00_main.tex

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% Important note:
% Chapter heading images should have a 2:1 width:height ratio,
% e.g. 920px width and 460px height.
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% The original template (the Legrand Orange Book Template) can be found here --> http://www.latextemplates.com/template/the-legrand-orange-book
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% Original author of the Legrand Orange Book Template:
% Mathias Legrand (legrand.mathias@gmail.com) with modifications by: Vel (vel@latextemplates.com)
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% Original License:
% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
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%	CETNTRAL VARIABLES
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\newcommand{\scriptTitle}{Titel des Skripts}
\newcommand{\scriptAuthor}{Autorenname}
\newcommand{\scriptSubject}{Thema des Skripts}
\newcommand{\scriptKeywords}{Keyword1, Keyword2, Keyword3}
\newcommand{\scriptFaculty}{Elektro- und \\ Informationstechnik}
\newcommand{\scriptCourse}{Vorlesung XYZ}
\newcommand{\scriptPublisher}{NAME}
\newcommand{\scriptWebsite}{book-website.com}
\newcommand{\scriptLicense}{CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)}
\newcommand{\scriptEdition}{Erste Ausgabe, Stand: Oktober 2024}

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%	PACKAGES AND OTHER DOCUMENT CONFIGURATIONS
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\documentclass[11pt,fleqn]{book} % Default font size and left-justified equations

\input{structure.tex} % Insert the structure.tex file which contains the majority of the structure behind the template

\input{customcommands.tex} % Insert the customcommands.tex file which contains the custom made commands, functions, etc.

% PDF Metadata
\hypersetup{
	pdftitle={\scriptTitle},
	pdfauthor={\scriptAuthor},
	pdfsubject={\scriptSubject},
	pdfkeywords={\scriptKeywords}
}

\date{\today}


\input{acronyms.tex} % Insert acronyms.tex file which contains definitions and acronyms
		
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%	Color Style (depending on Faculty)
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% please uncomment the desired color:

\definecolor{ThemeColor}{RGB}{ 40,135, 50} % Elektro- und Informationstechnik
%\definecolor{ThemeColor}{RGB}{ 25,130,130} % Architektur- und Bauwesen
%\definecolor{ThemeColor}{RGB}{ 40,105,175} % Maschinenbau und Mechatronik
%\definecolor{ThemeColor}{RGB}{ 30, 70,150} % Wirtschaftswissenschaften
%\definecolor{ThemeColor}{RGB}{100, 55,140} % Informatik und Wirtschaftsinformatik
%\definecolor{ThemeColor}{RGB}{140, 45,130} %Informationsmanagement und Medien


\begin{document}

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%	TITLE PAGE
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% Titel Seite
\createTikZTitlePage{\scriptFaculty}   
{{\huge\textbf{\scriptTitle\\}}{Stand \today}}   
{\scriptAuthor}

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%	COPYRIGHT PAGE
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\newpage
~\vfill
\thispagestyle{empty}

\noindent Copyright \copyright\ 2024 \scriptAuthor % Copyright notice

\noindent {Published by \scriptPublisher} % Publisher

\noindent {\url{\scriptWebsite}} % URL

\noindent
Dieses Skript wird als Lehrmaterial für die Vorlesung \scriptCourse\ an der Hochschule Karlsruhe verwendet.
Das Skript wird unter der folgenden Lizenz veröffentlicht: \scriptLicense.

\noindent \textit{\scriptEdition} % Printing/edition date

%----------------------------------------------------------------------------------------
%	TABLE OF CONTENTS
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%\usechapterimagefalse % If you don't want to include a chapter image, use this to toggle images off - it can be enabled later with \usechapterimagetrue

\chapterimage{Pictures/chapter_image_1.jpg} % Table of contents heading image

\pagestyle{empty} % Disable headers and footers for the following pages

\tableofcontents % Print the table of contents itself

\cleardoublepage % Forces the first chapter to start on an odd page so it's on the right side of the book

\pagestyle{fancy} % Enable headers and footers again

%----------------------------------------------------------------------------------------
%  Teil 1
\part{TEIL 1}
%----------------------------------------------------------------------------------------

\input{01_einleitung.tex} 

%----------------------------------------------------------------------------------------
%	Part 2: Format Examples (to be deleted in final/release version)
\part{TEIL 2}
%----------------------------------------------------------------------------------------

