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% Research Proposal for MUST
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% Title:
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% Author:HE PEILIN
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% Last modified: 2022-04-05
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\begin{document}
%\bibliographystyle{alpha}
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% --------------------------
% def information
\def\Ctitle {中文題目}
\def\Etitle {GANxxxxx}
\def\Cname {某某某}
\def\Ename {HE}
\def\Stuno {18098xxx-xxxx-xxxx}
\def\Faculty {xxxx}
\def\Program {xxx}
\def\Major {xxxx}
\def\SupervisorC {xxxx}
\def\SupervisorE {xxxx}
\newcommand{\Stoday}{\number\year 年 \number\month 月 \number\day 日}
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\addcontentsline{toc}{chapter}{摘要}
\lhead{\Etitle}
\rhead{\small 摘要}
\setlength{\parskip}{0pt}
\chapter*{摘要} \par
\bigskip
\hspace*{1em}
摘要
\vspace{2em}
\par \noindent\textbf{關鍵詞: XXXX}
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\chapter*{Abstract} \par
\bigskip
\hspace*{1em}
Abstract
\vspace{2em}
\par \noindent\textbf{Keywords: XXXX}
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\newpage
\chapter{Chapter one}
\pagenumbering{arabic}
\lhead{\Etitle}
\rhead{\small Chapter one}
\setlength{\parskip}{0pt}
Chapter one's contents. There is the citation. \cite{DBLP:journals/corr/ReedAYLSL16,7780634}
\begin{itemize}
\item Introduction
\item Related work
\item Background
\item Notation
\item Method
\item Experiment
\item Conclusion
\end{itemize}
\begin{enumerate}
\item Introduction
\item Related work
\item Background
\item Notation
\item Method
\item Experiment
\item Conclusion
\end{enumerate}
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\chapter{Chapter two}
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Chapter two'contents.
\section{Section two}\label{Section_two}
\subsection{Table}
Subsection's contents in Table \ref{tab:mul-tab} and \ref{tab:Ntt} .
\begin{table}
%\Large
\fontsize{7}{15}\selectfont
\begin{center}
% \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c| p{0.5cm}|}
\caption[Comparison of the APs and mAPs with our framework and those from DPM and R-CNN.]{Comparison of the APs and mAPs with our framework and those from DPM and R-CNN on PASCAL VOC 2007 testing dataset.}\label{tab:mul-tab}
\begin{tabu} to 1.00\textwidth{|X[c]|X[c] X[c] X[c] X[c] X[c] X[c] X[c] p{0.5cm}|}
\hline
&plane&bike&bird&boat&bottle&bus&car&cat \\ \hline
DPM&0.0&0.0&0.0&0.0&0.0&0.0&0.0&0.0 \\ \hline
R-CNN&0.0&0.0&0.0&0.0&0.0&0.0&0.0&0.0 \\ \hline
Ours&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0} \\ \hline
% \end{tabular}
\end{tabu}
\vspace{1cm}
\begin{tabu} to 1.00\textwidth{|X[c]|X[c] X[c] X[c] X[c] X[c] X[c] X[c] p{0.5cm}|}
\hline
&chair&cow&table&dog&horse&mbik&pers&plant \\ \hline
DPM&0.0&0.0&0.0&0.0&0.0&0.0&0.0&0.0 \\ \hline
R-CNN&0.0&0.0&0.05&56.1&60.6&66.8&54.2&{\bf0.0} \\ \hline
Ours&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&{\bf0.0}&0.0 \\ \hline
% \end{tabular}
\end{tabu}
\end{center}
\end{table}
\def\degree{${}^\circ$}
\begin{table}[h]
\begin{center}
\begin{tabularx}{\textwidth}{cX}
\toprule
\multicolumn{1}{m{3cm}}{\centering Symbol}
&\multicolumn{1}{m{15cm}}{\centering Definition}\\
\midrule
$s$&Angles of 45\degree in n-polygon \\
$r$&Angles of 90\degree in n-polygon\\
$l$&Angles of 135\degree in n-polygon\\
$S$& The aggregate of all space not matched any piece \\
$P$& The aggregate of the weight point position in two-dimensional array\\
$H$& Threshold evaluating the probability to search next state\\
$\eta(p,d)$&Thresholding function of Simulated Annealing\\
\bottomrule
\end{tabularx}
\caption{Notations}\label{tab:Ntt}
\end{center}
\end{table}
\subsection{Algorithms}
Subsection's contents.
