%===============   JPSJ.sty   ===================================
%
%                                       ver.0.7     June 19, 1995
%                                       ver.0.7b    June 21, 1995
%                                       ver.0.7c    June 29, 1995
%                                       ver.0.7d    Augusut 1, 1995
%                                       ver.0.7e    October 17, 1995
%                                       ver.0.7f    November 22, 1995
%                                       ver.0.8     February 5, 1996
%                                       ver.1.0     July 1, 1997
%                                       ver.1.0b    August 11, 1997
%
% based on JJAPTEX.sty for (C) Japanese Journal of Applied Pysics
%             Release 2.1, date : 9 September, '94
%
%=====================================================================
% This jpsj.sty contains the following freeware style files
% at the final parts of the file:
%   1. subeqn.sty for Subequations Environment
%         made by Stephen Gildea
%   2. subeqnarray.sty V1.1 for Subeqnarray DOCUMENT-STYLE option
%         Copyright (C) 1988 by Johannes Braams, Dr Neher Laboratories
%   3. overcite.sty version 3.5 for compress numerical citations
%         Copyright (C) 1989-1995 by Donald Arseneau
% The original authors' notes are kept there.
%=====================================================================

\typeout{***** Document Style <<JPSJ.sty>> ver.1.0b ****}

\def\@typeset{\sf typeset using JPSJ.sty $<$ver.1.0b$>$}
\def\@jname{\rm Journal of the Physical Society of Japan}
\def\@jyear{\rm 1997}
\def\@jvolume{\rm 66}
\@ifundefined{jpage}{\def\jpage{Vol. No. pp.}}{}
\@ifundefined{runtitle}{\def\runtitle{Title of the Article}}{}
\@ifundefined{runauthor}{\def\runauthor{Author Name}}{}

\raggedbottom

%%%%%%%%% new %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\mib}[1]{\mbox{\boldmath $#1$}}
\newcommand{\mibs}[1]{{\scriptsize\mib{#1}}}
\newcommand{\dfrac}[2]{{{\displaystyle{#1}} \over {\displaystyle{#2}}}}
\renewcommand{\footnote}{\thanks}
%\newcommand{\narrowtext}{\halftext}
%\newcommand{\widetext}{\fulltext}
%\newcommand{\address}{\inst}
%\renewcommand{\date}{\recdate}
%\newcommand{\ct}{~\cite}

\def\makefigurecaptions{}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%     default    jpsjbs1.sty   for full paper, letters, errata
%     [short]    jpsjbs1.sty   for short notes, comments, addenda
%     [print]    jpsjbs0.sty   for preprint style
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\@prtstyle{1} \def\@prtchoice{1}
\def\@jclass{1} \def\@errorstyle{0}
\def\jclassname{}
\@namedef{ds@regular}{}
\@namedef{ds@letters}{\def\@jclass{0} \def\jclassname{{\sc Letters}}
                    \def\runtitle{\jclassname} \def\runauthor{\jclassname}}
\@namedef{ds@letter}{\def\@jclass{0} \def\jclassname{{\sc Letters}}
                    \def\runtitle{\jclassname} \def\runauthor{\jclassname}}
\@namedef{ds@short}{\def\@jclass{0} \def\@prtchoice{2}
                    \def\jclassname{{\sc Short Notes}}
                    \def\runtitle{\jclassname} \def\runauthor{\jclassname}}
\@namedef{ds@comments}{\def\@jclass{0} \def\@prtchoice{2}
                    \def\jclassname{{\sc Comments}}
                    \def\runtitle{\jclassname} \def\runauthor{\jclassname}}
\@namedef{ds@comment}{\def\@jclass{0} \def\@prtchoice{2}
                    \def\jclassname{{\sc Comments}}
                    \def\runtitle{\jclassname} \def\runauthor{\jclassname}}
\@namedef{ds@addenda}{\def\@jclass{0} \def\@prtchoice{2}
                    \def\jclassname{{\sc Addenda}}}
\@namedef{ds@errata}{\def\@jclass{0} \def\@errorstyle{1}
                    \def\jclassname{{\sc Errata}}}
\@namedef{ds@preprint}{\def\@prtstyle{0}}
\@twosidetrue

\def\@officestyle{0} \def\ds@office{\def\@officestyle{1}}
\def\@eqstyle{0} \def\ds@seceq{\def\@eqstyle{1}}
\def\@columnstyle{0} \def\ds@twocolumn{\def\@columnstyle{1}}

\def\@footstyle{0} \def\ds@foot{\def\@footstyle{1}}

\@options
\ifnum\@prtstyle=0 \def\@columnstyle{0} \fi

\input jpsjbs\@prtstyle.sty\relax
%\input cite.sty\relax
%\input overcite.sty\relax
%\input subeqn.sty\relax
%\input subeqna.sty\relax

%\renewcommand\citeform[1]{#1)}

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    new font for viiipt
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\viiipt{\textfont\z@\egtrm 
  \scriptfont\z@\sixrm \scriptscriptfont\z@\fivrm
\textfont\@ne\egtmi \scriptfont\@ne\sixmi \scriptscriptfont\@ne\fivmi
\textfont\tw@\egtsy \scriptfont\tw@\sixsy \scriptscriptfont\tw@\fivsy
\textfont\thr@@\tenex \scriptfont\thr@@\tenex \scriptscriptfont\thr@@\tenex
\def\prm{\fam\z@\egtrm}%
\def\unboldmath{\everymath{}\everydisplay{}\@nomath\unboldmath
          \textfont\@ne\egtmi 
          \textfont\tw@\egtsy \textfont\lyfam\egtly
          \@boldfalse}\@boldfalse
\def\boldmath{\@ifundefined{egtmib}{\global\font\egtmib\@mbi\@ptscale8 
   \global\font\egtsyb\@mbsy\@ptscale8 
   \global\font\egtlyb\@lasyb\@ptscale8\relax\@addfontinfo\@viiipt
   {\def\boldmath{\everymath{\mit}\everydisplay{\mit}\@prtct\@nomathbold
        \textfont\@ne\egtmib \textfont\tw@\egtsyb 
        \textfont\lyfam\egtlyb \@prtct\@boldtrue}}}{}\@viiipt\boldmath}%
\def\pit{\fam\itfam\egtit}\textfont\itfam\egtit 
   \scriptfont\itfam\sevit \scriptscriptfont\itfam\sevit 
\def\psl{\@getfont\psl\slfam\@viiipt{cmsl8}}%
\def\pbf{\@getfont\pbf\bffam\@viiipt{cmbx8}}%
\def\ptt{\@getfont\ptt\ttfam\@viiipt{cmtt8}\@nohyphens\ptt\@viiipt}%
\def\psf{\@getfont\psf\sffam\@viiipt{cmss8}}%
\def\psc{\@getfont\psc\scfam\@viiipt{\@mcsc \@ptscale8}}% 
\def\ly{\fam\lyfam\egtly}\textfont\lyfam\egtly 
    \scriptfont\lyfam\sixly \scriptscriptfont\lyfam\fivly 
\@setstrut \rm}

