VsCode下通过Latex运行计算机学报的模板
2024-06-04 21:02:36
文章目录
- 一、模板的下载
- 1.1 官方
- 1.2 overleaf
- 二、模板的文件
- 2.1 captionhack.sty
- 2.2 CjC_template_tex.tex
- 2.3 CjC.cls
- 2.4 llncs.cls
- 2.5 main
- 2.6 mtpro2.sty
- 2.7 picins.sty
- 2.8 tst.cls
- 2.9 yourphotofilename.jpg
- 三、编译运行
一、模板的下载
1.1 官方
计算机学报：http://cjc.ict.ac.cn/
下拉到下方：
问题：博主在使用VsCode下的Latex跑此模板，出现乱码，应该是编码问题，博主没有详细研究。
1.2 overleaf
此处使用的事overleaf上提供的模板，拷贝下来，存储为对应的文件，跑起来没有问题。（上面的问题，理解也可以通过此方式进行解决，在notepad++或Ttex打开没有问题的情况下，拷贝内容，存储为对应的文件，运行）
二、模板的文件
2.1 captionhack.sty
% change the look of the captions
\renewcommand{\fnum@figure}{{\zihao{-5}\textbf{Fig.~\thefigure}}}
\renewcommand{\fnum@table}{{\zihao{-5}\textbf{Table \thetable}}}
\let\ocaption\caption
\renewcommand{\caption}[2][]{\ocaption[#1]{{\zihao{-5}\textbf{#2}}}}
\renewcommand{\@makecaption}[2]{%
\vskip\abovecaptionskip%
\sbox\@tempboxa{#1\quad #2}%
\ifdim \wd\@tempboxa >\hsize
#1\quad #2\par%
\else
\global \@minipagefalse
\hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
\fi
\vskip\belowcaptionskip}
2.2 CjC_template_tex.tex
\NeedsTeXFormat{LaTeX2e}
\ProvidesClass{CjC}[2019/01/01 v0.1 CjC LaTeX Chinese template class] % Need to be changed with new release
\LoadClass[a4paper, 10.5pt,twocolumn,twoside,journal]{ctexart}
\RequirePackage{ifthen}
\usepackage{flushend}
\usepackage{graphicx}
%\usepackage{CJKutf8}
%\usepackage{CJK}
%\usepackage[lite,subscriptcorrection,slantedGreek,nofontinfo]{mtpro2}
\usepackage{times}%
\RequirePackage{picins}
\RequirePackage{ccaption}
\RequirePackage{calc}
%%--------PAGE FORMAT---------%%
\setlength{\topmargin}{28pt}
\setlength{\headsep}{13pt}
\setlength{\headheight}{6mm}
\setlength{\oddsidemargin}{-7mm}
\setlength{\evensidemargin}{-7mm}
\setlength{\voffset}{-0.40in}
\setlength{\hoffset}{0mm}
\setlength{\footskip}{3.5em}
\setlength{\columnsep}{8mm} %
\textwidth \paperwidth%
\textheight \paperheight%
\addtolength\textwidth{-38mm}
\addtolength\textheight{-62mm}
% extra vertical space between paragraphs normally
\setlength{\parskip}{0mm}
% extra vertical space between paragraphs within a list item
%\setlength{\parsep}{0mm}%%
\setlength{\abovedisplayskip}{2pt plus 1pt minus 1pt}
\setlength{\belowdisplayskip}{3pt plus 2pt minus 2pt}\setlength{\doublerulesep}{0.5pt}%%
\renewcommand{\baselinestretch}{1.14}
\renewcommand{\arraystretch}{1.06}
%
%
\newlength\CjC@linespace
\newcommand{\CjC@choosefont}[3]{%\setlength{\CjC@linespace}{#1*\real{\baselinestretch}}%\fontsize{#1}{\CjC@linespace plus#2 minus #3}\selectfont}
%
% 1 in = 72 bp = 72.27 pt\renewcommand\zihao[1]{%\ifthenelse{\equal{#1}{0}}{%\CjC@choosefont{42bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{0-}}{%\CjC@choosefont{36bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{1}}{%\CjC@choosefont{26bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{1-}}{%\CjC@choosefont{24bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{2}}{%\CjC@choosefont{22bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{2-}}{%\CjC@choosefont{18bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{3}}{%\CjC@choosefont{16bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{3-}}{%\CjC@choosefont{15bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{4}}{%\CjC@choosefont{14bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{4-}}{%\CjC@choosefont{12bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5}}{%\CjC@choosefont{10.5bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5--}}{%\CjC@choosefont{10bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5-}}{%\CjC@choosefont{9bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{6}}{%\CjC@choosefont{7.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{6-}}{%\CjC@choosefont{6.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{7}}{%\CjC@choosefont{5.5bp}{.1pt}{.1pt}}{}%\ifthenelse{\equal{#1}{8}}{%\CjC@choosefont{5bp}{.1pt}{.1pt}}{}}
%
%%----- Redefine \tiny \scriptsize \footnotesize\small ----------%%
%%-------------------------\normalsize --------------------------%%
%%---------------\large \Large \LARGE \huge \Huge ---------------%%
%% Refer to ctex
\def\tiny{\zihao{7-}}
\def\scriptsize{\zihao{7}}
\def\footnotesize{\zihao{6-}}
\def\small{\zihao{6}}
\def\normalsize{\zihao{5}}%
\def\large{\zihao{4-}}%
\def\Large{\zihao{4}}%
\def\LARGE{\zihao{3}}%
\def\huge{\zihao{2-}}%
\def\Huge{\zihao{1-}}%
\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}}
\def\@IEEEproof[#1]{\par\noindent\hspace{1em}{\textbf #1{\quad}}}
\def\endIEEEproof{\hspace*{\fill}~$\blacksquare$\par}
\def\IEEEproofname{Proof}
\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}\normalsize %make \baselinestretch take affect
%\renewcommand{\@biblabel}[1]{#1}
\let\@afterindentfalse\@afterindenttrue\@afterindenttrue
\def\@cite#1#2{\textsuperscript{[{#1\if@tempswa, #2\fi}]}}
\setlength{\footnotesep}{0pt}
\def\footnoterule{\kern-10\p@ \hrule width .4\columnwidth height 0.4pt \kern 6.6\p@}
%
%%-------- maketitle --------%%
%
%
%\renewcommand{\title}[1]{\gdef\CjC@title{{\huge\bf #1}}}
%\renewcommand{\author}[1]{\gdef\CjC@author{{\normalsize #1}}}
%\renewcommand{\address}[1]{\gdef\CjC@address{{\footnotesize \it #1}}}
%\newcommand{\email}[1]{\gdef\CjC@email{{\centering\footnotesize (E-mail: #1)}}}
%\renewcommand{\abstract}[1]{\gdef\CjC@abstract{{\noindent\small {\bf Abstract}\quad #1}}}
%\newcommand{\keyword}[1]{\gdef\CjC@keyword{{\noindent\small {\bf Key words}\quad #1}}}
%\newcommand{\doi}[1]{\gdef\CjC@doi{{\noindent\small {\bf DOI}\quad #1}}}
%
%
\renewcommand{\maketitle}{\par
\begingroup
\def\thefootnote{}% the \thanks{} mark type is empty
\def\footnotemark{}% and kill space from \thanks within author
\def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%
\long\def\@makefntext##1{\parindent 1em\noindent
\hb@xt@0.5em{%
\hss\@textsuperscript{\normalfont\@thefnmark}}##1}%
\twocolumn[\@maketitle]%
\thispagestyle{CjC@firstfootings}%ssl
\@thanks%
\endgroup%
\setcounter{footnote}{0}%
\global\let\thanks\relax%
\global\let\maketitle\relax%
\global\let\@maketitle\relax%
\global\let\@thanks\@empty%
\global\let\@author\@empty%
\global\let\@title\@empty%
\global\let\title\relax%
\global\let\author\relax%
\global\let\and\relax%
%
\global\let\cncl\relax%
\global\let\email\relax%
%
\global\let\CjC@title\relax%
\global\let\CjC@author\relax%
\global\let\CjC@address\relax%
\global\let\CjC@abstract\relax%
\global\let\CjC@keyword\relax%
\global\let\CjC@doi\relax%
%
\global\let\title\relax%
\global\let\author\relax%
\global\let\address\relax%
\global\let\abstract\relax%
\global\let\keyword\relax%
\global\let\doi\relax%
}
%
\def\@maketitle{%\let\footnote\thanks%\newpage\null% an empty hbox\vskip 1.2\baselineskip%{\centering%{\CjC@title\par}%{%\vskip 1.2em%\vskip 0.8\baselineskip%\begin{tabular}[t]{c}%\CjC@author%\end{tabular}%\vskip 0.3em%\par%}%\vskip 0.2\baselineskip}%{\linespread{1.0}\selectfont\CjC@abstract\par%\vskip 0.2\baselineskip%\CjC@keyword\par%\vskip 0.2\baselineskip%\CjC@doi\par}%\vskip 1.5\baselineskip%
}
%
\renewcommand{\refname}{\centering \normalsize\bf ~\\[-7mm]}
%
\newenvironment{acknowledgement}{\vspace*{10pt}{\noindent\zihao{4}\bfseries Acknowledgements\par}\vspace*{10pt}\begingroup
}{\par\endgroup
}
%
%%---------------- Define biography ----------------%%
\newenvironment{biography}[1][]{\vskip 0.4\baselineskip%\zihao{5-}\parpic{%\includegraphics[height=3.3cm,width=2.5cm]{#1}}%
}{\vskip 0.4\baselineskip\par}%% For author who has no photo
\newenvironment{biographynophoto}{\vskip 0.4\baselineskip\zihao{5-}}{\vskip 0.4\baselineskip\par}%%---------------- Redefine section -----------------%%
\setcounter{secnumdepth}{3}\renewcommand\thesection {\@arabic\c@section}
\renewcommand\thesubsection {\thesection.\@arabic\c@subsection}
\renewcommand\thesubsubsection{\thesubsection .\@arabic\c@subsubsection}\renewcommand\section{\@startsection {section}{1}{\z@}%{-1.5ex \@plus -.2ex \@minus -.2ex}%{1.5ex \@plus.2ex}%{\zihao{4-}\bfseries }}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%{-1.0ex \@plus -.2ex \@minus -.2ex}%{1.0ex \@plus .2ex}%{\zihao{5}\bfseries}}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%{-0.5ex \@plus -.0ex \@minus -.2ex}%{0.5ex \@plus .0ex}%{\zihao{5}}}
\renewcommand*\l@section[2]{%\ifnum \c@tocdepth >\z@\addpenalty\@secpenalty\addvspace{1.0em \@plus\p@}%\setlength\@tempdima{1.5em}%\begingroup\parindent \z@ \rightskip \@pnumwidth\parfillskip -\@pnumwidth\leavevmode \bfseries\advance\leftskip\@tempdima\hskip -\leftskip#1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par\endgroup\fi}
%\newcommand{\firstheadname}[1]{\gdef\CjC@firstheadname{\zihao{5-} #1}}
\newcommand{\firstfootname}[1]{\gdef\CjC@firstfootname{\zihao{5-}}{#1}}
\newcommand{\headevenname}[1]{\gdef\CjC@headevenname{\zihao{5-} #1}}
\newcommand{\headoddname}[1]{\gdef\CjC@headoddname{\zihao{5-} #1}}%%------------------CjC@firstheadings begin------------------------------------%%
\def\ps@CjC@firstheadings{\let\@evenhead\@empty\let\@evenfoot\@empty\let\@oddhead\@empty\let\@oddfoot\@empty\def\@evenhead{%\vbox{%\vskip 3.2mm%\hbox to \textwidth{{\zihao{5-} \hbox{\CjC@firstheadname} \hfill }}%\vskip 2.0mm%% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%}%}\def\@evenfoot{\hbox{\CjC@firstfootname}}\let\@oddhead\@evenhead%\let\@oddfoot\@evenfoot%
}
%%-----------------CjC@firstheadings end--------------------------------------%%
%%-------------------CjCheadings begin----------------------------------------%%
\def\ps@CjCheadings{\let\@evenhead\@empty\let\@evenfoot\@empty\let\@oddhead\@empty\let\@oddfoot\@empty\def\@evenhead{%\vbox{%\vskip 1mm%\hbox to \textwidth {\mbox{\hspace {2mm}} {\zihao{5-} \thepage} \hfill \hbox{\CjC@headevenname \hfill {\zihao{5-} \mbox{\hspace {2mm}}}}}%\vskip 2.0mm%\hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%}%}\def\@oddhead{%\vbox{%\vskip 1mm%\hbox to \textwidth {{\zihao{5-} \mbox{\hspace {0mm}} \CjC@headoddname} \hfill {{\zihao{5-} \thepage} \mbox{\hspace {2mm}}}}%\vskip 2.0mm%\hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%}}%
}
%---------------------headings end------------------------------------------%%%%------------------CjC@firstheadings begin------------------------------------%%P1
%\def\ps@CjC@firstheadings{% \let\@evenhead\@empty
% \let\@evenfoot\@empty
% \let\@oddhead\@empty
% \let\@oddfoot\@empty
% \def\@ovenhead{%\hbox to 17cm {\CjC@firstheadname}}
% \def\@oddhead{%\hbox to 17cm {\CjC@firstheadname}}
%}
%%-----------------CjC@firstheadings end--------------------------------------%%
%%------------------CjC@firstfootings begin------------------------------------%%P1
%\def\ps@CjC@firstfootings{% \let\@evenhead\@empty\let\@evenfoot\@empty
% \let\@oddhead\@empty\let\@oddfoot\@empty
% \def\@evenfoot{%
% \vbox{%
% \vskip 3.2mm%
% \hbox to \textwidth{{\zihao{5-} \hbox{\CjC@firstfootname} \hfill }}%
% \vskip 2.0mm%
%% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%
% }%
% }
% \def\@oddfoot{%
% \vbox{%
% \vskip 3.2mm%
% \hbox to \textwidth{{\zihao{5-} \hbox{\CjC@firstfootname} \hfill }}%
% \vskip 2.0mm%
%% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%
% }%
% }
% \def\@evenfoot{% \hbox{\CjC@firstfootname}
% }
% \let\@oddhead\@evenhead%
% \let\@oddfoot\@evenfoot%
% }
%%-----------------CjC@firstfootings end--------------------------------------%%
%%-------------------CjCheadings begin----------------------------------------%%
%\def\ps@CjCheadings{% \let\@evenhead\@empty
% \let\@evenfoot\@empty
% \let\@oddhead\@empty
% \let\@oddfoot\@empty
% \def\@evenhead{%
% \vbox{%
% \vskip -20mm%
% \hbox to \textwidth {\mbox{\hspace{2mm}}{\zihao{5-}\thepage}
% \hfill \hbox{\CjC@headevenname}\hfill{\zihao{5-}\mbox{{\begin{CJK*}{GBK}{song}Year\end{CJK*}\hspace {2.5mm}}}}%
%\vskip 2.0mm%
%\hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%
% }}
% }
% \def\@oddhead{%
% \vbox{%
% \vskip -40mm%
% \hbox to \textwidth {{\zihao{5-}\mbox{\hspace {2mm}}{\begin{CJK*}{GBK}{song}No.\end{CJK*}
%\hfill \CjC@headoddname \hfill {\thepage} \mbox{\hspace {2mm}}}}
% \vskip 2.0mm%
% \hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}}
% }
%}
%}
%---------------------headings end------------------------------------------%%
%
%%-------- Set the begin and end method for class -----%%
\AtBeginDocument{%\flushend\captiondelim{ } %\captionnamefont{\small}%\captiontitlefont{\small}%
}
\AtEndDocument{\clearpage}
\endinput
%%-------- The end of CjC.cls -------------%%2.3 CjC.cls
\NeedsTeXFormat{LaTeX2e}
\ProvidesClass{CjC}[2019/01/01 v0.1 CjC LaTeX Chinese template class] % Need to be changed with new release
\LoadClass[a4paper, 10.5pt,twocolumn,twoside,journal]{ctexart}
\RequirePackage{ifthen}
\usepackage{flushend}
\usepackage{graphicx}
%\usepackage{CJKutf8}
%\usepackage{CJK}
%\usepackage[lite,subscriptcorrection,slantedGreek,nofontinfo]{mtpro2}
\usepackage{times}%
\RequirePackage{picins}
\RequirePackage{ccaption}
\RequirePackage{calc}
%%--------PAGE FORMAT---------%%
\setlength{\topmargin}{28pt}
\setlength{\headsep}{13pt}
\setlength{\headheight}{6mm}
\setlength{\oddsidemargin}{-7mm}
\setlength{\evensidemargin}{-7mm}
\setlength{\voffset}{-0.40in}
\setlength{\hoffset}{0mm}
\setlength{\footskip}{3.5em}
\setlength{\columnsep}{8mm} %
\textwidth \paperwidth%
\textheight \paperheight%
\addtolength\textwidth{-38mm}
\addtolength\textheight{-62mm}
% extra vertical space between paragraphs normally
\setlength{\parskip}{0mm}
% extra vertical space between paragraphs within a list item
%\setlength{\parsep}{0mm}%%
\setlength{\abovedisplayskip}{2pt plus 1pt minus 1pt}
\setlength{\belowdisplayskip}{3pt plus 2pt minus 2pt}\setlength{\doublerulesep}{0.5pt}%%
\renewcommand{\baselinestretch}{1.14}
\renewcommand{\arraystretch}{1.06}
%
%
\newlength\CjC@linespace
\newcommand{\CjC@choosefont}[3]{%\setlength{\CjC@linespace}{#1*\real{\baselinestretch}}%\fontsize{#1}{\CjC@linespace plus#2 minus #3}\selectfont}
%
% 1 in = 72 bp = 72.27 pt\renewcommand\zihao[1]{%\ifthenelse{\equal{#1}{0}}{%\CjC@choosefont{42bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{0-}}{%\CjC@choosefont{36bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{1}}{%\CjC@choosefont{26bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{1-}}{%\CjC@choosefont{24bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{2}}{%\CjC@choosefont{22bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{2-}}{%\CjC@choosefont{18bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{3}}{%\CjC@choosefont{16bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{3-}}{%\CjC@choosefont{15bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{4}}{%\CjC@choosefont{14bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{4-}}{%\CjC@choosefont{12bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5}}{%\CjC@choosefont{10.5bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5--}}{%\CjC@choosefont{10bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5-}}{%\CjC@choosefont{9bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{6}}{%\CjC@choosefont{7.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{6-}}{%\CjC@choosefont{6.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{7}}{%\CjC@choosefont{5.5bp}{.1pt}{.1pt}}{}%\ifthenelse{\equal{#1}{8}}{%\CjC@choosefont{5bp}{.1pt}{.1pt}}{}}
%
%%----- Redefine \tiny \scriptsize \footnotesize\small ----------%%
%%-------------------------\normalsize --------------------------%%
%%---------------\large \Large \LARGE \huge \Huge ---------------%%
%% Refer to ctex
\def\tiny{\zihao{7-}}
\def\scriptsize{\zihao{7}}
\def\footnotesize{\zihao{6-}}
\def\small{\zihao{6}}
\def\normalsize{\zihao{5}}%
\def\large{\zihao{4-}}%
\def\Large{\zihao{4}}%
\def\LARGE{\zihao{3}}%
\def\huge{\zihao{2-}}%
\def\Huge{\zihao{1-}}%
\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}}
\def\@IEEEproof[#1]{\par\noindent\hspace{1em}{\textbf #1{\quad}}}
\def\endIEEEproof{\hspace*{\fill}~$\blacksquare$\par}
\def\IEEEproofname{Proof}
\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}\normalsize %make \baselinestretch take affect
%\renewcommand{\@biblabel}[1]{#1}
\let\@afterindentfalse\@afterindenttrue\@afterindenttrue
\def\@cite#1#2{\textsuperscript{[{#1\if@tempswa, #2\fi}]}}
\setlength{\footnotesep}{0pt}
\def\footnoterule{\kern-10\p@ \hrule width .4\columnwidth height 0.4pt \kern 6.6\p@}
%
%%-------- maketitle --------%%
%
%
%\renewcommand{\title}[1]{\gdef\CjC@title{{\huge\bf #1}}}
%\renewcommand{\author}[1]{\gdef\CjC@author{{\normalsize #1}}}
%\renewcommand{\address}[1]{\gdef\CjC@address{{\footnotesize \it #1}}}
%\newcommand{\email}[1]{\gdef\CjC@email{{\centering\footnotesize (E-mail: #1)}}}
%\renewcommand{\abstract}[1]{\gdef\CjC@abstract{{\noindent\small {\bf Abstract}\quad #1}}}
%\newcommand{\keyword}[1]{\gdef\CjC@keyword{{\noindent\small {\bf Key words}\quad #1}}}
%\newcommand{\doi}[1]{\gdef\CjC@doi{{\noindent\small {\bf DOI}\quad #1}}}
%
%
\renewcommand{\maketitle}{\par\begingroup\def\thefootnote{}% the \thanks{} mark type is empty\def\footnotemark{}% and kill space from \thanks within author\def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%\long\def\@makefntext##1{\parindent 1em\noindent\hb@xt@0.5em{%\hss\@textsuperscript{\normalfont\@thefnmark}}##1}%\twocolumn[\@maketitle]%\thispagestyle{CjC@firstfootings}%ssl\@thanks%\endgroup%\setcounter{footnote}{0}%\global\let\thanks\relax%\global\let\maketitle\relax%\global\let\@maketitle\relax%\global\let\@thanks\@empty%\global\let\@author\@empty%\global\let\@title\@empty%\global\let\title\relax%\global\let\author\relax%\global\let\and\relax%
%\global\let\cncl\relax%\global\let\email\relax%
%\global\let\CjC@title\relax%\global\let\CjC@author\relax%\global\let\CjC@address\relax%\global\let\CjC@abstract\relax%\global\let\CjC@keyword\relax%\global\let\CjC@doi\relax%
%\global\let\title\relax%\global\let\author\relax%\global\let\address\relax%\global\let\abstract\relax%\global\let\keyword\relax%\global\let\doi\relax%
}
%
\def\@maketitle{%\let\footnote\thanks%\newpage\null% an empty hbox\vskip 1.2\baselineskip%{\centering%{\CjC@title\par}%{%\vskip 1.2em%\vskip 0.8\baselineskip%\begin{tabular}[t]{c}%\CjC@author%\end{tabular}%\vskip 0.3em%\par%}%\vskip 0.2\baselineskip}%{\linespread{1.0}\selectfont\CjC@abstract\par%\vskip 0.2\baselineskip%\CjC@keyword\par%\vskip 0.2\baselineskip%\CjC@doi\par}%\vskip 1.5\baselineskip%
}
%
\renewcommand{\refname}{\centering \normalsize\bf ~\\[-7mm]}
%
\newenvironment{acknowledgement}{\vspace*{10pt}{\noindent\zihao{4}\bfseries Acknowledgements\par}\vspace*{10pt}\begingroup}{\par\endgroup
}
%
%%---------------- Define biography ----------------%%
\newenvironment{biography}[1][]{\vskip 0.4\baselineskip%
\zihao{5-}
\parpic{%
\includegraphics[height=3.3cm,width=2.5cm]{#1}}%
}{\vskip 0.4\baselineskip\par}%% For author who has no photo
\newenvironment{biographynophoto}{\vskip 0.4\baselineskip\zihao{5-}}{\vskip 0.4\baselineskip\par}%%---------------- Redefine section -----------------%%
\setcounter{secnumdepth}{3}\renewcommand\thesection {\@arabic\c@section}
\renewcommand\thesubsection {\thesection.\@arabic\c@subsection}
\renewcommand\thesubsubsection{\thesubsection .\@arabic\c@subsubsection}\renewcommand\section{\@startsection {section}{1}{\z@}%{-1.5ex \@plus -.2ex \@minus -.2ex}%{1.5ex \@plus.2ex}%{\zihao{4-}\bfseries }}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%{-1.0ex \@plus -.2ex \@minus -.2ex}%{1.0ex \@plus .2ex}%{\zihao{5}\bfseries}}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%{-0.5ex \@plus -.0ex \@minus -.2ex}%{0.5ex \@plus .0ex}%{\zihao{5}}}
\renewcommand*\l@section[2]{%\ifnum \c@tocdepth >\z@\addpenalty\@secpenalty\addvspace{1.0em \@plus\p@}%\setlength\@tempdima{1.5em}%\begingroup\parindent \z@ \rightskip \@pnumwidth\parfillskip -\@pnumwidth\leavevmode \bfseries\advance\leftskip\@tempdima\hskip -\leftskip#1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par\endgroup\fi}
%\newcommand{\firstheadname}[1]{\gdef\CjC@firstheadname{\zihao{5-} #1}}
\newcommand{\firstfootname}[1]{\gdef\CjC@firstfootname{\zihao{5-}}{#1}}
\newcommand{\headevenname}[1]{\gdef\CjC@headevenname{\zihao{5-} #1}}
\newcommand{\headoddname}[1]{\gdef\CjC@headoddname{\zihao{5-} #1}}%%------------------CjC@firstheadings begin------------------------------------%%
\def\ps@CjC@firstheadings{\let\@evenhead\@empty\let\@evenfoot\@empty\let\@oddhead\@empty\let\@oddfoot\@empty\def\@evenhead{%\vbox{%\vskip 3.2mm%\hbox to \textwidth{{\zihao{5-} \hbox{\CjC@firstheadname} \hfill }}%\vskip 2.0mm%
% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%}%}\def\@evenfoot{\hbox{\CjC@firstfootname}}\let\@oddhead\@evenhead%\let\@oddfoot\@evenfoot%
}
%%-----------------CjC@firstheadings end--------------------------------------%%
%%-------------------CjCheadings begin----------------------------------------%%
\def\ps@CjCheadings{\let\@evenhead\@empty\let\@evenfoot\@empty\let\@oddhead\@empty\let\@oddfoot\@empty\def\@evenhead{%\vbox{%\vskip 1mm%\hbox to \textwidth {\mbox{\hspace {2mm}} {\zihao{5-} \thepage} \hfill \hbox{\CjC@headevenname \hfill {\zihao{5-} \mbox{\hspace {2mm}}}}}%\vskip 2.0mm%\hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%}%}\def\@oddhead{%\vbox{%\vskip 1mm%\hbox to \textwidth {{\zihao{5-} \mbox{\hspace {0mm}} \CjC@headoddname} \hfill {{\zihao{5-} \thepage} \mbox{\hspace {2mm}}}}%\vskip 2.0mm%\hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%}}%
}
%---------------------headings end------------------------------------------%%%%------------------CjC@firstheadings begin------------------------------------%%P1
%\def\ps@CjC@firstheadings{% \let\@evenhead\@empty
% \let\@evenfoot\@empty
% \let\@oddhead\@empty
% \let\@oddfoot\@empty
% \def\@ovenhead{%\hbox to 17cm {\CjC@firstheadname}}
% \def\@oddhead{%\hbox to 17cm {\CjC@firstheadname}}
%}
%%-----------------CjC@firstheadings end--------------------------------------%%
%%------------------CjC@firstfootings begin------------------------------------%%P1
%\def\ps@CjC@firstfootings{% \let\@evenhead\@empty\let\@evenfoot\@empty
% \let\@oddhead\@empty\let\@oddfoot\@empty
% \def\@evenfoot{%
% \vbox{%
% \vskip 3.2mm%
% \hbox to \textwidth{{\zihao{5-} \hbox{\CjC@firstfootname} \hfill }}%
% \vskip 2.0mm%
%% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%
% }%
% }
% \def\@oddfoot{%
% \vbox{%
% \vskip 3.2mm%
% \hbox to \textwidth{{\zihao{5-} \hbox{\CjC@firstfootname} \hfill }}%
% \vskip 2.0mm%
%% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%
% }%
% }
% \def\@evenfoot{% \hbox{\CjC@firstfootname}
% }
% \let\@oddhead\@evenhead%
% \let\@oddfoot\@evenfoot%
% }
%%-----------------CjC@firstfootings end--------------------------------------%%
%%-------------------CjCheadings begin----------------------------------------%%
%\def\ps@CjCheadings{% \let\@evenhead\@empty
% \let\@evenfoot\@empty
% \let\@oddhead\@empty
% \let\@oddfoot\@empty
% \def\@evenhead{%
% \vbox{%
% \vskip -20mm%
% \hbox to \textwidth {\mbox{\hspace{2mm}}{\zihao{5-}\thepage}
% \hfill \hbox{\CjC@headevenname}\hfill{\zihao{5-}\mbox{{\begin{CJK*}{GBK}{song}Year\end{CJK*}\hspace {2.5mm}}}}%
%\vskip 2.0mm%
%\hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%
% }}
% }
% \def\@oddhead{%
% \vbox{%
% \vskip -40mm%
% \hbox to \textwidth {{\zihao{5-}\mbox{\hspace {2mm}}{\begin{CJK*}{GBK}{song}No.\end{CJK*}
%\hfill \CjC@headoddname \hfill {\thepage} \mbox{\hspace {2mm}}}}
% \vskip 2.0mm%
% \hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}}
% }
%}
%}
%---------------------headings end------------------------------------------%%
%
%%-------- Set the begin and end method for class -----%%
\AtBeginDocument{%\flushend\captiondelim{ } %\captionnamefont{\small}%\captiontitlefont{\small}%}
\AtEndDocument{\clearpage}
\endinput
%%-------- The end of CjC.cls -------------%%2.4 llncs.cls
% LLNCS DOCUMENT CLASS -- version 2.17 (12-Jul-2010)
% Springer Verlag LaTeX2e support for Lecture Notes in Computer Science
%
%%
%% \CharacterTable
%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%% Digits \0\1\2\3\4\5\6\7\8\9
%% Exclamation \! Double quote \" Hash (number) \#
%% Dollar \$ Percent \% Ampersand \&
%% Acute accent \' Left paren \( Right paren \)
%% Asterisk \* Plus \+ Comma \,
%% Minus \- Point \. Solidus \/
%% Colon \: Semicolon \; Less than \<
%% Equals \= Greater than \> Question mark \?
