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--- /arXMLiv/repos/arXMLiv/trunk/sty/tmp.cls	2010-04-02 23:40:44.000000000 +0200
+++ /arXMLiv/repos/arXMLiv/trunk/sty/ws-ijmpab.cls	2010-04-03 05:19:17.000000000 +0200
@@ -1,55 +1,68 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %% Trim Size: 9.75in x 6.5in
 %% Text Area: 8in (include Runningheads) x 5in
-%% ws-ijmpe.cls   :   20-12-04
-%% Class file to use with ws-ijmpe.tex written in Latex2E.
+%% ws-ijmpa.cls   :   16-11-05
+%% Class file to use with ws-ijmpa.tex written in Latex2E.
 %% The content, structure, format and layout of this style file is the
 %% property of World Scientific Publishing Co. Pte. Ltd.
 %% Copyright 1995, 2002 by World Scientific Publishing Co.
 %% All rights are reserved.
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%

-\NeedsTeXFormat{LaTeX2e}[1995/06/01]
-\ProvidesClass{ws-ijmpe}[1999/09/09 v1.0 Standardized LaTeX document class]
+%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesClass{ws-ijmpab}[1994/07/13 v1.2u Standard LaTeX document class]
 \@twosidetrue\@mparswitchtrue\@twocolumnfalse
 \newif\if@openright
 \@openrighttrue
 \newif\if@restonecol
 %
+\newif\if@draft
 %
-\newdimen\trimheight \trimheight9.73truein   %measure is 9.75truein
-\newdimen\trimwidth \trimwidth6.48truein     %measure is 6.50truein
-\newdimen\typeheight \typeheight48.1pc
-\newdimen\typewidth \typewidth30pc
-\newdimen\draftrule \draftrule=0pt
-\newdimen\tempdimen
-\newdimen\tablewidth
-\newdimen\normaltextheight
-\newbox\tempbox
-\newdimen\tablewd
+\newdimen\draftrule
+\draftrule=0pt
 %
 %
-%\DeclareOption{draft}{\setlength\overfullrule{5pt}\draftrule0.1pt}
-\DeclareOption{final}{\setlength\overfullrule{0pt}}
+\DeclareOption{splissue}{\@splissuetrue}
+\DeclareOption{draft}{\@drafttrue\setlength\overfullrule{5pt}\draftrule0.01pt}%

-\ExecuteOptions{a4paper,10pt,twoside,onecolumn,final}
-\ProcessOptions
 %
 \hoffset=-0.17in
 \voffset=0.17in

 %
+\DeclareOption{final}{\setlength\overfullrule{0pt}}
+%
+\ExecuteOptions{a4paper,10pt,twoside,onecolumn,final}
+\ProcessOptions
+%
 \newcommand\appendixname{Appendix}
 \newcommand\abstractname{Abstract}
 \newcommand\bibname{References}%
-\newcommand\contentsname{Contents}
-\newcommand\indexname{Index}
-\newcommand\figurename{Fig.}
-\newcommand\tablename{Table}
-\newcommand\partname{Part}
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Font Defs. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\newcommand\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}
+\newcount\minute
+\newcount\hour
+\def\currenttime{%
+	\minute\time
+	\hour\minute
+	\divide\hour60
+	\the\hour:\multiply\hour60\advance\minute-\hour\the\minute}
+%
+\newdimen\trimheight
+\newdimen\trimwidth
+\newdimen\typeheight
+\newdimen\typewidth
+\newdimen\tempdimen
+\newdimen\tablewidth
+\newdimen\normaltextheight
+\newbox\tempbox
+\newdimen\tablewd
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Fonts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 \def\foliofont{\fontsize{8}{10}\selectfont}
 \def\bibfont{\fontsize{9}{11}\selectfont}
@@ -57,8 +70,8 @@
 \def\catchlinefont{\footnotesize}
 \def\titlefont{\fontsize{10}{13}\bfseries\boldmath\selectfont\centering{}}
 \def\authorfont{\footnotesize}
-\def\affiliationfont{\centering\footnotesize\it}
 \def\abstractfont{\footnotesize}
+\let\affiliationfont\rhfont
 \def\datefont{\footnotesize}
 \def\sectionfont{\bfseries\boldmath\rightskip2pc plus1fill{}}
 \def\subsectionfont{\bfseries\boldmath\itshape\rightskip2pc plus1fill{}}
@@ -68,22 +81,6 @@
 \def\figurecaptionfont{\footnotesize}
 \def\tablefont{\footnotesize}
 \def\tablecaptionfont{\footnotesize}
-\def\tabnotefont{\footnotesize}
-\def\TCHfont{\bf}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Fonts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\DeclareOldFontCommand{\rm}{\rmfamily}{\mathrm}
-\DeclareOldFontCommand{\sf}{\sffamily}{\mathsf}
-\DeclareOldFontCommand{\tt}{\ttfamily}{\mathtt}
-\DeclareOldFontCommand{\bf}{\bfseries}{\mathbf}
-\DeclareOldFontCommand{\it}{\itshape}{\mathit}
-\DeclareOldFontCommand{\sl}{\slshape}{\@nomath\sl}
-\DeclareOldFontCommand{\sc}{\scshape}{\@nomath\sc}
-\DeclareRobustCommand\cal{\@fontswitch\relax\mathcal}
-\DeclareRobustCommand\mit{\@fontswitch\relax\mathnormal}
-\DeclareOldFontCommand{\bi}{\bfseries\itshape}{\@nomath\bi}
-\renewcommand{\rmdefault}{cmr}%
 %
 \renewcommand\normalsize{%
    \@setfontsize\normalsize\@xpt{13}%\@xiiipt
@@ -123,45 +120,75 @@
 \newcommand\LARGE{\@setfontsize\LARGE\@xviipt{22}}
 \newcommand\huge{\@setfontsize\huge\@xxpt{25}}
 \newcommand\Huge{\@setfontsize\Huge\@xxvpt{30}}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\setlength\parindent{1.5em}
-%
 \setlength\smallskipamount{3\p@ \@plus 1\p@ \@minus 1\p@}
 \setlength\medskipamount{6\p@ \@plus 2\p@ \@minus 2\p@}
 \setlength\bigskipamount{12\p@ \@plus 4\p@ \@minus 4\p@}
 %
+\DeclareOldFontCommand{\rm}{\rmfamily}{\mathrm}
+\DeclareOldFontCommand{\sf}{\sffamily}{\mathsf}
+\DeclareOldFontCommand{\tt}{\ttfamily}{\mathtt}
+\DeclareOldFontCommand{\bf}{\bfseries}{\mathbf}
+\DeclareOldFontCommand{\it}{\itshape}{\mathit}
+\DeclareOldFontCommand{\sl}{\slshape}{\@nomath\sl}
+\DeclareOldFontCommand{\sc}{\scshape}{\@nomath\sc}
+\DeclareOldFontCommand{\bi}{\bfseries\itshape}{\bfseries\itshape}
+\renewcommand{\rmdefault}{cmr}%
+%
+\DeclareMathSizes{28}{28}{25}{20}
+\DeclareMathSizes{24}{24}{21}{18}
+\DeclareMathSizes{22}{22}{19}{17}
+\DeclareMathSizes{20}{20}{17}{15}
+\DeclareMathSizes{18}{18}{15}{10}
+\DeclareMathSizes{12}{11}{8}{5}
+\DeclareMathSizes{11}{11}{8}{5}
+\DeclareMathSizes{10}{10}{7}{5}
+\DeclareMathSizes{9.5}{9}{7}{5}
+\DeclareMathSizes{9}{9}{7}{5}
+\DeclareMathSizes{8}{8}{6}{5}
+\DeclareMathSizes{7}{7}{5}{5}
+\DeclareMathSizes{6}{6}{5}{5}
+\DeclareMathSizes{5}{5}{5}{5}
+
+\def\cdash{$^{\raisebox{-0.5pt}{\hbox{--}}}$}
+
+\def\uc#1{\uppercase{#1}}
+
+\def\bm#1{\mathchoice
+	{\mbox{\boldmath$#1$}}%
+          {\mbox{\boldmath$#1$}}%
+          {\mbox{\boldmath$\scriptstyle#1$}}%
