% CUP Journal ACTA Numerica document style -- V0.96 Released 22 October 1991 % % Copyright (C) 1991 Cambridge University Press % % V 0.92 mods by Rod Mulvey, 9 April 1991, see %RM % V 0.93 mods by Sue Brooks, 19 May 1991, see %SFB % V 0.94 mods by Sue Brooks, 10 July 1991, see %SFB 0.94 % V 0.95 mods by Alison Woollatt, 18 October 1991, see %AJW % V 0.96 mods by Alison Woollatt, 22 October 1991, see %AJW % for LaTeX version 2.09 % % based on ARTICLE DOCUMENT STYLE by Leslie Lamport % \typeout{Document Style `ACTA journal style' v0.96 released 22 October 1991} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% BEGIN %% %% There are only 5 changes made to this file. Just search for BEGIN %% All changes are enclosed within the same comment declaration as this %% initial change. %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \NeedsTeXFormat{LaTeX2e}[1997/12/01] \ProvidesClass{acta_2024}[1998/06/30 v1.0 Acta] \DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} \DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} \DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} \DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} \DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} \DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} \DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} \DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal} \DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% END %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % Journals use two-sided printing. % \@twosidetrue \@mparswitchtrue \def\ds@draft{\overfullrule 5pt} % Causes overfull hboxes to be marked. % %AJW %GES7Feb01% \newif\ifAMSSWITCH \AMSSWITCHfalse %GES7Feb01% \def\ds@ams{\AMSSWITCHtrue} \@options % **************************************** % * FONTS * % **************************************** % \lineskip 1pt \normallineskip 1pt \def\baselinestretch{1} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% BEGIN %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \renewcommand{\normalsize}{\@setsize\normalsize{13pt}\xipt\@xipt %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% END %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \abovedisplayskip 6.5pt plus 1pt minus 1pt \belowdisplayskip \abovedisplayskip \abovedisplayshortskip 3pt plus 1pt \belowdisplayshortskip \abovedisplayskip \let\@listi\@listI} \def\small{\@setsize\small{12pt}\xpt\@xpt \abovedisplayskip 6pt plus 1pt minus 1pt \belowdisplayskip \abovedisplayskip \abovedisplayshortskip 3pt plus 1pt \belowdisplayshortskip \abovedisplayskip \def\@listi{\leftmargin\leftmargini \topsep 2pt plus 1pt minus 1pt \parsep \z@ \itemsep \parsep}} \def\footnotesize{\@setsize\footnotesize{11pt}\ixpt\@ixpt \abovedisplayskip 5.5pt plus 1pt minus 1pt \belowdisplayskip \abovedisplayskip \abovedisplayshortskip \z@ plus 1pt \belowdisplayshortskip \abovedisplayskip \def\@listi{\leftmargin\leftmargini \topsep 2pt plus 1pt minus 1pt \parsep \z@ \itemsep \parsep}} \def\indexsize{\@setsize\indexsize{9pt}\viiipt\@viiipt} \def\scriptsize{\@setsize\scriptsize{8pt}\viipt\@viipt} \def\tiny{\@setsize\tiny{6pt}\vpt\@vpt} \def\large{\@setsize\large{15pt}\xiipt\@xiipt} \def\Large{\@setsize\Large{18pt}\xivpt\@xivpt} \def\LARGE{\@setsize\LARGE{21pt}\xviipt\@xviipt} \def\huge{\@setsize\huge{25pt}\xxpt\@xxpt} \def\Huge{\@setsize\Huge{30pt}\xxvpt\@xxvpt} \normalsize % Choose the normalsize font. %AJW AMS fonts %GES7Feb01% \ifAMSSWITCH %GES7Feb01% \font\tenmsy=msbm10 %GES7Feb01% \else %GES7Feb01% \font\tenmsy=cmsy10 %GES7Feb01% \fi %GES7Feb01% \newfam\msyfam %GES7Feb01% \textfont\msyfam=\tenmsy %GES7Feb01% \def\hexnumber#1{\ifcase#1 