Shreffler:Basophil Paper/elsart

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%% %% This is file `elsart.cls', %% generated with the docstrip utility. %% %% The original source files were: %% %% esl.dtx (with options: `package,elsart,ONECOL,DEEPLIST') %% %% elsart.cls Copyright (C) 1994-2001 Elsevier Science %% %% This file may be distributed and/or modified under the %% conditions of the LaTeX Project Public License, either version 1.2 %% of this license or (at your option) any later version. %% The latest version of this license is in %% http://www.latex-project.org/lppl.txt %% and version 1.2 or later is part of all distributions of LaTeX %% version 1999/12/01 or later. %% \def\readRCS$#1: #2 #3 #4 #5${%

\def\RCSfile{#2}%
\def\RCSversion{#3}%
\def\RCSdate{#4}%

} \readRCS $Header: /home/cvs/ISEPD/product/awg/source/htdocs/latex/elsart.cls,v 1.1 2004/03/18 15:18:54 iowen Exp $ \def\@shortjnl{\relax}

\def\esp@fileversion{2.18}
\def\esp@filedate{2001/01/05}
\def\@journal{Elsevier Science} \def\@company{Elsevier Science}
 \def\@issn{000-0000}
 \def\@shortjid{elsart}

\NeedsTeXFormat{LaTeX2e}[1995/12/01] \ProvidesClass{\@shortjid}[\esp@filedate, \esp@fileversion: \@journal]

\newif\if@TwoColumn \newif\if@seceqn \newif\if@secthm \newif\if@nameyear \newif\if@Elproofing \@Elproofingfalse \DeclareOption{12pt}{} \DeclareOption{11pt}{} \DeclareOption{10pt}{} \DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse} \DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue} \@twocolumnfalse \DeclareOption{onecolumn}{\@twocolumnfalse\@TwoColumnfalse} \DeclareOption{twocolumn}{\@twocolumntrue\@TwoColumntrue} \let\snm\relax \let\cty\relax \let\cny\relax\let\jr\relax \newif\if@ussrhead \@ussrheadfalse \DeclareOption{ussrhead}{\@ussrheadtrue} \@seceqnfalse  % Default: equation numbering is not \DeclareOption{seceqn}{\@seceqntrue}  % reset at beginning of each section \@secthmfalse \DeclareOption{secthm}{\@secthmtrue} \@nameyearfalse \DeclareOption{nameyear}{\@nameyeartrue} \def\@blstr{1} \DeclareOption{doublespacing}{\def\@blstr{1.7}} \DeclareOption{reviewcopy}{\def\@blstr{1.7}} \newif\if@symbold\@symboldfalse \DeclareOption{symbold}{\@symboldtrue} \newif\if@amsthm\@amsthmfalse \DeclareOption{amsthm}{\@amsthmtrue}

\ExecuteOptions{oneside}
\ExecuteOptions{onecolumn,final}

\ProcessOptions \def\@pagenumprefix{} \def\author@font{} \def\partname{Part} \def\appendixname{Appendix} \def\contentsname{Contents} \def\listfigurename{List of Figures} \def\listtablename{List of Tables} \def\refname{References} \def\indexname{Index} \def\figurename{Fig.} \def\tablename{Table} \def\abstractname{Abstract} \lineskip 1\p@ \normallineskip 1\p@ \def\baselinestretch{1} \frenchspacing \def\cropwidth{297mm} \def\cropheight{210mm} \def\cropleft{0mm} \def\croptop{0mm} \def\FullCopyrightText{} \def\copyrightholder#1{\def\@copyrightholder{#1}} \newdimen\@frontmatterwidth \def\@overtitleskip{69\p@} \def\@overhistoryskip{\z@} \def\@undertitleskip{\z@} \def\@overkeywordskip{12\p@} \def\@overabstractskip{8\p@} \def\@overcaptionskip{8\p@} \def\@preabstractskip{24\p@ \@plus 6\p@ \@minus 3\p@} \def\@belowfmskip{18\p@} \def\@bibliosize{\small} \def\@historysize{\small} \def\@keywordsize{\small} \def\@overaddressskip{2pt} \def\@titlesize{\Large\bfseries} \def\@authorsize{\large} \def\@keywordheadingTemplate:\it Key words: \ \def\@addressstyle{\small\itshape} \def\@captionsize{\small} \def\@tablecaptionsize{\@captionsize} \def\@figurecaptionsize{\@captionsize} \def\@tablesize{\small} \def\@keywordwidth{.8\textwidth} \def\@abstractwidth{.8\textwidth} \def\@fignumfont#1{#1} \def\@secnumfont#1{\upshape} \def\@catchlinesize{\footnotesize} \def\@runheadsize{\normalsize} \def\etal{et al.} \def\AND{\&} \def\@Colofonheight{1cm} \def\@abstractsize{\fontsize{\@ixpt}{11pt}\selectfont} \def\@articletypesize{\fontsize{\@xiiipt}{13pt}\selectfont} \def\normalsize{\@setfontsize\normalsize\@xiipt{14.5}% \abovedisplayskip 12\p@ \@plus 2\p@ \@minus 2\p@% \belowdisplayskip \abovedisplayskip \abovedisplayshortskip \z@ \@plus 2\p@% \belowdisplayshortskip 3.5\p@ \@plus 2\p@ \@minus 2\p@ \let\@listi\@listI} \def\small{\@setfontsize\small\@xipt{13.6}% \abovedisplayskip 11\p@ \@plus3\p@ minus6\p@ \belowdisplayskip \abovedisplayskip \abovedisplayshortskip \z@ \@plus3\p@ \belowdisplayshortskip 6.5\p@ \@plus3.5\p@ minus3\p@ \def\@listi{\leftmargin\leftmargini

\parsep 4.5\p@ \@plus2\p@ minus\p@ \itemsep \parsep
           \topsep 9\p@ \@plus3\p@ minus5\p@}}

\let\footnotesize=\small \let\@xviiipt\@xviipt \def\scriptsize{\@setfontsize\scriptsize\@viiipt{9.5}} \def\tiny{\@setfontsize\tiny\@vipt{7}} \def\large{\@setfontsize\large\@xivpt{18}} \def\Large{\@setfontsize\Large\@xviipt{22}} \def\LARGE{\@setfontsize\LARGE\@xxpt{22}} \def\huge{\@setfontsize\huge\@xxvpt{27}} \let\Huge=\huge \normalsize  % Choose the normalsize font. \newdimen\@bls  % Several dimensions are \@bls=\baselineskip  % expressed in terms of this. \if@twoside  % Values for two-sided printing:

  \oddsidemargin   20\p@    %   Left margin on odd-numbered pages.
  \evensidemargin  20\p@    %   Left margin on even-numbered pages.
  \marginparwidth  10\p@    %   \@Width of marginal notes.

\else  % Values for one-sided printing:

  \oddsidemargin   20\p@    %   Left margin on odd-numbered pages.
  \evensidemargin  20\p@    %   Left margin on even-numbered pages.
  \marginparwidth   2pc

\fi \marginparsep 20\p@  % Horizontal space between outer margin and

                           % marginal note

\topmargin \z@  % Nominal distance from top of page to top of

                        %    box containing running head.

\headheight \z@  % \@Height of box containing running head. \headsep \z@  % Space between running head and text.

\footskip 40\p@

\bigskipamount=\@bls \@plus 0.3\@bls \@minus 0.3\@bls % 1/1 line \medskipamount=0.5\bigskipamount  % 1/2 line \smallskipamount=0.25\bigskipamount  % 1/4 line \@tempdima=651pt \advance\@tempdima -\topskip \@tempcnta=\@tempdima \@tempdimb=\@blstr\@bls \@tempcntb=\@tempdimb \divide\@tempcnta\@tempcntb \textheight\@tempdimb \multiply\textheight\@tempcnta \advance\textheight\topskip \textwidth 33pc  % \@Width of text line.

                            % For two-column mode:

\columnsep 2pc  % Space between columns \columnseprule \z@  % \@Width of rule between columns.

\footnotesep 8.4\p@

\skip\footins 12\p@ \@plus 8\p@  % Space between last line of text and

                                     % top of first footnote.

\floatsep 8\p@ \@plus 4\p@ \@minus 2\p@ % Space between adjacent floats moved

                                        % to top or bottom of text page.

\textfloatsep 8\p@ \@plus 4\p@ \@minus 2\p@ % Space between main text and floats

                                        % at top or bottom of page.

\intextsep 8\p@ \@plus 4\p@ \@minus 2\p@ % Space between in-text figures and

                                        % text.