+          {\mbox{\boldmath$\scriptscriptstyle#1$}}}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%Initializations %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\trimheight9.73truein    %9.75truein
+\trimwidth6.48truein     %6.50truein
+\typeheight48.1pc
+\typewidth5truein
+%
+\setlength\parindent{1.5em}
 \setlength\headheight{5\p@}
 \setlength\headsep   {19pt}
 \setlength\topskip   {7\p@}
-\setlength\footskip{22pt}
+\setlength\footskip{25pt}
 \setlength\maxdepth{4\p@}
-%
-%\setlength\@maxdepth\maxdepth
-%
-\setlength\textwidth{\typewidth}
-\@settopoint\textwidth
+\setlength\@maxdepth\maxdepth
+\setlength\textwidth{5truein}
 \setlength\textheight\typeheight
 \advance\textheight-\headheight
 \advance\textheight-\headsep
 \setlength\normaltextheight{\textheight}
-%
-
 \setlength\oddsidemargin{.75in}
 \setlength\evensidemargin{.75in}
 %\addtolength\evensidemargin{-\textwidth}
 %\addtolength\evensidemargin{-\oddsidemargin}
-\setlength\topmargin{.75in}

-%
 \setlength\marginparwidth{.75in}
 \setlength\marginparsep{7\p@}
 \setlength\marginparpush{5\p@}
-%
-\setlength\footnotesep{6\p@}
+\setlength\topmargin{.75in}
+\setlength\footnotesep{6\p@}%6pt
 \setlength{\skip\footins}{18\p@ \@plus 5\p@ \@minus 2\p@}
-%
 \setlength\floatsep    {18\p@ \@plus 2\p@ \@minus 2\p@}
 \setlength\textfloatsep{18\p@ \@plus 2\p@ \@minus 4\p@}
 \setlength\intextsep   {18\p@ \@plus 2\p@ \@minus 2\p@}
@@ -173,71 +200,28 @@
 \setlength\@dblfptop{0\p@ \@plus 1fil}
 \setlength\@dblfpsep{8\p@ \@plus 2fil}
 \setlength\@dblfpbot{0\p@ \@plus 1fil}
-%
 \setlength\partopsep{0\p@}
+%
 \setlength\lineskip{1\p@}
 \setlength\normallineskip{1\p@}%
 \renewcommand\baselinestretch{}%{}
 \setlength\parskip{0\p@}
-%
 \@lowpenalty   51
 \@medpenalty  151
 \@highpenalty 301
+\@beginparpenalty -\@lowpenalty
+\@endparpenalty   -\@lowpenalty
+\@itempenalty     -\@lowpenalty
 %
-\setcounter{topnumber}{3}
-\renewcommand\topfraction{.98}
-\setcounter{bottomnumber}{3}
-\renewcommand\bottomfraction{.98}
-\setcounter{totalnumber}{6}
-\renewcommand\textfraction{.01}
-\renewcommand\floatpagefraction{.98100}
-\setcounter{dbltopnumber}{2}
-\renewcommand\dbltopfraction{.981}
-\renewcommand\dblfloatpagefraction{.99}
-%
-\setlength\arraycolsep{1.5\p@}
-\setlength\tabcolsep{6\p@}
-\setlength\arrayrulewidth{.4\p@}
-\setlength\doublerulesep{2\p@}
-\setlength\tabbingsep{\labelsep}
-%\skip\@mpfootins = \skip\footins
-%
-\setlength\fboxsep{3\p@}
-\setlength\fboxrule{.4\p@}
-%
-\setlength\columnsep{10\p@}
-\setlength\columnseprule{0\p@}
-%
-%
-\DeclareMathSizes{28}{28}{25}{20}
-\DeclareMathSizes{24}{24}{21}{18}
-\DeclareMathSizes{22}{22}{19}{17}
-\DeclareMathSizes{20}{20}{17}{15}
-\DeclareMathSizes{18}{18}{15}{10}
-\DeclareMathSizes{12}{11}{8}{5}
-\DeclareMathSizes{11}{11}{8}{5}
-\DeclareMathSizes{10}{10}{7}{5}
-\DeclareMathSizes{9.5}{9}{7}{5}
-\DeclareMathSizes{9}{9}{7}{5}
-\DeclareMathSizes{8}{8}{6}{5}
-\DeclareMathSizes{7}{7}{5}{5}
-\DeclareMathSizes{6}{6}{5}{5}
-\DeclareMathSizes{5}{5}{5}{5}
-\def\bm#1{\mathchoice
-	{\mbox{\boldmath$#1$}}%
-          {\mbox{\boldmath$#1$}}%
-          {\mbox{\boldmath$\scriptstyle#1$}}%
-          {\mbox{\boldmath$\scriptscriptstyle#1$}}}%
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%% Article FM %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%Title %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-\def\title#1{\gdef\@title{{{#1}}}}
-\def\subtitle#1{\titlefont :~#1}
+\def\title#1{\gdef\@title{{#1}}}
 \newcommand\maketitle{\par
   \begingroup
    \renewcommand\thefootnote{\@fnsymbol\c@footnote}%
     \def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%
     \long\def\@makefntext##1{\noindent
+%	\@textsuperscript{\normalfont\@thefnmark}{\lowercase{##1}}}%
 	\@textsuperscript{\normalfont\@thefnmark}{##1}}%
       \newpage
       \global\@topnum\z@
@@ -260,7 +244,8 @@
   \vspace*{-10pt}
    \vspace*{-25pt}% to have the bylines on the beginning of the page
   \@clinebuf
-  \vspace*{52pt}
+%  \vspace*{52pt}
+  \vspace*{49pt}
   \begin{center}%
   \let\footnote \thanks
   {\titlefont\@title \par}%
@@ -268,9 +253,22 @@
   \@aabuffer\par
   \end{center}%
 }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End Title %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Local Definitions %%%%%%%%%%%%%%%%%%%%%%
+%
+
+\newcommand{\cal}{\protect\pcal}
+\newcommand{\pcal}{\@fontswitch{\relax}{\mathcal}}
+%
+\def\mtb{\fboxsep=0pt\fbox{\phantom{e}}}
+\def\breakhere{\par\vskip-\lastskip
+			\pagebreak}
+\def\forcebreak{\vadjust{\pagebreak}}
 %
 \def\thebepage{\thepage}
 \def\theeepage{\pageref{eof}}
+
 %
 \newenvironment{history}{%
 	\addvspace{-2pt plus-2pt minus-2pt}
@@ -279,32 +277,39 @@
    \end{center}
 	\addvspace{15pt plus2pt minus2pt}
 }
+%

-\def\email#1{\it #1\par}
-\def\http#1{\it http://#1\par}
-\def\url#1{\it #1\par}
 \def\received#1{Received~#1\par}
 \def\revised#1{Revised~#1\par}
 \def\accepted#1{Accepted~#1\par}
 \def\comby#1{\par\addvspace{1\baselineskip}Communicated\ by~#1\par}
+
+%
+\def\pub#1#2{\par%
+	\addvspace{-2pt plus-2pt minus-2pt}
+	{\centering{
+	\authorfont #1\par
+	#2\par}\par}
+	\addvspace{15pt plus2pt minus2pt}}%
 %
 \def\@clinebuf{}
 \def\catchline#1#2#3#4#5{\expandafter\def\expandafter\@clinebuf\expandafter
 	{\@clinebuf\catchlinefont
-	\noindent International Journal of Modern Physics E\par
-	%\noindent Vol.\ {#1}, \No\ {#2} (#3)\ \thebepage--\theeepage\par
+	\noindent International Journal of Modern Physics A\par
+	\noindent Vol. 21, Nos. 19 \& 20 (2006) 3857-3915 \par
 	\noindent \copyright\ World Scientific Publishing Company\par
-	\noindent\vskip-\baselineskip \hphantom{#4 \hskip2em #5}
 	}\relax\par
-	}
-%
+	}%
+
 \def\No{No.}
 %
+%\def\and{\hbox{\lowercase{ and }}}
+\def\and{\hbox{\lowercase{and }}}
+\def\aand{\\[10pt]{\upshape{and}}\\[-3pt]}
 \def\@aabuffer{}
 \def\author#1{\expandafter\def\expandafter\@aabuffer\expandafter
-	{\@aabuffer{\authorfont{{{#1}}}}\relax\par
+	{\@aabuffer{\authorfont{{#1}}}\relax\par
 	\vspace*{3pt}}}
-%
 \def\address#1{\expandafter\def\expandafter\@aabuffer\expandafter
 	{\@aabuffer{\affiliationfont{#1}}\relax\par
 	\vspace*{13pt}}}
@@ -314,12 +319,6 @@
 	{\authorfont{\leftskip18pt\rightskip\leftskip
 	\noindent{\it Keywords}\/:\ #1\par}}\par}