%\def\@viiipt{}

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    new font for ixpt
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\ixpt{\textfont\z@\ninrm 
  \scriptfont\z@\sixrm \scriptscriptfont\z@\fivrm
\textfont\@ne\ninmi \scriptfont\@ne\sixmi \scriptscriptfont\@ne\fivmi
\textfont\tw@\ninsy \scriptfont\tw@\sixsy \scriptscriptfont\tw@\fivsy
\textfont\thr@@\tenex \scriptfont\thr@@\tenex \scriptscriptfont\thr@@\tenex
\def\prm{\fam\z@\ninrm}%
\def\unboldmath{\everymath{}\everydisplay{}\@nomath\unboldmath
          \textfont\@ne\ninmi 
          \textfont\tw@\ninsy \textfont\lyfam\ninly
          \@boldfalse}\@boldfalse
\def\boldmath{\@ifundefined{ninmib}{\global\font\ninmib\@mbi\@ptscale9 
   \global\font\ninsyb\@mbsy\@ptscale9 
   \global\font\ninlyb\@lasyb\@ptscale9\relax\@addfontinfo\@ixpt
   {\def\boldmath{\everymath{\mit}\everydisplay{\mit}\@prtct\@nomathbold
        \textfont\@ne\ninmib \textfont\tw@\ninsyb 
        \textfont\lyfam\ninlyb \@prtct\@boldtrue}}}{}\@ixpt\boldmath}%
\def\pit{\fam\itfam\ninit}\textfont\itfam\ninit 
   \scriptfont\itfam\sevit \scriptscriptfont\itfam\sevit 
\def\psl{\@getfont\psl\slfam\@ixpt{cmsl9}}%
\def\pbf{\fam\bffam\ninbf}\textfont\bffam\ninbf 
   \scriptfont\bffam\ninbf \scriptscriptfont\bffam\ninbf 
\def\ptt{\fam\ttfam\nintt}\textfont\ttfam\nintt
   \scriptfont\ttfam\nintt \scriptscriptfont\ttfam\nintt 
\def\psf{\@getfont\psf\sffam\@ixpt{cmss9}}%
\def\psc{\@getfont\psc\scfam\@ixpt{\@mcsc \@ptscale9}}%  
\def\ly{\fam\lyfam\ninly}\textfont\lyfam\ninly 
   \scriptfont\lyfam\sixly \scriptscriptfont\lyfam\fivly 
\@setstrut \rm}

%\def\@ixpt{}

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    twocolumn
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\renewcommand\twocolumn{\global\columnwidth\textwidth
   \global\advance\columnwidth -\columnsep \global\divide\columnwidth\tw@
   \global\hsize\columnwidth \global\linewidth\columnwidth
   \global\@twocolumntrue \global\@firstcolumntrue
   \@dblfloatplacement\@ifnextchar[{\@topnewpage}{}}

\def\labelenumi{\arabic{enumi}.}
\def\theenumi{\arabic{enumi}}
\def\labelenumii{(\alph{enumii})}
\def\theenumii{\alph{enumii}}
\def\p@enumii{\theenumi}
\def\labelenumiii{\roman{enumiii}.}
\def\theenumiii{\roman{enumiii}}
\def\p@enumiii{\theenumi(\theenumii)}
\def\labelenumiv{\Alph{enumiv}.}
\def\theenumiv{\Alph{enumiv}}
\def\p@enumiv{\p@enumiii\theenumiii}

\def\labelitemi{$\bullet$}
\def\labelitemii{\bf --}
\def\labelitemiii{$\ast$}
\def\labelitemiv{$\cdot$}

\def\verse{\let\\=\@centercr
 \list{}{\itemsep\z \itemindent -1.5em\listparindent \itemindent
 \rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]}
\let\endverse\endlist
\def\quotation{\list{}{\listparindent 1.5em
 \itemindent\listparindent
 \rightmargin\leftmargin\parsep 0pt plus 1pt}\item[]}
\let\endquotation=\endlist
\def\quote{\list{}{\rightmargin\leftmargin}\item[]}
\let\endquote=\endlist

\def\descriptionlabel#1{\hspace\labelsep \bf #1}
\def\description{\list{}{\labelwidth\z@ \itemindent-\leftmargin 
\itemindent -1em
\labelsep 0pt \leftmargin 1em \itemsep 10pt
\let\makelabel\descriptionlabel}}
\let\enddescription\endlist
\newdimen\descriptionmargin
\descriptionmargin=3em

%\arraycolsep 6pt \tabcolsep 6pt \arrayrulewidth .25pt \doublerulesep 2pt
\arraycolsep 6pt \tabcolsep 6pt \arrayrulewidth .4pt \doublerulesep 2pt
\tabbingsep \labelsep

\skip\@mpfootins = \skip\footins
%\fboxsep = 3pt \fboxrule = .25pt
\fboxsep = 3pt \fboxrule = .4pt

\newcounter{section}
\newcounter{subsection}[section]
\newcounter{subsubsection}[subsection]

\def\thesection{\arabic{section}}
\def\thesubsection{\arabic{section}.\arabic{subsection}}
\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}

\font\tensyb=cmbsy10\relax
\newcommand{\secsymbol}{\mbox{\tensyb\symbol{'170}}}
\def\@secapp{\secsymbol}

\def\@pnumwidth{1.55em}
\def\@tocrmarg {2.55em}
\def\@dotsep{4.5}
\setcounter{tocdepth}{2}