The Algorithms \ref{algo:intervalR} and Algorithms \ref{algo:function}:
\begin{algorithm}
\DontPrintSemicolon
%%%%%%%%%%%%%
% set keywords arguments
\KwData{$G=(X,U)$ such that $G^{tc}$ is an order.}
\KwResult{$G'=(X,V)$ with $V\subseteq U$ such that $G'^{tc}$ is an
interval order.}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\Begin{
$V \longleftarrow U$\;
$S \longleftarrow \emptyset$\;
\For{$x\in X$}{
$NbSuccInS(x) \longleftarrow 0$\;
$NbPredInMin(x) \longleftarrow 0$\;
$NbPredNotInMin(x) \longleftarrow |ImPred(x)|$\;
}
\For{$x \in X$}{
\If{$NbPredInMin(x) = 0$ {\bf and} $NbPredNotInMin(x) = 0$}{
$AppendToMin(x)$}
}
\nl\While{$S \neq \emptyset$}{\label{InRes1}
\nlset{REM} remove $x$ from the list of $T$ of maximal index\;\label{InResR}
\lnl{InRes2}\While{$|S \cap ImSucc(x)| \neq |S|$}{
\For{$ y \in S-ImSucc(x)$}{
\{ remove from $V$ all the arcs $zy$ : \}\;
\For{$z \in ImPred(y) \cap Min$}{
remove the arc $zy$ from $V$\;
$NbSuccInS(z) \longleftarrow NbSuccInS(z) - 1$\;
move $z$ in $T$ to the list preceding its present list\;
\{i.e. If $z \in T[k]$, move $z$ from $T[k]$ to
$T[k-1]$\}\;
}
$NbPredInMin(y) \longleftarrow 0$\;
$NbPredNotInMin(y) \longleftarrow 0$\;
$S \longleftarrow S - \{y\}$\;
$AppendToMin(y)$\;
}
}
$RemoveFromMin(x)$\;
}
}
\caption{IntervalRestriction\label{IR}}
\label{algo:intervalR}
\end{algorithm}
\begin{algorithm}
%%%%%%%%%%%%%
% set keywords function
\SetKwProg{Fn}{Function}{ is}{end}
\newcommand{\forcond}{$i=0$ \KwTo $n$}
\SetKwFunction{FRecurs}{FnRecursive}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\Fn(\tcc*[h]{algorithm as a recursive function}){\FRecurs{some args}}
{
\KwData{Some input data\\these inputs can be displayed on several lines and one
input can be wider than line's width.}
\KwResult{Same for output data}
\tcc{this is a comment to tell you that we will now really start code}
\If(\tcc*[h]{a simple if but with a comment on the same line}){this is true}
{
we do that, else nothing\;
\tcc{we will include other if so you can see this is possible}
\eIf{we agree that}
{
we do that\;
}
{
else we will do a more complicated if using else if\;
\uIf{this first condition is true}
{
we do that\;
}
\uElseIf{this other condition is true}
{
this is done\tcc*[r]{else if}
}
\Else
{
in other case, we do this\tcc*[r]{else}
}
}
}
\tcc{now loops}
\For{\forcond}
{
a for loop\;
}
\While{$i<n$}{
a while loop including a repeat--until loop\;
\Repeat{this end condition}
{
do this things\;
}
}
They are many other possibilities and customization possible that you have to
discover by reading the documentation.
