Shreffler:Basophil Paper/elsart

%% %% 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\@keywordheading \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}{{\bfseries #1.} #2}}} \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 \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% \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\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\endcsname% \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 \hbox\else \hbox{{\author@font #3}\,$^{\mathrm{#2}}$}% \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 \def\threehalf \def\quart \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'.