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%%
%% This is file `elsarticle.cls',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% elsarticle.dtx (with options: `class')
%%
%% Copyright 2007, 2008, 2009 Elsevier Ltd
%%
%% This file is part of the 'Elsarticle Bundle'.
%% -------------------------------------------
%%
%% It may be distributed 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.
%%
%% The list of all files belonging to the 'Elsarticle Bundle' is
%% given in the file `manifest.txt'.
%%
%%
%% $Id: elsarticle.cls,v 1.20 2008-10-13 04:24:12 cvr Exp $
%%
\def\RCSfile{elsarticle}%
\def\RCSversion{1.2.0}%
\def\RCSdate{2009/09/17}%
\def\@shortjnl{\relax}
\def\@journal{Elsevier Ltd} \def\@company{Elsevier Ltd}
\def\@issn{000-0000}
\def\@shortjid{elsarticle}
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesClass{\@shortjid}[\RCSdate, \RCSversion: \@journal]
\def\ABD{\AtBeginDocument}
\newif\ifpreprint \preprintfalse
\newif\iflongmktitle \longmktitlefalse
\def\@blstr{1}
\newdimen\@bls
\@bls=\baselineskip
\def\@finalWarning{%
*****************************************************\MessageBreak
This document is typeset in the CRC style which\MessageBreak
is not suitable for submission.\MessageBreak
\MessageBreak
Please typeset again using 'preprint' option\MessageBreak
for creating PDF suitable for submission.\MessageBreak
******************************************************\MessageBreak
}
\DeclareOption{preprint}{\global\preprinttrue
\gdef\@blstr{1}\xdef\jtype{0}%
\AtBeginDocument{\@twosidefalse\@mparswitchfalse}}
\DeclareOption{final}{\gdef\@blstr{1}\global\preprintfalse}
\DeclareOption{review}{\global\preprinttrue\gdef\@blstr{1.5}}
\DeclareOption{authoryear}{\xdef\@biboptions{round,authoryear}}
\DeclareOption{number}{\xdef\@biboptions{numbers}}
\DeclareOption{numbers}{\xdef\@biboptions{numbers}}
\DeclareOption{longtitle}{\global\longmktitletrue}
\DeclareOption{5p}{\xdef\jtype{5}\global\preprintfalse
\ExecuteOptions{twocolumn}}
\def\jtype{0}
\DeclareOption{3p}{\xdef\jtype{3}\global\preprintfalse}
\DeclareOption{1p}{\xdef\jtype{1}\global\preprintfalse
\AtBeginDocument{\@twocolumnfalse}}
\DeclareOption{times}{\IfFileExists{txfonts.sty}%
{\AtEndOfClass{\RequirePackage{txfonts}%
\gdef\ttdefault{cmtt}%
\let\iint\relax
\let\iiint\relax
\let\iiiint\relax
\let\idotsint\relax
\let\openbox\relax}}{\RequirePackage{times}}}
\ExecuteOptions{a4paper,10pt,oneside,onecolumn,number,preprint}
\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}
\ProcessOptions
\LoadClass{article}
\RequirePackage{graphicx}
\let\comma\@empty
\let\tnotesep\@empty
\def\title#1{\gdef\@title{#1}}
\let\@title\@empty
\def\elsLabel#1{\@bsphack\protected@write\@auxout{}%
{\string\Newlabel{#1}{\@currentlabel}}\@esphack}
\def\Newlabel#1#2{\expandafter\xdef\csname X@#1\endcsname{#2}}
\def\elsRef#1{\@ifundefined{X@#1}{0}{\csname X@#1\endcsname}%
}
\def\tnotemark[#1]{\textsuperscript{\@for\@@tmark:=#1\do{%
