409 lines
15 KiB
TeX
409 lines
15 KiB
TeX
%%%%% title %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\title{\textbf{\huge\sffamily\tr{Introduction to\\[1ex] Scientific Computing}%
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{Einf\"uhrung in die\\[1ex] wissenschaftliche Datenverarbeitung}}}
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\author{{\LARGE Jan Grewe \& Jan Benda}\\[5ex]Abteilung Neuroethologie\\[2ex]%
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\includegraphics[width=0.3\textwidth]{UT_WBMW_Rot_RGB}\vspace{3ex}}
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\date{WS 2019/2020\\\vfill%
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\centerline{\includegraphics[width=0.7\textwidth]{announcements/correlationcartoon}%
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\rotatebox{90}{\footnotesize\url{www.xkcd.com}}}}
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%%%% language %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\newcommand{\tr}[2]{#1} % en
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% \newcommand{\tr}[2]{#2} % de
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\usepackage[ngerman,english]{babel}
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%%%% encoding %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[T1]{fontenc}
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%%%% fonts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{pslatex} % nice font for pdf file
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%%%% layout %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[left=25mm,right=25mm,top=20mm,bottom=30mm]{geometry}
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\usepackage[within=chapter]{newfloat}
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\usepackage{tocloft}
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\setlength{\cftfigindent}{1.2em}
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\setlength{\cftfignumwidth}{2.6em}
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%%%%% section style %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[sf,bf,it,big,clearempty]{titlesec}
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\setcounter{secnumdepth}{1}
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\setcounter{tocdepth}{1}
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%%%%% index %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[makeindex]{splitidx}
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\makeindex
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\usepackage[totoc]{idxlayout}
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\newindex[\tr{Glossary}{Fachbegriffe}]{term}
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\newindex[Englische Fachbegriffe]{enterm}
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\newindex[Deutsche Fachbegriffe]{determ}
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\newindex[\tr{MATLAB code}{MATLAB Code}]{mcode}
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\newindex[\tr{Python code}{Python Code}]{pcode}
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%%%%% units %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[mediumspace,mediumqspace,Gray]{SIunits} % \ohm, \micro
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%%%%% graphics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{subcaption}
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\usepackage{graphicx}
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%%%%%%%%%%%%% colors %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{xcolor}
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\definecolor{myyellow}{HTML}{FFEE00}
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\definecolor{myblue}{HTML}{0055DD}
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\colorlet{codeback}{myblue!10}
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\colorlet{exerciseback}{myyellow!20}
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\colorlet{importantback}{myblue!15}
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\colorlet{importantline}{myblue!50}
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\colorlet{infoback}{myyellow!20}
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\colorlet{infoline}{myyellow!60}
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\definecolor{mygreen}{rgb}{0.2,0.7,0.2} % for 'TRUE'
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\definecolor{myred}{rgb}{1.,0,0} % for 'FALSE'
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\pagecolor{white}
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%%%%% figures %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% gnuplot figures:
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\newcommand{\texinputpath}{}
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\newcommand{\texpicture}[1]{{\sffamily\footnotesize\input{\texinputpath#1.tex}}}
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\newcommand{\figlabel}[1]{\textsf{\textbf{\large \uppercase{#1}}}}
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% maximum number of floats:
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% float placement fractions:
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\renewcommand{\textfraction}{0.2}
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\renewcommand{\topfraction}{0.9}
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\renewcommand{\bottomfraction}{0.0}
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\renewcommand{\floatpagefraction}{0.7}
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% spacing for floats:
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\setlength{\floatsep}{12pt plus 2pt minus 2pt}
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\setlength{\textfloatsep}{10pt plus 4pt minus 2pt}
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\setlength{\intextsep}{12pt plus 2pt minus 2pt}
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% spacing for a floating page:
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\makeatletter