\def\thebibliography#1{\vskip 16pt
{\hrule width \halftextwidth \vskip 8pt\@mkboth
 {BIBLIOGRAPHY}{BIBLIOGRAPHY}}\list
{\scriptsize\arabic{enumi})}{\scriptsize\settowidth
 \labelwidth{[#1]}\leftmargin\labelwidth
 \advance\leftmargin\labelsep
 \usecounter{enumi}}
 \sloppy
 \sfcode`\.=1000\relax}
\let\endthebibliography=\endlist

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%\def\footnoterule{\noindent\vskip1\baselineskip \kern-3\p@
%%%\def\footnoterule{\vfill \noindent\vskip1\baselineskip \kern-3\p@
\def\footnoterule{\vfill \kern-3\p@
 \hrule width \halftextwidth
 \kern 2.6\p@}

%\def\numberfootnotes{\setcounter{footnote}{0}%
%    \gdef\thefootnote{\arabic{footnote}}}
%\def\letterfootnotes{\setcounter{footnote}{0}%
%    \gdef\thefootnote{\rm\alph{footnote})}}
\def\symbolfootnotes{\setcounter{footnote}{0}%
    \gdef\thefootnote{\fnsymbol{footnote}}}

\gdef\@thanks{}\symbolfootnotes

\long\def\@makefntext#1{\vskip3pt \hsize=\halftextwidth \par
\noindent
%\scriptsize \hskip6pt $^{\@thefnmark}$\hskip-1pt#1\vskip-3pt}
\scriptsize \hskip3pt $^{\@thefnmark}$\hskip+2pt#1\vskip-2pt}


%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    definition of footnote mark
%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%            modified
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\ifnum \@footstyle=0 
\def\@fnsymbol#1{\ifcase#1\or *\or **\or ***\or
   ****\or *****\or ******\or *******\or ********
   \or ********* \else\@ctrerr\fi\relax}
\else
\def\@fnsymbol#1{\ifcase#1\or \dagger\or \ddagger\or \dagger\dagger\or
   \ddagger\ddagger\or \dagger\dagger\dagger\or \ddagger\ddagger\ddagger\or
   \dagger\dagger\dagger\dagger\or \ddagger\ddagger\ddagger\ddagger
   \else\@ctrerr\fi\relax}
\fi

\def\fnsymbol#1{\@fnsymbol{\@nameuse{c@#1}}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setcounter{topnumber}{15}
\def\topfraction{0.9}
\setcounter{bottomnumber}{20}
\def\bottomfraction{0.9}
\setcounter{totalnumber}{35}
\def\textfraction{0.1}
\def\floatpagefraction{0.9}
\setcounter{dbltopnumber}{2}
\def\dbltopfraction{.7}
\def\dblfloatpagefraction{1}

%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    definition of @makecaption
%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%            modified
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\long\def\@makecaption#1#2{\scriptsize
 \vskip 1.5\baselineskip
     \ifnum \halfflag>0
        \hsize=\halftextwidth
     \else
        \hsize=\fulltextwidth
     \fi
 \setbox\@tempboxa\hbox{#1.\hskip1em#2}
 \ifdim \wd\@tempboxa >\hsize 
     \par\hangindent=8pt {#1.\hskip1em#2\par} 
 \else 
     \hbox to \hsize{\hfil\box\@tempboxa\hfil}
 \fi}

\long\def\@caption#1[#2]#3{\par
     \begingroup
     \@parboxrestore
     \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par
     \endgroup}

\newcounter{figure}
\def\thefigure{\@arabic\c@figure}
\def\fps@figure{htbp}
\def\ftype@figure{1}
%\def\ext@figure{lof}
\def\fnum@figure{Fig.\hskip.5em\thefigure}
\newcounter{table}
\def\thetable{\@Roman\c@table}
\def\fps@table{htbp}
\def\ftype@table{2} 
%\def\ext@table{lot}
\def\fnum@table{Table\hskip.5em\thetable}

%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    figure and table environments
%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%            modified
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\full{\if@twocolumn \vspace{13pt} 
\hrule width \halftextwidth \vspace{2pt}  
\hrule width \halftextwidth \vspace{13pt}  
\fulltext\@dblfloat{figure} \else \fulltext \fi}
\def\endfull{\if@twocolumn \end@dblfloat\halftext \else \halftext \fi}

\def\fullfigure{\hspace{-6pt}\fulltext\@dblfloat{figure}}
\def\endfullfigure{\vspace{24pt}\end@dblfloat\halftext}
\def\halffigure{\hspace{-6pt}\halftext\@float{figure}}
%\def\halffigure{\halftext\@float{figure}}
\def\endhalffigure{\vspace{24pt}\end@float\halftext}

\def\figure{\halffigure}
\def\endfigure{\vspace{24pt}\end@float\halftext}

\def\fulltable{\hspace{-6pt}\fulltext\scriptsize\@dblfloat{table}}
\def\endfulltable{\vspace{24pt}\end@dblfloat\halftext}

\def\halftable{\hspace{-6pt}\halftext\scriptsize\@float{table}}
\def\endhalftable{\vspace{24pt}\end@float}

\def\table{\halftable}
\def\endtable{\vspace{24pt}\end@float}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\halftabular{\halftext\vskip5pt
                 \def\@halignto{to \halftextwidth}\@tabular}
\def\fulltabular{\fulltext\vskip5pt
                 \def\@halignto{to \fulltextwidth}\@tabular}

%%% The following 3 lines were added on May 4, 1995.
\def\@tabular{\leavevmode \hbox \bgroup $\let\@acol\@tabacol 
   \let\@classz\@tabclassz
   \let\@classiv\@tabclassiv \let\\\@tabularcr\@tabarray}
\renewcommand{\tabular}{\halftabular}

\def\endhalftabular{\crcr\egroup\egroup $\egroup \vspace{4pt}}
\def\endfulltabular{\crcr\egroup\egroup $\egroup \vspace{4pt}}
\def\endtabular{\crcr\egroup\egroup $\egroup \vspace{4pt}}

\def\hline{\\[-8pt]\noalign{\ifnum0=`}\fi \hrule \@height
\arrayrulewidth \futurelet \@tempa\@xhline \\[-8pt]}

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    figureheight
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand\figureheight[1]{
\vspace{24pt}
\begin{center} 
    \ifnum \halfflag>0
       \hsize=\halftextwidth
       \fbox{\rule{0cm}{#1}\hspace{7cm}}
    \else
       \hsize=\fulltextwidth
       \fbox{\rule{0cm}{#1}\hspace{14cm}} 
    \fi
\end{center}
}