 %
-\def\ccode#1{\par
-	\vspace*{8pt}
-	{\authorfont{\leftskip18pt\rightskip\leftskip
-	\noindent #1\par}}\par}
-
-%
 \def\category#1#2{\par
 	\vspace*{8pt}
 	{\authorfont{\leftskip18pt\rightskip\leftskip
@@ -330,95 +329,46 @@
   	\noindent\leftskip18pt\rightskip18pt
 }{%
   \par}
+
 %
-\newenvironment{otherinfo}{%
-	\addvspace{-2pt plus-2pt minus-2pt}
-   \authorfont\begin{center}%\vskip-\lastskip
-}{%
-   \end{center}
-	\addvspace{15pt plus2pt minus2pt}
-}
-%
-\newenvironment{dedication}{%
-	\addvspace{-2pt plus-2pt minus-2pt}
-   \authorfont\begin{center}%\vskip-\lastskip
-}{%
-   \end{center}
-	\addvspace{15pt plus2pt minus2pt}
-}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%% Sectioning %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\setcounter{secnumdepth}{3}
-\newcounter {section}
-\newcounter {subsection}[section]
-\newcounter {subsubsection}[subsection]
-\newcounter {paragraph}[subsubsection]
-\newcounter {subparagraph}[paragraph]
-\renewcommand\thesection      {\arabic{section}}
-\renewcommand\thesubsection   {\thesection.\arabic{subsection}}
-\renewcommand\thesubsubsection{\thesubsection .\arabic{subsubsection}}
-\renewcommand\theparagraph    {\thesubsubsection.\arabic{paragraph}}
-\renewcommand\thesubparagraph {\theparagraph.\arabic{subparagraph}}
-%
-\newcommand\section{\@startsection{section}{1}{\z@}{-18pt \@plus-3pt minus-6pt}{5pt}{\sectionfont}}
-\newcommand\subsection{\@startsection{subsection}{2}{\z@}{-18pt \@plus-3pt minus-6pt}{5pt}{\subsectionfont}}
-\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}{-18pt \@plus-3pt minus-3pt}{5pt}{\subsubsectionfont}}
-\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}{12pt \@plus -3pt}{-.5em}{\paragraphfont}}
-\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}{3.25ex \@plus1ex}{-1em}{\subparagraphfont}}
-%
-\def\@seccntformat#1{{\upshape{\csname the#1\endcsname.}}\hskip .5em}
-%
-%\gdef\@author{}
+\def\ccode#1{\par
+	\vspace*{8pt}
+	{\authorfont{\leftskip18pt\rightskip\leftskip
+	\noindent #1\par}}\par}
+
 %
-%%%%%%%%%%%%%%%%%%%%%%%% Table of Contents %%%%%%%%%%%%%%%%%%%%%%%
+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout
+	{\string\citation{#2}}\fi
+\def\@citea{}\@cite{\@for\@citeb:=#2\do
+	{\@citea\def\@citea{,}\@ifundefined
+	{b@\@citeb}{{\bf ?}\@warning
+	{Citation `\@citeb' on page \thepage \space undefined}}
+	{\csname b@\@citeb\endcsname}}}{#1}}
+ \newif\if@cghi
+\def\cite{\@cghitrue\@ifnextchar [{\@tempswatrue
+	\@citex}{\@tempswafalse\@citex[]}}
+\def\citelow{\@cghifalse\@ifnextchar [{\@tempswatrue
+	\@citex}{\@tempswafalse\@citex[]}}
+\def\@cite#1#2{{$\null^{#1}$\if@tempswa\typeout
+	{WSPC warning: optional citation argument
+	ignored: `#2'} \fi}}
+\newcommand{\citeup}{\cite}
 %
-\newcommand\@pnumwidth{1.55em}
-\newcommand\@tocrmarg{2.55em}
-\newcommand\@dotsep{4.5}
-\setcounter{tocdepth}{3}
-\newcommand\tableofcontents{%
-    \section*{\contentsname
-        \@mkboth{%
-           \contentsname}{\contentsname}}%
-    \@starttoc{toc}%
-    }
-\newcommand\l@section[2]{%
-  \ifnum \c@tocdepth >\z@
-    \addpenalty\@secpenalty
-    \addvspace{1.0em \@plus\p@}%
-    \setlength\@tempdima{1.5em}%
-    \begingroup
-      \parindent \z@ \rightskip \@pnumwidth
-      \parfillskip -\@pnumwidth
-      \leavevmode \bfseries
-      \advance\leftskip\@tempdima
-      \hskip -\leftskip
-      #1\nobreak\hfil \nobreak\hbox to \@pnumwidth{\hss #2}\par
-    \endgroup
-  \fi}
-\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}}
-\newcommand\listoffigures{%
-    \section*{\listfigurename
-      \@mkboth{\listfigurename}%
-              {\listfigurename}}%
-    \@starttoc{lof}%
-    }
-\newcommand\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
-\newcommand\listoftables{%
-    \section*{\listtablename
-      \@mkboth{%
-          \listtablename}{\listtablename}}%
-    \@starttoc{lot}%
-    }
-\let\l@table\l@figure
+\def\@refcitex[#1]#2{\if@filesw\immediate\write\@auxout
+	{\string\citation{#2}}\fi
+\def\@citea{}\@refcite{\@for\@citeb:=#2\do
+	{\@citea\def\@citea{, }\@ifundefined
+	{b@\@citeb}{{\bf ?}\@warning
+	{Citation `\@citeb' on page \thepage \space undefined}}
+	\hbox{\csname b@\@citeb\endcsname}}}{#1}}
+ \def\@refcite#1#2{{#1\if@tempswa\typeout
+        {WSPC warning: optional citation argument
+	ignored: `#2'} \fi}}
+ \def\refcite{\@ifnextchar[{\@tempswatrue
+	\@refcitex}{\@tempswafalse\@refcitex[]}}
 %

-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Lists %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
+%
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Lists %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 \def\@listI{\leftmargin\leftmargini
@@ -549,98 +499,79 @@
 }{%
   \endlist}
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%% Poetry %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\newenvironment{verse}
-               {\let\\\@centercr
-                \list{}{\itemsep      \z@
-                        \itemindent   -1.5em%
-                        \listparindent\itemindent
-                        \rightmargin  \leftmargin
-                        \advance\leftmargin 1.5em}%
-                \item\relax}
-               {\endlist}
-\let\poetry\verse
-\let\endpoetry\endverse
-%
-%%%%%%%%%%%%%%%%%%%%%%%% Extract %%%%%%%%%%%%%%%%%%%%%%%
-%
-\newenvironment{quotation}
-               {\list{}{\listparindent 1.5em%
-                        \itemindent    \listparindent
-                        \rightmargin   \leftmargin
-                        \parsep        \z@ \@plus\p@}%
-                \item\relax}
-               {\endlist}
 \newenvironment{quote}
-               {\list{}{\rightmargin\leftmargin}%
-                \item\relax}
+               {\list{}{\rightmargin18pt\leftmargin18pt}%
+                \item[]}
                {\endlist}
 %
-\let\extract\quotation
-\let\endextract\endquotation
-%
-\def\source#1{\par\hspace*{\fill}{\it#1}\par}
-%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%% Sections %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Maths %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\setcounter{secnumdepth}{3}