\edef\tnotenum{\@ifundefined{X@\@@tmark}{1}{\elsRef{\@@tmark}}}%
\ifcase\tnotenum\or\ding{73}\or,\ding{73}\ding{73}\fi}}%
}
\let\@tnotemark\@empty
\let\@tnotes\@empty
\RequirePackage{pifont}
\newcounter{tnote}
\def\tnotetext[#1]#2{\g@addto@macro\@tnotes{%
\refstepcounter{tnote}\elsLabel{#1}%
\def\thefootnote{\ifcase\c@tnote\or\ding{73}\or\ding{73}\ding{73}\fi}%
\footnotetext{#2}}}
\let\@nonumnotes\@empty
\def\nonumnote#1{\g@addto@macro\@nonumnotes{%
\let\thefootnote\relax\footnotetext{#1}}}
\newcounter{fnote}
\def\fnmark[#1]{\let\comma\@empty
\def\@fnmark{\@for\@@fnmark:=#1\do{%
\edef\fnotenum{\@ifundefined{X@\@@fnmark}{1}{\elsRef{\@@fnmark}}}%
\unskip\comma\fnotenum\let\comma,}}%
}
\let\@fnotes\@empty\let\@fnmark\@empty
\def\fntext[#1]#2{\g@addto@macro\@fnotes{%
\refstepcounter{fnote}\elsLabel{#1}%
\def\thefootnote{\thefnote}%
\global\setcounter{footnote}{\thefnote}%
\footnotetext{#2}}}
\def\cormark[#1]{\edef\cnotenum{\elsRef{#1}}%
\unskip\textsuperscript{\sep\ifcase\cnotenum\or
$\ast$\or$\ast\ast$\fi\hspace{-1pt}}\let\sep=,}
\let\@cormark\@empty
\let\@cornotes\@empty
\newcounter{cnote}
\def\cortext[#1]#2{\g@addto@macro\@cornotes{%
\refstepcounter{cnote}\elsLabel{#1}%
\def\thefootnote{\ifcase\thecnote\or$\ast$\or
$\ast\ast$\fi}%
\footnotetext{#2}}}
\let\@corref\@empty
\def\corref#1{\edef\cnotenum{\elsRef{#1}}%
\edef\@corref{\ifcase\cnotenum\or
$\ast$\or$\ast\ast$\fi\hskip-1pt}}
\def\fnref#1{\fnmark[#1]}
\def\tnoteref#1{\tnotemark[#1]}
\def\resetTitleCounters{\c@cnote=0
\c@fnote=0 \c@tnote=0 \c@footnote=0}
\let\eadsep\@empty
\let\@elseads\@empty
\let\@elsuads\@empty
\let\@cormark\@empty
\def\hashchar{\expandafter\@gobble\string\~}
\def\underscorechar{\expandafter\@gobble\string\_}
\def\lbracechar{\expandafter\@gobble\string\{}
\def\rbracechar{\expandafter\@gobble\string\}}
\def\ead{\@ifnextchar[{\@uad}{\@ead}}
\gdef\@ead#1{\bgroup\def\_{\string\underscorechar\space}%
\def\{{\string\lbracechar\space}%
\def~{\hashchar\space}%
\def\}{\string\rbracechar\space}%
\edef\tmp{\the\@eadauthor}
\immediate\write\@auxout{\string\emailauthor
{#1}{\expandafter\strip@prefix\meaning\tmp}}%
\egroup
}
\newcounter{ead}
\gdef\emailauthor#1#2{\stepcounter{ead}%
\g@addto@macro\@elseads{\raggedright%
\let\corref\@gobble
\eadsep\texttt{#1} (#2)\def\eadsep{\unskip,\space}}%
}
\gdef\@uad[#1]#2{\bgroup
\def~{\string\hashchar\space}%
\def\_{\string\underscorechar\space}%
\edef\tmp{\the\@eadauthor}
\immediate\write\@auxout{\string\urlauthor
{#2}{\expandafter\strip@prefix\meaning\tmp}}%
\egroup
}
\def\urlauthor#1#2{\g@addto@macro\@elsuads{\let\corref\@gobble%
\raggedright\eadsep\texttt{#1}\space(#2)%
\def\eadsep{\unskip,\space}}%
}
\def\elsauthors{}
\def\pprinttitle{}
\let\authorsep\@empty
\let\sep\@empty
\newcounter{author}
\def\author{\@ifnextchar[{\@@author}{\@author}}
\newtoks\@eadauthor
\def\@@author[#1]#2{\g@addto@macro\elsauthors{%
\def\baselinestretch{1}%