\dblfloatsep 8\p@ \@plus 4\p@ \@minus 4\p@ % Same as \floatsep for double-column

                                        % figures in two-column mode.

\dbltextfloatsep 12\p@ \@plus 4\p@ \@minus 4\p@ % \textfloatsep for double-column

                                        % floats.

\@fptop \z@ \@plus 1fil  % Stretch at top of float page/column. (Must be

                        % \z@ \@plus ...)

\@fpsep 8\p@ \@plus 2fil  % Space between floats on float page/column. \@fpbot \z@ \@plus 1fil  % Stretch at bottom of float page/column. (Must be

                        % \z@ \@plus ... )

\@dblfptop \z@ \@plus 1fil % Stretch at top of float page. (Must be \z@ \@plus ...) \@dblfpsep 8\p@ \@plus 2fil % Space between floats on float page. \@dblfpbot \z@ \@plus 1fil % Stretch at bottom of float page. (Must be

                        % \z@ \@plus ... )

\marginparpush 5\p@  % Minimum vertical separation between two marginal

                        % notes.

\parskip 1pc \@plus 1\p@  % Extra vertical space between paragraphs. \parindent \z@  % Indentation of each paragraph. \newskip\eqntopsep  % Extra vertical space, in addition to

\eqntopsep 12\p@ \@plus 2\p@ \@minus 2\p@ %\parskip, added above and below

\newdimen\eqnarraycolsep  % Half the space between columns \eqnarraycolsep 1\p@  % in an \eqnarray. \@lowpenalty 51  % Produced by \nopagebreak[1] or \nolinebreak[1] \@medpenalty 151  % Produced by \nopagebreak[2] or \nolinebreak[2] \@highpenalty 301  % Produced by \nopagebreak[3] or \nolinebreak[3] \@beginparpenalty -\@lowpenalty  % Before a list or paragraph environment. \@endparpenalty -\@lowpenalty  % After a list or paragraph environment. \@itempenalty -\@lowpenalty  % Between list items. \def\section{\@startsection{section}{1}{\z@}{1.5\@bls

 \@plus .4\@bls \@minus .1\@bls}{\@bls}{\normalsize\bfseries}}

\def\subsection{\@startsection{subsection}{2}{\z@}{\@bls

 \@plus .3\@bls \@minus .1\@bls}{\@bls}{\normalsize\itshape}}

\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{\@bls

 \@plus .2\@bls}{0.0001pt}{\normalsize\itshape}}

\def\paragraph{\@startsection{paragraph}{4}{\z@}{3.25ex \@plus

 2ex \@minus 0.2ex}{-1em}{\normalsize\bfseries}}

\setcounter{secnumdepth}{4} \def\half@em{\hskip 0.5em} \def\lb@part{PART \thepart.\half@em}

 \def\lb@empty@part{PART \thepart}

\def\lb@section{\thesection.\half@em}

 \def\lb@empty@section{\thesection}

\def\lb@subsection{\thesubsection.\half@em}

 \def\lb@empty@subsection{\thesubsection}

\def\lb@subsubsection{\thesubsubsection.\half@em}

 \def\lb@empty@subsubsection{\thesubsubsection}

\def\lb@paragraph{\theparagraph.\half@em}

 \def\lb@empty@paragraph{\theparagraph}

\def\lb@subparagraph{\thesubparagraph.\half@em}

 \def\lb@empty@subparagraph{\thesubparagraph}

\def\head@format#1#2{#2} \def\head@style{\interlinepenalty\@M

 \hyphenpenalty\@M \exhyphenpenalty\@M
 \rightskip \z@ \@plus 0.5\hsize \relax
 }

\def\app@number#1{\setcounter{#1}{0}%

 \@addtoreset{#1}{section}%
 \@namedef{the#1}{\thesection.\arabic{#1}}}

\def\appendix{\@ifstar{\appendix@star}{\appendix@nostar}} \def\appendix@nostar{%

 \def\lb@section{\appendixname\ \thesection.\half@em}
 \def\lb@empty@section{\appendixname\ \thesection}
 \setcounter{section}{0}\def\thesection{\Alph{section}}%
 \setcounter{subsection}{0}%
 \setcounter{subsubsection}{0}%
 \setcounter{paragraph}{0}%
 \app@number{equation}\app@number{figure}\app@number{table}}

\def\appendix@star{%

 \def\lb@section{\appendixname}\let\lb@empty@section\lb@section
 \setcounter{section}{0}\def\thesection{\Alph{section}}%
 \setcounter{subsection}{0}%
 \setcounter{subsubsection}{0}%
 \setcounter{paragraph}{0}%
 \app@number{equation}\app@number{figure}\app@number{table}}

\def\ack{\section*{Acknowledgements}%

 \addtocontents{toc}{\protect\vspace{6pt}}%
 \addcontentsline{toc}{section}{Acknowledgements}%

} \@namedef{ack*}{\par\vskip 3.0ex \@plus 1.0ex \@minus 1.0ex} \let\endack\par \@namedef{endack*}{\par} \newdimen\labelwidthi \newdimen\labelwidthii \newdimen\labelwidthiii \newdimen\labelwidthiv \def\normal@labelsep{0.5em} \labelsep\normal@labelsep \settowidth{\labelwidthi}{(iii)} \settowidth{\labelwidthii}{(d)} \settowidth{\labelwidthiii}{(iii)} \settowidth{\labelwidthiv}{(M)} \leftmargini\labelwidthi \advance\leftmargini\labelsep \leftmarginii\labelwidthii \advance\leftmarginii\labelsep \leftmarginiii\labelwidthiii \advance\leftmarginiii\labelsep \leftmarginiv\labelwidthiv \advance\leftmarginiv\labelsep \def\setleftmargin#1#2{\settowidth{\@tempdima}{#2}\labelsep\normal@labelsep

 \csname labelwidth#1\endcsname\@tempdima
 \@tempdimb\@tempdima \advance\@tempdimb\labelsep
 \csname leftmargin#1\endcsname\@tempdimb}

\def\@listI{\leftmargin\leftmargini

 \labelwidth\labelwidthi \labelsep\normal@labelsep
 \topsep \z@ \partopsep\z@ \parsep\z@ \itemsep\z@
 \listparindent 1em}

\def\@listii{\leftmargin\leftmarginii

 \labelwidth\labelwidthii \labelsep\normal@labelsep
 \topsep\z@ \partopsep\z@ \parsep\z@ \itemsep\z@
 \listparindent 1em}

\def\@listiii{\leftmargin\leftmarginiii

 \labelwidth\labelwidthiii \labelsep\normal@labelsep
 \topsep\z@ \partopsep\z@ \parsep\z@ \itemsep\z@
 \listparindent 1em}

\def\@listiv{\leftmargin\leftmarginiv

 \labelwidth\labelwidthiv \labelsep\normal@labelsep
 \topsep\z@ \partopsep\z@ \parsep\z@ \itemsep\z@
 \listparindent 1em}

\let\@listi\@listI \@listi \def\left@label#1{{#1}\hss} \def\right@label#1{\hss\llap{#1}} \def\thick@label#1{\hspace\labelsep #1} \newcount\@maxlistdepth \@maxlistdepth=4 \def\labelitemi{$\bullet$} \def\labelitemii{$\cdot$} \def\labelenumi{(\theenumi)} \def\theenumi{\arabic{enumi}} \def\labelenumii{(\alph{enumii})} \def\theenumii{\theenumi\alph{enumii}} \def\labelenumiii{(\roman{enumiii})}\def\theenumiii{\theenumii.\roman{enumiii}} \def\labelenumiv{(\Alph{enumiv})} \def\theenumiv{\theenumiii.\Alph{enumiv}} \def\enumerate{%

 \ifnum \@enumdepth >\@maxlistdepth
   \@toodeep
 \else
   \advance\@enumdepth \@ne
   \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
   \list{\csname label\@enumctr\endcsname}%
      {\usecounter{\@enumctr}
      \let\makelabel=\right@label}
 \fi}

\def\itemize{%

 \ifnum \@itemdepth >\@maxlistdepth
   \@toodeep
 \else
   \advance\@itemdepth \@ne
   \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
    \setleftmargin{i}{--}%
    \setleftmargin{ii}{$\cdot$}%
   \list{\csname\@itemitem\endcsname}%
      {\let\makelabel\right@label}
 \fi}

\def\verse{\let\\=\@centercr

 \list{}{\itemsep\z@
 \itemindent \z@
 \listparindent\z@
 \rightmargin 1em
 \leftmargin \rightmargin}\item[]}

\let\endverse\endlist \def\quotation{\list{}{\itemindent\z@

\leftmargin 1em \rightmargin \z@
 \parsep \z@ \@plus 1pt}\item[]}

\let\endquotation=\endlist \def\quote{\list{}{\itemindent\z@

  \leftmargin 1em \rightmargin \z@}%

\item[]} \let\endquote=\endlist \def\descriptionlabel#1{\hspace\labelsep \bfseries #1} \def\description{\list{}{\labelwidth\z@

 \leftmargin 1em \itemindent-\leftmargin
 \let\makelabel\descriptionlabel}}

\let\enddescription\endlist \def\@atfmtname{atlplain} \ifx\fmtname\@atfmtname

\def\neq{\not\nobreak\mkern -2mu =}%
\let\ne\neq

\fi \def\operatorname#1{\mathop{\mathrm{#1}}\nolimits} \def\lefteqn#1{\hbox to\z@{$\displaystyle {#1}$\hss}} \newskip\eqnbaselineskip % Standard interline spacing in an {eqnarray} \jot=2\p@ \newskip\eqnlineskip  % Minimal space between the bottom of

                        % a line and the top of the next line.

