LaTeX Preamble

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%
%   based on Artikel-Vorlage (komplex)
%   https://stuga.math.uni-bremen.de/wiki/LaTeX:_Vorlagen
%
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\usepackage[ngerman]{babel}
\usepackage{amsmath,amssymb,amsthm,amsfonts,amsbsy,latexsym}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{enumerate,url}
\usepackage{graphicx}
\usepackage{tikz}
\usepackage{bibgerm}
\usepackage[german=guillemets]{csquotes}
\usepackage{makecell}
\usepackage{subcaption}
\usepackage{eurosym}
\usepackage{lipsum}

\usepackage{selinput}
\SelectInputMappings{
  adieresis={ä},
  germandbls={ß},
  Euro={€},
}

%%% MATH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\fline}{\bigskip\noindent}
\newcommand{\field}[1]{\mathbb{#1}}
\newcommand{\N}{\field{N}}
\newcommand{\Z}{\field{Z}}
\newcommand{\Q}{\field{Q}}
\newcommand{\R}{\field{R}}
\newcommand{\C}{\field{C}}
\newcommand{\K}{\field{K}}
\newcommand{\B}{\field{B}}

\newtheorem*{fakt}{Fakt}
\newtheorem{fazit}{Fazit}
\newtheorem{satz}{Satz}
\newtheorem{theo}{Theorem}
\newtheorem{lemma}[satz]{Lemma}
\newtheorem{chara}{Charakterisierung}

\theoremstyle{definition}
\newtheorem{defi}{Definition}
\newtheorem{termi}{Terminologie}

\theoremstyle{remark}
\newtheorem*{beh}{Behauptung}
\newtheorem{rem}{Bemerkung}
\newtheorem*{folg}{Folgerung}
\newtheorem{korr}{Korollar}
\newtheorem*{bsp}{Beispiel}
\newtheorem*{bspe}{Beispiele}
\newtheorem{aufg}{\textbf{Aufgabenstellung}}

\newcommand{\induction}[1]{\textbf{Beweis} (durch vollständige Induktion nach $#1$): }
\newcommand{\proofcon}{\textbf{Beweis} (durch Kontraposition):}
\newcommand{\proofind}{\textbf{Beweis} (indirekt): }
\newcommand{\indb}[2]{Induktionsbeginn ($#1 = #2$): }
\newcommand{\indv}{Induktionsvoraussetzung ($\star$): }
\newcommand{\inds}[1]{Induktionsschritt ($#1\rightsquigarrow #1 +1$): }

\newcommand{\expo}[1]{\exp\left\{{#1}\right\}}
\newcommand{\series}[1]{\sum_{#1}^{\infty}}
\newcommand{\stetig}[2]{\mathscr{C}(#1,#2)}
\newcommand{\topologie}{\mathfrak{T}}

%%% PHYSICS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{units}

%%% COMPUTER SCIENCE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{listings}
\usepackage{dirtree}

\usepackage{listings}
\usepackage{xcolor}

\definecolor{codegreen}{rgb}{0,0.6,0}
\definecolor{codegray}{rgb}{0.5,0.5,0.5}
\definecolor{codepurple}{rgb}{0.58,0,0.82}
\definecolor{backcolour}{rgb}{0.95,0.95,0.92}

\lstdefinestyle{mystyle}{
    backgroundcolor=\color{backcolour},   
    commentstyle=\color{codegreen},
    keywordstyle=\color{magenta},
    numberstyle=\tiny\color{codegray},
    stringstyle=\color{codepurple},
    basicstyle=\ttfamily\footnotesize,
    breakatwhitespace=false,         
    breaklines=true,                 
    captionpos=b,                    
    keepspaces=true,                 
    numbers=left,                    
    numbersep=5pt,                  
    showspaces=false,                
    showstringspaces=false,
    showtabs=false,                  
    tabsize=2
}

% \lstset{style=mystyle}