%% Commercial at \@ Left bracket \[ Backslash \\
%% Right bracket \] Circumflex \^ Underscore \_
%% Grave accent \` Left brace \{ Vertical bar \|
%% Right brace \} Tilde \~}
%%
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesClass{llncs}[2010/07/12 v2.17
^^J LaTeX document class for Lecture Notes in Computer Science]
% Options
\let\if@envcntreset\iffalse
\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}
\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y}
\DeclareOption{oribibl}{\let\oribibl=Y}
\let\if@custvec\iftrue
\DeclareOption{orivec}{\let\if@custvec\iffalse}
\let\if@envcntsame\iffalse
\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}
\let\if@envcntsect\iffalse
\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}
\let\if@runhead\iffalse
\DeclareOption{runningheads}{\let\if@runhead\iftrue}\let\if@openright\iftrue
\let\if@openbib\iffalse
\DeclareOption{openbib}{\let\if@openbib\iftrue}% languages
\let\switcht@@therlang\relax
\def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}}
\def\ds@francais{\def\switcht@@therlang{\switcht@francais}}\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}\ProcessOptions\LoadClass[twoside]{article}
\RequirePackage{multicol} % needed for the list of participants, index
\RequirePackage{aliascnt}\setlength{\textwidth}{12.2cm}
\setlength{\textheight}{19.3cm}
\renewcommand\@pnumwidth{2em}
\renewcommand\@tocrmarg{3.5em}
%
\def\@dottedtocline#1#2#3#4#5{%\ifnum #1>\c@tocdepth \else\vskip \z@ \@plus.2\p@{\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm\parfillskip -\rightskip \pretolerance=10000\parindent #2\relax\@afterindenttrue\interlinepenalty\@M\leavevmode\@tempdima #3\relax\advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip{#4}\nobreak\leaders\hbox{$\m@th\mkern \@dotsep mu\hbox{.}\mkern \@dotsepmu$}\hfill\nobreak\hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}%\par}%\fi}
%
\def\switcht@albion{%
\def\abstractname{Abstract.}
\def\ackname{Acknowledgement.}
\def\andname{and}
\def\lastandname{\unskip, and}
\def\appendixname{Appendix}
\def\chaptername{Chapter}
\def\claimname{Claim}
\def\conjecturename{Conjecture}
\def\contentsname{Table of Contents}
\def\corollaryname{Corollary}
\def\definitionname{Definition}
\def\examplename{Example}
\def\exercisename{Exercise}
\def\figurename{Fig.}
\def\keywordname{{\bf Keywords:}}
\def\indexname{Index}
\def\lemmaname{Lemma}
\def\contriblistname{List of Contributors}
\def\listfigurename{List of Figures}
\def\listtablename{List of Tables}
\def\mailname{{\it Correspondence to\/}:}
\def\noteaddname{Note added in proof}
\def\notename{Note}
\def\partname{Part}
\def\problemname{Problem}
\def\proofname{Proof}
\def\propertyname{Property}
\def\propositionname{Proposition}
\def\questionname{Question}
\def\remarkname{Remark}
\def\seename{see}
\def\solutionname{Solution}
\def\subclassname{{\it Subject Classifications\/}:}
\def\tablename{Table}
\def\theoremname{Theorem}}
\switcht@albion
% Names of theorem like environments are already defined
% but must be translated if another language is chosen
%
% French section
\def\switcht@francais{%\typeout{On parle francais.}%\def\abstractname{R\'esum\'e.}%\def\ackname{Remerciements.}%\def\andname{et}%\def\lastandname{ et}%\def\appendixname{Appendice}\def\chaptername{Chapitre}%\def\claimname{Pr\'etention}%\def\conjecturename{Hypoth\`ese}%\def\contentsname{Table des mati\`eres}%\def\corollaryname{Corollaire}%\def\definitionname{D\'efinition}%\def\examplename{Exemple}%\def\exercisename{Exercice}%\def\figurename{Fig.}%\def\keywordname{{\bf Mots-cl\'e:}}\def\indexname{Index}\def\lemmaname{Lemme}%\def\contriblistname{Liste des contributeurs}\def\listfigurename{Liste des figures}%\def\listtablename{Liste des tables}%\def\mailname{{\it Correspondence to\/}:}\def\noteaddname{Note ajout\'ee \`a l'\'epreuve}%\def\notename{Remarque}%\def\partname{Partie}%\def\problemname{Probl\`eme}%\def\proofname{Preuve}%\def\propertyname{Caract\'eristique}%
%\def\propositionname{Proposition}%\def\questionname{Question}%\def\remarkname{Remarque}%\def\seename{voir}\def\solutionname{Solution}%\def\subclassname{{\it Subject Classifications\/}:}\def\tablename{Tableau}%\def\theoremname{Th\'eor\`eme}%
}
%
% German section
\def\switcht@deutsch{%\typeout{Man spricht deutsch.}%\def\abstractname{Zusammenfassung.}%\def\ackname{Danksagung.}%\def\andname{und}%\def\lastandname{ und}%\def\appendixname{Anhang}%\def\chaptername{Kapitel}%\def\claimname{Behauptung}%\def\conjecturename{Hypothese}%\def\contentsname{Inhaltsverzeichnis}%\def\corollaryname{Korollar}%
%\def\definitionname{Definition}%\def\examplename{Beispiel}%\def\exercisename{\"Ubung}%\def\figurename{Abb.}%\def\keywordname{{\bf Schl\"usselw\"orter:}}\def\indexname{Index}
%\def\lemmaname{Lemma}%\def\contriblistname{Mitarbeiter}\def\listfigurename{Abbildungsverzeichnis}%\def\listtablename{Tabellenverzeichnis}%\def\mailname{{\it Correspondence to\/}:}\def\noteaddname{Nachtrag}%\def\notename{Anmerkung}%\def\partname{Teil}%
%\def\problemname{Problem}%\def\proofname{Beweis}%\def\propertyname{Eigenschaft}%
%\def\propositionname{Proposition}%\def\questionname{Frage}%\def\remarkname{Anmerkung}%\def\seename{siehe}\def\solutionname{L\"osung}%\def\subclassname{{\it Subject Classifications\/}:}\def\tablename{Tabelle}%
%\def\theoremname{Theorem}%
}% Ragged bottom for the actual page
\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil
\global\let\@textbottom\relax}}\renewcommand\small{%\@setfontsize\small\@ixpt{11}%\abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@\abovedisplayshortskip \z@ \@plus2\p@\belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@\def\@listi{\leftmargin\leftmargini\parsep 0\p@ \@plus1\p@ \@minus\p@\topsep 8\p@ \@plus2\p@ \@minus4\p@\itemsep0\p@}%\belowdisplayskip \abovedisplayskip
}\frenchspacing
\widowpenalty=10000
\clubpenalty=10000\setlength\oddsidemargin {63\p@}
\setlength\evensidemargin {63\p@}
\setlength\marginparwidth {90\p@}\setlength\headsep {16\p@}\setlength\footnotesep{7.7\p@}
\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@}
\setlength\intextsep {8mm\@plus 2\p@ \@minus 2\p@}\setcounter{secnumdepth}{2}\newcounter {chapter}
\renewcommand\thechapter {\@arabic\c@chapter}\newif\if@mainmatter \@mainmattertrue
\newcommand\frontmatter{\cleardoublepage\@mainmatterfalse\pagenumbering{Roman}}
\newcommand\mainmatter{\cleardoublepage\@mainmattertrue\pagenumbering{arabic}}
\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi\@mainmatterfalse}\renewcommand\part{\cleardoublepage\thispagestyle{empty}%\if@twocolumn\onecolumn\@tempswatrue\else\@tempswafalse\fi\null\vfil\secdef\@part\@spart}\def\@part[#1]#2{%\ifnum \c@secnumdepth >-2\relax\refstepcounter{part}%\addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%\else\addcontentsline{toc}{part}{#1}%\fi\markboth{}{}%{\centering\interlinepenalty \@M\normalfont\ifnum \c@secnumdepth >-2\relax\huge\bfseries \partname~\thepart\par\vskip 20\p@\fi\Huge \bfseries #2\par}%\@endpart}
\def\@spart#1{%{\centering\interlinepenalty \@M\normalfont\Huge \bfseries #1\par}%\@endpart}
\def\@endpart{\vfil\newpage\if@twoside\null\thispagestyle{empty}%\newpage\fi\if@tempswa\twocolumn\fi}\newcommand\chapter{\clearpage\thispagestyle{empty}%\global\@topnum\z@\@afterindentfalse\secdef\@chapter\@schapter}
\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne\if@mainmatter\refstepcounter{chapter}%\typeout{\@chapapp\space\thechapter.}%\addcontentsline{toc}{chapter}%{\protect\numberline{\thechapter}#1}%\else\addcontentsline{toc}{chapter}{#1}%\fi\else\addcontentsline{toc}{chapter}{#1}%\fi\chaptermark{#1}%\addtocontents{lof}{\protect\addvspace{10\p@}}%\addtocontents{lot}{\protect\addvspace{10\p@}}%\if@twocolumn\@topnewpage[\@makechapterhead{#2}]%\else\@makechapterhead{#2}%\@afterheading\fi}
\def\@makechapterhead#1{%
% \vspace*{50\p@}%{\centering\ifnum \c@secnumdepth >\m@ne\if@mainmatter\large\bfseries \@chapapp{} \thechapter\par\nobreak\vskip 20\p@\fi\fi\interlinepenalty\@M\Large \bfseries #1\par\nobreak\vskip 40\p@}}
\def\@schapter#1{\if@twocolumn\@topnewpage[\@makeschapterhead{#1}]%\else\@makeschapterhead{#1}%\@afterheading\fi}
\def\@makeschapterhead#1{%
% \vspace*{50\p@}%{\centering\normalfont\interlinepenalty\@M\Large \bfseries #1\par\nobreak\vskip 40\p@}}\renewcommand\section{\@startsection{section}{1}{\z@}%{-18\p@ \@plus -4\p@ \@minus -4\p@}%{12\p@ \@plus 4\p@ \@minus 4\p@}%{\normalfont\large\bfseries\boldmath\rightskip=\z@ \@plus 8em\pretolerance=10000 }}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%{-18\p@ \@plus -4\p@ \@minus -4\p@}%{8\p@ \@plus 4\p@ \@minus 4\p@}%{\normalfont\normalsize\bfseries\boldmath\rightskip=\z@ \@plus 8em\pretolerance=10000 }}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%{-18\p@ \@plus -4\p@ \@minus -4\p@}%{-0.5em \@plus -0.22em \@minus -0.1em}%{\normalfont\normalsize\bfseries\boldmath}}
\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%{-12\p@ \@plus -4\p@ \@minus -4\p@}%{-0.5em \@plus -0.22em \@minus -0.1em}%{\normalfont\normalsize\itshape}}
\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use\string\subparagraph\space with this class}\vskip0.5cm
You should not use \verb|\subparagraph| with this class.\vskip0.5cm}\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}
\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}
\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}
\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}
\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}
\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}
\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}
\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}
\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}
\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}
\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}\let\footnotesize\small\if@custvec
\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}}
{\mbox{\boldmath$\textstyle#1$}}
{\mbox{\boldmath$\scriptstyle#1$}}
{\mbox{\boldmath$\scriptscriptstyle#1$}}}
\fi\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}
\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil
\penalty50\hskip1em\null\nobreak\hfil\squareforqed
\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip
\halign{\hfil
$\displaystyle##$\hfil\cr\gets\cr\to\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets
\cr\to\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets
\cr\to\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
\gets\cr\to\cr}}}}}
\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr
\noalign{\vskip1.2pt}=\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr
\noalign{\vskip1pt}=\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
<\cr
\noalign{\vskip0.9pt}=\cr}}}}}
\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr
\noalign{\vskip1.2pt}=\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr
\noalign{\vskip1pt}=\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
>\cr
\noalign{\vskip0.9pt}=\cr}}}}}
\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip
\halign{\hfil
$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr
>\cr\noalign{\vskip-1pt}<\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr
>\cr\noalign{\vskip-0.8pt}<\cr}}}
{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
>\cr\noalign{\vskip-0.3pt}<\cr}}}}}
\def\bbbr{{\rm I\!R}} %reelle Zahlen
\def\bbbm{{\rm I\!M}}
\def\bbbn{{\rm I\!N}} %natuerliche Zahlen
\def\bbbf{{\rm I\!F}}
\def\bbbh{{\rm I\!H}}
\def\bbbk{{\rm I\!K}}
\def\bbbp{{\rm I\!P}}
\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}
{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}
\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}
\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm
Q$}\hbox{\raise
0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise
0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise
0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise
0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}
\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm
T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox
to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox
to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox
to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}
\def\bbbs{{\mathchoice
{\setbox0=\hbox{$\displaystyle \rm S$}\hbox{\raise0.5\ht0\hbox
to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
{\setbox0=\hbox{$\textstyle \rm S$}\hbox{\raise0.5\ht0\hbox
to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptstyle \rm S$}\hbox{\raise0.5\ht0\hbox
to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox
to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}
\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}
{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}
{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}}
{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}}\let\ts\,\setlength\leftmargini {17\p@}
\setlength\leftmargin {\leftmargini}
\setlength\leftmarginii {\leftmargini}
\setlength\leftmarginiii {\leftmargini}
\setlength\leftmarginiv {\leftmargini}
\setlength \labelsep {.5em}
\setlength \labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}\def\@listI{\leftmargin\leftmargini\parsep 0\p@ \@plus1\p@ \@minus\p@\topsep 8\p@ \@plus2\p@ \@minus4\p@\itemsep0\p@}
\let\@listi\@listI
\@listi
\def\@listii {\leftmargin\leftmarginii\labelwidth\leftmarginii\advance\labelwidth-\labelsep\topsep 0\p@ \@plus2\p@ \@minus\p@}
\def\@listiii{\leftmargin\leftmarginiii\labelwidth\leftmarginiii\advance\labelwidth-\labelsep\topsep 0\p@ \@plus\p@\@minus\p@\parsep \z@\partopsep \p@ \@plus\z@ \@minus\p@}\renewcommand\labelitemi{\normalfont\bfseries --}
\renewcommand\labelitemii{$\m@th\bullet$}\setlength\arraycolsep{1.4\p@}
\setlength\tabcolsep{1.4\p@}\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}%{{\contentsname}}}\def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}}\def\lastand{\ifnum\value{auco}=2\relax\unskip{} \andname\\else\unskip \lastandname\\fi}%\def\and{\stepcounter{@auth}\relax\ifnum\value{@auth}=\value{auco}%\lastand\else\unskip,\fi}%\@starttoc{toc}\if@restonecol\twocolumn\fi}\def\l@part#1#2{\addpenalty{\@secpenalty}%\addvspace{2em plus\p@}% % space above part line\begingroup\parindent \z@\rightskip \z@ plus 5em\hrule\vskip5pt\large % same size as for a contribution heading\bfseries\boldmath % set line in boldface\leavevmode % TeX command to enter horizontal mode.#1\par\vskip5pt\hrule\vskip1pt\nobreak % Never break after part entry\endgroup}\def\@dotsep{2}\let\phantomsection=\relax\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else
{}\fi}\def\addnumcontentsmark#1#2#3{%
\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline{\thechapter}#3}{\thepage}\hyperhrefextend}}%
\def\addcontentsmark#1#2#3{%
\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}%
\def\addcontentsmarkwop#1#2#3{%
\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}%\def\@adcmk[#1]{\ifcase #1 \or
\def\@gtempa{\addnumcontentsmark}%\or \def\@gtempa{\addcontentsmark}%\or \def\@gtempa{\addcontentsmarkwop}%\fi\@gtempa{toc}{chapter}%
}
\def\addtocmark{%
\phantomsection
\@ifnextchar[{\@adcmk}{\@adcmk[3]}%
}\def\l@chapter#1#2{\addpenalty{-\@highpenalty}\vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup\parindent \z@ \rightskip \@tocrmarg\advance\rightskip by 0pt plus 2cm\parfillskip -\rightskip \pretolerance=10000\leavevmode \advance\leftskip\@tempdima \hskip -\leftskip{\large\bfseries\boldmath#1}\ifx0#2\hfil\null\else\nobreak\leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern\@dotsep mu$}\hfill\nobreak\hbox to\@pnumwidth{\hss #2}%\fi\par\penalty\@highpenalty \endgroup}\def\l@title#1#2{\addpenalty{-\@highpenalty}\addvspace{8pt plus 1pt}\@tempdima \z@\begingroup\parindent \z@ \rightskip \@tocrmarg\advance\rightskip by 0pt plus 2cm\parfillskip -\rightskip \pretolerance=10000\leavevmode \advance\leftskip\@tempdima \hskip -\leftskip#1\nobreak\leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern\@dotsep mu$}\hfill\nobreak\hbox to\@pnumwidth{\hss #2}\par\penalty\@highpenalty \endgroup}\def\l@author#1#2{\addpenalty{\@highpenalty}\@tempdima=15\p@ %\z@\begingroup\parindent \z@ \rightskip \@tocrmarg\advance\rightskip by 0pt plus 2cm\pretolerance=10000\leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip\textit{#1}\par\penalty\@highpenalty \endgroup}\setcounter{tocdepth}{0}
\newdimen\tocchpnum
\newdimen\tocsecnum
\newdimen\tocsectotal
\newdimen\tocsubsecnum
\newdimen\tocsubsectotal
\newdimen\tocsubsubsecnum
\newdimen\tocsubsubsectotal
\newdimen\tocparanum
\newdimen\tocparatotal
\newdimen\tocsubparanum
\tocchpnum=\z@ % no chapter numbers
\tocsecnum=15\p@ % section 88. plus 2.222pt
\tocsubsecnum=23\p@ % subsection 88.8 plus 2.222pt
\tocsubsubsecnum=27\p@ % subsubsection 88.8.8 plus 1.444pt
\tocparanum=35\p@ % paragraph 88.8.8.8 plus 1.666pt
\tocsubparanum=43\p@ % subparagraph 88.8.8.8.8 plus 1.888pt
\def\calctocindent{%
\tocsectotal=\tocchpnum
\advance\tocsectotal by\tocsecnum
\tocsubsectotal=\tocsectotal
\advance\tocsubsectotal by\tocsubsecnum
\tocsubsubsectotal=\tocsubsectotal
\advance\tocsubsubsectotal by\tocsubsubsecnum
\tocparatotal=\tocsubsubsectotal
\advance\tocparatotal by\tocparanum}
\calctocindent\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}
\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}
\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}
\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}
\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}}\@starttoc{lof}\if@restonecol\twocolumn\fi}
\def\l@figure{\@dottedtocline{1}{0em}{1.5em}}\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}}\@starttoc{lot}\if@restonecol\twocolumn\fi}
\let\l@table\l@figure\renewcommand\listoffigures{%\section*{\listfigurename\@mkboth{\listfigurename}{\listfigurename}}%\@starttoc{lof}%}\renewcommand\listoftables{%\section*{\listtablename\@mkboth{\listtablename}{\listtablename}}%\@starttoc{lot}%}\ifx\oribibl\undefined
\ifx\citeauthoryear\undefined
\renewenvironment{thebibliography}[1]{\section*{\refname}\def\@biblabel##1{##1.}\small\list{\@biblabel{\@arabic\c@enumiv}}%{\settowidth\labelwidth{\@biblabel{#1}}%\leftmargin\labelwidth\advance\leftmargin\labelsep\if@openbib\advance\leftmargin\bibindent\itemindent -\bibindent\listparindent \itemindent\parsep \z@\fi\usecounter{enumiv}%\let\p@enumiv\@empty\renewcommand\theenumiv{\@arabic\c@enumiv}}%\if@openbib\renewcommand\newblock{\par}%\else\renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\fi\sloppy\clubpenalty4000\widowpenalty4000%\sfcode`\.=\@m}{\def\@noitemerr{\@latex@warning{Empty `thebibliography' environment}}%\endlist}
\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw{\let\protect\noexpand\immediate\write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}
\newcount\@tempcntc
\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi\@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do{\@ifundefined{b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries?}\@warning{Citation `\@citeb' on page \thepage \space undefined}}%{\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%\ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne\@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%\else\advance\@tempcntb\@ne\ifnum\@tempcntb=\@tempcntc\else\advance\@tempcntb\m@ne\@citeo\@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}
\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else\@citea\def\@citea{,\,\hskip\z@skip}%\ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else{\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else\def\@citea{--}\fi\advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}
\else
\renewenvironment{thebibliography}[1]{\section*{\refname}\small\list{}%{\settowidth\labelwidth{}%\leftmargin\parindent\itemindent=-\parindent\labelsep=\z@\if@openbib\advance\leftmargin\bibindent\itemindent -\bibindent\listparindent \itemindent\parsep \z@\fi\usecounter{enumiv}%\let\p@enumiv\@empty\renewcommand\theenumiv{}}%\if@openbib\renewcommand\newblock{\par}%\else\renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\fi\sloppy\clubpenalty4000\widowpenalty4000%\sfcode`\.=\@m}{\def\@noitemerr{\@latex@warning{Empty `thebibliography' environment}}%\endlist}\def\@cite#1{#1}%\def\@lbibitem[#1]#2{\item[]\if@filesw{\def\protect##1{\string ##1\space}\immediate\write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\fi
\else
\@cons\@openbib@code{\noexpand\small}
\fi\def\idxquad{\hskip 10\p@}% space that divides entry from number\def\@idxitem{\par\hangindent 10\p@}\def\subitem{\par\setbox0=\hbox{--\enspace}% second order\noindent\hangindent\wd0\box0}% index entry\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third\noindent\hangindent\wd0\box0}% order index entry\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}\renewenvironment{theindex}{\@mkboth{\indexname}{\indexname}%\thispagestyle{empty}\parindent\z@\parskip\z@ \@plus .3\p@\relax\let\item\par\def\,{\relax\ifmmode\mskip\thinmuskip\else\hskip0.2em\ignorespaces\fi}%\normalfont\small\begin{multicols}{2}[\@makeschapterhead{\indexname}]%}{\end{multicols}}\renewcommand\footnoterule{%\kern-3\p@\hrule\@width 2truecm\kern2.6\p@}\newdimen\fnindent\fnindent1em
\long\def\@makefntext#1{%\parindent \fnindent%\leftskip \fnindent%\noindent\llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1}\long\def\@makecaption#1#2{%\small\vskip\abovecaptionskip\sbox\@tempboxa{{\bfseries #1.} #2}%\ifdim \wd\@tempboxa >\hsize{\bfseries #1.} #2\par\else\global \@minipagefalse\hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%\fi\vskip\belowcaptionskip}\def\fps@figure{htbp}
\def\fnum@figure{\figurename\thinspace\thefigure}
\def \@floatboxreset {%\reset@font\small\@setnobreak\@setminipage
}
\def\fps@table{htbp}
\def\fnum@table{\tablename~\thetable}
\renewenvironment{table}{\setlength\abovecaptionskip{0\p@}%\setlength\belowcaptionskip{10\p@}%\@float{table}}{\end@float}
\renewenvironment{table*}{\setlength\abovecaptionskip{0\p@}%\setlength\belowcaptionskip{10\p@}%\@dblfloat{table}}{\end@dblfloat}\long\def\@caption#1[#2]#3{\par\addcontentsline{\csnameext@#1\endcsname}{#1}{\protect\numberline{\csnamethe#1\endcsname}{\ignorespaces #2}}\begingroup\@parboxrestore\@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par\endgroup}% LaTeX does not provide a command to enter the authors institute
% addresses. The \institute command is defined here.\newcounter{@inst}
\newcounter{@auth}
\newcounter{auco}
\newdimen\instindent
\newbox\authrun
\newtoks\authorrunning
\newtoks\tocauthor
\newbox\titrun
\newtoks\titlerunning
\newtoks\toctitle\def\clearheadinfo{\gdef\@author{No Author Given}%\gdef\@title{No Title Given}%\gdef\@subtitle{}%\gdef\@institute{No Institute Given}%\gdef\@thanks{}%\global\titlerunning={}\global\authorrunning={}%\global\toctitle={}\global\tocauthor={}}\def\institute#1{\gdef\@institute{#1}}\def\institutename{\par\begingroup\parskip=\z@\parindent=\z@\setcounter{@inst}{1}%\def\and{\par\stepcounter{@inst}%\noindent$^{\the@inst}$\enspace\ignorespaces}%\setbox0=\vbox{\def\thanks##1{}\@institute}%\ifnum\c@@inst=1\relax\gdef\fnnstart{0}%\else\xdef\fnnstart{\c@@inst}%\setcounter{@inst}{1}%\noindent$^{\the@inst}$\enspace\fi\ignorespaces\@institute\par\endgroup}\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or{\star\star\star}\or \dagger\or \ddagger\or\mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger\or \ddagger\ddagger \else\@ctrerr\fi}}\def\inst#1{\unskip$^{#1}$}
\def\fnmsep{\unskip$^,$}
\def\email#1{{\tt#1}}
\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}%
\@ifpackageloaded{babel}{%
\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}%
\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}%
\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}%
}{\switcht@@therlang}%
\providecommand{\keywords}[1]{\par\addvspace\baselineskip
\noindent\keywordname\enspace\ignorespaces#1}%
}
\def\homedir{\~{ }}\def\subtitle#1{\gdef\@subtitle{#1}}
\clearheadinfo
%
%%% to avoid hyperref warnings
\providecommand*{\toclevel@author}{999}
%%% to make title-entry parent of section-entries
\providecommand*{\toclevel@title}{0}
%
\renewcommand\maketitle{\newpage
\phantomsection\refstepcounter{chapter}%\stepcounter{section}%\setcounter{section}{0}%\setcounter{subsection}{0}%\setcounter{figure}{0}\setcounter{table}{0}\setcounter{equation}{0}\setcounter{footnote}{0}%\begingroup\parindent=\z@\renewcommand\thefootnote{\@fnsymbol\c@footnote}%\if@twocolumn\ifnum \col@number=\@ne\@maketitle\else\twocolumn[\@maketitle]%\fi\else\newpage\global\@topnum\z@ % Prevents figures from going at top of page.\@maketitle\fi\thispagestyle{empty}\@thanks
%\def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}%\def\thanks##1{\unskip{}}\def\fnmsep{\unskip}%\instindent=\hsize\advance\instindent by-\headlineindent\if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else\addcontentsline{toc}{title}{\the\toctitle}\fi\if@runhead\if!\the\titlerunning!\else\edef\@title{\the\titlerunning}%\fi\global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}%\ifdim\wd\titrun>\instindent\typeout{Title too long for running head. Please supply}%\typeout{a shorter form with \string\titlerunning\space prior to\string\maketitle}%\global\setbox\titrun=\hbox{\small\rmTitle Suppressed Due to Excessive Length}%\fi\xdef\@title{\copy\titrun}%\fi
%\if!\the\tocauthor!\relax{\def\and{\noexpand\protect\noexpand\and}%\protected@xdef\toc@uthor{\@author}}%\else\def\\{\noexpand\protect\noexpand\newline}%\protected@xdef\scratch{\the\tocauthor}%\protected@xdef\toc@uthor{\scratch}%\fi\addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}%\addcontentsline{toc}{author}{\toc@uthor}%\if@runhead\if!\the\authorrunning!\value{@inst}=\value{@auth}%\setcounter{@auth}{1}%\else\edef\@author{\the\authorrunning}%\fi\global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}%\ifdim\wd\authrun>\instindent\typeout{Names of authors too long for running head. Please supply}%\typeout{a shorter form with \string\authorrunning\space prior to\string\maketitle}%\global\setbox\authrun=\hbox{\small\rmAuthors Suppressed Due to Excessive Length}%\fi\xdef\@author{\copy\authrun}%\markboth{\@author}{\@title}%\fi\endgroup\setcounter{footnote}{\fnnstart}%\clearheadinfo}
%
\def\@maketitle{\newpage\markboth{}{}%\def\lastand{\ifnum\value{@inst}=2\relax\unskip{} \andname\\else\unskip \lastandname\\fi}%\def\and{\stepcounter{@auth}\relax\ifnum\value{@auth}=\value{@inst}%\lastand\else\unskip,\fi}%\begin{center}%\let\newline\\{\Large \bfseries\boldmath\pretolerance=10000\@title \par}\vskip .8cm
\if!\@subtitle!\else {\large \bfseries\boldmath\vskip -.65cm\pretolerance=10000\@subtitle \par}\vskip .8cm\fi\setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}%\def\thanks##1{}\@author}%\global\value{@inst}=\value{@auth}%\global\value{auco}=\value{@auth}%\setcounter{@auth}{1}%
{\lineskip .5em
\noindent\ignorespaces
\@author\vskip.35cm}{\small\institutename}\end{center}%}% definition of the "\spnewtheorem" command.
