Leftrightarrow}} -\newcommand{\defImplies}{\overset{\text{def}}{\Rightarrow}} -\newcommand{\divides}{\hspace{0.25em}|\hspace{0.25em}} -\newcommand{\mbeq}{\overset{!}{=}} -\newcommand{\lcm}{\text{lcm}} -\newcommand{\limit}[2]{\lim_{#1 \rightarrow #2}} -\newcommand{\seq}[1]{(#1_n)_{n \geq 1}} -\newcommand{\ser}[2]{\sum_{k = 1}^{#2} #1_k} -\newcommand{\limni}{\limit{n}{\infty}} -\newcommand{\limnz}{\limit{n}{0}} -\newcommand{\limxz}{\limit{x_0}{0}} -\newcommand{\limhz}{\limit{h}{0}} -\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}} -\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}} -\DeclareMathOperator\arctanh{arctanh} -\DeclareMathOperator\arccosh{arccosh} -\DeclareMathOperator\arcsinh{arcsinh} - - -% ░▒█▀▀▄░▄▀▀▄░█▀▄▀█░▄▀▀▄░█░▒█░▀█▀░█▀▀░█▀▀▄░░░▒█▀▀▀█░█▀▄░░▀░░█▀▀░█▀▀▄░█▀▄░█▀▀ -% ░▒█░░░░█░░█░█░▀░█░█▄▄█░█░▒█░░█░░█▀▀░█▄▄▀░░░░▀▀▀▄▄░█░░░░█▀░█▀▀░█░▒█░█░░░█▀▀ -% ░▒█▄▄▀░░▀▀░░▀░░▒▀░█░░░░░▀▀▀░░▀░░▀▀▀░▀░▀▀░░░▒█▄▄▄█░▀▀▀░▀▀▀░▀▀▀░▀░░▀░▀▀▀░▀▀▀ - -% Extra imports -\usepackage{stmaryrd} -\usepackage{algorithm} -\usepackage{algpseudocodex} -\usepackage{setspace} -\usepackage{verbatim} -\usepackage{turnstile} -\usepackage{forloop} - -\newcommand{\Indent}{\hspace{\algorithmicindent}} - -\newcommand{\timecomplexity}{\fhlc{orange}{\ifnum\value{lang}<2{Time complexity}\else {Laufzeit}\fi} \hspace{0.5em}} -\newcommand{\tc}[1]{\timecomplexity $\Theta\left(#1\right)$} -\newcommand{\tct}[1]{\Theta\left(#1\right)} -\newcommand{\tco}[1]{\mathcal{O}\left(#1\right)} -\newcommand{\tcl}[1]{\Omega\left(#1\right)} -\newcommand{\wordbool}{(\Sigma_{\text{bool}})^*} -\newcommand{\words}[1]{(\Sigma_{\text{#1}})^*} -\newcommand{\word}{\Sigma^*} -\newcommand{\wordm}[1]{\Sigma_{\text{#1}}^*} -\newcommand{\alphabets}[1]{\Sigma_{\text{#1}}} -\newcommand{\alphabetbool}{\Sigma_{\text{bool}}} -\newcommand{\tR}{\text{R}} -\newcommand{\tC}{\text{C}} -\newcommand{\tN}{\text{N}} -\newcommand{\bigvdash}[2]{\sststile{#1}{#2}} -\newcommand{\class}{\text{\tr{Cl}{Kl}}} - -% ▄▄ -% ▀████▀ ▀███ -% ██ ██ -% ██ ▀████████▄ ▄█▀▀███ ▄▄█▀██▀██▀ ▀██▀ -% ██ ██ ██ ▄██ ██ ▄█▀ ██ ▀██ ▄█▀ -% ██ ██ ██ ███ ██ ██▀▀▀▀▀▀ ███ -% ██ ██ ██ ▀██ ██ ██▄ ▄ ▄█▀ ██▄ -% ▄████▄████ ████▄ ▀████▀███▄ ▀█████▀██▄ ▄██▄ - - -% For using index package -\newcommand{\prepareIndex}{ - \usepackage[T1]{fontenc} - \usepackage{imakeidx} - \makeindex -} - -\newcommand{\addIndexBold}[1]{\textbf{\index{\MakeLowercase{#1}} #1}} -\newcommand{\addIndexItalic}[1]{\textit{\index{\MakeLowercase{#1}} #1}} -\newcommand{\addIndex}[1]{\index{\MakeLowercase{#1}} #1} - - - -% ▄▄· ▄• ▄▌ ▐ ▄ ▄▄▄▄▄▄▄▄ .▄▄▄ -% ▐█ ▌▪ ▄█▀▄ █▪██▌•█▌▐█•██ ▀▄.▀·▀▄ █· -% ██ ▄▄▐█▌.▐▌█▌▐█▌▐█▐▐▌ ▐█.▪▐▀▀▪▄▐▀▀▄ -% ▐███▌▐█▌.▐▌▐█▄█▌██▐█▌ ▐█▌·▐█▄▄▌▐█•█▌ -% ·▀▀▀ ▀█▄▀▪ ▀▀▀ ▀▀ █▪ ▀▀▀ ▀▀▀ .▀ ▀ - -\usepackage{xstring} -\usepackage{etoolbox} -% tcolorbox and other stylistic elements (i.e. inline versions of them) that have counters -\newcounter{lemma}[section] -\newcounter{definition}[section] -\newcounter{corollary}[section] -\newcounter{theorem}[section] -\newcounter{axiom}[section] -\newcounter{example}[section] -\newcounter{fact}[section] -\newcounter{proposition}[section] -\newcounter{formula}[section] -\newcounter{remark}[section] -\newcounter{all}[section] - -\newcounter{lemmass}[subsection] -\newcounter{definitionss}[subsection] -\newcounter{corollaryss}[subsection] -\newcounter{theoremss}[subsection] -\newcounter{axiomss}[subsection] -\newcounter{exampless}[subsection] -\newcounter{factss}[subsection] -\newcounter{propositionss}[subsection] -\newcounter{formulass}[subsection] -\newcounter{remarkss}[subsection] -\newcounter{allss}[subsection] - -\newcounter{lemmasss}[subsubsection] -\newcounter{definitionsss}[subsubsection] -\newcounter{corollarysss}[subsubsection] -\newcounter{theoremsss}[subsubsection] -\newcounter{axiomsss}[subsubsection] -\newcounter{examplesss}[subsubsection] -\newcounter{factsss}[subsubsection] -\newcounter{propositionsss}[subsubsection] -\newcounter{formulasss}[subsubsection] -\newcounter{remarksss}[subsubsection] -\newcounter{allsss}[subsubsection] - -% Set the current number of a label -\newcommand{\setLabelNumber}[2]{% - \setcounter{#1}{#2}% - \addtocounter{#1}{-1}% - \setcounter{#1ss}{#2}% - \addtocounter{#1ss}{-1}% - \setcounter{#1sss}{#2}% - \addtocounter{#1sss}{-1}% -} - -\newcommand{\stepLabelNumber}[1]{% - \stepcounter{#1}% - \stepcounter{#1ss}% - \stepcounter{#1sss}% -} - -\newcommand{\printcounter}[1]{% - \csname the#1\endcsname -} - -\newcommand{\suffix}{ss} -\newcommand{\sectionNumbering}{\thesection} - -% ┌ ┐ -% │ Counter numbering │ -% └ ┘ -\newcommand{\preTableAndFigHook}[1]{% - \ifnum\value{numberingConfig}>1 - \ifnum\value{numberSubsections}=1 - \stepcounter{allss} - \else - \ifnum\value{numberSubsections}=2 - \stepcounter{allsss} - \else - \stepcounter{all} - \fi - \fi - \fi -} -\AtBeginEnvironment{table}{\preTableAndFigHook{table}} -\AtBeginEnvironment{figure}{\preTableAndFigHook{figure}} - -\newcommand{\applyTableAndFigureNumbering}{ - % Tables & Figures - \ifnum\value{numberingConfig}=0 - \renewcommand{\thetable}{} - \renewcommand{\thefigure}{} - \else - \ifnum\value{numberingConfig}=1 - \renewcommand{\thetable}{\sectionNumbering.\arabic{table}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{figure}} - \else - \ifnum\value{numberSubsections}=1 - \renewcommand{\thetable}{\sectionNumbering.\arabic{allss}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{allss}} - \else - \ifnum\value{numberSubsections}=2 - \renewcommand{\thetable}{\refstepcounter{allsss}\sectionNumbering.\arabic{allsss}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{allsss}} - \else - \renewcommand{\thetable}{\sectionNumbering.\arabic{all}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{all}} - \fi - \fi - \fi - \fi -} - -\newcommand{\setSubsectionNumbering}[1]{ - \setcounter{numberSubsections}{#1} - \applySubsectionNumbering -} - -\newcommand{\applySubsectionNumbering}{ - \ifnum\value{numberSubsections}=1 - \renewcommand{\sectionNumbering}{\thesubsection} - \renewcommand{\suffix}{ss} - \typeout{Numbering as section.subsection.number} - \else - \ifnum\value{numberSubsections}=2 - \renewcommand{\sectionNumbering}{\thesubsubsection} - \renewcommand{\suffix}{sss} - \typeout{Numbering as section.subsection.subsubsection.number} - \else - \renewcommand{\sectionNumbering}{\thesection} - \renewcommand{\suffix}{} - \typeout{Numbering as section.number} - \fi - \fi - \applyTableAndFigureNumbering - - \renewcommand{\thelemma}{\sectionNumbering.\arabic{lemma}} - \renewcommand{\thedefinition}{\sectionNumbering.\arabic{definition}} - \renewcommand{\thecorollary}{\sectionNumbering.\arabic{corollary}} - \renewcommand{\thetheorem}{\sectionNumbering.\arabic{theorem}} - \renewcommand{\theaxiom}{\sectionNumbering.\arabic{axiom}} - \renewcommand{\theexample}{\sectionNumbering.\arabic{example}} - \renewcommand{\thefact}{\sectionNumbering.\arabic{fact}} - \renewcommand{\theproposition}{\sectionNumbering.\arabic{proposition}} - \renewcommand{\theformula}{\sectionNumbering.\arabic{formula}} - \renewcommand{\theremark}{\sectionNumbering.\arabic{remark}} - \renewcommand{\theall}{\sectionNumbering.\arabic{all}} - - \renewcommand{\thelemmass}{\sectionNumbering.\arabic{lemmass}} - \renewcommand{\thedefinitionss}{\sectionNumbering.\arabic{definitionss}} - \renewcommand{\thecorollaryss}{\sectionNumbering.\arabic{corollaryss}} - \renewcommand{\thetheoremss}{\sectionNumbering.\arabic{theoremss}} - \renewcommand{\theaxiomss}{\sectionNumbering.\arabic{axiomss}} - \renewcommand{\theexampless}{\sectionNumbering.\arabic{exampless}} - \renewcommand{\thefactss}{\sectionNumbering.\arabic{factss}} - \renewcommand{\thepropositionss}{\sectionNumbering.\arabic{propositionss}} - \renewcommand{\theformulass}{\sectionNumbering.\arabic{formulass}} - \renewcommand{\theremarkss}{\sectionNumbering.\arabic{remarkss}} - \renewcommand{\theallss}{\sectionNumbering.\arabic{allss}} - - \renewcommand{\thelemmasss}{\sectionNumbering.\arabic{lemmasss}} - \renewcommand{\thedefinitionsss}{\sectionNumbering.\arabic{definitionsss}} - \renewcommand{\thecorollarysss}{\sectionNumbering.\arabic{corollarysss}} - \renewcommand{\thetheoremsss}{\sectionNumbering.\arabic{theoremsss}} - \renewcommand{\theaxiomsss}{\sectionNumbering.\arabic{axiomsss}} - \renewcommand{\theexamplesss}{\sectionNumbering.\arabic{examplesss}} - \renewcommand{\thefactsss}{\sectionNumbering.\arabic{factsss}} - \renewcommand{\thepropositionsss}{\sectionNumbering.\arabic{propositionsss}} - \renewcommand{\theformulasss}{\sectionNumbering.\arabic{formulasss}} - \renewcommand{\theremarksss}{\sectionNumbering.\arabic{remarksss}} - \renewcommand{\theallsss}{\sectionNumbering.\arabic{allsss}} -} -\applySubsectionNumbering - -% ── Label generation ──────────────────────────────────────────────── -\newcommand{\labelSectionGeneration}{% - \ifnum\value{numberSubsections}=1 - \arabic{section}-\arabic{subsection}% - \else - \ifnum\value{numberSubsections}=2 - \arabic{section}-\arabic{subsection}-\arabic{subsubsection}% - \else - \arabic{section}% - \fi - \fi} - -\newcommand{\labelIt}[1]{\refstepcounter{#1\suffix}\edef\tempLabel{\genLabel{#1}{\arabic{#1\suffix}}}\label{\tempLabel}} -\newcommand{\genLabel}[2]{#1:\labelSectionGeneration-#2} - -% ┌ ┐ -% │ Number the counters appropriately │ -% └ ┘ -\newcommand{\usenumberArabic}[1]{% - \ifnum\value{numberingConfig}=1 - \labelIt{#1} - \printcounter{#1\suffix}% - \else - \ifnum\value{numberingConfig}=2 - \ifthenelse{\equal{#1}{definitions}}{% - \labelIt{definition} - \printcounter{definition\suffix}% - }{% - \labelIt{all} - \printcounter{all\suffix}% - }% - \else - \ifnum\value{numberingConfig}=3 - \labelIt{all} - \printcounter{all\suffix}% - \else - \relax% - \fi - \fi - \fi} - - -% ──────────────────────────────────────────────────────────────────── -% ┌ ┐ -% │ Enable or disable numbering │ -% └ ┘ -% Initialize with config file -\newcounter{numberingConfigStore} -\setcounter{numberingConfigStore}{\value{numberingConfig}} - -% For later change -\newcommand{\setNumberingStyle}[1]{ - \typeout{Setting NumberingStyle to #1} - \setcounter{numberingConfig}{#1} - \ifthenelse{\equal{#1}{0}}{}{ - \setcounter{numberingConfigStore}{#1} - } - \applyTableAndFigureNumbering -} - -% Enable / disable numbering -\newcommand{\numberingOff}{ - \setcounter{numberingConfig}{0} - \applyTableAndFigureNumbering -} -\newcommand{\numberingOn}{ - \setcounter{numberingConfig}{\value{numberingConfigStore}} - \applyTableAndFigureNumbering -} - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Reset definition, lemma, etc counters, add a │ -% │ new page │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\newsection}{ - \newpage - \newsectionNoPB -} - -% ── Reset definitions, lemma, etc counters, do not add new page ───── -\newcommand{\newsectionNoPB}{ - \setcounter{lemma}{0} - \setcounter{definition}{0} - \setcounter{corollary}{0} - \setcounter{theorem}{0} - \setcounter{axiom}{0} - \setcounter{example}{0} - \setcounter{fact}{0} - \setcounter{proposition}{0} - \setcounter{formula}{0} - \setcounter{remark}{0} - \setcounter{all}{0} - - \setcounter{lemmass}{0} - \setcounter{definitionss}{0} - \setcounter{corollaryss}{0} - \setcounter{theoremss}{0} - \setcounter{axiomss}{0} - \setcounter{exampless}{0} - \setcounter{factss}{0} - \setcounter{propositionss}{0} - \setcounter{formulass}{0} - \setcounter{remarkss}{0} - \setcounter{allss}{0} - - \setcounter{lemmasss}{0} - \setcounter{definitionsss}{0} - \setcounter{corollarysss}{0} - \setcounter{theoremsss}{0} - \setcounter{axiomsss}{0} - \setcounter{examplesss}{0} - \setcounter{factsss}{0} - \setcounter{propositionsss}{0} - \setcounter{formulasss}{0} - \setcounter{remarksss}{0} - \setcounter{allsss}{0} - - % Tables & Figures - \setcounter{table}{0} - \setcounter{figure}{0} -} -\newsectionNoPB % Initializes - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Tcolorboxes │ -% ╰────────────────────────────────────────────────╯ -% ──────────────────────────────────────────────────────────────────── - -% Definitions -\newtcolorbox{definition}[2][]{mainboxstyle,colback=blue!5!white,colframe=blue!75!black,colbacktitle=blue!75!black,title={\large #2},overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large Definition\usenumberArabic{definition}};},#1} - -% Theorems -\newtcolorbox{theorem}[2][]{mainboxstyle,colback=ForestGreen!5!white,colframe=ForestGreen!75!black,colbacktitle=ForestGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=ForestGreen!75!black,fill=ForestGreen!75!black] at (frame.north east) {\large \translate{Theorem}{\theoremde}\usenumberArabic{theorem}};},#1} - -% Lemmas -\newtcolorbox{lemma}[2][]{mainboxstyle,colback=Aquamarine!5!white,colframe=Aquamarine!75!black,colbacktitle=Aquamarine!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Aquamarine!75!black,fill=Aquamarine!75!black] at (frame.north east) {\large Lemma\usenumberArabic{lemma}};},#1} - -% Corollaries -\newtcolorbox{corollary}[2][]{mainboxstyle,colback=teal!5!white,colframe=teal!75!black,colbacktitle=teal!