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\setlength{\@fpsep}{8pt plus 2.0fil}
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\makeatother
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% rules for floats:
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%\newcommand{\topfigrule}{\vspace*{10pt}{\hrule height0.4pt}\vspace*{-10.4pt}}
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%\newcommand{\bottomfigrule}{\vspace*{-10.4pt}{\hrule height0.4pt}\vspace*{10pt}}
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% captions:
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\usepackage[singlelinecheck=off,labelfont=bf,font={small,sf}]{caption}
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\newcommand{\titlecaption}[2]{\caption[#1]{\textbf{#1} #2}}
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% put caption on separate float:
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\newcommand{\breakfloat}{\end{figure}\begin{figure}[t]}
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%%%%% figure references %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% references to panels of a figure within the caption:
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\newcommand{\figitem}[1]{\textsf{\bfseries\uppercase{#1}}}
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% references to figures:
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\newcommand{\panel}[1]{\textsf{\uppercase{#1}}}
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\newcommand{\fref}[1]{\textup{\ref{#1}}}
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\newcommand{\subfref}[2]{\textup{\ref{#1}}\,\panel{#2}}
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% references to figures in normal text:
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\newcommand{\fig}{\tr{Fig.}{Abb.}}
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\newcommand{\Fig}{\tr{Figure}{Abb.}}
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\newcommand{\figs}{\tr{Figs.}{Abb.}}
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\newcommand{\Figs}{\tr{Figures}{Abb.}}
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\newcommand{\figref}[1]{\fig~\fref{#1}}
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\newcommand{\Figref}[1]{\Fig~\fref{#1}}
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\newcommand{\figsref}[1]{\figs~\fref{#1}}
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\newcommand{\Figsref}[1]{\Figs~\fref{#1}}
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\newcommand{\subfigref}[2]{\fig~\subfref{#1}{#2}}
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\newcommand{\Subfigref}[2]{\Fig~\subfref{#1}{#2}}
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\newcommand{\subfigsref}[2]{\figs~\subfref{#1}{#2}}
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\newcommand{\Subfigsref}[2]{\Figs~\subfref{#1}{#2}}
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% references to figures within bracketed text:
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\newcommand{\figb}{\tr{Fig.}{Abb.}}
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\newcommand{\figsb}{\tr{Figs.}{Abb.}}
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\newcommand{\figrefb}[1]{\figb~\fref{#1}}
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\newcommand{\figsrefb}[1]{\figsb~\fref{#1}}
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\newcommand{\subfigrefb}[2]{\figb~\subfref{#1}{#2}}
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\newcommand{\subfigsrefb}[2]{\figsb~\subfref{#1}{#2}}
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%%%%%%%%%%%%% tables %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{multirow}
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%%%%% table references %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\newcommand{\tref}[1]{\textup{\ref{#1}}}
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% references to tables in normal text:
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\newcommand{\tab}{\tr{Tab.}{Tabelle}}
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\newcommand{\Tab}{\tr{Tabel}{Tabelle}}
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\newcommand{\tabs}{\tr{Tabs.}{Tabellen}}
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\newcommand{\Tabs}{\tr{Tabels.}{Tabellen}}
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\newcommand{\tabref}[1]{\tab~\tref{#1}}
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\newcommand{\Tabref}[1]{\Tab~\tref{#1}}
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\newcommand{\tabsref}[1]{\tabs~\tref{#1}}
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\newcommand{\Tabsref}[1]{\Tabs~\tref{#1}}
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% references to tables within bracketed text:
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\newcommand{\tabb}{\tr{Tab.}{Tabelle}}
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\newcommand{\tabsb}{\tr{Tab.}{Tabelle}}
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\newcommand{\tabrefb}[1]{\tabb~\tref{#1}}
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\newcommand{\tabsrefb}[1]{\tabsb~\tref{#1}}
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% invisible rule for expanding the height of a row in a table header:
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\newcommand{\erh}{\rule[-1.2ex]{0pt}{3.5ex}}
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% invisible rule for expanding the height of a row in a table body:
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\newcommand{\erb}{\rule{0pt}{2.5ex}}
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%%%%% equation references %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\newcommand{\eqref}[1]{(\ref{#1})}
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\newcommand{\eqn}{\tr{Eq}{Gl}.}
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\newcommand{\Eqn}{\tr{Eq}{Gl}.}
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\newcommand{\eqns}{\tr{Eqs}{Gln}.}
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\newcommand{\Eqns}{\tr{Eqs}{Gln}.}