0\or1\or2\or3\or4\or5\or6\or7\or8\or9\or %GES7Feb01% A\or B\or C\or D\or E\or F\fi } %GES7Feb01% \edef\msy{\hexnumber\msyfam} %GES7Feb01% \def\Bbb{\ifmmode\let\next\Bbb@\else %GES7Feb01% \def\next{\errmessage{Use \string\Bbb\space only in math mode}}\fi\next} %GES7Feb01% \def\Bbb@#1{{\Bbb@@{#1}}} %GES7Feb01% \def\Bbb@@#1{\fam\msyfam#1} % **************************************** % * PAGE LAYOUT * % **************************************** % % All margin dimensions measured from a point one inch from top and side % of page. % % SIDE MARGINS: \oddsidemargin 2pc % Left margin on odd-numbered pages. \evensidemargin 2pc % Left margin on even-numbered pages. \marginparwidth 2.0cm % Width of marginal notes. \marginparsep 10pt % Horizontal space between outer margin and % marginal note % VERTICAL SPACING: % Top of page: \topmargin 3pc % Nominal distance from top of page to top of % box containing running head. \headheight 13pt % Height of box containing running head. \headsep 13pt % Space between running head and text. \topskip = 13pt % '\baselineskip' for first line of page. % Bottom of page: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% BEGIN %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\footheight 13pt % Height of box containing running foot. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% END %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \footskip 26pt % Distance from baseline of box containing foot % to baseline of last line of text. % DIMENSION OF TEXT: % \textheight = 42\baselineskip \advance\textheight by \topskip % Height of text (including footnotes and figures, % excluding running head and foot). \textwidth 30pc % Width of text line. % For two-column mode: \columnsep 10pt % Space between columns \columnseprule 0pt % Width of rule between columns. % % FOOTNOTES: % \footnotesep 6.5pt % Height of strut placed at the beginning of every % footnote = height of normal \footnotesize strut, % so no extra space between footnotes. \skip\footins 13pt plus 13pt minus 1pt % Space between last line of text and % top of first footnote. % FOR FLOATS ON A TEXT PAGE: % \floatsep 13pt plus 6.5pt minus 1pt % Space between adjacent floats moved % to top or bottom of text page. \textfloatsep 13pt plus 6.5pt minus 3pt % Space between main text and floats % at top or bottom of page. \intextsep 13pt plus 6.5pt minus 2pt % Space between in-text figures and % text. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% BEGIN %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\@maxsep 13pt % The maximum of \floatsep, %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% END %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \textfloatsep and \intextsep (minus % the stretch and shrink). % TWO-COLUMN FLOATS IN TWO-COLUMN MODE: \dblfloatsep 13pt plus 6.5pt minus 2pt % Same as \floatsep for double-column % figures in two-column mode. \dbltextfloatsep 13pt plus 4.5pt minus 3pt % \textfloatsep for double-column % floats. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% BEGIN %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\@dblmaxsep 13pt % The maximum of \dblfloatsep and %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% BJCB hacks to construct valid .cls file %% END %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \dbltexfloatsep. % FOR FLOATS ON A SEPARATE FLOAT PAGE OR COLUMN: \@fptop 0pt plus 0fil % Stretch at top of float page/column. (Must be % 0pt plus ...) \@fpsep 13pt plus 0fil % Space between floats on float page/column. \@fpbot 0pt plus 3fil % Stretch at bottom of float page/column. (Must be % 0pt plus ... ) % DOUBLE-COLUMN