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\title{\erhao{\hei{中国科学技术大学——操作系统与编译原理调研}}}
\author{\xiaoerhao{\kai{LXC}}}
\begin{document}
\maketitle
\sanhao{
\song{
\tableofcontents
}
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\sanhao{
\lucida{I am a girl from America, so if I say hello, you can not follow me.}
\courier{I am a girl form America, so if I say hello, you can not follow me.}
\consol{I am a girl form America, so if I say hello, you can not follow me.}
\minion{I am a girl form America, so if I say hello, you can not follow me.}
\song{依然范特西，依然爱你，叶惠美，晴天，我很忙}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%一个论文的模板%!Tex Program = xelatex
% 请在同目录中添加xemod_1.jpg这一图片
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%\usepackage{ccmap} % 使pdfLatex生成的文件支持复制等
\usepackage{graphicx} % 用于图像
\usepackage{caption}
%%%%%%%%%%%%%%%%%%%%%%%以下是版面控制部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{geometry}\geometry{left=2.75cm,right=2.5cm,top=2.5cm,bottom=2.5cm}
\usepackage{indentfirst} % 首行缩进
\usepackage[perpage,symbol]{footmisc}% 脚注控制
\usepackage[sf]{titlesec} % 控制标题
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{\contentspush{\thecontentslabel\ }}
{}{\titlerule*[8pt]{.}\contentspage}
% 添加section在目录里的点号
\usepackage{setspace} % 调节行间距
\usepackage{booktabs} % 用于表格中加下划线
\usepackage{fancyhdr} % 页眉页脚
\usepackage{type1cm} % 控制字体大小
\usepackage{indentfirst} % 首行缩进
\usepackage{makeidx} % 建立索引
\usepackage{textcomp} % 千分号等特殊符号
\usepackage{layouts} % 打印当前页面格式
\usepackage{bbding} % 一些特殊符号
\usepackage{cite} % 支持引用
\setlength{\skip\footins}{0.5cm} % 脚注与正文的距离
%%%%%%%%%%%%%%%%%%%%%%%%%%以上是版面控制部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%以下为中英文字体设置%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{times}
\usepackage{fontspec,xunicode,xltxtra} % XeLaTeX相关字体字库
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\newcommand{\xiaosi}{\fontsize{12pt}{18pt}\selectfont} % 小四, 1.5倍行距
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\setCJKmonofont{SimSun} % 设置等宽字体
\setmainfont{Times New Roman} %设置默认英文字体。
%%%%%%%%%%%%%%%%%%%%%%%%%以上为中英文字体设置%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以下是一些命令或环境的重定义或自定义%%%%%%%%%%%%%%%%%%%%%%
\newtheorem{theorem}{定理}
\newtheorem{definition}{定义}
\newtheorem{property}{问题}
\newtheorem{proposition}{猜测}
\newtheorem{lemma}{引理}
\newtheorem{corollary}{推论}
\renewcommand{\proofname}{证明}
\renewcommand{\contentsname}{\center\hei{\sanhao{目录}}}
\renewcommand{\refname}{\textbf{\xiaosi{\song{参考文献}}}} % 将References改为参考文献
\newenvironment{chabstract}{{\hei{\xiaosi{摘要：}}}} %定义中文摘要
\newenvironment{enabstract}{{\bfseries{\xiaosi\tnroman{Abstract:}}}} %定义英文摘要
\newenvironment{chkeyword}{{\hei{\xiaosi{关键词：}}}} %定义中文关键词
\newenvironment{enkeyword}{{\bfseries{\xiaosi\tnroman{Key words:}}}} %定义英文关键词
\newcommand{\ud}{\mathrm{d}} %用\ud 作为微分算子“d”
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以上是一些命令或环境的重定义或自定义%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以下进入正文%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\title{\hei{\sanhao{六种典型的数列空间和函数空间}}}
\author{\li{\xiaosi{孙悟空}}}
\date{} %本文中手动添加时间
\begin{document}
\begin{titlepage} %封面
\mbox{}
\vspace*{20pt}
%\centerline{\LARGE 综合××××}