\authorsep#2\unskip\textsuperscript{%#1%
\@for\@@affmark:=#1\do{%
\edef\affnum{\@ifundefined{X@\@@affmark}{1}{\elsRef{\@@affmark}}}%
\unskip\sep\affnum\let\sep=,}%
\ifx\@fnmark\@empty\else\unskip\sep\@fnmark\let\sep=,\fi
\ifx\@corref\@empty\else\unskip\sep\@corref\let\sep=,\fi
}%
\def\authorsep{\unskip,\space}%
\global\let\sep\@empty\global\let\@corref\@empty
\global\let\@fnmark\@empty}%
\@eadauthor={#2}
}
\def\@author#1{\g@addto@macro\elsauthors{\normalsize%
\def\baselinestretch{1}%
\upshape\authorsep#1\unskip\textsuperscript{%
\ifx\@fnmark\@empty\else\unskip\sep\@fnmark\let\sep=,\fi
\ifx\@corref\@empty\else\unskip\sep\@corref\let\sep=,\fi
}%
\def\authorsep{\unskip,\space}%
\global\let\@fnmark\@empty
\global\let\sep\@empty}%
\@eadauthor={#1}
}
\def\elsaddress{}
\def\addsep{\par\vskip6pt}
\def\address{\@ifnextchar[{\@@address}{\@address}}
\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
l\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 al\or am\or an\or ao\or ap\or aq\or ar\or as\or at\or au\or
av\or aw\or ax\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 bl\or bm\or bn\or bo\or bp\or bq\or br\or bs\or bt\or bu\or
bv\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 cl\or cm\or cn\or co\or cp\or cq\or cr\or cs\or ct\or cu\or
cv\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 dl\or dm\or dn\or do\or dp\or dq\or dr\or ds\or dt\or du\or
dv\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 el\or em\or en\or eo\or ep\or eq\or er\or es\or et\or eu\or
ev\or ew\or ex\or ey\or ez%
\or fa\or fb\or fc\or fd\or fe\or ff\or fg\or fh\or fi\or fj\or
fk\or fl\or fm\or fn\or fo\or fp\or fq\or fr\or fs\or ft\or fu\or
fv\or fw\or fx\or fy\or fz%
\or ga\or gb\or gc\or gd\or ge\or gf\or gg\or gh\or gi\or gj\or
gk\or gl\or gm\or gn\or go\or gp\or gq\or gr\or gs\or gt\or gu\or
gv\or gw\or gx\or gy\or gz%
\else\@ctrerr\fi}
\newcounter{affn}
\renewcommand\theaffn{\alph{affn}}
\long\def\@@address[#1]#2{\g@addto@macro\elsaddress{%
\def\baselinestretch{1}%
\refstepcounter{affn}
\xdef\@currentlabel{\theaffn}
\elsLabel{#1}%
\textsuperscript{\theaffn}#2\par}}
\long\def\@address#1{\g@addto@macro\elsauthors{%
\def\baselinestretch{1}%
\addsep\footnotesize\itshape#1\def\addsep{\par\vskip6pt}%
\def\authorsep{\par\vskip8pt}}}
\newbox\absbox
\renewenvironment{abstract}{\global\setbox\absbox=\vbox\bgroup
\hsize=\textwidth\def\baselinestretch{1}%
\noindent\unskip\textbf{Abstract}
\par\medskip\noindent\unskip\ignorespaces}
{\egroup}
\newbox\keybox
\def\keyword{%
\def\sep{\unskip, }%
\def\MSC{\@ifnextchar[{\@MSC}{\@MSC[2000]}}
\def\@MSC[##1]{\par\leavevmode\hbox {\it ##1~MSC:\space}}%
\def\PACS{\par\leavevmode\hbox {\it PACS:\space}}%
\def\JEL{\par\leavevmode\hbox {\it JEL:\space}}%
\global\setbox\keybox=\vbox\bgroup\hsize=\textwidth
\normalsize\normalfont\def\baselinestretch{1}
\parskip\z@
\noindent\textit{Keywords: }
\raggedright % Keywords are not justified.