FLOATS IN TWO-COLUMN MODE. \@dblfptop 0pt plus 0fil % Stretch at top of float page. (Must be 0pt plus ...) \@dblfpsep 13pt plus 0fil % Space between floats on float page. \@dblfpbot 0pt plus 3fil % Stretch at bottom of float page. (Must be % 0pt plus ... ) % MARGINAL NOTES: \marginparpush 5pt % Minimum vertical separation between two marginal % notes. % **************************************** % * PARAGRAPHING * % **************************************** % \parskip \z@ plus .1pt % Extra vertical space between paragraphs. \parindent 1em % Width of paragraph indentation. \partopsep 0pt plus 1pt % Extra vertical space, in addition to % % The following page-breaking penalties are defined % \@lowpenalty 51 % Produced by \nopagebreak[1] or \nolinebreak[1] \@medpenalty 151 % Produced by \nopagebreak[2] or \nolinebreak[2] \@highpenalty 301 % Produced by \nopagebreak[3] or \nolinebreak[3] % \@beginparpenalty -\@lowpenalty % Before a list or paragraph environment. \@endparpenalty -\@lowpenalty % After a list or paragraph environment. \@itempenalty -\@lowpenalty % Between list items. % \clubpenalty=0 % 'Club line' at bottom of page is OK. \widowpenalty=10000 % 'Widow line' at top of page is not good. % **************************************** % * PARTS * % **************************************** % \def\part{\par \addvspace{4ex} \@afterindentfalse \secdef\@part\@spart} \def\@part[#1]#2{\ifnum \c@secnumdepth >\m@ne \refstepcounter{part} %GES% \addcontentsline{toc}{part}{Part \thepart: #1} \addcontentsline{toc}{part}{PART \thepart: #1} %GES% 091117 \else \addcontentsline{toc}{part}{#1} \fi {\parindent 0pt \raggedright \ifnum \c@secnumdepth >\m@ne %GES% \large\rm PART \large\bf PART %GES% \ifcase\thepart \or ONE \or TWO \or THREE \or FOUR \or FIVE \or SIX \or SEVEN \or EIGHT \or NINE \or TEN \else \fi \par \nobreak \fi %GES% \LARGE \rm #2 \large \bf #2 %GES% 091117 \markboth{}{}\par } \nobreak \vskip 3ex \@afterheading } % Heading for \part* command \def\@spart#1{% {\parindent 0pt \raggedright \LARGE \rm #1\par} \nobreak \vskip 3ex \@afterheading } % **************************************** % * SECTIONS * % **************************************** % \def\section{\@startsection{section}{1}{\z@} {-11pt plus -6.5pt minus -3.25pt} {6.5pt plus 0pt minus 1pt} {\raggedright\large\bf}} \def\subsection{\@startsection{subsection}{2}{\z@} {-13pt plus -6.5pt minus -3.25pt} {6.5pt plus 0pt minus 1pt} {\raggedright\normalsize\it}} \def\subsubsection{\@startsection{subsubsection}{3}{\z@} {-13pt plus -6.5pt minus -3.25pt} {1pt plus 0pt minus 1pt} {\raggedright\normalsize\it}} \def\paragraph{\@startsection{paragraph}{4}{\z@} {6.5pt plus 3.25pt minus 1pt} {-0.5em} {\normalsize\it}} \def\subparagraph{\@startsection{subparagraph}{4}{\parindent} {6.5pt plus 3.25pt minus 1pt} {-0.5em} {\normalsize\rm}} % The value of the counter secnumdepth gives the depth of the % highest-level sectioning command that is to produce section numbers. % %AJW \setcounter{secnumdepth}{3} % % Changes to \@sect to achieve full points after numbers in section headings % \def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth \def\@svsec{} \else \refstepcounter{#1} \edef\@svsec{\csname the#1\endcsname.