\eqnbaselineskip=14\p@ \eqnlineskip=2\p@ \newdimen\mathindent \if@TwoColumn

 \mathindent 0em

\else

 \mathindent 2em

\fi \def\[{\relax\ifmmode\@badmath

 \else%\bgroup removed on request from BW (1993-05-17)
 \@beginparpenalty\predisplaypenalty
 \@endparpenalty\postdisplaypenalty
 \begin{trivlist}\@topsep \eqntopsep       % used by first \item
  \@topsepadd \eqntopsep                   % used by \@endparenv
 \item[]\leavevmode
  \hbox to\linewidth\bgroup$ \displaystyle
 \hskip\mathindent\bgroup\fi}

\def\]{\relax\ifmmode \egroup $\hfil \egroup

 \end{trivlist}% \egroup removed on request from BW (1993-05-17)
 \else \@badmath \fi}

\def\equation{\@beginparpenalty\predisplaypenalty

 \@endparpenalty\postdisplaypenalty
 \refstepcounter{equation}\trivlist
 \@topsep \eqntopsep                      % used by first \item
 \@topsepadd \eqntopsep                   % used by \@endparenv
 \item[]\leavevmode
  \hbox to\linewidth\bgroup $ \displaystyle \hskip\mathindent\bgroup}

\def\endequation{\egroup$\hfil \displaywidth\linewidth

 \@eqnnum\egroup \endtrivlist}

\def\eqnarray{%

 \par                                               %BW
 \noindent                                          %BW
 \baselineskip\eqnbaselineskip\lineskip\eqnlineskip %BW
 \lineskiplimit\eqnlineskip                         %BW
 \stepcounter{equation}%
 \let\@currentlabel=\theequation
 \global\@eqnswtrue
 \global\@eqcnt\z@
 \tabskip\mathindent
 \let\\=\@eqncr
 \abovedisplayskip\eqntopsep\ifvmode\advance\abovedisplayskip\partopsep\fi
 \belowdisplayskip\abovedisplayskip
 \belowdisplayshortskip\abovedisplayskip
 \abovedisplayshortskip\abovedisplayskip
 $$\halign to \displaywidth\bgroup\@eqnsel
   \pre@coli$\displaystyle\tabskip\z@{##}$\post@coli
   &\global\@eqcnt\@ne
   \pre@colii$\displaystyle{##}$\post@colii
   &\global\@eqcnt\tw@
   \pre@coliii $\displaystyle\tabskip\z@{##}$\post@coliii
   \tabskip\@centering&\llap{##}\tabskip\z@\cr

} \def\endeqnarray{\@@eqncr\egroup

\global\advance\c@equation\m@ne$$\global\@ignoretrue }

\def\pre@coli{\hskip\@centering} \def\post@coli{} \def\pre@colii{\hskip 2\eqnarraycolsep \hfil} \def\post@colii{\hfil} \def\pre@coliii{\hskip 2\eqnarraycolsep} \def\post@coliii{\hfil} \arraycolsep 2\p@  % Half the space between columns in array environment. \tabcolsep 6\p@  % idem in tabular environment. \def\arraystretch{1.5}  % More vertical space in tables \arrayrulewidth 0.4\p@  % \@Width of rules and space between adjacent \doublerulesep 2\p@  % rules in any of these two environments. \newdimen\rulepreskip \newdimen\rulepostskip \rulepreskip=4\p@ \rulepostskip=6\p@ \tabbingsep \labelsep  % Space used by the \' command. (See LaTeX{} manual.) \skip\@mpfootins = 6\p@ \@plus 2\p@  % Space between last line of text and

                                 % top of first footnote.

\fboxsep = 7\p@  % Space left between box and text by \fbox and \framebox. \fboxrule = 0.4\p@ % \@Width of rules in box made by \fbox and \framebox. \newcounter{section} \newcounter{subsection}[section] \newcounter{subsubsection}[subsection] \newcounter{paragraph}[subsubsection] \newcounter{subparagraph}[paragraph] \if@seceqn

\@addtoreset{equation}{section}
\def\theequation{\arabic{section}.\arabic{equation}}

\else

 \def\theequation{\arabic{equation}}

\fi \def\thesection {\arabic{section}} \def\thesubsection {\thesection.\arabic{subsection}} \def\thesubsubsection{\thesubsection.\arabic{subsubsection}} \def\theparagraph {\thesubsubsection.\arabic{paragraph}} \def\thesubparagraph {\theparagraph.\arabic{subparagraph}} \@addtoreset{section}{part} % reset section numbers at beginning of part

\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} \DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} \DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} \DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} \DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} \DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} \DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} \RequirePackage{latexsym} \def\qed{\relax\ifmmode\hskip2em \Box\else\unskip\nobreak\hskip1em $\Box$\fi} \def\proof@headerfont{\upshape\bfseries} \if@amsthm

 \RequirePackage{amsthm}%
 \def\th@plain{%
   \thm@preskip\parskip
   \thm@postskip\z@
   \itshape % body font
 }
 \def\th@definition{%
   \thm@preskip\parskip
   \thm@postskip\z@
   \normalfont % body font
 }
 \def\th@remark{%
   \thm@headfont{\itshape}%
   \normalfont % body font
   \thm@preskip\parskip \divide\thm@preskip\tw@
   \thm@postskip\z@
 }

\else\let\theoremstyle\@gobble\fi \newenvironment{pf}%

 {\par\addvspace{\@bls \@plus 0.5\@bls \@minus 0.1\@bls}\noindent
  {\bfseries\Elproofname}\enspace\ignorespaces}%
 {\par\addvspace{\@bls \@plus 0.5\@bls \@minus 0.1\@bls}}

\def\Elproofname{PROOF.} \@namedef{pf*}#1{\par\begingroup\def\Elproofname{#1}\pf\endgroup\ignorespaces} \expandafter\let\csname endpf*\endcsname=\endpf \theoremstyle{plain} \if@secthm

 \newtheorem{thm}{Theorem}[section]
 \@addtoreset{thm}{section}

\else

 \newtheorem{thm}{Theorem}

\fi \newtheorem{cor}[thm]{Corollary} \newtheorem{lem}[thm]{Lemma} \newtheorem{claim}[thm]{Claim} \newtheorem{axiom}[thm]{Axiom} \newtheorem{conj}[thm]{Conjecture} \newtheorem{fact}[thm]{Fact} \newtheorem{hypo}[thm]{Hypothesis} \newtheorem{assum}[thm]{Assumption} \newtheorem{prop}[thm]{Proposition} \newtheorem{crit}[thm]{Criterion} \theoremstyle{definition} \newtheorem{defn}[thm]{Definition} \newtheorem{exmp}[thm]{Example} \newtheorem{rem}[thm]{Remark} \newtheorem{prob}[thm]{Problem} \newtheorem{prin}[thm]{Principle} \newtheorem{alg}{Algorithm} \long\def\@makealgocaption#1#2{\vskip 2ex \small

 \hbox to \hsize{\parbox[t]{\hsize}Template:\bfseries}

\newcounter{algorithm} \def\thealgorithm{\@arabic\c@algorithm} \def\fps@algorithm{tbp} \def\ftype@algorithm{4} \def\ext@algorithm{lof} \def\fnum@algorithm{Algorithm \thealgorithm} \def\algorithm{\let\@makecaption\@makealgocaption\@float{algorithm}} \let\endalgorithm\end@float \newtheorem{note}{Note} \newtheorem{summ}{Summary} \newtheorem{case}{Case} \def\@pnumwidth{2.55em} \def\@tocrmarg{2.55em \@plus 5em} \def\@dotsep{-2.5} \setcounter{tocdepth}{2} \newcommand\listoffigures{%

