ShanghaiTech University thesis (shtthesis)

% 上海科技大学学位论文 / ShanghaiTech University thesis on shtthesis.cls. Build with XeLaTeX and biber.
% Degree option: bachelor | master | doctor (exactly one). Further options: anonymous (blind
% review), print (binding margins, black links), comfort (bachelor only).
% fontset=fandol uses the Fandol fonts in TeX Live; use fontset=windows when the Windows fonts
% are available. The class sets the bibliography style itself (GB/T 7714-2015 author-year for
% graduate theses, numeric for bachelor theses) and reads the .bib file named in bib-resource.
\documentclass[master,fontset=fandol]{shtthesis}

\shtsetup{
  degree-name  = {工学硕士},
  degree-name* = {Master~of~Science~in~Engineering},
  title  = {Your paper},
  title* = {Your paper},
  keywords  = {信息论，熵，学位论文},
  keywords* = {information theory, entropy, thesis},
  author  = {作者姓名},
  author* = {Author~Name},
  institution  = {某某学院},
  institution* = {School~of~Name\\ShanghaiTech~University},
  supervisor  = {导师姓名~教授},
  supervisor* = {Professor~Supervisor~Name},
  supervisor-institution = {某某学院},
  discipline-level-1  = {计算机科学与技术},
  discipline-level-1* = {Computer~Science~and~Technology},
  date  = {2027~年~5~月},
  date* = {May,~2027},
  bib-resource = {references.bib},
}

\usepackage{tikz}

% The class prints the university emblem on the cover from shanghaitech-emblem.pdf, which is
% not installed with TeX; without the file it prints a request to download it. This sample
% leaves the emblem space empty instead. Delete these lines to use the class's behaviour.
\makeatletter
\renewcommand\sht@schoollogo{}
\renewcommand\sht@head@logo{}
\makeatother

\begin{document}

\maketitle

\frontmatter

\begin{abstract}
  本文研究离散信源的熵。摘要应概括研究的问题、方法、结果和结论。
\end{abstract}

\begin{abstract*}
  This thesis studies the entropy of a discrete source. The abstract states the problem, the
  method, the main results and the conclusions in one or two paragraphs.
\end{abstract*}

\makeindices

\mainmatter

\chapter{引言}
\label{chap:introduction}

本章说明论文研究的问题及其意义。信息论的基本概念见文献~\cite{shannon1948}。
This chapter states the problem and the plan of the thesis.

\section{研究内容}

列出本文要回答的两到三个问题。

\chapter{方法}
\label{chap:method}

\section{模型}

设离散信源有 $n$ 个符号，其概率为 $p_1, \dots, p_n$，则信源的熵为
\begin{equation}
  H = -\sum_{i=1}^{n} p_i \log_2 p_i ,
  \label{eq:entropy}
\end{equation}
当各符号等概率时熵最大。

\section{数据}

表~\ref{tab:data} 列出了实验所用的三个数据集。

\begin{table}[htbp]
  \centering
  \caption{实验数据集 (Data sets)}
  \label{tab:data}
  \begin{tabular}{lrr}
    \hline
    数据集 & 样本数 & 符号数 \\
    \hline
    A & 1200 & 4 \\
    B & 3500 & 8 \\
    C & 9800 & 16 \\
    \hline
  \end{tabular}
\end{table}

\chapter{结果与结论}
\label{chap:results}

图~\ref{fig:entropy} 给出二元信源的熵随概率 $p$ 的变化，在 $p = 0.5$ 时取最大值 1 比特，与式~(\ref{eq:entropy}) 一致。

\begin{figure}[htbp]
  \centering
  \begin{tikzpicture}[x=6cm,y=3cm]
    \draw[->] (0,0) -- (1.1,0) node[right] {$p$};
    \draw[->] (0,0) -- (0,1.15) node[above] {$H(p)$};
    \foreach \t in {0.5,1} \draw (\t,0) -- (\t,-0.03) node[below] {\t};
    \draw[thick,domain=0.01:0.99,samples=60] plot (\x, {-\x*log2(\x)-(1-\x)*log2(1-\x)});
  \end{tikzpicture}
  \caption{二元信源的熵 (Entropy of a binary source)}
  \label{fig:entropy}
\end{figure}

\makebiblio

\backmatter

\begin{acknowledgement}
  感谢导师的悉心指导，感谢所有给予帮助的老师和同学。
\end{acknowledgement}

\begin{resume}
  作者姓名，某某学院硕士研究生。
\end{resume}

\end{document}

@article{shannon1948,
  author  = {Shannon, C. E.},
  title   = {A Mathematical Theory of Communication},
  journal = {Bell System Technical Journal},
  volume  = {27},
  number  = {3},
  pages   = {379--423},
  year    = {1948},
  doi     = {10.1002/j.1538-7305.1948.tb01338.x}
}

% Add your own entries here, then cite them with cite{key}.