+\newcounter {section}
+\newcounter {subsection}[section]
+\newcounter {subsubsection}[subsection]
+\newcounter {paragraph}[subsubsection]
+\newcounter {subparagraph}[paragraph]
+\renewcommand\thesection      {\arabic{section}}
+\renewcommand\thesubsection   {\thesection.\arabic{subsection}}
+\renewcommand\thesubsubsection{\thesubsection .\arabic{subsubsection}}
+\renewcommand\theparagraph    {\thesubsubsection.\arabic{paragraph}}
+\renewcommand\thesubparagraph {\theparagraph.\arabic{subparagraph}}
 %
-\renewcommand\theequation{\arabic{equation}}
+\newcommand\section{\@startsection{section}{1}{\z@}{-18pt \@plus-3pt minus-6pt}{5pt}{\sectionfont}}
+\newcommand\subsection{\@startsection{subsection}{2}{\z@}{-18pt \@plus-3pt minus-6pt}{5pt}{\subsectionfont}}
+\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}{-18pt \@plus-3pt minus-3pt}{5pt}{\subsubsectionfont}}
+\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}{12pt \@plus -3pt}{-.5em}{\paragraphfont}}
+\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}{3.25ex \@plus1ex}{-1em}{\subparagraphfont}}
 %
-\def\bstrut{\vrule width0pt depth5pt}
-\def\tstrut{\vrule width0pt height10pt}
-\jot=3pt
+\def\@seccntformat#1{{\upshape{\csname the#1\endcsname.}}\hskip .5em}
 %
+\gdef\@author{}
 %
-\renewcommand{\[}{\relax\ifmmode\@badmath\else\bgroup\let\eqnnum\relax\let\refstepeqcnt\relax\@equation\fi}
-\renewcommand{\]}{\relax\ifmmode\end@equation\egroup\@endparenv\@doendpe\else\@badmath\fi}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Floats %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-
-\AtBeginDocument{%
-\@namedef{equation*}{\let\eqnnum\relax\let\refstepeqncnt\relax\@equation}
-\@namedef{endequation*}{\end@equation}
-\renewenvironment{equation}{\@equation}{\end@equation}
-}
-
+\setcounter{topnumber}{3}
+\def\topfraction{.98}
+\setcounter{bottomnumber}{3}
+\def\bottomfraction{.98}
+\setcounter{totalnumber}{6}%4
+\def\textfraction{.01}
+\def\floatpagefraction{.98100}
+\setcounter{dbltopnumber}{2}
+\def\dbltopfraction{.981}
+\def\dblfloatpagefraction{.99}
 %
-\def\refstepeqcnt{\refstepcounter{equation}}
-\def\eqnnum{\displaywidth\linewidth\hbox{\@eqnnum}}
 %
-\def\@equation{\let\topsep\abovedisplayskip\@beginparpenalty\predisplaypenalty\@endparpenalty\postdisplaypenalty
-     \refstepeqcnt
-     \trivlist \item[]\leavevmode
-       \hbox to\linewidth\bgroup\hfill $\m@th% $
-       \displaystyle}%
-\def\end@equation{$\hfill\eqnnum\egroup\endtrivlist}
+\newlength\abovecaptionskip
+\newlength\belowcaptionskip
+\setlength\abovecaptionskip{6\p@}% plus3pt minus3pt}
+\setlength\belowcaptionskip{-1\p@}
 %
-\renewenvironment{eqnarray}{%
-   \stepcounter{equation}%
-   \def\@currentlabel{\p@equation\theequation}%
-   \global\@eqnswtrue
-   \m@th
-   \global\@eqcnt\z@
-   \tabskip\@centering
-   \let\\\@eqncr
-   $$\everycr{}\halign to\displaywidth\bgroup
-       \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
-      &\global\@eqcnt\@ne\hskip \tw@\arraycolsep \hfil${##}$\hfil
-      &\global\@eqcnt\tw@ \hskip \tw@\arraycolsep
-         $\displaystyle{##}$\hfil\tabskip\@centering
-      &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
-         \tabskip\z@skip
-      \cr}
-        {%
-      \@@eqncr
-      \egroup
-      \global\advance\c@equation\m@ne
-   $$\global\@ignoretrue
-}
+\def\FigName{figure}%
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Floats %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\InputIfFileExists{psfig.sty}{\typeout{^^Jpsfig.sty inputed...ok}}{\typeout{^^JWarning: psfig.sty could be be found.^^J}}
+\InputIfFileExists{epsfsafe.tex}{\typeout{^^Jepsfsafe.tex inputed...ok}}
+			{\typeout{^^JWarning: epsfsafe.tex could not be found.^^J}}
+\InputIfFileExists{epsfig.sty}{\typeout{^^Jepsfig.sty inputed...ok}}{\typeout{^^JWarning: epsfig.sty could not be found.^^J}}
+\InputIfFileExists{epsf.sty}{\typeout{^^Jepsf.sty inputed...ok}}{\typeout{^^JWarning: epsf.sty could not be found.^^J}}%
+%\InputIfFileExists{psfig.sty}{}{}
+%\InputIfFileExists{epsf.sty}{}{}
 %
-\def\FigName{figure}%
+\newbox\captionbox
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\long\def\@makecaption#1#2{%
+  \ifx\FigName\@captype
+    	\vskip\abovecaptionskip
+ 	\setbox\captionbox\hbox{%
+	{\figurecaptionfont#1.\unskip\ignorespaces\hskip1em#2\par}}
+	\ifdim\wd\captionbox>\hsize
+	{\figurecaptionfont#1.\unskip\ignorespaces\hskip1em#2\par}\par
+	\else
+	\centerline{\figurecaptionfont#1.\unskip\ignorespaces\hskip1em#2}\par
+	\fi\else\global\setbox\captionbox\hbox{%
+	{\tablecaptionfont#1.\ignorespaces\hskip1em#2\par}}
+	\fi
+}
 %
 \def\figurename{Fig.}
 \newcounter{figure}
@@ -656,14 +587,7 @@
                {\@dblfloat{figure}}
                {\end@dblfloat}
 %
-\InputIfFileExists{psfig.sty}{\typeout{^^Jpsfig.sty inputed...ok}}{\typeout{^^JWarning: psfig.sty could be be found.^^J}}
-\InputIfFileExists{epsfsafe.tex}{\typeout{^^Jepsfsafe.tex inputed...ok}}
-			{\typeout{^^JWarning: epsfsafe.tex could not be found.^^J}}
-\InputIfFileExists{epsfig.sty}{\typeout{^^Jepsfig.sty inputed...ok}}{\typeout{^^JWarning: epsfig.sty could not be found.^^J}}
-\InputIfFileExists{epsf.sty}{\typeout{^^Jepsf.sty inputed...ok}}{\typeout{^^JWarning: epsf.sty could not be found.^^J}}%
-%
 \def\ArtDir{\jobname/}
-%
 \def\figurebox#1#2#3{%
         \def\arg{#3}%
         \ifx\arg\empty
@@ -677,8 +601,6 @@
   {\hbox to \hsize{%
 	\hfill{\psfig{file=\ArtDir#1.eps,width=#2,angle=#3}}\hfill}\par}}%
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%% Tables %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
 \newcounter{table}
 \def\tablename{Table}
 \renewcommand\thetable{\@arabic\c@table}
@@ -693,39 +615,33 @@
                {\@dblfloat{table}}
                {\end@dblfloat}
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\def\tableformat#1{\centerline{#1}}
-\newdimen\tabledim
 \long\def\tbl#1#2{%
-\global\setbox\tempbox\hbox{\tablefont #2}%
- \global\tabledim\wd\tempbox
- \tableformat{\vbox{\hsize\tabledim
-                   \caption{#1}
-                   \box\tempbox}}%
-}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-%\long\def\ttbl#1#2#3{%