\hskip 0.5em}\fi \@tempskipa #5\relax \ifdim \@tempskipa>\z@ \begingroup #6\relax \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par} \endgroup \csname #1mark\endcsname{#7}% \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth \else \protect\numberline{\csname the#1\endcsname}\fi #7} \else \def\@svsechd{#6\hskip #3\@svsec #8\csname #1mark\endcsname {#7}\addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth \else \protect\numberline{\csname the#1\endcsname}\fi#7}} \fi \@xsect{#5}} % % APPENDIX % \def\appendix{\par \setcounter{section}{0} \setcounter{subsection}{0} \def\thesection{\Alph{section}}} % **************************************** % * SKIPS * % **************************************** % \newskip\@indentskip % General CUP indent \newskip\smallindent % para. indent \newskip\@footindent % footnote indent \newskip\@leftskip % for CUP float stuff \@indentskip=2pc \smallindent=1em \@footindent=\smallindent \@leftskip=1pc % **************************************** % * LISTS * % **************************************** % \leftmargini \@indentskip \leftmarginii 1.5pc \leftmarginiii 1.5pc \leftmarginiv 1.5pc \leftmarginv 1pc \leftmarginvi 1pc \leftmargin\leftmargini \labelsep 0.5em \labelwidth\leftmargini\advance\labelwidth-\labelsep % % label macros for Range-Left and Range-Right labels \def\makeRLlabel#1{\rlap{#1}\hss} \def\makeRRlabel#1{\hss\llap{#1}} % \def\@listI{\leftmargin\leftmargini \parsep \z@ plus 1pt minus 1pt \topsep 6.5pt plus 1pt minus 1pt \itemsep \z@ plus 1pt minus 1pt \let\makelabel\makeRLlabel} \let\@listi\@listI \@listi \def\@listii{\leftmargin\leftmarginii \labelwidth\leftmarginii\advance\labelwidth-\labelsep \topsep 6.5pt plus 1pt minus 1pt \parsep \z@ \itemsep \parsep \let\makelabel\makeRLlabel} \def\@listiii{\leftmargin\leftmarginiii \labelwidth\leftmarginiii\advance\labelwidth-\labelsep \topsep 6.5pt plus 1pt minus 1pt \parsep \z@ \partopsep \z@ \itemsep \parsep \let\makelabel\makeRRlabel} \def\@listiv{\leftmargin\leftmarginiv \labelwidth\leftmarginiv\advance\labelwidth-\labelsep \let\makelabel\makeRLlabel} \def\@listv{\leftmargin\leftmarginv \labelwidth\leftmarginv\advance\labelwidth-\labelsep \let\makelabel\makeRLlabel} \def\@listvi{\leftmargin\leftmarginvi \labelwidth\leftmarginvi\advance\labelwidth-\labelsep \let\makelabel\makeRLlabel} % % ENUMERATE %GES\def\enumerate{\ifnum \@enumdepth >3 \@toodeep %GES \else %GES \advance\@enumdepth \@ne %GES \edef\@enumctr{enum\romannumeral\the\@enumdepth}% %GES \list{\csname label\@enumctr\endcsname}% %GES {\usecounter{\@enumctr}\let\makelabel\makeRLlabel}% %GES \fi} \def\labelenumi{\theenumi} \def\theenumi{\arabic{enumi}} \def\labelenumii{(\theenumii)} \def\theenumii{\alph{enumii}} \def\p@enumii{\theenumi} \def\labelenumiii{\theenumiii} \def\theenumiii{\roman{enumiii}} \def\p@enumiii{\theenumi(\theenumii)} \def\labelenumiv{\theenumiv} \def\theenumiv{\Alph{enumiv}} \def\p@enumiv{\p@enumiii\theenumiii} % % ITEMIZE % %GES\def\itemize{\ifnum \@itemdepth >3 \@toodeep %GES \else %GES \advance\@itemdepth \@ne %GES \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}% %GES \list{\csname\@itemitem\endcsname}{\let\makelabel\makeRLlabel}% %GES \fi} \def\labelitemi{$\bullet$} \def\labelitemii{\bf --} \def\labelitemiii{$\ast$} \def\labelitemiv{$\cdot$} % % DESCRIPTION % \def\descriptionlabel#1{\hspace\labelsep \bf #1} \def\description{\list{}{\labelwidth\z@ \itemindent-\leftmargin \let\makelabel\descriptionlabel}} \let\enddescription\endlist % % Unlabelled run-in list %\def\unnumlabel#1{\rm #1} \def\unnum{\list{}{\labelwidth\z@ % \let\makelabel\unnumlabel \leftmargin \parindent \itemindent-\parindent }} \let\endunnum\endlist % % VERSE % \def\verse{\let\\=\@centercr \list{}{\itemsep\z@ \itemindent -\@indentskip \listparindent \itemindent \rightmargin\leftmargin \advance\leftmargin \@indentskip}\item[]} \let\endverse\endlist % % QUOTATION % \def\quotation{\list{}{\listparindent \smallindent \itemindent\listparindent \leftmargin\z@\rightmargin\leftmargin \parsep 0pt plus 1pt}\item[]\small} \let\endquotation=\endlist % % QUOTE -- same as quotation except no paragraph indentation, % \def\quote{\list{}{\leftmargin\z@\rightmargin\leftmargin}\item[]\small} \let\endquote=\endlist % % **************************************** % * TITLE AND ABSTRACT * % **************************************** % \def\maketitle{\par \begingroup \def\thefootnote{\fnsymbol{footnote}} \def\@makefnmark{\hbox to 0pt{$^{\@thefnmark}$\hss}} \newpage \global\@topnum\z@ \@maketitle \thispagestyle{titlepage} \@thanks \endgroup \setcounter{footnote}{0} \let\maketitle\relax \let\@maketitle\relax \gdef\@thanks{} % \gdef\@author{}\gdef\@title{} \let\thanks\relax} \def\and{\end{author@tabular}\vskip .25em\par \begin{author@tabular}[t]{@{}c@{}}} \def\@maketitle{% \vspace*{0\baselineskip} \noindent \raisebox{0pt}[0pt][0pt]{\begin{minipage}[t]{\textwidth}% \parindent 0pt \centering\sloppy {\LARGE \bf \@title \par} \vskip 15pt {\large \begin{author@tabular}[t]{@{}c@{}}\@author \end{author@tabular}\par} %RM \vskip 13pt %RM {\small\it (Received \@date)} \par\noindent \end{minipage}} \par\noindent \nobreak \vskip 10\baselineskip plus 0.5\baselineskip minus 0.25\baselineskip } \def\abstract{\list{}{\leftmargin 1pc\rightmargin 1pc \parsep 0pt plus 1pt}%\raggedright \item[]\small} \def\endabstract{\endlist\vspace{6.5pt}} % **************************************** % * PAGE STYLES * % **************************************** % \mark{{}{}} % Initializes TeX's marks \gdef\@author{\mbox{}} % SFB 0.93 \def\author{\@ifnextchar [{\@authortwo}{\@authorone}} \def\@authortwo[#1]#2{\gdef\@author{#2}\gdef\@shortauthor{#1}} \def\@authorone#1{\gdef\@author{#1}\gdef\@shortauthor{#1}} \def\shortauthor#1{\gdef\@shortauthor{#1}} \gdef\@shortauthor{\@author} \gdef\@title{\mbox{}} % SFB 0.93 \def\title{\@ifnextchar [{\@titletwo}{\@titleone}} \def\@titletwo[#1]#2{\gdef\@title{#2}\gdef\@shorttitle{#1}} \def\@titleone#1{\gdef\@title{#1}\gdef\@shorttitle{#1}} \def\shorttitle#1{\gdef\@shorttitle{#1}} \gdef\@shorttitle{\@title} \def\pagerange#1{\gdef\@pagerange{#1}} \gdef\@pagerange{001--} \def\journal#1{\gdef\@journal{#1}} \gdef\@journal{{\it Acta Numerica\/} \def\nextyear{\year}%% %%%%% the %% in line above ensure minimal space between title and year -- GES%% %\advance\nextyear by 1 %%%%%%%%comment out on Jan 1 -- GES%%%%%%% (\number\nextyear), { pp.}\ \@pagerange \hfill Printed in the United Kingdom} \def\doi#1{\def\@doi{#1}} %GES% \def\@doi{} %GES% \def\ps@headings{\let\@mkboth\markboth \def\@oddhead{\mbox{}\hfill \small\sc \@shorttitle \hfill \rm \thepage} \def\@oddfoot{} \def\@evenhead{\small\rm \thepage \hfill \sc \@shortauthor \hfill} \def\@evenfoot{} \def\sectionmark##1{\markboth{##1}{}} \def\subsectionmark##1{\markright{##1}} } % Definition of 'myheadings' page style. % \def\ps@myheadings{\let\@mkboth\@gobbletwo \def\@oddhead{\hfill \small\sc \rightmark \hfill \rm \thepage} \def\@oddfoot{} \def\@evenhead{\small\rm \thepage \hfil \sc \leftmark \hfill} \def\@evenfoot{} \def\sectionmark##1{} \def\subsectionmark##1{} } \def\ps@titlepage{\let\@mkboth\@gobbletwo \def\@oddhead{\vbox to 0pt{\vss\vbox{\footnotesize\@journal \hfill \vskip 2pt doi:10.1017/S09624929\@doi \hfill }}} %GES% \def\@oddfoot{\begin{minipage}{30pc}\footnotesize \copyright\ The Author(s), {\number\year}. Published by Cambridge University Press.\end{minipage}} \def\@evenhead{\footnotesize\@journal \hfill} \def\@evenfoot{} \def\sectionmark##1{} \def\subsectionmark##1{} } % **************************************** % * OTHER ENVIRONMENTS * % **************************************** % %%%%%%%%%%%%%%%%%%% GES 2 Oct 02 %%%%%%%%%%%%%%%%%%%%%%% \newcommand{\actabox}{{{\begin{picture}(10,8)% \put(1.5,0.5){\framebox(7,7){}}\end{picture}} }} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % THEOREM % \def\@begintheorem#1#2{\rm \trivlist \item[\hskip \labelsep{\bf #1\ #2.