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Author:

Robin Ehrminger

License:

Creative Commons CC BY 4.0
^{(?)}

Abstract:

This template was used for the master thesis (spring 2016) at the faculty of mechanical engineering at TTU.

The structure of the thesis body is written by Mauricio Lobos and for a better understanding and navigation you can check his tutorial on YouTube.

Tags:

Author:

Robin Ehrminger

License:

Creative Commons CC BY 4.0
^{(?)}

Abstract:

This template was used for the master thesis (spring 2016) at the faculty of mechanical engineering at TTU.

The structure of the thesis body is written by Mauricio Lobos and for a better understanding and navigation you can check his tutorial on YouTube.

` ````
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% document class
\documentclass[a4paper]{book}
%% packages
\input{settings/packages}
\usepackage{setspace}
%% page settings
\input{settings/page}
%% own commands
%\newcommand{\tbi}[1]{\textbf{\textit{#1}}}
\input{settings/macros}
\newcommand{\imp}[1]{\underline{\textit{#1}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\pagestyle{empty}
\title{Your Title}
\author{Author}
\date{}
\maketitle
\input{content/title_page_1} % downloaded template
\pagestyle{plain}
%\listoftodos
\tableofcontents
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Introduction}
\onehalfspacing
\pagestyle{fancy}
\fancyhf{}
\fancyhead[OC]{\leftmark}
\fancyhead[EC]{\rightmark}
%\renewcommand{\footrulewidth}{1pt}
\cfoot{\thepage}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Problem definition}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Task description
clearing out what I am trying to do
Challenge description:
Hypothesis: When appropriate formulate a testable hypothesis
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Motivation}
\section{Summary}
The head and foot of the document can be adapted using the packages \imp{fancyhdr}. The using the commands, e.g., \imp{pagestyle\{fancy\}}, \imp{l/c/rhead/foot} or with \imp{fancyhead/foot[EL,CO]} the respective parts can be edited as needed.
\chapter{Background}
\section{Existing solutions}
- describe the current understanding of the problem
- existing solutions
- barrier of this solutions
\section{Literature review}
-Review the pertinent literature
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Methods and Materials}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Equations and math mode}
We are able to create automatically enumerated equation as the following one
\begin{equation}
f(x)
= A^{23}_{ijkl}(x) \int_0^l\limits g(y,x) \frac{\partial h(y,x)}{\partial y} d y \ .
\label{math_fe}
\end{equation}
Equation can be given a name/label. In order to refer to it later in the text the package \imp{amsmath} has to be included. After including the package, the command to refer to labeled equation is \eqref{math_fe}.
Equation without a number can be created as follows
\begin{equation*}
f(x)
= A^{23}_{ijkl}(x) \int_0^l\limits g(y,x) \frac{\partial h(y,x)}{\partial y} d y \ ,
\end{equation*}
or alternatively
\[
f(x)
= A^{23}_{ijkl}(x) \int_0^l\limits g(y,x) \frac{\partial h(y,x)}{\partial y} d y \ .
\]
You can also create a so called equation array with automatic numbering, e.g.,
\begin{eqnarray}
f(x)
&=& (x+a)^2 \label{eqna1} \\
&=& (x+a)(x+a) \label{eqna2}\\
&=& x^2 + 2 x a + a^2
\label{eqnaend}
\end{eqnarray}
You can refer to \eqref{eqna1} and \eqref{eqnaend} separately. The very same can be created without any numbers as
\begin{eqnarray*}
f(x)
&=& (x+a)^2 \\
&=& (x+a)(x+a) \\
&=& x^2 + 2 x a + a^2
\end{eqnarray*}
Sometimes math content will be explained directly within the text. For these cases the math mode using \imp{\$\$} can be used, e.g., $f(x) = x^{234}_{ijkl}$.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Arrays and matrices}