-%	\parindent\z@
-%	\noindent
-%  	\tablecaptionfont
-%	\caption{#2}%
-%	\tablewd\hsize
-%	\advance\tablewd-#1
-%  	\global\divide\tablewd\tw@
-%	\ifdim \wd\captionbox<#1
-%	\centerline{\unhbox\captionbox}
-%	\else
-%  	{\leftskip\tablewd% plus1fill{}
-%	\rightskip\tablewd% plus1fill{}
-%  	\unhbox\captionbox\par}
-%	\fi
-% 	\vskip-8pt
-%	\centerline{#3}
-%}%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+	\parindent\z@\ignorespaces\noindent\tablecaptionfont
+	\caption{#1}%
+  	\par\setbox\tempbox\hbox{\tablefont #2}%
+  	\tablewd\hsize\advance\tablewd-\wd\tempbox\global\divide\tablewd\tw@
+	\ifdim\wd\captionbox<\wd\tempbox\centerline{\unhbox\captionbox}
+	\else\leftskip\tablewd\rightskip\leftskip{\unhbox\captionbox}\par
+	\fi\vskip5pt\centerline{\box\tempbox}
+}%
+\long\def\ttbl#1#2#3{%
+	\parindent\z@
+	\noindent
+  	\tablecaptionfont
+	\caption{#2}%
+	\tablewd\hsize
+	\advance\tablewd-#1
+  	\global\divide\tablewd\tw@
+	\ifdim \wd\captionbox<#1
+	\centerline{\unhbox\captionbox}
+	\else
+  	{\leftskip\tablewd% plus1fill{}
+	\rightskip\tablewd% plus1fill{}
+  	\unhbox\captionbox\par}
+	\fi
+ 	\vskip-8pt
+	\centerline{#3}
+}%
 %
 \newenvironment{InTextTable}{%
  	\par\addvspace{16pt plus6pt minus6pt}%
@@ -735,76 +651,83 @@
    	\end{center}
 	\par\addvspace{17pt plus6pt minus6pt}}
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\def\tabnotehead{Note}
-\def\tabsourcehead{Source}
 \newenvironment{tabnote}{%
-   \par\addvspace{2pt}
-   \setbox\tempbox\vbox\bgroup\hsize\tabledim\parindent12pt
-   \tabnotefont
-   \@ifnextchar[{\@tabnote}{\@tabnote[\tabnotehead]}%
-}{%
-		\par\egroup
-   \tableformat{\box\tempbox}}
-%
-\def\@tabnote[#1]{\vskip6pt\noindent\def\@Tempa{#1}\ifx\@Tempa\@empty\hskip0pt\else{\it#1}:\hskip5pt\ignorespaces\fi}
-%
-%%
-\newenvironment{tabfootnote}{%
-   \par\addvspace{2pt}
-   \setbox\tempbox\vbox\bgroup\hsize\tabledim\parindent12pt
-   \tabnotefont
-}{%
-		\par\egroup
-   \tableformat{\box\tempbox}}
-%
-%%
-\def\tabmark#1{\noindent\hbox{\normalsize$\m@th^{#1}$}\ignorespaces}
-%
-\newenvironment{tabsource}{%
-   \let\tabnotehead\tabsourcehead
-   \begin{tabnote}
-}{%
-   \end{tabnote}
-}
+	\par\vskip5pt\footnotesize%
+	\@ifnextchar[{\@tabnote}{\@tabnote[Note]}}{%
+	\par\vskip-5pt}
+\def\@tabnote[#1]{%
+	\leftskip\tablewd\rightskip\leftskip {\it #1}\/:\ \ignorespaces}
 %
 \def\Hline{%
   \noalign{\ifnum0=`}\fi\hrule \@height 2\arrayrulewidth \futurelet
    \@tempa\@xhline}
-%
+
 \def\x{@{\extracolsep{\fill}}}
-\def\toprule{\Hline\\[-7.5pt]}
-\def\colrule{\\[-7.5pt]\hline\\[-7.5pt]}
+\def\toprule{\Hline\\[-6.5pt]}
+\def\colrule{\\[-7pt]\hline\\[-6pt]}
 \def\TMcolrule{\\[-9.5pt]\hline\\[-9.5pt]}
-\def\botrule{\\[-9pt]\Hline}
-\def\crule#1{\\[-10pt]#1\\[-6pt]}
+\def\botrule{\\[-7pt]\Hline}
+\def\crule#1{\\[-7pt]#1\\[-6pt]}
 %
-%%%%%%%%%%%%%%%%%%%%%%%% Caption %%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Maths %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-\newlength\abovecaptionskip
-\newlength\belowcaptionskip
-\setlength\abovecaptionskip{10\p@}
-%\setlength\belowcaptionskip{0\p@}
-\setlength\belowcaptionskip{4\p@}
-\long\def\@makecaption#1#2{%
-  \figurecaptionfont
-  \vskip\abovecaptionskip
-  \sbox\@tempboxa{#1. #2}%
-  \ifdim \wd\@tempboxa >\hsize
-    #1. #2\par
-  \else
-    \global \@minipagefalse
-    \hbox to \hsize{\hfil\box\@tempboxa\hfil}%
-  \fi
-  \vskip\belowcaptionskip}
+\setlength\arraycolsep{1.5\p@}
+\setlength\tabcolsep{6\p@}
+\setlength\arrayrulewidth{.4\p@}
+\setlength\doublerulesep{2\p@}
+\setlength\tabbingsep{\labelsep}
+\skip\@mpfootins = \skip\footins
+\setlength\fboxsep{3\p@}
+\setlength\fboxrule{.4\p@}
+\renewcommand\theequation{\arabic{equation}}
 %
+\setlength\columnsep{10\p@}
+\setlength\columnseprule{0\p@}
 %
+\def\bstrut{\vrule width0pt depth5pt}
+\def\tstrut{\vrule width0pt height10pt}
+\jot=3pt
+%
+
+\def\refstepeqcnt{\refstepcounter{equation}}
+\def\eqnnum{\displaywidth\linewidth\hbox{\@eqnnum}}
+%
+\def\@equation{\let\topsep\abovedisplayskip\@beginparpenalty\predisplaypenalty\@endparpenalty\postdisplaypenalty
+     \refstepeqcnt
+     \trivlist \item[]\leavevmode
+       \hbox to\linewidth\bgroup\hfill $\m@th% $
+       \displaystyle}%
+\def\end@equation{$\hfill\eqnnum\egroup\endtrivlist}
+%
+\renewenvironment{eqnarray}{%
+   \stepcounter{equation}%
+   \def\@currentlabel{\p@equation\theequation}%
+   \global\@eqnswtrue
+   \m@th
+   \global\@eqcnt\z@
+   \tabskip\@centering
+   \let\\\@eqncr
+   $$\everycr{}\halign to\displaywidth\bgroup
+       \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
+      &\global\@eqcnt\@ne\hskip \tw@\arraycolsep \hfil${##}$\hfil
+      &\global\@eqcnt\tw@ \hskip \tw@\arraycolsep
+         $\displaystyle{##}$\hfil\tabskip\@centering
+      &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
+         \tabskip\z@skip
+      \cr}
+        {%
+      \@@eqncr
+      \egroup
+      \global\advance\c@equation\m@ne
+   $$\global\@ignoretrue
+}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Footnote %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 \renewcommand\footnoterule{%
   \kern-3\p@
   \hrule depth0pt height0pt \@width.2\columnwidth
+%  \hrule width .4\columnwidth
   \kern2.6\p@}
 \newcommand\@makefntext[1]{%
     \parindent 1em%
@@ -825,10 +748,10 @@
 \def\ps@plain{%
      \let\@mkboth\@gobbletwo
      \let\@oddhead\@empty
-%    \def\@oddfoot{\hfill\mbox{\lower12pt\hbox{\foliofont\thepage}}\hfill}%
      \def\@oddfoot{\hfill\mbox{\hbox{\foliofont\thepage}}\hfill}%
      \let\@evenhead\@empty
      \let\@evenfoot\@oddfoot}
+
 %
 \def\RightMark{}
 %
@@ -857,119 +780,74 @@
 	\def\@oddfoot{\hfill\mbox{\lower8pc\hbox{}}\hfill}
    \let\@evenfoot\@oddfoot}
 %
-%%%%%%%%%%%%%%%%%%%%%%%% Theorem %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% theorem environments %%%%%%%%%%%%%%%%%%%%
 %
-\def\newtheorem#1{\@starthm{#1}\@ifnextchar[{\@othm{#1}}{\@nthm{#1}}}
-\def\@xthm#1#2{\@opargbegintheorem{#2}{\csname the#1\endcsname}{}\ignorespaces}
-\def\@nthm#1#2{\expandafter\gdef\csname #1name\endcsname{#2}%