\chapterimage{Pictures/chapter_image_2.jpg} % Chapter heading image

\chapter{Formatierungen und Templates}

\section{Table}\index{Table}

\begin{table}[h]
\centering
\begin{tabular}{l l l}
\toprule
\textbf{Treatments} & \textbf{Response 1} & \textbf{Response 2}\\
\midrule
Treatment 1 & 0.0003262 & 0.562 \\
Treatment 2 & 0.0015681 & 0.910 \\
Treatment 3 & 0.0009271 & 0.296 \\
\bottomrule
\end{tabular}
\caption{Table caption}
\label{tab:example} % Unique label used for referencing the table in-text
%\addcontentsline{toc}{table}{Table \ref{tab:example}} % Uncomment to add the table to the table of contents
\end{table}

Referencing Table \ref{tab:example} in-text automatically.


%------------------------------------------------

\section{Citation}\index{Citation}

This statement requires citation \cite{article_key}; this one is more specific \cite[162]{book_key}.

%------------------------------------------------

\section{Lists}\index{Lists}

Lists are useful to present information in a concise and/or ordered way\footnote{Footnote example...}.

\subsection{Numbered List}\index{Lists!Numbered List}

\begin{enumerate}
\item The first item
\item The second item
\item The third item
\end{enumerate}

\subsection{Bullet Points}\index{Lists!Bullet Points}

\begin{itemize}
\item The first item
\item The second item
\item The third item
\end{itemize}

\subsection{Descriptions and Definitions}\index{Lists!Descriptions and Definitions}

\begin{description}
\item[Name] Description
\item[Word] Definition
\item[Comment] Elaboration
\end{description}

This is an example of theorems.

\subsection{Several equations}\index{Theorems!Several Equations}
This is a theorem consisting of several equations.

\begin{theorem}[Name of the theorem]
In $E=\mathbb{R}^n$ all norms are equivalent. It has the properties:
\begin{align}
& \big| ||\mathbf{x}|| - ||\mathbf{y}|| \big|\leq || \mathbf{x}- \mathbf{y}||\\
&  ||\sum_{i=1}^n\mathbf{x}_i||\leq \sum_{i=1}^n||\mathbf{x}_i||\quad\text{where $n$ is a finite integer}
\end{align}
\end{theorem}

\subsection{Single Line}\index{Theorems!Single Line}
This is a theorem consisting of just one line.

\begin{theorem}
A set $\mathcal{D}(G)$ in dense in $L^2(G)$, $|\cdot|_0$. 
\end{theorem}

%------------------------------------------------

\section{Definitions}\index{Definitions}

This is an example of a definition. A definition could be mathematical or it could define a concept.

\begin{definition}[Definition name]
Given a vector space $E$, a norm on $E$ is an application, denoted $||\cdot||$, $E$ in $\mathbb{R}^+=[0,+\infty[$ such that:
\begin{align}
& ||\mathbf{x}||=0\ \Rightarrow\ \mathbf{x}=\mathbf{0}\\
& ||\lambda \mathbf{x}||=|\lambda|\cdot ||\mathbf{x}||\\
& ||\mathbf{x}+\mathbf{y}||\leq ||\mathbf{x}||+||\mathbf{y}||
\end{align}
\end{definition}

%------------------------------------------------

\section{Notations}\index{Notations}

\begin{notation}
Given an open subset $G$ of $\mathbb{R}^n$, the set of functions $\varphi$ are:
\begin{enumerate}
\item Bounded support $G$;
\item Infinitely differentiable;
\end{enumerate}
a vector space is denoted by $\mathcal{D}(G)$. 
\end{notation}

%------------------------------------------------

\section{Remarks}\index{Remarks}

This is an example of a remark.

\begin{remark}
The concepts presented here are now in conventional employment in mathematics. Vector spaces are taken over the field $\mathbb{K}=\mathbb{R}$, however, established properties are easily extended to $\mathbb{K}=\mathbb{C}$.
\end{remark}

%------------------------------------------------

\section{Corollaries}\index{Corollaries}

This is an example of a corollary.

\begin{corollary}[Corollary name]
The concepts presented here are now in conventional employment in mathematics. Vector spaces are taken over the field $\mathbb{K}=\mathbb{R}$, however, established properties are easily extended to $\mathbb{K}=\mathbb{C}$.
\end{corollary}

%------------------------------------------------

\section{Propositions}\index{Propositions}

This is an example of propositions.