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=teal!75!black,fill=teal!75!black] at (frame.north east) {\large \translate{Corollary}{Korollar}\usenumberArabic{corollary}};},#1} - -% Axioms -\newtcolorbox{axiom}[2][]{mainboxstyle,colback=JungleGreen!5!white,colframe=JungleGreen!75!black,colbacktitle=JungleGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=JungleGreen!75!black,fill=JungleGreen!75!black] at (frame.north east) {\large Axiom\usenumberArabic{axiom}};},#1} - -% Facts -\newtcolorbox{fact}[2][]{mainboxstyle,colback=SeaGreen!5!white,colframe=SeaGreen!75!black,colbacktitle=SeaGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=SeaGreen!75!black,fill=SeaGreen!75!black] at (frame.north east) {\large \translate{Fact}{Fakt}\usenumberArabic{fact}};},#1} - -% Propositions -\newtcolorbox{proposition}[2][]{mainboxstyle,colback=Cyan!5!white,colframe=Cyan!75!black,colbacktitle=Cyan!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Cyan!75!black,fill=Cyan!75!black] at (frame.north east) {\large Proposition\usenumberArabic{proposition}};},#1} - -% Examples -\newtcolorbox{example}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Example}{Beispiel}\usenumberArabic{example}};},#1} - -% Formula -\newtcolorbox{formula}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Formula}{Formel}\usenumberArabic{formula}};},#1} - -% Remark -\newtcolorbox{remark}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,fill=green!75!black] at (frame.north east) {\large \translate{Remark}{Bemerkung} \usenumberArabic{remark}};},#1} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Inline environments │ -% ╰────────────────────────────────────────────────╯ -% ──────────────────────────────────────────────────────────────────── - - -% Inline environments (inline) -\newcommand{\inlineex}{\bg{gray}{\translate{Example}{Beispiel}\usenumberArabic{example}:}} -\newcommand{\inlinedef}{\bg{blue}{Definition\usenumberArabic{definition}:}} -\newcommand{\inlineformula}{\bg{red}{\translate{Formula}{Formel}\usenumberArabic{formula}:}} -\newcommand{\inlinelemma}{\bg{Aquamarine}{Lemma\usenumberArabic{lemma}:}} -\newcommand{\inlinetheorem}{\bg{ForestGreen}{\translate{Theorem}{\theoremde}\usenumberArabic{theorem}:}} -\newcommand{\inlineaxiom}{\bg{JungleGreen}{Axiom\usenumberArabic{axiom}:}} -\newcommand{\inlinecorollary}{\bg{teal}{\translate{Corollary}{Korollar}\usenumberArabic{corollary}:}} -\newcommand{\inlinefact}{\bg{SeaGreen}{\translate{Fact}{Fakt}\usenumberArabic{fact}:}} -\newcommand{\inlineproposition}{\bg{Cyan}{Proposition\usenumberArabic{proposition}:}} -\newcommand{\inlineremark}{\bg{green}{\translate{Remark}{Bemerkung}\usenumberArabic{remark}:}} -\newcommand{\inlineproof}{\bg{magenta}{\translate{Proof}{Beweis}:}} - -% Enhanced inline environments -\newcommand{\fancyex}[1]{\bg{gray}{\translate{Example}{Beispiel}\usenumberArabic{example}:} \textit{(#1)}} -\newcommand{\fancydef}[1]{\bg{blue}{Definition\usenumberArabic{definition}:} \textit{(#1)}} -\newcommand{\fancyformula}[1]{\bg{red}{\translate{Formula}{Formel}\usenumberArabic{formula}:} \textit{(#1)}} -\newcommand{\fancylemma}[1]{\bg{Aquamarine}{Lemma\usenumberArabic{lemma}:} \textit{(#1)}} -\newcommand{\fancytheorem}[1]{\bg{ForestGreen}{\translate{Theorem}{\theoremde}\usenumberArabic{theorem}:} \textit{(#1)}} -\newcommand{\fancyaxiom}[1]{\bg{JungleGreen}{Axiom\usenumberArabic{axiom}:} \textit{(#1)}} -\newcommand{\fancycorollary}[1]{\bg{teal}{\translate{Corollary}{Korollar}\usenumberArabic{corollary}:} \textit{(#1)}} -\newcommand{\fancyfact}[1]{\bg{SeaGreen}{\translate{Fact}{Fakt}\usenumberArabic{fact}:} \textit{(#1)}} -\newcommand{\fancyproposition}[1]{\bg{Cyan}{Proposition\usenumberArabic{proposition}:} \textit{(#1)}} -\newcommand{\fancyremark}[1]{\bg{green}{\translate{Remark}{Bemerkung}\usenumberArabic{remark}:} \textit{(#1)}} -\newcommand{\fancyproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}} - -% short environments (abbreviated) -\newcommand{\shortex}{\bg{gray}{\translate{Ex}{Bsp}\usenumberArabic{example}:}} -\newcommand{\shortdef}{\bg{blue}{D\usenumberArabic{definition}:}} -\newcommand{\short}{\bg{red}{F\usenumberArabic{formula}:}} -\newcommand{\shortlemma}{\bg{Aquamarine}{L\usenumberArabic{lemma}:}} -\newcommand{\shorttheorem}{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}}\usenumberArabic{theorem}:}} -\newcommand{\shortaxiom}{\bg{JungleGreen}{A\usenumberArabic{axiom}:}} -\newcommand{\shortcorollary}{\bg{teal}{\translate{C}{K}\usenumberArabic{corollary}:}} -\newcommand{\shortfact}{\bg{SeaGreen}{F\usenumberArabic{fact}:}} -\newcommand{\shortproposition}{\bg{Cyan}{P\usenumberArabic{proposition}:}} -\newcommand{\shortremark}{\bg{green}{\tr{R}{B}\usenumberArabic{remark}:}} -\newcommand{\shortproof}{\bg{magenta}{\translate{Proof}{Beweis}:}} - -% Enhanced short environments (abbreviated) -\newcommand{\compactex}[1]{\bg{gray}{\translate{Ex}{Bsp}\usenumberArabic{example}:} \textit{(#1)}} -\newcommand{\compactdef}[1]{\bg{blue}{D\usenumberArabic{definition}:} \textit{(#1)}} -\newcommand{\compactformula}[1]{\bg{red}{F\usenumberArabic{formula}:} \textit{(#1)}} -\newcommand{\compactlemma}[1]{\bg{Aquamarine}{L\usenumberArabic{lemma}:} \textit{(#1)}} -\newcommand{\compacttheorem}[1]{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}} \usenumberArabic{theorem}:} \textit{(#1)}} -\newcommand{\compactaxiom}[1]{\bg{JungleGreen}{A\usenumberArabic{axiom}:} \textit{(#1)}} -\newcommand{\compactcorollary}[1]{\bg{teal}{\translate{C}{K}\usenumberArabic{corollary}:} \textit{(#1)}} -\newcommand{\compactfact}[1]{\bg{SeaGreen}{F\usenumberArabic{fact}:} \textit{(#1)}} -\newcommand{\compactproposition}[1]{\bg{Cyan}{P\usenumberArabic{proposition}:} \textit{(#1)}} -\newcommand{\compactremark}[1]{\bg{green}{\tr{R}{B}\usenumberArabic{remark}:} \textit{(#1)}} -\newcommand{\compactproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}} - -% ▄▄ -% ▄▄█▀▀▀█▄█ ██ ▄█▀▀▀█▄█ ██ -% ▄██▀ ▀█ ██ ▄██ ▀█ -% ██▀ ▀ ▄██▀██▄▀████████▄█████▄ ▀████████▄▀███ ▀███ ██████ ▄▄█▀██▀███▄███ ▀███▄ ▄██▀██▀███ ▄▄█▀██▀████████▄ ▄██▀██ ▄▄█▀██ -% ██ ██▀ ▀██ ██ ██ ██ ██ ▀██ ██ ██ ██ ▄█▀ ██ ██▀ ▀▀ ▀█████▄█▀ ██ ██ ▄█▀ ██ ██ ██ ██▀ ██ ▄█▀ ██ -% ██▄ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██▀▀▀▀▀▀ ██ ▄ ▀███ ██ ██▀▀▀▀▀▀ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██ ██ ██ ▄██ ██ ██ ██ ██▄ ▄ ██ ██ ███▄ ▄ ██ ██▄ ▄ ██ ██ ██▄ ▄██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████ ████ ████▄ ██████▀ ▀████▀███▄ ▀████ ▀█████▀████▄ █▀█████▀ █████▀▄████▄ ▀█████▀████ ████▄█████▀ ▀█████▀ -% ██ -% ▄████▄ - -\usepackage{forest} -\tikzset{algpxIndentLine/.style={draw=lightgray}} -\algrenewcommand{\alglinenumber}[1]{#1} - -\newenvironment{algo}[1]{ - \begin{algorithm} - \begin{spacing}{1.2} - \caption{\textsc{#1}} - \begin{algorithmic}[1] - }{ - \end{algorithmic} - \end{spacing} - \end{algorithm} -} - -% • ▌ ▄ ·. ▄▄▄· ▄▄▄▄▄ ▄ .▄ .▄▄ · ▄▄▄▄▄ ▄· ▄▌▄▄▌ ▄▄▄ . -% ·██ ▐███▪▐█ ▀█ •██ ██▪▐█ ▐█ ▀. •██ ▐█▪██▌██• ▀▄.▀· -% ▐█ ▌▐▌▐█·▄█▀▀█ ▐█.▪██▀▀█ ▄▀▀▀█▄ ▐█.▪▐█▌▐█▪██ ▪ ▐▀▀▪▄ -% ██ ██▌▐█▌▐█▪ ▐▌ ▐█▌·██▌▐▀ ▐█▄▪▐█ ▐█▌· ▐█▀·.▐█▌ ▄▐█▄▄▌ -% ▀▀ █▪▀▀▀ ▀ ▀ ▀▀▀ ▀▀▀ · ▀▀▀▀ ▀▀▀ ▀ • .▀▀▀ ▀▀▀ - -% Replace some commonly used commands with better ones -\renewcommand{\vec}[1]{\overrightarrow{#1}} -\renewcommand{\hat}[1]{\widehat{#1}} -\renewcommand{\tilde}[1]{\widetilde{#1}} -\newcommand{\proven}{$\hspace{17cm}\square$} - - -% ░█▒░▒▄▀▄░█▄░█░▄▀▒░█▒█▒▄▀▄░▄▀▒▒██▀░░░▄▀▀░▀█▀░▀▄▀░█▒░▒██▀ -% ▒█▄▄░█▀█░█▒▀█░▀▄█░▀▄█░█▀█░▀▄█░█▄▄▒░▒▄██░▒█▒░▒█▒▒█▄▄░█▄▄ - -% Specific styles for language summaries and docs -\newtcolorbox{conjugation}[2][]{mainboxstyle,colback=blue!5!white,colframe=blue!75!black,colbacktitle=blue!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large \translate{Conjugation}{Konjugation}};},#1} - -\newtcolorbox{forms}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Forms}{Formen}};},#1} - -% _____ _ _ -% (_ _) ( ) (_ ) -% | | _ _| |_ | | __ ___ -% | | / _ ) _ \ | | / __ \ __) -% | | ( (_| | |_) )| |( ___/__ \ -% (_) \__ _)_ __/(___)\____)____/ - - -\usepackage{booktabs} - -% Create new table. #1 Layout, #2 title row -\newenvironment{tables}[2]{ - \begin{center} - \begin{tabular}{#1} - \toprule - #2 \\ - \midrule - }{ - \bottomrule - \end{tabular} - \end{center} -} - -% Create new table in table env. #1 layout, #2 title row, #3 caption -\newenvironment{fullTable}[3]{ - \edef\tableCaption{#3} - \begin{table}[h!] - \begin{tables}{#1}{#2} - }{ - \end{tables} - \caption{\tableCaption} - \end{table} -} - -% ___ _ _____ _ _ -% ( _ \ _( ) (_ _) ( ) ( ) -% | (_) )_) |_ | | __ \ \/ / -% | _ (| | _ \ | | / __ \ ) ( -% | (_) ) | |_) ) | | ( ___// /\ \ -% (____/(_)_ __/ (_) \____)_) (_) - -% Configs if you want to use BibTeX. Not included in any default configs. - -\newcommand{\setupBibtex}[1]{ - \usepackage{biblatex} - \usepackage[nottoc, numbib]{tocbibind} - \addbibresource{#1} -} - -\newcommand{\printbib}{ - \addcontentsline{toc}{section}{\translate{Sources}{Quellen}} - \printbibliography[title=\translate{Sources}{Quellen}] -} - - -%░▒█▀▀█░█░░▄▀▀▄░█▀▀░█▀▀░█▀▀▄░█▀▀▄░█░░█ -%░▒█░▄▄░█░░█░░█░▀▀▄░▀▀▄░█▄▄█░█▄▄▀░█▄▄█ -%░▒█▄▄▀░▀▀░░▀▀░░▀▀▀░▀▀▀░▀░░▀░▀░▀▀░▄▄▄▀ - -% Add glossaries functionality - -\newcommand{\setupGlossary}{ - \usepackage[nonumberlist, toc]{glossaries} - \usepackage[nottoc, numbib]{tocbibind} - \makenoidxglossaries -} - -\newcommand{\printGlossary}{ - \glsaddall - \printnoidxglossaries -} - -% ┌ ┐ -% │ Minted │ -% └ ┘ -\usepackage{minted} -\usepackage{fancyvrb} - -\newcommand{\inlinecode}[1]{\shade{gray}{\texttt{#1}}} - -\newenvironment{code}[1]{ - \VerbatimEnvironment - \begin{minted}[ - autogobble, - breaklines, - breakindentnchars=2, - frame=lines, - framesep=2mm, - mathescape, - baselinestretch=1.1, - linenos]{#1}} -{\end{minted}} diff --git a/dist/letter.tex b/dist/letter.tex deleted file mode 100644 index 681290b..0000000 --- a/dist/letter.tex +++ /dev/null @@ -1,32 +0,0 @@ -\usepackage[utf8]{inputenc} -\usepackage[T1]{fontenc} - -\setkomavar{date}{\city, \today} - -\newkomavar{fromplace} % a few koma vars -\setkomavar{fromname}{\name} -\setkomavar{fromaddress}{\street} -\setkomavar{fromplace}{\countrycode -\city} - -\KOMAoptions{foldmarks=off,fromrule=false} -\setkomavar{backaddress}{} - -\makeatletter % indention of the address fields -\setplength{toaddrhpos}{27mm} -\setplength{toaddrwidth}{92mm} -\setplength{sigindent}{0mm} -\makeatother - -\renewcommand*{\raggedsignature}{\raggedright} - -% Define new letter header -\setkomavar{firsthead}{ - \null\hfill - \parbox[t][\headheight][t]{4cm}{% - \vspace*{2cm} - - \usekomavar{fromname} \newline - \usekomavar{fromaddress} \newline - \usekomavar{fromplace} - } -}% diff --git a/dist/minimal.tex b/dist/minimal.tex deleted file mode 100644 index e67f583..0000000 --- a/dist/minimal.tex +++ /dev/null @@ -1,385 +0,0 @@ - -% ▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄▄ ▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ -% █ █ █ █ █ █ █▄█ █ █ █ █ █ █ █ █ █ █ ▄ █ █ █ -% █ █ █ ▄ █▄ ▄█ ▄▄▄█ █ █ █▄█ █ ▄▄▄█ █ █ ▄ █ ▄▄▄█ █ █ █ █ ▄▄▄▄▄█ -% █ █ █ █▄█ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄█ █ █▄▄▄█ █▄▄█▄█ █▄▄▄▄▄ -% █ █▄▄▄█ █ █ █ █ ▄▄▄██ █ █ ▄ █ ▄▄▄█ █▄▄▄█ ▄▄▄█ ▄▄▄█ ▄▄ █▄▄▄▄▄ █ -% █ █ ▄ █ █ █ █ █▄▄▄█ ▄ █ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄▄▄▄▄█ █ -% █▄▄▄▄▄▄▄█▄█ █▄▄█ █▄▄▄█ █▄▄▄▄▄▄▄█▄▄█ █▄▄█ █▄▄█ █▄▄█▄▄▄▄▄▄▄█▄▄▄▄▄▄▄█▄▄▄█ █▄▄▄▄▄▄▄█▄▄▄█ █▄█▄▄▄▄▄▄▄█ - - -% ▄▄█▀▀▀█▄█ -% ▄██▀ ▀█ -% ██▀ ▀ ▄██▀██▄▀███▄███ ▄▄█▀██ -% ██ ██▀ ▀██ ██▀ ▀▀ ▄█▀ ██ -% ██▄ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████▄ ▀█████▀ - -% This file contains all necessary dependencies for the document to compile (at all) and some core macros - -% Imports % -\typeout{[Core] Importing!} -\usepackage[table, dvipsnames]{xcolor} -\usepackage{amsmath} -\usepackage{graphicx} -\usepackage{subcaption} -\usepackage[export]{adjustbox} -\usepackage[most]{tcolorbox} -\usepackage{cancel} -\usepackage{dsfont} -\usepackage{amssymb} -\usepackage{mathrsfs} -\usepackage{ulem} -\usepackage{soul} -\usepackage{parskip} -\usepackage{fancyhdr} -\usepackage{lastpage} -\usepackage{tocloft} -\usepackage{wasysym} -\usepackage{wrapfig} -\usepackage{multicol} -\usepackage{ifthen} -\usepackage[hidelinks]{hyperref} -\usepackage{enumitem} -\usepackage{gensymb} -\usepackage{pifont} - - -% Language Switching. Currently only English and German are supported -% See docs for how to use -\newcounter{lang} - -\newcommand{\setLang}[1]{ - \edef\lang{#1} - \edef\en{en} - \edef\de{de} - \ifx\lang\en - \typeout{[Lang Switcher] Loading English} - \setcounter{lang}{1} - \else - \ifx\lang\de - \typeout{[Lang Switcher] Loading German} - \setcounter{lang}{2} - \usepackage[ngerman]{babel} - \else - \typeout{[Lang Switcher] No such language!} - \fi - \fi -} - -\newcommand{\loadLang}{ - \ifnum\value{lang}<2{ - \typeout{[Lang Loader] Loaded English} - }\else { - \typeout{[Lang Loader] Loaded German} - \setcounter{lang}{2} - } - \fi -} - - -% Create config counters / variables. See the config file for changing them -\newcounter{numberingConfig} -\newcounter{numberSubsections} -\newcounter{descriptorShadeStrength} -\newcounter{shadeStrength} - -% Set up the latex document, configure author, title (as first argument), as well as headers and footers -\newcommand{\setup}[1]{ - \typeout{[Setup] Setting up...} - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} - \makeatletter - \makeatother - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - \fancypagestyle{plain}{% - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - } -} - -% Start document command (required) -\newcommand{\startDocument}{ - \maketitle - \startDocumentNoTitle -} - -\newcommand{\startDocumentNoTitle}{ - \pagestyle{fancy} - \thispagestyle{fancy} -} - -% Set up the latex document, only configuring the author, title and page size -\newcommand{\setupBarebones}[1]{ - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - -% Set up the latex document for exam summaries (Extra wide body, small margins, no header) -\newcommand{\setupCheatSheet}[1]{ - \loadLang - \usepackage[a4paper,textwidth=20cm,textheight=28.5cm]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Translatation │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\translate}[2]{\ifnum\value{lang}<2{#1}\else{#2}\fi} -\newcommand{\tr}[2]{\translate{#1}{#2}} - -% ┌ ┐ -% │ Translation aids (commonly used) │ -% └ ┘ -\newcommand{\trif}{\translate{if }{falls }} -\newcommand{\trIf}{\translate{If }{Falls }} -\newcommand{\trLet}{\translate{Let }{Sei }} -\newcommand{\trLets}{\translate{Let }{Seien }} -\newcommand{\trFor}{\translate{For }{Für }} -\newcommand{\trfor}{\translate{for }{für }} -\newcommand{\trand}{\translate{and }{und }} -\newcommand{\tror}{\translate{or }{oder }} -\newcommand{\trst}{\translate{s.t. }{s.d. }} -\newcommand{\trsuchthat}{\translate{such that }{so dass }} -\newcommand{\trwith}{\translate{with }{mit }} - -% ___ ___ -% ( _ \ / ___)_ -% | ( (_) _ ___ | (__ (_) __ -% | | _ / _ \/ _ \ __)| |/ _ \ -% | (_( ) (_) ) ( ) | | | | (_) | -% (____/ \___/(_) (_)_) (_)\__ | -% ( )_) | -% \___/ - -% To be loaded *after* main/core.tex - -% Configure your author name here -\newcommand{\authorTitle}{Janis Hutz\\\url{https://janishutz.com}} -\newcommand{\authorHeaders}{Janis Hutz} - -% Configure your address here -\newcommand{\name}{Janis Hutz} -\newcommand{\street}{Street} -\newcommand{\city}{City} -\newcommand{\countrycode}{CH} - - -% Configure definition, lemma, theorem, etc numbering behaviour. 1 = Individual, 2 = Combined (apart from Definition), 3 = Combined -\setcounter{numberingConfig}{1} - -% Configure if for definitions, lemmas, etc, numbering should be (0) =
. or (1) =
.. or (2) =
... -\setcounter{numberSubsections}{0} - -% Set the default language. -\setLang{en} - -% Set the default command for theorem translation -\newcommand{\theoremde}{Satz} - - -% ----- % -% STYLE % -% ----- % - -% The colour-saturation of the short / inline descriptors (default = 40) -\setcounter{descriptorShadeStrength}{40} - -% The colour-saturation of the shade command (default = 20) -\setcounter{shadeStrength}{20} - -%░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░ -%░░░ ░░░░░ ░░░░░░░░░░░░░ ░░░░░░░░░░░ -%▒ ▒▒▒▒ ▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒ -%▒▒ ▒▒▒▒▒▒▒ ▒ ▒ ▒▒▒ ▒ ▒▒▒▒ ▒▒▒▒ -%▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ -%▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ -%▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ -%███ ██████ █████ ████ ███ ███ -%██████████████████████ ███████████████████ - -% Global style configs for tcolorbox (to reduce bloat) -\newcommand{\usetcolorboxes}{ - \tcbset{ - mainboxstyle/.style={ - arc=3mm, - colback=red!5!white, - colframe=red!75!black, - colbacktitle=red!75!black, - fonttitle=\bfseries, - enhanced, - attach boxed title to top left={yshift=-2mm,xshift=5mm}, - breakable, - top=0.4cm, - } - } - \tikzset{ - overlaystyle/.style={ - draw=red!75!black, - thick, - fill=red!75!black, - left, - anchor=east, - text=white, - rounded corners=1mm, - font=\bfseries, - xshift=-5mm, - yshift=1mm, - inner xsep=3mm, - inner ysep=1.5mm - } - } -} - -% -------------------- % -% Small style elements % -% -------------------- % -\newcommand{\setFont}[1]{\fontfamily{#1}\selectfont} -\newcommand{\setFontType}[1]{ - \ifthenelse{\equal{#1}{mono}}{ - \renewcommand{\familydefault}{\ttdefault} - }{ - \ifthenelse{\equal{#1}{serif}}{ - \renewcommand{\familydefault}{\rmdefault} - }{ - \renewcommand{\familydefault}{\sfdefault} - } - } -} -\newcommand{\rmvspace}{\vspace{-0.5pc}} -\newcommand{\drmvspace}{\vspace{-1pc}} -\renewcommand{\footrulewidth}{0.4pt} -\newcommand{\TODO}{\color{red} \hl{TODO:} \color{black}} -\newcommand{\bi}[1]{\textbf{\textit{#1}}} -\renewcommand{\quote}[1]{``\textit{#1}''} - -% Add a color shade (similar to \fhlc, but nicer boxes) -\newcommand{\background}[3]{\tcbox[on line, - boxsep=2pt, - left=0pt, - right=0pt, - top=0pt, - bottom=0pt, - colframe=white, - frame empty, - colback=#1!#2!white, - highlight math style={enhanced} - ] {\textbf{#3}}} - -% Abstraction of background, where the brightness is set to 20% -\newcommand{\shade}[2]{\background{#1}{\arabic{shadeStrength}}{#2}} - -% This command is used for the short and inline descriptors -\newcommand{\bg}[2]{\background{#1}{\arabic{descriptorShadeStrength}}{#2}} - -% Add a gray backdrop -\newcommand{\backdrop}[1]{\shade{black}{#1}} - - -% Fancy highlighting (Bold, underlined, colorbox behind it. Shorthand for \fhlc{white}{#1} -\newcommand{\fhl}[1]{\fhlc{white}{#1}} - -% Add a colorbox around your text with the color specified. Text is bold and underlined -\newcommand{\fhlc}[2]{\textbf{\underline{\colorbox{#1}{#2}}}} - -% Draw box around links. First arg link, second arg display -\newcommand{\hlhref}[2]{\color{MidnightBlue}\fbox{\href{#1}{#2}}\color{black}} - -% Same for urls (just one arg tho) -\newcommand{\hlurl}[1]{\color{MidnightBlue}\fbox{\url{#1}}\color{black}} - -% Spacing (horizontal) -\newcommand{\smallhspace}{\hspace{2mm}} -\newcommand{\mediumhspace}{\hspace{5mm}} -\newcommand{\largehspace}{\hspace{1cm}} - -% ----------------- % -% Table of contents % -% ----------------- % - -% Print a table of contents as a tcolorbox -\newcommand{\printtoc}[1]{ - \renewcommand{\cfttoctitlefont}{} - \renewcommand{\cftaftertoctitle}{\vspace{-0.75cm}} - \renewcommand{\contentsname}{} - \begin{tcolorbox}[colback=black!5!white,colbacktitle=#1!75!black,coltitle=black,enhanced,attach boxed title to top center={yshift=-2mm}, - title={\Large \ifnum\value{lang}<2{Contents}\else {Inhaltsverzeichnis}\fi},fonttitle=\bfseries,breakable] - \hspace{1cm} - \tableofcontents - \end{tcolorbox} -} - -%▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ -%██░▄▄▀█▀▄▄▀█░▄▀▄░█░▄▀▄░█▀▄▄▀█░▄▄▀ -%██░████░██░█░█▄█░█░█▄█░█░██░█░██░ -%██░▀▀▄██▄▄██▄███▄█▄███▄██▄▄██▄██▄ -%▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ - -\newtcolorbox{recall}[2][]{mainboxstyle,colback=yellow!5!white,colframe=yellow!75!black,colbacktitle=yellow!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=yellow!75!black,,fill=yellow!75!black] at (frame.north east) {\large \translate{Recall }{Repetition }};},#1} - -\newtcolorbox{remarks}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Remarks }{Bemerkungen }};},#1} - -\newtcolorbox{guides}[3][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,,fill=red!75!black] at (frame.north east) {\large #3};},#1} - - -\newtcolorbox{properties}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Properties }{Eigenschaften }};},#1} - -\newtcolorbox{restrictions}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Restrictions }{Einschränkungen }};},#1} - -\newtcolorbox{limitations}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Limitations }{Limitierungen }};},#1} - -\newtcolorbox{intuition}[2][]{mainboxstyle,colback=Emerald!5!white,colframe=Emerald!75!black,colbacktitle=Emerald!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Emerald!75!black,,fill=Emerald!75!black] at (frame.north east) {\large Intuition};},#1} - -\newcommand{\inlineintuition}{\bg{Emerald}{Intuition:}} - - -% Terms and notation -\newtcolorbox{terms}[2][]{mainboxstyle,colback=orange!5!white,colframe=orange!75!black,colbacktitle=orange!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=orange!75!black,,fill=orange!75!black] at (frame.north east) {\large \translate{Terms }{Begriffe }};},#1} - -\newtcolorbox{notation}[2][]{mainboxstyle,colback=Peach!5!white,colframe=Peach!75!black,colbacktitle=Peach!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Peach!75!black,,fill=Peach!75!black] at (frame.north east) {\large Notation};},#1} - - -\newtcolorbox{usage}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Usage }{Nutzung }};},#1} - - -% Task -\newtcolorbox{task}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2},overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Task}{Aufgabe}};},#1} - - -% Proof -\newtcolorbox{proof}[2][]{mainboxstyle,colback=magenta!5!white,colframe=magenta!75!black,colbacktitle=magenta!75!black,title={\large #2},overlay={\node[overlaystyle,draw=magenta!75!black,fill=magenta!75!black] at (frame.north east) {\large \translate{Proof}{Beweis}};},#1} - - -% General -\newtcolorbox{general}[4][]{mainboxstyle,colback=#4!5!white,colframe=#4!75!black,colbacktitle=#4!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=#4!75!black,,fill=#4!75!black] at (frame.north east) {\large #3};},#1} - -% Simple -\newtcolorbox{simplebox}[2][]{colback=#2!5!white,colframe=#2!75!black,#1} diff --git a/dist/most.tex b/dist/most.tex deleted file mode 100644 index fc0a046..0000000 --- a/dist/most.tex +++ /dev/null @@ -1,1030 +0,0 @@ - -% ▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄▄ ▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ -% █ █ █ █ █ █ █▄█ █ █ █ █ █ █ █ █ █ █ ▄ █ █ █ -% █ █ █ ▄ █▄ ▄█ ▄▄▄█ █ █ █▄█ █ ▄▄▄█ █ █ ▄ █ ▄▄▄█ █ █ █ █ ▄▄▄▄▄█ -% █ █ █ █▄█ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄█ █ █▄▄▄█ █▄▄█▄█ █▄▄▄▄▄ -% █ █▄▄▄█ █ █ █ █ ▄▄▄██ █ █ ▄ █ ▄▄▄█ █▄▄▄█ ▄▄▄█ ▄▄▄█ ▄▄ █▄▄▄▄▄ █ -% █ █ ▄ █ █ █ █ █▄▄▄█ ▄ █ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄▄▄▄▄█ █ -% █▄▄▄▄▄▄▄█▄█ █▄▄█ █▄▄▄█ █▄▄▄▄▄▄▄█▄▄█ █▄▄█ █▄▄█ █▄▄█▄▄▄▄▄▄▄█▄▄▄▄▄▄▄█▄▄▄█ █▄▄▄▄▄▄▄█▄▄▄█ █▄█▄▄▄▄▄▄▄█ - - -% ▄▄█▀▀▀█▄█ -% ▄██▀ ▀█ -% ██▀ ▀ ▄██▀██▄▀███▄███ ▄▄█▀██ -% ██ ██▀ ▀██ ██▀ ▀▀ ▄█▀ ██ -% ██▄ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████▄ ▀█████▀ - -% This file contains all necessary dependencies for the document to compile (at all) and some core macros - -% Imports % -\typeout{[Core] Importing!} -\usepackage[table, dvipsnames]{xcolor} -\usepackage{amsmath} -\usepackage{graphicx} -\usepackage{subcaption} -\usepackage[export]{adjustbox} -\usepackage[most]{tcolorbox} -\usepackage{cancel} -\usepackage{dsfont} -\usepackage{amssymb} -\usepackage{mathrsfs} -\usepackage{ulem} -\usepackage{soul} -\usepackage{parskip} -\usepackage{fancyhdr} -\usepackage{lastpage} -\usepackage{tocloft} -\usepackage{wasysym} -\usepackage{wrapfig} -\usepackage{multicol} -\usepackage{ifthen} -\usepackage[hidelinks]{hyperref} -\usepackage{enumitem} -\usepackage{gensymb} -\usepackage{pifont} - - -% Language Switching. Currently only English and German are supported -% See docs for how to use -\newcounter{lang} - -\newcommand{\setLang}[1]{ - \edef\lang{#1} - \edef\en{en} - \edef\de{de} - \ifx\lang\en - \typeout{[Lang Switcher] Loading English} - \setcounter{lang}{1} - \else - \ifx\lang\de - \typeout{[Lang Switcher] Loading German} - \setcounter{lang}{2} - \usepackage[ngerman]{babel} - \else - \typeout{[Lang Switcher] No such language!} - \fi - \fi -} - -\newcommand{\loadLang}{ - \ifnum\value{lang}<2{ - \typeout{[Lang Loader] Loaded English} - }\else { - \typeout{[Lang Loader] Loaded German} - \setcounter{lang}{2} - } - \fi -} - - -% Create config counters / variables. See the config file for changing them -\newcounter{numberingConfig} -\newcounter{numberSubsections} -\newcounter{descriptorShadeStrength} -\newcounter{shadeStrength} - -% Set up the latex document, configure author, title (as first argument), as well as headers and footers -\newcommand{\setup}[1]{ - \typeout{[Setup] Setting up...} - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} - \makeatletter - \makeatother - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - \fancypagestyle{plain}{% - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - } -} - -% Start document command (required) -\newcommand{\startDocument}{ - \maketitle - \startDocumentNoTitle -} - -\newcommand{\startDocumentNoTitle}{ - \pagestyle{fancy} - \thispagestyle{fancy} -} - -% Set up the latex document, only configuring the author, title and page size -\newcommand{\setupBarebones}[1]{ - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - -% Set up the latex document for exam summaries (Extra wide body, small margins, no header) -\newcommand{\setupCheatSheet}[1]{ - \loadLang - \usepackage[a4paper,textwidth=20cm,textheight=28.5cm]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Translatation │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\translate}[2]{\ifnum\value{lang}<2{#1}\else{#2}\fi} -\newcommand{\tr}[2]{\translate{#1}{#2}} - -% ┌ ┐ -% │ Translation aids (commonly used) │ -% └ ┘ -\newcommand{\trif}{\translate{if }{falls }} -\newcommand{\trIf}{\translate{If }{Falls }} -\newcommand{\trLet}{\translate{Let }{Sei }} -\newcommand{\trLets}{\translate{Let }{Seien }} -\newcommand{\trFor}{\translate{For }{Für }} -\newcommand{\trfor}{\translate{for }{für }} -\newcommand{\trand}{\translate{and }{und }} -\newcommand{\tror}{\translate{or }{oder }} -\newcommand{\trst}{\translate{s.t. }{s.d. }} -\newcommand{\trsuchthat}{\translate{such that }{so dass }} -\newcommand{\trwith}{\translate{with }{mit }} - -% ___ ___ -% ( _ \ / ___)_ -% | ( (_) _ ___ | (__ (_) __ -% | | _ / _ \/ _ \ __)| |/ _ \ -% | (_( ) (_) ) ( ) | | | | (_) | -% (____/ \___/(_) (_)_) (_)\__ | -% ( )_) | -% \___/ - -% To be loaded *after* main/core.tex - -% Configure your author name here -\newcommand{\authorTitle}{Janis Hutz\\\url{https://janishutz.com}} -\newcommand{\authorHeaders}{Janis Hutz} - -% Configure your address here -\newcommand{\name}{Janis Hutz} -\newcommand{\street}{Street} -\newcommand{\city}{City} -\newcommand{\countrycode}{CH} - - -% Configure definition, lemma, theorem, etc numbering behaviour. 1 = Individual, 2 = Combined (apart from Definition), 3 = Combined -\setcounter{numberingConfig}{1} - -% Configure if for definitions, lemmas, etc, numbering should be (0) =