%
% Usage:
%
% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}
% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}
% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}
%
% New is "cap_font" and "body_font". It stands for
% fontdefinition of the caption and the text itself.
%
% "\spnewtheorem*" gives a theorem without number.
%
% A defined spnewthoerem environment is used as described
% by Lamport.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\def\@thmcountersep{}
\def\@thmcounterend{.}\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}% definition of \spnewtheorem with number\def\@spnthm#1#2{%\@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}
\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname{\@definecounter{#1}\@addtoreset{#1}{#3}%\expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand\csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%\expandafter\xdef\csname #1name\endcsname{#2}%\global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%\global\@namedef{end#1}{\@endtheorem}}}\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname{\@definecounter{#1}%\expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%\expandafter\xdef\csname #1name\endcsname{#2}%\global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%\global\@namedef{end#1}{\@endtheorem}}}\def\@spothm#1[#2]#3#4#5{%\@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%{\expandafter\@ifdefinable\csname #1\endcsname{\newaliascnt{#1}{#2}%\expandafter\xdef\csname #1name\endcsname{#3}%\global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%\global\@namedef{end#1}{\@endtheorem}}}}\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@
\refstepcounter{#1}%
\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%\ignorespaces}\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csnamethe#1\endcsname}{#5}{#3}{#4}\ignorespaces}\def\@spbegintheorem#1#2#3#4{\trivlist\item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4}\def\@spopargbegintheorem#1#2#3#4#5{\trivlist\item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5}% definition of \spnewtheorem* without number\def\@sthm#1#2{\@Ynthm{#1}{#2}}\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname{\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%\expandafter\xdef\csname #1name\endcsname{#2}%\global\@namedef{end#1}{\@endtheorem}}}\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@
\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}{#4}{#2}{#3}\ignorespaces}\def\@Begintheorem#1#2#3{#3\trivlist\item[\hskip\labelsep{#2#1\@thmcounterend}]}\def\@Opargbegintheorem#1#2#3#4{#4\trivlist\item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}\if@envcntsect\def\@thmcountersep{.}\spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}
\else\spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}\if@envcntreset\@addtoreset{theorem}{section}\else\@addtoreset{theorem}{chapter}\fi
\fi%definition of divers theorem environments
\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}
\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}
\if@envcntsame % alle Umgebungen wie Theorem.\def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}
\else % alle Umgebungen mit eigenem Zaehler\if@envcntsect % mit section numeriert\def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}\else % nicht mit section numeriert\if@envcntreset\def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}\@addtoreset{#1}{section}}\else\def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}\@addtoreset{#1}{chapter}}%\fi\fi
\fi
\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}
\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}
\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}
\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}
\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}
\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily}
\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}
\spn@wtheorem{note}{Note}{\itshape}{\rmfamily}
\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily}
\spn@wtheorem{property}{Property}{\itshape}{\rmfamily}
\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}
\spn@wtheorem{question}{Question}{\itshape}{\rmfamily}
\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily}
\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}\def\@takefromreset#1#2{%\def\@tempa{#1}%\let\@tempd\@elt\def\@elt##1{%\def\@tempb{##1}%\ifx\@tempa\@tempb\else\@addtoreset{##1}{#2}%\fi}%\expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname\expandafter\def\csname cl@#2\endcsname{}%\@tempc\let\@elt\@tempd}\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist\item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}\def\@Opargbegintheorem##1##2##3##4{##4\trivlist\item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}}\renewenvironment{abstract}{%\list{}{\advance\topsep by0.35cm\relax\small\leftmargin=1cm\labelwidth=\z@\listparindent=\z@\itemindent\listparindent\rightmargin\leftmargin}\item[\hskip\labelsep\bfseries\abstractname]}{\endlist}\newdimen\headlineindent % dimension for space between
\headlineindent=1.166cm % number and text of headings.\def\ps@headings{\let\@mkboth\@gobbletwo\let\@oddfoot\@empty\let\@evenfoot\@empty\def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%\leftmark\hfil}\def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}%\llap{\thepage}}\def\chaptermark##1{}%\def\sectionmark##1{}%\def\subsectionmark##1{}}\def\ps@titlepage{\let\@mkboth\@gobbletwo\let\@oddfoot\@empty\let\@evenfoot\@empty\def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%\hfil}\def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}%\llap{\thepage}}\def\chaptermark##1{}%\def\sectionmark##1{}%\def\subsectionmark##1{}}\if@runhead\ps@headings\else
\ps@empty\fi\setlength\arraycolsep{1.4\p@}
\setlength\tabcolsep{1.4\p@}\endinput
%end of file llncs.cls2.5 main
% !TeX program = xelatex
% !TEX root = main.tex
% !TeX encoding = UTF-8
\documentclass[10.5pt,compsoc]{CjC}
%\usepackage{CJKutf8}
%\usepackage{CJK}
\usepackage{graphicx}
\usepackage{footmisc}
\usepackage{subfigure}
\usepackage{url}
\usepackage{multirow}
\usepackage[noadjust]{cite}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,amsfonts}
\usepackage{booktabs}
\usepackage{color}
\usepackage{ccaption}
\usepackage{booktabs}
\usepackage{float}
\usepackage{fancyhdr}
\usepackage{caption}
\usepackage{xcolor,stfloats}
\usepackage{comment}
\setcounter{page}{1}
\graphicspath{{figures/}}
\usepackage{cuted}%flushend,
\usepackage{captionhack}
\usepackage{epstopdf}
%\usepackage{ccmap}
%\CJKtilde
%\usepackage{CJKpunct}
%\usepackage[lite,subscriptcorrection,slantedGreek,nofontinfo]{mtpro2}%===============================%%\firstfootname{ \quad \quad }
\headevenname{\mbox{\quad} \hfill \mbox{\zihao{-5}{\songti 计\quad \quad 算\quad \quad 机\quad \quad 学\quad \quad 报 } \hspace {50mm} \mbox{\songti 2019 年 }}}%
\headoddname{\songti ? 期 \hfill
作者姓名等：论文题目 }%%footnote use of *
\renewcommand{\thefootnote}{\fnsymbol{footnote}}
\setcounter{footnote}{0}
\renewcommand\footnotelayout{\zihao{5-}}\newtheoremstyle{mystyle}{0pt}{0pt}{\normalfont}{1em}{\bf}{}{1em}{}
\theoremstyle{mystyle}
\renewcommand\figurename{figure~}
\renewcommand{\thesubfigure}{(\alph{subfigure})}
\newcommand{\upcite}[1]{\textsuperscript{\cite{#1}}}
\renewcommand{\labelenumi}{(\arabic{enumi})}
\newcommand{\tabincell}[2]{\begin{tabular}{@{}#1@{}}#2\end{tabular}}
\newcommand{\abc}{\color{white}\vrule width 2pt}
\makeatletter
\renewcommand{\@biblabel}[1]{[#1]\hfill}
\makeatother
\setlength\parindent{2em}
%\renewcommand{\hth}{\heiti }
%\renewcommand{\htss}{\begin{CJK*}{UTF8}{song}}\begin{document}
\hyphenpenalty=50000
\makeatletter
\newcommand\mysmall{\@setfontsize\mysmall{7}{9.5}}
\newenvironment{tablehere}{\def\@captype{table}}\let\temp\footnote
\renewcommand \footnote[1]{\temp{\zihao{-5}#1}}\thispagestyle{plain}%
\thispagestyle{empty}%
\pagestyle{CjCheadings}\begin{table*}[!t]
\vspace {-13mm}
\begin{tabular}{p{168mm}}
\zihao{5-}
\songti
第??卷\quad 第?期 \hfill 计\quad 算\quad 机\quad 学\quad 报\hfill Vol. ?? No. ?
\zihao{5-}\songti
20??年?月 \hfill CHINESE JOURNAL OF COMPUTERS \hfill ???. 20?? \\
\hline\\[-4.5mm]
\hline\end{tabular}\centering
\vspace{11mm}
\heiti
{\zihao{2} 题目（中英文题目一致)字体为2号黑体(全文除特别声明外， 外文统一用Times New Roman) }\vskip 5mm{\zihao{3} \fangsong
作者名$^{1)}$\quad 作者名$^{2),3)}$ \quad 作者名$^{3) }$($^*$字体为3号仿宋*作者)}\vspace{5mm}
\zihao{6}{\songti
$^{1)}$(单位全名 部门(系)全名, 市(或直辖市) 国家名 邮政编码)
*字体为6号宋体*单位}\zihao{6}{\songti
$^{2)}$(单位全名 部门(系)全名, 市(或直辖市) 国家名
邮政编码)*中英文单位名称、作者姓名须一致*}\zihao{6}{\songti
$^{3)}$(单位全名 部门(系)全名, 市(或直辖市) 国家名 邮政编码)}\zihao{6}{\heiti
论文定稿后，作者署名、单位无特殊情况不能变更。若变更，须提交签章申请，国家名为中国可以不写，省会城市不写省的名称，其他国家必须写国家名。}\vskip 5mm
{\centering
\begin{tabular}{p{160mm}}
\zihao{5-}{\setlength{\baselineskip}{16pt}\selectfont{\noindent\heiti 摘\quad 要\quad \songti
*中文摘要内容置于此处(英文摘要中要有这些内容)，字体为小5号宋体。摘要贡献部分，要有数据支持，不要出现``...大大提高''、``...显著改善''等描述，正确的描述是``比{\ldots}提高X{\%}''、
``在{\ldots}上改善X{\%}''。*摘要\par}}\\[2mm]\zihao{5-}{\noindent
\heiti 关键词 \quad \songti {*关键词（中文关键字与英文关键字对应且一致，应有5-7个关键词)；关键词；关键词；关键词* }}\\[2mm]
\zihao{5-}{\heiti 中图法分类号 \songti
TP \rm{\quad \quad \quad }
\heiti DOI号: \songti
*投稿时不提供DOI号 }
\end{tabular}}\vskip 7mm\begin{center}
\zihao{3}{ {\heiti Title *（中英文题目一致)字体为4号Times New Roman,加粗* Title }}\\
\vspace {5mm}
\zihao{5}{ {\heiti NAME Name-Name$^{1)}$ NAME Name$^{2)}$ NAME Name-Name$^{3)}$ *字体为5号Times
new Roman*Name
}}\\
\vspace {2mm}
\zihao{6}{\heiti {$^{1)}$(Department of ****, University, City ZipCode, China) *字体为6号Times
new Roman* Depart.Correspond} }\zihao{6}{\heiti {$^{2)}$(Department of ****, University, City ZipCode)*中国不写国家名*} }\zihao{6}{\heiti {$^{3)}$(Department of ****, University, City ZipCode, country)*外国写国家名*} }\end{center}\begin{tabular}{p{160mm}}
\zihao{5}{\setlength{\baselineskip}{18pt}\selectfont{{\bf Abstract}\quad \begin{heiti} (\textbf{500英文单词，内容包含中文摘要的内容}).
字体为Times new Roman,字号5号* Abstract \end{heiti}
\par}}\\\setlength{\baselineskip}{18pt}\selectfont{\zihao{5}{\noindent Do not modify the amount of space before and after the artworks. One- or two-column format artworks are preferred. and Tables, create a new break line and paste the resized artworks where desired. Do not modify the amount of space before and after the artworks. One- or two-column format artworks are preferred. All Schemes, Equations, Figures, and Tables should be mentioned in the text consecutively and numbered with Arabic numerals, and appear below where they are mentioned for the first time in the main text. To insert Schemes, Equations, Figures, and Tables, create a new break line and paste the resized artworks where desired. Do not modify the amount of space before and after the artworks. One- or two-column format artworks are preferred.Do not modify the amount of space before and after the artworks. One- or two-column format artworks are preferred. and Tables, create a new break line and paste the resized artworks where desired. Do not modify the amount of space before and after the artworks. One- or two-column format artworks are preferred. All Schemes, Equations, Figures, and Tables should be mentioned in the text consecutively and numbered with Arabic numerals, and appear below where they are mentioned for the first time in the main text.\vspace {5mm}
{\bf Keywords}\quad \heiti 中文关键字与英文关键字对应且一致，\textbf{不要用英文缩写});
key word; key word; key word* *字体为5号Times new Roman * Key words }\par}
\end{tabular}\setlength{\tabcolsep}{2pt}
\begin{tabular}{p{0.05cm}p{16.15cm}}
\multicolumn{2}{l}{\rule[4mm]{40mm}{0.1mm}}\\[-3mm]
&\begin{songti}
收稿日期：\quad \quad -\quad -\quad ；最终修改稿收到日期：\quad \quad -\quad -\quad .*投稿时不填写此项*. 本课题得到… …基金中文完整名称(No.项目号)、… …基金中文完整名称(No.项目号)、… … 基金中文完整名称(No.项目号)资助.作者名1(通信作者)，性别，xxxx年生，学位(或目前学历)，职称，是/否计算机学会(CCF)会员（提供会员号),主要研究领域为*****、****.E-mail: **************.作者名2（通信作者)，性别，xxxx年生，学位(或目前学历)，职称，是/否计算机学会(CCF)会员（提供会员号),主要研究领域为*****、****.E-mail: **************. 作者名3（通信作者)，性别，xxxx年生，学位(或目前学历)，职称，是/否计算机学会(CCF)会员（提供会员号),主要研究领域为*****、****.E-mail: **************.(给出的电子邮件地址应不会因出国、毕业、更换工作单位等原因而变动。请给出所有作者的电子邮件)
第1作者手机号码(投稿时必须提供，以便紧急联系，发表时会删除): … …, E-mail: … …*此部分6号宋体*
\end{songti}
\end{tabular}\end{table*}
\clearpage\clearpage
\begin{strip}
\vspace {-13mm}
\end{strip}\linespread{1.15}
\heiti
\zihao{5}
\vskip 1mm
\section{一级标题*字体为4号黑体*标题1}
\textbf{对投稿的基本要求}：\songti
(1) 研究性论文主体应包括引言(重点论述研究的科学问题、意义、解决思路、价值、贡献等)、相关工作(为与引言部分独立的一个章节)、主要成果论述、关键实现技术、验证(对比实验或理论证明)、结论(结束语)等内容；系统实现或实验应有关键点的详细论述，以便读者能够重复实现论文所述成果。实验应有具体的实验环境设置、全面细致的数据对比分析。(2) 综述应包括引言、问题与挑战、研究现状分析、未来研究方向、结论等内容。以分析、对比为主，避免堆砌文献或一般性介绍、叙述。(3) 定理证明、公式推导、大篇幅的数学论述、原始数据，放到论文最后的附录中。{\bf 稿件提交时的基本要求：}(1) 本模板中要求的各项内容正确齐全，无遗漏；(2) 语句通顺，无中文、英文语法错误，易于阅读理解，符号使用正确，图、表清晰无误；(3) 在学术、技术上，论文内容正确无误，各项内容确定。{\heiti \subsection{二级标题 *字体为5号黑体*标题2} }
\subsubsection{三级标题 *字体为5号宋体*标题3}
*正文部分, 字体为5号宋体* 正文文字\textbf{正文文字要求语句通顺，无语法错误，结构合理，条理清楚，不影响审稿人、读者阅读理解全文内容。以下几类问题请作者们特别注意}：1) 文章题目应明确反映文章的思想和方法；文字流畅，表述清楚；2) 中文文字、英文表达无语法错误；3) 公式中无符号、表达式的疏漏，没有同一个符号表示两种意思的情况；4) 数学中使用的符号、函数名用斜体；5) 使用的量符合法定计量单位标准；6) 矢量为黑体，标量为白体；7) 变量或表示变化的量用斜体；8) 图表规范，量、线、序无误，位置正确(图表必须在正文中有所表述后出现，即{\ldots}如图1所示)(注意纵、横坐标应有坐标名称和刻度值)。9) 列出的参考文献必须在文中按顺序引用，即参考文献顺序与引用顺序一致，各项信息齐全(格式见参考文献部分)；10) 首次出现的缩写需写明全称，首次出现的符号需作出解释。11) 图的图例说明、坐标说明全部用中文或量符号。\textbf{12) 图应为矢量图。}13) 表中表头文字采用中文。14) 公式尺寸：标准：10.5磅下标/上标：5.8磅次下标/上标：4.5磅符号：16磅次符号：10.5磅15) 组合单位采用标准格式，如：``pJ/bit/m$^{4}$''应为 ``pJ/(bit$\cdot
$m$^{4})$''{\heiti\textbf{定理1}. }\quad ******. *定理内容.*[``定义''、``假设''、``公理''、``引理''等的排版格式与此相同，详细定理证明、公式可放在附录中]{ \fangsong 证明 }.\quad *证明过程.* [``例 x''等的排版格式相同]\rightline {证毕.}\begin{figure}[htbp]
\centerline{\includegraphics[width=3.15in,height=1.98in]{CJC1.pdf}}
图X\quad 图片说明 *字体为小5号，图片应为黑白图，图中的子图要有子图说明*
\label{fig1}
\end{figure}\begin{table}[htbp]
\centering {\heiti 表X\quad 表说明 *表说明采用黑体* }
\vspace {-2.5mm}
\begin{center}
\begin{tabular}{ll}
\toprule
*示例表格*&*第1行为表头,表头要有内容* \\
\hline
&\\
&\\
&\\
&\\
\bottomrule
\end{tabular}
\label{tab1}
\end{center}
\end{table}\heiti 过程X. \quad 过程名称{\zihao{5-}*《计算机学报》的方法过程描述字体为小5号宋体，IF、THEN等伪代码关键词全部用大写字母，变量和函数名称用斜体*}\heiti 算法\textbf{Y} .\quad 算法名称.
\zihao{5-}{\noindent 输入：{\ldots} {\ldots}\noindent 输出：{\ldots} {\ldots}*《计算机学报》的算法描述字体为小5号宋体, IF、THEN等伪代码关键词全部用大写字母，变量和函数名称用斜体*}\vspace {3mm}
\zihao{5}{\noindent \heiti 致\quad 谢 \quad \kaishu *致谢内容.* 致谢 }\vspace {5mm}
\centerline
{\zihao{5}
\heiti 参~考~文~献 }% \begin{thebibliography}{99}
% \zihao{5-} \addtolength{\itemsep}{-1em}
% \vspace{1.5mm}% \bibitem[1]{1}
% 网上的文献(举例：The Cooperative
% Association for Internet Data Analysis(CAIDA),http://www.caida.org/data
% 2010,7,18) \textbf{*请采用脚注放于正文出现处，每页的脚注从1开始编序号*}\footnote{The Cooperative Association for Internet Data
% Analysis (CAIDA), http://www.caida.org/data 2010, 7, 18}% \bibitem[2]{2} 中文的参考文献需给出中英文对照。形式如[3]。% \bibitem[3]{3} Zhou Yong-Bin, Feng Deng-Guo. Design and analysis of cryptographic
% protocols for RFID. Chinese Journal of Computers, 2006, 29(4): 581-589 (in
% Chinese) \newline
% (周永彬, 冯登国. RFID安全协议的设计与分析. 计算机学报, 2006, 29(4): 581-589)% \bibitem[4]{4} 期刊、会议、书籍名称不能用缩写。% \bibitem[5]{5} 作者(外国人姓在前，名在后可缩写, 后同).
% 题目(英文题目第一字母大写，其它均小写)：副标题(如果有). 刊名(全称), 年,
% 卷(期): 页码 \textbf{*期刊论文格式*}% \bibitem[6]{6}作者.
% 文章题目(英文题目第1字母大写，其它均小写)：副标题(如果有)//Proceedings of
% the {\ldots} (会议名称). 会议召开城市, 会议召开城市所在国家, 年: 页码
% \textbf{*会议论文集论文格式*}% \bibitem[7]{7}作者. 文章题目(英文题目第一字母大写, 其它均小写):
% 副标题(如果有)//编者. 文集标题. 出版地: 出版社, 出版年: 页码
% \textbf{*文集格式*}% \bibitem[8]{8}作者. 书名: 副标题(如果有). 版次(初版不写). 出版社地点: 出版社,
% 出版年 \textbf{*书籍格式*}% \bibitem[9]{9}作者. 文章题目[博士学位论文/硕士学位论文]. 单位名称,单位地点, 年
% \textbf{*学位论文格式*}% \bibitem[10]{10}作者. 文章题目(英文题目第一字母大写，其它均小写). 单位地点: 单位,
% 技术报告: 报告编号, 年 \textbf{*技术报告*}% \bibitem[11]{11}专利拥有人. 专利名称，专利授权国家，专利授权日期
% \textbf{*技术专利*}
% \end{thebibliography}\begin{strip}
\end{strip}\noindent {\zihao{5}\bf{附录X}.}{\zihao{5-}\setlength\parindent{2em}
*\textbf{附录内容}置于此处，字体为小5号宋体。附录内容包括：\textbf{详细的定理证明、公式推导、原始数据}等*}\begin{strip}
\end{strip}\begin{biography}[yourphotofilename.jpg]
\noindent
\textbf{First A. Author}\ \ *计算机学报第1作者提供照片电子图片，尺寸为1寸。英文作者介绍内容包括：出生年,学位(或目前学历),职称,主要研究领域(\textbf{与中文作者介绍中的研究方向一致}).*
*字体为小5号Times New Roman*\end{biography}\begin{biography}[yourphotofilename.jpg]
\noindent
\textbf{Second B. Author} *英文作者介绍内容包括：出生年,学位(或目前学历),职称,主要研究领域(\textbf{与中文作者介绍中的研究方向一致})。*
*字体为小5号Times New Roman*
\end{biography}
\begin{strip}
\end{strip}
\zihao{5}
\noindent \textbf{Background}\zihao{5-}{\setlength\parindent{2em}
*论文背景介绍为\textbf{英文}，字体为小5号Times New Roman体*论文后面为400单词左右的英文背景介绍。介绍的内容包括：本文研究的问题属于哪一个领域的什么问题。该类问题目前国际上解决到什么程度。本文将问题解决到什么程度。课题所属的项目。项目的意义。本研究群体以往在这个方向上的研究成果。本文的成果是解决大课题中的哪一部分，如果涉及863$\backslash $973以及其项目、基金、研究计划，注意这些项目的英文名称应书写正确。}\end{document}2.6 mtpro2.sty
%%
%% This is file `mtpro2.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% mtpro2.dtx (with options: `mtpro')
%%
%% Copyright 1996 1997 Frank Mittelbach and David Carlisle.