\ignorespaces}
\def\endkeyword{\par \egroup}
\newdimen\Columnwidth
\Columnwidth=\columnwidth
\def\printFirstPageNotes{%
\iflongmktitle
\let\columnwidth=\textwidth\fi
\ifx\@tnotes\@empty\else\@tnotes\fi
\ifx\@nonumnotes\@empty\else\@nonumnotes\fi
\ifx\@cornotes\@empty\else\@cornotes\fi
\ifx\@elseads\@empty\relax\else
\let\thefootnote\relax
\footnotetext{\ifnum\theead=1\relax
\textit{Email address:\space}\else
\textit{Email addresses:\space}\fi
\@elseads}\fi
\ifx\@elsuads\@empty\relax\else
\let\thefootnote\relax
\footnotetext{\textit{URL:\space}%
\@elsuads}\fi
\ifx\@fnotes\@empty\else\@fnotes\fi
\iflongmktitle\if@twocolumn
\let\columnwidth=\Columnwidth\fi\fi
}
\long\def\pprintMaketitle{\clearpage
\iflongmktitle\if@twocolumn\let\columnwidth=\textwidth\fi\fi
\resetTitleCounters
\def\baselinestretch{1}%
\printFirstPageNotes
\begin{center}%
\thispagestyle{pprintTitle}%
\def\baselinestretch{1}%
\Large\@title\par\vskip18pt
\normalsize\elsauthors\par\vskip10pt
\footnotesize\itshape\elsaddress\par\vskip36pt
\hrule\vskip12pt
\ifvoid\absbox\else\unvbox\absbox\par\vskip10pt\fi
\ifvoid\keybox\else\unvbox\keybox\par\vskip10pt\fi
\hrule\vskip12pt
\end{center}%
\gdef\thefootnote{\arabic{footnote}}%
}
\def\printWarning{%
\mbox{}\par\vfill\par\bgroup
\fboxsep12pt\fboxrule1pt
\hspace*{.18\textwidth}
\fcolorbox{gray50}{gray10}{\box\warnbox}
\egroup\par\vfill\thispagestyle{empty}
\setcounter{page}{0}
\clearpage}
\long\def\finalMaketitle{%
\resetTitleCounters
\def\baselinestretch{1}%
\MaketitleBox
\thispagestyle{pprintTitle}%
\gdef\thefootnote{\arabic{footnote}}%
}
\long\def\MaketitleBox{%
\resetTitleCounters
\def\baselinestretch{1}%
\begin{center}%
\def\baselinestretch{1}%
\Large\@title\par\vskip18pt
\normalsize\elsauthors\par\vskip10pt
\footnotesize\itshape\elsaddress\par\vskip36pt
\hrule\vskip12pt
\ifvoid\absbox\else\unvbox\absbox\par\vskip10pt\fi
\ifvoid\keybox\else\unvbox\keybox\par\vskip10pt\fi
\hrule\vskip12pt
\end{center}%
}
\def\FNtext#1{\par\bgroup\footnotesize#1\egroup}
\newdimen\space@left
\def\alarm#1{\typeout{******************************}%
\typeout{#1}%
\typeout{******************************}%
}
\long\def\getSpaceLeft{%\global\@twocolumnfalse%
\global\setbox0=\vbox{\hsize=\textwidth\MaketitleBox}%
\global\setbox1=\vbox{\hsize=\textwidth
\let\footnotetext\FNtext
\printFirstPageNotes}%
\xdef\noteheight{\the\ht1}%
\xdef\titleheight{\the\ht0}%
\@tempdima=\vsize
\advance\@tempdima-\noteheight
\advance\@tempdima-1\baselineskip
}
\skip\footins=24pt
\newbox\els@boxa
\newbox\els@boxb
\ifpreprint
\def\maketitle{\pprintMaketitle}
\else
\ifnum\jtype=1
\def\maketitle{%
\iflongmktitle\getSpaceLeft
\global\setbox\els@boxa=\vsplit0 to \@tempdima
\box\els@boxa\par\resetTitleCounters
\thispagestyle{pprintTitle}%