Arrays can be used within math environments in order to create a grid with math elements, e.g.,
\begin{equation}
\begin{array}{rcr}
x + y + z
& m_{1234567}
& 13425436543634 \\
A^{23}_{ijkl}(x) \int_0^l\limits g(y,x) \frac{\partial h(y,x)}{\partial y} d y
& n_{k}
& 123
\end{array}
\end{equation}
A set of equations can also be arranged as follows
\begin{equation}
\begin{array}{rcl}
f(x)
&=& A^{23}_{ijkl}(x) \int_0^l\limits g(y,x) \frac{\partial h(y,x)}{\partial y} d y \\
&=& 7 x \ .
\end{array}
\end{equation}
This is an alternative to \imp{eqnarray} with a single centered number, but some symbols may not be displayed as wanted. In order to force a full size display of a chosen element of the array the command \imp{displaystyle} can be used
\begin{equation}
\begin{array}{rcl}
f(x)
&=& \displaystyle A^{23}_{ijkl}(x) \int_0^l\limits g(y,x) \frac{\partial h(y,x)}{\partial y} d y \\
&=& 7 x \ .
\end{array}
\end{equation}
Arrays can also be used in order to represent matrices, e.g.,
\begin{equation}
\left(
\begin{array}{cccc}
123123 & 324 & 214 & 4 \\
43& 345345645 & 45353465 & 346
\end{array}
\right) \ .
\end{equation}
Alternatively matrices can be created with the following environments
\begin{equation}
\begin{pmatrix}
123123 & 324 & 214 & 4 \\
43& 345345645 & 45353465 & 346
\end{pmatrix}
\quad
\begin{bmatrix}
123123 & 324 & 214 & 4 \\
43& 345345645 & 45353465 & 346
\end{bmatrix}
\end{equation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Math fonts}
Depending on what is to be presented or discussed in the work, several math fonts might be useful for different concepts. For extended fonts the package \imp{amssymb} is needed. The basic fonts are then
\[
\begin{array}{lccccc}
\text{default} & r & R & Sym^+ & \gamma & \Gamma \\
\text{bb} & \mathbb{r} & \mathbb{R} & \mathbb{Sym^+} & \mathbb{\gamma}& \mathbb{\Gamma} \\
\text{bf} & \mathbf{r} & \mathbf{R} & \mathbf{Sym^+} & \mathbf{\gamma}& \mathbf{\Gamma} \\
\text{cal} & \mathcal{r} & \mathcal{R} & \mathcal{Sym^+} & \mathcal{\gamma}& \mathcal{\Gamma} \\
\text{frak} & \mathfrak{r} & \mathfrak{R} & \mathfrak{Sym^+} & \mathfrak{\gamma}& \mathfrak{\Gamma} \\
\text{it} & \mathit{r} & \mathit{R} & \mathit{Sym^+} & \mathit{\gamma}& \mathit{\Gamma} \\
\text{rm} & \mathrm{r} & \mathrm{R} & \mathrm{Sym^+} & \mathrm{\gamma}& \mathrm{\Gamma} \\
\text{sf} & \mathsf{r} & \mathsf{R} & \mathsf{Sym^+} & \mathsf{\gamma}& \mathsf{\Gamma} \\
\text{tt} & \mathtt{r} & \mathtt{R} & \mathtt{Sym^+} & \mathtt{\gamma}& \mathtt{\Gamma} \\
\text{boldsymbol} & \boldsymbol{r} & \boldsymbol{R} & \boldsymbol{Sym^+} & \boldsymbol{\gamma}& \boldsymbol{\Gamma} \\
\end{array}
\]
The commands \imp{mathbb} and others can be changed using different packages, e.g., \imp{euscript} and \imp{lucida} (look for latex math fonts in stackexchange). It is very useful to define the most used fonts as new commands within your personal macros, e.g., $\bbA$.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Math symbols}
\label{math_msymb}
The amount of math symbols offered in latex is immense. Some of them are, e.g.,
\begin{equation}
\sum , \int , \iiint , \nabla , \cdot , \times , \otimes , \rightarrow , \Rightarrow , \bigcup , \in , \subset .
\end{equation}
You will have to look for those you might need.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Results}
\label{href}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{The package hyperref}
The package \imp{hyperref} is the package for referring to labeled elements of a document and hyperlinks. Now, chapters, sections, equations, figures, tables and other elements can be labeled and referred to, e.g., \autoref{math_fe}, \autoref{math_msymb} and \autoref{href}. These are clickable links which in the pdf redirects the reader to the referred element (with ALT+LEFT you can then go back to where you were reading). Here, different alternatives can be used, e.g., \ref{href}, \autoref{href} or \hyperref[href]{Chapter \ref*{href}}. Depending on which language you have to write something, you may need language options (e.g., ngerman for German hyperlinks).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Hyperlinks to internet sites, email and attached files}