%% Copyright 2001--2006 Frank Mittelbach, David Carlisle, Walter Schmidt, Mike Spivak
\NeedsTeXFormat{LaTeX2e}[1997/06/01]
\ProvidesPackage{mtpro2}[2006/05/03 v1.1 %MathTimePro II font support (PCTeX/WaS)%
]
\newif\ifmtp@full
\DeclareOption{complete}{\mtp@fulltrue}
\DeclareOption{lite}{\mtp@fullfalse\mtp@amsfalse}
\def\mtp@opterr{%\PackageError{mtpro2}%{Option \CurrentOption\space cannot be used\MessageBreaktogether with the option `lite'}%{Remove the option `lite' or make sure that the complete MT-Pro font set is provided.}
}
\newif\ifmtp@ams
\DeclareOption{noamssymbols}{\mtp@amsfalse}
\DeclareOption{amssymbols}{\ifmtp@full\mtp@amstrue\else\mtp@opterr\fi}
\DeclareOption{uprightGreek}{\let\Gamma=u}
\DeclareOption{slantedGreek}{\let\Gamma=s}
\newif\ifmtp@slops
\DeclareOption{uprightoperators}{\mtp@slopsfalse}
\DeclareOption{slantedoperators}{\mtp@slopstrue}
\newcommand\enablesubscriptcorrection {\catcode`\_=12\relax}
\newcommand\disablesubscriptcorrection{\catcode`\_=8\relax}
\DeclareOption{nosubscriptcorrection}{\disablesubscriptcorrection}
\DeclareOption{subscriptcorrection} {\enablesubscriptcorrection}
\DeclareOption{zswash}{\mathcode `z="8000}
\DeclareOption{nozswash}{\mathcode `z="717A}
\DeclareOption{cmcal} {\let\mathcal=c}
\DeclareOption{lucidacal}{\let\mathcal=l}
\DeclareOption{eucal} {\let\mathcal=e}
\DeclareOption{mtpluscal}{\let\mathcal=s}
\DeclareOption{mtpcal} {\ifmtp@full\let\mathcal=a\else\mtp@opterr\fi}
\DeclareOption{mtpccal} {\ifmtp@full\let\mathcal=u\else\mtp@opterr\fi}
\DeclareOption{lucidascr}{\let\mathscr=l}
\DeclareOption{mtplusscr}{\let\mathscr=s}
\DeclareOption{mtpscr} {\ifmtp@full\let\mathscr=a\else\mtp@opterr\fi}
\DeclareOption{eufrak} {\let\mathfrak=e}
\DeclareOption{mtpfrak} {\ifmtp@full\let\mathfrak=a\else\mtp@opterr\fi}
\newif\ifmtp@greekalpha\mtp@greekalphatrue
\DeclareOption{compatiblegreek}{\mtp@greekalphafalse}
\DeclareOption{amsbb}{\let\mathbb=y}
\DeclareOption{mtpbb}{\let\mathbb=b}
\DeclareOption{mtpbbd}{\let\mathbb=d}
\DeclareOption{mtphrb}{\let\mathbb=h}
\DeclareOption{mtphrd}{\let\mathbb=k}
\DeclareOption{mtpbbi}{\let\mathbb=i}
\DeclareOption{mtphbi}{\let\mathbb=j}
\DeclareOption{errorshow}{%\def\@font@info#1{%\GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%{LaTeX Font Info: \space\space\space#1}}%\def\@font@warning#1{%\GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%{LaTeX Font Warning: #1}}}
\DeclareOption{warningshow}{%\def\@font@info#1{%\GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%{LaTeX Font Info: \space\space\space#1}}%\def\@font@warning#1{%\GenericWarning{(Font)\@spaces\@spaces\@spaces\space\space}%{LaTeX Font Warning: #1}}}
\DeclareOption{nofontinfo}{%\let\@font@info\@gobble\let\@font@warning\@gobble}
\ExecuteOptions{%complete,amssymbols,uprightGreek,uprightoperators,nosubscriptcorrection,cmcal,errorshow}
\ProcessOptions
\normalfont
\ifmtp@full
\DeclareMathVersion{heavy}
\newcommand\heavymath{\@nomath\heavymath\mathversion{heavy}}
\fi
\DeclareFontEncoding{LMP1}{}{}
\DeclareFontSubstitution{LMP1}{mtt}{m}{it}
\DeclareFontFamily{LMP1}{mtt}{\skewchar\font45}
\DeclareFontShape{LMP1}{mtt}{m}{it}{<-7> mt2mif <7-9> mt2mis <9-> mt2mit}{}
\DeclareFontShape{LMP1}{mtt}{b}{it}{<-7> mt2bmif <7-9> mt2bmis <9-> mt2bmit}{}
\DeclareFontEncoding{LMP2}{}{}
\DeclareFontSubstitution{LMP2}{mtt}{m}{n}
\DeclareFontFamily{LMP2}{mtt}{\skewchar\font48}
\DeclareFontShape{LMP2}{mtt}{m}{n}{<-7> mt2syf <7-9> mt2sys <9-> mt2syt}{}
\DeclareFontShape{LMP2}{mtt}{b}{n}{<-7> mt2bsyf <7-9> mt2bsys <9-> mt2bsyt}{}
\DeclareFontShape{LMP2}{mtt}{eb}{n}{<-7> mt2hsyf <7-9> mt2hsys <9-> mt2hsyt}{}
\DeclareFontEncoding{LMP3}{}{}
\DeclareFontSubstitution{LMP3}{mtt}{m}{n}
\DeclareFontFamily{LMP3}{mtt}{}
\DeclareFontShape{LMP3}{mtt}{m}{n}{<->mt2exa}{}
\DeclareFontShape{LMP3}{mtt}{b}{n}{<->mt2bexa}{}
\DeclareFontShape{LMP3}{mtt}{eb}{n}{<->mt2hexa}{}
\DeclareFontFamily{U}{mtt}{\skewchar\font45}
\DeclareFontShape{U}{mtt}{b}{n}{<-7> mt2mbf <7-9> mt2mbs <9-> mt2mbt}{}% (MJ)
\DeclareSymbolFont{operators} {\encodingdefault}{\rmdefault}{m}{n}
\DeclareSymbolFont{letters} {LMP1}{mtt}{m}{it}
\DeclareSymbolFont{symbols} {LMP2}{mtt}{m}{n}
\DeclareSymbolFont{largesymbols}{LMP3}{mtt}{m}{n}
\ifmtp@full
\SetSymbolFont{operators} {bold}{\encodingdefault}{\rmdefault}{b}{n}
\SetSymbolFont{letters} {bold}{LMP1}{mtt}{b}{it}
\SetSymbolFont{symbols} {bold}{LMP2}{mtt}{b}{n}
\SetSymbolFont{largesymbols}{bold}{LMP3}{mtt}{b}{n}
\SetSymbolFont{symbols} {heavy}{LMP2}{mtt}{eb}{n}
\SetSymbolFont{largesymbols}{heavy}{LMP3}{mtt}{eb}{n}
\DeclareFontFamily{U}{mt2sya}{}%
\DeclareFontShape{U}{mt2sya}{m}{n}{<-7>mt2syaf<7-9>mt2syas<9->mt2syat}{}%
\DeclareFontShape{U}{mt2sya}{b}{n}{<-7>mt2bsyaf<7-9>mt2bsyas<9->mt2bsyat}{}%
\DeclareFontShape{U}{mt2sya}{eb}{n}{<-7>mt2hsyaf<7-9>mt2hsyas<9->mt2hsyat}{}%
\fi
\normalsize
\dimen@\f@size pt
\edef\tMTPsize{\f@size pt}
\font\MTEXA@=mt2exa at \the\dimen@
\font\MTXL@=mt2xl at \the\dimen@
\multiply\dimen@\tw@
\font\MTEXE@=mt2exe at \the\dimen@
\font\MTXXXL@=mt2xxxl at \the\dimen@
\multiply\dimen@\tw@
\font\MTEXF@=mt2exf at \the\dimen@
\multiply\dimen@\tw@
\font\MTEXG@=mt2exg at \the\dimen@
\alloc@0\count\countdef\insc@unt\pointcount@
\def\getpoints@#1.#2\getpoints@{\pointcount@#1\relax}
\DeclareMathAlphabet{\mathbf}{\encodingdefault}{\rmdefault}{b}{n}
\DeclareMathAlphabet{\mathit}{\encodingdefault}{\rmdefault}{m}{it}
\DeclareMathAlphabet{\mathsf}{\encodingdefault}{\sfdefault}{m}{n}
\DeclareMathAlphabet{\mathtt}{\encodingdefault}{\ttdefault}{m}{n}
\SetMathAlphabet{\mathit}{bold}{\encodingdefault}{\rmdefault}{b}{it}
\SetMathAlphabet{\mathsf}{bold}{\encodingdefault}{\sfdefault}{b}{n}
\SetMathAlphabet{\mathtt}{bold}{\encodingdefault}{\ttdefault}{b}{n}
\DeclareMathAlphabet{\mbf}{U}{mtt}{b}{n}
\DeclareMathAlphabet{\mathbold}{LMP1}{mtt}{b}{it}
\ifx\mathscr s\let\mathscr\relax\DeclareMathAlphabet{\mathscr} {U}{mtms}{m}{n}\SetMathAlphabet {\mathscr} {bold}{U}{mtms}{b}{n}\DeclareMathAlphabet{\mathbscr} {U}{mtms}{b}{n}
\fi
\ifx\mathscr l\let\mathscr\relax\DeclareMathAlphabet{\mathscr} {OMS}{lbm}{m}{n}\SetMathAlphabet{\mathscr}{bold}{OMS}{lbm}{b}{n}\DeclareMathAlphabet{\mathbscr} {OMS}{lbm}{b}{n}
\fi
\ifx\mathscr a\let\mathscr\relax\DeclareRobustCommand*{\mathscr}[1]{{\MTPsetupScript\MTPScript{#1}}}\DeclareRobustCommand*{\mathbscr}[1]{{\MTPsetupScript\MTPbScript{#1}}}
\fi
\ifx\mathcal l\let\mathcal\relax\DeclareMathAlphabet{\mathcal} {OMS}{lbm}{m}{n}\SetMathAlphabet{\mathcal}{bold}{OMS}{lbm}{b}{n}\DeclareMathAlphabet{\mathbcal} {OMS}{lbm}{b}{n}
\fi
\ifx\mathcal s\let\mathcal\relax\DeclareMathAlphabet{\mathcal} {U}{mtms}{m}{n}\SetMathAlphabet{\mathcal}{bold}{U}{mtms}{b}{n}\DeclareMathAlphabet{\mathbcal} {U}{mtms}{b}{n}
\fi
\ifx\mathcal e\let\mathcal\relax\DeclareFontFamily{U}{eus}{\skewchar\font'60}\DeclareFontShape{U}{eus}{m}{n}{<-7>eusm5<7-9>eusm7<9->eusm10}{}\DeclareFontShape{U}{eus}{b}{n}{<-7>eusb5<7-9>eusb7<9->eusb10}{}\DeclareMathAlphabet{\mathcal} {U}{eus}{m}{n}\SetMathAlphabet{\mathcal}{bold}{U}{eus}{b}{n}\DeclareMathAlphabet{\mathbcal} {U}{eus}{b}{n}
\fi
\ifx\mathcal c\let\mathcal\relax\DeclareMathAlphabet{\mathcal} {OMS}{cmsy}{m}{n}\SetMathAlphabet{\mathcal}{bold}{OMS}{cmsy}{b}{n}\DeclareMathAlphabet{\mathbcal} {OMS}{cmsy}{b}{n}
\fi
\ifx\mathcal a\let\mathcal\relax\DeclareRobustCommand*{\mathcal}[1]{{\MTPsetupScript\MTPScript{#1}}}\DeclareRobustCommand*{\mathbcal}[1]{{\MTPsetupScript\MTPbScript{#1}}}
\fi
\ifx\mathcal u\let\mathcal\relax\DeclareRobustCommand*{\mathcal}[1]{{\MTPsetupCurly\MTPCurly{#1}}}\def\mathbcal{\PackageError{mtpro2}{There is no bold variant of the Curly font}{Type <return> to proceed; \protect\mathbcal\space will be ignored.}}
\fi
\ifx\mathfrak e\let\mathfrak\relax\DeclareFontFamily{U}{euf}{}%\DeclareFontShape{U}{euf}{m}{n}{<-7>eufm5<7-9>eufm7<9->eufm10}{}%\DeclareFontShape{U}{euf}{b}{n}{<-7>eufb5<7-9>eufb7<9->eufb10}{}%\DeclareMathAlphabet{\mathfrak}{U}{euf}{m}{n}\SetMathAlphabet{\mathfrak}{bold}{U}{euf}{b}{n}
\fi
\ifx\mathfrak a\DeclareRobustCommand*{\mathfrak}[1]{{\MTPsetupFrak\MTPFrak{#1}}}
\fi
\ifmtp@full
\DeclareMathSymbol{\imath}{\mathalpha}{letters}{"7B}
\DeclareMathSymbol{\jmath}{\mathalpha}{letters}{"7C}
\newcommand{\altC}{%\PackageWarning{mtpro2}{Invalid use of \protect\altC}C}
\newcommand{\altG}{%\PackageWarning{mtpro2}{Invalid use of \protect\altG}G}
\newcommand{\altL}{%\PackageWarning{mtpro2}{Invalid use of \protect\altL}L}
\newcommand{\altM}{%\PackageWarning{mtpro2}{Invalid use of \protect\altM}M}
\newcommand{\altN}{%\PackageWarning{mtpro2}{Invalid use of \protect\altN}N}
\newcommand{\altQ}{%\PackageWarning{mtpro2}{Invalid use of \protect\altQ}Q}
\newcommand{\altS}{%\PackageWarning{mtpro2}{Invalid use of \protect\altS}S}
\newcommand{\altY}{%\PackageWarning{mtpro2}{Invalid use of \protect\altY}Y}
\newcommand{\altZ}{%\PackageWarning{mtpro2}{Invalid use of \protect\altZ}Z}
\newcommand{\altr}{%\PackageWarning{mtpro2}{Invalid use of \protect\altr}r}
\newcommand{\altx}{%\PackageWarning{mtpro2}{Invalid use of \protect\altx}x}
\newcommand{\alty}{%\PackageWarning{mtpro2}{Invalid use of \protect\alty}y}
\newcommand{\altz}{%\PackageWarning{mtpro2}{Invalid use of \protect\altz}z}
\newcommand{\MTPsetupScript}{%\let\altC=\MTP@C\let\altG=\MTP@G\let\altL=\MTP@L\let\altQ=\MTP@Q\let\altS=\MTP@S\let\altY=\MTP@Y\let\altZ=\MTP@Z\let\altr=\MTP@r\let\altz=\MTP@z}
\newcommand{\MTPsetupFrak}{%\let\altY=\MTP@Y\let\altx=\MTP@x\let\alty=\MTP@y}
\newcommand{\MTPsetupCurly}{%\let\altG=\MTP@G\let\altM=\MTP@M\let\altN=\MTP@N\let\altQ=\MTP@Q\let\altY=\MTP@Y}
\DeclareMathSymbol{\MTP@C}{\mathalpha}{letters}{'003}
\DeclareMathSymbol{\MTP@G}{\mathalpha}{letters}{'007}
\DeclareMathSymbol{\MTP@L}{\mathalpha}{letters}{'014}
\DeclareMathSymbol{\MTP@M}{\mathalpha}{letters}{'015}
\DeclareMathSymbol{\MTP@N}{\mathalpha}{letters}{'016}
\DeclareMathSymbol{\MTP@Q}{\mathalpha}{letters}{'021}
\DeclareMathSymbol{\MTP@S}{\mathalpha}{letters}{'023}
\DeclareMathSymbol{\MTP@Y}{\mathalpha}{letters}{'031}
\DeclareMathSymbol{\MTP@Z}{\mathalpha}{letters}{'032}
\DeclareMathSymbol{\MTP@r}{\mathalpha}{letters}{'062}
\DeclareMathSymbol{\MTP@x}{\mathalpha}{letters}{'070}
\DeclareMathSymbol{\MTP@y}{\mathalpha}{letters}{'071}
\DeclareMathSymbol{\MTP@z}{\mathalpha}{letters}{'072}
\DeclareMathAlphabet{\MTPScript} {U}{mt2ms}{m}{it}
\SetMathAlphabet{\MTPScript}{bold}{U}{mt2ms}{b}{it}
\DeclareMathAlphabet{\MTPbScript} {U}{mt2ms}{b}{it}
\DeclareMathAlphabet{\MTPCurly}{U}{mt2ms}{m}{n}
\DeclareMathAlphabet{\MTPFrak} {U}{mt2mf}{m}{n}
\SetMathAlphabet{\MTPFrak}{bold}{U}{mt2mf}{b}{n}
\fi
\ifx\mathbb i\let\mathbb\relax\DeclareMathAlphabet{\mathbb} {U}{mt2bb}{m}{it}
\fi
\ifx\mathbb j\let\mathbb\relax\DeclareMathAlphabet{\mathbb} {U}{mt2hrb}{m}{it}
\fi
\ifx\mathbb b\let\mathbb\relax\DeclareMathAlphabet{\mathbb} {U}{mt2bb}{m}{n}\SetMathAlphabet{\mathbb}{bold}{U}{mt2bb}{b}{n}
\fi
\ifx\mathbb d\let\mathbb\relax\DeclareMathAlphabet{\mathbb} {U}{mt2bb}{b}{n}
\fi
\ifx\mathbb h\let\mathbb\relax\DeclareMathAlphabet{\mathbb} {U}{mt2hrb}{m}{n}\SetMathAlphabet{\mathbb}{bold}{U}{mt2hrb}{b}{n}
\fi
\ifx\mathbb k\let\mathbb\relax\DeclareMathAlphabet{\mathbb} {U}{mt2hrb}{b}{n}
\fi
\ifx\mathbb y\let\mathbb\relax\DeclareFontFamily{U}{msb}{}%\DeclareFontShape{U}{msb}{m}{n}{<-7>msbm5<7-9>msbm7<9->msbm10}{}%\DeclareMathAlphabet{\mathbb}{U}{msb}{m}{n}
\fi
\DeclareMathSymbol{0}{\mathalpha}{letters}{"30}
\DeclareMathSymbol{1}{\mathalpha}{letters}{"31}
\DeclareMathSymbol{2}{\mathalpha}{letters}{"32}
\DeclareMathSymbol{3}{\mathalpha}{letters}{"33}
\DeclareMathSymbol{4}{\mathalpha}{letters}{"34}
\DeclareMathSymbol{5}{\mathalpha}{letters}{"35}
\DeclareMathSymbol{6}{\mathalpha}{letters}{"36}
\DeclareMathSymbol{7}{\mathalpha}{letters}{"37}
\DeclareMathSymbol{8}{\mathalpha}{letters}{"38}
\DeclareMathSymbol{9}{\mathalpha}{letters}{"39}
\DeclareMathSymbol{!}{\mathclose}{letters}{"8A}
\DeclareMathSymbol{+}{\mathbin}{symbols}{67}
\DeclareMathSymbol{:}{\mathrel}{symbols}{"57}
\DeclareMathSymbol{;}{\mathpunct}{symbols}{"49}
\DeclareMathSymbol{?}{\mathclose}{letters}{"8B}
\DeclareMathSymbol{=}{\mathrel}{symbols}{"44}
\DeclareMathDelimiter{(}{\mathopen}{letters}{46}{largesymbols}{0}
\DeclareMathDelimiter{)}{\mathclose}{letters}{47}{largesymbols}{1}
\DeclareMathDelimiter{[}{\mathopen} {letters}{140}{largesymbols}{"02}
\DeclareMathDelimiter{]}{\mathclose}{letters}{141}{largesymbols}{"03}
\DeclareMathDelimiter{/}{\mathord}{letters}{"3D}{largesymbols}{"0E}
\ifmtp@greekalpha\DeclareMathSymbol{\alpha}{\mathalpha}{letters}{"0B}\DeclareMathSymbol{\beta}{\mathalpha}{letters}{"0C}\DeclareMathSymbol{\gamma}{\mathalpha}{letters}{"0D}\DeclareMathSymbol{\delta}{\mathalpha}{letters}{"0E}\DeclareMathSymbol{\epsilon}{\mathalpha}{letters}{"0F}\DeclareMathSymbol{\zeta}{\mathalpha}{letters}{"10}\DeclareMathSymbol{\eta}{\mathalpha}{letters}{"11}\DeclareMathSymbol{\theta}{\mathalpha}{letters}{"12}\DeclareMathSymbol{\iota}{\mathalpha}{letters}{"13}\DeclareMathSymbol{\kappa}{\mathalpha}{letters}{"14}\DeclareMathSymbol{\lambda}{\mathalpha}{letters}{"15}\DeclareMathSymbol{\mu}{\mathalpha}{letters}{"16}\DeclareMathSymbol{\nu}{\mathalpha}{letters}{"17}\DeclareMathSymbol{\xi}{\mathalpha}{letters}{"18}\DeclareMathSymbol{\pi}{\mathalpha}{letters}{"19}\DeclareMathSymbol{\rho}{\mathalpha}{letters}{"1A}\DeclareMathSymbol{\sigma}{\mathalpha}{letters}{"1B}\DeclareMathSymbol{\tau}{\mathalpha}{letters}{"1C}\DeclareMathSymbol{\upsilon}{\mathalpha}{letters}{"1D}\DeclareMathSymbol{\phi}{\mathalpha}{letters}{"1E}\DeclareMathSymbol{\chi}{\mathalpha}{letters}{"1F}\DeclareMathSymbol{\psi}{\mathalpha}{letters}{"20}\DeclareMathSymbol{\omega}{\mathalpha}{letters}{"21}\DeclareMathSymbol{\varepsilon}{\mathalpha}{letters}{"22}\DeclareMathSymbol{\vartheta}{\mathalpha}{letters}{"23}\DeclareMathSymbol{\varpi}{\mathalpha}{letters}{"24}\DeclareMathSymbol{\varrho}{\mathalpha}{letters}{"25}\DeclareMathSymbol{\varsigma}{\mathalpha}{letters}{"26}\DeclareMathSymbol{\varphi}{\mathalpha}{letters}{"27}\DeclareMathSymbol{\varkappa}{\mathalpha}{letters}{126}% new\DeclareMathSymbol{\varbeta}{\mathalpha}{letters}{176} % new\DeclareMathSymbol{\vardelta}{\mathalpha}{letters}{178}% new
\else\DeclareMathSymbol{\varkappa}{\mathord}{letters}{126}% new\DeclareMathSymbol{\varbeta}{\mathord}{letters}{176} % new\DeclareMathSymbol{\vardelta}{\mathord}{letters}{178}% new
\fi
\ifx\Gamma s\let\Gamma\@undefined\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}
\else\let\Gamma\@undefined\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"80}\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"81}\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"82}\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"83}\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"84}\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"85}\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"86}\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"87}\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"88}\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"89}\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"7F}
\fi\DeclareMathSymbol{\upGamma}{\mathord}{letters}{"80}\DeclareMathSymbol{\upDelta}{\mathord}{letters}{"81}\DeclareMathSymbol{\upTheta}{\mathord}{letters}{"82}\DeclareMathSymbol{\upLambda}{\mathord}{letters}{"83}\DeclareMathSymbol{\upXi}{\mathord}{letters}{"84}\DeclareMathSymbol{\upPi}{\mathord}{letters}{"85}\DeclareMathSymbol{\upSigma}{\mathord}{letters}{"86}\DeclareMathSymbol{\upUpsilon}{\mathord}{letters}{"87}\DeclareMathSymbol{\upPhi}{\mathord}{letters}{"88}\DeclareMathSymbol{\upPsi}{\mathord}{letters}{"89}\DeclareMathSymbol{\upOmega}{\mathord}{letters}{"7F}\DeclareMathSymbol{\upalpha}{\mathord}{letters}{"92}\DeclareMathSymbol{\upbeta}{\mathord}{letters}{"93}\DeclareMathSymbol{\upgamma}{\mathord}{letters}{"94}\DeclareMathSymbol{\updelta}{\mathord}{letters}{"95}\DeclareMathSymbol{\upepsilon}{\mathord}{letters}{"96}\DeclareMathSymbol{\upzeta}{\mathord}{letters}{"97}\DeclareMathSymbol{\upeta}{\mathord}{letters}{"98}\DeclareMathSymbol{\uptheta}{\mathord}{letters}{"99}\DeclareMathSymbol{\upiota}{\mathord}{letters}{"9A}\DeclareMathSymbol{\upkappa}{\mathord}{letters}{"9B}\DeclareMathSymbol{\uplambda}{\mathord}{letters}{"9C}\DeclareMathSymbol{\upmu}{\mathord}{letters}{"9D}\DeclareMathSymbol{\upnu}{\mathord}{letters}{"9E}\DeclareMathSymbol{\upxi}{\mathord}{letters}{"9F}\DeclareMathSymbol{\uppi}{\mathord}{letters}{160}\DeclareMathSymbol{\uprho}{\mathord}{letters}{161}\DeclareMathSymbol{\upsigma}{\mathord}{letters}{162}\DeclareMathSymbol{\uptau}{\mathord}{letters}{163}\DeclareMathSymbol{\upupsilon}{\mathord}{letters}{164}\DeclareMathSymbol{\upphi}{\mathord}{letters}{165}\DeclareMathSymbol{\upchi}{\mathord}{letters}{166}\DeclareMathSymbol{\uppsi}{\mathord}{letters}{167}\DeclareMathSymbol{\upomega}{\mathord}{letters}{168}\DeclareMathSymbol{\upvarepsilon}{\mathord}{letters}{169}\DeclareMathSymbol{\upvartheta}{\mathord}{letters}{170}\DeclareMathSymbol{\upvarpi}{\mathord}{letters}{171}\DeclareMathSymbol{\upvarrho}{\mathord}{letters}{172}\DeclareMathSymbol{\upvarsigma}{\mathord}{letters}{173}\DeclareMathSymbol{\upvarphi}{\mathord}{letters}{174}\DeclareMathSymbol{\upvarkappa}{\mathord}{letters}{175}\DeclareMathSymbol{\upvarbeta}{\mathord}{letters}{177}\DeclareMathSymbol{\upvardelta}{\mathord}{letters}{179}
\DeclareMathSymbol{\triangleleft}{\mathbin}{symbols}{"47}
\DeclareMathSymbol{\triangleright}{\mathbin}{symbols}{"46}
\DeclareMathSymbol{\ddagger}{\mathbin}{letters}{"8F}
\DeclareMathSymbol{\dagger}{\mathbin}{letters}{"8E}
\let\Relbar\@undefined
\DeclareMathSymbol{\Relbar}{\mathrel}{symbols}{"48}
\DeclareMathSymbol{\ldotp}{\mathpunct}{letters}{"3A}
\let\colon\@undefined % for amsmath!