   \section*{\listfigurename
     \@mkboth{\MakeUppercase\listfigurename}%
             {\MakeUppercase\listfigurename}}%
   \@starttoc{lof}%
   }

\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}} \newcommand\listoftables{%

   \section*{\listtablename
     \@mkboth{%
         \MakeUppercase\listtablename}{\MakeUppercase\listtablename}}%
   \@starttoc{lot}%
   }

\let\l@table\l@figure \def\tableofcontents{%

 \begin{small}
 \leftline Template:\bfseries \contentsname\/
 \setcounter{secnumdepth}{4}%
 \setcounter{tocdepth}{2}%
 {\@starttoc{toc}}%

\end{small} } \newcommand*\l@section{\@dottedtocline{1}{1.5em}{2.3em}} \newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}} \newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}} \newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}} \newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}} \def\@dotsep{2000} \def\thebibliography{%

 \@startsection{section}{1}{\z@}{20\p@ \@plus 8\p@ \@minus 4pt}
 {\@bls}{\normalsize\bfseries}*{\refname}%

\addcontentsline{toc}{section}{\refname}%

 \@thebibliography}

\let\endthebibliography=\endlist \def\@thebibliography#1{\@bibliosize

 \list{\@biblabel{\arabic{enumiv}}}{\settowidth\labelwidth{\@biblabel{#1}}
 \if@nameyear
   \labelwidth\z@ \labelsep\z@ \leftmargin\parindent
   \itemindent-\parindent
 \else
   \labelsep 3\p@ \itemindent\z@
   \leftmargin\labelwidth \advance\leftmargin\labelsep

\fi

    \itemsep 0.3\@bls \@plus 0.1\@bls \@minus 0.1\@bls
   \usecounter{enumiv}\let\p@enumiv\@empty
   \def\theenumiv{\arabic{enumiv}}}%
   \tolerance\@M
  \hyphenpenalty\@M
    \hbadness5000 \sfcode`\.=1000\relax}

\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em} \if@nameyear

 \def\@biblabel#1{}

\else

\def\@biblabel#1{[#1]\hskip \z@ \@plus 1filll}

\fi \let\make@bb@error\relax \def\@mkbberr{\def\bibitem{\ClassError{elsart}%

   {Bibitem after note}%
   {You are using a bibitem after a note in a subbibitems
     environment;\MessageBreak
     note should the last item in a subbibitems environment}}}

\def\@itemnote{\make@bb@error\item[]} \def\mk@noitemnote{\ifx\@tempa\note \let\note\@noitemnote \fi} \def\@noitemnote{\let\note\@itemnote} \AtBeginDocument{%

 \let\nopeek@bibitem\@bibitem
 \let\nopeek@lbibitem\@lbibitem
 \def\@bibitem#1{\let\note\@itemnote\nopeek@bibitem{#1}%
   \futurelet\@tempa\mk@noitemnote}
 \def\@lbibitem[#1]#2{\let\note\@itemnote\nopeek@lbibitem[#1]{#2}%
   \futurelet\@tempa\mk@noitemnote}

} \newif\if@natbibloaded\@natbibloadedfalse \AtBeginDocument{\@ifpackageloaded{natbib}{\@natbibloadedtrue}{}} \newenvironment{subbibitems}[1]{%

 \if@natbibloaded\def\bib@ctr{NAT@ctr}\else\def\bib@ctr{enumiv}\fi
 \if@filesw {\let \protect \noexpand \immediate \write \@auxout
   {\string \nocollapse@cites}%
   \global\let\nocollapse@cites\relax}\fi
 \def\@itemslabel{#1}%
 \stepcounter{\bib@ctr}%
 \edef\main@bibnum{\the\value{\bib@ctr}}%
 \setcounter{\bib@ctr}{0}%
 \def\thebib@ctr{\main@bibnum\alph{\bib@ctr}}%
 \if@natbibloaded
   \def\bibitem{\@ifnextchar [{\@lbibitem }{\global \NAT@stdbsttrue
       \stepcounter {\bib@ctr}\@lbibitem [\thebib@ctr]}}%
 \else
   \def\@bibitem##1{\stepcounter{\bib@ctr}\@lbibitem[\thebib@ctr]{##1}}%
 \fi
 \let\make@bb@error\@mkbberr

}{%

 \if@filesw {%
   \if@natbibloaded{%
     \let\protect\noexpand
     \immediate\write\@auxout {\string\bibcite{\@itemslabel}%
       {{\main@bibnum a--\alph {\bib@ctr}}{}{{}}{{}}}}%
     \immediate\write\@auxout {\string\bibcite{\@itemslabel :s}%
       {{\main@bibnum}{}{{}}{{}}}}%
   }\else{%
     \let\protect\noexpand
     \immediate\write\@auxout {\string\bibcite{\@itemslabel}%
       {\main@bibnum a--\alph{\bib@ctr}}}%
     \immediate\write\@auxout {\string\bibcite{\@itemslabel :s}%
       {\main@bibnum}}%
   }\fi
 }\fi
 \setcounter{\bib@ctr}{\main@bibnum}%

} \let\nocollapse@citex\@citex \newcount\@tempcntc \def\collapse@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}}

\let\@citex\collapse@citex \def\nocollapse@cites{%

 \@ifpackageloaded{hyperref}{}{\global\let\@citex\nocollapse@citex}%
 \global\let\nocollapse@cites\relax}

\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else\@citea\def\@citea{,}%

\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}

\@namedef{cv*}{\section*{Curriculum Vitae}\cv}

\def\cv{\hangindent=7pc \hangafter=-12 \parskip\bigskipamount \small}

\def\footnote{\@ifnextchar[{\@xfootnote}{\refstepcounter

  {\@mpfn}\protected@xdef\@thefnmark{\thempfn}\@footnotemark\@footnotetext}}

\def\footnotemark{\@ifnextchar[{\@xfootnotemark

   }{\refstepcounter{footnote}\xdef\@thefnmark{\thefootnote}\@footnotemark}}

\def\footnoterule{\kern-3\p@

 \hrule \@width 3pc               % The \hrule has default \@height of 0.4pt.
 \kern 2.6\p@}

\def\thempfootnote{\alph{mpfootnote}} \def\mpfootnotemark{%

 \@ifnextchar[{\@xmpfootnotemark}{\stepcounter{mpfootnote}%
 \begingroup
   \let\protect\noexpand
   \xdef\@thefnmark{\thempfootnote}%
 \endgroup
 \@footnotemark}}

\def\@xmpfootnotemark[#1]{%

 \begingroup
   \c@mpfootnote #1\relax
   \let\protect\noexpand
   \xdef\@thefnmark{\thempfootnote}%
 \endgroup
 \@footnotemark}

\def\@mpmakefnmark{\,\hbox{$^{\mathrm{\@thefnmark}}$}} \long\def\@mpmakefntext#1{\noindent

                    \hbox{$^{\mathrm{\@thefnmark}}$} #1}

\def\@iiiminipage#1#2[#3]#4{%

 \leavevmode
 \@pboxswfalse
 \setlength\@tempdima{#4}%
 \def\@mpargs{{#1}{#2}[#3]{#4}}%
 \setbox\@tempboxa\vbox\bgroup
   \color@begingroup
     \hsize\@tempdima
     \textwidth\hsize \columnwidth\hsize
     \@parboxrestore
     \def\@mpfn{mpfootnote}\def\thempfn{\thempfootnote}\c@mpfootnote\z@
     \let\@footnotetext\@mpfootnotetext
     \let\@makefntext\@mpmakefntext
     \let\@makefnmark\@mpmakefnmark
     \let\@listdepth\@mplistdepth \@mplistdepth\z@
     \@minipagerestore\global\@minipagetrue %% \global added 24 May 89
     \everypar{\global\@minipagefalse\everypar{}}}

\def\fn@presym{} \long\def\@makefntext#1{\noindent\hbox to 1em

 {$^{\fn@presym\mathrm{\@thefnmark}}$\hss}#1}

\def\@makefnmark{\,\hbox{$^{\fn@presym\mathrm{\@thefnmark}}$}\,} \def\patched@end@dblfloat{%