. or (1) =
.. or (2) =
... -\setcounter{numberSubsections}{0} - -% Set the default language. -\setLang{en} - -% Set the default command for theorem translation -\newcommand{\theoremde}{Satz} - - -% ----- % -% STYLE % -% ----- % - -% The colour-saturation of the short / inline descriptors (default = 40) -\setcounter{descriptorShadeStrength}{40} - -% The colour-saturation of the shade command (default = 20) -\setcounter{shadeStrength}{20} - -%░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░ -%░░░ ░░░░░ ░░░░░░░░░░░░░ ░░░░░░░░░░░ -%▒ ▒▒▒▒ ▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒ -%▒▒ ▒▒▒▒▒▒▒ ▒ ▒ ▒▒▒ ▒ ▒▒▒▒ ▒▒▒▒ -%▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ -%▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ -%▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ -%███ ██████ █████ ████ ███ ███ -%██████████████████████ ███████████████████ - -% Global style configs for tcolorbox (to reduce bloat) -\newcommand{\usetcolorboxes}{ - \tcbset{ - mainboxstyle/.style={ - arc=3mm, - colback=red!5!white, - colframe=red!75!black, - colbacktitle=red!75!black, - fonttitle=\bfseries, - enhanced, - attach boxed title to top left={yshift=-2mm,xshift=5mm}, - breakable, - top=0.4cm, - } - } - \tikzset{ - overlaystyle/.style={ - draw=red!75!black, - thick, - fill=red!75!black, - left, - anchor=east, - text=white, - rounded corners=1mm, - font=\bfseries, - xshift=-5mm, - yshift=1mm, - inner xsep=3mm, - inner ysep=1.5mm - } - } -} - -% -------------------- % -% Small style elements % -% -------------------- % -\newcommand{\setFont}[1]{\fontfamily{#1}\selectfont} -\newcommand{\setFontType}[1]{ - \ifthenelse{\equal{#1}{mono}}{ - \renewcommand{\familydefault}{\ttdefault} - }{ - \ifthenelse{\equal{#1}{serif}}{ - \renewcommand{\familydefault}{\rmdefault} - }{ - \renewcommand{\familydefault}{\sfdefault} - } - } -} -\newcommand{\rmvspace}{\vspace{-0.5pc}} -\newcommand{\drmvspace}{\vspace{-1pc}} -\renewcommand{\footrulewidth}{0.4pt} -\newcommand{\TODO}{\color{red} \hl{TODO:} \color{black}} -\newcommand{\bi}[1]{\textbf{\textit{#1}}} -\renewcommand{\quote}[1]{``\textit{#1}''} - -% Add a color shade (similar to \fhlc, but nicer boxes) -\newcommand{\background}[3]{\tcbox[on line, - boxsep=2pt, - left=0pt, - right=0pt, - top=0pt, - bottom=0pt, - colframe=white, - frame empty, - colback=#1!#2!white, - highlight math style={enhanced} - ] {\textbf{#3}}} - -% Abstraction of background, where the brightness is set to 20% -\newcommand{\shade}[2]{\background{#1}{\arabic{shadeStrength}}{#2}} - -% This command is used for the short and inline descriptors -\newcommand{\bg}[2]{\background{#1}{\arabic{descriptorShadeStrength}}{#2}} - -% Add a gray backdrop -\newcommand{\backdrop}[1]{\shade{black}{#1}} - - -% Fancy highlighting (Bold, underlined, colorbox behind it. Shorthand for \fhlc{white}{#1} -\newcommand{\fhl}[1]{\fhlc{white}{#1}} - -% Add a colorbox around your text with the color specified. Text is bold and underlined -\newcommand{\fhlc}[2]{\textbf{\underline{\colorbox{#1}{#2}}}} - -% Draw box around links. First arg link, second arg display -\newcommand{\hlhref}[2]{\color{MidnightBlue}\fbox{\href{#1}{#2}}\color{black}} - -% Same for urls (just one arg tho) -\newcommand{\hlurl}[1]{\color{MidnightBlue}\fbox{\url{#1}}\color{black}} - -% Spacing (horizontal) -\newcommand{\smallhspace}{\hspace{2mm}} -\newcommand{\mediumhspace}{\hspace{5mm}} -\newcommand{\largehspace}{\hspace{1cm}} - -% ----------------- % -% Table of contents % -% ----------------- % - -% Print a table of contents as a tcolorbox -\newcommand{\printtoc}[1]{ - \renewcommand{\cfttoctitlefont}{} - \renewcommand{\cftaftertoctitle}{\vspace{-0.75cm}} - \renewcommand{\contentsname}{} - \begin{tcolorbox}[colback=black!5!white,colbacktitle=#1!75!black,coltitle=black,enhanced,attach boxed title to top center={yshift=-2mm}, - title={\Large \ifnum\value{lang}<2{Contents}\else {Inhaltsverzeichnis}\fi},fonttitle=\bfseries,breakable] - \hspace{1cm} - \tableofcontents - \end{tcolorbox} -} - -%▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ -%██░▄▄▀█▀▄▄▀█░▄▀▄░█░▄▀▄░█▀▄▄▀█░▄▄▀ -%██░████░██░█░█▄█░█░█▄█░█░██░█░██░ -%██░▀▀▄██▄▄██▄███▄█▄███▄██▄▄██▄██▄ -%▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ - -\newtcolorbox{recall}[2][]{mainboxstyle,colback=yellow!5!white,colframe=yellow!75!black,colbacktitle=yellow!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=yellow!75!black,,fill=yellow!75!black] at (frame.north east) {\large \translate{Recall }{Repetition }};},#1} - -\newtcolorbox{remarks}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Remarks }{Bemerkungen }};},#1} - -\newtcolorbox{guides}[3][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,,fill=red!75!black] at (frame.north east) {\large #3};},#1} - - -\newtcolorbox{properties}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Properties }{Eigenschaften }};},#1} - -\newtcolorbox{restrictions}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Restrictions }{Einschränkungen }};},#1} - -\newtcolorbox{limitations}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Limitations }{Limitierungen }};},#1} - -\newtcolorbox{intuition}[2][]{mainboxstyle,colback=Emerald!5!white,colframe=Emerald!75!black,colbacktitle=Emerald!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Emerald!75!black,,fill=Emerald!75!black] at (frame.north east) {\large Intuition};},#1} - -\newcommand{\inlineintuition}{\bg{Emerald}{Intuition:}} - - -% Terms and notation -\newtcolorbox{terms}[2][]{mainboxstyle,colback=orange!5!white,colframe=orange!75!black,colbacktitle=orange!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=orange!75!black,,fill=orange!75!black] at (frame.north east) {\large \translate{Terms }{Begriffe }};},#1} - -\newtcolorbox{notation}[2][]{mainboxstyle,colback=Peach!5!white,colframe=Peach!75!black,colbacktitle=Peach!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Peach!75!black,,fill=Peach!75!black] at (frame.north east) {\large Notation};},#1} - - -\newtcolorbox{usage}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Usage }{Nutzung }};},#1} - - -% Task -\newtcolorbox{task}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2},overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Task}{Aufgabe}};},#1} - - -% Proof -\newtcolorbox{proof}[2][]{mainboxstyle,colback=magenta!5!white,colframe=magenta!75!black,colbacktitle=magenta!75!black,title={\large #2},overlay={\node[overlaystyle,draw=magenta!75!black,fill=magenta!75!black] at (frame.north east) {\large \translate{Proof}{Beweis}};},#1} - - -% General -\newtcolorbox{general}[4][]{mainboxstyle,colback=#4!5!white,colframe=#4!75!black,colbacktitle=#4!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=#4!75!black,,fill=#4!75!black] at (frame.north east) {\large #3};},#1} - -% Simple -\newtcolorbox{simplebox}[2][]{colback=#2!5!white,colframe=#2!75!black,#1} - -% ▄▄ -% ▀████▄ ▄███▀ ██ ███ -% ████ ████ ██ ██ -% █ ██ ▄█ ██ ▄█▀██▄ ██████ ███████▄ -% █ ██ █▀ ██ ██ ██ ██ ██ ██ -% █ ██▄█▀ ██ ▄█████ ██ ██ ██ -% █ ▀██▀ ██ ██ ██ ██ ██ ██ -% ▄███▄ ▀▀ ▄████▄████▀██▄ ▀███████ ████▄ - - -% BB shortcuts (for number spaces, etc) -\newcommand{\A}{\mathbb{A}} -\newcommand{\B}{\mathbb{B}} -\newcommand{\C}{\mathbb{C}} -\newcommand{\D}{\mathbb{D}} -\newcommand{\E}{\mathbb{E}} -\newcommand{\F}{\mathbb{F}} -\newcommand{\G}{\mathbb{G}} -\renewcommand{\H}{\mathbb{H}} -\newcommand{\I}{\mathbb{I}} -\newcommand{\J}{\mathbb{J}} -\newcommand{\K}{\mathbb{K}} -\renewcommand{\L}{\mathbb{L}} -\newcommand{\M}{\mathbb{M}} -\newcommand{\N}{\mathbb{N}} -\renewcommand{\O}{\mathbb{O}} -\renewcommand{\P}{\mathbb{P}} -\newcommand{\Q}{\mathbb{Q}} -\newcommand{\R}{\mathbb{R}} -\renewcommand{\S}{\mathbb{S}} -\newcommand{\T}{\mathbb{T}} -\newcommand{\U}{\mathbb{U}} -\newcommand{\V}{\mathbb{V}} -\newcommand{\W}{\mathbb{W}} -\newcommand{\X}{\mathbb{X}} -\newcommand{\Y}{\mathbb{Y}} -\newcommand{\Z}{\mathbb{Z}} - -% Caligraphic -\newcommand{\cA}{\mathcal{A}} -\newcommand{\cB}{\mathcal{B}} -\newcommand{\cC}{\mathcal{C}} -\newcommand{\cD}{\mathcal{D}} -\newcommand{\cE}{\mathcal{E}} -\newcommand{\cF}{\mathcal{F}} -\newcommand{\cG}{\mathcal{G}} -\newcommand{\cH}{\mathcal{H}} -\newcommand{\cI}{\mathcal{I}} -\newcommand{\cJ}{\mathcal{J}} -\newcommand{\cK}{\mathcal{K}} -\newcommand{\cL}{\mathcal{L}} -\newcommand{\cM}{\mathcal{M}} -\newcommand{\cN}{\mathcal{N}} -\newcommand{\cO}{\mathcal{O}} -\newcommand{\cP}{\mathcal{P}} -\newcommand{\cQ}{\mathcal{Q}} -\newcommand{\cR}{\mathcal{R}} -\newcommand{\cS}{\mathcal{S}} -\newcommand{\cT}{\mathcal{T}} -\newcommand{\cU}{\mathcal{U}} -\newcommand{\cV}{\mathcal{V}} -\newcommand{\cW}{\mathcal{W}} -\newcommand{\cX}{\mathcal{X}} -\newcommand{\cY}{\mathcal{Y}} -\newcommand{\cZ}{\mathcal{Z}} - -% other useful shortcuts -\newcommand{\elementstack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}} -\newcommand{\8}{\infty} -\newcommand{\cond}{\text{cond}} -\newcommand{\argmin}[1]{\underset{#1}{\text{argmin}}} -\newcommand{\dx}{\text{ d}} -\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor} -\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil} -\newcommand{\hastoeq}{\overset{!}{=}} -\newcommand{\Leftrightarrowequiv}{\overset{\cdot}{\Leftrightarrow}} -\newcommand{\Longleftrightarrowequiv}{\overset{\cdot}{\Longleftrightarrow}} -\newcommand{\Rightarrowequiv}{\overset{\cdot}{\Rightarrow}} -\newcommand{\Leftarrowequiv}{\overset{\cdot}{\Leftarrow}} -\newcommand{\defAs}{\overset{\text{def}}{=}} -\newcommand{\der}[1]{\frac{\mbox{d}}{\mbox{d}#1}} -\newcommand{\dern}[2]{\frac{\mbox{d}^{#2}}{\mbox{d}^{#2}#1}} -\newcommand{\parder}[1]{\frac{\partial}{\partial #1}} -\newcommand{\pardern}[2]{\frac{\partial^{#2}}{\partial^{#2} #1}} -\newcommand{\defEquiv}{\overset{\text{def}}{\Leftrightarrow}} -\newcommand{\defImplies}{\overset{\text{def}}{\Rightarrow}} -\newcommand{\divides}{\hspace{0.25em}|\hspace{0.25em}} -\newcommand{\mbeq}{\overset{!}{=}} -\newcommand{\lcm}{\text{lcm}} -\newcommand{\limit}[2]{\lim_{#1 \rightarrow #2}} -\newcommand{\seq}[1]{(#1_n)_{n \geq 1}} -\newcommand{\ser}[2]{\sum_{k = 1}^{#2} #1_k} -\newcommand{\limni}{\limit{n}{\infty}} -\newcommand{\limnz}{\limit{n}{0}} -\newcommand{\limxz}{\limit{x_0}{0}} -\newcommand{\limhz}{\limit{h}{0}} -\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}} -\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}} -\DeclareMathOperator\arctanh{arctanh} -\DeclareMathOperator\arccosh{arccosh} -\DeclareMathOperator\arcsinh{arcsinh} - - -% ░▒█▀▀▄░▄▀▀▄░█▀▄▀█░▄▀▀▄░█░▒█░▀█▀░█▀▀░█▀▀▄░░░▒█▀▀▀█░█▀▄░░▀░░█▀▀░█▀▀▄░█▀▄░█▀▀ -% ░▒█░░░░█░░█░█░▀░█░█▄▄█░█░▒█░░█░░█▀▀░█▄▄▀░░░░▀▀▀▄▄░█░░░░█▀░█▀▀░█░▒█░█░░░█▀▀ -% ░▒█▄▄▀░░▀▀░░▀░░▒▀░█░░░░░▀▀▀░░▀░░▀▀▀░▀░▀▀░░░▒█▄▄▄█░▀▀▀░▀▀▀░▀▀▀░▀░░▀░▀▀▀░▀▀▀ - -% Extra imports -\usepackage{stmaryrd} -\usepackage{algorithm} -\usepackage{algpseudocodex} -\usepackage{setspace} -\usepackage{verbatim} -\usepackage{turnstile} -\usepackage{forloop} - -\newcommand{\Indent}{\hspace{\algorithmicindent}} - -\newcommand{\timecomplexity}{\fhlc{orange}{\ifnum\value{lang}<2{Time complexity}\else {Laufzeit}\fi} \hspace{0.5em}} -\newcommand{\tc}[1]{\timecomplexity $\Theta\left(#1\right)$} -\newcommand{\tct}[1]{\Theta\left(#1\right)} -\newcommand{\tco}[1]{\mathcal{O}\left(#1\right)} -\newcommand{\tcl}[1]{\Omega\left(#1\right)} -\newcommand{\wordbool}{(\Sigma_{\text{bool}})^*} -\newcommand{\words}[1]{(\Sigma_{\text{#1}})^*} -\newcommand{\word}{\Sigma^*} -\newcommand{\wordm}[1]{\Sigma_{\text{#1}}^*} -\newcommand{\alphabets}[1]{\Sigma_{\text{#1}}} -\newcommand{\alphabetbool}{\Sigma_{\text{bool}}} -\newcommand{\tR}{\text{R}} -\newcommand{\tC}{\text{C}} -\newcommand{\tN}{\text{N}} -\newcommand{\bigvdash}[2]{\sststile{#1}{#2}} -\newcommand{\class}{\text{\tr{Cl}{Kl}}} - -% ▄▄ -% ▀████▀ ▀███ -% ██ ██ -% ██ ▀████████▄ ▄█▀▀███ ▄▄█▀██▀██▀ ▀██▀ -% ██ ██ ██ ▄██ ██ ▄█▀ ██ ▀██ ▄█▀ -% ██ ██ ██ ███ ██ ██▀▀▀▀▀▀ ███ -% ██ ██ ██ ▀██ ██ ██▄ ▄ ▄█▀ ██▄ -% ▄████▄████ ████▄ ▀████▀███▄ ▀█████▀██▄ ▄██▄ - - -% For using index package -\newcommand{\prepareIndex}{ - \usepackage[T1]{fontenc} - \usepackage{imakeidx} - \makeindex -} - -\newcommand{\addIndexBold}[1]{\textbf{\index{\MakeLowercase{#1}} #1}} -\newcommand{\addIndexItalic}[1]{\textit{\index{\MakeLowercase{#1}} #1}} -\newcommand{\addIndex}[1]{\index{\MakeLowercase{#1}} #1} - - - -% ▄▄· ▄• ▄▌ ▐ ▄ ▄▄▄▄▄▄▄▄ .▄▄▄ -% ▐█ ▌▪ ▄█▀▄ █▪██▌•█▌▐█•██ ▀▄.▀·▀▄ █· -% ██ ▄▄▐█▌.▐▌█▌▐█▌▐█▐▐▌ ▐█.▪▐▀▀▪▄▐▀▀▄ -% ▐███▌▐█▌.▐▌▐█▄█▌██▐█▌ ▐█▌·▐█▄▄▌▐█•█▌ -% ·▀▀▀ ▀█▄▀▪ ▀▀▀ ▀▀ █▪ ▀▀▀ ▀▀▀ .