\DeclareMathSymbol{\colon}{\mathpunct}{symbols}{"57}
\@ifpackageloaded{mathdots}{}{%\newcommand\hb@xmdot{\hbox{$\m@th.$}}\def\vdots{\vbox{\baselineskip4\p@ \lineskiplimit\z@\kern6\p@\hb@xmdot\hb@xmdot\hb@xmdot}}\def\ddots{\mathinner{\mkern1mu\raise7\p@\vbox{\kern7\p@\hb@xmdot}\mkern2mu\raise4\p@\hb@xmdot\mkern2mu\raise\p@\hb@xmdot\mkern1mu}}
}
\DeclareMathAccent{\vec}{\mathord}{symbols}{69}
\DeclareMathAccent{\grave}{\mathord}{symbols}{74}
\DeclareMathAccent{\acute}{\mathord}{symbols}{75}
\DeclareMathAccent{\check}{\mathord}{symbols}{76}
\DeclareMathAccent{\breve}{\mathord}{symbols}{77}
\DeclareMathAccent{\bar}{\mathord}{symbols}{78}
\DeclareMathAccent{\hat}{\mathord}{symbols}{79}
\DeclareMathAccent{\dot}{\mathord}{symbols}{80}
\DeclareMathAccent{\tilde}{\mathord}{symbols}{81}
\DeclareMathAccent{\ddot}{\mathord}{symbols}{82}
\DeclareMathAccent{\mathring}{\mathord}{symbols}{86}
\DeclareMathSymbol{\braceld}{\mathord}{largesymbols}{"82}
\DeclareMathSymbol{\bracerd}{\mathord}{largesymbols}{"83}
\DeclareMathSymbol{\bracelu}{\mathord}{largesymbols}{"84}
\DeclareMathSymbol{\braceru}{\mathord}{largesymbols}{"85}
\DeclareMathSymbol{\mathparagraph}{\mathord}{letters}{"91}
\DeclareMathSymbol{\mathsection}{\mathord}{letters}{"90}
\DeclareMathSymbol{\slsumop}{\mathop}{largesymbols}{160}
\DeclareMathSymbol{\slprodop}{\mathop}{largesymbols}{162}
\DeclareMathSymbol{\slcoprodop}{\mathop}{largesymbols}{164}
\DeclareMathSymbol{\upsumop}{\mathop}{largesymbols}{"50}
\DeclareMathSymbol{\upprodop}{\mathop}{largesymbols}{"51}
\DeclareMathSymbol{\upcoprodop}{\mathop}{largesymbols}{"60}
\DeclareMathSymbol{\openclubsuit}{\mathord}{symbols}{"80}
\DeclareMathSymbol{\shadedclubsuit}{\mathord}{symbols}{"81}
\DeclareMathSymbol{\openspadesuit}{\mathord}{symbols}{"82}
\DeclareMathSymbol{\shadedspadesuit}{\mathord}{symbols}{"83}
\DeclareMathSymbol{\hslash}{\mathord}{symbols}{175}
\DeclareMathSymbol{\digamma}{\mathord}{symbols}{177}
\DeclareMathSymbol{\dbar}{\mathord}{letters}{181}
\DeclareMathSymbol{\updbar}{\mathord}{letters}{182}
\DeclareMathSymbol{\comp}{\mathbin}{symbols}{66}
\DeclareMathSymbol{\setdif}{\mathbin}{symbols}{88}
\DeclareMathSymbol{\cupprod}{\mathbin}{symbols}{89}
\DeclareMathSymbol{\capprod}{\mathbin}{symbols}{90}
\DeclareMathSymbol{\simarrow}{\mathrel}{symbols}{176}
\DeclareMathSymbol{\varland}{\mathbin}{symbols}{178}
\DeclareMathSymbol{\contraction}{\mathbin}{symbols}{179}
\DeclareMathSymbol{\coloneq}{\mathrel}{symbols}{180}
\DeclareMathSymbol{\eqcolon}{\mathrel}{symbols}{181}
\DeclareMathSymbol{\hateq}{\mathrel}{symbols}{182}
\DeclareMathSymbol{\circdashbullet}{\mathrel}{symbols}{183}
\DeclareMathSymbol{\bulletdashcirc}{\mathrel}{symbols}{184}
\DeclareMathSymbol{\bigcupprod}{\mathop}{largesymbols}{"8E}
\DeclareMathSymbol{\bigcapprod}{\mathop}{largesymbols}{"90}
\DeclareMathSymbol{\bigvarland}{\mathop}{largesymbols}{166}
\DeclareMathSymbol{\bigast}{\mathop}{largesymbols}{168}
\DeclareMathAccent{\dotup}{\mathord}{symbols}{"54}
\DeclareMathAccent{\ddotup}{\mathord}{symbols}{"55}
\DeclareMathAccent{\dddotup}{\mathord}{symbols}{173}
\DeclareMathAccent{\ddddotup}{\mathord}{symbols}{174}
\let\oacc\mathring
\DeclareMathAccent{\what} {\mathord}{symbols}{"79}
\DeclareMathAccent{\wtilde}{\mathord}{symbols}{"7A}
\DeclareMathAccent{\wcheck}{\mathord}{symbols}{"7B}
\DeclareMathAccent{\wbar} {\mathord}{symbols}{"78}
\DeclareMathAccent{\wwhat} {\mathord}{largesymbols}{"80}
\DeclareMathAccent{\wwtilde}{\mathord}{largesymbols}{"81}
\DeclareMathAccent{\wwcheck}{\mathord}{largesymbols}{"7D}
\DeclareMathAccent{\wwbar} {\mathord}{symbols} {"53}
\DeclareMathSymbol{\hbar} {\mathord}{symbols}{"84}
\let\notin\@undefined
\DeclareMathSymbol{\notin} {\mathrel}{symbols}{"85}
\let\angle\@undefined
\DeclareMathSymbol{\angle} {\mathord}{symbols}{"86}
\let\models\@undefined
\DeclareMathSymbol{\models}{\mathrel}{symbols}{"88}
\let\bowtie\@undefined
\DeclareMathSymbol{\bowtie}{\mathrel}{symbols}{"89}
\let\cong\@undefined
\DeclareMathSymbol{\cong} {\mathrel}{symbols}{"8A}
\let\Longleftrightarrow\@undefined
\DeclareMathSymbol{\Longleftrightarrow} {\mathrel}{symbols}{"94}
\let\rightleftharpoons\@undefined
\DeclareMathSymbol{\rightleftharpoons} {\mathrel}{symbols}{"95}
\DeclareMathSymbol{\notless} {\mathrel}{symbols}{"96}
\DeclareMathSymbol{\notleq} {\mathrel}{symbols}{"97}
\DeclareMathSymbol{\notprec} {\mathrel}{symbols}{"98}
\DeclareMathSymbol{\notpreceq} {\mathrel}{symbols}{"99}
\DeclareMathSymbol{\notsubset} {\mathrel}{symbols}{"9A}
\DeclareMathSymbol{\notsubseteq} {\mathrel}{symbols}{"9B}
\DeclareMathSymbol{\notsqsubseteq} {\mathrel}{symbols}{"9C}
\DeclareMathSymbol{\notgr} {\mathrel}{symbols}{"9D}
\DeclareMathSymbol{\notgeq} {\mathrel}{symbols}{"9E}
\DeclareMathSymbol{\notsucc} {\mathrel}{symbols}{"9F}
\DeclareMathSymbol{\notsucceq} {\mathrel}{symbols}{160}
\DeclareMathSymbol{\notsupset} {\mathrel}{symbols}{161}
\DeclareMathSymbol{\notsupseteq} {\mathrel}{symbols}{162}
\DeclareMathSymbol{\notsqsupseteq} {\mathrel}{symbols}{163}
\let\neq\@undefined
\DeclareMathSymbol{\neq} {\mathrel}{symbols}{164}
\let\ne=\neq
\DeclareMathSymbol{\notequiv} {\mathrel}{symbols}{165}
\DeclareMathSymbol{\notsim} {\mathrel}{symbols}{166}
\DeclareMathSymbol{\notsimeq} {\mathrel}{symbols}{167}
\DeclareMathSymbol{\notapprox} {\mathrel}{symbols}{168}
\DeclareMathSymbol{\notcong} {\mathrel}{symbols}{169}
\DeclareMathSymbol{\notasymp} {\mathrel}{symbols}{170}
\let\nless=\notless
\let\nleq=\notleq
\let\nprec=\notprec
\let\npreceq=\notpreceq
\let\nsubset=\notsubset
\let\nsubseteq=\notsubseteq
\let\nsqsubseteq=\notsqsubseteq
\let\ngtr=\notgr
\let\ngeq=\notgeq
\let\nsucc=\notsucc
\let\nsucceq=\notsucceq
\let\nsupset=\notsupset
\let\nsupseteq=\notsupseteq
\let\nsqsupseteq=\notsqsupseteq
\let\ncong=\notcong
\let\nasymp=\notasymp
\let\nequiv=\notequiv
\let\nsimeq=\notsimeq
\let\napprox=\notapprox
\@ifpackageloaded{amsmath}{}{%\let\doteq\@undefined\let\hookleftarrow\@undefined\let\hookrightarrow\@undefined\let\longleftarrow\@undefined\let\longrightarrow\@undefined\let\Longleftarrow\@undefined\let\Longrightarrow\@undefined\let\mapsto\@undefined\let\longmapsto\@undefined\let\longleftrightarrow\@undefined\DeclareMathSymbol{\doteq} {\mathrel}{symbols}{"87}\DeclareMathSymbol{\hookleftarrow} {\mathrel}{symbols}{"8B}\DeclareMathSymbol{\hookrightarrow}{\mathrel}{symbols}{"8C}\DeclareMathSymbol{\longleftarrow} {\mathrel}{symbols}{"8D}\DeclareMathSymbol{\longrightarrow}{\mathrel}{symbols}{"8E}\DeclareMathSymbol{\Longleftarrow} {\mathrel}{symbols}{"8F}\DeclareMathSymbol{\Longrightarrow}{\mathrel}{symbols}{"90}\DeclareMathSymbol{\mapsto} {\mathrel}{symbols}{"91}\DeclareMathSymbol{\longmapsto}{\mathrel}{symbols}{"92}\DeclareMathSymbol{\longleftrightarrow} {\mathrel}{symbols}{"93}
}
\DeclareMathSymbol{\iintop}{\mathop}{largesymbols}{"92}
\DeclareMathSymbol{\iiintop}{\mathop}{largesymbols}{"94}
\DeclareMathSymbol{\oiintop}{\mathop}{largesymbols}{"96}
\DeclareMathSymbol{\oiiintop}{\mathop}{largesymbols}{"98}
\DeclareMathSymbol{\cwointop}{\mathop}{largesymbols}{"9A}
\DeclareMathSymbol{\awointop}{\mathop}{largesymbols}{"9C}
\DeclareMathSymbol{\cwintop}{\mathop}{largesymbols}{"9E}
\DeclareMathSymbol{\barintop}{\mathop}{largesymbols}{170}
\DeclareMathSymbol{\slashintop}{\mathop}{largesymbols}{172}
\AtBeginDocument{%\@ifpackageloaded{amsmath}{%\let\Relbar\@undefined\DeclareMathSymbol{\Relbar}{\mathrel}{symbols}{"48}\def\accentclass@{0}\def\iint{\DOTSI\iintop\ilimits@}\def\iiint{\DOTSI\iiintop\ilimits@}\def\oiint{\DOTSI\oiintop\ilimits@}\def\oiiint{\DOTSI\oiiintop\ilimits@}\def\cwoint{\DOTSI\cwointop\ilimits@}\def\awoint{\DOTSI\awointop\ilimits@}\def\cwint{\DOTSI\cwintop\ilimits@}\def\barint{\DOTSI\barintop\ilimits@}\def\slashint{\DOTSI\slashintop\ilimits@}\gdef\slsum{\DOTSB\slsumop\slimits@}\gdef\slprod{\DOTSB\slprodop\slimits@}\gdef\slcoprod{\DOTSB\slcoprodop\slimits@}\gdef\upsum{\DOTSB\upsumop\slimits@}\gdef\upprod{\DOTSB\upprodop\slimits@}\gdef\upcoprod{\DOTSB\upcoprodop\slimits@}}{%\def\iint{\iintop\nolimits}\def\iiint{\iiintop\nolimits}\def\oiint{\oiintop\nolimits}\def\oiiint{\oiiintop\nolimits}\def\cwoint{\cwointop\nolimits}\def\awoint{\awointop\nolimits}\def\cwint{\cwintop\nolimits}\def\barint{\barintop\nolimits}\def\slashint{\slashintop\nolimits}\let\slsum\slsumop\let\slprod\slprodop\let\slcoprod\slcoprodop\let\upsum\upsumop\let\upprod\upprodop\let\upcoprod\upcoprodop}%\ifmtp@slops\let\sum\slsum\let\prod\slprod\let\coprod\slcoprod\else\let\sum\upsum\let\prod\upprod\let\coprod\upcoprod\fi\let\dddot\@undefined\let\ddddot\@undefined\DeclareMathAccent{\dddot}{\mathord}{symbols}{171}\DeclareMathAccent{\ddddot}{\mathord}{symbols}{172}
}
\newbox\prePbox@
\newbox\Pbox@
\newif\ifPEX@
\def\PEX@#1{\setbox\Pbox@\vbox{$$\left.\vcenter{\copy\prePbox@}\right)$$}%\setbox\Pbox@\vbox{\unvbox\Pbox@\unskip\unpenalty\setbox\Pbox@\lastbox\setbox\Pbox@\hbox{\unhbox\Pbox@\setbox\Pbox@\lastbox\setbox\Pbox@\hbox{\unhbox\Pbox@\setbox\Pbox@\lastbox\setbox\z@\hbox{#1}%\ifdim\dp\Pbox@>\dp\z@\global\PEX@true\else\global\PEX@false\fi}}}}
\def\EXtest@#1{\setbox\prePbox@\hbox{$\displaystyle{#1}$}%\PEX@{\MTEXA@\char32}%\ifPEX@{\textfont3=\MTEXE@\PEX@{\MTEXE@\char12}}%\ifPEX@{\textfont3=\MTEXF@\PEX@{\MTEXF@\char12}}%\ifPEX@\def\EXtest@@{\textfont3=\MTEXG@}%\else\def\EXtest@@{\textfont3=\MTEXF@}%\fi\else\def\EXtest@@{\textfont3=\MTEXE@}%\fi\else\def\EXtest@@{\textfont3=\MTEXA@}%\fi}
\def\vc@nt@r#1{\hbox{$\vcenter{\hbox{$\displaystyle{#1}$}}$}}
\newbox\LRbox@
\def\LEFTRIGHT@#1#2#3{\setbox\LRbox@\vc@nt@r{#3}%\EXtest@{\vc@nt@r{#3}}%\vcenter{\hbox{\def\lcbrace{\delimiter"4266308 }%\def\rcbrace{\delimiter"5267309 }%\EXtest@@$\displaystyle\left#1\box\LRbox@\right#2$}}}%
\def\PARENS#1{\LEFTRIGHT@(){#1}}%
\def\lcbrace{lcbr@ce}%
\def\rcbrace{rcbr@ce}%
\newif\ifspecdelim@
\def\specdelim@#1{\ifx#1(\specdelim@true\else\ifx#1)\specdelim@true\else\ifx#1<\specdelim@true\else\ifx#1\langle\specdelim@true\else\ifx#1>\specdelim@true\else\ifx#1\rangle\specdelim@true\else\ifx#1/\specdelim@true\else\ifx#1\backslash\specdelim@true\else\ifx#1\lcbrace\specdelim@true\else\ifx#1\rcbrace\specdelim@true\else\specdelim@false\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}
\def\LEFTRIGHT#1#2#3{%\specdelim@#1%\ifspecdelim@\LEFTRIGHT@#1.{\vc@nt@r{#3}}%\else\left#1\vc@nt@r{#3}%\right.%\fi\kern-2\nulldelimiterspace\mskip-\thinmuskip\specdelim@#2%\ifspecdelim@\LEFTRIGHT@.#2{\vphantom{\vc@nt@r{#3}}}%\else\left.%\vphantom{\vc@nt@r{#3}}%\right#2%\fi}
\def\vcorrection#1{\vrule width\z@ height#1\relax}
\newcommand{\ccases}[1]{{%\def\arraystretch{1.2}%\LEFTRIGHT\lcbrace.{\,\array{@{}l@{\quad}l@{}}#1\endarray}%
}}
\newbox\HATbox@
\def\widehat{\mathpalette\@widehat}
\def\@widehat#1#2{\setbox\HATbox@\hbox{$#1{#2}$}%
\setbox0\hbox{\MTEXF@;}%
\ifdim\wd\HATbox@>\wd0
\def\HAT@{\textfont3=\MTEXG@}%
\else
\setbox0\hbox{\MTEXE@9}%
\ifdim\wd\HATbox@>\wd0
\def\HAT@{\textfont3=\MTEXF@}%
\else
\setbox0\hbox{\MTEXA@ d}%
\ifdim\wd\HATbox@>\wd0
\def\HAT@{\textfont3=\MTEXE@}%
\else
\def\HAT@{\textfont3=\MTEXA@}%
\fi
\fi
\fi
\hbox{\HAT@$\mathaccent"0362 {#1{#2}}$}}%
\newbox\TDbox@
\def\widetilde{\mathpalette\@widetilde}
\def\@widetilde#1#2{\setbox\TDbox@\hbox{$#1{#2}$}%
\setbox0\hbox{\MTEXF@ K}%
\ifdim\wd\TDbox@>\wd0
\def\TD@{\textfont3=\MTEXG@}%
\else
\setbox0\hbox{\MTEXE@ I}%
\ifdim\wd\TDbox@>\wd0
\def\TD@{\textfont3=\MTEXF@}%
\else
\setbox0\hbox{\MTEXA@ d}%
\ifdim\wd\TDbox@>\wd0
\def\TD@{\textfont3=\MTEXE@}%
\else
\def\TD@{\textfont3=\MTEXA@}%
\fi
\fi
\fi
\hbox{\TD@$\mathaccent"0365 {#1{#2}}$}}
\newbox\CHbox@
\def\widecheck{\mathpalette\@widecheck}
\def\@widecheck#1#2{\setbox\CHbox@\hbox{$#1{#2}$}%
\setbox0\hbox{\MTEXF@[}%
\ifdim\wd\CHbox@>\wd0
\def\CHECK@{\textfont3=\MTEXG@}%
\else
\setbox0\hbox{\MTEXE@ Y}%
\ifdim\wd\CHbox@>\wd0
\def\CHECK@{\textfont3=\MTEXF@}%
\else
\setbox0\hbox{\MTEXA@ z}%
\ifdim\wd\CHbox@>\wd0
\def\CHECK@{\textfont3=\MTEXE@}%
\else
\def\CHECK@{\textfont3=\MTEXA@}%
\fi
\fi
\fi
\hbox{\CHECK@$\mathaccent"037A {#1{#2}}$}}%
\def\widehatdown#1#2{\setbox\HATbox@\hbox{$\displaystyle{#2}$}%\setbox\z@\hbox{\MTEXF@;}%\ifdim\wd\HATbox@>\wd\z@\def\HAT@{\textfont3=\MTEXG@}%\else\setbox\z@\hbox{\MTEXE@9}%\ifdim\wd\HATbox@>\wd\z@\def\HAT@{\textfont3=\MTEXF@}%\else\setbox\z@\hbox{\MTEXA@ d}%\ifdim\wd\HATbox@>\wd\z@\def\HAT@{\textfont3=\MTEXE@}%\else\def\HAT@{\textfont3=\MTEXA@}%\fi\fi\fi\dimen@\ht\HATbox@\advance\dimen@-#1\relax\ht\HATbox@\dimen@\hbox{\HAT@$\mathaccent"0362 {\box\HATbox@}$}}%
\def\widetildedown#1#2{\setbox\TDbox@\hbox{$\displaystyle{#2}$}%\setbox\z@\hbox{\MTEXF@ K}%\ifdim\wd\TDbox@>\wd\z@\def\TD@{\textfont3=\MTEXG@}%\else\setbox\z@\hbox{\MTEXE@ I}%\ifdim\wd\TDbox@>\wd\z@\def\TD@{\textfont3=\MTEXF@}%\else\setbox\z@\hbox{\MTEXA@ d}%\ifdim\wd\TDbox@>\wd\z@\def\TD@{\textfont3=\MTEXE@}%\else\def\TD@{\textfont3=\MTEXA@}%\fi\fi\fi\dimen@\ht\TDbox@\advance\dimen@-#1\relax\ht\TDbox@\dimen@\hbox{\TD@$\mathaccent"0365 {\box\TDbox@}$}}
\def\widecheckdown#1#2{\setbox\CHbox@\hbox{$\displaystyle{#2}$}%\setbox\z@\hbox{\MTEXF@[}%\ifdim\wd\CHbox@>\wd\z@\def\CHECK@{\textfont3=\MTEXG@}%\else\setbox\z@\hbox{\MTEXE@ Y}%\ifdim\wd\CHbox@>\wd\z@\def\CHECK@{\textfont3=\MTEXF@}%\else\setbox\z@\hbox{\MTEXA@ z}%\ifdim\wd\CHbox@>\wd\z@\def\CHECK@{\textfont3=\MTEXE@}%\else\def\CHECK@{\textfont3=\MTEXA@}%\fi\fi\fi\dimen@\ht\CHbox@\advance\dimen@-#1\relax\ht\CHbox@\dimen@\hbox{\CHECK@$\mathaccent"037A {\box\CHbox@}$}}%
\newbox\preSbox@
\newbox\Sbox@
\newif\ifSQEX@
\def\SQEX@#1{\setbox\Sbox@\vbox{$$\radical"270370{\copy\preSbox@}$$}%
\setbox\Sbox@\vbox{\unvbox\Sbox@\unskip\unpenalty
\setbox\Sbox@\lastbox\setbox\Sbox@\hbox{\unhbox\Sbox@\setbox\Sbox@\lastbox
\setbox\Sbox@\hbox{\unhbox\Sbox@\setbox\Sbox@\lastbox\setbox\Sbox@\lastbox
\setbox0\hbox{#1}%
\ifdim\dp\Sbox@>\dp0\global\SQEX@true\else
\global\SQEX@false\fi}}}}
\newcount\SQcount@
\def\SQtest@#1{\setbox\preSbox@\hbox{$\displaystyle{#1}$}%
\SQEX@{\MTEXA@ s}%
\ifSQEX@
{\textfont3=\MTEXE@\SQEX@{\MTEXE@ u}}%
\ifSQEX@
{\textfont3=\MTEXF@\SQEX@{\MTEXF@ u}}%
\ifSQEX@
\def\SQtest@@{\textfont3=\MTEXG@}\global\SQcount@3
\else
\def\SQtest@@{\textfont3=\MTEXF@}\global\SQcount@2
\fi
\else
\def\SQtest@@{\textfont3=\MTEXE@}\global\SQcount@1
\fi
\else
\def\SQtest@@{\textfont3=\MTEXA@}\global\SQcount@0
\fi}
\newbox\SQRTbox@
\def\SQR@@T#1{\setbox\SQRTbox@\hbox{$\displaystyle{#1}$}%
\SQtest@{#1}%
\hbox{\SQtest@@$\displaystyle\radical"270370{\box\SQRTbox@}$}}
\newcount\UPROOT@
\newcount\LEFTROOT@
\def\LEFTROOT#1{\relax\ifmmode\LEFTROOT@#1\relax\else\PackageError{mtpro2}{\protect\LEFTROOT\space allowed only in math mode}{Type <return> to proceed; the command will be ignored.}\fi}
\def\UPROOT#1{\relax\ifmmode\UPROOT@#1\relax\else\PackageError{mtpro2}{\protect\UPROOT\space allowed only in math mode}{Type <return> to proceed; the command will be ignored.}\fi}
\def\ROOT#1\OF#2{\setbox\rootbox\hbox{$\m@th\scriptscriptstyle{#1}$}%
\mathpalette\R@@T{#2}}
\def\R@@T#1#2{\setbox\z@\hbox{$\UPROOT@\z@\LEFTROOT@\z@\m@th#1\SQR@@T{#2}$}%
\dimen@\ht\z@\advance\dimen@-\dp\z@
\dimen@ii\dimen@
\setbox\tw@\hbox{$\m@th#1\mskip\UPROOT@ mu$}\advance\dimen@ii by1.667\wd\tw@
\setbox\tw@\hbox{$\m@th#1\mskip10mu$}%
\ifcase\SQcount@\advance\dimen@3\wd\tw@\or\advance\dimen@1.5\wd\tw@\or
\advance\dimen@\wd\tw@\fi
\mkern1mu\kern.13\dimen@\mkern-\LEFTROOT@ mu
\raise.5\dimen@ii\copy\rootbox % was .44
\mkern-1mu\kern-.13\dimen@\mkern\LEFTROOT@ mu\box\z@\kern-\wd\rootbox
\LEFTROOT\z@\UPROOT\z@}
\DeclareRobustCommand\SQRT{\@ifnextchar[\SQRT@\SQR@@T}
\def\SQRT@[#1]{\ROOT #1\OF}
\def\space@.{\futurelet\space@\relax}
\space@. %
\def\FNSS@#1{\let\FNSS@@#1\futurelet\next\FNSS@@@}
\def\FNSS@@@{\ifx\next\space@\def\FNSS@@@@. {\futurelet\next\FNSS@@@}\else
\def\FNSS@@@@.{\FNSS@@}\fi\FNSS@@@@.}
{\catcode`\_=12
\global\let\sbxii@=_}
{\catcode`\_=8
\global\let\sbviii@=_}
\newcount\limtype@
\newcount\xlfont@
\newcount\xlposition@
\newcount\xlposition@ii
\newcount\optype@
\newcount\x@count
\def\xl{\xlposition@ii\z@\xlfont@\z@\x@count\thr@@\futurelet\next\xl@}
\def\xl@{%
\optype@\z@
\limtype@\z@
\ifx\next\bigodot\xlposition@96\else
\ifx\next\bigoplus\xlposition@97\else
\ifx\next\bigotimes\xlposition@98\else
\ifx\next\bigsqcup\xlposition@99\else
\ifx\next\bigcup\xlposition@100\else
\ifx\next\bigcap\xlposition@101\else
\ifx\next\biguplus\xlposition@102\else
\ifx\next\bigwedge\xlposition@103\else
\ifx\next\bigvee\xlposition@104\else
\ifx\next\upsum\xlposition@105\else
\ifx\next\upprod\xlposition@106\else
\ifx\next\upcoprod\xlposition@107\else
\ifx\next\bigcupprod\xlposition@110\else
\ifx\next\bigcapprod\xlposition@111\else
\ifx\next\bigvarland\xlposition@122\else
\ifx\next\bigast\xlposition@123\else
\ifx\next\slsum\optype@\@ne\xlposition@119\else
\ifx\next\slprod\optype@\@ne\xlposition@120\else
\ifx\next\slcoprod\optype@\@ne\xlposition@121\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@108\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@109\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@112\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@113\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@114\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@115\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@116\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@117\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@118\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@124\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@125\else
\PackageError{mtpro2}%{Invalid use of \protect\xl}%{\protect\xl\space can be applied to `large operators' only.}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\getxlims@{%
\let\lowerlim@\relax\let\upperlim@\relax
\ifx\next\limits
\def\next@##1{\limtype@\z@\futurelet\next\getxlims@}%
\else\ifx\next\nolimits
\def\next@##1{\limtype@\@ne\futurelet\next\getxlims@}%
\else\ifx\next\sbxii@
\def\next@##1{\getxlowerlim@}%
\else\ifx\next\sbviii@
\def\next@##1{\getxlowerlim@}%
\else\ifcat\sbviii@\noexpand\next
\def\next@##1{\getxlowerlim@}%
\else\ifcat^\noexpand\next
\def\next@##1{\getxupperlim@}%
\else
\let\next@\uselims@
\fi\fi\fi\fi\fi\fi
\next@}
\def\getxlowerlim@#1{\def\lowerlim@{#1}\FNSS@\getxupperlim@@}