\printFirstPageNotes
\box0%
\else
\finalMaketitle\printFirstPageNotes
\fi
\gdef\thefootnote{\arabic{footnote}}}%
\else
\ifnum\jtype=5
\def\maketitle{%
\iflongmktitle\getSpaceLeft
\global\setbox\els@boxa=\vsplit0 to \@tempdima
\box\els@boxa\par\resetTitleCounters
\thispagestyle{pprintTitle}%
\printFirstPageNotes
\twocolumn[\box0]%\printFirstPageNotes
\else
\twocolumn[\finalMaketitle]\printFirstPageNotes
\fi
\gdef\thefootnote{\arabic{footnote}}}
\else
\if@twocolumn
\def\maketitle{%
\iflongmktitle\getSpaceLeft
\global\setbox\els@boxa=\vsplit0 to \@tempdima
\box\els@boxa\par\resetTitleCounters
\thispagestyle{pprintTitle}%
\printFirstPageNotes
\twocolumn[\box0]%
\else
\twocolumn[\finalMaketitle]\printFirstPageNotes
\fi
\gdef\thefootnote{\arabic{footnote}}}%
\else
\def\maketitle{%
\iflongmktitle\getSpaceLeft
\global\setbox\els@boxa=\vsplit0 to \@tempdima
\box\els@boxa\par\resetTitleCounters
\thispagestyle{pprintTitle}%
\printFirstPageNotes
\box0%
\else
\finalMaketitle\printFirstPageNotes
\fi
\gdef\thefootnote{\arabic{footnote}}}%
\fi
\fi
\fi
\fi
\def\ps@pprintTitle{%
\let\@oddhead\@empty
\let\@evenhead\@empty
\def\@oddfoot{\footnotesize\itshape
Preprint submitted to \ifx\@journal\@empty Elsevier
\else\@journal\fi\hfill\today}%
\let\@evenfoot\@oddfoot}
\def\@seccntDot{.}
\def\@seccntformat#1{\csname the#1\endcsname\@seccntDot\hskip 0.5em}
\renewcommand\section{\@startsection {section}{1}{\z@}%
{18\p@ \@plus 6\p@ \@minus 3\p@}%
{9\p@ \@plus 6\p@ \@minus 3\p@}%
{\normalsize\bfseries\boldmath}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%
{12\p@ \@plus 6\p@ \@minus 3\p@}%
{3\p@ \@plus 6\p@ \@minus 3\p@}%
{\normalfont\normalsize\itshape}}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
{12\p@ \@plus 6\p@ \@minus 3\p@}%
{\p@}%
{\normalfont\normalsize\itshape}}
\def\paragraph{\secdef{\els@aparagraph}{\els@bparagraph}}
\def\els@aparagraph[#1]#2{\elsparagraph[#1]{#2.}}
\def\els@bparagraph#1{\elsparagraph*{#1.}}
\newcommand\elsparagraph{\@startsection{paragraph}{4}{0\z@}%
{10\p@ \@plus 6\p@ \@minus 3\p@}%
{-6\p@}%
{\normalfont\itshape}}
\newdimen\leftMargin
\leftMargin=2em
\newtoks\@enLab %\newtoks\@enfont
\def\@enQmark{?}
\def\@enLabel#1#2{%
\edef\@enThe{\noexpand#1{\@enumctr}}%
\@enLab\expandafter{\the\@enLab\csname the\@enumctr\endcsname}%
\@enloop}
\def\@enSpace{\afterassignment\@enSp@ce\let\@tempa= }
\def\@enSp@ce{\@enLab\expandafter{\the\@enLab\space}\@enloop}
\def\@enGroup#1{\@enLab\expandafter{\the\@enLab{#1}}\@enloop}
\def\@enOther#1{\@enLab\expandafter{\the\@enLab#1}\@enloop}
\def\@enloop{\futurelet\@entemp\@enloop@}
\def\@enloop@{%
\ifx A\@entemp \def\@tempa{\@enLabel\Alph }\else
\ifx a\@entemp \def\@tempa{\@enLabel\alph }\else
\ifx i\@entemp \def\@tempa{\@enLabel\roman }\else