}\hspace*{0.5em}]} \def\@opargbegintheorem#1#2#3{\rm \trivlist \item[\hskip \labelsep{\bf #1\ #2 (#3).}\hspace*{0.5em}]} \def\@endtheorem{\endtrivlist} \def\proof{\rm \trivlist \item[\hskip \labelsep{\it Proof.\hspace*{0.5em}}]} %GES%\def\endproof{\hspace*{\fill}{$\Box$}\endtrivlist} \def\endproof{\hspace*{\fill}{$\actabox$}\endtrivlist} \@namedef{proof*}{\rm \trivlist \item[\hskip \labelsep{\it Proof.\hspace*{0.5em}}]} \@namedef{endproof*}{\endtrivlist} % TITLEPAGE % \def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn \else \newpage \fi \thispagestyle{empty}\c@page\z@} \def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi} % ARRAY AND TABULAR % \arraycolsep 5pt % Half the space between columns in an array environment. \tabcolsep 6pt % Half the space between columns in a tabular environment. \arrayrulewidth .5pt % Width of rules in array and tabular environment. \doublerulesep 1.5pt % Space between adjacent rules in array or tabular env. % TABBING % \tabbingsep \labelsep % Space used by the \' command. (See LaTeX manual.) % MINIPAGE % \skip\@mpfootins = \skip\footins % FRAMEBOX % \fboxsep = 3pt % Space left between box and text by \fbox and \framebox. \fboxrule = .5pt % Width of rules in box made by \fbox and \framebox. % **************************************** % * SECTIONS * % **************************************** % \newcounter{part} \newcounter {section} %[part] %GS% for section numbering linked to parts \newcounter {subsection}[section] \newcounter {subsubsection}[subsection] \newcounter {paragraph}[subsubsection] \newcounter {subparagraph}[paragraph] \def\thepart {\arabic{part}} \def\thesection {\arabic{section}} %GS%\def\thesection {\thepart.\arabic{section}} %GS% for section numbering linked to parts \def\thesubsection {\thesection.\arabic{subsection}} \def\thesubsubsection {\thesubsection.\arabic{subsubsection}} \def\theparagraph {\thesubsubsection.\arabic{paragraph}} \def\thesubparagraph {\theparagraph.\arabic{subparagraph}} % **************************************** % * TABLE OF CONTENTS, ETC. * % **************************************** % \def\@pnumwidth{1.55em} \def\@tocrmarg {2.55em} \def\@dotsep{4.5} \setcounter{tocdepth}{1} \def\@undottedtocline#1#2#3#4#5{\ifnum #1>\c@tocdepth \else \vskip \z@ plus .2pt {\hangindent #2\relax \rightskip \@tocrmarg \parfillskip -\rightskip \parindent #2\relax \@afterindenttrue \interlinepenalty\@M \leavevmode \@tempdima #3\relax #4\nobreak \hfill \nobreak \hbox to\@pnumwidth{\hfil\rm \ }\par}\fi} % TABLEOFCONTENTS % \def\tableofcontents{% \begin{center}\parbox{0.75\textwidth}{%AJW \@restonecolfalse \if@twocolumn\@restonecoltrue\onecolumn\fi \section*{CONTENTS} \@starttoc{toc} \if@restonecol\twocolumn\fi %GES% \par\vspace{13pt}}\end{center}} \par\vspace{0pt}}\end{center}} %GES% 091117 \def\l@part#1#2{\addpenalty{-\@highpenalty} %GES% \addvspace{2.25em plus 1pt} \addvspace{1.4em plus 1pt}%GES% 091117 \begingroup \parindent \z@ \rightskip \@pnumwidth \parfillskip -\@pnumwidth {\normalsize\rm \leavevmode % \hspace*{3pc} #1\hfil \hbox to\@pnumwidth{\hss \ }}\par \nobreak \global\@nobreaktrue \everypar{\global\@nobreakfalse\everypar{}}% \endgroup \addvspace{0.4em plus 1pt}%GES% 091117 } \def\l@section#1#2{\addpenalty{\@secpenalty} \@tempdima 1.5em %GS% \@tempdima 2em %GS% for section numbering linked to parts \begingroup \parindent \z@ \rightskip \@pnumwidth \parfillskip -\@pnumwidth \rm \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip #1\nobreak\hfil \nobreak\hbox to\@pnumwidth{\hss#2}\par %AJW \endgroup } \def\l@subsection{\@undottedtocline{2}{1.5em}{2.3em}} \def\l@subsubsection{\@undottedtocline{3}{3.8em}{3.2em}} \def\l@paragraph{\@undottedtocline{4}{7.0em}{4.1em}} \def\l@subparagraph{\@undottedtocline{5}{10em}{5em}} % LIST OF FIGURES % \def\listoffigures{\@restonecolfalse \if@twocolumn\@restonecoltrue\onecolumn\fi \section*{LIST OF FIGURES\@mkboth{List of Figures}{List of Figures}} \@starttoc{lof} \if@restonecol\twocolumn\fi } \def\l@figure{\@undottedtocline{1}{1.5em}{2.3em}} % LIST OF TABLES % \def\listoftables{\@restonecolfalse \if@twocolumn\@restonecoltrue\onecolumn\fi \section*{LIST OF TABLES\@mkboth{List of Tables}{List of Tables}} \@starttoc{lot} \if@restonecol\twocolumn\fi } \let\l@table\l@figure % **************************************** % * BIBLIOGRAPHY * % **************************************** % %%\newcommand\refname{References} %GS% %%\def\@biblabel#1{#1} \def\newblock{\hskip .11em plus .33em minus .07em} %GS% \def\thebibliography#1{\section*{REFERENCES} \addcontentsline{toc}{section}{References} \list{}{\labelwidth\z@ \leftmargin \@indentskip \itemindent-\leftmargin} \small \parindent\z@ \parskip\z@ plus .1pt\relax \def\newblock{\hskip .11em plus .33em minus .07em} \sloppy\clubpenalty4000\widowpenalty4000 \sfcode`\.=1000\relax} \let\endthebibliography=\endlist % **************************************** % * THE INDEX * % **************************************** % \newif\if@restonecol \def\theindex{\section*{INDEX} \addcontentsline{toc}{section}{Index} \footnotesize \parindent\z@ \parskip\z@ plus .1pt\relax \let\item\@idxitem} \def\@idxitem{\par\hangindent 1pc} \def\subitem {\par\hangindent 1pc \hspace*{1pc}} \def\subsubitem{\par\hangindent 1pc\hspace*{1pc}} \def\endtheindex{\if@restonecol\onecolumn\else\clearpage\fi} \def\indexspace{\par\vskip\baselineskip \relax} % **************************************** % * FOOTNOTES * % **************************************** % \def\footnoterule{\kern-3\p@ \hrule width .4\columnwidth height \z@ \kern 3\p@} \long\def\@makefntext#1{\@setpar{\@@par\@tempdima \hsize \advance\@tempdima-\@footindent \parshape \@ne \@footindent \@tempdima}\par \noindent \hbox to \z@{\hss$^{\@thefnmark}$\ }#1} % **************************************** % * FIGURES AND TABLES * % **************************************** % \setcounter{topnumber}{2} \def\topfraction{.9} \setcounter{bottomnumber}{1} \def\bottomfraction{.9} \setcounter{totalnumber}{3} \def\textfraction{.1} \def\floatpagefraction{.75} \setcounter{dbltopnumber}{2} \def\dbltopfraction{.9} \def\dblfloatpagefraction{.5} % \long\def\@makecaption#1#2{\vskip 6.5pt \ifwide@float %% \raggedright\sloppy #1. #2\par \justified\sloppy #1. #2\par \else %% \raggedright\sloppy #1. #2\par \justified\sloppy #1. #2\par \fi} % TABLE % \newcounter{table} \def\thetable{\thesection.\@arabic\c@table} %% \thesection. added by GES \def\fps@table{tbp} \def\ftype@table{1} \def\ext@table{lot} \def\fnum@table{Table \thetable} \def\table{\@float{table}} \let\endtable\end@float \@namedef{table*}{\@dblfloat{table}} \@namedef{endtable*}{\end@dblfloat} \def\fstyle@table{\small\rm} \def\fjust@table{\raggedright} \newcommand{\justified}{% \rightskip\z@skip% \leftskip\z@skip} \def\fcapjust@table{\justified\sloppy} \def\fcapsize@table{\small\rm} \def\fcapstyle@table{\small\rm} % % FIGURE % \newcounter{figure} \def\thefigure{\thesection.