%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% For support please email: ykoh@wspc.com.sg (or) rajesh@wspc.com.sg %% The content, structure, format and layout of this style file is the %% property of World Scientific Publishing Co. Pte. Ltd. %% Copyright 2006 by World Scientific Publishing Co. %% All rights are reserved. %% %% Proceedings Trim Size: 9in x 6in %% Text Area: 7.35in (include runningheads) x 4.5in %% Main Text is 10/13pt %% Last Modified: 7-7-05 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \NeedsTeXFormat{LaTeX2e} \ProvidesClass{ws-procs9x6}[1994/07/13 v1.2u Standard LaTeX document class] \@twosidetrue\@mparswitchtrue\@twocolumnfalse \newif\if@openright \@openrighttrue \newif\if@restonecol % \newif\if@draft % \newdimen\draftrule \draftrule=0pt % \DeclareOption{splissue}{\@splissuetrue} \DeclareOption{draft}{\@drafttrue\setlength\overfullrule{5pt}\draftrule0.01pt}% % \hoffset=0.1in \voffset=0.2in % \DeclareOption{final}{\setlength\overfullrule{0pt}} % \ExecuteOptions{a4paper,10pt,twoside,onecolumn,final} \ProcessOptions % \newcommand\appendixname{Appendix} \newcommand\abstractname{Abstract} \newcommand\bibname{References}% % \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} \def\rhfont{\footnotesize\itshape{}} \def\catchlinefont{\footnotesize} \def\titlefont{\fontsize{10}{13}\bfseries\boldmath\selectfont\centering{}} \def\authorfont{\footnotesize} \def\abstractfont{\footnotesize} \let\affiliationfont\rhfont \def\datefont{\footnotesize} \def\sectionfont{\bfseries\boldmath\rightskip2pc plus1fill{}} 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\pagenumbering{arabic} \setcounter{page}{1}} % \newenvironment{titlepages}{% \thispagestyle{plain} \renewcommand\thepage{\roman{page}} \par\ \par \vspace*{2in} \begin{flushleft} \large {\large Proceedings of the Conference\\ in honor of Professor Takayuki Oda on the occasion\\ of his 60th birthday}\\[29pt] {\bfseries Geometry and Analysis of Automorphic Forms\\ of Several Variables} \end{flushleft} \vfill \pagebreak\par \thispagestyle{plain} \ \par \vspace*{2.5in} {\begin{center}\large Publishers' page --- (Blank page)\end{center} }\par \vfill \pagebreak\par \thispagestyle{plain} \ \par \vspace*{2.5in} {\begin{center}\large {\large Proceedings of the Conference\\ in honor of Professor Takayuki Oda on the occasion\\ of his 60th birthday}\\[29pt] {\bfseries Geometry and Analysis of Automorphic Forms\\ of Several Variables} \\[29pt] {University of Tokyo, Japan 14-17 September 2009} \end{center} }\par \vfill \pagebreak \vspace*{2.5in} {\begin{center}\large For Copyright Page (prepared by 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\def\wstoc#1#2{\refstepcounter{ptitl} \addtocontents{toc} {\protect\contentsline{chapter} \protect{\noindent#1}{\thepage} } \ifx#2\@empty\else \addcontentsline{toc}{authors}{\noindent#2}\fi } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Local Definitions %%%%%%%%%%%%%%%%%%%%%% % \def\cdash{$^{\raisebox{-0.5pt}{\hbox{--}}}$} \def\mtb{\fboxsep=0pt\fbox{\phantom{e}}} \def\email#1{\it #1\par} \def\http#1{\it http://#1\par} \def\breakhere{\par\vskip-\lastskip \pagebreak} \def\forcebreak{\vadjust{\pagebreak}} % \newcommand{\cal}{\protect\pcal} \newcommand{\pcal}{\@fontswitch{\relax}{\mathcal}} % \def\author#1{\par {\centering{\authorfont#1}\par\vspace*{0.05in}} } \def\address#1{\par {\centering{\affiliationfont#1\par}}\par\vspace*{11pt} } % \newenvironment{abstract}{\par% \vspace*{6pt} \abstractfont \noindent\leftskip18pt\rightskip18pt }{% \par} % \def\keywords#1{\par \vspace*{8pt} {\authorfont{\leftskip18pt\rightskip\leftskip \noindent{\it Keywords}\/:\ #1\par}}\vskip-12pt} % \def\category#1#2{\par \vspace*{8pt} {\authorfont{\leftskip18pt\rightskip\leftskip \noindent{\it Categories}\/:\ #1:\ #2\par}}\par} % \newif\if@cghi \def\cite{\@cghitrue\@ifnextchar [{\@tempswatrue \@citex}{\@tempswafalse\@citex[]}} \def\citelow{\@cghifalse\@ifnextchar [{\@tempswatrue \@citex}{\@tempswafalse\@citex[]}} \def\@cite#1#2{{$^{#1}$\if@tempswa\typeout {WSPC warning: optional citation argument ignored: `#2'} \fi}} \newcommand{\citeup}{\cite} % \newcount\@tempcntc \def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do {\@ifundefined {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}% {\mbox{\bfseries ?