}
\caption{Algorithm as a Recursive Function}
\label{algo:function}
\end{algorithm}
\subsection{Figure}
Figure contents
\subsubsection{Subfigure}
In Figure \ref{fig:MUST1} and Figure \ref{fig:MUST2}, ....
\begin{figure}[!htbp]
\begin{minipage}[t]{0.5\linewidth}
\centering
\includegraphics[width=\textwidth]{figure/MUSTSchoolBadgecolor.pdf}
\end{minipage}
\begin{minipage}[t]{0.5\linewidth}
\centering
\includegraphics[width=\textwidth]{figure/MUSTSchoolBadgecolor.pdf}
\end{minipage}
\caption{MUSTSchoolBadgecolor.pdf}
\label{fig:MUST1}
\end{figure}
\begin{figure}[!htbp]
\begin{minipage}[t]{0.5\linewidth}
\centering
\includegraphics[width=\textwidth]{figure/MUSTSchoolBadgecolor.pdf}
\end{minipage}
\begin{minipage}[t]{0.5\linewidth}
\centering
\includegraphics[width=\textwidth]{figure/MUSTSchoolBadgecolor.pdf}
\end{minipage}
\begin{minipage}[t]{0.5\linewidth}
\centering
\includegraphics[width=\textwidth]{figure/MUSTSchoolBadgecolor.pdf}
\end{minipage}
\begin{minipage}[t]{0.5\linewidth}
\centering
\includegraphics[width=\textwidth]{figure/MUSTSchoolBadgecolor.pdf}
\end{minipage}
\caption{MUSTSchoolBadgecolor.pdf - 2 }
\label{fig:MUST2}
\end{figure}
\subsubsection{Tikz Figure}
In Figure \ref{fig:flowchart} \footnote{referred from \url{https://latexdraw.com/draw-flowcharts-latex-tutorial/}} ....
\begin{figure}
\centering
\begin{tikzpicture}[font=\small,thick]
% Start block
\node[draw,
rounded rectangle,
minimum width=2.5cm,
minimum height=1cm] (block1) {START};
% Voltage and Current Measurement
\node[draw,
trapezium,
trapezium left angle = 65,
trapezium right angle = 115,
trapezium stretches,
below=of block1,
minimum width=3.5cm,
minimum height=1cm
] (block2) { Measure $I_k$, $V_k$ };
% Power and voltage variation
\node[draw,
below=of block2,
minimum width=3.5cm,
minimum height=1cm
] (block3) { $\Delta P=P_k-P_{k-1}$ \hspace{1em} $\Delta V=V_k-V_{k-1}$ };
% Conditions test
\node[draw,
diamond,
below=of block3,
minimum width=2.5cm,
inner sep=0] (block4) { $\Delta P>0$};
\node[draw,
diamond,
below left=of block4,
minimum width=2.5cm,
inner sep=0] (block5) { $\Delta V>0$};
\node[draw,
diamond,
below right=of block4,
minimum width=2.5cm,
inner sep=0] (block6) { $\Delta V>0$};
% Increase and Decrease duty cycle
\node[draw,
below=of block5,
minimum width=2.5cm,
minimum height=1cm] (block7) { $D=D+\Delta D$};
\node[draw,
left=of block7,
minimum width=2.5cm,
minimum height=1cm] (block8) { $D=D-\Delta D$};
\node[draw,
below=of block6,
minimum width=2.5cm,
minimum height=1cm] (block9) { $D=D-\Delta D$};
\node[draw,
right=of block9,
minimum width=2.5cm,
minimum height=1cm] (block10) { $D=D+\Delta D$};
% Return block
\node[draw,
rounded rectangle,
below=5cm of block4,
minimum width=2.5cm,
minimum height=1cm,] (block11) { RETURN};
\node[coordinate,below=4.35cm of block4] (block12) {};
% Arrows
\draw[-latex] (block1) edge (block2)
(block2) edge (block3)
(block3) edge (block4);
\draw[-latex] (block4) -| (block5)
node[pos=0.25,fill=white,inner sep=0]{Yes};