 \if@twocolumn
     \par\vskip\z@skip      %% \par\vskip\z@ added 15 Dec 87
     \global\@minipagefalse
     \outer@nobreak
   \egroup                  %% end of vbox
   \color@endbox
   \ifnum\@floatpenalty <\z@
     \@largefloatcheck
     \@cons\@dbldeferlist\@currbox
   \fi
   \ifnum \@floatpenalty =-\@Mii \@Esphack\fi
 \else
   \end@float
 \fi

} \setcounter{topnumber}{5} \def\topfraction{0.99} \def\textfraction{0.05} \def\floatpagefraction{0.9} \setcounter{bottomnumber}{5} \def\bottomfraction{0.99} \setcounter{totalnumber}{10} \def\dbltopfraction{0.99} \def\dblfloatpagefraction{0.8} \setcounter{dbltopnumber}{5} \long\def\@maketablecaption#1#2{\@tablecaptionsize

   \global \@minipagefalse
   \hbox to \hsize{\parbox[t]{\hsize}{#1 \\ #2}}}

\long\def\@makefigurecaption#1#2{\@figurecaptionsize

 \vskip \@overcaptionskip
 \setbox\@tempboxa\hbox{#1. #2}
 \ifdim \wd\@tempboxa >\hsize              % IF longer than one line THEN
   \unhbox\@tempboxa\par                   %   set as justified paragraph
 \else                                     % ELSE
   \global \@minipagefalse
   \hbox to\hsize{\hfil\box\@tempboxa\hfil}%   center single line.
 \fi}

\def\@makecaption{\@makefigurecaption} \def\conttablecaption{\par \begingroup \@parboxrestore \normalsize

 \@makecaption{\fnum@table\,---\,continued}{}\par
 \vskip-1pc \endgroup}

\def\contfigurecaption{\vskip-1pc \par \begingroup \@parboxrestore

 \@captionsize
 \@makecaption{\fnum@figure\,---\,continued}{}\par
 \endgroup}

\newcounter{figure} \def\thefigure{\@arabic\c@figure} \def\fps@figure{tbp} \def\ftype@figure{1} \def\ext@figure{lof} \def\fnum@figure{\figurename~\thefigure} \def\figure{%

\let\@makecaption\@makefigurecaption
 \let\contcaption\contfigurecaption \@float{figure}}

\let\endfigure\end@float \@namedef{figure*}{%

\let\@makecaption\@makefigurecaption
 \let\contcaption\contfigurecaption \@dblfloat{figure}}

\@namedef{endfigure*}{\end@dblfloat} \newcounter{table} \def\thetable{\@arabic\c@table} \def\fps@table{tbp} \def\ftype@table{2} \def\ext@table{lot} \def\fnum@table{\tablename~\thetable} \let\old@floatboxreset\@floatboxreset \def\table{% \let\@makecaption\@maketablecaption \def\@floatboxreset{%

\old@floatboxreset
\@tablesize

}%

 \let\footnoterule\relax
 \let\contcaption\conttablecaption \@float{table}}

\let\endtable\end@float \@namedef{table*}{% \let\@makecaption\@maketablecaption \def\@floatboxreset{%

\old@floatboxreset
\@tablesize

}%

 \let\footnoterule\relax
 \let\contcaption\conttablecaption \@dblfloat{table}}

\@namedef{endtable*}{\end@dblfloat} \newtoks\t@glob@notes  % List of all notes \newtoks\t@loc@notes  % List of notes for one element \newcount\note@cnt  % Number of notes per element \newtoks\corauth@text \newtoks\email@text \newtoks\url@text \newcounter{corauth} \newcounter{author}  % Author counter \newcount\n@author  % Total number of authors \def\n@author@{1}  % idem, read from .aux file \newcounter{collab}  % Collaboration counter \newcount\n@collab  % Total number of collaborations \def\n@collab@{}  % idem, read from .aux file \newcounter{address}  % Address counter \def\theHaddress{\arabic{address}}% for hyperref \newdimen\sv@mathsurround  % Dimen register to save \mathsurround \newcount\sv@hyphenpenalty  % Count register to save \hyphenpenalty \newcount\prev@elem \prev@elem=0  % Variables to keep track of \newcount\cur@elem \cur@elem=0  % types of elements that are processed \chardef\e@title=1 \chardef\e@subtitle=1 \chardef\e@author=2 \chardef\e@collab=3 \chardef\e@address=4 \newif\if@newelem  % Switch to new type of element? \newif\if@firstauthor  % First author or collaboration? \newif\if@preface  % If preface: omit history and abstract \newif\if@hasabstract  % If abstract / keywords: do not omit rules \newif\if@haskeywords  % If abstract / keywords: do not omit rules \newbox\fm@box  % Box for collected front matter \newdimen\fm@size  % Total height of \fm@box \newbox\t@abstract  % Box for abstract \newbox\t@keyword  % Box for keyword abstract

\let\report@elt\@gobble

\def\add@tok#1#2{\global#1\expandafter{\the#1#2}} \def\add@xtok#1#2{\begingroup

 \no@harm
 \xdef\@act{\global\noexpand#1{\the#1#2}}\@act

\endgroup} \def\beg@elem{\global\t@loc@notes={}\global\note@cnt\z@} \def\@xnamedef#1{\expandafter\xdef\csname #1\endcsname} \def\no@harm{%

 \let\\=\relax  \let\rm\relax
 \let\ss=\relax \let\ae=\relax \let\oe=\relax
 \let\AE=\relax \let\OE=\relax
 \let\o=\relax  \let\O=\relax
 \let\i=\relax  \let\j=\relax
 \let\aa=\relax \let\AA=\relax
 \let\l=\relax  \let\L=\relax
 \let\d=\relax  \let\b=\relax \let\c=\relax
 \let\bar=\relax
 \def\protect{\noexpand\protect\noexpand}}

\def\proc@elem#1#2{\begingroup

   \no@harm                             % make a few instructions harmless
   \let\thanksref\@gobble               % remove \thanksref from element
   \let\corauthref\@gobble
   \@xnamedef{@#1}{#2}%                 % and store as \@#1
   \let\thanksref\add@thanksref
   \let\corauthref\add@thanksref
   \setbox\@tempboxa\hbox{#2}%
 \endgroup
 \prev@elem=\cur@elem                   % keep track of type of previous
 \cur@elem=\csname e@#1\endcsname       % and current element

} \def\add@thanksref#1{\global\advance\note@cnt\@ne

 \ifnum\note@cnt>\@ne \add@xtok\t@loc@notes{\note@sep}\fi
 \add@tok\t@loc@notes{\ref{#1}}}

\def\note@sep{,} \def\thanks{\@ifnextchar[{\@tempswatrue

 \thanks@optarg}{\@tempswafalse\thanks@optarg[]}}

\def\thanks@optarg[#1]#2{\refstepcounter{footnote}%

 \if@tempswa\label{#1}\else\relax\fi
 \add@tok\t@glob@notes{\footnotetext}%
 \add@xtok\t@glob@notes{[\the\c@footnote]}%
 \add@tok\t@glob@notes{{#2}}%
 \ignorespaces}

\def\corauth{\@ifnextchar[{\@tempswatrue

 \corauth@optarg}{\@tempswafalse\corauth@optarg[]}}

\def\corauth@optarg[#1]#2{\refstepcounter{corauth}%

 \if@tempswa\label{#1}\else\relax\fi
 \add@tok\corauth@text{\footnotetext}%
 \add@xtok\corauth@text{[\the\c@corauth]}%
 \add@tok\corauth@text{{#2}}\ignorespaces}

\newcommand\ead[1][email]{%

 \add@eadcomma{#1}%
 \expandafter\ifcase\csname has@ead@#1\endcsname
 \expandafter\global\expandafter\chardef
   \csname has@ead@#1\endcsname=1\relax\else
 \expandafter\global\expandafter\chardef
   \csname has@ead@#1\endcsname=2\relax\fi
 \add@ead{#1}%

} \def\add@ead#1#2{%

 \expandafter\add@tok\csname #1@text\endcsname{\texttt{#2}\ead@au}%
 \expandafter\add@xtok\csname #1@text\endcsnameTemplate:\@author%
 \ignorespaces

} \def\add@eadcomma#1{%

 \expandafter\ifcase\csname has@ead@#1\endcsname\else
 \expandafter\add@tok\csname #1@text\endcsname{, }\fi

