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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
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    \song{
     \tableofcontents
    }
}
\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.}
    

    \song{依然范特西,依然爱你,叶惠美,晴天,我很忙}


    \kai{依然范特西,依然爱你,叶惠美,晴天,我很忙}


    \yahei{依然范特西,依然爱你,叶惠美,晴天,我很忙}

}
\end{document}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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\ProvidesPackage{zhfontcfg}  
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\documentclass{article}
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\usepackage{xunicode,xltxtra}  
\defaultfontfeatures{Mapping=tex-text} %如果没有它,会有一些 tex 特殊字符无法正常使用,比如连字符。  
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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
    }
}
\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}


    \kai{依然范特西,依然爱你,叶惠美,晴天,我很忙}


    \yahei{依然范特西,依然爱你,叶惠美,晴天,我很忙}


    \lishu{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
\documentclass[a4paper,11pt]{article}
\usepackage{xeCJK}
\usepackage{latexsym}
\usepackage{amsmath}                 % AMS LaTeX宏包
\usepackage{amssymb}                 % 用来排版漂亮的数学公式
\usepackage{amsbsy}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{mathrsfs}                % 英文花体字体
\usepackage{bm}                      % 数学公式中的黑斜体
\usepackage{relsize}                 % 调整公式字体大小:\mathsmaller, \mathlarger
%\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
\usepackage{titletoc}                % 控制目录
\titlecontents{section}[0pt]{\addvspace{2pt}\filright}
              {\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}
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\XeTeXlinebreaklocale "zh"
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\newfontfamily\tnroman{Times New Roman}
\newfontfamily\consol{Consolas}
\newfontfamily\li{LiSu}
\newcommand{\sanhao}{\fontsize{16pt}{24pt}\selectfont}      % 三号, 1.5倍行距
\newcommand{\sihao}{\fontsize{14pt}{21pt}\selectfont}       % 四号, 1.5倍行距
\newcommand{\xiaosi}{\fontsize{12pt}{18pt}\selectfont}      % 小四, 1.5倍行距
\newcommand{\wuhao}{\fontsize{10.5pt}{10.5pt}\selectfont}   % 五号, 单倍行距
\setCJKmainfont{SimSun}   % 设置默认中文字体
\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}
posted on 2012-09-24 22:06 lixiucheng 阅读(11007) 评论(0)  编辑 收藏 引用

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