\subsection{Several equations}\index{Propositions!Several Equations}

\begin{proposition}[Proposition name]
It has the properties:
\begin{align}
& \big| ||\mathbf{x}|| - ||\mathbf{y}|| \big|\leq || \mathbf{x}- \mathbf{y}||\\
&  ||\sum_{i=1}^n\mathbf{x}_i||\leq \sum_{i=1}^n||\mathbf{x}_i||\quad\text{where $n$ is a finite integer}
\end{align}
\end{proposition}

\subsection{Single Line}\index{Propositions!Single Line}

\begin{proposition} 
Let $f,g\in L^2(G)$; if $\forall \varphi\in\mathcal{D}(G)$, $(f,\varphi)_0=(g,\varphi)_0$ then $f = g$. 
\end{proposition}

%------------------------------------------------

\section{Examples}\index{Examples}

This is an example of examples.

\subsection{Equation and Text}\index{Examples!Equation and Text}

\begin{example}
Let $G=\{x\in\mathbb{R}^2:|x|<3\}$ and denoted by: $x^0=(1,1)$; consider the function:
\begin{equation}
f(x)=\left\{\begin{aligned} & \mathrm{e}^{|x|} & & \text{si $|x-x^0|\leq 1/2$}\\
& 0 & & \text{si $|x-x^0|> 1/2$}\end{aligned}\right.
\end{equation}
The function $f$ has bounded support, we can take $A=\{x\in\mathbb{R}^2:|x-x^0|\leq 1/2+\epsilon\}$ for all $\epsilon\in\intoo{0}{5/2-\sqrt{2}}$.
\end{example}

\subsection{Paragraph of Text}\index{Examples!Paragraph of Text}

\begin{example}[Example name]
\lipsum[2]
\end{example}

%------------------------------------------------

\section{Exercises}\index{Exercises}

This is an example of an exercise.

\begin{exercise}
This is a good place to ask a question to test learning progress or further cement ideas into students' minds.
\end{exercise}

%------------------------------------------------

\section{Problems}\index{Problems}

\begin{problem}
What is the average airspeed velocity of an unladen swallow?
\end{problem}

%------------------------------------------------

\section{Vocabulary}\index{Vocabulary}

Define a word to improve a students' vocabulary.

\begin{vocabulary}[Word]
Definition of word.
\end{vocabulary}


%------------------------------------------------

\section{Figure}\index{Figure}

\begin{figure}[h]
\centering\includegraphics[scale=0.5]{Pictures/placeholder.jpg}
\caption{Figure caption}
\label{fig:placeholder} % Unique label used for referencing the figure in-text
%\addcontentsline{toc}{figure}{Figure \ref{fig:placeholder}} % Uncomment to add the figure to the table of contents
\end{figure}

Referencing Figure \ref{fig:placeholder} in-text automatically.


%------------------------------------------------

\section{Glossary and Acronyms}

%Examples on using the glossaries package

The \Gls{latexg} typesetting markup language is specially suitable 
for documents that include \gls{mathsg}. 


Given a set of numbers, there are elementary methods to compute 
its \acrlong{gcd}, which is abbreviated \acrshort{gcd}. This 
process is similar to that used for the \acrfull{lcm}.

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%	BIBLIOGRAPHY - LITERATURVERZEICHNIS
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\addcontentsline{toc}{chapter}{\textcolor{ThemeColor}{Literaturverzeichnis}} % Add a Bibliography heading to the table of contents
\fancyhead[LE,LO]{\sffamily\normalsize\thepage} % Header - Odd-Even Page - Left side - show page numbers 
\fancyhead[RE,RO]{\textbf \bibname} % Header - Odd-Even Page - Right side - show Bibliography text
\printbibliography[title=Literaturverzeichnis]

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%	GLOSSARY AND ACRONYMS / GLOSSAR UND ABKÜRZUNGSVERZEICHNIS
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\addcontentsline{toc}{chapter}{\textcolor{ThemeColor}{Abkürzungsverzeichnis}}
\printglossary[type=\acronymtype,title={Abkürzungsverzeichnis}]


\addcontentsline{toc}{chapter}{\textcolor{ThemeColor}{Glossar}} 
\printglossary

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%	INDEX
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\cleardoublepage % Make sure the index starts on an odd (right side) page
\phantomsection
\setlength{\columnsep}{0.75cm} % Space between the 2 columns of the index
\addcontentsline{toc}{chapter}{\textcolor{ThemeColor}{Index}} % Add an Index heading to the table of contents
\printindex % Output the index

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\end{document}