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							- % LLNCS DOCUMENT CLASS -- version 2.8
 
- % for LaTeX2e
 
- %
 
- \NeedsTeXFormat{LaTeX2e}[1995/12/01]
 
- \ProvidesClass{llncs}[2000/05/16 v2.8
 
- ^^JLaTeX 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@openbib\iffalse
 
- \DeclareOption{openbib}{\let\if@openbib\iftrue}
 
- \DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}
 
- \ProcessOptions
 
- \LoadClass[twoside]{article}
 
- \RequirePackage{multicol} % needed for the list of participants, index
 
- \setlength{\textwidth}{12.2cm}
 
- \setlength{\textheight}{19.3cm}
 
- % 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
 
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-     \vskip 40\p@
 
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- \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}
 
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- \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}}}}}
 
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- $\displaystyle##$\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}}}}}
 
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- \halign{\hfil
 
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- >\cr\noalign{\vskip-0.3pt}<\cr}}}}}
 
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- \def\bbbm{{\rm I\!M}}
 
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- \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}}}
 
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- to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
 
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- 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}}}}
 
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- Q$}\hbox{\raise
 
- 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
 
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- 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
 
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- 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}
 
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- \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}
 
- \def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else
 
- {chapter.\thechapter}\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{\@ifnextchar[{\@adcmk}{\@adcmk[3]}}
 
- \def\l@chapter#1#2{\addpenalty{-\@highpenalty}
 
-  \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup
 
-  \parindent \z@ \rightskip \@pnumwidth
 
-  \parfillskip -\@pnumwidth
 
-  \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
 
-  \parfillskip -\@tocrmarg
 
-  \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}
 
- \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{%
 
-   \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{\csname
 
-   ext@#1\endcsname}{#1}{\protect\numberline{\csname
 
-   the#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}
 
- \def\andname{and}
 
- \def\lastandname{\unskip, and}
 
- \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
 
-  \else
 
-    \setcounter{footnote}{\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}}{}}
 
- \def\homedir{\~{ }}
 
- \def\subtitle#1{\gdef\@subtitle{#1}}
 
- \clearheadinfo
 
- \renewcommand\maketitle{\newpage
 
-   \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\rm
 
-           Title 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}{{\protect\raggedright\protect\leftskip15\p@
 
-     \protect\rightskip\@tocrmarg
 
-     \protect\itshape\toc@uthor\protect\endgraf}}%
 
-     \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\rm
 
-           Authors Suppressed Due to Excessive Length}%
 
-        \fi
 
-        \xdef\@author{\copy\authrun}%
 
-        \markboth{\@author}{\@title}%
 
-      \fi
 
-   \endgroup
 
-   \setcounter{footnote}{0}%
 
-   \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}%
 
-  {\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
 
-   {\global\@namedef{the#1}{\@nameuse{the#2}}%
 
-   \expandafter\xdef\csname #1name\endcsname{#3}%
 
-   \global\@namedef{#1}{\@spthm{#2}{\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}{\csname
 
-        the#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}
 
- \renewcommand{\abstractname}{Abstract.}
 
- \renewcommand{\contentsname}{Table of Contents}
 
- \renewcommand{\figurename}{Fig.}
 
- \renewcommand{\tablename}{Table}
 
- \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
 
 
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