\begin{figure}[!htb]
\centering
\includegraphics[height=85pt]{xemod_1.jpg}
\end{figure}
\vspace*{40pt}
\centerline{\fontsize{50pt}{50pt}{本\quad \quad 科\quad \quad 毕\quad \quad 业\quad \quad 论\quad \quad 文}}
\vspace*{180pt}
\begin{spacing}{1.8} %行间距增为1.8倍
\begin{center}
\begin{tabular}{rc}
\sanhao 论文题目：& \sanhao 六种典型的数列空间和函数空间\\ \cmidrule(r){2-2} %第二格加下划线
\sanhao 学生姓名：& \sanhao 悟 \qquad 空\\ \cmidrule(r){2-2}
\sanhao 学\ \ \ \quad 号：& \sanhao 200908012345\\ \cmidrule(r){2-2}
\sanhao 专\ \ \ \quad 业： & \sanhao 数~学~与~信~息~科~学 \\ \cmidrule(r){2-2}
\sanhao 指导老师： & \sanhao 孙 \quad 悟 \quad 饭\\ \cmidrule(r){2-2}
\sanhao 学\ \ \ \quad 院： & \sanhao 数~学~科~学~学~院\\ \cmidrule(r){2-2}
\end{tabular}
\end{center}
\end{spacing}
\vfill
%\centerline{\normalsize ××大学}
\centerline{\sanhao 2012年2月18日}
\end{titlepage}
\thispagestyle{empty} % 首页无页眉页脚
\newpage
\begin{spacing}{2}
\tableofcontents % 插入目录
\end{spacing}
\thispagestyle{empty} % 首页无页眉页脚
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以下是中文摘要、关键词%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\clearpage %双面打印(openright) 用\cleardoublepage，刷新页面信息，为了添加目录章节后页码不乱
\pagenumbering{arabic} %自此处页码开始计数
\addcontentsline{toc}{section}{\textbf{\xiaosi{摘要}}} %创建虚拟章节，便于将摘要部分添加到目录
\maketitle
\begin{chabstract}
本文讨论了本科层次的泛函分析教材中函数空间和数列空间的实例，$\cdots$.\\
\end{chabstract}
\begin{chkeyword}
{\hei\xiaosi{数列空间；函数空间；收敛性； 同构；\tnroman{Fourier}~变换.}}\\
\end{chkeyword}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以上是中文摘要、关键词%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
中图分类号：O177\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以下是英文题目、姓名、摘要、关键词%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{center}{\bfseries{\sanhao\tnroman{Some properties and links between six typical sequence spaces and function spaces}}} \\
\end{center}
\begin{center}{\sihao\tnroman{Sun Wu-kong}}\\
\end{center}
\begin{enabstract}\ {\xiaosi\tnroman{This paper has discussed the instance of sequence spaces and function spaces in the textbooks of undergraduate-level functional analysis $\cdots$\\}}
\end{enabstract}
\begin{enkeyword}
\ {\xiaosi{sequence spaces;\ \ function spaces;\ \ convergence;\ \ isomorphism;\ \ Fourier transform.}}\\
\end{enkeyword}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以上是英文题目、姓名、摘要、关键词%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage
\li{这是隶书}\\
\consol{What a fuck you are dong?}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以下为论文引言部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{\textbf{\xiaosi{引言}}}
{\xiaosi{\song{在一般的本科生泛函分析教材中， $\cdots$ 如~$L^p(\mathbf{E})$~和~$l^p$~}}}\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以上为论文引言部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\xiaosi{\song{
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%以下为论文第二部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{\textbf{\xiaosi 数列空间和函数空间的定义}}
以下给出六种典型的数列空间和函数空间的定义，文字叙述和符号表示依照文献\cite{1}.\\
\begin{definition}[空间~$l^p$ $(p\geq 1)$] %%%%%%%%%%%%%%定义 1%%%%%%%%%%%
一切满足
~$(\sum\limits^{\infty}_{i=1}|\xi_i|^p)^{1/p}<+\infty$~ %注意命令 \limits
的数列~$x=(\xi_1,\xi_2,\cdots)$~的全体记为~$l^p$.\ 容易验证
$${\parallel x\parallel}_{p}=(\sum^{\infty}_{i=1}|\xi_i|^p)^{1/p}<+\infty$$ 是~$l^p$~上的范数.