\draw[-latex] (block4) -| (block6)
node[pos=0.25,fill=white,inner sep=0]{No};
\draw[-latex] (block5) edge node[pos=0.4,fill=white,inner sep=2pt]{No}(block7)
(block5) -| (block8)
node[pos=0.25,fill=white,inner sep=0]{Yes};
\draw[-latex] (block6) edge node[pos=0.4,fill=white,inner sep=2pt]{No}(block9)
(block6) -| (block10)
node[pos=0.25,fill=white,inner sep=0]{Yes};
\draw (block7) |- (block12);
\draw (block9) |- (block12);
\draw (block8) |- (block7|-block12);
\draw (block10) |- (block9|-block12);
\draw[-latex] (block12) -- (block11);
\end{tikzpicture}
\caption{Tikz Flowchart}
\label{fig:flowchart}
\end{figure}
\subsection{Equation}
formula example
\subsubsection{Equtaion}
\begin{equation}
\int _ { - \epsilon } ^ { \infty } d l \: \mathrm { e } ^ { - l \zeta } \int _ { - \epsilon } ^ { \infty } d l ^ { \prime } \mathrm { e } ^ { - l ^ { \prime } \zeta } l l ^ { \prime } { \frac { l ^ { \prime } - l } { l + l ^ { \prime } } } \{ 3 \, \delta ^ { \prime \prime } ( l ) - { \frac { 3 } { 4 } } t \, \delta ( l ) \} = 0 .
\end{equation}
\begin{equation}
d s ^ { 2 } = ( 1 - { \frac { q c o s \theta } { r } } ) ^ { \frac { 2 } { 1 + \alpha ^ { 2 } } } \lbrace d r ^ { 2 } + r ^ { 2 } d \theta ^ { 2 } + r ^ { 2 } s i n ^ { 2 } \theta d \varphi ^ { 2 } \rbrace - { \frac { d t ^ { 2 } } { ( 1 - { \frac { q c o s \theta } { r } } ) ^ { \frac { 2 } { 1 + \alpha ^ { 2 } } } } } \, .
\end{equation}
\subsubsection{Multiple-Line Equation}
\begin{eqnarray}
& { \frac { \phi ^ { \prime \prime } } { A } } + { \frac { 1 } { A } } \left( - { \frac { 1 } { 2 } } { \frac { A ^ { \prime } } { A } } + 2 { \frac { B ^ { \prime } } { B } } + { \frac { 2 } { r } } \right) \phi ^ { \prime } - { \frac { 2 } { r ^ { 2 } } } \phi - \lambda \phi ( \phi ^ { 2 } - \eta ^ { 2 } ) = 0 \, .
\\
& \begin{aligned}
& { \cal L } = - { \frac { 1 } { 4 } } F _ { \mu \nu } F ^ { \mu \nu } + { \bar { \psi } } ( i \gamma ^ { \mu } D _ { \mu } - m ) \psi \, ,
\\
& S \sim \tilde { \psi } Q _ { o } \tilde { \psi } + g _ { s } ^ { 1 / 2 } \tilde { \psi } ^ { 3 } + \tilde { \phi } Q _ { c } \tilde { \phi } + g _ { s } \tilde { \phi } ^ { 3 } + \tilde { \phi } B ( g _ { s } ^ { 1 / 2 } \tilde { \psi } ) + \cdots .
\end{aligned}
\end{eqnarray}
\subsubsection{Theorem}
\begin{theorem}[Separating Axis Theorem] : \footnote{reference from \url{https://en.wikipedia.org/wiki/Hyperplane_separation_theorem}}
Let $A$ and $B$ be two disjoint nonempty convex subsets of $R^n$.
Then there exist a nonzero vector $v$ and a real number $c$ such that
\begin{equation*}
\langle x,v \rangle \geq c \quad \text{\rm and} \quad\langle y,v \rangle \leq c
\end{equation*}\label{theor:sat}
for all $x$ in $A$ and $y$ in $B$; i.e., the hyperplane $\langle\cdot ,v \rangle =c $, $v$ is normal vector, separates $A$ and $B$.
\end{theorem}
%------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\newpage
\chapter{Chapter Three}
%\thispagestyle{plain}
\lhead{\Etitle}
\rhead{\small Chapter Three}
\setlength{\parskip}{0pt}
Chapter Three' contents.