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    epsfigure
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand\epsfigure[1]{
\vspace{24pt}
\begin{center} 
\epsfile{#1}
\end{center}
}

%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    definition of maketitle
%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%            modified
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\maketitle{\par
 \ifnum \@columnstyle=1 \twocolumn \fi
 \begingroup
 \def\thefootnote{\fnsymbol{footnote}}
 \def\@makefnmark{\mbox{$^{\@thefnmark}$\hss}} 

\ifnum \@prtchoice=2 
 \global\@topnum\z@ \@maketitle
\else
 \if@twocolumn
 \twocolumn[\vspace{\baselineskip} \@maketitle]
%%%
 \vspace*{-12pt}
%%%
 \else %\newpage
 \global\@topnum\z@ \@maketitle \fi
\fi
 \thispagestyle{topheadings}\@thanks
 \endgroup
 \setcounter{footnote}{0}
 \let\maketitle\relax
 \let\@maketitle\relax
 \gdef\@thanks{}\gdef\@author{}\gdef\@inst{}
 \gdef\@title{}\let\thanks\relax}

\def\@maketitle{
\null
\ifnum \@prtchoice=2 \else \vskip\baselineskip \fi
\@titletext

\def\hang{\par\hangindent=0pt\hangafter=1\noindent}

\begin{center}
\begin{minipage}[t]{\@titlewidth}
\begin{center}
{\large\bf \hang \@title \par} 
\vskip 5.0mm
{\hang \@author}
\ifnum \@errorstyle=1
{\hang J. Phys. Soc. Jpn. \@recdate}
\else
\vskip 9pt
\fi
\@ifundefined{@inst}{\def\@inst{}}{}
{\instsize\it \hang \@inst \par }
\vskip 9pt
\end{center}
\end{minipage}
\end{center}

\ifnum \@errorstyle=0 
\@ifundefined{@recdate}{}{}
\begin{center} 
\scriptsize (Received \@recdate) 
\end{center}
\gdef\@recdate{} \par 
\vskip 12pt
\fi

\@ifundefined{@abst}{}{
\begin{center}
\parbox[t]{\@abstwidth}{\setlength{\parindent}{2.5mm} \abstsize \@abst}
\gdef\@abst{} \par
\end{center}
\vskip16pt
}

\newcommand\ssf{\scriptsize\sf}
\@ifundefined{@kword}{}{
\begin{center}
{\ssf KEYWORDS:} 
\parbox[t]{\@kwordwidth}{\ssf \@kword}
\gdef\@kword{}
\par
%\vskip 24pt
\vskip 16pt
\end{center}
}
\vskip 16pt

\if@twocolumn \else \vspace{-8pt} \fi
\halftext
}

\@nameuse{@printstyle}
\@ifundefined{@printstyle}{}{\newpage}

\long\def\inst#1{\long\gdef\@inst{#1}}
\def\recdate#1{\gdef\@recdate{#1}}
\def\abst#1{\gdef\@abst{#1}}
\def\kword#1{\gdef\@kword{#1}}

\mark{{}{}}

\def\ps@topheadings{
\let\@mkboth\markboth
\ifnum \@officestyle=1
\ifnum \@jclass=1
\def\@oddhead{\scriptsize \def\@halignto{}\@tabular{ll}
              \@jname \\ \jpage
              \crcr\egroup\egroup $\egroup}
\else
\ifnum \@errorstyle=0
\def\@oddhead{\scriptsize \def\@halignto{}\@tabular{ll}
              \@jname \\ \jpage
              \crcr\egroup\egroup $\egroup \hfil \jclassname}
\else
\def\@oddhead{\scriptsize \def\@halignto{}\@tabular{ll}
              %\@jname \\ \jpage
              \crcr\egroup\egroup $\egroup \hfil \jclassname}
\fi
\fi
\else
\def\@oddhead{\hfil \@typeset}
\fi
\let\@evenhead\@oddhead
\def\@oddfoot{\scriptsize \hfil \rm \thepage \hfil}
\let\@evenfoot\@oddfoot
}

\def\ps@headings{
\let\@mkboth\markboth
\ifnum \@officestyle=1
\ifnum \@jclass=1
\def\@oddhead{\scriptsize \@jyear) \hfil \runtitle \hfil \thepage}
\def\@evenhead{\scriptsize \thepage \hfil \runauthor \hfil 
              (Vol. \@jvolume,}
\else
\def\@oddhead{\scriptsize \hfil \runtitle \hfil \thepage}
\def\@evenhead{\scriptsize \thepage \hfil \runauthor \hfil}
\fi
\else
\def\@oddhead{\scriptsize \hfil \runtitle \hfil \thepage}
\def\@evenhead{\scriptsize \thepage \hfil \runauthor \hfil}
\fi
\def\@oddfoot{}
\def\@evenfoot{}
}

\def\today{\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\day, \number\year}

\pagenumbering{arabic} \onecolumn

\def\sloppy{\tolerance=9999
\hfuzz=.5\p@ \vfuzz=.5\p@}

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    acknowledgements 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand{\acknowledgement}{\section*{Acknowledgement}}
\newcommand{\acknowledgements}{\section*{Acknowledgements}}

%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\@nullstring{}
\def\@appendixstring{Appendix}

\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
     \def\@svsec{}\else
       \ifnum #2=1		% TRUE if \section{}
         \refstepcounter{#1}
         \def\@appendixtitle{#8}
         \ifx\@secapp\@appendixstring
           \ifx\@appendixtitle\@nullstring
             \edef\@svsec{\@secapp \csname the#1\endcsname\hskip 1em}
           \else
             \edef\@svsec{\@secapp \csname the#1\endcsname:\hskip 1em}
           \fi
         \else
           \ifx\thesection\@nullstring
             \edef\@svsec{\@secapp \csname the#1\endcsname\hskip 1em}
           \else
             \edef\@svsec{\@secapp \csname the#1\endcsname.\hskip 1em}
           \fi
         \fi
       \else
         \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname\hskip 1em}
       \fi
     \fi
     \@tempskipa #5\relax
      \ifdim \@tempskipa>\z@
        \begingroup #6\relax
          \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}
        \endgroup
       \csname #1mark\endcsname{#7}
      \else
        \def\@svsechd{#6\hskip #3\@svsec #8\csname #1mark\endcsname{#7}
      }\fi
     \@xsect{#5}}