\end{definition}
$\cdots$
%%%%%%%%%%%%%%%%%%%%%%%%以上为论文正文第二部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%以下为论文正文第三部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{\textbf{\song{\xiaosi 六类空间各自的性质}}}
{\subsection{\textbf{\song{\xiaosi{$l^p$和$L^p(\mathbf{E})$}}}}}
$l^p$~和~$L^p(\mathbf{E})$~都可分.
$\cdots$
%%%%%%%%%%%%%%%%%%%%%%%%%%%以上为论文正文第三部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%以下为论文正文第四部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\section{\textbf{\song{\xiaosi 六种空间之间的一些联系}}}}
{\subsection{\textbf{\song\xiaosi{函数空间与函数空间、数列空间与数列空间之间的联系}}}}
$\cdots$
{\subsection{\textbf{\song\xiaosi{函数空间与数列空间的联系}}}}
\begin{lemma}[~Riesz-Fiesher~定理] %%%%%%%%%%%%%%%%%%%%%% 引理 1 %%%%%%%%%%%%%%%%%%%%%%%%
设~$\{e_n\}$~是~Hilbert~空间~$\mathbf{H}$~中一就范正交系，$(c_1,c_2,\cdots)\in l^2$，则存在唯一的~$x\in H$~使~$(x,e_n)=e_n,\quad n=1,2,\cdots$~并且~$(x,x)=\sum\limits_{n=1}^\infty|c_n|^2$.\\
\end{lemma}
文献\cite{4}给出了~$1\leq p\leq 2$~时的~$L^p(\mathbf{E})$~上的~Fourier~变换的构造过程，并指出当
~$p>2$~时在广义函数的意义下~$L^p(\mathbf{E})$~仍可导入~Fourier~变换.\ 问题在于~$p\neq 2$~时~Fourier
~变换能否构成~$L^p(\mathbf{E})$~与~$l^p$~之间的保范同构.
\begin{property}\label{pro2} %%%%%%%%%%%%%%%%% 问题 2 %%%%%%%%%%%%%%%%%%%%%%%%
完备距离空间~$S(\mathbf{E})$~与~$s$，Banach~空间~$M(\mathbf{E})$~与~$m$~之间是否有同构关系？更进一步，~Fourier~变换及其反演公式
能否推广到完备距离空间~$S(\mathbf{E})$~与~$s$，Banach~空间~$M(\mathbf{E})$~ 与~$m$
\end{property}
%%%%%%%%%%%%%%%%%%%%%%%%%以上是论文正文的第四部分%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
}}}
%%%%%%%%%%%%%%%%%%%%%%%%%以下是参考文献%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\clearpage %双面打印(openright) 用\cleardoublepage
\addcontentsline{toc}{section}{\textbf{\xiaosi{参考文献}}}
\begin{thebibliography}{99}
{\song{\wuhao
\bibitem{1}那汤松.\ 实变函数论（第5版）.\ 徐瑞云 译.\ 北京：高等教育出版社，2010.
\bibitem{2}郭大钧等.\ 实变函数与泛函分析（第二版）$\cdot$ 下册.\ 山东：山东大学出版社，2005.
\bibitem{3}夏道行等.\ 实变函数论与泛函分析（下册$\cdot$ 第二版修订本）.\ 北京：高等教育出版社，2010.
\bibitem{4}A.H.柯尔莫戈洛夫，C.B.佛明.\ 函数论与泛函分析初步（第7 版）.\ 北京：高等教育出版社，2006.
}
}
\end{thebibliography}
\end{document}