Shandong University thesis (sduthesis)

% 山东大学学士学位论文 / Shandong University bachelor thesis on sduthesis.cls.
% Build with XeLaTeX and BibTeX.
% Options: nochsstyle (English running heads and plain ctex headings), print (black links),
% single (one-sided margins). The Chinese fonts are ctex's default for the system (Fandol on
% Linux); add fontset=windows to \documentclass when the Windows fonts are available.
\documentclass{sduthesis}

\fenlei{TN911}                 % 中图分类号
\DWdaihao{10422}               % 单位代号
\miji{公开}                     % 密级
\StuNum{000000000000}          % 学号
\Ctitle{Your paper}             % 中文标题
\Cauthor{作者姓名}              % 作者
\Dpart{某某学院}                % 学院
\Cmajor{计算机科学与技术}        % 专业
\Grade{2023级}                 % 年级
\Csuperver{导师姓名~~教授}       % 指导老师
\Cdate{二〇二七年五月}           % 日期

\title{Your paper}
\author{作者姓名}

% The cover places the university's calligraphic name from the image SDUWords.jpg, which TeX
% installs with the class. This sample sets the name in type instead.
\makeatletter
\patchcmd{\maketitlepage}
  {\includegraphics[width = .7\textwidth]{SDUWords.jpg}}
  {{\zihao{1}\heiti 山\quad 东\quad 大\quad 学}}
  {}{\PackageWarning{main}{cover name image not replaced}}
\makeatother

\usepackage{tikz}
\usepackage[numbers,sort&compress]{natbib}

\begin{document}

% Cover, originality statement and authorisation, then roman-numbered front matter.
\maketitlepagestatement

\begin{cnabstract}
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。

\cnkeywords{信息论，熵，学位论文}
\end{cnabstract}

\begin{enabstract}
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.

\enkeywords{information theory, entropy, thesis}
\end{enabstract}

% The class's \tableofcontents also starts the main matter.
\tableofcontents

\chapter{绪论}
\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\upcite{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}
  \label{tab:data}
  \begin{tabular}{lrr}
    \toprule
    数据集 & 样本数 & 符号数 \\
    \midrule
    A & 1200 & 4 \\
    B & 3500 & 8 \\
    C & 9800 & 16 \\
    \bottomrule
  \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~\eqref{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}
  \label{fig:entropy}
\end{figure}

\backmatter

\chapter{致\quad 谢}
感谢导师的悉心指导，感谢所有给予帮助的老师和同学。

% Numeric references in the GB/T 7714-2015 format (gbt7714 bundle).
\bibliographystyle{gbt7714-numerical}
\bibliography{references}

\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}.