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\newcommand{\eqnref}[1]{\eqn~\eqref{#1}}
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\newcommand{\Eqnref}[1]{\Eqn~\eqref{#1}}
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\newcommand{\eqnsref}[1]{\eqns~\eqref{#1}}
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\newcommand{\Eqnsref}[1]{\Eqns~\eqref{#1}}
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%%%%% math stuff: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{amsmath}
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\usepackage{bm}
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\usepackage{dsfont}
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\newcommand{\naZ}{\mathds{N}}
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\newcommand{\gaZ}{\mathds{Z}}
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\newcommand{\raZ}{\mathds{Q}}
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\newcommand{\reZ}{\mathds{R}}
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\newcommand{\reZp}{\mathds{R^+}}
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\newcommand{\reZpN}{\mathds{R^+_0}}
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\newcommand{\koZ}{\mathds{C}}
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%%%%% listings %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{listings}
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\lstset{
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basicstyle=\ttfamily\footnotesize,
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numbers=left,
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showstringspaces=false,
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language=Matlab,
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commentstyle=\itshape\color{red!60!black},
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keywordstyle=\color{blue!50!black},
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stringstyle=\color{green!50!black},
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backgroundcolor=\color{codeback},
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breaklines=true,
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breakautoindent=true,
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% columns=flexible, % this kills the monospace font
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frame=single,
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caption={\protect\filename@parse{\lstname}\protect\filename@base},
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captionpos=t,
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xleftmargin=21pt,
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xrightmargin=1mm,
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aboveskip=1ex,
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belowskip=2ex
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}
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\SetupFloatingEnvironment{lstlisting}{chapterlistsgaps=on}
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% format list of listing exactly like list of figures:
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\makeatletter
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\let\l@lstlisting\l@figure
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\makeatother
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%%%%% english, german, code and file terms: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{ifthen}
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\newcommand{\enterm}[2][]{\tr{\textit{#2}}{``#2''}\ifthenelse{\equal{#1}{}}{\tr{\protect\sindex[term]{#2}}{\protect\sindex[enterm]{#2}}}{\tr{\protect\sindex[term]{#1}}{\protect\sindex[enterm]{#1}}}}
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\newcommand{\determ}[2][]{\tr{``#2''}{\textit{#2}}\ifthenelse{\equal{#1}{}}{\tr{\protect\sindex[determ]{#2}}{\protect\sindex[term]{#2}}}{\tr{\protect\sindex[determ]{#1}}{\protect\sindex[term]{#1}}}}
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\newcommand{\codeterm}[2][]{\textit{#2}\ifthenelse{\equal{#1}{}}{\protect\sindex[term]{#2}}{\protect\sindex[term]{#1}}}
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\newcommand{\file}[1]{\texttt{#1}}
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% for escaping special characters into the index:
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\newcommand{\scor}{"|}
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%%%%% key-shortcuts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{tikz}
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\usetikzlibrary{shapes}
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\tikzstyle{keybox} = [draw=blue!50!black,fill=white,thick,rectangle,rounded corners,inner sep=3pt,inner ysep=2pt]
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\newcommand{\keycode}[1]{\begin{tikzpicture}[baseline=(box.base)]\node[keybox](box){\texttt{#1}};\end{tikzpicture}}
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%%%%% code/matlab commands: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{textcomp}
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% typeset code inline:
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\newcommand{\varcode}[1]{\setlength{\fboxsep}{0.5ex}\colorbox{codeback}{\texttt{#1\protect\rule[-0.1ex]{0pt}{1.6ex}}}}
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% type set code and add it to the python index:
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\newcommand{\pcode}[2][]{\varcode{#2}\ifthenelse{\equal{#1}{}}{\protect\sindex[pcode]{#2}}{\protect\sindex[pcode]{#1}}}
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% type set code and add it to the matlab index:
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\newcommand{\mcode}[2][]{\varcode{#2}\ifthenelse{\equal{#1}{}}{\protect\sindex[mcode]{#2}}{\protect\sindex[mcode]{#1}}}
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% XXX typeset code and put it into matlab index:
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% THIS SHOULD actually take both the matlab and the python code!