\@arabic\c@figure} %% \thesection. added by GES \def\fps@figure{tbp} \def\ftype@figure{2} \def\ext@figure{lof} \def\fnum@figure{Figure \thefigure} %GES% Feb02 \def\figure{\@float{figure}} \let\endfigure\end@float \@namedef{figure*}{\@dblfloat{figure}} \@namedef{endfigure*}{\end@dblfloat} \def\fstyle@figure{\small\rm} \def\fjust@figure{\centering} \def\fcapjust@figure{\justified\sloppy} \def\fcapsize@figure{\small\rm} \def\fcapstyle@figure{\small\rm} % % stuff for different style float captions % \newif\ifwide@float \wide@floatfalse %% commented 18 Nov 2020 \long\def\@caption#1[#2]#3{\addcontentsline{\csname ext@#1\endcsname}{#1}% {\protect\numberline{\csname the#1\endcsname}% {\ignorespaces #2}}\par \begingroup \ifwide@float\@parboxrestore\else\@myparboxrestore\fi \@makecaption{\csname fcapjust@#1\endcsname \csname fcapsize@#1\endcsname \csname fnum@#1\endcsname}% {\csname fcapstyle@#1\endcsname \ignorespaces #3}\par \endgroup } \def\@myarrayparboxrestore{\let\par\@@par \let\-\@dischyph \let\'\@acci \let\`\@accii \let\=\@acciii \parindent\z@ \everypar{}\linewidth\hsize \@totalleftmargin\z@ \leftskip\@leftskip \rightskip\@rightskip \parfillskip\@flushglue \lineskip\normallineskip \baselineskip\normalbaselineskip\sloppy } \def\@myparboxrestore{\@myarrayparboxrestore\let\\=\@normalcr} % % stuff for wide floats % \def\@dblfloat{\wide@floattrue\@float} \def\end@dblfloat{\if@twocolumn\egroup \ifnum\@floatpenalty <\z@ \@cons\@dbldeferlist\@currbox\fi \ifnum \@floatpenalty =-\@Mii \@esphack\fi\else\end@float\fi \wide@floatfalse } % **************************************** % * MISCELLANEOUS * % **************************************** % % DATE % \def\today{\number\day\ \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 \ \number\year} % % Equation numbering % SFB 0.94 \@addtoreset{equation}{section} \def\theequation{\thesection.\arabic{equation}} % % Miscellaneous notation definitions %AJW % \def\R#1{$(\ref{#1})$} % eqno inside math-style brackets \def\Re{\mbox{Re}\,} % superior style `real part' command \def\Im{\mbox{Im}\,} % superior style `imaginary part' command \def\D{\,{\rm d}} % roman `d' for use in math formulae \def\I{{\hspace{1pt}}{\rm i}} % roman `i' for use in math formulae; GES removed space \def\O#1{{\cal O}\!\left(#1\right)} % `oh' command, ie O(xx) \def\Frac#1#2{{\textstyle \frac{#1}{#2}}} % to produce a % textstyle-style fractions in \displaystyle \usepackage{amsmath} \usepackage{hyperref}% \usepackage[all]{hypcap} \hypersetup{ draft=false, dvips, colorlinks=true, linkcolor=blue, anchorcolor=blue, citecolor=blue, urlcolor=blue, filecolor=blue, bookmarksopenlevel=3, bookmarksopen=true, pdfborderstyle={/S/U/W 0}, pdfstartview={FitH 800}, breaklinks=true} \usepackage{breakurl} \urlstyle{tt} % **************************************** % * CUP specials * % **************************************** % %GES\renewcommand{\thefootnote}{\mbox{$\fnsymbol{footnote}$}} \def\hline{\noalign{\ifnum0=`}\fi \vskip 6pt \hrule \@height \arrayrulewidth \vskip 6pt \futurelet \@tempa\@xhline} \def\@xhline{\ifx\@tempa\hline \vskip -12pt \vskip \doublerulesep \fi \ifnum0=`{\fi}} \def\author@tabular{\def\@halignto{}\@authortable} \let\endauthor@tabular=\endtabular \def\author@tabularcr{{\ifnum0=`}\fi \@xtabularcr[-1pt]\small\it\ignorespaces} \def\@authortable{\leavevmode \hbox \bgroup $\let\@acol\@tabacol \let\@classz\@tabclassz \let\@classiv\@tabclassiv \let\\\author@tabularcr \@tabarray} % **************************************** % * INITIALIZATION * % **************************************** % % Default initializations \ps@headings % `headings' page style \pagenumbering{arabic} % Arabic page numbers \onecolumn % Switch to \onecolumn and disable \twocolumn. \let\onecolumn=\relax \def\twocolumn{\typeout{Two column mode not available with CUP styles.}} % \flushbottom