\def\getxupperlim@#1{\def\upperlim@{#1}\FNSS@\getxlowerlim@@}
\def\getxupperlim@@{%
\ifcat^\noexpand\next
\def\next@##1##2{\def\upperlim@{##2}\uselims@}%
\else
\let\next@\uselims@ % have limits now
\fi
\next@}
\def\getxlowerlim@@{%
\ifx\next\sbxii@
\def\next@##1##2{\def\lowerlim@{##2}\uselims@}%
\else\ifx\next\sbviii@
\def\next@##1##2{\def\lowerlim@{##2}\uselims@}%
\else\ifcat\sbviii@\noexpand\next
\def\next@##1##2{\def\lowerlim@{##2}\uselims@}%
\else
\let\next@\uselims@ % have limits now
\fi\fi\fi
\next@}
\def\uselims@{\ifnum\optype@=\z@\xlargeop@\else\xlargeopic@\fi}
\def\xlargeop@{%
\ifnum\limtype@=\z@
\mathop{\hbox{$\vcenter{\hbox{%
\ifnum\xlfont@=\z@\MTXL@\else\MTXXXL@\fi
\char\xlposition@\relax
\ifnum\xlposition@ii=\z@\else\char\xlposition@ii\relax\fi
}}$}}_{\lowerlim@}^{\upperlim@}%
\else
\mathop{\hbox{$\vcenter{\hbox{%
\ifnum\xlfont@=\z@\MTXL@\else\MTXXXL@\fi
\char\xlposition@\relax
\ifnum\xlposition@ii=\z@\else\char\xlposition@ii\relax\fi
}}$}}\nolimits_{\lowerlim@}^{\upperlim@}%
\fi}
\newdimen\maxXLscripts@
\def\xlargeopic@{%
\def\thecharacter@{\ifnum\xlfont@=\z@\MTXL@\else\MTXXXL@\fi\char\xlposition@\relax}%
\ifnum\limtype@=\@ne
\setbox\z@\hbox{\thecharacter@\/}%
\dimen@\wd\z@
\setbox\z@\hbox{\thecharacter@}%
\advance\dimen@-\wd\z@
\mathop{\hbox{$\vcenter{\hbox{\thecharacter@}}$}}
\nolimits_{\lowerlim@}^{\kern\dimen@\upperlim@}%
\else
\setbox\z@\hbox{\ifcase\x@count\kern\tw@\fontdimen8\MTXL@\or
\kern4\fontdimen8\MTXL@\or\kern\tw@\fontdimen8\MTXXXL@\or\kern1.7\fontdimen8\MTXL@\fi}%
\setbox\@ne\hbox{\thecharacter@}%
\setbox\tw@\hbox{$\scriptstyle{\lowerlim@}$}%
\setbox\thr@@\hbox{$\kern\wd\z@\scriptstyle{\upperlim@}$}%
\maxXLscripts@\wd\thr@@\ifdim\maxXLscripts@<\wd\tw@\maxXLscripts@\wd\tw@\fi
\dimen@ii.5\wd\tw@ \advance\dimen@ii-.5\wd\@ne
\dimen@.5\wd\thr@@ \advance\dimen@-\wd\z@ \advance\dimen@-.5\wd\@ne
\ifdim\dimen@>\z@ % if visible part of superscript extends to left of operator\ifdim\dimen@>\dimen@ii % if visible part of superscript to left of subscript\kern\dimen@\kern.5\wd\@ne\kern-.5\maxXLscripts@\else % only trim to subscript,\kern\dimen@ii\kern.5\wd\@ne\kern-.5\maxXLscripts@\fi
\else % visible part of superscript entirely to right of operator, so trim to subscript\ifdim\dimen@ii > \z@\kern\dimen@ii\kern.5\wd\@ne\kern-.5\maxXLscripts@\else\kern.5\wd\@ne\kern-.5\maxXLscripts@\fi
\fi
\setbox\@ne\hbox{\thecharacter@\/}\dimen@ii\wd\@ne
\setbox\@ne\hbox{\thecharacter@}\advance\dimen@ii-\wd\@ne
\mathop{\hbox{$\vcenter{\hbox{\thecharacter@}}$}}_{\lowerlim@}^{\kern\wd\z@\upperlim@}%
\kern\dimen@ii
\fi
}
\def\XL{\xlposition@ii\z@\xlfont@\z@\x@count\z@\futurelet\next\XL@}
\def\XL@{\optype@\z@\limtype@\z@
\ifx\next\bigodot\xlposition@0\else
\ifx\next\bigoplus\xlposition@1\else
\ifx\next\bigotimes\xlposition@2\else
\ifx\next\bigsqcup\xlposition@3\else
\ifx\next\bigcup\xlposition@4\else
\ifx\next\bigcap\xlposition@5\else
\ifx\next\biguplus\xlposition@6\else
\ifx\next\bigwedge\xlposition@7\else
\ifx\next\bigvee\xlposition@8\else
\ifx\next\upsum\xlposition@9\else
\ifx\next\upprod\xlposition@10\else
\ifx\next\upcoprod\xlposition@11\else
\ifx\next\bigcupprod\xlposition@14\else
\ifx\next\bigcapprod\xlposition@15\else
\ifx\next\bigvarland\xlposition@26\else
\ifx\next\bigast\xlposition@27\else
\ifx\next\slsum\optype@\@ne\xlposition@23\else
\ifx\next\slprod\optype@\@ne\xlposition@24\else
\ifx\next\slcoprod\optype@\@ne\xlposition@25\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@12\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@13\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@16\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@17\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@18\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@19\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@20\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@21\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@22\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@28\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@29\else
\PackageError{mtpro2}%{Invalid use of \protect\XL}%{\protect\XL\space can be applied to `large operators' only.}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\XXL{\xlposition@ii\z@\xlfont@\z@\x@count\@ne\futurelet\next\XXL@}
\def\XXL@{\optype@\z@\limtype@\z@
\ifx\next\bigodot\xlposition@48\else
\ifx\next\bigoplus\xlposition@49\else
\ifx\next\bigotimes\xlposition@50\else
\ifx\next\bigsqcup\xlposition@51\else
\ifx\next\bigcup\xlposition@52\else
\ifx\next\bigcap\xlposition@53\else
\ifx\next\biguplus\xlposition@54\else
\ifx\next\bigwedge\xlposition@55\else
\ifx\next\bigvee\xlposition@56\else
\ifx\next\upsum\xlposition@57\else
\ifx\next\upprod\xlposition@58\else
\ifx\next\upcoprod\xlposition@59\else
\ifx\next\bigcupprod\xlposition@62 \xlposition@ii64\else
\ifx\next\bigcapprod\xlposition@63 \xlposition@ii65\else
\ifx\next\bigvarland\xlposition@76\else
\ifx\next\bigast\xlposition@77\else
\ifx\next\slsum\optype@\@ne\xlposition@73\else
\ifx\next\slprod\optype@\@ne\xlposition@74\else
\ifx\next\slcoprod\optype@\@ne\xlposition@75\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@60\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@61\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@66\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@67\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@68\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@69\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@70\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@71\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@72\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@78\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@79\else
\PackageError{mtpro2}%{Invalid use of \protect\XXL}%{\protect\XXL\space can be applied to `large operators' only.}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\XXXL{\xlposition@ii\z@\xlfont@\@ne\x@count\tw@\futurelet\next\XXXL@}
\def\XXXL@{\optype@\z@\limtype@\z@
\ifx\next\bigodot\xlposition@0\else
\ifx\next\bigoplus\xlposition@1\else
\ifx\next\bigotimes\xlposition@2\else
\ifx\next\bigsqcup\xlposition@3\else
\ifx\next\bigcup\xlposition@4\else
\ifx\next\bigcap\xlposition@5\else
\ifx\next\biguplus\xlposition@6\else
\ifx\next\bigwedge\xlposition@7\else
\ifx\next\bigvee\xlposition@8\else
\ifx\next\upsum\xlposition@9\else
\ifx\next\uprod\xlposition@10\else
\ifx\next\ucoprod\xlposition@11\else
\ifx\next\bigcupprod\xlposition@14 \xlposition@ii16\else
\ifx\next\bigcapprod\xlposition@15 \xlposition@ii17\else
\ifx\next\bigvarland\xlposition@ 28 \xlposition@ii29\else
\ifx\next\bigast\xlposition@30\else
\ifx\next\slsum\optype@\@ne\xlposition@25\else
\ifx\next\slprod\optype@\@ne\xlposition@26\else
\ifx\next\slcoprod\optype@\@ne\xlposition@27\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@12\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@13\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@18\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@19\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@20\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@21\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@22\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@23\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@24\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@31\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@32\else
\def\next@{\PackageError{mtpro2}%{Invalid use of \protect\XXXL}%{\protect\XXXL\space can be applied to `large operators' only.}}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\undercbrace#1{\setbox\z@\hbox{$\displaystyle#1$}%\dimen@\tMTPsize\relax\expandafter\getpoints@\the\dimen@\getpoints@\dimen@\wd\z@\divide\dimen@\pointcount@\expandafter\getpoints@\the\dimen@\getpoints@\ifnum\pointcount@<4\ifdim\wd\z@<12pt\def\thebrace@{\hbox{\MTEXE@\char144}}%\else\ifdim\wd\z@<15pt\def\thebrace@{\hbox{\MTEXE@\char145}}%\else\ifdim\wd\z@<18pt\def\thebrace@{\hbox{\MTEXE@\char146}}%\else\ifdim\wd\z@<21pt\def\thebrace@{\hbox{\MTEXE@\char147}}%\else\ifdim\wd\z@<24pt\def\thebrace@{\hbox{\MTEXE@\char148}}%\else\ifdim\wd\z@<27pt\def\thebrace@{\hbox{\MTEXE@\char149}}%\else\ifdim\wd\z@<30pt\def\thebrace@{\hbox{\MTEXE@\char150}}%\else\ifdim\wd\z@<33pt\def\thebrace@{\hbox{\MTEXE@\char151}}%\else\def\thebrace@{\hbox{\MTEXE@\char152}}%\fi\fi\fi\fi\fi\fi\fi\fi\else\ifnum\pointcount@<12\advance\pointcount@149\def\thebrace@{\hbox{\MTEXE@\char\pointcount@}}%\else\ifnum\pointcount@<24\advance\pointcount@132\def\thebrace@{\hbox{\MTEXF@\char\pointcount@}}%\else\advance\pointcount@120\ifnum\pointcount@>149 \pointcount@149 \fi\def\thebrace@{\hbox{\MTEXG@\char\pointcount@}}%\fi\fi\fi\mathop{\vtop{\ialign{\hfil##\hfil\cr$\displaystyle#1$\crcr\noalign{\vskip3pt\nointerlineskip}\thebrace@\cr\noalign{\kern3pt}}}}\limits}%
\def\overcbrace#1{\setbox\z@\hbox{$\displaystyle#1$}%\dimen@\tMTPsize\relax\expandafter\getpoints@\the\dimen@\getpoints@\dimen@\wd\z@\divide\dimen@\pointcount@\expandafter\getpoints@\the\dimen@\getpoints@\ifnum\pointcount@<4\ifdim\wd\z@<12pt\def\thebrace@{\hbox{\MTEXE@\char176}}%\else\ifdim\wd\z@<15pt\def\thebrace@{\hbox{\MTEXE@\char177}}%\else\ifdim\wd\z@<18pt\def\thebrace@{\hbox{\MTEXE@\char178}}%\else\ifdim\wd\z@<21pt\def\thebrace@{\hbox{\MTEXE@\char179}}%\else\ifdim\wd\z@<24pt\def\thebrace@{\hbox{\MTEXE@\char180}}%\else\ifdim\wd\z@<27pt\def\thebrace@{\hbox{\MTEXE@\char181}}%\else\ifdim\wd\z@<30pt\def\thebrace@{\hbox{\MTEXE@\char182}}%\else\ifdim\wd\z@<33pt\def\thebrace@{\hbox{\MTEXE@\char183}}%\else\def\thebrace@{\hbox{\MTEXE@\char184}}%\fi\fi\fi\fi\fi\fi\fi\fi\else\ifnum\pointcount@<12\advance\pointcount@181\def\thebrace@{\hbox{\MTEXE@\char\pointcount@}}%\else\ifnum\pointcount@<24\advance\pointcount@148\def\thebrace@{\hbox{\MTEXF@\char\pointcount@}}%\else\advance\pointcount@136\ifnum\pointcount@>165 \pointcount@165 \fi\def\thebrace@{\hbox{\MTEXG@\char\pointcount@}}%\fi\fi\fi\mathop{\vbox{\ialign{\hfil##\hfil\cr\noalign{\kern3\p@}\thebrace@\crcr\noalign{\kern3\p@\nointerlineskip}$\displaystyle#1$\crcr}}}\limits}%
\ifmtp@ams
\DeclareSymbolFont{AMSa}{U}{mt2sya}{m}{n}
\SetSymbolFont{AMSa}{bold}{U}{mt2sya}{b}{n}
\SetSymbolFont{AMSa}{heavy}{U}{mt2sya}{eb}{n}
\global\let\sqsubset\undefined
\global\let\sqsupset\undefined
\global\let\mho\undefined
\global\let\Diamond\undefined
\global\let\leadsto\undefined
\@ifundefined{checkmark}{%\edef\checkmark{\noexpand\mathhexbox{\hexnumber@\symAMSa}58}
}{}
\@ifundefined{circledR}{%\edef\circledR{\noexpand\mathhexbox{\hexnumber@\symAMSa}72}
}{}
\@ifundefined{maltese}{%\edef\maltese{\noexpand\mathhexbox{\hexnumber@\symAMSa}7A}
}{}
\@ifundefined{yen}{%\edef\yen{\noexpand\mathhexbox{\hexnumber@\symAMSa}55}
}{}
\DeclareMathDelimiter{\ulcorner}{\mathopen} {AMSa}{"70}{AMSa}{"70}
\DeclareMathDelimiter{\urcorner}{\mathclose}{AMSa}{"71}{AMSa}{"71}
\DeclareMathDelimiter{\llcorner}{\mathopen} {AMSa}{"78}{AMSa}{"78}
\DeclareMathDelimiter{\lrcorner}{\mathclose}{AMSa}{"79}{AMSa}{"79}
\DeclareMathSymbol{\dashleftarrow}{\mathrel}{AMSa}{219}
\DeclareMathSymbol{\dashrightarrow}{\mathrel}{AMSa}{220}
\global\let\dasharrow\dashrightarrow
\DeclareMathSymbol{\Diamond} {\mathbin}{AMSa}{"DE}
\DeclareMathSymbol{\leadsto} {\mathbin}{AMSa}{"DD}
\DeclareMathSymbol{\boxdot} {\mathbin}{AMSa}{"00}
\DeclareMathSymbol{\boxplus} {\mathbin}{AMSa}{"01}
\DeclareMathSymbol{\boxtimes} {\mathbin}{AMSa}{"02}
\DeclareMathSymbol{\square} {\mathord}{AMSa}{"03}
\DeclareMathSymbol{\blacksquare} {\mathord}{AMSa}{"04}
\DeclareMathSymbol{\centerdot} {\mathbin}{AMSa}{"05}
\DeclareMathSymbol{\lozenge} {\mathord}{AMSa}{"06}
\DeclareMathSymbol{\blacklozenge} {\mathord}{AMSa}{"07}
\DeclareMathSymbol{\circlearrowright} {\mathrel}{AMSa}{"08}
\DeclareMathSymbol{\circlearrowleft} {\mathrel}{AMSa}{"09}
\DeclareMathSymbol{\leftrightharpoons} {\mathrel}{AMSa}{"0B}
\DeclareMathSymbol{\boxminus} {\mathbin}{AMSa}{"0C}
\DeclareMathSymbol{\Vdash} {\mathrel}{AMSa}{"0D}
\DeclareMathSymbol{\Vvdash} {\mathrel}{AMSa}{"0E}
\DeclareMathSymbol{\vDash} {\mathrel}{AMSa}{"0F}
\DeclareMathSymbol{\twoheadrightarrow} {\mathrel}{AMSa}{"10}
\DeclareMathSymbol{\twoheadleftarrow} {\mathrel}{AMSa}{"11}
\DeclareMathSymbol{\leftleftarrows} {\mathrel}{AMSa}{"12}
\DeclareMathSymbol{\rightrightarrows} {\mathrel}{AMSa}{"13}
\DeclareMathSymbol{\upuparrows} {\mathrel}{AMSa}{"14}
\DeclareMathSymbol{\downdownarrows} {\mathrel}{AMSa}{"15}
\DeclareMathSymbol{\upharpoonright} {\mathrel}{AMSa}{"16}
\global\let\restriction\upharpoonright
\DeclareMathSymbol{\downharpoonright} {\mathrel}{AMSa}{"17}
\DeclareMathSymbol{\upharpoonleft} {\mathrel}{AMSa}{"18}
\DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSa}{"19}
\DeclareMathSymbol{\rightarrowtail} {\mathrel}{AMSa}{"1A}
\DeclareMathSymbol{\leftarrowtail} {\mathrel}{AMSa}{"1B}
\DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSa}{"1C}
\DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSa}{"1D}
\DeclareMathSymbol{\Lsh} {\mathrel}{AMSa}{"1E}
\DeclareMathSymbol{\Rsh} {\mathrel}{AMSa}{"1F}
\DeclareMathSymbol{\rightsquigarrow} {\mathrel}{AMSa}{"20}
\DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSa}{"21}
\DeclareMathSymbol{\looparrowleft} {\mathrel}{AMSa}{"22}
\DeclareMathSymbol{\looparrowright} {\mathrel}{AMSa}{"23}
\DeclareMathSymbol{\circeq} {\mathrel}{AMSa}{"24}
\DeclareMathSymbol{\succsim} {\mathrel}{AMSa}{"25}
\DeclareMathSymbol{\gtrsim} {\mathrel}{AMSa}{"26}
\DeclareMathSymbol{\gtrapprox} {\mathrel}{AMSa}{"27}
\DeclareMathSymbol{\multimap} {\mathrel}{AMSa}{"28}
\DeclareMathSymbol{\therefore} {\mathrel}{AMSa}{"29}
\DeclareMathSymbol{\because} {\mathrel}{AMSa}{"2A}
\DeclareMathSymbol{\doteqdot} {\mathrel}{AMSa}{"2B}
\global\let\Doteq\doteqdot
\DeclareMathSymbol{\triangleq} {\mathrel}{AMSa}{"2C}
\DeclareMathSymbol{\precsim} {\mathrel}{AMSa}{"2D}
\DeclareMathSymbol{\lesssim} {\mathrel}{AMSa}{"2E}
\DeclareMathSymbol{\lessapprox} {\mathrel}{AMSa}{"2F}
\DeclareMathSymbol{\eqslantless} {\mathrel}{AMSa}{"30}
\DeclareMathSymbol{\eqslantgtr} {\mathrel}{AMSa}{"31}
\DeclareMathSymbol{\curlyeqprec} {\mathrel}{AMSa}{"32}
\DeclareMathSymbol{\curlyeqsucc} {\mathrel}{AMSa}{"33}
\DeclareMathSymbol{\preccurlyeq} {\mathrel}{AMSa}{"34}
\DeclareMathSymbol{\leqq} {\mathrel}{AMSa}{"35}
\DeclareMathSymbol{\leqslant} {\mathrel}{AMSa}{"36}
\DeclareMathSymbol{\lessgtr} {\mathrel}{AMSa}{"37}
\DeclareMathSymbol{\backprime} {\mathord}{AMSa}{"38}
\DeclareMathSymbol{\risingdotseq} {\mathrel}{AMSa}{"3A}
\DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSa}{"3B}
\DeclareMathSymbol{\succcurlyeq} {\mathrel}{AMSa}{"3C}
\DeclareMathSymbol{\geqq} {\mathrel}{AMSa}{"3D}
\DeclareMathSymbol{\geqslant} {\mathrel}{AMSa}{"3E}
\DeclareMathSymbol{\gtrless} {\mathrel}{AMSa}{"3F}
\DeclareMathSymbol{\sqsubset} {\mathrel}{AMSa}{"40}
\DeclareMathSymbol{\sqsupset} {\mathrel}{AMSa}{"41}
\DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSa}{"42}
\DeclareMathSymbol{\vartriangleleft} {\mathrel}{AMSa}{"43}
\DeclareMathSymbol{\trianglerighteq} {\mathrel}{AMSa}{"44}
\DeclareMathSymbol{\trianglelefteq} {\mathrel}{AMSa}{"45}
\DeclareMathSymbol{\bigstar} {\mathord}{AMSa}{"46}
\DeclareMathSymbol{\between} {\mathrel}{AMSa}{"47}
\DeclareMathSymbol{\blacktriangledown} {\mathord}{AMSa}{"48}
\DeclareMathSymbol{\blacktriangleright} {\mathrel}{AMSa}{"49}
\DeclareMathSymbol{\blacktriangleleft} {\mathrel}{AMSa}{"4A}
\DeclareMathSymbol{\vartriangle} {\mathrel}{AMSa}{"4D}
\DeclareMathSymbol{\blacktriangle} {\mathord}{AMSa}{"4E}
\DeclareMathSymbol{\triangledown} {\mathord}{AMSa}{"4F}
\DeclareMathSymbol{\eqcirc} {\mathrel}{AMSa}{"50}
\DeclareMathSymbol{\lesseqgtr} {\mathrel}{AMSa}{"51}
\DeclareMathSymbol{\gtreqless} {\mathrel}{AMSa}{"52}
\DeclareMathSymbol{\lesseqqgtr} {\mathrel}{AMSa}{"53}
\DeclareMathSymbol{\gtreqqless} {\mathrel}{AMSa}{"54}
\DeclareMathSymbol{\Rrightarrow} {\mathrel}{AMSa}{"56}
\DeclareMathSymbol{\Lleftarrow} {\mathrel}{AMSa}{"57}
\DeclareMathSymbol{\veebar} {\mathbin}{AMSa}{"59}
\DeclareMathSymbol{\barwedge} {\mathbin}{AMSa}{"5A}
\DeclareMathSymbol{\doublebarwedge} {\mathbin}{AMSa}{"5B}
\DeclareMathSymbol{\measuredangle} {\mathord}{AMSa}{"5D}
\DeclareMathSymbol{\sphericalangle} {\mathord}{AMSa}{"5E}
\DeclareMathSymbol{\varpropto} {\mathrel}{AMSa}{"5F}
\DeclareMathSymbol{\smallsmile} {\mathrel}{AMSa}{"60}
\DeclareMathSymbol{\smallfrown} {\mathrel}{AMSa}{"61}
\DeclareMathSymbol{\Subset} {\mathrel}{AMSa}{"62}
\DeclareMathSymbol{\Supset} {\mathrel}{AMSa}{"63}
\DeclareMathSymbol{\Cup} {\mathbin}{AMSa}{"64}
\global\let\doublecup\Cup
\DeclareMathSymbol{\Cap} {\mathbin}{AMSa}{"65}
\global\let\doublecap\Cap
\DeclareMathSymbol{\curlywedge} {\mathbin}{AMSa}{"66}
\DeclareMathSymbol{\curlyvee} {\mathbin}{AMSa}{"67}
\DeclareMathSymbol{\leftthreetimes} {\mathbin}{AMSa}{"68}
\DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSa}{"69}
\DeclareMathSymbol{\subseteqq} {\mathrel}{AMSa}{"6A}
\DeclareMathSymbol{\supseteqq} {\mathrel}{AMSa}{"6B}
\DeclareMathSymbol{\bumpeq} {\mathrel}{AMSa}{"6C}
\DeclareMathSymbol{\Bumpeq} {\mathrel}{AMSa}{"6D}
\DeclareMathSymbol{\lll} {\mathrel}{AMSa}{"6E}
\global\let\llless\lll
\DeclareMathSymbol{\ggg} {\mathrel}{AMSa}{"6F}
\global\let\gggtr\ggg
\DeclareMathSymbol{\circledS} {\mathord}{AMSa}{"73}
\DeclareMathSymbol{\pitchfork} {\mathrel}{AMSa}{"74}
\DeclareMathSymbol{\dotplus} {\mathbin}{AMSa}{"75}
\DeclareMathSymbol{\backsim} {\mathrel}{AMSa}{"76}
\DeclareMathSymbol{\backsimeq} {\mathrel}{AMSa}{"77}
\DeclareMathSymbol{\complement} {\mathord}{AMSa}{"7B}
\DeclareMathSymbol{\intercal} {\mathbin}{AMSa}{"7C}
\DeclareMathSymbol{\circledcirc} {\mathbin}{AMSa}{"7D}
\DeclareMathSymbol{\circledast} {\mathbin}{AMSa}{"7E}
\DeclareMathSymbol{\circleddash} {\mathbin}{AMSa}{"7F}
\DeclareMathSymbol{\updownarrows}{\mathrel}{AMSa}{"DF}
\DeclareMathSymbol{\downuparrows}{\mathrel}{AMSa}{224}
\DeclareMathSymbol{\updownharpoons}{\mathrel}{AMSa}{225}
\DeclareMathSymbol{\downupharpoons}{\mathrel}{AMSa}{226}
\DeclareMathSymbol{\upupharpoons}{\mathrel}{AMSa}{227}
\DeclareMathSymbol{\downdownharpoons}{\mathrel}{AMSa}{228}
\DeclareMathSymbol{\undercurvearrowleft}{\mathrel}{AMSa}{229}