%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    appendix
%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%           modified
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcount\@appendixflag
\@appendixflag=0
\newcount\@appendixindex
\@appendixindex=0

\def\getappendix#1{\global\@namedef{appnedix@#1}{1}}
\def\appendix{\par
\renewcommand{\section}[1]{\sectiona{##1}}
}

\def\sectiona{
%%% \c@table=0
%%% \c@figure=0
 \setcounter{equation}{0}
 \ifnum \@appendixflag=0
   \setcounter{section}{0} \@appendixflag=1
   \def\@secapp{Appendix}
%%%   \def\thetable{\Alph{section}$\cdot$\@arabic\c@table}%
%%%   \def\thefigure{\Alph{section}$\cdot$\@arabic\c@figure}
   \def\theequation{\Alph{section}\raise.5ex\hbox{.}\arabic{equation}}
 \fi

 \@ifundefined {appnedix@1}{\def\thesection{}}
   {\def\thesection{\ \Alph{section}}}

% \def\thesubsection {\rm \Alph{section}.\arabic{subsection}}
% \def\thesubsection {{\it \Alph{section}.\arabic{subsection}}}
 \def\thesubsection {\Alph{section}.\arabic{subsection}}
 \if@filesw \immediate\write\@auxout
       {\string\getappendix{\the\@appendixindex}}
 \advance \@appendixindex by 1 \fi
\@startsection{section}{1}{\z@}
{8truept}{4truept}{\normalsize\bf}}

%%%%%%%%% JJAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    eqnarray
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\eqnarray{
  \stepcounter{equation}
  \let\@currentlabel=\theequation
  \global\@eqnswtrue
  \global\@eqcnt\z@
  \tabskip\@centering
  \let\\=\@eqncr
  $$\halign to \displaywidth\bgroup\@eqnsel\hskip\@centering
  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
  \hfil$\displaystyle{{}##{}}$\hfil
  &\global\@eqcnt\tw@$\displaystyle\tabskip\z@{##}$\hfil
  \tabskip\@centering&\llap{##}\tabskip\z@\cr}

\ifnum \@prtstyle=0 \pagestyle{plain} \else \pagestyle{headings} \fi

%%%%%%%%% JPSJ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    style option [seceq]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\ifnum \@eqstyle=0 
  \def\theequation{\arabic{equation}}
\else 
  \@addtoreset{equation}{section}
  \def\theequation{\arabic{section}.\arabic{equation}}
\fi

%\endinput


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% File: subeqn.sty
%%% The subequations environment %%%
%
% Within the subequations environment, the only change is that
% equations are labeled differently.  The number stays the same,
% and lower case letters are appended.  For example, if after doing
% three equations, numbered 1, 2, and 3, you start a subequations
% environmment and do three more equations, they will be numbered
% 4a, 4b, and 4c.  After you end the subequations environment, the
% next equation will be numbered 5.
%
% Both text and equations can be put inside the subequations environment.
%
% If you make any improvements, I'd like to hear about them.
%
% Stephen Gildea
% MIT Earth Resources Lab
% Cambridge, Mass. 02139
% mit-erl!gildea
% gildea@erl.mit.edu
%
\newtoks\@stequation

\def\subequations{\refstepcounter{equation}%
  \edef\@savedequation{\the\c@equation}%
  \@stequation=\expandafter{\theequation}%   %only want \theequation
  \edef\@savedtheequation{\the\@stequation}% %expanded once
  \edef\oldtheequation{\theequation}%
  \setcounter{equation}{0}%
  \def\theequation{\oldtheequation\alph{equation}}}

\def\endsubequations{%
  \setcounter{equation}{\@savedequation}%
  \@stequation=\expandafter{\@savedtheequation}%
  \edef\theequation{\the\@stequation}%
  \global\@ignoretrue}

% More from John Hobby
% Fix Plain's \bigl, \Bigl, etc. macros so that they try to scale with
% LaTeX size changes.  This uses the fact that \@setsize sets \ht\strutbox
% to be 70% of the normal unstretched baselineskip.

\def\big#1{{\hbox{$\left#1\vcenter to1.428\ht\strutbox{}\right.\n@space$}}}
\def\Big#1{{\hbox{$\left#1\vcenter to2.142\ht\strutbox{}\right.\n@space$}}}
\def\bigg#1{{\hbox{$\left#1\vcenter to2.857\ht\strutbox{}\right.\n@space$}}}
\def\Bigg#1{{\hbox{$\left#1\vcenter to3.571\ht\strutbox{}\right.\n@space$}}}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%+
% Subeqnarray DOCUMENT-STYLE option -- Version 1.1 released 15 November 1988
%    for LaTeX version 2.09
%
% Copyright (C) 1988 by Johannes Braams, Dr Neher Laboratories
%
%    This style option defines the subeqnarray and subeqnarray*
%    environment, which behaves like the eqnarray environment,
%    except that the lines are numbered like 1a 1b 1c etc.
%    To refer to these numbers an extra label command \slabel
%    has been defined.
%
%    Many of this code was taken from LaTeX.TeX and modified for
%    this purpose.
%
% Revisions:
%
%    22 December 1988    V1.1    JB    Fixed bug in subeqnarray* environment
%
%-
\typeout{Documentstyle option `subeqnarray' V1.1;  Released 22 December 1988}
%
%    A new counter for he subequations
%    and a command to generate the number
%
\newcounter{subequation}[equation]
\def\thesubequation{\theequation\@alph\c@subequation}
%
%  \@subeqnnum: Produces the equation number for the
%     subeqnarray environment.  The following definition is for
%     flushright numbers; for flushleft numbers, see leqno.doc.
%     The {\rm ... } puts the subequation number in roman type even if
%     an subeqnarray environment appears in an italic environment.
%
\def\@subeqnnum{{\rm (\thesubequation)}}
%
%    A new label command to refer to subequations. It works
%    like the \label command and was taken from LaTeX.TeX
%
%  \slabel{FOO} then writes the following on file \@auxout :
%        \newlabel{FOO}{{eval(\@currentlabel)}{eval(\thepage)}}
%
\def\slabel#1{\@bsphack\if@filesw {\let\thepage\relax
   \xdef\@gtempa{\write\@auxout{\string
      \newlabel{#1}{{\thesubequation}{\thepage}}}}}\@gtempa
   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
%
%    Here's the subeqnarray environment,
%        it steps the equation counter,
%        sets the subequation counter equal to 1
%        and behaves much like the eqnarray environment.
%
\def\subeqnarray{\stepcounter{equation}
\let\@currentlabel=\theequation\global\c@subequation\@ne
\global\@eqnswtrue
\global\@eqcnt\z@\tabskip\@centering\let\\=\@subeqncr
$$\halign to \displaywidth\bgroup\@eqnsel\hskip\@centering
  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
  \hskip 2\arraycolsep \hfil${##}$\hfil
  &\global\@eqcnt\tw@ \hskip 2\arraycolsep $\displaystyle\tabskip\z@{##}$\hfil
   \tabskip\@centering&\llap{##}\tabskip\z@\cr}