} \let\@ead@au\@empty \def\ead@newau{\ifx\@ead@au\@empty\else\ead@addau\@ead@au

 \let\@ead@au\@empty\fi}

\let\ead@endau\ead@newau \def\ead@addau#1{ (#1)} \def\ead@au#1{\edef\@ead@au{#1}} \def\email@name{Email address} \def\emails@name{Email addresses} \chardef\has@ead@email=0 \def\url@name{URL} \def\urls@name{URLs} \chardef\has@ead@url=0 \let\real@refstepcounter\refstepcounter \def\footnote{\@ifnextchar[{\@xfootnote}{\real@refstepcounter

  {\@mpfn}\protected@xdef\@thefnmark{\thempfn}\@footnotemark\@footnotetext}}

\def\footnotemark{\@ifnextchar[{\@xfootnotemark

   }{\real@refstepcounter{footnote}\xdef\@thefnmark{\thefootnote}\@footnotemark}}

\def\footnoterule{\kern-3\p@

 \hrule \@width 3pc               % The \hrule has default \@height of 0.4pt.
 \kern 2.6\p@}
\let\report@elt\@gobble

\newenvironment{NoHyper}{}{} \def\frontmatter{%

 \NoHyper
 \let\@corresp@note\relax
 \global\t@glob@notes={}\global\c@author\z@
 \global\c@collab\z@ \global\c@address\z@
 \sv@mathsurround\mathsurround \m@th
 \global\n@author=0\n@author@\relax
 \global\n@collab=0\n@collab@\relax
 \global\advance\n@author\m@ne   % In comparisons later on we need
 \global\advance\n@collab\m@ne   % n@author-1 and n@collab-1
 \global\@firstauthortrue        % set to false by first \author or \collab
 \global\@hasabstractfalse       % Default:  no abstract or keywords
 \global\@haskeywordsfalse       % Default:  no abstract or keywords
 \global\@prefacefalse           %           not preface
 \ifnum\c@firstpage=\c@lastpage
   \gdef\@pagerange{\@pagenumprefix\ESpagenumber{firstpage}}
 \else
   \gdef\@pagerange{\@pagenumprefix
  \ESpagenumber{firstpage}--\@pagenumprefix\ESpagenumber{lastpage}}%
 \fi
\parskip 4\p@
 \open@fm \ignorespaces}

\def\preface{\@prefacetrue} \def\endfrontmatter{%

 \ifx\@runauthor\relax
  \global\let\@runauthor\@runningauthor
 \fi
 \global\n@author=\c@author
 \global\n@collab=\c@collab \@writecount
 \global\@topnum\z@
 \thispagestyle{copyright}%            % Format rest of front matter:
 \if@preface \else                     % IF not preface THEN
 \vskip \@overhistoryskip
 \history@fmt                          % print history (received, ...)
 \newcount\c@sv@footnote
 \global\c@sv@footnote=\c@footnote     % save current footnote number
 \if@hasabstract                       % IF abstract/ keywords THEN
  \vskip \@preabstractskip     % Space above rule
 \hrule height 0.4\p@                 % Rule above abstract/keywords
   \vskip 8\p@
   \unvbox\t@abstract                  % print abstract, if any
 \fi
 \if@haskeywords                       % IF keywords THEN
   \vskip \@overkeywordskip
   \unvbox\t@keyword                   % Keyword abstract, if any
 \fi                                   % FI
 \vskip 10\p@
 \hrule height 0.4\p@                 % rule below abstract/keywords
 \dedicated@fmt                        % print dedication
 \vskip \@belowfmskip                  % Vertical space below frontmatter

\fi  % FI

 \close@fm                             % Close front matter material.
  \output@glob@notes  % Put notes at bottom of 1st page
 \global\c@footnote=\c@sv@footnote     % restore footnote number
 \global\@prefacefalse
 \global\leftskip\z@                   % Restore the normal values of
 \global\@rightskip\z@                 % \leftskip,
 \global\rightskip\@rightskip          % \rightskip and
 \global\mathsurround\sv@mathsurround  % \mathsurround.
 \let\title\relax       \let\author\relax
 \let\collab\relax      \let\address\relax
 \let\frontmatter\relax \let\endfrontmatter\relax
 \let\@maketitle\relax  \let\@@maketitle\relax
 \normal@text

} \let\maketitle\relax \newdimen\t@xtheight \t@xtheight\textheight \advance\t@xtheight-\splittopskip \def\open@fm{\global\setbox\fm@box=\vbox\bgroup

 \hsize=\@frontmatterwidth                 % Front matter is page-wide by default
 \centering                                % and centered
 \sv@hyphenpenalty\hyphenpenalty           % (save \hyphenpenalty)
 \hyphenpenalty\@M}                        % and not hyphenated

\def\close@fm{\egroup  % close \vbox (\fm@box)

 \fm@size=\dp\fm@box \advance\fm@size by \ht\fm@box
 \@whiledim\fm@size>\t@xtheight \do{%
   \global\setbox\@tempboxa=\vsplit\fm@box to \t@xtheight
   \unvbox\@tempboxa \newpage
   \fm@size=\dp\fm@box \advance\fm@size by \ht\fm@box}
 \if@TwoColumn
   \emergencystretch=1pc \twocolumn[\unvbox\fm@box]
 \else
   \unvbox\fm@box
 \fi}

\def\output@glob@notes{\bgroup

 \the\t@glob@notes
 \egroup}

\def\justify@off{\let\\=\@normalcr

 \leftskip\z@ \@rightskip\@flushglue \rightskip\@rightskip}

\def\justify@on{\let\\=\@normalcr

 \leftskip\z@ \@rightskip\z@ \rightskip\@rightskip}

\def\normal@text{\global\let\\=\@normalcr

 \global\leftskip\z@ \global\@rightskip\z@ \global\rightskip\@rightskip
 \global\parfillskip\@flushglue}

\def\@writecount{\write\@mainaux{\string\global

 \string\@namedef{n@author@}{\the\n@author}}%
 \write\@mainaux{\string\global\string
 \@namedef{n@collab@}{\the\n@collab}}}

\def\title#1{%

 \beg@elem
 \title@note@fmt                      % formatting instruction
 \add@tok\t@glob@notes                % for \thanks commands
   {\title@note@fmt}%
 \proc@elem{title}{#1}%
 \def\title@notes{\the\t@loc@notes}%  % store the notes of the title,
 \title@fmt{\@title}{\title@notes}%   % print the title
 \ignorespaces}

\def\subtitle#1{%

 \beg@elem
 \proc@elem{subtitle}{#1}%
 \def\title@notes{\the\t@loc@notes}%  % store the notes of the title,
 \subtitle@fmt{\@subtitle}{\title@notes}% print the title
 \ignorespaces}

\newdimen \@logoheight \@logoheight 5pc \def\@Lhook{\vrule \@height \@logoheight \@width \z@ \vrule \@height 10\p@ \@width 0.2\p@ \vrule \@height 0.2\p@ \@width 10pt} \def\@Rhook{\vrule \@height 0.2\p@ \@width 10\p@ \vrule \@height 10\p@ \@width 0.2\p@ \vrule \@height \@logoheight \@width \z@} \def\title@fmt#1#2{% \@ifundefined{@runtitle}{\global\def\@runtitle{#1}}{}%

\vspace*{12pt}             % Vertical space above title
 {\@titlesize #1\,\hbox{$^{#2}$}\par}%
 \vskip\@undertitleskip

\vskip24\p@  % Vertical space below title

 }

\def\subtitle@fmt#1#2{%  % No vertical space above sub-title

 {\@titlesize #1\,\hbox{$^{#2}$}}\par}

\def\title@note@fmt{\def\thefootnote{\fnstar{footnote}}} \def\author{\@ifnextchar[{\author@optarg}{\author@optarg[]}} \def\author@optarg[#1]#2{\stepcounter{author}%

 \beg@elem
 \add@tok\email@text{\ead@newau}%
 \add@tok\url@text{\ead@newau}%
 \@for\@tempa:=#1\do{\expandafter\add@thanksref\expandafter{\@tempa}}%
 \report@elt{author}\proc@elem{author}{#2}%
 \ifnum0\n@collab@=\z@ \runningauthor@fmt \fi
 \author@fmt{\the\c@author}{\the\t@loc@notes}{\@author}%

} \def\runningauthor@fmt{%

 \begingroup\no@harm
   \if@firstauthor
     \ifnum0\n@author@ > 2
       \global\edef\@runningauthor{\@author\ et al.}%
     \else
       \global\let\@runningauthor\@author%
     \fi
   \else % \c@author > 1
     \ifnum0\n@author@ = 2
       \global\edef\@runningauthor{\@runningauthor\ \& \noexpand\@author}%
     \fi
   \fi
 \endgroup