}}\@warning {Citation `\@citeb' on page \thepage \space undefined}}% {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}% \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne \@citea\def\@citea{;\ }\hbox{\csname b@\@citeb\endcsname}% \else \advance\@tempcntb\@ne \ifnum\@tempcntb=\@tempcntc \else\advance\@tempcntb\m@ne\@citeo \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}} \def\@citeo{\ifnum\@tempcnta>\@tempcntb\else\@citea\def\@citea{,}% \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else \def\@citea{\mbox{--\/}}\fi \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi} \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[]}} %%%%%%%%%%%%%%%%%%%%%%%% Table of Contents %%%%%%%%%%%%%%%%%%%%%%% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Lists %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \def\@listI{\leftmargin\leftmargini \listparindent\itemindent \parsep \z@\labelsep.5em \topsep 6.5\p@ \@plus3\p@% \@minus2\p@ \itemsep0\p@} % \let\@listi\@listI \@listi % \def\@listii {\leftmargin\leftmarginii \labelwidth\leftmarginii \advance\labelwidth-\labelsep \topsep 3.5\p@ \@plus2\p@ \@minus\p@ \parsep \z@ \itemsep\z@} \def\@listiii{\leftmargin\leftmarginiii \labelwidth\leftmarginiii \advance\labelwidth-\labelsep \topsep 3.5\p@ \@plus\p@\@minus\p@ \parsep \z@ % \partopsep \p@ \@plus\z@ \@minus\p@ \itemsep0\p@}% \def\@listiv {\leftmargin\leftmarginiv \labelwidth\leftmarginiv \advance\labelwidth-\labelsep} \def\@listv {\leftmargin\leftmarginv \labelwidth\leftmarginv \advance\labelwidth-\labelsep} \def\@listvi {\leftmargin\leftmarginvi \labelwidth\leftmarginvi \advance\labelwidth-\labelsep} % \setlength\leftmargini{3pc} \setlength\leftmarginii{2.2em} \setlength\leftmarginiii{1.87em} \setlength\leftmarginiv{1.7em} \setlength\leftmarginv{1em} \setlength\leftmarginvi{1em} 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label\@enumctr\endcsname]}} % \def\@enumerate[#1]{\ifnum \@enumdepth >3 \@toodeep\else \advance\@enumdepth \@ne\edef\@enumctr{enum\romannumeral\the\@enumdepth}% \enummax{#1}\list {\csname label\@enumctr\endcsname}{\usecounter {\@enumctr}\def\makelabel##1{\hss\llap{##1}}}\fi} % \let\Item\item \newenvironment{enumeroman}{% \def\theenumi{\roman{enumi}}\def\theenumii{\alph{enumii}}% \def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}% \let\item\Item \begin{enumerate}% }{% \end{enumerate}} % \newenvironment{alphlist}{% \def\theenumi{\alph{enumi}}\def\theenumii{\alph{enumii}}% \def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}% \let\item\Item \begin{enumerate}% }{% \end{enumerate}} % \newenvironment{arabiclist}{% \def\theenumi{\arabic{enumi}}\def\theenumii{\alph{enumii}} \def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}% \let\item\Item \begin{enumerate} }{% \end{enumerate}} % \newenvironment{romanlist}{% \def\theenumi{\roman{enumi}}\def\theenumii{\alph{enumii}} \def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}% \let\item\Item \begin{enumerate} }{% \end{enumerate}} % \newenvironment{itemlist}{% \def\labelenumi{\labelitemi} \let\item\Item \begin{enumerate} }{% \end{enumerate}} % \newenvironment{description} {\list{}{\labelwidth\z@ \itemindent-\leftmargin \let\makelabel\descriptionlabel}} {\endlist} \newcommand*\descriptionlabel[1]{\hspace\labelsep \normalfont\bfseries #1} % \newenvironment{unnumlist}{% \let\item\Item \leftmargini2pc \ifnum \@enumdepth >3 \@toodeep\else \advance\@enumdepth \@ne \list{}{\itemindent-2pc\topsep6pt \def\makelabel##1{\hss\llap{##1}}}% \fi }{% \endlist} % \newenvironment{quote} {\list{}{\rightmargin18pt\leftmargin18pt}% \item[]} {\endlist} % %%%%%%%%%%%%%%%%%%%%%%%%%%%% Sections %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \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} % \def\body{ \setcounter{footnote}{0} 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{\hfill\vbox{\hsize#2\hrule\hbox to #2{% \vrule\hfill\vbox to #1{\hsize#2\vfill}\vrule}\hrule}\hfill}% \else \hbox to \hsize{\hfill\epsfbox{\ArtDir#3.eps}\hfill} \fi} % \def\PSFIG#1#2#3{\par {\hbox to \hsize{% \hfill{\psfig{file=\ArtDir#1.eps,width=#2,angle=#3}}\hfill}\par}}% % \newcounter{table} \def\tablename{Table} \renewcommand\thetable{\@arabic\c@table} \def\fps@table{htbp} \def\ftype@table{2} \def\ext@table{lot} \def\fnum@table{\tablename~\thetable} \newenvironment{table} {\@float{table}} {\end@float} \newenvironment{table*} {\@dblfloat{table}} {\end@dblfloat} % \long\def\tbl#1#2{% \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}% \begin{center} \tablecaptionfont\noindent\ignorespaces }{% \end{center} \par\addvspace{17pt plus6pt minus6pt}} % \newenvironment{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\\[-6.5pt]} \def\colrule{\\[-7pt]\hline\\[-6pt]} \def\TMcolrule{\\[-9.5pt]\hline\\[-9.5pt]} \def\botrule{\\[-7pt]\Hline} \def\crule#1{\\[-7pt]#1\\[-6pt]} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Maths %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \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% \noindent \@makefnmark#1} % \def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger \or \ddagger\ddagger \else\@ctrerr\fi}} % \def\thefootnote{\alph{footnote}} \def\@makefnmark{{$^{\rm \@thefnmark}$}} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Page Style %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \mark{{}{}} % \def\ps@plain{% \let\@mkboth\@gobbletwo \let\@oddfoot\@empty \let\@evenfoot\@empty \def\@evenhead{\rhfont{\upshape{\thepage}}\hfill}% \def\@oddhead{\hfill\rhfont{\upshape{\thepage}}}}% % \def\RightMark{} % \def\ps@headings{% \let\@oddfoot\@empty \let\@evenfoot\@empty \def\@evenhead{\rhfont{\upshape{\thepage}}\hskip1em\leftmark\hfill}% \def\@oddhead{\hfill\rhfont\rightmark\hskip1em{\upshape{\thepage}}}% \let\@mkboth\markboth \def\authormark##1{\markboth{##1}{\RightMark}}% \def\chaptermark##1{\gdef\RightMark{##1}\markright{##1}}}% %\def\sectionmark##1{\gdef\RightMark{##1}\markright{##1}}}% % \def\ps@myheadings{% \let\@oddfoot\@empty\let\@evenfoot\@empty \def\@evenhead{\rlap{\foliofont \thepage}\hfill{\rhfont\leftmark}\hfill}% \def\@oddhead{\hfill{\rhfont\rightmark}\hfill{\foliofont\thepage}}% \let\@mkboth\@gobbletwo \let\chaptermark\@gobble \let\sectionmark\@gobble} % \def\ps@pblind{% \let\@mkboth\@gobbletwo \def\@evenhead{}% \def\@oddhead{} \def\@oddfoot{\hfill\mbox{\lower8pc\hbox{}}\hfill} \let\@evenfoot\@oddfoot} % %%%%%%%%%%%%%%%%%%%%%%%%%%% Index Shortcuts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \def\aindx#1{\index{author}{#1}} %For Author index \def\sindx#1{\index{subject}{#1}} %For Subject index \def\gindx#1{\index{general}{#1}} %For General index % %%%%%%%%%%%%%%%%%%%%%%%% THEOREM ENVIRONMENTS %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \def\@xthm#1#2{\@begintheorem{#2}{\csname the#1\endcsname}{}\ignorespaces} \def\@ythm#1#2[#3]{\@opargbegintheorem{#2}{\csname the#1\endcsname}{#3}\ignorespaces} \def\@opargbegintheorem#1#2#3{\trivlist \item[\hskip \labelsep{\bfseries #1\ #2\ (#3).