\ifx I\@entemp \def\@tempa{\@enLabel\Roman }\else
\ifx 1\@entemp \def\@tempa{\@enLabel\arabic}\else
\ifx \@sptoken\@entemp \let\@tempa\@enSpace \else
\ifx \bgroup\@entemp \let\@tempa\@enGroup \else
\ifx \@enum@\@entemp \let\@tempa\@gobble \else
\let\@tempa\@enOther
\fi\fi\fi\fi\fi\fi\fi\fi
\@tempa}
\newlength{\@sep} \newlength{\@@sep}
\setlength{\@sep}{.5\baselineskip plus.2\baselineskip
minus.2\baselineskip}
\setlength{\@@sep}{.1\baselineskip plus.01\baselineskip
minus.05\baselineskip}
\providecommand{\sfbc}{\rmfamily\upshape}
\providecommand{\sfn}{\rmfamily\upshape}
\def\@enfont{\ifnum \@enumdepth >1\let\@nxt\sfn \else\let\@nxt\sfbc \fi\@nxt}
\def\enumerate{%
\ifnum \@enumdepth >3 \@toodeep\else
\advance\@enumdepth \@ne
\edef\@enumctr{enum\romannumeral\the\@enumdepth}\fi
\@ifnextchar[{\@@enum@}{\@enum@}}
\def\@@enum@[#1]{%
\@enLab{}\let\@enThe\@enQmark
\@enloop#1\@enum@
\ifx\@enThe\@enQmark\@warning{The counter will not be printed.%
^^J\space\@spaces\@spaces\@spaces The label is: \the\@enLab}\fi
\expandafter\edef\csname label\@enumctr\endcsname{\the\@enLab}%
\expandafter\let\csname the\@enumctr\endcsname\@enThe
\csname c@\@enumctr\endcsname7
\expandafter\settowidth
\csname leftmargin\romannumeral\@enumdepth\endcsname
{\the\@enLab\hskip\labelsep}%
\@enum@}
\def\@enum@{\list{{\@enfont\csname label\@enumctr\endcsname}}%
{\usecounter{\@enumctr}\def\makelabel##1{\hss\llap{##1}}%
\ifnum \@enumdepth>1\setlength{\topsep}{\@@sep}\else
\setlength{\topsep}{\@sep}\fi
\ifnum \@enumdepth>1\setlength{\itemsep}{0pt plus1pt minus1pt}%
\else \setlength{\itemsep}{\@@sep}\fi
%\setlength\leftmargin{\leftMargin}%%%{1.8em}
\setlength{\parsep}{0pt plus1pt minus1pt}%
\setlength{\parskip}{0pt plus1pt minus1pt}
}}
\def\endenumerate{\par\ifnum \@enumdepth >1\addvspace{\@@sep}\else
\addvspace{\@sep}\fi \endlist}
\def\sitem{\@noitemargtrue\@item[\@itemlabel *]}
\def\itemize{\@ifnextchar[{\@Itemize}{\@Itemize[]}}
\def\@Itemize[#1]{\def\next{#1}%
\ifnum \@itemdepth >\thr@@\@toodeep\else
\advance\@itemdepth\@ne
\ifx\next\@empty\else\expandafter\def\csname
labelitem\romannumeral\the\@itemdepth\endcsname{#1}\fi%
\edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
\expandafter\list\csname\@itemitem\endcsname
{\def\makelabel##1{\hss\llap{##1}}}%
\fi}
\def\newdefinition#1{%
\@ifnextchar[{\@odfn{#1}}{\@ndfn{#1}}}%]
\def\@ndfn#1#2{%
\@ifnextchar[{\@xndfn{#1}{#2}}{\@yndfn{#1}{#2}}}
\def\@xndfn#1#2[#3]{%
\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}\@newctr{#1}[#3]%
\expandafter\xdef\csname the#1\endcsname{%
\expandafter\noexpand\csname the#3\endcsname \@dfncountersep
\@dfncounter{#1}}%
\global\@namedef{#1}{\@dfn{#1}{#2}}%
\global\@namedef{end#1}{\@enddefinition}}}
\def\@yndfn#1#2{%
\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}%