-\expandafter\gdef\csname #2bodyfont\endcsname{\csname #1bodyfont\endcsname}%
-\@ifnextchar[{\@xnthm{#1}{#2}}{\@ynthm{#1}{#2}}}
-\def\@othm#1[#2]#3{\expandafter\gdef\csname #1name\endcsname{#3}%
-\expandafter\gdef\csname #3bodyfont\endcsname{\csname #1bodyfont\endcsname}%
-  \@ifundefined{c@#2}{\@nocounterr{#2}}%
-  {\expandafter\@ifdefinable\csname #1\endcsname
-  {\global\@namedef{the#1}{\@nameuse{the#2}}%
-		\global\@namedef{#1}{\@thm{#2}{#3}}%
-		\global\@namedef{end#1}{\@endtheorem}}}}
-\def\@opargbegintheorem#1#2#3{%
-   \par\addvspace{6.25pt plus2pt minus.25pt}%
-   \def\@tempa{#3}%
-   {\bfseries
-	\noindent#1 #2\ifx\@tempa\empty\unskip.\else\unskip.\hskip.5em{(#3)}\fi}\hskip1em
-	 \edef\@currentlabel{\csname p@#1\endcsname\csname the#1\endcsname}%
-   \csname #1bodyfont\endcsname\ignorespaces}
-\def\@endtheorem{\par\addvspace{6.25pt plus2pt minus.25pt}}
-\def\@starthm#1{\@namedef{#1*}{\@beginstarthm{#1}}%
-																\@namedef{end#1*}{\@endstarthm{#1}}}
-\def\@beginstarthm#1{\@ifnextchar[{\@opargbeginstarthm{#1}}{\@opargbeginstarthm{#1}[]}}
-\def\@opargbeginstarthm#1[#2]{\par\addvspace{6.25pt plus2pt minus.25pt}%
-			   \renewcommand\labelenumi{{\upshape(\theenumi)}}%
-			   \def\labelenumii{{\upshape(\theenumii)}}%
-						\def\@tempa{#2}%
-      \edef\@Tempa{\csname #1name\endcsname}%
-			   {\bfseries%\csname \@Tempa headfont\endcsname
-      \noindent
-      \ifx\@tempa\empty\@Tempa{}.\else#2.\fi}%
-      \hskip1em\csname \@Tempa bodyfont\endcsname\ignorespaces}
-\def\@endstarthm#1{\par\addvspace{6.25pt plus2pt minus.25pt}}
+\def\@xthm#1#2{\@begintheorem{#2}{\csname the#1\endcsname}{}\ignorespaces}
+\def\@ythm#1#2[#3]{\@begintheorem{}{\csname the#1\endcsname}{#3}\ignorespaces}
+%
+
+\let\Definitionfont\upshape%
+\let\Questionfont\upshape
+\let\Notationfont\upshape
+\let\Remarkfont\upshape
+\let\Examplefont\upshape
+\let\Stepfont\upshape
+\let\Propfont\upshape
+%
+\let\Theoremfont\itshape
+\let\Corollaryfont\itshape
+\let\Propositionfont\itshape
+\let\Lemmafont\itshape
+\let\Stepheadfont\itshape
+\let\Claimfont\itshape
+\let\Conjecturefont\itshape
+\let\Theoremheadfont\bfseries
+\let\Corollaryheadfont\bfseries
+\let\Propositionheadfont\bfseries
+\let\Lemmaheadfont\bfseries
+\let\Definitionheadfont\bfseries
+\let\Questionheadfont\bfseries
+\let\Notationheadfont\bfseries
+\def\Exampleheadfont{\bfseries}
+\def\Remarkheadfont{\bfseries}
+\def\Propheadfont{\bfseries}
+\def\Claimheadfont{\bfseries}
+\def\Conjectureheadfont{\bfseries}
+%
+
+\def\@begintheorem#1#2#3{\par\addvspace{8pt plus3pt minus2pt}%
+              \noindent{\csname#1headfont\endcsname#1\ \ignorespaces#3 #2.}%
+              \csname#1font\endcsname\hskip.5em\ignorespaces}
+\def\@endtheorem{\par\addvspace{8pt plus3pt minus2pt}\@endparenv}
+%
+
+\newtheorem{theorem}{Theorem}[section]
+\newtheorem{corollary}{Corollary}[section]
+\newtheorem{lemma}{Lemma}[section]
+\newtheorem{proposition}{Proposition}[section]
+\newtheorem{definition}{Definition}[section]
+\newtheorem{example}{Example}[section]
+\newtheorem{remark}{Remark}[section]
+\newtheorem{notation}{Notation}[section]
+\newtheorem{question}{Question}[section]
+\newtheorem{prop}{Prop}[section]
+\newtheorem{step}{Step}
+\newtheorem{claim}{Claim}[section]
+\newtheorem{conjecture}{Conjecture}[section]
 %
+
 \newif\iflogo
 \def\prbox{\hbox to \hsize{\hfill\fboxsep0pt\fbox{\phantom{\vrule width5pt height5pt depth0pt}}}\global\logofalse}
 %
-%
 \newenvironment{proof}{%
-	\par\addvspace{12pt plus3pt minus3pt}
-   \global\logotrue
-   \@ifnextchar[{\@proof}{\@proof[Proof]}%
-   }{%
+\par\addvspace{12pt plus3pt minus3pt}\global\logotrue%
+\noindent{\bf Proof.\hskip.5em}\ignorespaces}{%
 	\par\iflogo\vskip-\lastskip
 	\vskip-\baselineskip\prbox\par
 	\addvspace{12pt plus3pt minus3pt}\fi}
 %
-\def\@proof[#1]{\noindent{\normalfont\bfseries#1.}\hskip.5em\ignorespaces}
-%
-\newtheorem{theorem}{Theorem}%[section]
-\newcommand\theorembodyfont{\itshape}
-\newtheorem{lemma}{Lemma}%[section]
-\newcommand\lemmabodyfont{\itshape}
-\newtheorem{proposition}{Proposition}%[section]
-\newcommand\propositionbodyfont{\itshape}
-\newtheorem{corollary}{Corollary}%[section]
-\newcommand\corollarybodyfont{\itshape}
-\newtheorem{assertion}{Assertion}%[section]
-\newcommand\assertionbodyfont{\itshape}
-%
-\newtheorem{algorithm}{Algorithm}%[section]
-\newcommand\algorithmbodyfont{\upshape}
-\newtheorem{answer}{Answer}%[section]
-\newcommand\answerbodyfont{\upshape}
-\newtheorem{assumption}{Assumption}%[section]
-\newcommand\assumptionbodyfont{\upshape}
-\newtheorem{comment}{Comment}%[section]
-\newcommand\commentbodyfont{\upshape}
-\newtheorem{definition}{Definition}%[section]
-\newcommand\definitionbodyfont{\upshape}
-\newtheorem{example}{Example}%[section]
-\newcommand\examplebodyfont{\upshape}
-\newtheorem{remark}{Remark}%[section]
-\newcommand\remarkbodyfont{\upshape}
-\newtheorem{solution}{Solution}%[section]
-\newcommand\solutionbodyfont{\upshape}
-%
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Bibliography %%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout
-	{\string\citation{#2}}\fi
-\def\@citea{}\@cite{\@for\@citeb:=#2\do
-	{\@citea\def\@citea{,}\@ifundefined
-	{b@\@citeb}{{\bf ?}\@warning
-	{Citation `\@citeb' on page \thepage \space undefined}}
-	{\csname b@\@citeb\endcsname}}}{#1}}
- \newif\if@cghi
-\def\cite{\@cghitrue\@ifnextchar [{\@tempswatrue
-	\@citex}{\@tempswafalse\@citex[]}}
-\def\citelow{\@cghifalse\@ifnextchar [{\@tempswatrue
-	\@citex}{\@tempswafalse\@citex[]}}
-\def\@cite#1#2{{$\null^{#1}$\if@tempswa\typeout
-	{WSPC warning: optional citation argument
-	ignored: `#2'} \fi}}
-\newcommand{\citeup}{\cite}
-%
-\def\@refcitex[#1]#2{\if@filesw\immediate\write\@auxout
-	{\string\citation{#2}}\fi
-\def\@citea{}\@refcite{\@for\@citeb:=#2\do
-	{\@citea\def\@citea{, }\@ifundefined
-	{b@\@citeb}{{\bf ?}\@warning
-	{Citation `\@citeb' on page \thepage \space undefined}}
-	\hbox{\csname b@\@citeb\endcsname}}}{#1}}
- \def\@refcite#1#2{{#1\if@tempswa\typeout
-        {WSPC warning: optional citation argument
-	ignored: `#2'} \fi}}
- \def\refcite{\@ifnextchar[{\@tempswatrue