▀ ▀ - -\usepackage{xstring} -\usepackage{etoolbox} -% tcolorbox and other stylistic elements (i.e. inline versions of them) that have counters -\newcounter{lemma}[section] -\newcounter{definition}[section] -\newcounter{corollary}[section] -\newcounter{theorem}[section] -\newcounter{axiom}[section] -\newcounter{example}[section] -\newcounter{fact}[section] -\newcounter{proposition}[section] -\newcounter{formula}[section] -\newcounter{remark}[section] -\newcounter{all}[section] - -\newcounter{lemmass}[subsection] -\newcounter{definitionss}[subsection] -\newcounter{corollaryss}[subsection] -\newcounter{theoremss}[subsection] -\newcounter{axiomss}[subsection] -\newcounter{exampless}[subsection] -\newcounter{factss}[subsection] -\newcounter{propositionss}[subsection] -\newcounter{formulass}[subsection] -\newcounter{remarkss}[subsection] -\newcounter{allss}[subsection] - -\newcounter{lemmasss}[subsubsection] -\newcounter{definitionsss}[subsubsection] -\newcounter{corollarysss}[subsubsection] -\newcounter{theoremsss}[subsubsection] -\newcounter{axiomsss}[subsubsection] -\newcounter{examplesss}[subsubsection] -\newcounter{factsss}[subsubsection] -\newcounter{propositionsss}[subsubsection] -\newcounter{formulasss}[subsubsection] -\newcounter{remarksss}[subsubsection] -\newcounter{allsss}[subsubsection] - -% Set the current number of a label -\newcommand{\setLabelNumber}[2]{% - \setcounter{#1}{#2}% - \addtocounter{#1}{-1}% - \setcounter{#1ss}{#2}% - \addtocounter{#1ss}{-1}% - \setcounter{#1sss}{#2}% - \addtocounter{#1sss}{-1}% -} - -\newcommand{\stepLabelNumber}[1]{% - \stepcounter{#1}% - \stepcounter{#1ss}% - \stepcounter{#1sss}% -} - -\newcommand{\printcounter}[1]{% - \csname the#1\endcsname -} - -\newcommand{\suffix}{ss} -\newcommand{\sectionNumbering}{\thesection} - -% ┌ ┐ -% │ Counter numbering │ -% └ ┘ -\newcommand{\preTableAndFigHook}[1]{% - \ifnum\value{numberingConfig}>1 - \ifnum\value{numberSubsections}=1 - \stepcounter{allss} - \else - \ifnum\value{numberSubsections}=2 - \stepcounter{allsss} - \else - \stepcounter{all} - \fi - \fi - \fi -} -\AtBeginEnvironment{table}{\preTableAndFigHook{table}} -\AtBeginEnvironment{figure}{\preTableAndFigHook{figure}} - -\newcommand{\applyTableAndFigureNumbering}{ - % Tables & Figures - \ifnum\value{numberingConfig}=0 - \renewcommand{\thetable}{} - \renewcommand{\thefigure}{} - \else - \ifnum\value{numberingConfig}=1 - \renewcommand{\thetable}{\sectionNumbering.\arabic{table}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{figure}} - \else - \ifnum\value{numberSubsections}=1 - \renewcommand{\thetable}{\sectionNumbering.\arabic{allss}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{allss}} - \else - \ifnum\value{numberSubsections}=2 - \renewcommand{\thetable}{\refstepcounter{allsss}\sectionNumbering.\arabic{allsss}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{allsss}} - \else - \renewcommand{\thetable}{\sectionNumbering.\arabic{all}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{all}} - \fi - \fi - \fi - \fi -} - -\newcommand{\setSubsectionNumbering}[1]{ - \setcounter{numberSubsections}{#1} - \applySubsectionNumbering -} - -\newcommand{\applySubsectionNumbering}{ - \ifnum\value{numberSubsections}=1 - \renewcommand{\sectionNumbering}{\thesubsection} - \renewcommand{\suffix}{ss} - \typeout{Numbering as section.subsection.number} - \else - \ifnum\value{numberSubsections}=2 - \renewcommand{\sectionNumbering}{\thesubsubsection} - \renewcommand{\suffix}{sss} - \typeout{Numbering as section.subsection.subsubsection.number} - \else - \renewcommand{\sectionNumbering}{\thesection} - \renewcommand{\suffix}{} - \typeout{Numbering as section.number} - \fi - \fi - \applyTableAndFigureNumbering - - \renewcommand{\thelemma}{\sectionNumbering.\arabic{lemma}} - \renewcommand{\thedefinition}{\sectionNumbering.\arabic{definition}} - \renewcommand{\thecorollary}{\sectionNumbering.\arabic{corollary}} - \renewcommand{\thetheorem}{\sectionNumbering.\arabic{theorem}} - \renewcommand{\theaxiom}{\sectionNumbering.\arabic{axiom}} - \renewcommand{\theexample}{\sectionNumbering.\arabic{example}} - \renewcommand{\thefact}{\sectionNumbering.\arabic{fact}} - \renewcommand{\theproposition}{\sectionNumbering.\arabic{proposition}} - \renewcommand{\theformula}{\sectionNumbering.\arabic{formula}} - \renewcommand{\theremark}{\sectionNumbering.\arabic{remark}} - \renewcommand{\theall}{\sectionNumbering.\arabic{all}} - - \renewcommand{\thelemmass}{\sectionNumbering.\arabic{lemmass}} - \renewcommand{\thedefinitionss}{\sectionNumbering.\arabic{definitionss}} - \renewcommand{\thecorollaryss}{\sectionNumbering.\arabic{corollaryss}} - \renewcommand{\thetheoremss}{\sectionNumbering.\arabic{theoremss}} - \renewcommand{\theaxiomss}{\sectionNumbering.\arabic{axiomss}} - \renewcommand{\theexampless}{\sectionNumbering.\arabic{exampless}} - \renewcommand{\thefactss}{\sectionNumbering.\arabic{factss}} - \renewcommand{\thepropositionss}{\sectionNumbering.\arabic{propositionss}} - \renewcommand{\theformulass}{\sectionNumbering.\arabic{formulass}} - \renewcommand{\theremarkss}{\sectionNumbering.\arabic{remarkss}} - \renewcommand{\theallss}{\sectionNumbering.\arabic{allss}} - - \renewcommand{\thelemmasss}{\sectionNumbering.\arabic{lemmasss}} - \renewcommand{\thedefinitionsss}{\sectionNumbering.\arabic{definitionsss}} - \renewcommand{\thecorollarysss}{\sectionNumbering.\arabic{corollarysss}} - \renewcommand{\thetheoremsss}{\sectionNumbering.\arabic{theoremsss}} - \renewcommand{\theaxiomsss}{\sectionNumbering.\arabic{axiomsss}} - \renewcommand{\theexamplesss}{\sectionNumbering.\arabic{examplesss}} - \renewcommand{\thefactsss}{\sectionNumbering.\arabic{factsss}} - \renewcommand{\thepropositionsss}{\sectionNumbering.\arabic{propositionsss}} - \renewcommand{\theformulasss}{\sectionNumbering.\arabic{formulasss}} - \renewcommand{\theremarksss}{\sectionNumbering.\arabic{remarksss}} - \renewcommand{\theallsss}{\sectionNumbering.\arabic{allsss}} -} -\applySubsectionNumbering - -% ── Label generation ──────────────────────────────────────────────── -\newcommand{\labelSectionGeneration}{% - \ifnum\value{numberSubsections}=1 - \arabic{section}-\arabic{subsection}% - \else - \ifnum\value{numberSubsections}=2 - \arabic{section}-\arabic{subsection}-\arabic{subsubsection}% - \else - \arabic{section}% - \fi - \fi} - -\newcommand{\labelIt}[1]{\refstepcounter{#1\suffix}\edef\tempLabel{\genLabel{#1}{\arabic{#1\suffix}}}\label{\tempLabel}} -\newcommand{\genLabel}[2]{#1:\labelSectionGeneration-#2} - -% ┌ ┐ -% │ Number the counters appropriately │ -% └ ┘ -\newcommand{\usenumberArabic}[1]{% - \ifnum\value{numberingConfig}=1 - \labelIt{#1} - \printcounter{#1\suffix}% - \else - \ifnum\value{numberingConfig}=2 - \ifthenelse{\equal{#1}{definitions}}{% - \labelIt{definition} - \printcounter{definition\suffix}% - }{% - \labelIt{all} - \printcounter{all\suffix}% - }% - \else - \ifnum\value{numberingConfig}=3 - \labelIt{all} - \printcounter{all\suffix}% - \else - \relax% - \fi - \fi - \fi} - - -% ──────────────────────────────────────────────────────────────────── -% ┌ ┐ -% │ Enable or disable numbering │ -% └ ┘ -% Initialize with config file -\newcounter{numberingConfigStore} -\setcounter{numberingConfigStore}{\value{numberingConfig}} - -% For later change -\newcommand{\setNumberingStyle}[1]{ - \typeout{Setting NumberingStyle to #1} - \setcounter{numberingConfig}{#1} - \ifthenelse{\equal{#1}{0}}{}{ - \setcounter{numberingConfigStore}{#1} - } - \applyTableAndFigureNumbering -} - -% Enable / disable numbering -\newcommand{\numberingOff}{ - \setcounter{numberingConfig}{0} - \applyTableAndFigureNumbering -} -\newcommand{\numberingOn}{ - \setcounter{numberingConfig}{\value{numberingConfigStore}} - \applyTableAndFigureNumbering -} - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Reset definition, lemma, etc counters, add a │ -% │ new page │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\newsection}{ - \newpage - \newsectionNoPB -} - -% ── Reset definitions, lemma, etc counters, do not add new page ───── -\newcommand{\newsectionNoPB}{ - \setcounter{lemma}{0} - \setcounter{definition}{0} - \setcounter{corollary}{0} - \setcounter{theorem}{0} - \setcounter{axiom}{0} - \setcounter{example}{0} - \setcounter{fact}{0} - \setcounter{proposition}{0} - \setcounter{formula}{0} - \setcounter{remark}{0} - \setcounter{all}{0} - - \setcounter{lemmass}{0} - \setcounter{definitionss}{0} - \setcounter{corollaryss}{0} - \setcounter{theoremss}{0} - \setcounter{axiomss}{0} - \setcounter{exampless}{0} - \setcounter{factss}{0} - \setcounter{propositionss}{0} - 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overlay={\node[overlaystyle,draw=JungleGreen!75!black,fill=JungleGreen!75!black] at (frame.north east) {\large Axiom\usenumberArabic{axiom}};},#1} - -% Facts -\newtcolorbox{fact}[2][]{mainboxstyle,colback=SeaGreen!5!white,colframe=SeaGreen!75!black,colbacktitle=SeaGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=SeaGreen!75!black,fill=SeaGreen!75!black] at (frame.north east) {\large \translate{Fact}{Fakt}\usenumberArabic{fact}};},#1} - -% Propositions -\newtcolorbox{proposition}[2][]{mainboxstyle,colback=Cyan!5!white,colframe=Cyan!75!black,colbacktitle=Cyan!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Cyan!75!black,fill=Cyan!75!black] at (frame.north east) {\large Proposition\usenumberArabic{proposition}};},#1} - -% Examples -\newtcolorbox{example}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Example}{Beispiel}\usenumberArabic{example}};},#1} - -% Formula -\newtcolorbox{formula}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Formula}{Formel}\usenumberArabic{formula}};},#1} - -% Remark -\newtcolorbox{remark}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,fill=green!75!black] at (frame.north east) {\large \translate{Remark}{Bemerkung} \usenumberArabic{remark}};},#1} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Inline environments │ -% ╰────────────────────────────────────────────────╯ -% ──────────────────────────────────────────────────────────────────── - - -% Inline environments (inline) -\newcommand{\inlineex}{\bg{gray}{\translate{Example}{Beispiel}\usenumberArabic{example}:}} -\newcommand{\inlinedef}{\bg{blue}{Definition\usenumberArabic{definition}:}} -\newcommand{\inlineformula}{\bg{red}{\translate{Formula}{Formel}\usenumberArabic{formula}:}} -\newcommand{\inlinelemma}{\bg{Aquamarine}{Lemma\usenumberArabic{lemma}:}} -\newcommand{\inlinetheorem}{\bg{ForestGreen}{\translate{Theorem}{\theoremde}\usenumberArabic{theorem}:}} -\newcommand{\inlineaxiom}{\bg{JungleGreen}{Axiom\usenumberArabic{axiom}:}} -\newcommand{\inlinecorollary}{\bg{teal}{\translate{Corollary}{Korollar}\usenumberArabic{corollary}:}} -\newcommand{\inlinefact}{\bg{SeaGreen}{\translate{Fact}{Fakt}\usenumberArabic{fact}:}} -\newcommand{\inlineproposition}{\bg{Cyan}{Proposition\usenumberArabic{proposition}:}} -\newcommand{\inlineremark}{\bg{green}{\translate{Remark}{Bemerkung}\usenumberArabic{remark}:}} -\newcommand{\inlineproof}{\bg{magenta}{\translate{Proof}{Beweis}:}} - -% Enhanced inline environments -\newcommand{\fancyex}[1]{\bg{gray}{\translate{Example}{Beispiel}\usenumberArabic{example}:} \textit{(#1)}} -\newcommand{\fancydef}[1]{\bg{blue}{Definition\usenumberArabic{definition}:} \textit{(#1)}} -\newcommand{\fancyformula}[1]{\bg{red}{\translate{Formula}{Formel}\usenumberArabic{formula}:} \textit{(#1)}} -\newcommand{\fancylemma}[1]{\bg{Aquamarine}{Lemma\usenumberArabic{lemma}:} \textit{(#1)}} -\newcommand{\fancytheorem}[1]{\bg{ForestGreen}{\translate{Theorem}{\theoremde}\usenumberArabic{theorem}:} \textit{(#1)}} -\newcommand{\fancyaxiom}[1]{\bg{JungleGreen}{Axiom\usenumberArabic{axiom}:} \textit{(#1)}} -\newcommand{\fancycorollary}[1]{\bg{teal}{\translate{Corollary}{Korollar}\usenumberArabic{corollary}:} \textit{(#1)}} -\newcommand{\fancyfact}[1]{\bg{SeaGreen}{\translate{Fact}{Fakt}\usenumberArabic{fact}:} \textit{(#1)}} -\newcommand{\fancyproposition}[1]{\bg{Cyan}{Proposition\usenumberArabic{proposition}:} \textit{(#1)}} -\newcommand{\fancyremark}[1]{\bg{green}{\translate{Remark}{Bemerkung}\usenumberArabic{remark}:} \textit{(#1)}} -\newcommand{\fancyproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}} - -% short environments (abbreviated) -\newcommand{\shortex}{\bg{gray}{\translate{Ex}{Bsp}\usenumberArabic{example}:}} -\newcommand{\shortdef}{\bg{blue}{D\usenumberArabic{definition}:}} -\newcommand{\short}{\bg{red}{F\usenumberArabic{formula}:}} -\newcommand{\shortlemma}{\bg{Aquamarine}{L\usenumberArabic{lemma}:}} -\newcommand{\shorttheorem}{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}}\usenumberArabic{theorem}:}} -\newcommand{\shortaxiom}{\bg{JungleGreen}{A\usenumberArabic{axiom}:}} -\newcommand{\shortcorollary}{\bg{teal}{\translate{C}{K}\usenumberArabic{corollary}:}} -\newcommand{\shortfact}{\bg{SeaGreen}{F\usenumberArabic{fact}:}} -\newcommand{\shortproposition}{\bg{Cyan}{P\usenumberArabic{proposition}:}} -\newcommand{\shortremark}{\bg{green}{\tr{R}{B}\usenumberArabic{remark}:}} -\newcommand{\shortproof}{\bg{magenta}{\translate{Proof}{Beweis}:}} - -% Enhanced short environments (abbreviated) -\newcommand{\compactex}[1]{\bg{gray}{\translate{Ex}{Bsp}\usenumberArabic{example}:} \textit{(#1)}} -\newcommand{\compactdef}[1]{\bg{blue}{D\usenumberArabic{definition}:} \textit{(#1)}} -\newcommand{\compactformula}[1]{\bg{red}{F\usenumberArabic{formula}:} \textit{(#1)}} -\newcommand{\compactlemma}[1]{\bg{Aquamarine}{L\usenumberArabic{lemma}:} \textit{(#1)}} -\newcommand{\compacttheorem}[1]{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}} \usenumberArabic{theorem}:} \textit{(#1)}} -\newcommand{\compactaxiom}[1]{\bg{JungleGreen}{A\usenumberArabic{axiom}:} \textit{(#1)}} -\newcommand{\compactcorollary}[1]{\bg{teal}{\translate{C}{K}\usenumberArabic{corollary}:} \textit{(#1)}} -\newcommand{\compactfact}[1]{\bg{SeaGreen}{F\usenumberArabic{fact}:} \textit{(#1)}} -\newcommand{\compactproposition}[1]{\bg{Cyan}{P\usenumberArabic{proposition}:} \textit{(#1)}} -\newcommand{\compactremark}[1]{\bg{green}{\tr{R}{B}\usenumberArabic{remark}:} \textit{(#1)}} -\newcommand{\compactproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}} - -% ▄▄ -% ▄▄█▀▀▀█▄█ ██ ▄█▀▀▀█▄█ ██ -% ▄██▀ ▀█ ██ ▄██ ▀█ -% ██▀ ▀ ▄██▀██▄▀████████▄█████▄ ▀████████▄▀███ ▀███ ██████ ▄▄█▀██▀███▄███ ▀███▄ ▄██▀██▀███ ▄▄█▀██▀████████▄ ▄██▀██ ▄▄█▀██ -% ██ ██▀ ▀██ ██ ██ ██ ██ ▀██ ██ ██ ██ ▄█▀ ██ ██▀ ▀▀ ▀█████▄█▀ ██ ██ ▄█▀ ██ ██ ██ ██▀ ██ ▄█▀ ██ -% ██▄ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██▀▀▀▀▀▀ ██ ▄ ▀███ ██ ██▀▀▀▀▀▀ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██ ██ ██ ▄██ ██ ██ ██ ██▄ ▄ ██ ██ ███▄ ▄ ██ ██▄ ▄ ██ ██ ██▄ ▄██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████ ████ ████▄ ██████▀ ▀████▀███▄ ▀████ ▀█████▀████▄ █▀█████▀ █████▀▄████▄ ▀█████▀████ ████▄█████▀ ▀█████▀ -% ██ -% ▄████▄ - -\usepackage{forest} -\tikzset{algpxIndentLine/.style={draw=lightgray}} -\algrenewcommand{\alglinenumber}[1]{#1} - -\newenvironment{algo}[1]{ - \begin{algorithm} - \begin{spacing}{1.2} - \caption{\textsc{#1}} - \begin{algorithmic}[1] - }{ - \end{algorithmic} - \end{spacing} - \end{algorithm} -} - -% • ▌ ▄ ·. ▄▄▄· ▄▄▄▄▄ ▄ .