Hyperlinks can be added as, e.g., \url{http://miktex.org/} or \href{http://miktex.org/}{click me}. Sending an email to a prescribed address can be done by \href{mailto:name.lastname@address.org}{name.lastname@address.org}. If the pdf is delivered within a folder with useful files, these files can be linked in the pdf, e.g., \href{run:attachments/manipulate.nb}{manipulate} or \href{run:attachments/video.mp4}{video}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Literature references}
Bibtex files with literature information can be created either manually or using literature manager programs like \href{http://www.mendeley.com/}{Mendeley} or \href{http://citavi.com/en/index.html}{Citavi}. The bibtex file must be included in the project with \imp{bibliography} pointing to the file, together with \imp{bibliographystyle} and a packages for citing commands. With the commands \imp{cite/p} elements of the included file are then cited, e.g., \cite{Hill1952} and \citep{Kroner1977}. Make sure that while compiling you have chosen a procedure including bibtex (see compiling options). Sometimes it may be necessary to delete all files but not the main.tex file in order to be able to compile again the project, if bibliography styles have been changed.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Conclusion}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Figures}
In almost every document figures will be needed in order to explain a concept or just present something. The package \imp{graphicx} is needed for embedding figures.
\begin{figure}[!h]
\centering
\includegraphics[width=0.3\textwidth]{figures/cube}
\caption{A figure caption beneath the figure for description of the depicted concept which sometimes can be very long}
\label{ft_fig_firstfig}
\end{figure}
In \autoref{ft_fig_firstfig}, for example, a PNG image is depicted (compiled with pdflatex). Alternatively, EPS figures can be embedded if dvips and ps2pdf compilation is used. All figures are listed in the list of figures with the command \imp{listoffigures}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Tables}
Data can be presented in tables, e.g., as shown in \autoref{ft_tab_ex}.
\begin{table}[!h]
\centering
\begin{tabular}{l|cl}
\hline \hline
& Property 1
& Property 2\\ \hline
Criterion 1
& 764
& 23546 \\
Criterion 2
& 3
& 34 \\
\hline \hline
\end{tabular}
\caption{Exemplary table}
\label{ft_tab_ex}
\end{table}
Sometimes very long tables must be presented which may also go over pages. For this cases the packages \imp{longtable} is useful, as used in
\begin{center}
\begin{longtable}{l|l|l}
% \baselinestretch{1.5}
\hline \hline
$i^3$ & $2i^3$ & $3i^3$ \bigstrut \\ \hline
\endfirsthead
\multicolumn{3}{c}{\tablename\ \thetable{} -- information message on top} \\
\hline
$i^3$ & $2i^3$ & $3i^3$ \bigstrut \\ \hline
\endhead
\hline
\multicolumn{3}{c}{Foot information} \\ \hline
\endfoot
\hline \hline
\caption{Long Table}
\label{lt}
\endlastfoot
1 & 2 & 3 \\
8 & 16 & 24 \\
27 & 54 & 81 \\
64 & 128 & 192 \\
125 & 250 & 375 \\
216 & 432 & 648 \\
343 & 686 & 1029 \\
512 & 1024 & 1536 \\
729 & 1458 & 2187 \\
1000 & 2000 & 3000 \\
1331 & 2662 & 3993 \\
1728 & 3456 & 5184 \\
2197 & 4394 & 6591 \\
2744 & 5488 & 8232 \\
3375 & 6750 & 10125 \\
4096 & 8192 & 12288 \\
4913 & 9826 & 14739 \\
5832 & 11664 & 17496 \\
6859 & 13718 & 20577 \\
8000 & 16000 & 24000 \\
9261 & 18522 & 27783 \\
10648 & 21296 & 31944 \\
12167 & 24334 & 36501 \\
13824 & 27648 & 41472 \\
15625 & 31250 & 46875 \\
17576 & 35152 & 52728 \\
19683 & 39366 & 59049 \\
21952 & 43904 & 65856 \\
24389 & 48778 & 73167 \\