-	\@refcitex}{\@tempswafalse\@refcitex[]}}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
 \newdimen\bibindent
 \bibindent=2em
 \def\@biblabel#1{#1.}
@@ -993,7 +871,7 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Appendix %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 \newcounter{appendix}
-\newcommand\appendix{\par
+\newcommand\appendix{\par %\newpage
   	\refstepcounter{appendix}
 	\setcounter{section}{0}%
         \setcounter{lemma}{0}
@@ -1002,13 +880,13 @@
         \setcounter{corollary}{0}
 	\setcounter{equation}{0}
 	\@addtoreset{equation}{section}
-\renewcommand\thesection{\appendixname\ \Alph{section}}
-\renewcommand\thesubsection{\Alph{section}.\arabic{subsection}}%
-\renewcommand\theequation{\Alph{section}.\arabic{equation}}}%
+\renewcommand\thesection{\appendixname\ \Alph{section}}%
+\renewcommand\theequation{\Alph{section}.\arabic{equation}}
+}%
 %
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%For contents pages %%%%%%%%%%%%%%%%%%%%%%%%
 %
-\def\journalname{\uppercase{Group 1 Journals}}
+\def\journalname{\uppercase{International Journal of Modern Physics A}}
 \def\No{No.}
 \def\chead#1#2#3{\par
 \thispagestyle{empty}
@@ -1035,9 +913,13 @@
 	{\rightskip2pc plus1fil
 	\noindent\par}
 	{\noindent{\uppercase{#1}}\ignorespaces#2\leaderfill\hspace*{2pt}#3\par}}\par
+%
+%	\noindent{\uppercase{#1}}\par}
+%	\hbox to 30pc{\noindent\ignorespaces\hspace*{12pt}#2\leaderfill\hspace*{2pt}#3\par}}\par
 	\addvspace{8pt plus1pt minus1pt}\par
 	}
 %
+
 \def\ehead#1#2#3{\par
 	\addvspace{12pt plus1pt minus1pt}
 	{\foliofont\rightskip4pc plus1fil
@@ -1045,6 +927,7 @@
 	\vspace*{4pt}}\par}
 %
 \def\eehead#1#2#3{\par
+%	\addvspace{6pt plus1pt minus1pt}
 	\addvspace{12pt plus1pt minus1pt}
 	{\foliofont\rightskip4pc plus1fil
 	\noindent{\bf #1{#2}{#3}\par}
@@ -1052,163 +935,139 @@
 %
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Trim Marks %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-%\newcommand\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}
-%\newcount\minute
-%\newcount\hour
-%\def\currenttime{%
-	%\minute\time
-	%\hour\minute
-	%\divide\hour60
-	%\the\hour:\multiply\hour60\advance\minute-\hour\the\minute}
-%
-%
-%\def\draftnote{\today\quad\currenttime\quad WSPC/INSTRUCTION FILE\qquad\jobname}%
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-%\def\cropmarks{\nointerlineskip%
- %    \vbox to 0pt{\vskip-8.6pt
-	%\parindent0pt\hspace*{6pt}\draftnote
-     %\par\advance\trimheight by 2pc
-     %\vbox to \trimheight{\offinterlineskip\parindent0pt\vskip-2pc
-     %\hbox to \trimwidth{\raise2.6pc\hbox{\vrule height2pc width0.3pt}\raisebox{2pc}
-   %{\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill\raisebox{2pc}
-   %{\vrule width2pc height0.3pt}\hspace*{-2.6pc}\raise2.6pc\hbox{\vrule height2pc width0.3pt}}\vfill
-    % \hbox to \trimwidth{\lower1.2pc\hbox{\vrule height2pc width0.3pt}\raisebox{1.4pc}
-     %   {\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill
-    %\lower1.2pc\hbox{\vrule height2pc width0.3pt}\rlap{\hspace*{0.6pc}\raisebox{1.4pc}{\vrule width2pc height0.3pt}}}}}
-     %\vbox to 0pt{\offinterlineskip\parindent0pt\vskip\topmargin%\vskip1.3pt
-     %\tempdimen\normaltextheight
-     %\advance\tempdimen24pt
-     %\moveright\@themargin
-     %\vbox to \tempdimen{\hrule height\draftrule
-     %\vbox to 0pt{\vskip\headheight\vskip\headsep%\vskip3pt
-     %           \vrule height\draftrule width\textwidth}%
-     % \hbox to \textwidth{\vrule width\draftrule \hfill\vrule height\tempdimen width\draftrule}%
-      %     \hrule height\draftrule}}}%%
-%\def\xcropmarks{\nointerlineskip%
- %    \vbox to 0pt{\vskip-8.6pt
-	%\parindent0pt\hspace*{6pt}\draftnote
-     %\par\advance\trimheight by 2pc
-     %\vbox to \trimheight{\offinterlineskip\parindent0pt\vskip-2pc
-     %\hbox to \trimwidth{\raise2.6pc\hbox{\vrule height2pc width0.3pt}\raisebox{2pc}
-   %{\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill\raisebox{2pc}
-  % {\vrule width2pc height0.3pt}\hspace*{-2.6pc}\raise2.6pc\hbox{\vrule height2pc width0.3pt}}\vfill
-   %  \hbox to \trimwidth{\lower1.2pc\hbox{\vrule height2pc width0.3pt}\raisebox{1.4pc}
-    %    {\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill
-    %\lower1.2pc\hbox{\vrule height2pc width0.3pt}\rlap{\hspace*{0.6pc}\raisebox{1.4pc}{\vrule width2pc height0.3pt}}}}}
-     %\vbox to 0pt{\offinterlineskip\parindent0pt\vskip\topmargin%\vskip1.3pt
-     %\tempdimen\normaltextheight
-     %\advance\tempdimen27pt
-     %\moveright\@themargin
-     %\vbox to \tempdimen{\hrule height\draftrule
-     %\vbox to 0pt{\vskip\headheight\vskip\headsep%\vskip3pt
-      %          \vrule height\draftrule width\textwidth}%
-      %\hbox to \textwidth{\vrule width\draftrule \hfill\vrule height\tempdimen width\draftrule}%
-       %    \hrule height\draftrule}}}%%
+\def\draftnote{\today\quad\currenttime\quad WSPC/INSTRUCTION FILE\qquad\jobname}%
 %
-%\let\trimmarks\cropmarks
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ss %%%%%%%%%%%%%%%%%%%%%%%%%%%
+\def\cropmarks{\nointerlineskip%
+     \vbox to 0pt{\vskip-8.6pt
+	\parindent0pt\hspace*{6pt}\draftnote
+     \par\advance\trimheight by 2pc
+     \vbox to \trimheight{\offinterlineskip\parindent0pt\vskip-2pc
+     \hbox to \trimwidth{\raise2.6pc\hbox{\vrule height2pc width0.3pt}\raisebox{2pc}
+   {\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill\raisebox{2pc}
+   {\vrule width2pc height0.3pt}\hspace*{-2.6pc}\raise2.6pc\hbox{\vrule height2pc width0.3pt}}\vfill
+     \hbox to \trimwidth{\lower1.2pc\hbox{\vrule height2pc width0.3pt}\raisebox{1.4pc}
+        {\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill
+    \lower1.2pc\hbox{\vrule height2pc width0.3pt}\rlap{\hspace*{0.6pc}\raisebox{1.4pc}{\vrule width2pc height0.3pt}}}}}
+     \vbox to 0pt{\offinterlineskip\parindent0pt\vskip\topmargin%\vskip1.3pt
+     \tempdimen\normaltextheight
+     \advance\tempdimen24pt
+     \moveright\@themargin
+     \vbox to \tempdimen{\hrule height\draftrule
+     \vbox to 0pt{\vskip\headheight\vskip\headsep%\vskip3pt
+                \vrule height\draftrule width\textwidth}%