\expandafter\xdef\csname the#1\endcsname{\@dfncounter{#1}}%
\global\@namedef{#1}{\@dfn{#1}{#2}}%
\global\@namedef{end#1}{\@enddefinition}}}
\def\@odfn#1[#2]#3{%
\@ifundefined{c@#2}{\@nocounterr{#2}}%
{\expandafter\@ifdefinable\csname #1\endcsname
{\global\@namedef{the#1}{\@nameuse{the#2}}
\global\@namedef{#1}{\@dfn{#2}{#3}}%
\global\@namedef{end#1}{\@enddefinition}}}}
\def\@dfn#1#2{%
\refstepcounter{#1}%
\@ifnextchar[{\@ydfn{#1}{#2}}{\@xdfn{#1}{#2}}}
\def\@xdfn#1#2{%
\@begindefinition{#2}{\csname the#1\endcsname}\ignorespaces}
\def\@ydfn#1#2[#3]{%
\@opargbegindefinition{#2}{\csname the#1\endcsname}{#3}\ignorespaces}
\def\@dfncounter#1{\noexpand\arabic{#1}}
\def\@dfncountersep{.}
\def\@begindefinition#1#2{\trivlist
\item[\hskip\labelsep{\bfseries #1\ #2.}]\upshape}
\def\@opargbegindefinition#1#2#3{\trivlist
\item[\hskip\labelsep{\bfseries #1\ #2\ (#3).}]\upshape}
\def\@enddefinition{\endtrivlist}
\def\@begintheorem#1#2{\trivlist
\let\baselinestretch\@blstr
\item[\hskip \labelsep{\bfseries #1\ #2.}]\itshape}
\def\@opargbegintheorem#1#2#3{\trivlist
\let\baselinestretch\@blstr
\item[\hskip \labelsep{\bfseries #1\ #2\ (#3).}]\itshape}
\def\newproof#1{%
\@ifnextchar[{\@oprf{#1}}{\@nprf{#1}}}
\def\@nprf#1#2{%
\@ifnextchar[{\@xnprf{#1}{#2}}{\@ynprf{#1}{#2}}}
\def\@xnprf#1#2[#3]{%
\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}\@newctr{#1}[#3]%
\expandafter\xdef\csname the#1\endcsname{%
\expandafter\noexpand\csname the#3\endcsname \@prfcountersep
\@prfcounter{#1}}%
\global\@namedef{#1}{\@prf{#1}{#2}}%
\global\@namedef{end#1}{\@endproof}}}
\def\@ynprf#1#2{%
\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}%
\expandafter\xdef\csname the#1\endcsname{\@prfcounter{#1}}%
\global\@namedef{#1}{\@prf{#1}{#2}}%
\global\@namedef{end#1}{\@endproof}}}
\def\@oprf#1[#2]#3{%
\@ifundefined{c@#2}{\@nocounterr{#2}}%
{\expandafter\@ifdefinable\csname #1\endcsname
{\global\@namedef{the#1}{\@nameuse{the#2}}%
\global\@namedef{#1}{\@prf{#2}{#3}}%
\global\@namedef{end#1}{\@endproof}}}}
\def\@prf#1#2{%
\refstepcounter{#1}%
\@ifnextchar[{\@yprf{#1}{#2}}{\@xprf{#1}{#2}}}
\def\@xprf#1#2{%
\@beginproof{#2}{\csname the#1\endcsname}\ignorespaces}
\def\@yprf#1#2[#3]{%
\@opargbeginproof{#2}{\csname the#1\endcsname}{#3}\ignorespaces}
\def\@prfcounter#1{\noexpand\arabic{#1}}
\def\@prfcountersep{.}
\def\@beginproof#1#2{\trivlist\let\baselinestretch\@blstr
\item[\hskip \labelsep{\scshape #1.}]\rmfamily}
\def\@opargbeginproof#1#2#3{\trivlist\let\baselinestretch\@blstr
\item[\hskip \labelsep{\scshape #1\ (#3).}]\rmfamily}
\def\@endproof{\endtrivlist}
\newcommand*{\qed}{\hbox{}\hfill$\Box$}
\@ifundefined{@biboptions}{\xdef\@biboptions{numbers}}{}
\InputIfFileExists{\jobname.spl}{}{}