\def\endsubeqnarray{\@@subeqncr\egroup
                     $$\global\@ignoretrue}

\def\@subeqncr{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
    \@ysubeqncr}{\global\@eqpen\interdisplaylinepenalty \@ysubeqncr}}

\def\@ysubeqncr{\@ifnextchar [{\@xsubeqncr}{\@xsubeqncr[\z@]}}

\def\@xsubeqncr[#1]{\ifnum0=`{\fi}\@@subeqncr
   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}

\def\@@subeqncr{\let\@tempa\relax
    \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}
      \else \def\@tempa{&}\fi
     \@tempa \if@eqnsw\@subeqnnum\refstepcounter{subequation}\fi
     \global\@eqnswtrue\global\@eqcnt\z@\cr}

% Here's the subeqnarray* environment:

\let\@ssubeqncr=\@subeqncr
\@namedef{subeqnarray*}{\def\@subeqncr{\nonumber\@ssubeqncr}\subeqnarray}
\@namedef{endsubeqnarray*}{\global\advance\c@equation\m@ne%
                           \nonumber\endsubeqnarray}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%     O V E R C I T E . S T Y
%
%     version 3.5  (Aug 1995)
%
%     Compressed, sorted lists of superscript numerical citations.
%     see also CITE.STY and DRFTCITE.STY
%
%     Copyright (C) 1989-1995 by Donald Arseneau
%     These macros may be freely transmitted, reproduced, or modified
%     purposes provided that this notice is left intact.
%
%     Instructions follow \endinput.
%  ------------------------------------
%   Handle optional variations:  [verbose,nospace,space,ref],
%   \citeform,\citeleft,\citeright,\citemid,\citepunct
%
%   Set defaults:

%   [ on the left.  Option [ref] does: [Ref. 12, note]
\@ifundefined{citeleft}{\let\citeleft=[}{}

%   ] on the right:
\@ifundefined{citeright}{\let\citeright=]}{}

%   , (comma space) before note
\@ifundefined{citemid}{\def\citemid{,\penalty\@medpenalty\ }}{}

%   , (comma thin-space) between entries; [nospace] eliminates the space
\@ifundefined{citepunct}{
   \def\citepunct{,\penalty\@m\hskip.13emplus.1emminus.1em}%
  }{}

%   Each number left as-is:
\@ifundefined{citeform}{\def\citeform{}}{}

%   Do not repeat warnings.  [verbose] reverses
\let\oc@verbo\relax

\@ifundefined{DeclareOption}{}%
{ \toks@={\def\oc@verbo#1#2#3#4{}}
  \DeclareOption{verbose}{\the\toks@}
  \DeclareOption{nospace}{\def\citepunct{,\penalty\@m}}
  \DeclareOption{space}{\def\citepunct{,\penalty\@highpenalty\ }}
  \DeclareOption{ref}{\def\citeleft{[Ref.\penalty\@M\ }}
  \ProcessOptions
  \ProvidesPackage{overcite}[1995/03/17 \space  v 3.5x]
}

%----------------------
% \citen uses \nocite to ignore spaces after commas, and write the aux file
% \citation. \citen then loops over the citation tags, using \@make@cite@list
% to make a sorted list of numbers.  Finally, \citen executes \@citelist to
% compress ranges of numbers and print the list. \citen can be used by itself
% to give citation numbers without the brackets and other formatting; e.g.,
% "See also ref.~\citen{junk}."
%
\edef\citen{\noexpand\protect \expandafter\noexpand\csname citen \endcsname}

\@namedef{citen }#1{%
\nocite{#1}% ignores spaces, writes to .aux file, returns #1 in \@tempa!!
\@tempcntb\m@ne    % \@tempcntb tracks highest number
\let\@h@ld\relax   % nothing held from list yet
\let\@citea\@empty % no punctuation preceding first
\let\@celt\delimiter % an unexpandable, but identifiable, token
\def\@cite@list{}% % empty list to start
\@for \@citeb:=\@tempa \do{\@make@cite@list}% make a sorted list of numbers
% After sorted citelist is made, execute it to compress citation ranges.
\@tempcnta\m@ne    % no previous number
\let\@celt\@compress@cite \@cite@list % output number list with compression
\@h@ld}% output anything held over

% Aliases:
\let\citenum\citen
\let\citeonline\citen

% For each citation, check if it is defined and if it is a number.
% if a number: insert it in the sorted \@cite@list
% otherwise: output it immediately.
%
\begingroup \catcode`\_=8 % Just in case it was changed
\toks@={
\def\@make@cite@list{%
 \expandafter\let \expandafter\@B@citeB
          \csname b@\@citeb\@extra@b@citeb \endcsname
 \ifx\@B@citeB\relax % undefined: output ? and warning
    \@citea {\bf{?}}\let\@citea\citepunct \G@refundefinedtrue
    \@warning {Citation `\@citeb' on page \thepage\space undefined}%
    \oc@verbo \global\@namedef{b@\@citeb\@extra@b@citeb}{?}%
 \else %  defined               % remove previous line to repeat warnings
    \ifcat _\ifnum\z@<0\@B@citeB _\else A\fi % a positive number, put in list
       \@tempcnta\@B@citeB \relax
       \ifnum \@tempcnta>\@tempcntb % new highest, add to end (efficiently)
          \edef\@cite@list{\@cite@list \@celt{\@B@citeB}}%
          \@tempcntb\@tempcnta
       \else % arbitrary number: insert appropriately
          \edef\@cite@list{\expandafter\@sort@celt \@cite@list \@gobble @}%
       \fi
    \else % citation is not a number, output immediately
       \@citea \citeform{\@B@citeB}%
       \let\@citea\citepunct
 \fi\fi}
}
\expandafter \endgroup \the\toks@  % restore _ catcode