\DeclareMathSymbol{\undercurvearrowright}{\mathrel}{AMSa}{230}
\DeclareMathSymbol{\midshaft} {\mathord}{AMSa}{"39}
\DeclareMathSymbol{\rarrowhead} {\mathord}{AMSa}{"4B}
\DeclareMathSymbol{\larrowhead} {\mathord}{AMSa}{"4C}
\DeclareMathSymbol{\lvertneqq} {\mathrel}{AMSa}{"80}
\DeclareMathSymbol{\gvertneqq} {\mathrel}{AMSa}{"81}
\DeclareMathSymbol{\lneqq} {\mathrel}{AMSa}{"88}
\DeclareMathSymbol{\gneqq} {\mathrel}{AMSa}{"89}
\DeclareMathSymbol{\nleqslant} {\mathrel}{AMSa}{"8A}
\DeclareMathSymbol{\ngeqslant} {\mathrel}{AMSa}{"8B}
\DeclareMathSymbol{\lneq} {\mathrel}{AMSa}{"8C}
\DeclareMathSymbol{\gneq} {\mathrel}{AMSa}{"8D}
\DeclareMathSymbol{\npreceq} {\mathrel}{AMSa}{"8E}
\DeclareMathSymbol{\nsucceq} {\mathrel}{AMSa}{"8F}
\DeclareMathSymbol{\precnsim} {\mathrel}{AMSa}{"90}
\DeclareMathSymbol{\succnsim} {\mathrel}{AMSa}{"91}
\DeclareMathSymbol{\lnsim} {\mathrel}{AMSa}{"92}
\DeclareMathSymbol{\gnsim} {\mathrel}{AMSa}{"93}
\DeclareMathSymbol{\nleqq} {\mathrel}{AMSa}{"94}
\DeclareMathSymbol{\ngeqq} {\mathrel}{AMSa}{"95}
\DeclareMathSymbol{\precneqq} {\mathrel}{AMSa}{"96}
\DeclareMathSymbol{\succneqq} {\mathrel}{AMSa}{"97}
\DeclareMathSymbol{\precnapprox} {\mathrel}{AMSa}{"98}
\DeclareMathSymbol{\succnapprox} {\mathrel}{AMSa}{"99}
\DeclareMathSymbol{\lnapprox} {\mathrel}{AMSa}{"9A}
\DeclareMathSymbol{\gnapprox} {\mathrel}{AMSa}{"9B}
\DeclareMathSymbol{\nsim} {\mathrel}{AMSa}{"9C}
\DeclareMathSymbol{\diagup} {\mathord}{AMSa}{"9E}
\DeclareMathSymbol{\diagdown} {\mathord}{AMSa}{"9F}
\DeclareMathSymbol{\varsubsetneq} {\mathrel}{AMSa}{160}
\DeclareMathSymbol{\varsupsetneq} {\mathrel}{AMSa}{161}
\DeclareMathSymbol{\nsubseteqq} {\mathrel}{AMSa}{162}
\DeclareMathSymbol{\nsupseteqq} {\mathrel}{AMSa}{163}
\DeclareMathSymbol{\subsetneqq} {\mathrel}{AMSa}{164}
\DeclareMathSymbol{\supsetneqq} {\mathrel}{AMSa}{165}
\DeclareMathSymbol{\varsubsetneqq} {\mathrel}{AMSa}{166}
\DeclareMathSymbol{\varsupsetneqq} {\mathrel}{AMSa}{167}
\DeclareMathSymbol{\subsetneq} {\mathrel}{AMSa}{168}
\DeclareMathSymbol{\supsetneq} {\mathrel}{AMSa}{169}
\DeclareMathSymbol{\nsubseteq} {\mathrel}{AMSa}{170}
\DeclareMathSymbol{\nsupseteq} {\mathrel}{AMSa}{171}
\DeclareMathSymbol{\nparallel} {\mathrel}{AMSa}{172}
\DeclareMathSymbol{\nmid} {\mathrel}{AMSa}{173}
\DeclareMathSymbol{\nshortmid} {\mathrel}{AMSa}{174}
\DeclareMathSymbol{\nshortparallel} {\mathrel}{AMSa}{175}
\DeclareMathSymbol{\nvdash} {\mathrel}{AMSa}{176}
\DeclareMathSymbol{\nVdash} {\mathrel}{AMSa}{177}
\DeclareMathSymbol{\nvDash} {\mathrel}{AMSa}{178}
\DeclareMathSymbol{\nVDash} {\mathrel}{AMSa}{179}
\DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{AMSa}{180}
\DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{AMSa}{181}
\DeclareMathSymbol{\ntriangleleft} {\mathrel}{AMSa}{182}
\DeclareMathSymbol{\ntriangleright} {\mathrel}{AMSa}{183}
\DeclareMathSymbol{\nleftarrow} {\mathrel}{AMSa}{184}
\DeclareMathSymbol{\nrightarrow} {\mathrel}{AMSa}{185}
\DeclareMathSymbol{\nLeftarrow} {\mathrel}{AMSa}{186}
\DeclareMathSymbol{\nRightarrow} {\mathrel}{AMSa}{187}
\DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{AMSa}{188}
\DeclareMathSymbol{\nleftrightarrow}{\mathrel}{AMSa}{189}
\DeclareMathSymbol{\divideontimes} {\mathbin}{AMSa}{190}
\DeclareMathSymbol{\varnothing} {\mathord}{AMSa}{191}
\DeclareMathSymbol{\nexists} {\mathord}{AMSa}{192}
\DeclareMathSymbol{\Finv} {\mathord}{AMSa}{193}
\DeclareMathSymbol{\Game} {\mathord}{AMSa}{194}
\DeclareMathSymbol{\mho} {\mathord}{AMSa}{195}
\DeclareMathSymbol{\eth} {\mathord}{AMSa}{196}
\DeclareMathSymbol{\eqsim} {\mathrel}{AMSa}{197}
\DeclareMathSymbol{\beth} {\mathord}{AMSa}{198}
\DeclareMathSymbol{\gimel} {\mathord}{AMSa}{199}
\DeclareMathSymbol{\daleth} {\mathord}{AMSa}{200}
\DeclareMathSymbol{\lessdot} {\mathbin}{AMSa}{201}
\DeclareMathSymbol{\gtrdot} {\mathbin}{AMSa}{202}
\DeclareMathSymbol{\ltimes} {\mathbin}{AMSa}{203}
\DeclareMathSymbol{\rtimes} {\mathbin}{AMSa}{204}
\DeclareMathSymbol{\shortmid} {\mathrel}{AMSa}{205}
\DeclareMathSymbol{\shortparallel} {\mathrel}{AMSa}{206}
\let\smallsetminus=\setdif
\DeclareMathSymbol{\thicksim} {\mathrel}{AMSa}{207}
\DeclareMathSymbol{\thickapprox} {\mathrel}{AMSa}{208}
\DeclareMathSymbol{\approxeq} {\mathrel}{AMSa}{209}
\DeclareMathSymbol{\succapprox} {\mathrel}{AMSa}{210}
\DeclareMathSymbol{\precapprox} {\mathrel}{AMSa}{211}
\DeclareMathSymbol{\curvearrowleft} {\mathrel}{AMSa}{212}
\DeclareMathSymbol{\curvearrowright}{\mathrel}{AMSa}{213}
\newcommand{\Bbbk}{\mathbb{k}}
\DeclareMathSymbol{\backepsilon} {\mathrel}{AMSa}{214}
\DeclareMathSymbol{\nsqsubset} {\mathrel}{AMSa}{215}
\DeclareMathSymbol{\nsqsupset} {\mathrel}{AMSa}{216}
\let\Box\square
\let\lhd\vartriangleleft
\let\rhd\vartriangleright
\let\unrhd\trianglerighteq
\let\unlhd\trianglelefteq
\let\Join\bowtie
\fi
\def\defaultscriptratio{.7}
\def\defaultscriptscriptratio{.55}
\DeclareMathSizes{5}{5}{5}{5}
\DeclareMathSizes{6}{6}{5}{5}
\DeclareMathSizes{7}{7}{5}{5}
\DeclareMathSizes{8}{8}{6}{5}
\DeclareMathSizes{9}{9}{7}{5.5}
\DeclareMathSizes{\@xpt}{\@xpt}{7}{5.5}
\DeclareMathSizes{\@xipt}{\@xipt}{8}{6}
\DeclareMathSizes{\@xiipt}{\@xiipt}{8}{6}
\DeclareMathSizes{\@xivpt}{\@xivpt}{\@xpt}{7}
\DeclareMathSizes{\@xviipt}{\@xviipt}{\@xiipt}{\@xpt}
\DeclareMathSizes{\@xxpt}{\@xxpt}{\@xivpt}{\@xiipt}
\DeclareMathSizes{\@xxvpt}{\@xxvpt}{\@xxpt}{\@xviipt}
\DeclareTextSymbolDefault{\textless}{LMP1}
\DeclareTextSymbolDefault{\textgreater}{LMP1}
\DeclareTextAccentDefault{\t}{LMP2}
\DeclareTextSymbol{\textless}{LMP1}{`\<}
\DeclareTextSymbol{\textgreater}{LMP1}{`\>}
\DeclareTextAccent{\t}{LMP2}{65}
\DeclareTextSymbolDefault{\textasteriskcentered}{LMP2}
\DeclareTextSymbolDefault{\textbackslash}{LMP2}
\DeclareTextSymbolDefault{\textbar}{LMP2}
\DeclareTextSymbolDefault{\textbraceleft}{LMP2}
\DeclareTextSymbolDefault{\textbraceright}{LMP2}
\DeclareTextSymbolDefault{\textbullet}{LMP2}
\DeclareTextSymbolDefault{\textperiodcentered}{LMP2}
\DeclareTextAccentDefault{\textcircled}{LMP2}
\DeclareTextSymbol{\textasteriskcentered}{LMP2}{3}
\DeclareTextSymbol{\textbackslash}{LMP2}{110}
\DeclareTextSymbol{\textbar}{LMP2}{106}
\DeclareTextSymbol{\textbraceleft}{LMP2}{102}
\DeclareTextSymbol{\textbraceright}{LMP2}{103}
\DeclareTextSymbol{\textbullet}{LMP2}{15}
\DeclareTextSymbol{\textperiodcentered}{LMP2}{1}
\DeclareTextCommand{\textcircled}{LMP2}[1]{{%\ooalign{%\hfil \raise .07ex\hbox {\upshape#1}\hfil \crcr\char13}}}
\@ifpackageloaded{textcomp}{}{%\DeclareTextSymbolDefault{\textdagger}{LMP1}\DeclareTextSymbolDefault{\textdaggerdbl}{LMP1}\DeclareTextSymbolDefault{\textsection}{LMP1}\DeclareTextSymbolDefault{\textparagraph}{LMP1}\DeclareTextSymbol{\textdagger}{LMP1}{"8E}\DeclareTextSymbol{\textdaggerdbl}{LMP1}{"8F}\DeclareTextSymbol{\textsection}{LMP1}{"90}\DeclareTextSymbol{\textparagraph}{LMP1}{"91}}
\def\@tempa{LY1}
\ifx\encodingdefault\@tempa\DeclareMathSymbol{\mathsterling}{\mathord}{operators}{163}\let\mathunderscore\@undefined\DeclareMathSymbol{\mathunderscore}{\mathord}{operators}{95}
\else\def\@tempa{T1}\ifx\encodingdefault\@tempa\DeclareMathSymbol\mathsterling{\mathord}{operators}{191}\let\mathunderscore\@undefined\DeclareMathSymbol\mathunderscore{\mathord}{operators}{95}\fi
\fi
\begingroup\catcode`\_=13\gdef_{\futurelet\next\s@@b}
\endgroup
\def\s@@b{\ifcat\relax\noexpand\next\expandafter\sb\else\expandafter\s@@b@\fi}
\def\s@@b@#1{\sb{\futurelet\next\sb@#1}}
\def\sb@{%\ifx\next\space@\def\next@. {\futurelet\next\sb@}\else\def\next@.{%\ifx\next f\mkern-\thr@@ mu\else\ifx\next j\mkern-\tw@ mu\else\ifx\next p\mkern-\tw@ mu\else\ifx\next t\mkern\@ne mu\else\ifx\next y\mkern-\@ne mu\else\ifx\next A\mkern-\tw@ mu\else\ifx\next B\mkern-\@ne mu\else\ifx\next D\mkern-\@ne mu\else\ifx\next H\mkern-\@ne mu\else\ifx\next I\mkern-\@ne mu\else\ifx\next K\mkern-\@ne mu\else\ifx\next L\mkern-\@ne mu\else\ifx\next M\mkern-\@ne mu\else\ifx\next P\mkern-\@ne mu\else\ifx\next X\mkern-\tw@ mu\else\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}%\fi\next@.}
\mathcode`\_=\string"8000
\DeclareMathSymbol{\mtp@z}{\mathalpha}{letters}{`z}
\DeclareMathSymbol{\mtp@@z}{\mathalpha}{letters}{"B4}
\begingroup
\lccode`\~=`\z
\lowercase{\gdef ~{\ifnum\the\mathgroup=\m@ne \mtp@@z \else \mtp@z \fi}}
\endgroup
\endinput
%%
%% End of file `mtpro2.sty'.2.7 picins.sty
% PICINS.STY --- Style File zum Einbinden von Bildern
% Autor: J. Bleser, E. Lang
% Hochschulrechenzentrum
% Technische Hochschule Darmstadt
% !!! Dieses Style-File ist urheberrechtlich geschuetzt !!!
% !!! Aenderungen nur mit Zustimmung der Autoren !!!
\message{Option `picins' Version 3.0 Sep. 1992, TH Darmstadt/HRZ}
\newbox\@BILD%
\newbox\@TEXT%
\newdimen\d@breite%
\newdimen\d@hoehe%
\newdimen\d@xoff%
\newdimen\d@yoff%
\newdimen\d@shad%
\newdimen\d@dash%
\newdimen\d@boxl%
\newdimen\d@pichskip%
\newdimen\d@tmp
\newdimen\d@tmpa
\newdimen\d@bskip
\newdimen\hsiz@%
\newdimen\p@getot@l%
\newcount\c@breite
\newcount\c@hoehe
\newcount\c@xoff
\newcount\c@yoff
\newcount\c@pos
\newcount\c@shad
\newcount\c@dash
\newcount\c@boxl
\newcount\c@zeilen%
\newcount\@changemode%
\newcount\c@piccaption%
\newcount\c@piccaptionpos%
\newcount\c@picpos
\newcount\c@whole%
\newcount\c@half%
\newcount\c@tmp
\newcount\c@tmpa
\newcount\c@tmpb
\newcount\c@tmpc
\newcount\c@tmpd
\newskip\d@leftskip
\newif\if@list \@listfalse%
\newif\if@offset%\c@piccaptionpos=1%
\c@picpos=0
\d@shad=4pt%
\d@dash=4pt%
\d@boxl=10pt%
\d@pichskip=1em%
\@changemode=0%
\def\@captype{figure}%
\let\old@par=\par%\def\pichskip#1{\d@pichskip #1\relax}\def\shadowthickness#1{\d@shad #1\relax}\def\dashlength#1{\d@dash #1\relax}\def\boxlength#1{\d@boxl #1\relax}\def\picchangemode{\@changemode=1}%
\def\nopicchangemode{\@changemode=0}%\def\piccaptionoutside{\c@piccaptionpos=1}%
\def\piccaptioninside{\c@piccaptionpos=2}%
\def\piccaptionside{\c@piccaptionpos=3}%
\def\piccaptiontopside{\c@piccaptionpos=4}%\def\piccaption{\@ifnextchar [{\@piccaption}{\@piccaption[]}}
\def\@piccaption[#1]#2{\c@piccaption=1\def\sh@rtf@rm{#1}\def\capti@nt@xt{#2}}
\def\make@piccaption{%\hsiz@\d@breite%\ifnum\c@piccaptionpos=2%\advance\hsiz@ -2\fboxsep%\fi%\ifnum\c@piccaptionpos>2%\hsiz@\hsize\advance\hsiz@-\d@breite\advance\hsiz@-\d@pichskip%\fi%\setbox\@TEXT=\vbox{\hsize\hsiz@\caption[\sh@rtf@rm]{\capti@nt@xt}}%
}\def\newcaption{\refstepcounter\@captype\@dblarg{\@newcaption\@captype}}
\long\def\@newcaption#1[#2]#3{%\old@par%\addcontentsline{\csname ext@#1\endcsname }{#1}%{\protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}\begingroup\@parboxrestore\normalsize%\@newmakecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\old@par%\endgroup%
}
\long\def\@newmakecaption#1#2{%\vskip 10pt%\setbox\@tempboxa \hbox {#1: #2}%\ifdim \wd\@tempboxa >\hsize%\setbox0=\hbox{#1: }\dimen0=\hsize\advance\dimen0 by-\wd0\setbox1=\vtop{\hsize=\dimen0 #2}\hbox{\box0 \box1}\par\else \hbox to\hsize {\hfil \box \@tempboxa \hfil}\fi
}\def\parpic{%\@ifnextchar ({\iparpic}{\iparpic(0pt,0pt)}
}
\def\iparpic(#1,#2){%\@ifnextchar ({\@offsettrue\iiparpic(#1,#2)}%{\@offsetfalse\iiparpic(#1,#2)(0pt,0pt)}
}
\def\iiparpic(#1,#2)(#3,#4){%\@ifnextchar [{\iiiparpic(#1,#2)(#3,#4)}{\iiiparpic(#1,#2)(#3,#4)[l]}
}
\def\iiiparpic(#1,#2)(#3,#4)[#5]{%\@ifnextchar [{\ivparpic(#1,#2)(#3,#4)[#5]}{\ivparpic(#1,#2)(#3,#4)[#5][]}
}
\def\ivparpic(#1,#2)(#3,#4)[#5][#6]#7{%\let\par=\old@par\par%\hangindent0pt\hangafter1%\setbox\@BILD=\hbox{#7}%\d@breite=#1\d@breite=\the\d@breite%\ifdim\d@breite=0pt\d@breite=\wd\@BILD\fi%\c@breite=\d@breite\divide\c@breite by65536%\multiply\c@piccaption\c@piccaptionpos%\d@hoehe=#2\d@hoehe=\the\d@hoehe%\ifdim\d@hoehe=0pt\d@hoehe=\ht\@BILD\advance\d@hoehe by\dp\@BILD\fi%\c@hoehe=\d@hoehe\divide\c@hoehe by65536%\d@xoff=#3\c@xoff=\d@xoff\divide\c@xoff by65536%\d@yoff=\d@hoehe%\advance\d@yoff by-#4\c@yoff=\d@yoff\divide\c@yoff by65536%\c@pos=1\unitlength1pt%\if@offset%\setbox\@BILD=\hbox{%\begin{picture}(\c@breite,\c@hoehe)%\put(0,0){\makebox(\c@breite,\c@hoehe){}}%\put(\c@xoff,\c@yoff){\box\@BILD}%\end{picture}%}%\else%\setbox\@BILD=\hbox{%\begin{picture}(\c@breite,\c@hoehe)%\put(0,0){\makebox(\c@breite,\c@hoehe)[#6]{\box\@BILD}}%\end{picture}%}%\fi%\ifnum\c@piccaption=2%\make@piccaption%\advance\d@hoehe\ht\@TEXT\advance\d@hoehe\dp\@TEXT%\c@hoehe=\d@hoehe\divide\c@hoehe by65536%\setbox\@BILD=\vbox{\box\@BILD\vspace{-5pt}%\hbox{\hspace{\fboxsep}\box\@TEXT}%\vspace{4pt}}%\fi%\@tfor\@tempa := #5\do{%\if\@tempa f\setbox\@BILD=\hbox{\Rahmen(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa s\setbox\@BILD=\hbox{\Schatten(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa o\setbox\@BILD=\hbox{\Oval(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa d\setbox\@BILD=\hbox{\Strich(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa x\setbox\@BILD=\hbox{\Kasten(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa l\c@pos=1\fi%\if\@tempa r\c@pos=2\fi%}%\ifnum\c@piccaption=1%\make@piccaption%\advance\d@hoehe\ht\@TEXT\advance\d@hoehe\dp\@TEXT%\c@hoehe=\d@hoehe\divide\c@hoehe by65536%\setbox\@BILD=\vbox{\box\@BILD\vspace{-5pt}\hbox{\box\@TEXT}\vspace{4pt}}%\fi%\ifodd\count0\c@picpos=0\else\c@picpos=\@changemode\fi%\pagetotal=\the\pagetotal%\d@tmp=\pagegoal\advance\d@tmp by-\pagetotal\advance\d@tmp by-\baselineskip%\ifdim\d@hoehe>\d@tmp%\vskip 0pt plus\d@hoehe\relax\pagebreak[3]\vskip 0pt plus-\d@hoehe\relax%\ifnum\c@picpos=1\c@picpos=0\else\c@picpos=\@changemode\fi%\fi%\ifnum\c@picpos=1\ifnum\c@pos=1\c@pos=2\else\c@pos=1\fi\fi%\ifnum\@listdepth>0\@listtrue\parshape 0%\advance\hsize -\rightmargin%\d@leftskip \leftskip%\leftskip \@totalleftmargin%\if@inlabel\rule{\linewidth}{0pt}\vskip-\baselineskip\relax\fi%\else\@listfalse\medskip%\fi%\if@list\d@tmpa=\linewidth\else\d@tmpa=\hsize\fi%\ifnum\c@piccaption=3%\make@piccaption%\d@tmp\ht\@TEXT\advance\d@tmp\dp\@TEXT%\ifdim\d@hoehe>\d@tmp%\setbox\@TEXT=\vbox to\d@hoehe{\vfill\box\@TEXT\vspace{.2\baselineskip}\vfill}%\else%\setbox\@BILD=\vbox to\d@tmp{\vfill\box\@BILD\vfill}%\d@hoehe\d@tmp%\fi%\fi%\ifnum\c@piccaption=4%\make@piccaption%\d@tmp\ht\@TEXT\advance\d@tmp\dp\@TEXT%\setbox\@TEXT=\vbox to\d@hoehe{\vspace{-10pt}\box\@TEXT\vfil}%\advance\d@hoehe-\d@tmp%\fi%\ifnum\c@pos=1\d@tmpa=0pt%\ifnum\c@piccaption>2%\setbox\@BILD=\hbox{\box\@BILD\hspace{\d@pichskip}\hbox{\box\@TEXT}}%\fi%\else\advance\d@tmpa by-\wd\@BILD\d@breite=-\d@breite%\ifnum\c@piccaption>2%\d@tmpa=0pt%\setbox\@BILD=\hbox{\hbox{\box\@TEXT}\hspace{\d@pichskip}\box\@BILD}%\fi%\fi%\p@getot@l\the\pagetotal%\d@bskip\d@hoehe\advance\d@bskip by\parskip\advance\d@bskip by.3\baselineskip%{\noindent\hspace*{\d@tmpa}\relax%\box\@BILD\nopagebreak\vskip-\d@bskip\relax\nopagebreak}%\d@tmp=-\d@hoehe\divide\d@tmp by\baselineskip%\c@zeilen=\d@tmp\advance\c@zeilen by-1%\ifdim\d@breite<0pt\advance\d@breite by-\d@pichskip%\else\advance\d@breite by\d@pichskip%\fi%\hangindent=\d@breite%\hangafter=\c@zeilen%\let\par=\x@par%\ifnum\c@piccaption=3%\hangindent0pt\hangafter1\let\par=\old@par%\vskip\d@hoehe\vskip.2\baselineskip%\fi%\c@piccaption=0%
}\newdimen\ptoti
\newdimen\ptotii
\def\x@par{%\ptoti\pagetotal%\old@par%\ptotii\pagetotal%\ifdim\ptoti=\ptotii%\d@tmp\d@hoehe%\else%\d@tmp\baselineskip%\multiply\d@tmp by\prevgraf%\advance\d@tmp by\parskip%\global\advance\d@hoehe by-\d@tmp\d@tmp=\d@hoehe%\fi%\ifdim\d@hoehe>0pt%\divide\d@tmp by\baselineskip\c@zeilen=-\d@tmp\advance\c@zeilen by-1%\c@zeilen=\the\c@zeilen%\else\c@zeilen=0\fi\ifnum\c@zeilen<0\hangafter=\c@zeilen\hangindent=\d@breite%\else\let\par=\old@par%\hangindent 0pt%\leftskip \d@leftskip%\if@list\parshape \@ne \@totalleftmargin \linewidth%\advance\hsize \rightmargin%\fi%\fi%
}\def\picskip#1{%\let\par=\old@par%\par%\pagetotal\the\pagetotal%\c@tmp=#1\relax%\ifnum\c@tmp=0%\d@tmp\baselineskip\multiply\d@tmp by\prevgraf\advance\d@tmp\parskip%\ifdim\p@getot@l<\pagetotal\advance\d@hoehe by-\d@tmp\advance\d@hoehe by1ex%\ifdim\d@hoehe>0pt\vspace*{\d@hoehe}\fi%\fi%\ifdim\p@getot@l=\pagetotal%\advance\d@hoehe by-\d@tmp\advance\d@hoehe by1ex%\ifdim\d@hoehe>0pt\vspace*{\d@hoehe}\fi%\fi%\else\hangafter=-\c@tmp\hangindent=\d@breite%\fi%\leftskip \d@leftskip%\if@list\parshape \@ne \@totalleftmargin \linewidth%\advance\hsize \rightmargin%\fi%
}\def\hpic{%\@ifnextchar ({\ihpic}{\ihpic(0pt,0pt)}
}
\def\ihpic(#1,#2){%\@ifnextchar ({\@offsettrue\iihpic(#1,#2)}%{\@offsetfalse\iihpic(#1,#2)(0pt,0pt)}
}
\def\iihpic(#1,#2)(#3,#4){%\@ifnextchar [{\iiihpic(#1,#2)(#3,#4)}{\iiihpic(#1,#2)(#3,#4)[l]}
}
\def\iiihpic(#1,#2)(#3,#4)[#5]{%\@ifnextchar [{\ivhpic(#1,#2)(#3,#4)[#5]}{\ivhpic(#1,#2)(#3,#4)[#5][]}
}
\def\ivhpic(#1,#2)(#3,#4)[#5][#6]#7{%\setbox\@BILD=\hbox{#7}%\d@breite=#1\d@breite=\the\d@breite%\ifdim\d@breite=0pt\d@breite=\wd\@BILD\fi%\c@breite=\d@breite\divide\c@breite by65536%\d@hoehe=#2\d@hoehe=\the\d@hoehe%\ifdim\d@hoehe=0pt\d@hoehe=\ht\@BILD\advance\d@hoehe by\dp\@BILD\fi%\c@hoehe=\d@hoehe\divide\c@hoehe by65536%\d@xoff=#3\c@xoff=\d@xoff\divide\c@xoff by65536%\d@yoff=\d@hoehe%\advance\d@yoff by-#4\c@yoff=\d@yoff\divide\c@yoff by65536%\c@pos=0\d@tmpa=\parindent\parindent=0pt\unitlength1pt%\if@offset\setbox\@BILD=\hbox{%\begin{picture}(\c@breite,\c@hoehe)%\put(0,0){\makebox(\c@breite,\c@hoehe){}}%\put(\c@xoff,\c@yoff){\box\@BILD}%\end{picture}%}%\else%\setbox\@BILD=\hbox{%\begin{picture}(\c@breite,\c@hoehe)%\put(0,0){\makebox(\c@breite,\c@hoehe)[#6]{\box\@BILD}}%\end{picture}%}%\fi%\@tfor\@tempa := #5\do{%\if\@tempa f\setbox\@BILD=\hbox{\Rahmen(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa s\setbox\@BILD=\hbox{\Schatten(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa o\setbox\@BILD=\hbox{\Oval(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa d\setbox\@BILD=\hbox{\Strich(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa x\setbox\@BILD=\hbox{\Kasten(\c@breite,\c@hoehe){\box\@BILD}}\fi%\if\@tempa t\c@pos=1\fi%\if\@tempa b\c@pos=2\fi%}%\ifnum\c@pos=0\parbox{\d@breite}{\makebox[0cm]{}\\\box\@BILD\smallskip}\fi%\ifnum\c@pos=1\parbox[t]{\d@breite}{\makebox[0cm]{}\\\box\@BILD\smallskip}\fi%\ifnum\c@pos=2\parbox[b]{\d@breite}{\makebox[0cm]{}\\\box\@BILD\smallskip}\fi%\parindent=\d@tmpa%