\section{Section 3.1}
Section 3.1's contents.
%-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\newpage
\chapter{Chapter Four}
%\thispagestyle{plain}
\lhead{\Etitle}
\rhead{\small Chapter Four}
\setlength{\parskip}{0pt}
Chapter Four's contents.
\paragraph{Paragraph} This is a paragraph.
\paragraph*{Paragraph} This is a paragraph.
\subparagraph{Sparagraph} This is a subparagraph.
\subparagraph*{Sparagraph} This is a subparagraph.
%-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\newpage
\clearpage
\addcontentsline{toc}{chapter}{Bibliography}
%\thispagestyle{plain}
\lhead{\Etitle}
\rhead{\small Bibliography}
\setlength{\parskip}{0pt}
\bibliographystyle{apalike}
%\bibliographystyle{tJDE}
\bibliography{bibliography/bibliography}
%---------------------------------------------------------------------------
\newpage
\clearpage
\appendix
\chapter*{\appendixpagename}
\renewcommand{\thesection}{\Alph{section}}
\renewcommand{\thesubsection}{\Alph{section}.\arabic{subsection}}
\renewcommand{\thetable}{\Alph{section}.\arabic{subsection}}
\setcounter{table}{0}
\renewcommand{\thefigure}{\Alph{section}.\arabic{subsection}}
\setcounter{figure}{0}
\addappheadtotoc
\thispagestyle{fancy}
\lhead{\Etitle}
\rhead{\small \appendixpagename}
\setlength{\parskip}{0pt}
\section{Code listing}
\subsection{Code Cpp}
\begin{minted}[frame=lines, framesep=2mm,baselinestretch=1.2,breaklines,fontsize=\footnotesize,linenos]{cpp}
// leetcode 94, 110...
#include <iostream>
#include <vector>
#include <stack>
#include <queue>
#include <unordered_map>
using namespace std;
class AVL
{
public:
};
class Node // N-ary tree
{
public:
int val;
vector<Node *> children;
Node() {}
Node(int _val)
{
val = _val;
}
Node(int _val, vector<Node *> _children)
{
val = _val;
children = _children;
}
};
struct TreeNode
{
int val;
TreeNode *left;
TreeNode *right;
TreeNode() : val(0), left(nullptr), right(nullptr) {}
TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
};
vector<int> res;
// N-ary issue
\end{minted}
% \begin{lstlisting}[language=c++]
% \end{lstlisting}
\subsection{Code Latex}
\lstinputlisting[language=TeX, title=\lstname]{titlepage.sty}
%---------------------------------------------------------------------------
\newpage
\clearpage
\addcontentsline{toc}{chapter}{Curriculum Vitae}
\chapter*{Curriculum Vitae}
%\thispagestyle{plain}
\thispagestyle{fancy}
\lhead{\Etitle}
\rhead{\small Curriculum Vitae}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% def user information
\def\Email {\url{john@mailme.com}}
\def\Phone {+1 2345 6789} % +1 2345 6789
\def\Web {\url{www.myweb.com}}
\def\Address {New York, USA}
\def\Photo {figure/photo.jpg} %photo picture address
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Set user information of CV
\userinformation
\aboutme{About Me}
{
}
\CVSection{Educational Background}
\CVItem{2010 - 2011, Cornell University}{MEng in Computer Science}
\CVItem{2007 - 2010, Cornell University}{BS in Computer Science}
\CVSection{Awards}
\CVSection{Working Experience}
\CVSection{Product}
\CVSection{Interests}
%---------------------------------------------------------------------------
\newpage
\clearpage
\addcontentsline{toc}{chapter}{Acknowledgements}
\thispagestyle{fancy}
\lhead{\Etitle}
\rhead{\small Acknowledgements}
\setlength{\parskip}{0pt}
\chapter*{Acknowledgements} \par
\bigskip
I am glad to.....
\vspace{1cm}
\par\rightline{\Ename}
\rightline{\Faculty}
\rightline{\today}
\end{document}

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