% Check if each number follows previous and can be put in a range
%
\def\@compress@cite#1{%  % This is executed for each number
  \advance\@tempcnta\@ne % Now \@tempcnta is one more than the previous number
  \ifnum #1=\@tempcnta   % Number follows previous--hold on to it
     \ifx\@h@ld\relax    % first pair of successives
        \edef\@h@ld{\@citea \noexpand\citeform{#1}}%
     \else               % compressible list of successives
        \def\@h@ld{\hbox{--}\penalty\@m \citeform{#1}}%
     \fi % (using \hbox avoids easy \exhyphenpenalty breaks)
  \else   %  non-successor -- dump what's held and do this one
     \@h@ld \@citea \citeform{#1}\let\@h@ld\relax
  \fi \@tempcnta#1\let\@citea\citepunct
}

% \@sort@celt inserts number (\@tempcnta) into list of \@celt{num} (#1{#2})
% \@celt must not be expandable; list should end with two vanishing tokens.
%
\def\@sort@celt#1#2{\ifx \@celt #1% parameters are \@celt {num}
     \ifnum #2<\@tempcnta % number goes later in list
        \@celt{#2}%
        \expandafter\expandafter\expandafter\@sort@celt % continue
     \else % number goes here
        \@celt{\number\@tempcnta}\@celt{#2}% stop comparing
  \fi\fi}

% Make \cite robust and choose superscript or normal
%
\edef\cite{\noexpand\protect\expandafter\noexpand\csname cite \endcsname}

\@namedef{cite }{\@ifnextchar[{\@tempswatrue\@citew}{\@tempswafalse\@citex}}

% \cite command has optional note, so do on line. Put highpenalty before; if
% no preceding space, or if preceding punctuation, then force interword space
%
\def\@citew[#1]#2{\leavevmode
  \@tempskipa\lastskip \edef\@tempa{\the\@tempskipa}\unskip
  \ifnum\lastpenalty=\z@ \penalty\@highpenalty \fi
  \ifx\@tempa\@zero@skip \spacefactor1001 \fi % if no space before, set flag
  \ifnum\spacefactor>\@m \ \else \hskip\@tempskipa \fi
  \citeleft{\citen{#2}\citemid{#1}}\citeright
  \spacefactor\@m % punctuation in note doesn't affect outside
}

%  No note, so superscript, but check for punctuation first.
%
\def\@citex#1{\begingroup \leavevmode \@tempcnta\@m \unskip
  \/% this allows the last word to be hyphenated, and it looks better.
  \def\@tempa{\@cite{\citen{#1}}\spacefactor\@tempcnta\endgroup}%
  \futurelet\@tempb\@citey}%
%% to not move punctuation, replace previous line with:
%%  \@tempa}%

%  Move trailing punctuation before the citation:
%
\def\@citey{\let\@tempc\@tempa
   % Watch for double periods and suppress them
   \ifx\@tempb.\ifnum\spacefactor>2999 \let\@tempb\relax\fi\let\@tempc\@citez
   % Move other punctuation
   \else\ifx\@tempb,\let\@tempc\@citez
   \else\ifx\@tempb:\let\@tempc\@citez % add other punctuation as necessary,
   \else\ifx\@tempb;\let\@tempc\@citez % with balancing \fi s
   \fi\fi\fi\fi
   \@tempc}%

% Place punctuation (except periods) before citation, and remember spacefactor
% of that punctuation
%
\def\@citez#1{\@tempcnta\sfcode`#1\@tempb\futurelet\@tempb\@citey}%

%  Replacement for \@cite which defines the formatting normally done
%  around the citation list.  This uses superscripts with no brackets.
%  HOWEVER, trailing punctuation has already been moved over.  The
%  format for cites with note is given by \@citew.  Redefine \@cite
%  and/or \@citew to get different appearance.
%
\def\@cite#1{$\m@th^{\hbox{\@ove@rcfont#1}}$}

\@ifundefined{selectfont}{% original LaTeX
   \def\@ove@rcfont{\the\scriptfont\z@ \def\bf{\the\scriptfont\bffam}}
  }{% NFSS
  \@ifundefined{fontsize}{% \fontsize undefined: strange NFSS
    \def\@ove@rcfont{\the\scriptfont\z@}\let\bf\relax % hope this works
    }{% `normal' NFSS/LaTeX2e:
    \def\@ove@rcfont{\csname S@\f@size\endcsname
        \fontsize{\sf@size}{\baselineskip}\selectfont}
 }}

\edef\@zero@skip{\the\z@skip}

% \nocite: This is changed to ignore *ALL* spaces and be robust.  The
% parameter list, with spaces removed, is `returned' in \@tempa, which
% is used by \citen.
%
\edef\nocite{\noexpand\protect\expandafter\noexpand\csname nocite \endcsname}

\@namedef{nocite }#1{%
\edef\@tempa{\@ignsp#1 \! }% remove *ALL* spaces from parameter list
\if@filesw \immediate \write \@auxout {\string \citation {\@tempa}}\fi}

% for ignoring *ALL* spaces in the input.  This presumes there are no
% \outer tokens and no \if-\fi constructs in the parameter.  Spaces inside
% braces are retained.
%
\def\@ignsp#1 {\ifx\!#1\@empty\else #1\expandafter\@ignsp\fi}

\let\nocitecount\relax  % in case \nocitecount was used for drftcite

\@ifundefined{@extra@b@citeb}{\def\@extra@b@citeb{}}{}
%  in case no fancy bib package (chapterbib) defines this