} \def\author@fmt#1#2#3{\@newelemtrue

 \if@firstauthor
 \first@author \global\@firstauthorfalse \fi
 \ifnum\prev@elem=\e@author \global\@newelemfalse \fi
 \if@newelem \author@fmt@init \fi
 \edef\@tempb{#2}\ifx\@tempb\@empty
   \hboxTemplate:\author@font\else
   \hboxTemplate:\author@font$}%
 \fi}

\def\first@author{\author@note@fmt

 \corauth@mark@fmt
 \add@tok\t@glob@notes
 {\output@corauth@text
   \output@ead@text{email}%
   \output@ead@text{url}%
   \author@note@fmt}%

}% \def\author@fmt@init{%

 \par
 \vskip 8\p@ \@plus 4\p@ \@minus 2\p@
 \@authorsize
 \leavevmode}                        % Vertical space above author list
\def\and{\unskip~and~}

\def\collab{\@ifstar{\collab@arg}{\collab@arg}} \let\collaboration=\collab \def\collab@arg#1{\stepcounter{collab}%

 \if@firstauthor \first@collab \global\@firstauthorfalse \fi
 \gdef\@runningauthor{#1}%
 \beg@elem
 \proc@elem{collab}{#1}%
 \collab@fmt{\the\c@collab}{\the\t@loc@notes}{\@collab}%
 \ignorespaces}

\def\collab@fmt#1#2#3{\@newelemtrue

 \ifnum\prev@elem=\e@collab \global\@newelemfalse \fi
 \if@newelem \collab@fmt@init \fi
 \par                                 % Start new paragraph
 {\large #3\,$^{\mathrm{#2}}$}}

\def\first@collab{

 \collab@note@fmt                     % re-define \thefootnote as
 \add@tok\t@glob@notes                % appropriate for collab/address
   {\collab@note@fmt}}%

\def\collab@fmt@init{\vskip 1em}  % Vertical space above list \def\author@note@fmt{\setcounter{footnote}{0}%

 \def\thefootnote{\xarabic{footnote}}}

\let\collab@note@fmt=\author@note@fmt \def\corauth@mark@fmt{\def\thecorauth{\astsymbol{corauth}}} \def\output@corauth@text{\def\thefootnote{\astsymbol{footnote}}%

 \the\corauth@text}

\def\output@ead@text#1{%

 \expandafter\add@tok\csname #1@text\endcsname{\ead@endau}%
 \expandafter\ifcase\csname has@ead@#1\endcsname\else
 {\let\thefootnote\relax
   \footnotetext[0]{\raggedright\textit{%
       \expandafter\ifcase\csname has@ead@#1\endcsname\or
       \csname #1@name\endcsname\else
       \csname #1s@name\endcsname\fi
       : }%
       \expandafter\the\csname #1@text\endcsname.}}%
   \fi}

\def\xarabic#1{%

 \expandafter\expandafter\expandafter\ifnum\expandafter\the\@nameuse{c@#1}<0
 *\else\arabic{#1} \fi}

\def\xalph#1{%

 \expandafter\expandafter\expandafter\ifnum\expandafter\the\@nameuse{c@#1}<0
 *\else\alph{#1} \fi}

\def\xfnsymbol#1{%

 \expandafter\expandafter\expandafter\ifnum\expandafter\the\@nameuse{c@#1}<0
 *\else\fnsymbol{#1} \fi}

\def\address{\@ifstar{\address@star}%

 {\@ifnextchar[{\address@optarg}{\address@noptarg}}}

\def\address@optarg[#1]#2{\real@refstepcounter{address}%

 \beg@elem
 \report@elt{address}\proc@elem{address}{#2}%
 \address@fmt{\c@address}{\the\t@loc@notes}{\@address}{#1}%
 \if@Elproofing\else\label{#1}\fi
 \ignorespaces}

\def\address@noptarg#1{\real@refstepcounter{address}%

 \beg@elem
 \proc@elem{address}{#1}%
 \address@fmt{\z@}{\the\t@loc@notes}{\@address}{\theaddress}%
 \ignorespaces}

\def\address@star#1{%

 \beg@elem
 \proc@elem{address}{#1}%
 \address@fmt{\m@ne}{\the\t@loc@notes}{\@address}{*}%
 \ignorespaces}

\def\theaddress{\alph{address}} \def\address@fmt#1#2#3#4{\@newelemtrue

 \if@Elproofing\def\@eltag{#4}\else\def\@eltag{\theaddress}\fi
 \ifnum\prev@elem=\e@address \@newelemfalse \fi
 \if@newelem \address@fmt@init \fi
 \noindent \bgroup \@addressstyle
 \ifnum#1=\z@
   #3\,$^{\mathrm{#2}}$\space%
 \else
   \ifnum#1=\m@ne
     $^{\phantom{\mathrm{\@eltag}}}$\space #3\,$^{\mathrm{#2}}$%
   \else
     $^{\mathrm{\@eltag}}\space$#3\,$^{\mathrm{#2}}$%
   \fi
 \fi
 \par \egroup}

\def\address@fmt@init{%

 \par                                % Start new paragraph
  \vskip 6\p@ \@plus 3\p@ \@minus 1.5pt}

\def\abstract{\@ifnextchar[{\@abstract}{\@abstract[]}} \def\@abstract[#1]{%

 \global\@hasabstracttrue
 \hyphenpenalty\sv@hyphenpenalty     % restore \hyphenpenalty
 \global\setbox\t@abstract=\vbox\bgroup
 \leftskip\z@
 \@rightskip\z@ \rightskip\@rightskip \parfillskip\@flushglue
  \small
 \parindent 1em                      % \parindent in abstract
 \noindent {\bfseries\abstractname}  % caption `Abstract' (bold)
 \vskip 0.5\@bls    % half a line of space below

\noindent\ignorespaces }

\def\endabstract{\par \egroup}

\def\keyword{%

 \global\@haskeywordstrue             % Implies rules are to be printed
 \hyphenpenalty\sv@hyphenpenalty      % restore \hyphenpenalty
 \def\sep{\unskip, }                  % separator for multiple keywords
 \def\MSC{\par\leavevmode\hbox {\it 1991 MSC:\ }}%
 \def\PACS{\par\leavevmode\hbox {\it PACS:\ }}%
 \global\setbox\t@keyword=\vbox\bgroup
 \@keywordsize
 \parskip\z@
 \vskip 10\p@ \@plus 2\p@ \@minus 2\p@       % One line of space above keywords.
 \noindent\@keywordheading
 \justify@off                         % Keywords are not justified.
 \ignorespaces}

\def\endkeyword{\par \egroup} \def\runtitle#1{\gdef\@runtitle{#1}} \def\runauthor#1{\gdef\@runauthor{#1}} \let\@runauthor\relax \let\@runtitle\relax \let\@runningauthor\relax \def\RUNDATE{} \def\RUNJNL{} \def\RUNART{} \def\journal#1{\gdef\@journal{#1}} \def\volume#1{\gdef\@volume{#1}} \def\@volume{0} \def\issue#1{\gdef\@issue{#1}} \def\@issue{0} \newcount\@pubyear \@pubyear=\number\year \def\company#1{\def\@company{#1}} \def\@copyrightyear{\number\year} \def\@shortenyear#1#2#3#4\\{\global\def\@shortyear{#3#4}} \expandafter\@shortenyear\the\@pubyear\\ \def\pubyear#1{\global\@pubyear#1

\expandafter\@shortenyear\the\@pubyear\\%
 \ignorespaces}

\def\copyear#1{%

 \gdef\@copyrightyear{#1}%
 \ignorespaces}

\let\copyrightyear\copyear \newcounter{firstpage} \newcounter{lastpage} \let\ESpagenumber\arabic \def\firstpage#1{\def\@tempa{#1}\ifx\@tempa\@empty\else

 \setcounter{firstpage}{#1}%
 \global\c@page=#1 \ignorespaces\fi}

\setcounter{firstpage}{1} \let\realpageref\pageref \setcounter{lastpage}{0} \def\lastpage#1{\def\@tempa{#1}\ifx\@tempa\@empty\else

 \setcounter{lastpage}{#1}\ignorespaces\fi
 }

\AtEndDocument{%

  \clearpage
  \addtocounter{page}{-1}%
  \immediate\write\@auxout{%
  \string\global\string\c@lastpage=\the\c@page}%
  \addtocounter{page}{1}%