}]\itshape} % \let\Casefont\upshape% \let\Commentfont\upshape% \let\Conditionfont\upshape \let\Conventionfont\upshape \let\Criterionfont\upshape \let\Definitionfont\upshape% \let\Questionfont\upshape \let\Notationfont\upshape \let\Notefont\upshape \let\Remarkfont\upshape \let\Examplefont\upshape \let\Propfont\upshape \let\Observationfont\upshape \let\Solutionfont\upshape \let\Stepfont\upshape \let\Summaryfont\upshape \let\Algorithmfont\itshape \let\Answerfont\itshape \let\Assertionfont\itshape \let\Assumptionfont\itshape \let\Claimfont\itshape \let\Conjecturefont\itshape \let\Corollaryfont\itshape \let\Lemmafont\itshape \let\Theoremfont\itshape \let\Problemfont\itshape \let\Propositionfont\itshape % \let\Algorithmheadfont\bfseries \let\Answerheadfont\bfseries \let\Assertionheadfont\bfseries \let\Assumptionheadfont\bfseries \let\Caseheadfont\bfseries \let\Claimheadfont\bfseries \let\Commentheadfont\bfseries \let\Conditionheadfont\bfseries \let\Conjectureheadfont\bfseries \let\Conventionheadfont\bfseries \let\Corollaryheadfont\bfseries \let\Criterionheadfont\bfseries \let\Definitionheadfont\bfseries \let\Exampleheadfont\bfseries \let\Lemmaheadfont\bfseries \let\Notationheadfont\bfseries \let\Noteheadfont\bfseries \let\Observationheadfont\bfseries \let\Problemheadfont\bfseries \let\Propheadfont\bfseries \let\Propositionheadfont\bfseries \let\Questionheadfont\bfseries \let\Remarkheadfont\bfseries \let\Solutionheadfont\bfseries \let\Stepheadfont\bfseries \let\Summaryheadfont\bfseries \let\Theoremheadfont\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{algorithm}{Algorithm}[section] %\newtheorem{answer}{Answer}[section] \newtheorem{assertion}{Assertion}[section] \newtheorem{assumption}{Assumption}[section] %\newtheorem{case}{Case}[section] \newtheorem{claim}{Claim}[section] %\newtheorem{comment}{Comment}[section] \newtheorem{condition}{Condition}[section] \newtheorem{conjecture}{Conjecture}[section] \newtheorem{convention}{Convention}[section] \newtheorem{corollary}{Corollary}[section] \newtheorem{criterion}{Criterion}[section] \newtheorem{definition}{Definition}[section] \newtheorem{example}{Example}[section] \newtheorem{lemma}{Lemma}[section] \newtheorem{notation}{Notation}[section] %\newtheorem{note}{Note}[section] \newtheorem{observation}{Observation}[section] \newtheorem{problem}{Problem}[section] \newtheorem{prop}{Prop}[section] \newtheorem{proposition}{Proposition}[section] \newtheorem{question}{Question}[section] \newtheorem{remark}{Remark}[section] %\newtheorem{solution}{Solution}[section] %\newtheorem{step}{Step} %\newtheorem{summary}{Summary}[section] \newtheorem{theorem}{Theorem}[section] % \newenvironment{answer}[1][Answer]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newenvironment{case}[1][Case]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newenvironment{comment}[1][Comment]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newenvironment{note}[1][Note]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newenvironment{solution}[1][Solution]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newenvironment{step}[1][Step]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newenvironment{summary}[1][Summary]{\begin{trivlist} \item[\hskip \labelsep {\bfseries #1.}]}{\end{trivlist}} % \newif\iflogo \def\prbox{\par \vskip-\lastskip\vskip-\baselineskip\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\iflogo\vskip-\lastskip \vskip-\baselineskip\prbox\par \addvspace{12pt plus3pt minus3pt}\fi} % \def\@proof[#1]{\noindent{\normalfont\bfseries#1.}\hskip.5em\ignorespaces} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% CITATIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \newcommand{\eref}[1]{Eq.~(\ref{#1})} \newcommand{\sref}[1]{Sec.~\ref{#1}} \newcommand{\cref}[1]{Chap.~\ref{#1}} \newcommand{\fref}[1]{Fig.~\ref{#1}} \newcommand{\tref}[1]{Table~\ref{#1}} \newcommand{\Eref}[1]{Equation (\ref{#1})} \newcommand{\Sref}[1]{Section~\ref{#1}} \newcommand{\Cref}[1]{Chapter~\ref{#1}} \newcommand{\Fref}[1]{Figure~\ref{#1}} \newcommand{\Tref}[1]{Table~\ref{#1}} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Bibliography %%%%%%%%%%%%%%%%%%%%%%%%%%%% % \newdimen\bibindent \bibindent=2em \def\@biblabel#1{#1.