}\def\Rahmen(#1,#2)#3{%\c@whole=\@wholewidth\divide\c@whole by65536%\c@half=\@halfwidth\divide\c@half by65536%\c@tmpa=#1\advance\c@tmpa by\c@whole\advance\c@tmpa by\c@whole%\c@tmpb=#2\advance\c@tmpb by\c@whole\advance\c@tmpb by\c@whole%\begin{picture}(\c@tmpa,\c@tmpb)%\put(\c@whole,\c@half){\framebox(#1,#2){#3}}%\end{picture}%\global\advance\d@breite by2\@wholewidth%\global\advance\d@hoehe by2\@wholewidth%
}\def\Schatten(#1,#2)#3{%\c@whole=\@wholewidth\divide\c@whole by65536%\c@half=\@halfwidth\divide\c@half by65536%\c@shad=\d@shad\divide\c@shad by65536%\c@tmp=\c@whole\advance\c@tmp by\c@whole\c@tmpd=\c@tmp%\advance\c@tmp by\c@shad%\advance\c@tmpd by#1%\advance\c@half by\c@shad%\c@tmpa=#1\advance\c@tmpa by\c@tmp%\c@tmpb=#2\advance\c@tmpb by\c@tmp%\begin{picture}(\c@tmpa,\c@tmpb)%\put(\c@whole,\c@half){\framebox(#1,#2){#3}}%\put(\c@shad,0){\rule{\c@tmpd pt}{\c@shad pt}}%\put(\c@tmpd,0){\rule{\c@shad pt}{#2 pt}}%\end{picture}%\global\advance\d@breite by2\@wholewidth\global\advance\d@breite by\d@shad%\global\advance\d@hoehe by2\@wholewidth\global\advance\d@hoehe by\d@shad%
}\def\Oval(#1,#2)#3{%\@wholewidth=0.4pt%\c@tmpa=\the#1\divide\c@tmpa by2%\c@tmpb=\the#2\divide\c@tmpb by2%\begin{picture}(#1,#2)%\put(\c@tmpa,\c@tmpb){\oval(#1,#2)}%\put(0.4,0.4){#3}%\end{picture}%\global\advance\d@breite by1pt\global\advance\d@hoehe by1pt%
}\def\Strich(#1,#2)#3{%\c@whole=\@wholewidth\divide\c@whole by65536%\c@half=\@halfwidth\divide\c@half by65536%\c@dash=\d@dash\divide\c@dash by65536%\c@tmp=\c@whole\advance\c@tmp by\c@whole%\c@tmpa=#1\advance\c@tmpa by\c@tmp%\c@tmpb=#2\advance\c@tmpb by\c@tmp%\c@tmpc=#1\advance\c@tmpc by\c@whole%\c@tmpd=#2\advance\c@tmpd by\c@whole%\begin{picture}(\c@tmpa,\c@tmpb)%\put(\c@half,\c@half){\dashbox{\c@dash}(\c@tmpc,\c@tmpd){#3}}%\end{picture}%\global\advance\d@breite by2\@wholewidth%\global\advance\d@hoehe by2\@wholewidth%
}\def\Kasten(#1,#2)#3{%\@wholewidth=0.4pt%\c@boxl=\d@boxl\divide\c@boxl by65536\c@boxl=\the\c@boxl%\c@tmpa=#1\advance\c@tmpa by\c@boxl%\c@tmpb=#2\advance\c@tmpb by\c@boxl%\c@tmp=#2%\begin{picture}(\c@tmpa,\c@tmpb)%\put(0,\c@boxl){\framebox(#1,#2){#3}}%\put(\c@boxl,0){\line(-1,1){\c@boxl}}%\put(\c@boxl,0){\line(1,0){#1}\line(-1,1){\c@boxl}}%\put(\c@boxl,0){\put(#1,0){\line(0,1){\c@tmp}%\put(0,\c@tmp){\line(-1,1){\c@boxl}}}}%\end{picture}%\global\advance\d@breite by\d@boxl%\global\advance\d@hoehe by\d@boxl%
}\newbox\env@box%
\newdimen\d@envdp
\newcount\c@hsize
\newcount\c@envdp
\newdimen\d@envb\long\def\frameenv{\@ifnextchar [{\@frameenv}{\@frameenv[\textwidth]}}
\long\def\@frameenv[#1]{%\hsiz@=\textwidth \textwidth=#1 \d@envb=#1\advance\textwidth by-2\@wholewidth\advance\textwidth by-2\fboxsep\hsize=\textwidth \linewidth=\textwidth\setbox\env@box=\vbox\bgroup}%
\def\endframeenv{%\egroup%\hsize=\hsiz@ \textwidth=\hsiz@ \linewidth=\hsiz@\c@breite=\d@envb \divide\c@breite by65536\advance\d@envb by-2\@wholewidth\c@hsize=\d@envb \divide\c@hsize by65536%\d@envdp=\dp\env@box \advance\d@envdp by\ht\env@box%\advance\d@envdp by2\fboxsep%\d@hoehe=\d@envdp \advance\d@hoehe by2\@wholewidth\c@hoehe=\d@hoehe \divide\c@hoehe by65536\c@envdp=\d@envdp \divide\c@envdp by65536%\c@tmp=\@wholewidth \divide\c@tmp by65536\vskip\@wholewidth%\unitlength 1pt\noindent%\begin{picture}(\c@breite,\c@hoehe)(0,0)\put(\c@tmp,\c@tmp){\framebox(\c@hsize,\c@envdp){\box\env@box}}\end{picture}%
}\long\def\shadowenv{\@ifnextchar [{\@shadowenv}{\@shadowenv[\textwidth]}}
\long\def\@shadowenv[#1]{%\hsiz@=\textwidth \textwidth=#1 \d@envb=#1\advance\textwidth by-2\@wholewidth\advance\textwidth by-2\fboxsep\advance\textwidth by-\d@shad%\hsize=\textwidth \linewidth=\textwidth\setbox\env@box=\vbox\bgroup}%
\def\endshadowenv{%\egroup\hsize=\hsiz@ \textwidth=\hsiz@ \linewidth=\hsiz@\d@tmpa=\d@envb\c@breite=\d@envb \divide\c@breite by65536\advance\d@envb by-2\@wholewidth \advance\d@envb by-\d@shad\c@hsize=\d@envb \divide\c@hsize by65536%\d@envdp=\dp\env@box \advance\d@envdp by\ht\env@box%\advance\d@envdp by2\fboxsep%\c@envdp=\d@envdp \divide\c@envdp by65536%\d@hoehe=\d@envdp\advance\d@hoehe by2\@wholewidth \advance\d@hoehe by\d@shad\c@hoehe=\d@hoehe \divide\c@hoehe by65536\c@shad =\d@shad \divide\c@shad by65536\c@tmp=\@wholewidth \divide\c@tmp by65536\advance\d@tmpa by-2\d@shad\c@xoff =\d@tmpa \divide\c@xoff by65536\advance\c@xoff by\c@shad \advance\c@xoff by-1\advance\d@envdp by\@wholewidth\vskip\@halfwidth\unitlength 1pt\noindent%\begin{picture}(\c@breite,\c@hoehe)(0,0)\put(\c@tmp,\c@shad){\framebox(\c@hsize,\c@envdp){\box\env@box}}\put(\c@shad,0){\rule{\d@tmpa}{\d@shad}}%\put(\c@xoff,0){\rule{\d@shad}{\d@envdp}}%\end{picture}%\vskip\@halfwidth
}\long\def\dashenv{\@ifnextchar [{\@dashenv}{\@dashenv[\textwidth]}}
\long\def\@dashenv[#1]{%\hsiz@=\textwidth \textwidth=#1 \d@envb=#1\advance\textwidth by-2\@wholewidth \advance\textwidth by-2\fboxsep\hsize=\textwidth \linewidth=\textwidth\setbox\env@box=\vbox\bgroup}%
\long\def\enddashenv{%\egroup\hsize=\hsiz@ \textwidth=\hsiz@ \linewidth=\hsiz@\c@breite=\d@envb \divide\c@breite by65536\advance\d@envb by-\@wholewidth\c@hsize=\d@envb \divide\c@hsize by65536%\d@envdp=\dp\env@box \advance\d@envdp by\ht\env@box%\advance\d@envdp by2\fboxsep%\advance\d@envdp by\@wholewidth\d@hoehe=\d@envdp \advance\d@hoehe by2\@wholewidth\c@hoehe=\d@hoehe \divide\c@hoehe by65536\c@envdp=\d@envdp \divide\c@envdp by65536%\c@dash=\d@dash \divide\c@dash by65536%\c@whole=\@wholewidth \divide\c@whole by65536\c@half=\@halfwidth \divide\c@half by 65536\noindent\unitlength 1pt\begin{picture}(\c@breite,\c@hoehe)(0,0)\put(\c@half,\c@whole){\dashbox{\c@dash}(\c@hsize,\c@envdp){\box\env@box}}\end{picture}%
}\long\def\ovalenv{\@ifnextchar [{\@ovalenv}{\@ovalenv[\textwidth]}}%
\long\def\@ovalenv[#1]{%\hsiz@=\textwidth \textwidth=#1 \d@envb=#1\advance\textwidth by-4\fboxsep\hsize=\textwidth \linewidth=\textwidth\setbox\env@box=\vbox\bgroup}%
\long\def\endovalenv{%\egroup\hsize=\hsiz@ \textwidth=\hsiz@ \linewidth=\hsiz@\@wholewidth=0.4pt\c@breite=\d@envb \divide\c@breite by65536\advance\d@envb by-2\@wholewidth\c@hsize=\d@envb \divide\c@hsize by65536%\d@envdp=\dp\env@box \advance\d@envdp by\ht\env@box%\advance\d@envdp by4\fboxsep%\c@envdp=\d@envdp \divide\c@envdp by65536%\d@hoehe=\d@envdp \advance\d@hoehe by2\@wholewidth\c@hoehe=\d@hoehe \divide\c@hoehe by65536\c@tmpa=\c@hsize \divide\c@tmpa by2%\c@tmpb=\c@envdp \divide\c@tmpb by2%\d@tmpa=2\fboxsep \advance\d@tmpa by\@wholewidth\c@xoff=\d@tmpa \divide\c@xoff by65536%\advance\d@tmpa by\dp\env@box\c@yoff=\d@tmpa \divide\c@yoff by65536%\unitlength 1pt\noindent\begin{picture}(\c@breite,\c@hoehe)(0,0)\put(\c@tmpa,\c@tmpb){\oval(\c@hsize,\c@envdp)}\put(\c@xoff,\c@yoff){\box\env@box}%\end{picture}%
}2.8 tst.cls
\NeedsTeXFormat{LaTeX2e}
\ProvidesClass{tst}[2012/02/10 v0.1 TST LaTeX English template class] % Need to be changed with new release
\LoadClass[a4paper, 10.5pt,twocolumn,twoside,journal]{article}
\RequirePackage{ifthen}
\usepackage{flushend}
\usepackage{graphicx} %
\usepackage{CJK} %
%\usepackage[lite,subscriptcorrection,slantedGreek,nofontinfo]{mtpro2}
\usepackage{times} %
\RequirePackage{picins}
\RequirePackage{ccaption}
\RequirePackage{calc}
%%--------PAGE FORMAT---------%%
\setlength{\topmargin}{28pt}
\setlength{\headsep}{13pt}
\setlength{\headheight}{6mm}
\setlength{\oddsidemargin}{-7mm}
\setlength{\evensidemargin}{-7mm}
\setlength{\voffset}{-0.40in}
\setlength{\hoffset}{0mm}
\setlength{\footskip}{3.5em}
\setlength{\columnsep}{8mm} %
\textwidth \paperwidth%
\textheight \paperheight%
\addtolength\textwidth{-38mm}
\addtolength\textheight{-62mm}
% extra vertical space between paragraphs normally
\setlength{\parskip}{0mm}
% extra vertical space between paragraphs within a list item
%\setlength{\parsep}{0mm}%%
\setlength{\abovedisplayskip}{2pt plus 1pt minus 1pt}
\setlength{\belowdisplayskip}{3pt plus 2pt minus 2pt}\setlength{\doublerulesep}{0.5pt}%%
\renewcommand{\baselinestretch}{1.14}
\renewcommand{\arraystretch}{1.06}
%
%
\newlength\tst@linespace
\newcommand{\tst@choosefont}[3]{%\setlength{\tst@linespace}{#1*\real{\baselinestretch}}%\fontsize{#1}{\tst@linespace plus#2 minus #3}\selectfont}
%
% 1 in = 72 bp = 72.27 pt\newcommand\zihao[1]{%\ifthenelse{\equal{#1}{0}}{%\tst@choosefont{42bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{0-}}{%\tst@choosefont{36bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{1}}{%\tst@choosefont{26bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{1-}}{%\tst@choosefont{24bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{2}}{%\tst@choosefont{22bp}{.5pt}{.3pt}}{}%\ifthenelse{\equal{#1}{2-}}{%\tst@choosefont{18bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{3}}{%\tst@choosefont{16bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{3-}}{%\tst@choosefont{15bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{4}}{%\tst@choosefont{14bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{4-}}{%\tst@choosefont{12bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5}}{%\tst@choosefont{10.5bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5--}}{%\tst@choosefont{10bp}{.3pt}{.2pt}}{}%\ifthenelse{\equal{#1}{5-}}{%\tst@choosefont{9bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{6}}{%\tst@choosefont{7.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{9}}{%\tst@choosefont{8.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{6-}}{%\tst@choosefont{6.5bp}{.2pt}{.1pt}}{}%\ifthenelse{\equal{#1}{7}}{%\tst@choosefont{5.5bp}{.1pt}{.1pt}}{}%\ifthenelse{\equal{#1}{8}}{%\tst@choosefont{5bp}{.1pt}{.1pt}}{}}
%
%%----- Redefine \tiny \scriptsize \footnotesize\small ----------%%
%%-------------------------\normalsize --------------------------%%
%%---------------\large \Large \LARGE \huge \Huge ---------------%%
%% Refer to ctex
\def\tiny{\zihao{7-}}
\def\scriptsize{\zihao{7}}
\def\footnotesize{\zihao{6-}}
\def\small{\zihao{6}}
\def\normalsize{\zihao{5-}}%
\def\large{\zihao{5}}%
\def\Large{\zihao{4}}%
\def\LARGE{\zihao{3}}%
\def\huge{\zihao{2-}}%
\def\Huge{\zihao{1-}}%
\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}}
\def\@IEEEproof[#1]{\par\noindent\hspace{1em}{\textbf #1{\quad}}}
\def\endIEEEproof{\hspace*{\fill}~$\blacksquare$\par}
\def\IEEEproofname{Proof}
\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}\normalsize %make \baselinestretch take affect
%\renewcommand{\@biblabel}[1]{#1}
\let\@afterindentfalse\@afterindenttrue\@afterindenttrue
\def\@cite#1#2{\textsuperscript{[{#1\if@tempswa, #2\fi}]}}
\setlength{\footnotesep}{0pt}
\def\footnoterule{\kern-10\p@ \hrule width .4\columnwidth height 0.4pt \kern 6.6\p@}
%
%%-------- maketitle --------%%
%
%
\renewcommand{\title}[1]{\gdef\tst@title{{\huge\bf #1}}}
\renewcommand{\author}[1]{\gdef\tst@author{{\normalsize #1}}}
%\renewcommand{\address}[1]{\gdef\tst@address{{\footnotesize\it#1}}}
%\newcommand{\email}[1]{\gdef\tst@email{{\centering\footnotesize (E-mail: #1)}}}
\renewcommand{\abstract}[1]{\gdef\tst@abstract{{\noindent\small {\bf Abstract}\quad #1}}}
\newcommand{\keyword}[1]{\gdef\tst@keyword{{\noindent\small {\bf Key words}\quad #1}}}
\newcommand{\doi}[1]{\gdef\tst@doi{{\noindent\small {\bf DOI}\quad #1}}}
%
%
\renewcommand{\maketitle}{\par\begingroup\def\thefootnote{}% the \thanks{} mark type is empty\def\footnotemark{}% and kill space from \thanks within author\def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%\long\def\@makefntext##1{\parindent 1em\noindent\hb@xt@0.5em{%\hss\@textsuperscript{\normalfont\@thefnmark}}##1}%\twocolumn[\@maketitle]%\thispagestyle{tst@firstheadings}%ssl\@thanks%\endgroup%\setcounter{footnote}{0}%\global\let\thanks\relax%\global\let\maketitle\relax%\global\let\@maketitle\relax%\global\let\@thanks\@empty%\global\let\@author\@empty%\global\let\@title\@empty%\global\let\title\relax%\global\let\author\relax%\global\let\and\relax%
%\global\let\cncl\relax%\global\let\email\relax%
%\global\let\tst@title\relax%\global\let\tst@author\relax%\global\let\tst@address\relax%\global\let\tst@abstract\relax%\global\let\tst@keyword\relax%\global\let\tst@doi\relax%
%\global\let\title\relax%\global\let\author\relax%\global\let\address\relax%\global\let\abstract\relax%\global\let\keyword\relax%\global\let\doi\relax%
}
%
\def\@maketitle{%\let\footnote\thanks%\newpage\null% an empty hbox\vskip 1.2\baselineskip%{\centering%{\tst@title\par}%{%\vskip 1.2em%\vskip 0.8\baselineskip%\begin{tabular}[t]{c}%\tst@author%\end{tabular}%\vskip 0.3em%\par%}%\vskip 0.2\baselineskip}%{\linespread{1.0}\selectfont\tst@abstract\par%\vskip 0.2\baselineskip%\tst@keyword\par%\vskip 0.2\baselineskip%\tst@doi\par}%\vskip 1.5\baselineskip%
}
%
\renewcommand{\refname}{\centering \normalsize\bf References}
%
\newenvironment{acknowledgement}{\vspace*{10pt}{\noindent\zihao{4}\bfseries Acknowledgements\par}\vspace*{10pt}\begingroup}{\par\endgroup
}
%
%%---------------- Define biography ----------------%%
\newenvironment{biography}[1][]{\vskip 0.4\baselineskip%
\zihao{5-}
\parpic{%
\includegraphics[height=3.0cm,width=2.4cm]{#1}}%
}{\vskip 0.4\baselineskip\par}%% For author who has no photo
\newenvironment{biographynophoto}{\vskip 0.4\baselineskip\zihao{5-}}{\vskip 0.4\baselineskip\par}%%---------------- Redefine section -----------------%%
\setcounter{secnumdepth}{3}\renewcommand\thesection {\@arabic\c@section}
\renewcommand\thesubsection {\thesection.\@arabic\c@subsection}
\renewcommand\thesubsubsection{\thesubsection .\@arabic\c@subsubsection}\renewcommand\section{\@startsection {section}{1}{\z@}%{-1.5ex \@plus -.2ex \@minus -.2ex}%{1.5ex \@plus.2ex}%{\zihao{4-}\bfseries}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%{-1.0ex \@plus -.2ex \@minus -.2ex}%{1.0ex \@plus .2ex}%{\zihao{5}\bfseries}}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%{-0.5ex \@plus -.0ex \@minus -.2ex}%{0.5ex \@plus .0ex}%{\zihao{5}\bfseries}}
\renewcommand*\l@section[2]{%\ifnum \c@tocdepth >\z@\addpenalty\@secpenalty\addvspace{1.0em \@plus\p@}%\setlength\@tempdima{1.5em}%\begingroup\parindent \z@ \rightskip \@pnumwidth\parfillskip -\@pnumwidth\leavevmode \bfseries\advance\leftskip\@tempdima\hskip -\leftskip#1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par\endgroup\fi}
%\newcommand{\firstheadname}[1]{\gdef\tst@firstheadname{\zihao{5-} #1}}
\newcommand{\firstfootname}[1]{\gdef\tst@firstfootname{#1}}
\newcommand{\headevenname}[1]{\gdef\tst@headevenname{{\zihao{5-} #1}}}
\newcommand{\headoddname}[1]{\gdef\tst@headoddname{{\zihao{5-} #1}}}%%------------------tst@firstheadings begin------------------------------------%%
\def\ps@tst@firstheadings{\let\@evenhead\@empty\let\@evenfoot\@empty\let\@oddhead\@empty\let\@oddfoot\@empty\def\@evenhead{%\vbox{%\vskip 3.2mm%\hbox to \textwidth{{\zihao{5-} \hbox{\tst@firstheadname} \hfill }}%\vskip 2.0mm%
% \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt\vskip0.85pt \hrule width\textwidth height0.63pt%}%}\def\@evenfoot{\hbox{\tst@firstfootname}}\let\@oddhead\@evenhead%\let\@oddfoot\@evenfoot%
}
%%-----------------tst@firstheadings end--------------------------------------%%
%%-------------------tstheadings begin----------------------------------------%%
\def\ps@tstheadings{\let\@evenhead\@empty\let\@evenfoot\@empty\let\@oddhead\@empty\let\@oddfoot\@empty\def\@evenhead{%\vbox{%\vskip 3.2mm%\hbox to \textwidth {\mbox{\hspace {2mm}} {\zihao{5-} \thepage} \hfill \hbox{\tst@headevenname} {\zihao{5-} \mbox{\hspace {2mm}}}}%
% \vskip 2.0mm%% \hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%}%}\def\@oddhead{%\vbox{%\vskip 3.2mm%\hbox to \textwidth {{\zihao{5-} \mbox{\hspace {0mm}} \tst@headoddname} \hfill {{\zihao{5-} \thepage} \mbox{\hspace {2mm}}}}%% \vskip 2.0mm%% \hbox to \textwidth{\noindent\rule[2mm]{\textwidth}{0.5pt}}%}}%
}
%---------------------headings end------------------------------------------%%
%
%%-------- Set the begin and end method for class -----%%
\AtBeginDocument{%\flushend\captiondelim{ } %\captionnamefont{\small}%\captiontitlefont{\small}%}
\AtEndDocument{\clearpage}
\endinput
%%-------- The end of tst.cls -------------%%2.9 yourphotofilename.jpg
三、编译运行
参考上一篇博客内容：https://blog.csdn.net/Gerald_Jones/article/details/121872680
VsCode下通过Latex运行计算机学报的模板相关推荐
- 计算机学报模板百度云,计算机学报论文模板.doc
文章题目 创 新 点 自 述 文章编号:1009-671X(2009)01-0004-04 文章题目 作 者1, 作 者2 (1.作者详细单位,省 市 邮编:2.作者详细单位,省 市 邮编) 摘 要: ...
- 二级c语言编译完程序如何运行,计算机二级C语言辅导：C++环境下编译和运行c语言...
一 单个文件运行 1 打开vc++出现如图 2 从file菜单中选择"new"→c++source file如图 3 单击"--"命令按扭,在choose di ...
- 打开电脑的组策略编辑器-计算机配置→管理模板下怎么没有网络,在“开始运行”中输入gpedit.msc，打开..._网络编辑_帮考网...
chanhengjue 新兵答主 05-30 TA获得超过3679个赞 是电脑的组策略 组策略是管理员为计算机和用户定义的,用来控制应用程序.系统设置和管理模板的一种机制.通俗一点说,是介于控制面板和 ...
- VSCode下使用markdown导出pdf，导出图片或插入LaTeX公式等使用记录（1）
记录一下自己觉得比较好用的markdown插件,以及在VSCode下编辑并将markdown的渲染结果导出pdf为或png等格式. 1.Markdown All in One VSCode下的mark ...
- vscode怎么配置python运行环境f5_VSCode下配置python调试运行环境的方法_python
这篇文章主要介绍了VSCode下配置python调试运行环境的方法,需要的朋友可以参考下 VSCode配置python调试环境 很久之前的一个东东,翻出来看看VSCode配置python调试环境 * ...
- 计算机学报官方给的Latex模板个别字乱码解决办法
计算机学报官方给的Latex模板个别字乱码解决办法 环境:Win10,WinEdt7.0 问题:在使用计算机学报官方给的Latex模板时出现如下问题:其中每次的"每"编译出错 原因 ...
- 计算机学报latex模板使用方法
1.登录计算机学报官网: http://cjc.ict.ac.cn/ 2.找到模板下载地址: 3.下载后得到压缩包,解压压缩包. 4.在ctex中打开刚才解压得到文件夹中的可执行文件 5.把对应的地方 ...
- qstudio c语言中文网,再整理：Visual Studio Code(vscode)下的通用C语言环境搭建
版权声明:本文为博主原创文章,遵循CC 4.0 BY-SA版权协议,转载请附上原文出处链接和本声明. 主要流程: 1.vscode的下载与简单配置 2.MinGw的下载与安装 3.配置系统环境变量 4 ...
- 在vscode中使用latex高效书写论文教程
1.latex和vscode来写论文高效在哪? 在latex中写论文相对于word而言,优势在于它页面渲染得好,写论文时更好看更学术,并且大部分期刊/会议都有latex的官方模板,我们要做的就是自学一 ...
- 计算机学报和软件学报19~20年测试类相关论文
软件学报,2019年第1期,关于"软件学科发展回顾特刊"值得一看. "中国计算机学会"的"数字图书馆"下的期刊列表. 未知协议的逆向分析与自 ...
最新文章
- 基于Hadoop的58同城离线计算平台设计与实践
- Oracle DML、DDL、DCL的区别
- mysql导出document_Mysql导入导出
- PHP之PHP文件引用详解
- 001.Linux开机启动过程
- python字符串join和+_Python字符串通过'+'和join函数拼接新字符串的性能测试比较
- Trick（十一）—— list of lists 每一个属性列的获取
- freemarker转PDF，分页，页眉和页脚，画图
- 分形之——谢尔宾斯基三角形
- 那些买了来客推商城V3多用户uni-app商城源码的客户体验怎么样？
- 目标检测 (Detection) 算法综述
- echart地图飞线图
- 计算机相关美文摘抄,半途而废的人生很美美文摘抄
- 【Nodejs】448- 深入学习 Node.js Buffer
- 智能指针shared_ptr引用计数工作原理
- lol哪个服务器能玩无限火力,《lol》2021无限火力时间表公告 无限火力什么时候开放...
- 不使用内置函数的情况下，如何使用Python实现求平均值、最大值和最小值？
- 关于vs开发生成exe.recipe文件
- 电脑桌面如何设置一个可移动的便签
- runtime(二) 给对象、分类添加实例变量