} \def\date#1{\gdef\@date{#1}} \def\@date{\today} \def\aid#1{} \def\ssdi#1#2{} \def\received#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@received{#1}\fi}

 \def\@received{\relax}

\def\revised#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@revised{#1}\fi}

 \def\@revised{\relax}

\def\accepted#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@accepted{#1}\fi}

 \def\@accepted{\relax}

\def\communicated#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@communicated{#1}\fi}

 \def\@communicated{\relax}

\def\dedicated#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@dedicated{#1}\fi}

 \def\@dedicated{\relax}

\def\presented#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@presented{#1}\fi}

 \def\@presented{\relax}

\def\articletype#1{\gdef\@articletype{#1}}

 \@ifundefined{@articletype}{\def\@articletype{}}{}

\def\received@prefix{Received~} \def\revised@prefix{; revised~} \def\accepted@prefix{; accepted~} \def\communicated@prefix{; communicated~by~} \def\history@prefix{} \def\received@postfix{} \def\revised@postfix{} \def\accepted@postfix{} \def\communicated@postfix{} \def\history@postfix{} \def\empty@data{\relax} \def\history@fmt{%

 \bgroup
 \@historysize
 \vskip 6\p@ \@plus 2\p@ \@minus 1\p@         % Vertical space above history
 \ifx\@received\empty@data \else       % If there is no \received,
                                       % do not print anything
   \leavevmode
   \history@prefix
   \received@prefix\@received \received@postfix%
   \ifx\@revised\empty@data \else
     \revised@prefix\@revised \revised@postfix%
   \fi
   \ifx\@accepted\empty@data \else
     \accepted@prefix\@accepted \accepted@postfix%
   \fi
   \ifx\@communicated\empty@data \else
     \communicated@prefix\@communicated \communicated@postfix%
   \fi
   \history@postfix
 \fi
 \par \egroup}

\def\dedicated@fmt{%

 \ifx\@dedicated\empty@data \else
   \vskip 4\p@ \@plus 3\p@
   \normalsize\it\centering \@dedicated
   \fi}

\def\@alph#1{\ifcase#1\or a\or b\or c\or d\or e\or f\or g\or h\or i\or j\or k\or \ell\or m\or n\or o\or p\or q\or r\or s\or t\or u\or v\or w\or x\or y\or z\or aa\or ab\or ac\or ad\or ae\or af\or ag\or ah\or ai\or aj\or ak\or a\ell\or am\or an\or ao\or ap\or aq\or ar\or as\or at\or au\or av\or aw\or ay\or az\or ba\or bb\or bc\or bd\or be\or bf\or bg\or bh\or bi\or bj\or bk\or b\ell\or bm\or bn\or bo\or bp\or bq\or br\or bs\or bt\or bu\or bw\or bx\or by\or bz\or ca\or cb\or cc\or cd\or ce\or cf\or cg\or ch\or ci\or cj\or ck\or c\ell\or cm\or cn\or co\or cp\or cq\or cr\or cs\or ct\or cu\or cw\or cx\or cy\or cz\or da\or db\or dc\or dd\or de\or df\or dg\or dh\or di\or dj\or dk\or d\ell\or dm\or dn\or do\or dp\or dq\or dr\or ds\or dt\or du\or dw\or dx\or dy\or dz\or ea\or eb\or ec\or ed\or ee\or ef\or eg\or eh\or ei\or ej\or ek\or e\ell\or em\or en\or eo\or ep\or eq\or er\or es\or et\or eu\or ew\or ex\or ey\or ez\else\@ctrerr\fi} \def\fnstar#1{\@fnstar{\@nameuse{c@#1}}} \def\@fnstar#1{\ifcase#1\or

   \hbox{$\star$}\or
   \hbox{$\star\star$}\or
   \hbox{$\star\star\star$}\or
   \hbox{$\star\star\star\star$}\or
   \hbox{$\star\star\star\star\star$}\or
   \hbox{$\star\star\star\star\star\star$}
 \else
   \@ctrerr
 \fi
 \relax}

\def\astsymbol#1{\@astsymbol{\@nameuse{c@#1}}} \def\@astsymbol#1{\ifcase#1\or

   \hbox{$\ast$}\or
   \hbox{$\ast\ast$}\or
   \hbox{$\ast\ast\ast$}\or
   \hbox{$\ast\ast\ast\ast$}\or
   \hbox{$\ast\ast\ast\ast\ast$}\or
   \hbox{$\ast\ast\ast\ast\ast\ast$}%
 \else
   \@ctrerr
 \fi
 \relax}

\mark{{}{}}  % Initializes TeX's marks \def\ps@plain{\let\@mkboth\@gobbletwo

\def\@oddhead{}%
\def\@evenhead{}%
\def\@oddfoot{\hfil {\rmfamily\thepage} \hfil}%
\let\@evenfoot\@oddfoot}

\def\@copyright{\@issn/\@shortyear/\$\@price\ $\copyright$\ \the\@pubyear\

 \@company{} All  rights reserved}

\def\@jou@vol@pag{\@journal\ \@volume\ (\the\@pubyear)\ \@pagerange} \def\sectionmark#1{} \def\subsectionmark#1{} \let\@j@v@p\@jou@vol@pag  % long journal title appears in reprint line \let\@@j@v@p\@jou@vol@pag  % long journal title appears in running headline \def\sectionmark#1{} \def\subsectionmark#1{} \def\ps@copyright{\let\@mkboth\@gobbletwo

 \def\@oddhead{}%
 \let\@evenhead\@oddhead
 \def\@oddfoot{\small\slshape
   \def\@tempa{0}
   \ifx\@volume\@tempa
     Preprint submitted to \@journal\hfil\@date\/%
   \else
     Article published in \@jou@vol@pag\hfil\hbox{}\fi}%
 \let\@evenfoot\@oddfoot

} \let\ps@noissn\ps@empty \let\ps@headings\ps@plain \def\today{\number\day\space\ifcase\month\or

 January\or February\or March\or April\or May\or June\or
 July\or August\or September\or October\or November\or December\fi
 \space\number\year}

\def\nuc#1#2{\relax\ifmmode{}^{#1}{\protect\text{#2}}\else${}^{#1}$#2\fi} \def\itnuc#1#2{\setbox\@tempboxa=\hbox{\scriptsize\it #1}

 \def\@tempa{{}^{\box\@tempboxa}\!\protect\text{\it #2}}\relax
 \ifmmode \@tempa \else $\@tempa$\fi}

\let\old@vec\vec % save old definition of \vec \def\pol#1{\old@vec{#1}} \def\half{{\textstyle\frac{1}{2}}} \def\threehalf{{\textstyle\frac{3}{2}}} \def\quart{{\textstyle\frac{1}{4}}} \if@symbold\else\def\d{\,\mathrm{d}}\fi \def\e{\mathop{\mathrm{e}}\nolimits} \def\int{\intop} \def\oint{\ointop} \newbox\slashbox \setbox\slashbox=\hbox{$/$} \newbox\Slashbox \setbox\Slashbox=\hbox{\large$/$} \def\pFMslash#1{\setbox\@tempboxa=\hbox{$#1$}

 \@tempdima=0.5\wd\slashbox \advance\@tempdima 0.5\wd\@tempboxa
 \copy\slashbox \kern-\@tempdima \box\@tempboxa}

\def\pFMSlash#1{\setbox\@tempboxa=\hbox{$#1$}

 \@tempdima=0.5\wd\Slashbox \advance\@tempdima 0.5\wd\@tempboxa
 \copy\Slashbox \kern-\@tempdima \box\@tempboxa}

\def\FMslash{\protect\pFMslash} \def\FMSlash{\protect\pFMSlash}

 \def\Cset{\mathbb{C}}
 \def\Hset{\mathbb{H}}
 \def\Nset{\mathbb{N}}
 \def\Qset{\mathbb{Q}}
 \def\Rset{\mathbb{R}}
 \def\Zset{\mathbb{Z}}

\if@TwoColumn

 \adjdemerits=100
 \linepenalty=100
 \doublehyphendemerits=5000        % experimental (1993-12-14)
 \emergencystretch=1.6pc
 \spaceskip=0.3em \@plus 0.17em \@minus 0.12em

\fi \@frontmatterwidth\textwidth \ps@headings  % 'headings' page style \pagenumbering{arabic}  % Arabic page numbers \def\thepage{\@pagenumprefix\ESpagenumber{page}}  % preceded by \@pagenumprefix \let\baselinestretch\@blstr \InputIfFileExists{\@shortjid.cfg}{}{} \endinput %% %% End of file `elsart.cls'.