\@ifundefined{G@refundefinedtrue}{\let\G@refundefinedtrue\relax}{}

%\endinput

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%                   OVERCITE.STY
%
%Modify LaTeX's normal citation mechanism to:
%
%o Display citations as superscript numbers, with a comma and a small space
%  between each number, and with three or more consecutive numbers compressed
%  into a range like 3-7.
%
%o Sort citation numbers into ascending order; print non-numbers before numbers.
%  All numbers should be greater than zero.
%
%o If an optional note is given, typeset the whole list of citations at regular
%  size as if cite.sty was in effect.  (See cite.sty).
%
%o Use THE SAME INPUT FORMAT as for ordinary citations; this style will ignore
%  spaces before the citation, and move trailing punctuation to before the
%  citation.  For example, "...information \cite{source};" ignores the space
%  before \cite and puts the semicolon before the number, just as if you typed
%  "...information;$^{12}$"
%
%o The punctuation that will migrate before the superscript is .,;:.  Perhaps
%  ! and ? should too, but they weren't listed in the APS style manual I looked
%  at.  Quotes were listed, but they should never have to migrate because both
%  on-line and superscript versions put quotes before the citation.  This gives
%  one difficulty --- punctuation following quotes won't migrate inside the 
%  quotation.  For example,  "``Transition State Theory''\cite{Eyring}." gives
%  "``Transition State Theory''.$^8$", but you may want the period inside the
%  quotes, thus: ``Transition State Theory.''$^8$.
%
%o Doubling of periods (.., ?., !.) is checked for and suppressed. The spacing
%  after the citation is set according to the final punctuation mark moved.
%  There is a problem with double periods after a capitalized abbreviation
%  or directly after \@ : Both of "N.A.S.A. \cite{space}." and "et al.\@
%  \cite{many}." will give doubled periods.  These can be fixed as follows:
%  "N.A.S.A\@. \cite{space}." and "et al.\ \cite{many}.". These work properly
%  for both cite.sty and overcite.sty, but the NASA example gives the wrong
%  spacing when there is no citation.  Sorry.  Use \  after abbreviations like
%  et al. to get the right spacing within a sentence whether or not a citation
%  follows.
%
%o Define \citen to get just the numbers without the brackets or superscript
%  and extra formatting.  Aliases are \citenum and \citeonline for easy 
%  conversion to other citation packages.
%
%o `Citation...undefined' warnings are only given once per undefined citation
%  tag.  In the text, missing numbers are represented with a bold `?' at the
%  first occurrence, and with a normal `?' thenceforth.  The package option
%  [verbose] restores the usual repeated warnings.
%
%o Make \nocite, \cite, and \citen all ignore spaces in the input tags.
%
%Although each \cite command sorts its numbers, better compression into
%ranges can usually be achieved by carefully selecting the order of the
%\bibitem entries, or the order of initial citations when using BibTeX.
%Having the entries pre-sorted will also save processing time, especially
%for long lists of numbers.
%
%Customization:
%~~~~~~~~~~~~~~
%There are several commands that you may redefine to change the formatting
%of citation lists:
%
%command       function                   default
%----------    -----------------------    ----------------------------
%\citeform     re-formats every entry     nothing
%\citepunct    printed between numbers    comma + penalty + thin space
%\citeleft     left delimiter of list     [
%\citeright    right delimeter of list    ]
%\citemid      printed before note        comma + space
%
%The left/mid/right commands only affect the formatting of citations with
%optional notes: \cite[xxx]{yyy}.  You may use \renewcommand to change any
%of these.  Remember, these commands are extensions made by this package;
%they are not regular LaTeX.
%
%Under LaTeX2e, there are four options for \usepackage{overcite}:
% [verbose] causes warnings for undefined citations to be repeated each time 
%           they are used.
% [ref]     uses the format `[Ref.~12, optional note]' when \cite[]{} appears.
% [nospace] eliminates the spaces after commas in the number list.
% [space]   uses a full inter-word space with no penalty after the commas
%
%These and other variations can be achieved using \renewcommand.
%Some examples:
%
%\renewcommand\citeform[1]{\romannumeral 0#1}} % roman numerals ^{i,vi}
%\renewcommand\citeform[1]{(#1)} % parenthesized numbers ^{(1)-(5)}
%\renewcommand\citeform{\thechapter.}  % by chapter: ^{2.18-2.21}
%\renewcommand\citepunct{,} % no space and no breaks at commas
%\renewcommand\citemid{; }  % semicolon before optional note
%\renewcommand\citeleft{(}  % parentheses around list
%\renewcommand\citeright{)} % parentheses around list
%
%The appearance of the whole citation list is governed by \@cite, (for no
%note) and \@citew (when a note is given).  For more extensive changes to the
%formatting, redefine \@cite and/or \@citew.  For example, to get brackets
%even in the superscripts, do: 
%
%\makeatletter \def\@cite#1{$\m@th^{\hbox{\@ove@rcfont[#1]}}$} \makeatother
%
%Related Note:  overcite.sty does not affect the numbering format of
%the bibliography; the "[12]" style is still the default.  To get
%superscripts in the bibliography (at any time) you can include
%
%   \renewcommand\@biblabel[1]{$^{#1}$}
%
%in your personal style file, or include
%
%   \makeatletter \renewcommand\@biblabel[1]{$^{#1}$} \makeatother
%
%directly in your document.  If this does not work, your LaTeX and/or
%document style are very outdated.
%
%\@extra@b@citeb is a hook for other style files to further specify
%citations; for example, to number by chapter (see chapterbib.sty).
%
%See also cite.sty for enhanced [5-9] type citations, and drftcite.sty
%for draft (draught) mode citations.
%
%ROBUST!
%
% Version 1991: Ignore spaces after commas in the parameter list. Move most of
% \citen into \@cmpresscites for speed. Give the proper \spacefactor afterwards.
% Version 1992: make \citepunct hold the punctuation between numbers (for ease
% of changing).  Add \/ to allow hyphenation of previous word, and look better
% in italics.
% 1992a: Make it work with NFSS.  (Thank you C. Hamlin and Rainer Schoepf)
%
% Version 3.0 (1992):  Rewrite, including sorting.  Make entries like "4th"
% be treated properly as text.
% 3.1: Bug fixes (Joerg-Martin Schwarz also convinced me to use \ifcat)
% 3.2: NFSS support was wrong--added \reset@font.  Suppress repetitions of
%      warnings.  Include \@extra@b@citeb hook.
% 3.3: Handle LaTeX2e options. Introduce various customization hooks.
% 3.4: Heuristics to avoid removing \hspace glue before on-line \cite.
%      Make \nocite ignore spaces in list, simplify. Aliases for \citen.
%      Compatability with amsmath (which defines \over).
% 3.5: Replace \reset@font with \selectfont so italics are preserved
%      Include \G@refundefinedtrue.  Fix cite-with-note bug (Lars Engebretsen).
%
% Send problem reports to asnd@Reg.triumf.ca
%
%Test file integrity:  ASCII 32-57, 58-126:  !"#$%&'()*+,-./0123456789
%:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\renewcommand\citeform[1]{#1)}
\def\@cite#1{$\m@th^{\hbox{\@ove@rcfont#1)}}$}
\endinput