▄ .▄▄ · ▄▄▄▄▄ ▄· ▄▌▄▄▌ ▄▄▄ . -% ·██ ▐███▪▐█ ▀█ •██ ██▪▐█ ▐█ ▀. •██ ▐█▪██▌██• ▀▄.▀· -% ▐█ ▌▐▌▐█·▄█▀▀█ ▐█.▪██▀▀█ ▄▀▀▀█▄ ▐█.▪▐█▌▐█▪██ ▪ ▐▀▀▪▄ -% ██ ██▌▐█▌▐█▪ ▐▌ ▐█▌·██▌▐▀ ▐█▄▪▐█ ▐█▌· ▐█▀·.▐█▌ ▄▐█▄▄▌ -% ▀▀ █▪▀▀▀ ▀ ▀ ▀▀▀ ▀▀▀ · ▀▀▀▀ ▀▀▀ ▀ • .▀▀▀ ▀▀▀ - -% Replace some commonly used commands with better ones -\renewcommand{\vec}[1]{\overrightarrow{#1}} -\renewcommand{\hat}[1]{\widehat{#1}} -\renewcommand{\tilde}[1]{\widetilde{#1}} -\newcommand{\proven}{$\hspace{17cm}\square$} - - -% ░█▒░▒▄▀▄░█▄░█░▄▀▒░█▒█▒▄▀▄░▄▀▒▒██▀░░░▄▀▀░▀█▀░▀▄▀░█▒░▒██▀ -% ▒█▄▄░█▀█░█▒▀█░▀▄█░▀▄█░█▀█░▀▄█░█▄▄▒░▒▄██░▒█▒░▒█▒▒█▄▄░█▄▄ - -% Specific styles for language summaries and docs -\newtcolorbox{conjugation}[2][]{mainboxstyle,colback=blue!5!white,colframe=blue!75!black,colbacktitle=blue!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large \translate{Conjugation}{Konjugation}};},#1} - -\newtcolorbox{forms}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Forms}{Formen}};},#1} - -% _____ _ _ -% (_ _) ( ) (_ ) -% | | _ _| |_ | | __ ___ -% | | / _ ) _ \ | | / __ \ __) -% | | ( (_| | |_) )| |( ___/__ \ -% (_) \__ _)_ __/(___)\____)____/ - - -\usepackage{booktabs} - -% Create new table. #1 Layout, #2 title row -\newenvironment{tables}[2]{ - \begin{center} - \begin{tabular}{#1} - \toprule - #2 \\ - \midrule - }{ - \bottomrule - \end{tabular} - \end{center} -} - -% Create new table in table env. #1 layout, #2 title row, #3 caption -\newenvironment{fullTable}[3]{ - \edef\tableCaption{#3} - \begin{table}[h!] - \begin{tables}{#1}{#2} - }{ - \end{tables} - \caption{\tableCaption} - \end{table} -} diff --git a/dist/recommended.tex b/dist/recommended.tex deleted file mode 100644 index 73fd54b..0000000 --- a/dist/recommended.tex +++ /dev/null @@ -1,1068 +0,0 @@ - -% ▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄▄ ▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄▄ -% █ █ █ █ █ █ █▄█ █ █ █ █ █ █ █ █ █ █ ▄ █ █ █ -% █ █ █ ▄ █▄ ▄█ ▄▄▄█ █ █ █▄█ █ ▄▄▄█ █ █ ▄ █ ▄▄▄█ █ █ █ █ ▄▄▄▄▄█ -% █ █ █ █▄█ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄█ █ █▄▄▄█ █▄▄█▄█ █▄▄▄▄▄ -% █ █▄▄▄█ █ █ █ █ ▄▄▄██ █ █ ▄ █ ▄▄▄█ █▄▄▄█ ▄▄▄█ ▄▄▄█ ▄▄ █▄▄▄▄▄ █ -% █ █ ▄ █ █ █ █ █▄▄▄█ ▄ █ █ █ █ █ █▄▄▄█ █ █ █ █▄▄▄█ █ █ █▄▄▄▄▄█ █ -% █▄▄▄▄▄▄▄█▄█ █▄▄█ █▄▄▄█ █▄▄▄▄▄▄▄█▄▄█ █▄▄█ █▄▄█ █▄▄█▄▄▄▄▄▄▄█▄▄▄▄▄▄▄█▄▄▄█ █▄▄▄▄▄▄▄█▄▄▄█ █▄█▄▄▄▄▄▄▄█ - - -% ▄▄█▀▀▀█▄█ -% ▄██▀ ▀█ -% ██▀ ▀ ▄██▀██▄▀███▄███ ▄▄█▀██ -% ██ ██▀ ▀██ ██▀ ▀▀ ▄█▀ ██ -% ██▄ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████▄ ▀█████▀ - -% This file contains all necessary dependencies for the document to compile (at all) and some core macros - -% Imports % -\typeout{[Core] Importing!} -\usepackage[table, dvipsnames]{xcolor} -\usepackage{amsmath} -\usepackage{graphicx} -\usepackage{subcaption} -\usepackage[export]{adjustbox} -\usepackage[most]{tcolorbox} -\usepackage{cancel} -\usepackage{dsfont} -\usepackage{amssymb} -\usepackage{mathrsfs} -\usepackage{ulem} -\usepackage{soul} -\usepackage{parskip} -\usepackage{fancyhdr} -\usepackage{lastpage} -\usepackage{tocloft} -\usepackage{wasysym} -\usepackage{wrapfig} -\usepackage{multicol} -\usepackage{ifthen} -\usepackage[hidelinks]{hyperref} -\usepackage{enumitem} -\usepackage{gensymb} -\usepackage{pifont} - - -% Language Switching. Currently only English and German are supported -% See docs for how to use -\newcounter{lang} - -\newcommand{\setLang}[1]{ - \edef\lang{#1} - \edef\en{en} - \edef\de{de} - \ifx\lang\en - \typeout{[Lang Switcher] Loading English} - \setcounter{lang}{1} - \else - \ifx\lang\de - \typeout{[Lang Switcher] Loading German} - \setcounter{lang}{2} - \usepackage[ngerman]{babel} - \else - \typeout{[Lang Switcher] No such language!} - \fi - \fi -} - -\newcommand{\loadLang}{ - \ifnum\value{lang}<2{ - \typeout{[Lang Loader] Loaded English} - }\else { - \typeout{[Lang Loader] Loaded German} - \setcounter{lang}{2} - } - \fi -} - - -% Create config counters / variables. See the config file for changing them -\newcounter{numberingConfig} -\newcounter{numberSubsections} -\newcounter{descriptorShadeStrength} -\newcounter{shadeStrength} - -% Set up the latex document, configure author, title (as first argument), as well as headers and footers -\newcommand{\setup}[1]{ - \typeout{[Setup] Setting up...} - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} - \makeatletter - \makeatother - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - \fancypagestyle{plain}{% - \fancyhead{} - \fancyhead[L]{#1} - \fancyhead[R]{\authorHeaders} - \fancyfoot{} - \fancyfoot[L]{\today} - \fancyfoot[R]{\thepage\ /\ \pageref{LastPage}} - } -} - -% Start document command (required) -\newcommand{\startDocument}{ - \maketitle - \startDocumentNoTitle -} - -\newcommand{\startDocumentNoTitle}{ - \pagestyle{fancy} - \thispagestyle{fancy} -} - -% Set up the latex document, only configuring the author, title and page size -\newcommand{\setupBarebones}[1]{ - \loadLang - \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - -% Set up the latex document for exam summaries (Extra wide body, small margins, no header) -\newcommand{\setupCheatSheet}[1]{ - \loadLang - \usepackage[a4paper,textwidth=20cm,textheight=28.5cm]{geometry} - \title{\Huge \textbf{#1}} - \author{\authorTitle} -} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Translatation │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\translate}[2]{\ifnum\value{lang}<2{#1}\else{#2}\fi} -\newcommand{\tr}[2]{\translate{#1}{#2}} - -% ┌ ┐ -% │ Translation aids (commonly used) │ -% └ ┘ -\newcommand{\trif}{\translate{if }{falls }} -\newcommand{\trIf}{\translate{If }{Falls }} -\newcommand{\trLet}{\translate{Let }{Sei }} -\newcommand{\trLets}{\translate{Let }{Seien }} -\newcommand{\trFor}{\translate{For }{Für }} -\newcommand{\trfor}{\translate{for }{für }} -\newcommand{\trand}{\translate{and }{und }} -\newcommand{\tror}{\translate{or }{oder }} -\newcommand{\trst}{\translate{s.t. }{s.d. }} -\newcommand{\trsuchthat}{\translate{such that }{so dass }} -\newcommand{\trwith}{\translate{with }{mit }} - -% ___ ___ -% ( _ \ / ___)_ -% | ( (_) _ ___ | (__ (_) __ -% | | _ / _ \/ _ \ __)| |/ _ \ -% | (_( ) (_) ) ( ) | | | | (_) | -% (____/ \___/(_) (_)_) (_)\__ | -% ( )_) | -% \___/ - -% To be loaded *after* main/core.tex - -% Configure your author name here -\newcommand{\authorTitle}{Janis Hutz\\\url{https://janishutz.com}} -\newcommand{\authorHeaders}{Janis Hutz} - -% Configure your address here -\newcommand{\name}{Janis Hutz} -\newcommand{\street}{Street} -\newcommand{\city}{City} -\newcommand{\countrycode}{CH} - - -% Configure definition, lemma, theorem, etc numbering behaviour. 1 = Individual, 2 = Combined (apart from Definition), 3 = Combined -\setcounter{numberingConfig}{1} - -% Configure if for definitions, lemmas, etc, numbering should be (0) =
. or (1) =
.. or (2) =
... -\setcounter{numberSubsections}{0} - -% Set the default language. -\setLang{en} - -% Set the default command for theorem translation -\newcommand{\theoremde}{Satz} - - -% ----- % -% STYLE % -% ----- % - -% The colour-saturation of the short / inline descriptors (default = 40) -\setcounter{descriptorShadeStrength}{40} - -% The colour-saturation of the shade command (default = 20) -\setcounter{shadeStrength}{20} - -%░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░ -%░░░ ░░░░░ ░░░░░░░░░░░░░ ░░░░░░░░░░░ -%▒ ▒▒▒▒ ▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒▒▒ ▒▒▒▒▒▒▒▒▒▒▒ -%▒▒ ▒▒▒▒▒▒▒ ▒ ▒ ▒▒▒ ▒ ▒▒▒▒ ▒▒▒▒ -%▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ -%▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ -%▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ -%███ ██████ █████ ████ ███ ███ -%██████████████████████ ███████████████████ - -% Global style configs for tcolorbox (to reduce bloat) -\newcommand{\usetcolorboxes}{ - \tcbset{ - mainboxstyle/.style={ - arc=3mm, - colback=red!5!white, - colframe=red!75!black, - colbacktitle=red!75!black, - fonttitle=\bfseries, - enhanced, - attach boxed title to top left={yshift=-2mm,xshift=5mm}, - breakable, - top=0.4cm, - } - } - \tikzset{ - overlaystyle/.style={ - draw=red!75!black, - thick, - fill=red!75!black, - left, - anchor=east, - text=white, - rounded corners=1mm, - font=\bfseries, - xshift=-5mm, - yshift=1mm, - inner xsep=3mm, - inner ysep=1.5mm - } - } -} - -% -------------------- % -% Small style elements % -% -------------------- % -\newcommand{\setFont}[1]{\fontfamily{#1}\selectfont} -\newcommand{\setFontType}[1]{ - \ifthenelse{\equal{#1}{mono}}{ - \renewcommand{\familydefault}{\ttdefault} - }{ - \ifthenelse{\equal{#1}{serif}}{ - \renewcommand{\familydefault}{\rmdefault} - }{ - \renewcommand{\familydefault}{\sfdefault} - } - } -} -\newcommand{\rmvspace}{\vspace{-0.5pc}} -\newcommand{\drmvspace}{\vspace{-1pc}} -\renewcommand{\footrulewidth}{0.4pt} -\newcommand{\TODO}{\color{red} \hl{TODO:} \color{black}} -\newcommand{\bi}[1]{\textbf{\textit{#1}}} -\renewcommand{\quote}[1]{``\textit{#1}''} - -% Add a color shade (similar to \fhlc, but nicer boxes) -\newcommand{\background}[3]{\tcbox[on line, - boxsep=2pt, - left=0pt, - right=0pt, - top=0pt, - bottom=0pt, - colframe=white, - frame empty, - colback=#1!#2!white, - highlight math style={enhanced} - ] {\textbf{#3}}} - -% Abstraction of background, where the brightness is set to 20% -\newcommand{\shade}[2]{\background{#1}{\arabic{shadeStrength}}{#2}} - -% This command is used for the short and inline descriptors -\newcommand{\bg}[2]{\background{#1}{\arabic{descriptorShadeStrength}}{#2}} - -% Add a gray backdrop -\newcommand{\backdrop}[1]{\shade{black}{#1}} - - -% Fancy highlighting (Bold, underlined, colorbox behind it. Shorthand for \fhlc{white}{#1} -\newcommand{\fhl}[1]{\fhlc{white}{#1}} - -% Add a colorbox around your text with the color specified. Text is bold and underlined -\newcommand{\fhlc}[2]{\textbf{\underline{\colorbox{#1}{#2}}}} - -% Draw box around links. First arg link, second arg display -\newcommand{\hlhref}[2]{\color{MidnightBlue}\fbox{\href{#1}{#2}}\color{black}} - -% Same for urls (just one arg tho) -\newcommand{\hlurl}[1]{\color{MidnightBlue}\fbox{\url{#1}}\color{black}} - -% Spacing (horizontal) -\newcommand{\smallhspace}{\hspace{2mm}} -\newcommand{\mediumhspace}{\hspace{5mm}} -\newcommand{\largehspace}{\hspace{1cm}} - -% ----------------- % -% Table of contents % -% ----------------- % - -% Print a table of contents as a tcolorbox -\newcommand{\printtoc}[1]{ - \renewcommand{\cfttoctitlefont}{} - \renewcommand{\cftaftertoctitle}{\vspace{-0.75cm}} - \renewcommand{\contentsname}{} - \begin{tcolorbox}[colback=black!5!white,colbacktitle=#1!75!black,coltitle=black,enhanced,attach boxed title to top center={yshift=-2mm}, - title={\Large \ifnum\value{lang}<2{Contents}\else {Inhaltsverzeichnis}\fi},fonttitle=\bfseries,breakable] - \hspace{1cm} - \tableofcontents - \end{tcolorbox} -} - -%▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ -%██░▄▄▀█▀▄▄▀█░▄▀▄░█░▄▀▄░█▀▄▄▀█░▄▄▀ -%██░████░██░█░█▄█░█░█▄█░█░██░█░██░ -%██░▀▀▄██▄▄██▄███▄█▄███▄██▄▄██▄██▄ -%▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ - -\newtcolorbox{recall}[2][]{mainboxstyle,colback=yellow!5!white,colframe=yellow!75!black,colbacktitle=yellow!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=yellow!75!black,,fill=yellow!75!black] at (frame.north east) {\large \translate{Recall }{Repetition }};},#1} - -\newtcolorbox{remarks}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Remarks }{Bemerkungen }};},#1} - -\newtcolorbox{guides}[3][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,,fill=red!75!black] at (frame.north east) {\large #3};},#1} - - -\newtcolorbox{properties}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Properties }{Eigenschaften }};},#1} - 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overlay={\node[overlaystyle,draw=orange!75!black,,fill=orange!75!black] at (frame.north east) {\large \translate{Terms }{Begriffe }};},#1} - -\newtcolorbox{notation}[2][]{mainboxstyle,colback=Peach!5!white,colframe=Peach!75!black,colbacktitle=Peach!