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129 lines
3.9 KiB
TeX
129 lines
3.9 KiB
TeX
\chapter{Some Introduction and Examples}
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You can freely use the present template for your final thesis (i.e.~master or
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bachelor or project thesis).
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This template was made from the following theses:
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\begin{itemize}
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\item \url{http://thorsten-wissmann.de/theses/ma-wissmann.pdf}
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\item \url{http://thorsten-wissmann.de/theses/project-wissmann.pdf}
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\item \url{http://thorsten-wissmann.de/theses/bachelor-thesis-wissmann.pdf}
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\end{itemize}
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\section{Meaning}
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It is not mandatory at all to use this template for your final thesis. It is
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just a suggestion! You are also allowed to change anything you would like to
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change in order to fit your needs/taste/$\ldots$.
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Of course, you should adjust some places when using it for your final thesis:
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\begin{enumerate}
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\item In the parameters to the \texttt{hyperref}-package, you should adjust the
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fields \texttt{pdfauthor} and \texttt{pdftitle} to your name and the title of
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your thesis.
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\item In \texttt{src/titlepage.tex} you should adjust the title and (possibly
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the) subtitle of your thesis, the degree of your thesis (Masters degree?
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Bachelor?), your name and the name of your advisors.
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\end{enumerate}
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\section{Some hints}
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\subsection{Macros}
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% some macros only needed for these hints here
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\newcommand{\C}{\ensuremath{\mathcal{C}}\xspace}
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\newcommand{\preview}[2]{
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\begin{center}
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\fbox{\begin{minipage}[t]{.47\textwidth}
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#1
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\end{minipage}}%
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\hspace{.02\textwidth}%
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\fbox{\begin{minipage}[t]{.47\textwidth}
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#2
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\end{minipage}}%
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\end{center}}
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When using certain mathematical symbols very often, it makes sense to define
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macros for them, e.g.~
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\begin{verbatim}
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\newcommand{\C}{\ensuremath{\mathcal{C}}\xspace}
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\end{verbatim}
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The \texttt{ensuremath} enforces mathmode and the \texttt{xspace} inserts a
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space if necessary:
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\preview{
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\Verb|Some \textbackslash C in the midle of the sentence|
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\Verb|and at the end: \textbackslash C.|
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}{
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Some \C in the midle of the sentence
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and at the end: \C.
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}
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\subsection{UTF-8}
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I strongly recommend exploiting the utf8 capability of \LaTeX:
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\begin{verbatim}
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\usepackage{newunicodechar}
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\newunicodechar{∀}{\ensuremath{\forall}}
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\newunicodechar{∃}{\ensuremath{\exists}}
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\newunicodechar{×}{\ensuremath{\times}}
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\newunicodechar{ø}{\ensuremath{\emptyset}}
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\newunicodechar{≤}{\ensuremath{\le}}
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\newunicodechar{∈}{\ensuremath{\in}}
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\newunicodechar{→}{\ensuremath{\to}}
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\newunicodechar{⊆}{\ensuremath{\subseteq}}
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\newunicodechar{⊗}{\ensuremath{\otimes}}
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\newunicodechar{∧}{\ensuremath{\wedge}}
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\end{verbatim}
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with that, you can write:
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\begin{verbatim}
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\begin{definition}[Transitivity]
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A relation $\text{``}≤\text{''} ⊆ X×X$ has upper bounds if
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\[
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∀a,b ∈ X\ ∃ c ∈ X: a ≤ c ∧ b ≤ c
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\]
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\end{definition}
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\end{verbatim}
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It will result in the following:
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\begin{definition}[Transitivity]
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A relation $\text{``}≤\text{''} ⊆ X×X$ has upper bounds if
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\[
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∀a,b ∈ X\ ∃ c ∈ X: a ≤ c ∧ b ≤ c
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\]
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\end{definition}
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In order to input unicode characters, just configure a compose key, e.g.:
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\begin{itemize}
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\item \url{https://en.wikipedia.org/wiki/Compose_key}
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\item
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\url{https://wiki.archlinux.org/index.php/Keyboard_configuration_in_Xorg#Configuring_compose_key}
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\end{itemize}
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\subsection{Autoref}
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Let \LaTeX~include whether something references is a definition or what else
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using the \texttt{\textbackslash autoref} command:
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\begin{verbatim}
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\begin{definition}[label={relation},name={Relation}]
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A relation $R$ between sets $X$ and $Y$ is just a subset of $X×Y$.
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\end{definition}
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We have just seen \autoref{relation}.
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\end{verbatim}
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This results in:
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\begin{definition}[label={relation},name={Relation}]
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A relation $R$ between sets $X$ and $Y$ is just a subset of $X×Y$.
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\end{definition}
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We have just seen \autoref{relation}.
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\subsection{Further Comments}
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For even more convenience while writing, you should look at the following:
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synctex, git (for managing your \TeX-sources).
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% vim: tw=80 nospell spelllang=en nocul
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