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\newcommand{\code}[2][]{\varcode{#2}\ifthenelse{\equal{#1}{}}{\protect\sindex[mcode]{#2}}{\protect\sindex[mcode]{#1}}}
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% the name of the python language:
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\newcommand{\python}{Python}
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% the name of the matlab language:
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\newcommand{\matlab}{\texorpdfstring{MATLAB$^{\copyright}$}{MATLAB}}
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% typeset '(python-function #1)' and add the function to the python index:
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\newcommand{\pythonfun}[1]{(\tr{\python-function}{\python-Funktion} \varcode{#1})\protect\sindex[pcode]{#1}}
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% typeset '(matlab-function #1)' and add the function to the matlab index:
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\newcommand{\matlabfun}[1]{(\tr{\matlab-function}{\matlab-Funktion} \varcode{#1})\protect\sindex[mcode]{#1}}
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%%%%% shortquote and widequote commands: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \shortquote{Something to be quoted}{Source}
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\newcommand{\shortquote}[2]{\begin{list}{}{\rightmargin\leftmargin}\item\relax\itshape #1 \hfill \upshape #2\end{list}}
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% \widequote{Something to be quoted}{Source}
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\newcommand{\widequote}[2]{{\itshape #1} \hfill #2}
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%%%%% exercises environment: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% usage:
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%
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% \begin{exercise}{somecode.m}{someoutput.out}
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% Write a function that computes the median.
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% \end{exercise}
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%
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% result:
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%
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% Exercise 1:
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% Write a function that computes the median.
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% Listing 1: somecode.m
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% the listing
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% Output:
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% content of someoutput.out
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%
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% Within the exercise environment enumerate is redefined to generate (a), (b), (c), ...
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%
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% The boolean showexercisesolutions controls whether solutions for the exercises
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% are actually included.
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\usepackage{mdframed}
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\usepackage{xstring}
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\newlistof{exercisef}{loe}{\tr{Exercises}{\"Ubungen}}
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\newcommand{\codepath}{}
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\DeclareFloatingEnvironment[
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fileext=loe,
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%listname={\tr{Exercises}{\"Ubungen}},
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name={\tr{Exercise}{\"Ubung}},
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placement=t,
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chapterlistsgaps=on,
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]{exercisef}
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\newboolean{showexercisesolutions}
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\setboolean{showexercisesolutions}{false}
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\newenvironment{exercise}[2]%
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{ \newcommand{\exercisesource}{#1}%
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\newcommand{\exercisefile}{\protect\StrSubstitute{#1}{_}{\_}}%
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\newcommand{\exerciseoutput}{#2}%
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\setlength{\fboxsep}{2mm}%
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\newcommand{\saveenumi}{\theenumi}\renewcommand{\labelenumi}{(\alph{enumi})}%
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\captionsetup{singlelinecheck=off,hypcap=false,labelfont={large,sf,it,bf},%
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font={large,sf,it,bf},skip={0.5ex}}%
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\begin{mdframed}[linewidth=0pt,backgroundcolor=exerciseback]%
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\captionof{exercisef}[\exercisefile]{}%
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\captionsetup{font={normal,sf,it}}%
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}%
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{ \renewcommand{\theenumi}{\saveenumi}%
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\ifthenelse{\boolean{showexercisesolutions}}%
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{ \hypersetup{hypertexnames=false}%
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\ifthenelse{\equal{\exercisesource}{}}{}%
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{ \addtocounter{lstlisting}{-1}%
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\lstinputlisting[belowskip=0pt,aboveskip=1ex,nolol=true,%
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title={\textbf{\tr{Solution}{L\"osung}:} \exercisefile}]%
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{\codepath\exercisesource}%
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\ifthenelse{\equal{\exerciseoutput}{}}{}%
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{ \addtocounter{lstlisting}{-1}%
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\lstinputlisting[language={},title={\textbf{\tr{Output}{Ausgabe}:}},%
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nolol=true,belowskip=0pt]%
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{\codepath\exerciseoutput}%
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}%
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}%
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\hypersetup{hypertexnames=true}%
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}{}%
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\end{mdframed}%
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}
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\setlength{\cftexercisefindent}{1.2em}
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\setlength{\cftexercisefnumwidth}{2.6em}
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%%%%% info box environment: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% usage:
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%
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% \begin{ibox}[tp]{Python}
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% The cooler programming language.