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Peach!75!black,,fill=Peach!75!black] at (frame.north east) {\large Notation};},#1} - - -\newtcolorbox{usage}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Usage }{Nutzung }};},#1} - - -% Task -\newtcolorbox{task}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2},overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Task}{Aufgabe}};},#1} - - -% Proof -\newtcolorbox{proof}[2][]{mainboxstyle,colback=magenta!5!white,colframe=magenta!75!black,colbacktitle=magenta!75!black,title={\large #2},overlay={\node[overlaystyle,draw=magenta!75!black,fill=magenta!75!black] at (frame.north east) {\large \translate{Proof}{Beweis}};},#1} - - -% General -\newtcolorbox{general}[4][]{mainboxstyle,colback=#4!5!white,colframe=#4!75!black,colbacktitle=#4!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=#4!75!black,,fill=#4!75!black] at (frame.north east) {\large #3};},#1} - -% Simple -\newtcolorbox{simplebox}[2][]{colback=#2!5!white,colframe=#2!75!black,#1} - -% ▄▄ -% ▀████▄ ▄███▀ ██ ███ -% ████ ████ ██ ██ -% █ ██ ▄█ ██ ▄█▀██▄ ██████ ███████▄ -% █ ██ █▀ ██ ██ ██ ██ ██ ██ -% █ ██▄█▀ ██ ▄█████ ██ ██ ██ -% █ ▀██▀ ██ ██ ██ ██ ██ ██ -% ▄███▄ ▀▀ ▄████▄████▀██▄ ▀███████ ████▄ - - -% BB shortcuts (for number spaces, etc) -\newcommand{\A}{\mathbb{A}} -\newcommand{\B}{\mathbb{B}} -\newcommand{\C}{\mathbb{C}} -\newcommand{\D}{\mathbb{D}} -\newcommand{\E}{\mathbb{E}} -\newcommand{\F}{\mathbb{F}} -\newcommand{\G}{\mathbb{G}} -\renewcommand{\H}{\mathbb{H}} -\newcommand{\I}{\mathbb{I}} -\newcommand{\J}{\mathbb{J}} -\newcommand{\K}{\mathbb{K}} -\renewcommand{\L}{\mathbb{L}} -\newcommand{\M}{\mathbb{M}} -\newcommand{\N}{\mathbb{N}} -\renewcommand{\O}{\mathbb{O}} -\renewcommand{\P}{\mathbb{P}} -\newcommand{\Q}{\mathbb{Q}} -\newcommand{\R}{\mathbb{R}} -\renewcommand{\S}{\mathbb{S}} -\newcommand{\T}{\mathbb{T}} -\newcommand{\U}{\mathbb{U}} -\newcommand{\V}{\mathbb{V}} -\newcommand{\W}{\mathbb{W}} -\newcommand{\X}{\mathbb{X}} -\newcommand{\Y}{\mathbb{Y}} -\newcommand{\Z}{\mathbb{Z}} - -% Caligraphic -\newcommand{\cA}{\mathcal{A}} -\newcommand{\cB}{\mathcal{B}} -\newcommand{\cC}{\mathcal{C}} -\newcommand{\cD}{\mathcal{D}} -\newcommand{\cE}{\mathcal{E}} -\newcommand{\cF}{\mathcal{F}} -\newcommand{\cG}{\mathcal{G}} -\newcommand{\cH}{\mathcal{H}} -\newcommand{\cI}{\mathcal{I}} -\newcommand{\cJ}{\mathcal{J}} -\newcommand{\cK}{\mathcal{K}} -\newcommand{\cL}{\mathcal{L}} -\newcommand{\cM}{\mathcal{M}} -\newcommand{\cN}{\mathcal{N}} -\newcommand{\cO}{\mathcal{O}} -\newcommand{\cP}{\mathcal{P}} -\newcommand{\cQ}{\mathcal{Q}} -\newcommand{\cR}{\mathcal{R}} -\newcommand{\cS}{\mathcal{S}} -\newcommand{\cT}{\mathcal{T}} -\newcommand{\cU}{\mathcal{U}} -\newcommand{\cV}{\mathcal{V}} -\newcommand{\cW}{\mathcal{W}} -\newcommand{\cX}{\mathcal{X}} -\newcommand{\cY}{\mathcal{Y}} -\newcommand{\cZ}{\mathcal{Z}} - -% other useful shortcuts -\newcommand{\elementstack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}} -\newcommand{\8}{\infty} -\newcommand{\cond}{\text{cond}} -\newcommand{\argmin}[1]{\underset{#1}{\text{argmin}}} -\newcommand{\dx}{\text{ d}} -\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor} -\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil} -\newcommand{\hastoeq}{\overset{!}{=}} -\newcommand{\Leftrightarrowequiv}{\overset{\cdot}{\Leftrightarrow}} -\newcommand{\Longleftrightarrowequiv}{\overset{\cdot}{\Longleftrightarrow}} -\newcommand{\Rightarrowequiv}{\overset{\cdot}{\Rightarrow}} -\newcommand{\Leftarrowequiv}{\overset{\cdot}{\Leftarrow}} -\newcommand{\defAs}{\overset{\text{def}}{=}} -\newcommand{\der}[1]{\frac{\mbox{d}}{\mbox{d}#1}} -\newcommand{\dern}[2]{\frac{\mbox{d}^{#2}}{\mbox{d}^{#2}#1}} -\newcommand{\parder}[1]{\frac{\partial}{\partial #1}} -\newcommand{\pardern}[2]{\frac{\partial^{#2}}{\partial^{#2} #1}} -\newcommand{\defEquiv}{\overset{\text{def}}{\Leftrightarrow}} -\newcommand{\defImplies}{\overset{\text{def}}{\Rightarrow}} -\newcommand{\divides}{\hspace{0.25em}|\hspace{0.25em}} -\newcommand{\mbeq}{\overset{!}{=}} -\newcommand{\lcm}{\text{lcm}} -\newcommand{\limit}[2]{\lim_{#1 \rightarrow #2}} -\newcommand{\seq}[1]{(#1_n)_{n \geq 1}} -\newcommand{\ser}[2]{\sum_{k = 1}^{#2} #1_k} -\newcommand{\limni}{\limit{n}{\infty}} -\newcommand{\limnz}{\limit{n}{0}} -\newcommand{\limxz}{\limit{x_0}{0}} -\newcommand{\limhz}{\limit{h}{0}} -\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}} -\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}} -\DeclareMathOperator\arctanh{arctanh} -\DeclareMathOperator\arccosh{arccosh} -\DeclareMathOperator\arcsinh{arcsinh} - - -% ░▒█▀▀▄░▄▀▀▄░█▀▄▀█░▄▀▀▄░█░▒█░▀█▀░█▀▀░█▀▀▄░░░▒█▀▀▀█░█▀▄░░▀░░█▀▀░█▀▀▄░█▀▄░█▀▀ -% ░▒█░░░░█░░█░█░▀░█░█▄▄█░█░▒█░░█░░█▀▀░█▄▄▀░░░░▀▀▀▄▄░█░░░░█▀░█▀▀░█░▒█░█░░░█▀▀ -% ░▒█▄▄▀░░▀▀░░▀░░▒▀░█░░░░░▀▀▀░░▀░░▀▀▀░▀░▀▀░░░▒█▄▄▄█░▀▀▀░▀▀▀░▀▀▀░▀░░▀░▀▀▀░▀▀▀ - -% Extra imports -\usepackage{stmaryrd} -\usepackage{algorithm} -\usepackage{algpseudocodex} -\usepackage{setspace} -\usepackage{verbatim} -\usepackage{turnstile} -\usepackage{forloop} - -\newcommand{\Indent}{\hspace{\algorithmicindent}} - -\newcommand{\timecomplexity}{\fhlc{orange}{\ifnum\value{lang}<2{Time complexity}\else {Laufzeit}\fi} \hspace{0.5em}} -\newcommand{\tc}[1]{\timecomplexity $\Theta\left(#1\right)$} -\newcommand{\tct}[1]{\Theta\left(#1\right)} -\newcommand{\tco}[1]{\mathcal{O}\left(#1\right)} -\newcommand{\tcl}[1]{\Omega\left(#1\right)} -\newcommand{\wordbool}{(\Sigma_{\text{bool}})^*} -\newcommand{\words}[1]{(\Sigma_{\text{#1}})^*} -\newcommand{\word}{\Sigma^*} -\newcommand{\wordm}[1]{\Sigma_{\text{#1}}^*} -\newcommand{\alphabets}[1]{\Sigma_{\text{#1}}} -\newcommand{\alphabetbool}{\Sigma_{\text{bool}}} -\newcommand{\tR}{\text{R}} -\newcommand{\tC}{\text{C}} -\newcommand{\tN}{\text{N}} -\newcommand{\bigvdash}[2]{\sststile{#1}{#2}} -\newcommand{\class}{\text{\tr{Cl}{Kl}}} - -% ▄▄ -% ▀████▀ ▀███ -% ██ ██ -% ██ ▀████████▄ ▄█▀▀███ ▄▄█▀██▀██▀ ▀██▀ -% ██ ██ ██ ▄██ ██ ▄█▀ ██ ▀██ ▄█▀ -% ██ ██ ██ ███ ██ ██▀▀▀▀▀▀ ███ -% ██ ██ ██ ▀██ ██ ██▄ ▄ ▄█▀ ██▄ -% ▄████▄████ ████▄ ▀████▀███▄ ▀█████▀██▄ ▄██▄ - - -% For using index package -\newcommand{\prepareIndex}{ - \usepackage[T1]{fontenc} - \usepackage{imakeidx} - \makeindex -} - -\newcommand{\addIndexBold}[1]{\textbf{\index{\MakeLowercase{#1}} #1}} -\newcommand{\addIndexItalic}[1]{\textit{\index{\MakeLowercase{#1}} #1}} -\newcommand{\addIndex}[1]{\index{\MakeLowercase{#1}} #1} - - - -% ▄▄· ▄• ▄▌ ▐ ▄ ▄▄▄▄▄▄▄▄ .▄▄▄ -% ▐█ ▌▪ ▄█▀▄ █▪██▌•█▌▐█•██ ▀▄.▀·▀▄ █· -% ██ ▄▄▐█▌.▐▌█▌▐█▌▐█▐▐▌ ▐█.▪▐▀▀▪▄▐▀▀▄ -% ▐███▌▐█▌.▐▌▐█▄█▌██▐█▌ ▐█▌·▐█▄▄▌▐█•█▌ -% ·▀▀▀ ▀█▄▀▪ ▀▀▀ ▀▀ █▪ ▀▀▀ ▀▀▀ .▀ ▀ - -\usepackage{xstring} -\usepackage{etoolbox} -% tcolorbox and other stylistic elements (i.e. inline versions of them) that have counters -\newcounter{lemma}[section] -\newcounter{definition}[section] -\newcounter{corollary}[section] -\newcounter{theorem}[section] -\newcounter{axiom}[section] -\newcounter{example}[section] -\newcounter{fact}[section] -\newcounter{proposition}[section] -\newcounter{formula}[section] -\newcounter{remark}[section] -\newcounter{all}[section] - -\newcounter{lemmass}[subsection] -\newcounter{definitionss}[subsection] -\newcounter{corollaryss}[subsection] -\newcounter{theoremss}[subsection] -\newcounter{axiomss}[subsection] -\newcounter{exampless}[subsection] -\newcounter{factss}[subsection] -\newcounter{propositionss}[subsection] -\newcounter{formulass}[subsection] -\newcounter{remarkss}[subsection] -\newcounter{allss}[subsection] - -\newcounter{lemmasss}[subsubsection] -\newcounter{definitionsss}[subsubsection] -\newcounter{corollarysss}[subsubsection] -\newcounter{theoremsss}[subsubsection] -\newcounter{axiomsss}[subsubsection] -\newcounter{examplesss}[subsubsection] -\newcounter{factsss}[subsubsection] -\newcounter{propositionsss}[subsubsection] -\newcounter{formulasss}[subsubsection] -\newcounter{remarksss}[subsubsection] -\newcounter{allsss}[subsubsection] - -% Set the current number of a label -\newcommand{\setLabelNumber}[2]{% - \setcounter{#1}{#2}% - \addtocounter{#1}{-1}% - \setcounter{#1ss}{#2}% - \addtocounter{#1ss}{-1}% - \setcounter{#1sss}{#2}% - \addtocounter{#1sss}{-1}% -} - -\newcommand{\stepLabelNumber}[1]{% - \stepcounter{#1}% - \stepcounter{#1ss}% - \stepcounter{#1sss}% -} - -\newcommand{\printcounter}[1]{% - \csname the#1\endcsname -} - -\newcommand{\suffix}{ss} -\newcommand{\sectionNumbering}{\thesection} - -% ┌ ┐ -% │ Counter numbering │ -% └ ┘ -\newcommand{\preTableAndFigHook}[1]{% - \ifnum\value{numberingConfig}>1 - \ifnum\value{numberSubsections}=1 - \stepcounter{allss} - \else - \ifnum\value{numberSubsections}=2 - \stepcounter{allsss} - \else - \stepcounter{all} - \fi - \fi - \fi -} -\AtBeginEnvironment{table}{\preTableAndFigHook{table}} -\AtBeginEnvironment{figure}{\preTableAndFigHook{figure}} - -\newcommand{\applyTableAndFigureNumbering}{ - % Tables & Figures - \ifnum\value{numberingConfig}=0 - \renewcommand{\thetable}{} - \renewcommand{\thefigure}{} - \else - \ifnum\value{numberingConfig}=1 - \renewcommand{\thetable}{\sectionNumbering.\arabic{table}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{figure}} - \else - \ifnum\value{numberSubsections}=1 - \renewcommand{\thetable}{\sectionNumbering.\arabic{allss}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{allss}} - \else - \ifnum\value{numberSubsections}=2 - \renewcommand{\thetable}{\refstepcounter{allsss}\sectionNumbering.\arabic{allsss}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{allsss}} - \else - \renewcommand{\thetable}{\sectionNumbering.\arabic{all}} - \renewcommand{\thefigure}{\sectionNumbering.\arabic{all}} - \fi - \fi - \fi - \fi -} - -\newcommand{\setSubsectionNumbering}[1]{ - \setcounter{numberSubsections}{#1} - \applySubsectionNumbering -} - -\newcommand{\applySubsectionNumbering}{ - \ifnum\value{numberSubsections}=1 - \renewcommand{\sectionNumbering}{\thesubsection} - \renewcommand{\suffix}{ss} - \typeout{Numbering as section.subsection.number} - \else - \ifnum\value{numberSubsections}=2 - \renewcommand{\sectionNumbering}{\thesubsubsection} - \renewcommand{\suffix}{sss} - \typeout{Numbering as section.subsection.subsubsection.number} - \else - \renewcommand{\sectionNumbering}{\thesection} - \renewcommand{\suffix}{} - \typeout{Numbering as section.number} - \fi - \fi - \applyTableAndFigureNumbering - - \renewcommand{\thelemma}{\sectionNumbering.\arabic{lemma}} - \renewcommand{\thedefinition}{\sectionNumbering.\arabic{definition}} - \renewcommand{\thecorollary}{\sectionNumbering.\arabic{corollary}} - \renewcommand{\thetheorem}{\sectionNumbering.\arabic{theorem}} - \renewcommand{\theaxiom}{\sectionNumbering.\arabic{axiom}} - \renewcommand{\theexample}{\sectionNumbering.\arabic{example}} - \renewcommand{\thefact}{\sectionNumbering.\arabic{fact}} - \renewcommand{\theproposition}{\sectionNumbering.\arabic{proposition}} - \renewcommand{\theformula}{\sectionNumbering.\arabic{formula}} - \renewcommand{\theremark}{\sectionNumbering.\arabic{remark}} - \renewcommand{\theall}{\sectionNumbering.\arabic{all}} - - \renewcommand{\thelemmass}{\sectionNumbering.\arabic{lemmass}} - \renewcommand{\thedefinitionss}{\sectionNumbering.\arabic{definitionss}} - \renewcommand{\thecorollaryss}{\sectionNumbering.\arabic{corollaryss}} - \renewcommand{\thetheoremss}{\sectionNumbering.\arabic{theoremss}} - \renewcommand{\theaxiomss}{\sectionNumbering.\arabic{axiomss}} - \renewcommand{\theexampless}{\sectionNumbering.\arabic{exampless}} - \renewcommand{\thefactss}{\sectionNumbering.\arabic{factss}} - \renewcommand{\thepropositionss}{\sectionNumbering.\arabic{propositionss}} - \renewcommand{\theformulass}{\sectionNumbering.\arabic{formulass}} - \renewcommand{\theremarkss}{\sectionNumbering.\arabic{remarkss}} - \renewcommand{\theallss}{\sectionNumbering.\arabic{allss}} - - \renewcommand{\thelemmasss}{\sectionNumbering.\arabic{lemmasss}} - \renewcommand{\thedefinitionsss}{\sectionNumbering.\arabic{definitionsss}} - \renewcommand{\thecorollarysss}{\sectionNumbering.\arabic{corollarysss}} - \renewcommand{\thetheoremsss}{\sectionNumbering.\arabic{theoremsss}} - \renewcommand{\theaxiomsss}{\sectionNumbering.\arabic{axiomsss}} - \renewcommand{\theexamplesss}{\sectionNumbering.\arabic{examplesss}} - \renewcommand{\thefactsss}{\sectionNumbering.\arabic{factsss}} - \renewcommand{\thepropositionsss}{\sectionNumbering.\arabic{propositionsss}} - \renewcommand{\theformulasss}{\sectionNumbering.\arabic{formulasss}} - \renewcommand{\theremarksss}{\sectionNumbering.\arabic{remarksss}} - \renewcommand{\theallsss}{\sectionNumbering.