\usepackage{multicol}
\setlength{\columnsep}{1cm}



\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{microtype,ellipsis,fixltx2e,mparhack}
\usepackage{amssymb}
\usepackage{graphicx}%

\usepackage{booktabs}

\usepackage{minted}

\usepackage{babel}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}

\usepackage{longtable}
%\usepackage[latin1]{inputenc}

\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{geometry} %paperwidth=left+width+right   paperheight=top+height+bottom  left = inner
\geometry{left=25mm, right=25mm, width=160mm}

\usepackage{pstricks,pst-node}
\usepackage[colorlinks = false,pdfborder={0 0 0}]{hyperref}
\pdfcompresslevel=9

\usepackage{nameref}
  \usepackage{hyperref}
  \usepackage{sidecap}

\definecolor{Red}{rgb}{1,0,0}
%\setlength{\emergencystretch}{20pt} \emergencystretch=3pt\relax \setlength{\tolerance}{2000}
\newcommand{\clearemptydoublepage}{\newpage{\pagestyle{empty}\cleardoublepage}}
\clubpenalty=2500 \widowpenalty=10000


\newcommand{\IR}{I\hspace{-1.4mm}R}
\newcommand{\IN}{I\hspace{-1.4mm}N}
\newcommand{\tabumg}{\hspace{10mm}\=hspace{10mm}\=hspace{10mm}\=hspace{10mm}\kill \\}
\newcommand{\entspricht}{\stackrel{\scriptscriptstyle\wedge}{=}}

\newlength\tindent
\setlength{\tindent}{\parindent}
\setlength{\parindent}{0pt}
\renewcommand{\indent}{\hspace*{\tindent}}

\usepackage{showframe}
\usepackage{pgf,tikz,pgfplots}

\usepackage{tkz-euclide}

\usetikzlibrary{angles, arrows.meta, quotes, calc, babel, fadings,quotes}

\usetikzlibrary{intersections,through,backgrounds}
\usepackage{circuitikz}

\usepackage{blindtext}

\makeatother

%!tikz preamble end

\newlength{\crossing}
\makeatletter
\setlength{\crossing}{\ctikzvalof{bipoles/crossing/size}\pgf@circ@Rlen}
\makeatother