+      \hbox to \textwidth{\vrule width\draftrule \hfill\vrule height\tempdimen width\draftrule}%
+           \hrule height\draftrule}}}%%
+\def\xcropmarks{\nointerlineskip%
+     \vbox to 0pt{\vskip-8.6pt
+	\parindent0pt\hspace*{6pt}\draftnote
+     \par\advance\trimheight by 2pc
+     \vbox to \trimheight{\offinterlineskip\parindent0pt\vskip-2pc
+     \hbox to \trimwidth{\raise2.6pc\hbox{\vrule height2pc width0.3pt}\raisebox{2pc}
+   {\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill\raisebox{2pc}
+   {\vrule width2pc height0.3pt}\hspace*{-2.6pc}\raise2.6pc\hbox{\vrule height2pc width0.3pt}}\vfill
+     \hbox to \trimwidth{\lower1.2pc\hbox{\vrule height2pc width0.3pt}\raisebox{1.4pc}
+        {\hspace*{-2.6pc}\vrule width2pc height0.3pt}\hfill
+    \lower1.2pc\hbox{\vrule height2pc width0.3pt}\rlap{\hspace*{0.6pc}\raisebox{1.4pc}{\vrule width2pc height0.3pt}}}}}
+     \vbox to 0pt{\offinterlineskip\parindent0pt\vskip\topmargin%\vskip1.3pt
+     \tempdimen\normaltextheight
+     \advance\tempdimen27pt
+     \moveright\@themargin
+     \vbox to \tempdimen{\hrule height\draftrule
+     \vbox to 0pt{\vskip\headheight\vskip\headsep%\vskip3pt
+                \vrule height\draftrule width\textwidth}%
+      \hbox to \textwidth{\vrule width\draftrule \hfill\vrule height\tempdimen width\draftrule}%
+           \hrule height\draftrule}}}%%
+%
+\let\trimmarks\cropmarks
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ss %%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%
 %%%%%%%%%%%%%%%%%%%%%%%%%%%% Output Routine %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
-%\def\@outputpage{%
-%\begingroup           % the \endgroup is put in by \aftergroup
-%  \let \protect \noexpand
-%  \@resetactivechars
-%  \let\-\@dischyph
-%  \let\'\@acci\let\`\@accii\let\=\@acciii
-%  \let\\\@normalcr
-%  \let\par\@@par          %% 15 Sep 87
-%  \shipout \vbox{%
-%    \set@typeset@protect
-%    \aftergroup \endgroup
-%    \aftergroup \set@typeset@protect
+%
+\def\@outputpage{%
+\begingroup           % the \endgroup is put in by \aftergroup
+  \let \protect \noexpand
+  \@resetactivechars
+  \let\-\@dischyph
+  \let\'\@acci\let\`\@accii\let\=\@acciii
+  \let\\\@normalcr
+  \let\par\@@par          %% 15 Sep 87
+  \shipout \vbox{%
+    \set@typeset@protect
+    \aftergroup \endgroup
+    \aftergroup \set@typeset@protect
                                 % correct? or just restore by ending
                                 % the group?
-%  \if@specialpage
-%    \global\@specialpagefalse\@nameuse{ps@\@specialstyle}%
-%  \fi
-%  \if@twoside
-%    \ifodd\count\z@ \let\@thehead\@oddhead \let\@thefoot\@oddfoot
-%         \let\@themargin\oddsidemargin
-%    \else \let\@thehead\@evenhead
-%       \let\@thefoot\@evenfoot \let\@themargin\evensidemargin
-%    \fi
-%  \fi
-%  \reset@font
-%  \normalsize
-%  \baselineskip\z@skip \lineskip\z@skip \lineskiplimit\z@
- %   \@begindvi\trimmarks
-  %  \vskip \topmargin
-   % \moveright\@themargin \vbox {%
-%      \setbox\@tempboxa \vbox to\headheight{%
-%        \vfil
-%        \color@hbox
-%          \normalcolor
-%          \hb@xt@\textwidth {%
-%            \let \label \@gobble
-%            \let \index \@gobble
-%            \let \glossary \@gobble %% 21 Jun 91
-%            \@thehead
-%            }%
-%        \color@endbox
-%        }%                        %% 22 Feb 87
-%      \dp\@tempboxa \z@
-%      \box\@tempboxa
-%      \vskip \headsep
-%      \box\@outputbox
-%      \baselineskip \footskip
-%      \color@hbox
-%        \normalcolor
-%        \hb@xt@\textwidth{%
-%          \let \label \@gobble
-%          \let \index \@gobble      %% 22 Feb 87
-%          \let \glossary \@gobble   %% 21 Jun 91
-%          \@thefoot
-%          }%
-%      \color@endbox
-%      }%
-%    }%
-%\global \@colht \textheight
-%\stepcounter{page}%
-%\let\firstmark\botmark
-%}
-%
-%
-%%%%%%%%%%%%%%%%%%%%% Local Defs. %%%%%%%%%%%%%%%%%%%%%%
-%
-\def\mtb{\fboxsep=0pt\fbox{\phantom{e}}}
-\def\breakhere{\par\vskip-\lastskip
-			\pagebreak}
-\def\forcebreak{\vadjust{\pagebreak}}
-%
-\def\and{\hbox{\lowercase{and }}}
-\def\aand{\\[10pt]{\upshape{and}}\\[-3pt]}
+  \if@specialpage
+    \global\@specialpagefalse\@nameuse{ps@\@specialstyle}%
+  \fi
+  \if@twoside
+    \ifodd\count\z@ \let\@thehead\@oddhead \let\@thefoot\@oddfoot
+         \let\@themargin\oddsidemargin
+    \else \let\@thehead\@evenhead
+       \let\@thefoot\@evenfoot \let\@themargin\evensidemargin
+    \fi
+  \fi
+  \reset@font
+  \normalsize
+  \baselineskip\z@skip \lineskip\z@skip \lineskiplimit\z@
+    \@begindvi\trimmarks
+    \vskip \topmargin
+    \moveright\@themargin \vbox {%
+      \setbox\@tempboxa \vbox to\headheight{%
+        \vfil
+        \color@hbox
+          \normalcolor
+          \hb@xt@\textwidth {%
+            \let \label \@gobble
+            \let \index \@gobble
+            \let \glossary \@gobble %% 21 Jun 91
+            \@thehead
+            }%
+        \color@endbox
+        }%                        %% 22 Feb 87
+      \dp\@tempboxa \z@
+      \box\@tempboxa
+      \vskip \headsep
+      \box\@outputbox
+      \baselineskip \footskip
+      \color@hbox
+        \normalcolor
+        \hb@xt@\textwidth{%
+          \let \label \@gobble
+          \let \index \@gobble      %% 22 Feb 87
+          \let \glossary \@gobble   %% 21 Jun 91
+          \@thefoot
+          }%
+      \color@endbox
+      }%
+    }%
+\global \@colht \textheight
+\stepcounter{page}%
+\let\firstmark\botmark
+}
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-

 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Process Options %%%%%%%%%%%%%%%%%%%%%%%%
 %
+
 \pagestyle{headings}
 \pagenumbering{arabic}
 \onecolumn
 \frenchspacing
-\flushbottom
 \def\sloppy{\tolerance=100000\hfuzz=\maxdimen \vfuzz=\maxdimen}
 \sloppy
 \vbadness=12000
 \hbadness=12000
 \usepackage{amsfonts}
+\usepackage[figuresright]{rotating}
 \usepackage{amssymb}
 \usepackage{amsmath}
+\flushbottom
 \endinput
-%
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%End of file%%%%%%%%%%%%%%%%%%%%%%%%%%%%


+
+

 

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