27000 & 54000 & 81000 \\
29791 & 59582 & 89373 \\
32768 & 65536 & 98304 \\
35937 & 71874 & 107811 \\
39304 & 78608 & 117912 \\
42875 & 85750 & 128625 \\
46656 & 93312 & 139968 \\
50653 & 101306 & 151959 \\
54872 & 109744 & 164616 \\
59319 & 118638 & 177957 \\
64000 & 128000 & 192000 \\
68921 & 137842 & 206763 \\
74088 & 148176 & 222264 \\
79507 & 159014 & 238521 \\
85184 & 170368 & 255552 \\
91125 & 182250 & 273375 \\
97336 & 194672 & 292008 \\
103823 & 207646 & 311469 \\
110592 & 221184 & 331776 \\
117649 & 235298 & 352947 \\
125000 & 250000 & 375000 \\
\end{longtable}
\end{center}
All tables are listed with \imp{listoftables}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Enumerate and itemize}
If important sequential points are to presented the environment \imp{enumerate} can be used as follows:
\begin{enumerate}
\item
Some important stuff
\item
More stuff
\end{enumerate}
With the package \imp{enumerate} some options can be used, e.g.,
\begin{enumerate}[a)]
\item
Some important stuff
\item
More stuff
\end{enumerate}
or
\begin{enumerate}[~~~1)]
\item
Some important stuff
\item
More stuff
\end{enumerate}
Alternatively, point can be just presented without any enumeration with the environment \imp{itemize}
\begin{itemize}
\item
Some important stuff
\item
More stuff
\end{itemize}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\chapter{Appendix, footnotes, todos and index}
\begin{appendix}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Just an example appendix}
\label{app_ex1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Appendix}
%
%For many reasons some concept may be important for the document but too long for the main text. In this kind of cases these concept can be presented with the environment \imp{appendix} in appendices, e.g., as in \autoref{app_ex1} and \autoref{app_ex2}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Footnotes}
%
%You may want to give additional information to some points\footnote{Bla bla} in the text\footnote{Blu blup}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Todos}
%
%With the package \imp{todonotes} comments\todo{like this one}\ pointing to their place can be embedded into the text. These comments are veeeery useful if you are writing something for the first time or are working on a draft. The todos can be listed with \imp{listoftodos} where you want it to appear in order to see what is unfinished or needs some more work.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Index}
%
%If the document is very long, it may be very useful for a lot of readers to have an index for searching key words and certain concepts (Crtl+F is usually very helpful in PDFs but not always the best solution). For this, the package \imp{makeidx}, the commands \imp{makeindex} and \imp{printindex} and the compiling option \imp{make index} are needed. You may want to index different words like heterogeneous materials\index{Heterogeneous materials}, effective properties\index{Effective properties} and homogenization\index{Homogenization}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\begin{appendix}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\chapter{Just an example appendix}
%\label{app_ex1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Bla blup}
%
%Sme stuff
%\begin{equation}
% f(x) = \int_{\Omega} g(x) dx \ .
%\end{equation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\chapter{Another example}
%\label{app_ex2}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{More stuff}
%Bla bla.
\end{appendix}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\bibliographystyle{plain}
\bibliographystyle{abbrvnat}
\bibliography{literature/library}
\listoffigures
\listoftables
\printindex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\end{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
```

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