\RequirePackage[\@biboptions]{natbib}
\newwrite\splwrite
\immediate\openout\splwrite=\jobname.spl
\def\biboptions#1{\def\next{#1}\immediate\write\splwrite{%
\string\g@addto@macro\string\@biboptions{%
,\expandafter\strip@prefix\meaning\next}}}
\let\baselinestretch=\@blstr
\ifnum\jtype=1
\RequirePackage{geometry}
\geometry{twoside,
paperwidth=210mm,
paperheight=297mm,
textheight=562pt,
textwidth=384pt,
centering,
headheight=50pt,
headsep=12pt,
footskip=12pt,
footnotesep=24pt plus 2pt minus 12pt,
}
\global\let\bibfont=\footnotesize
\global\bibsep=0pt
\if@twocolumn\global\@twocolumnfalse\fi
\else\ifnum\jtype=3
\RequirePackage{geometry}
\geometry{twoside,
paperwidth=210mm,
paperheight=297mm,
textheight=622pt,
textwidth=468pt,
centering,
headheight=50pt,
headsep=12pt,
footskip=18pt,
footnotesep=24pt plus 2pt minus 12pt,
columnsep=2pc
}
\global\let\bibfont=\footnotesize
\global\bibsep=0pt
\if@twocolumn\input{fleqn.clo}\fi
\else\ifnum\jtype=5
\RequirePackage{geometry}
\geometry{twoside,
paperwidth=210mm,
paperheight=297mm,
textheight=682pt,
textwidth=522pt,
centering,
headheight=50pt,
headsep=12pt,
footskip=18pt,
footnotesep=24pt plus 2pt minus 12pt,
columnsep=18pt
}%
\global\let\bibfont=\footnotesize
\global\bibsep=0pt
\input{fleqn.clo}
\global\@twocolumntrue
%%
%% End of option '5p'
%%
\fi\fi\fi
\def\journal#1{\gdef\@journal{#1}}
\let\@journal\@empty
\newenvironment{frontmatter}{}{\maketitle}
\long\def\@makecaption#1#2{%
\vskip\abovecaptionskip\footnotesize
\sbox\@tempboxa{#1: #2}%
\ifdim \wd\@tempboxa >\hsize
#1: #2\par
\else
\global \@minipagefalse
\hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
\fi
\vskip\belowcaptionskip}
\AtBeginDocument{\@ifpackageloaded{hyperref}
{\def\@linkcolor{blue}
\def\@anchorcolor{blue}
\def\@citecolor{blue}
\def\@filecolor{blue}
\def\@urlcolor{blue}
\def\@menucolor{blue}
\def\@pagecolor{blue}
\begingroup
\@makeother\`%
\@makeother\=%
\edef\x{%
\edef\noexpand\x{%
\endgroup
\noexpand\toks@{%
\catcode 96=\noexpand\the\catcode`\noexpand\`\relax
\catcode 61=\noexpand\the\catcode`\noexpand\=\relax
}%
}%
\noexpand\x
}%
\x
\@makeother\`
\@makeother\=
}{}}
%%
\renewcommand\appendix{\par
\setcounter{section}{0}%
\setcounter{subsection}{0}%
\setcounter{equation}{0}
\gdef\thefigure{\@Alph\c@section.\arabic{figure}}%
\gdef\thetable{\@Alph\c@section.\arabic{table}}%
\gdef\thesection{\appendixname\@Alph\c@section}%
\@addtoreset{equation}{section}%
\gdef\theequation{\@Alph\c@section.\arabic{equation}}%
}
\def\appendixname{Appendix }
%% Added for work with amsrefs.sty
\@ifpackageloaded{amsrefs}%
{}
{\let\bibsection\relax%
\AtBeginDocument{\def\cites@b#1#2,#3{%
\begingroup[%
\toks@{\InnerCite{#2}#1}%
\ifx\@empty#3\@xp\@gobble\fi
\cites@c#3%
}}}
%%
\endinput
%%
%% End of file `elsarticle.cls'.