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% \end{exercise}
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%
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% results in a nicely colored float:
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%
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% Info Box 1: Python
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% The cooler programming language.
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\newlistof{iboxf}{lob}{\tr{Info Boxes and Topics}{Info- und Merk-Boxen}}
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\DeclareFloatingEnvironment[
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fileext=lob,
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name={Info-Box},
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placement=t,
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chapterlistsgaps=on,
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]{iboxf}
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\newenvironment{ibox}[2][tp]
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{\SetupFloatingEnvironment{iboxf}{placement=#1}%
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\begin{iboxf}%
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\captionsetup{singlelinecheck=off,labelfont={large,sf,it,bf},font={large,sf,it,bf}}%
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\begin{mdframed}[linecolor=infoline,linewidth=1ex,%
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backgroundcolor=infoback,font={\sffamily},%
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frametitle={\caption{#2}},frametitleaboveskip=-1ex,%
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frametitlebackgroundcolor=infoline]%
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\setlength{\parindent}{0pt}\setlength{\parskip}{1ex}%
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\captionsetup{singlelinecheck=off,labelfont={normalsize,sf,bf},font={normalsize,sf}}}%
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{\end{mdframed}%
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\end{iboxf}}
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\setlength{\cftiboxfindent}{1.2em}
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\setlength{\cftiboxfnumwidth}{2.6em}
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%%%%% important environment: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% usage:
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%
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% \begin{important}[Apples are important]
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% Something you should really remember.
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% \end{important}
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%
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% results in a nicely colored box with the text inside.
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% The optional title of the box "Apples are important"
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% also appears in the list of important things.
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% \DeclareFloatingEnvironment[
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% fileext=loi,
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% listname={\tr{Important hints}{Merk-Boxen}},
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% name={Merk-Box},
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% placement=t,
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% chapterlistsgaps=on,
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% ]{importantf}
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\newenvironment{important}[1][]%
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{ \captionsetup{singlelinecheck=off,hypcap=false,labelformat={empty},%
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labelfont={large,sf,it,bf},font={large,sf,it,bf}}
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\ifthenelse{\equal{#1}{}}%
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{ \begin{mdframed}[linecolor=importantline,linewidth=1ex,%
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backgroundcolor=importantback,font={\sffamily}]%
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\setlength{\parindent}{0pt}%
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\setlength{\parskip}{1ex}%
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}%
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{ \begin{mdframed}[linecolor=importantline,linewidth=1ex,%
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backgroundcolor=importantback,font={\sffamily},%
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frametitle={\captionof{iboxf}{#1}},frametitleaboveskip=-1ex,%
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frametitlebackgroundcolor=importantline]%
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\setlength{\parindent}{0pt}%
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\setlength{\parskip}{1ex}%
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}%
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}%
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{\end{mdframed}}
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%%%%% hyperref %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[bookmarks=true,bookmarksopen=true,%
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pdfpagemode=UseNone,pdfstartview=FitH,%
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plainpages=false,pdfpagelabels,%
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breaklinks=true,colorlinks=true,%
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citecolor=blue!50!black,linkcolor=red!70!black,urlcolor=blue!50!black]{hyperref}
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