} \newenvironment{thebibliography}[1] {\section*{\bibname}\bibfont% \list{\@biblabel{\arabic{enumiv}}}% {\settowidth\labelwidth{\@biblabel{#1}}% \leftmargin\labelwidth \labelsep6pt%.33em \advance\leftmargin\labelsep \itemsep0pt\parsep0pt \usecounter{enumiv}% \renewcommand\theenumiv{\arabic{enumiv}}}% \sloppy\clubpenalty4000\widowpenalty4000% \sfcode`\.=\@m} {\def\@noitemerr {\@latex@warning{Empty `thebibliography' environment}}% \endlist} \newcommand\newblock{} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Appendix %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \newcounter{appendixc} \newcounter{subappendixc}[appendixc] \newcounter{subsubappendixc}[subappendixc] \renewcommand{\theappendixc}{\Alph{appendixc}} \renewcommand{\thesubappendixc}{\Alph{appendixc}.\arabic{subappendixc}} \renewcommand{\thesubsubappendixc} {\Alph{appendixc}.\arabic{subappendixc}.\arabic{subsubappendixc}} \newcommand{\appendix}[1]{ \vspace{14pt} \refstepcounter{appendixc} \setcounter{figure}{0} \setcounter{table}{0} \setcounter{lemma}{0} \setcounter{theorem}{0} \setcounter{corollary}{0} \setcounter{definition}{0} \setcounter{equation}{0} \renewcommand{\thefigure}{\Alph{appendixc}\arabic{figure}} \renewcommand{\thetable}{\Alph{appendixc}\arabic{table}} \renewcommand{\theappendixc}{\Alph{appendixc}} \renewcommand{\thelemma}{\Alph{appendixc}.\arabic{lemma}} \renewcommand{\thetheorem}{\Alph{appendixc}.\arabic{theorem}} \renewcommand{\thedefinition}{\Alph{appendixc}.\arabic{definition}} \renewcommand{\thecorollary}{\Alph{appendixc}.\arabic{corollary}} \renewcommand{\theequation}{\Alph{appendixc}.\arabic{equation}} \noindent{\sectionfont\appendixname~\theappendixc.{~\boldmath~#1}} \par\vspace{5pt}\@afterheading} \newcommand{\subappendix}[1]{\vspace{14pt} \refstepcounter{subappendixc} \noindent{\sectionfont\appendixname~\thesubappendixc.~{~\bfseries\boldmath\itshape #1}} \par\vspace{8pt}\@afterheading} \newcommand{\subsubappendix}[1]{\vspace{14pt} \refstepcounter{subsubappendixc} \noindent{\appendixname~\thesubsubappendixc.~{~\subsubsectionfont #1}} \par\vspace{8pt}\@afterheading} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End Appendix %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \def\bib{B\kern-.05em{I}\kern-.025em{B}\kern-.08em} \def\btex{B\kern-.05em{I}\kern-.025em{B}\kern-.08em\TeX} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Trim Marks %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \def\draftnote{\hbox to \trimwidth{\scriptsize\sf\ \today \quad\currenttime\hfil WSPC - Proceedings Trim Size: 9in x 6in \quad\jobname\hfil}}% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Crop Mark %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \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}}}%% % \let\trimmarks\cropmarks %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Crop Marks %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %%%%%%%%%%%%%%%%%%%%%%%%%%%% 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 % 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 } % %%%%%%%%%%%%%%%%%%%%%%%%%%%%% Process Options %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \pagestyle{headings} \pagenumbering{arabic} \onecolumn \frenchspacing \flushbottom \def\sloppy{\tolerance=100000\hfuzz=\maxdimen \vfuzz=\maxdimen} \sloppy \vbadness=12000 \hbadness=12000 \usepackage{amsfonts,amssymb,amsmath} \usepackage[figuresright]{rotating} \usepackage{dcolumn,url} \usepackage{chapterbib} \usepackage[super,nospace]{cite} \let\refcite\citen \endinput % %%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of file %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % For technical support please email: rajesh@wspc.com.sg