\arabic{allsss}} -} -\applySubsectionNumbering - -% ── Label generation ──────────────────────────────────────────────── -\newcommand{\labelSectionGeneration}{% - \ifnum\value{numberSubsections}=1 - \arabic{section}-\arabic{subsection}% - \else - \ifnum\value{numberSubsections}=2 - \arabic{section}-\arabic{subsection}-\arabic{subsubsection}% - \else - \arabic{section}% - \fi - \fi} - -\newcommand{\labelIt}[1]{\refstepcounter{#1\suffix}\edef\tempLabel{\genLabel{#1}{\arabic{#1\suffix}}}\label{\tempLabel}} -\newcommand{\genLabel}[2]{#1:\labelSectionGeneration-#2} - -% ┌ ┐ -% │ Number the counters appropriately │ -% └ ┘ -\newcommand{\usenumberArabic}[1]{% - \ifnum\value{numberingConfig}=1 - \labelIt{#1} - \printcounter{#1\suffix}% - \else - \ifnum\value{numberingConfig}=2 - \ifthenelse{\equal{#1}{definitions}}{% - \labelIt{definition} - \printcounter{definition\suffix}% - }{% - \labelIt{all} - \printcounter{all\suffix}% - }% - \else - \ifnum\value{numberingConfig}=3 - \labelIt{all} - \printcounter{all\suffix}% - \else - \relax% - \fi - \fi - \fi} - - -% ──────────────────────────────────────────────────────────────────── -% ┌ ┐ -% │ Enable or disable numbering │ -% └ ┘ -% Initialize with config file -\newcounter{numberingConfigStore} -\setcounter{numberingConfigStore}{\value{numberingConfig}} - -% For later change -\newcommand{\setNumberingStyle}[1]{ - \typeout{Setting NumberingStyle to #1} - \setcounter{numberingConfig}{#1} - \ifthenelse{\equal{#1}{0}}{}{ - \setcounter{numberingConfigStore}{#1} - } - \applyTableAndFigureNumbering -} - -% Enable / disable numbering -\newcommand{\numberingOff}{ - \setcounter{numberingConfig}{0} - \applyTableAndFigureNumbering -} -\newcommand{\numberingOn}{ - \setcounter{numberingConfig}{\value{numberingConfigStore}} - \applyTableAndFigureNumbering -} - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Reset definition, lemma, etc counters, add a │ -% │ new page │ -% ╰────────────────────────────────────────────────╯ -\newcommand{\newsection}{ - \newpage - \newsectionNoPB -} - -% ── Reset definitions, lemma, etc counters, do not add new page ───── -\newcommand{\newsectionNoPB}{ - \setcounter{lemma}{0} - \setcounter{definition}{0} - \setcounter{corollary}{0} - \setcounter{theorem}{0} - \setcounter{axiom}{0} - \setcounter{example}{0} - \setcounter{fact}{0} - \setcounter{proposition}{0} - \setcounter{formula}{0} - \setcounter{remark}{0} - \setcounter{all}{0} - - \setcounter{lemmass}{0} - \setcounter{definitionss}{0} - \setcounter{corollaryss}{0} - \setcounter{theoremss}{0} - \setcounter{axiomss}{0} - \setcounter{exampless}{0} - \setcounter{factss}{0} - \setcounter{propositionss}{0} - \setcounter{formulass}{0} - \setcounter{remarkss}{0} - \setcounter{allss}{0} - - \setcounter{lemmasss}{0} - \setcounter{definitionsss}{0} - \setcounter{corollarysss}{0} - \setcounter{theoremsss}{0} - \setcounter{axiomsss}{0} - \setcounter{examplesss}{0} - \setcounter{factsss}{0} - \setcounter{propositionsss}{0} - \setcounter{formulasss}{0} - \setcounter{remarksss}{0} - \setcounter{allsss}{0} - - % Tables & Figures - \setcounter{table}{0} - \setcounter{figure}{0} -} -\newsectionNoPB % Initializes - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Tcolorboxes │ -% ╰────────────────────────────────────────────────╯ -% ──────────────────────────────────────────────────────────────────── - -% Definitions -\newtcolorbox{definition}[2][]{mainboxstyle,colback=blue!5!white,colframe=blue!75!black,colbacktitle=blue!75!black,title={\large #2},overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large Definition\usenumberArabic{definition}};},#1} - -% Theorems -\newtcolorbox{theorem}[2][]{mainboxstyle,colback=ForestGreen!5!white,colframe=ForestGreen!75!black,colbacktitle=ForestGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=ForestGreen!75!black,fill=ForestGreen!75!black] at (frame.north east) {\large \translate{Theorem}{\theoremde}\usenumberArabic{theorem}};},#1} - -% Lemmas -\newtcolorbox{lemma}[2][]{mainboxstyle,colback=Aquamarine!5!white,colframe=Aquamarine!75!black,colbacktitle=Aquamarine!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Aquamarine!75!black,fill=Aquamarine!75!black] at (frame.north east) {\large Lemma\usenumberArabic{lemma}};},#1} - -% Corollaries -\newtcolorbox{corollary}[2][]{mainboxstyle,colback=teal!5!white,colframe=teal!75!black,colbacktitle=teal!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=teal!75!black,fill=teal!75!black] at (frame.north east) {\large \translate{Corollary}{Korollar}\usenumberArabic{corollary}};},#1} - -% Axioms -\newtcolorbox{axiom}[2][]{mainboxstyle,colback=JungleGreen!5!white,colframe=JungleGreen!75!black,colbacktitle=JungleGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=JungleGreen!75!black,fill=JungleGreen!75!black] at (frame.north east) {\large Axiom\usenumberArabic{axiom}};},#1} - -% Facts -\newtcolorbox{fact}[2][]{mainboxstyle,colback=SeaGreen!5!white,colframe=SeaGreen!75!black,colbacktitle=SeaGreen!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=SeaGreen!75!black,fill=SeaGreen!75!black] at (frame.north east) {\large \translate{Fact}{Fakt}\usenumberArabic{fact}};},#1} - -% Propositions -\newtcolorbox{proposition}[2][]{mainboxstyle,colback=Cyan!5!white,colframe=Cyan!75!black,colbacktitle=Cyan!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=Cyan!75!black,fill=Cyan!75!black] at (frame.north east) {\large Proposition\usenumberArabic{proposition}};},#1} - -% Examples -\newtcolorbox{example}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Example}{Beispiel}\usenumberArabic{example}};},#1} - -% Formula -\newtcolorbox{formula}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Formula}{Formel}\usenumberArabic{formula}};},#1} - -% Remark -\newtcolorbox{remark}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=green!75!black,fill=green!75!black] at (frame.north east) {\large \translate{Remark}{Bemerkung} \usenumberArabic{remark}};},#1} - - -% ──────────────────────────────────────────────────────────────────── -% ╭────────────────────────────────────────────────╮ -% │ Inline environments │ -% ╰────────────────────────────────────────────────╯ -% ──────────────────────────────────────────────────────────────────── - - -% Inline environments (inline) -\newcommand{\inlineex}{\bg{gray}{\translate{Example}{Beispiel}\usenumberArabic{example}:}} -\newcommand{\inlinedef}{\bg{blue}{Definition\usenumberArabic{definition}:}} -\newcommand{\inlineformula}{\bg{red}{\translate{Formula}{Formel}\usenumberArabic{formula}:}} -\newcommand{\inlinelemma}{\bg{Aquamarine}{Lemma\usenumberArabic{lemma}:}} -\newcommand{\inlinetheorem}{\bg{ForestGreen}{\translate{Theorem}{\theoremde}\usenumberArabic{theorem}:}} -\newcommand{\inlineaxiom}{\bg{JungleGreen}{Axiom\usenumberArabic{axiom}:}} -\newcommand{\inlinecorollary}{\bg{teal}{\translate{Corollary}{Korollar}\usenumberArabic{corollary}:}} -\newcommand{\inlinefact}{\bg{SeaGreen}{\translate{Fact}{Fakt}\usenumberArabic{fact}:}} -\newcommand{\inlineproposition}{\bg{Cyan}{Proposition\usenumberArabic{proposition}:}} -\newcommand{\inlineremark}{\bg{green}{\translate{Remark}{Bemerkung}\usenumberArabic{remark}:}} -\newcommand{\inlineproof}{\bg{magenta}{\translate{Proof}{Beweis}:}} - -% Enhanced inline environments -\newcommand{\fancyex}[1]{\bg{gray}{\translate{Example}{Beispiel}\usenumberArabic{example}:} \textit{(#1)}} -\newcommand{\fancydef}[1]{\bg{blue}{Definition\usenumberArabic{definition}:} \textit{(#1)}} -\newcommand{\fancyformula}[1]{\bg{red}{\translate{Formula}{Formel}\usenumberArabic{formula}:} \textit{(#1)}} -\newcommand{\fancylemma}[1]{\bg{Aquamarine}{Lemma\usenumberArabic{lemma}:} \textit{(#1)}} -\newcommand{\fancytheorem}[1]{\bg{ForestGreen}{\translate{Theorem}{\theoremde}\usenumberArabic{theorem}:} \textit{(#1)}} -\newcommand{\fancyaxiom}[1]{\bg{JungleGreen}{Axiom\usenumberArabic{axiom}:} \textit{(#1)}} -\newcommand{\fancycorollary}[1]{\bg{teal}{\translate{Corollary}{Korollar}\usenumberArabic{corollary}:} \textit{(#1)}} -\newcommand{\fancyfact}[1]{\bg{SeaGreen}{\translate{Fact}{Fakt}\usenumberArabic{fact}:} \textit{(#1)}} -\newcommand{\fancyproposition}[1]{\bg{Cyan}{Proposition\usenumberArabic{proposition}:} \textit{(#1)}} -\newcommand{\fancyremark}[1]{\bg{green}{\translate{Remark}{Bemerkung}\usenumberArabic{remark}:} \textit{(#1)}} -\newcommand{\fancyproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}} - -% short environments (abbreviated) -\newcommand{\shortex}{\bg{gray}{\translate{Ex}{Bsp}\usenumberArabic{example}:}} -\newcommand{\shortdef}{\bg{blue}{D\usenumberArabic{definition}:}} -\newcommand{\short}{\bg{red}{F\usenumberArabic{formula}:}} -\newcommand{\shortlemma}{\bg{Aquamarine}{L\usenumberArabic{lemma}:}} -\newcommand{\shorttheorem}{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}}\usenumberArabic{theorem}:}} -\newcommand{\shortaxiom}{\bg{JungleGreen}{A\usenumberArabic{axiom}:}} -\newcommand{\shortcorollary}{\bg{teal}{\translate{C}{K}\usenumberArabic{corollary}:}} -\newcommand{\shortfact}{\bg{SeaGreen}{F\usenumberArabic{fact}:}} -\newcommand{\shortproposition}{\bg{Cyan}{P\usenumberArabic{proposition}:}} -\newcommand{\shortremark}{\bg{green}{\tr{R}{B}\usenumberArabic{remark}:}} -\newcommand{\shortproof}{\bg{magenta}{\translate{Proof}{Beweis}:}} - -% Enhanced short environments (abbreviated) -\newcommand{\compactex}[1]{\bg{gray}{\translate{Ex}{Bsp}\usenumberArabic{example}:} \textit{(#1)}} -\newcommand{\compactdef}[1]{\bg{blue}{D\usenumberArabic{definition}:} \textit{(#1)}} -\newcommand{\compactformula}[1]{\bg{red}{F\usenumberArabic{formula}:} \textit{(#1)}} -\newcommand{\compactlemma}[1]{\bg{Aquamarine}{L\usenumberArabic{lemma}:} \textit{(#1)}} -\newcommand{\compacttheorem}[1]{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}} \usenumberArabic{theorem}:} \textit{(#1)}} -\newcommand{\compactaxiom}[1]{\bg{JungleGreen}{A\usenumberArabic{axiom}:} \textit{(#1)}} -\newcommand{\compactcorollary}[1]{\bg{teal}{\translate{C}{K}\usenumberArabic{corollary}:} \textit{(#1)}} -\newcommand{\compactfact}[1]{\bg{SeaGreen}{F\usenumberArabic{fact}:} \textit{(#1)}} -\newcommand{\compactproposition}[1]{\bg{Cyan}{P\usenumberArabic{proposition}:} \textit{(#1)}} -\newcommand{\compactremark}[1]{\bg{green}{\tr{R}{B}\usenumberArabic{remark}:} \textit{(#1)}} -\newcommand{\compactproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}} - -% ▄▄ -% ▄▄█▀▀▀█▄█ ██ ▄█▀▀▀█▄█ ██ -% ▄██▀ ▀█ ██ ▄██ ▀█ -% ██▀ ▀ ▄██▀██▄▀████████▄█████▄ ▀████████▄▀███ ▀███ ██████ ▄▄█▀██▀███▄███ ▀███▄ ▄██▀██▀███ ▄▄█▀██▀████████▄ ▄██▀██ ▄▄█▀██ -% ██ ██▀ ▀██ ██ ██ ██ ██ ▀██ ██ ██ ██ ▄█▀ ██ ██▀ ▀▀ ▀█████▄█▀ ██ ██ ▄█▀ ██ ██ ██ ██▀ ██ ▄█▀ ██ -% ██▄ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██▀▀▀▀▀▀ ██ ▄ ▀███ ██ ██▀▀▀▀▀▀ ██ ██ ██ ██▀▀▀▀▀▀ -% ▀██▄ ▄▀██▄ ▄██ ██ ██ ██ ██ ▄██ ██ ██ ██ ██▄ ▄ ██ ██ ███▄ ▄ ██ ██▄ ▄ ██ ██ ██▄ ▄██▄ ▄ -% ▀▀█████▀ ▀█████▀▄████ ████ ████▄ ██████▀ ▀████▀███▄ ▀████ ▀█████▀████▄ █▀█████▀ █████▀▄████▄ ▀█████▀████ ████▄█████▀ ▀█████▀ -% ██ -% ▄████▄ - -\usepackage{forest} -\tikzset{algpxIndentLine/.style={draw=lightgray}} -\algrenewcommand{\alglinenumber}[1]{#1} - -\newenvironment{algo}[1]{ - \begin{algorithm} - \begin{spacing}{1.2} - \caption{\textsc{#1}} - \begin{algorithmic}[1] - }{ - \end{algorithmic} - \end{spacing} - \end{algorithm} -} - -% • ▌ ▄ ·. ▄▄▄· ▄▄▄▄▄ ▄ .▄ .▄▄ · ▄▄▄▄▄ ▄· ▄▌▄▄▌ ▄▄▄ . -% ·██ ▐███▪▐█ ▀█ •██ ██▪▐█ ▐█ ▀. •██ ▐█▪██▌██• ▀▄.▀· -% ▐█ ▌▐▌▐█·▄█▀▀█ ▐█.▪██▀▀█ ▄▀▀▀█▄ ▐█.▪▐█▌▐█▪██ ▪ ▐▀▀▪▄ -% ██ ██▌▐█▌▐█▪ ▐▌ ▐█▌·██▌▐▀ ▐█▄▪▐█ ▐█▌· ▐█▀·.▐█▌ ▄▐█▄▄▌ -% ▀▀ █▪▀▀▀ ▀ ▀ ▀▀▀ ▀▀▀ · ▀▀▀▀ ▀▀▀ ▀ • .▀▀▀ ▀▀▀ - -% Replace some commonly used commands with better ones -\renewcommand{\vec}[1]{\overrightarrow{#1}} -\renewcommand{\hat}[1]{\widehat{#1}} -\renewcommand{\tilde}[1]{\widetilde{#1}} -\newcommand{\proven}{$\hspace{17cm}\square$} - - -% ░█▒░▒▄▀▄░█▄░█░▄▀▒░█▒█▒▄▀▄░▄▀▒▒██▀░░░▄▀▀░▀█▀░▀▄▀░█▒░▒██▀ -% ▒█▄▄░█▀█░█▒▀█░▀▄█░▀▄█░█▀█░▀▄█░█▄▄▒░▒▄██░▒█▒░▒█▒▒█▄▄░█▄▄ - -% Specific styles for language summaries and docs -\newtcolorbox{conjugation}[2][]{mainboxstyle,colback=blue!5!white,colframe=blue!75!black,colbacktitle=blue!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large \translate{Conjugation}{Konjugation}};},#1} - -\newtcolorbox{forms}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2}, - overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Forms}{Formen}};},#1} - -% _____ _ _ -% (_ _) ( ) (_ ) -% | | _ _| |_ | | __ ___ -% | | / _ ) _ \ | | / __ \ __) -% | | ( (_| | |_) )| |( ___/__ \ -% (_) \__ _)_ __/(___)\____)____/ - - -\usepackage{booktabs} - -% Create new table. #1 Layout, #2 title row -\newenvironment{tables}[2]{ - \begin{center} - \begin{tabular}{#1} - \toprule - #2 \\ - \midrule - }{ - \bottomrule - \end{tabular} - \end{center} -} - -% Create new table in table env. #1 layout, #2 title row, #3 caption -\newenvironment{fullTable}[3]{ - \edef\tableCaption{#3} - \begin{table}[h!] - \begin{tables}{#1}{#2} - }{ - \end{tables} - \caption{\tableCaption} - \end{table} -} - -% ___ _ _____ _ _ -% ( _ \ _( ) (_ _) ( ) ( ) -% | (_) )_) |_ | | __ \ \/ / -% | _ (| | _ \ | | / __ \ ) ( -% | (_) ) | |_) ) | | ( ___// /\ \ -% (____/(_)_ __/ (_) \____)_) (_) - -% Configs if you want to use BibTeX. Not included in any default configs. - -\newcommand{\setupBibtex}[1]{ - \usepackage{biblatex} - \usepackage[nottoc, numbib]{tocbibind} - \addbibresource{#1} -} - -\newcommand{\printbib}{ - \addcontentsline{toc}{section}{\translate{Sources}{Quellen}} - \printbibliography[title=\translate{Sources}{Quellen}] -} - - -%░▒█▀▀█░█░░▄▀▀▄░█▀▀░█▀▀░█▀▀▄░█▀▀▄░█░░█ -%░▒█░▄▄░█░░█░░█░▀▀▄░▀▀▄░█▄▄█░█▄▄▀░█▄▄█ -%░▒█▄▄▀░▀▀░░▀▀░░▀▀▀░▀▀▀░▀░░▀░▀░▀▀░▄▄▄▀ - -% Add glossaries functionality - -\newcommand{\setupGlossary}{ - \usepackage[nonumberlist, toc]{glossaries} - \usepackage[nottoc, numbib]{tocbibind} - \makenoidxglossaries -} - -\newcommand{\printGlossary}{ - \glsaddall - \printnoidxglossaries -}