From: Raphael Couturier Date: Mon, 28 Mar 2011 15:12:56 +0000 (+0200) Subject: premiere version X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/loba-papers.git/commitdiff_plain/e3080a36717b6b9710daaec8c4d1e529b19c3176 premiere version --- diff --git a/supercomp11/supercomp11.tex b/supercomp11/supercomp11.tex new file mode 100644 index 0000000..7daaa52 --- /dev/null +++ b/supercomp11/supercomp11.tex @@ -0,0 +1,59 @@ + +\documentclass[smallextended]{svjour3} +\usepackage{graphicx} + +\begin{document} + +\title{Best effort strategy and virtual load for asynchronous iterative load balancing} + +\author{Raphaël Couturier \and + Arnaud Giersch \and + Abderrahmane Sider +} + +\institute{F. Author \at + first address \\ + Tel.: +123-45-678910\\ + Fax: +123-45-678910\\ + \email{fauthor@example.com} % \\ +% \emph{Present address:} of F. Author % if needed + \and + S. Author \at + second address +} + +\maketitle + + +\begin{abstract} + +Most of the time, asynchronous load balancing algorithms have extensively been +studied in a theoretical point of view. The Bertsekas' algorithm is certainly +the most well known algorithm for which the convergence proof is given. From a +practical point of view, when a node wants to balance a part of its load to some +of its neighbors, the strategy is not described. In this paper, we propose a +strategy called \texttt{best effort} which tries to balance the load of a node +to all its less loaded neighbors while ensuring that all the nodes concerned by +the load balancing phase have the same amount of load. Moreover, asynchronous +iterative algorithms in which an asynchronous load balancing algorithm is +implemented most of the time can dissociate messages concerning load transfers +and message concerning load information. In order to increase the converge of a +load balancing algorithm, we propose a simple heuristic called \texttt{virtual + load} which allows a node that receives an load information message to +integrate the load that it will receive latter in its load (virtually) and +consequently sends a (real) part of its load to some of its neighbors. In order +to validate our approaches, we have defined a simulator based on SimGrid which +allowed us to conduct many experiments. + + +\end{abstract} + + + + +qsdqsd + + + + +\end{document} diff --git a/supercomp11/svglov3.clo b/supercomp11/svglov3.clo new file mode 100644 index 0000000..77c71e7 --- /dev/null +++ b/supercomp11/svglov3.clo @@ -0,0 +1,113 @@ +% SVJour3 DOCUMENT CLASS OPTION SVGLOV3 -- for standardised journals +% +% This is an enhancement for the LaTeX +% SVJour3 document class for Springer journals +% +%% +%% +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +\ProvidesFile{svglov3.clo} + [2009/12/18 v3.2 + style option for standardised journals] +\typeout{SVJour Class option: svglov3.clo for standardised journals} +\def\validfor{svjour3} +\global\let\if@runhead\iftrue +\ExecuteOptions{final,10pt} +% No size changing allowed, hence a "copy" of size10.clo is included +\DeclareFontShape{OT1}{cmr}{m}{n}{ + <-6> cmr5 + <6-7> cmr6 + <7-8> cmr7 + <8-9> cmr8 + <9-10> cmr9 + <10-12> cmr10 + <12-17> cmr12 + <17-> cmr17 + }{} +% +\renewcommand\normalsize{% +\if@twocolumn + \@setfontsize\normalsize\@xpt{12.5pt}% +\else + \if@smallext + \@setfontsize\normalsize\@xpt\@xiipt + \else + \@setfontsize\normalsize{9.5pt}{11.5pt}% + \fi +\fi + \abovedisplayskip=3 mm plus6pt minus 4pt + \belowdisplayskip=3 mm plus6pt minus 4pt + \abovedisplayshortskip=0.0 mm plus6pt + \belowdisplayshortskip=2 mm plus4pt minus 4pt + \let\@listi\@listI} +\normalsize +\newcommand\small{% +\if@twocolumn + \@setfontsize\small{8.5pt}\@xpt +\else + \if@smallext + \@setfontsize\small\@viiipt{9.5pt}% + \else + \@setfontsize\small\@viiipt{9.25pt}% + \fi +\fi + \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@ + \abovedisplayshortskip \z@ \@plus2\p@ + \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@ + \def\@listi{\leftmargin\leftmargini + \parsep 0\p@ \@plus1\p@ \@minus\p@ + \topsep 4\p@ \@plus2\p@ \@minus4\p@ + \itemsep0\p@}% + \belowdisplayskip \abovedisplayskip +} +\let\footnotesize\small +\newcommand\scriptsize{\@setfontsize\scriptsize\@viipt\@viiipt} +\newcommand\tiny{\@setfontsize\tiny\@vpt\@vipt} +\if@twocolumn + \newcommand\large{\@setfontsize\large\@xiipt\@xivpt} + \newcommand\LARGE{\@setfontsize\LARGE{16pt}{18pt}} +\else + \newcommand\large{\@setfontsize\large\@xipt\@xiipt} + \newcommand\LARGE{\@setfontsize\LARGE{13pt}{15pt}} +\fi +\newcommand\Large{\@setfontsize\Large\@xivpt{16dd}} +\newcommand\huge{\@setfontsize\huge\@xxpt{25}} +\newcommand\Huge{\@setfontsize\Huge\@xxvpt{30}} +% +\def\runheadhook{\rlap{\smash{\lower6.5pt\hbox to\textwidth{\hrulefill}}}} +\if@twocolumn +\setlength{\textwidth}{17.4cm} +\setlength{\textheight}{234mm} +\AtEndOfClass{\setlength\columnsep{6mm}} +\else + \if@smallext + \setlength{\textwidth}{11.9cm} + \setlength{\textheight}{19.4cm} + \else + \setlength{\textwidth}{12.2cm} + \setlength{\textheight}{19.8cm} + \fi +\fi +% +\AtBeginDocument{% +\@ifundefined{@journalname} + {\typeout{Unknown journal: specify \string\journalname\string{% +\string} in preambel^^J}}{}} +% +\endinput +%% +%% End of file `svglov3.clo'. diff --git a/supercomp11/svjour3.cls b/supercomp11/svjour3.cls new file mode 100644 index 0000000..ae6cc67 --- /dev/null +++ b/supercomp11/svjour3.cls @@ -0,0 +1,1431 @@ +% SVJour3 DOCUMENT CLASS -- version 3.2 for LaTeX2e +% +% LaTeX document class for Springer journals +% +%% +%% +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +\NeedsTeXFormat{LaTeX2e}[1995/12/01] +\ProvidesClass{svjour3}[2007/05/08 v3.2 +^^JLaTeX document class for Springer journals] +\newcommand\@ptsize{} +\newif\if@restonecol +\newif\if@titlepage +\@titlepagefalse +\DeclareOption{a4paper} + {\setlength\paperheight {297mm}% + \setlength\paperwidth {210mm}} +\DeclareOption{10pt}{\renewcommand\@ptsize{0}} +\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue} +\DeclareOption{draft}{\setlength\overfullrule{5pt}} +\DeclareOption{final}{\setlength\overfullrule{0pt}} +\DeclareOption{fleqn}{\input{fleqn.clo}\AtBeginDocument{\mathindent\z@}% +\AtBeginDocument{\@ifpackageloaded{amsmath}{\@mathmargin\z@}{}}% +\PassOptionsToPackage{fleqn}{amsmath}} +%%% +\DeclareOption{onecolumn}{} +\DeclareOption{smallcondensed}{} +\DeclareOption{twocolumn}{\@twocolumntrue\ExecuteOptions{fleqn}} +\newif\if@smallext\@smallextfalse +\DeclareOption{smallextended}{\@smallexttrue} +\let\if@mathematic\iftrue +\let\if@numbook\iffalse +\DeclareOption{numbook}{\let\if@envcntsect\iftrue + \AtEndOfPackage{% + \renewcommand\thefigure{\thesection.\@arabic\c@figure}% + \renewcommand\thetable{\thesection.\@arabic\c@table}% + \renewcommand\theequation{\thesection.\@arabic\c@equation}% + \@addtoreset{figure}{section}% + \@addtoreset{table}{section}% + \@addtoreset{equation}{section}% + }% +} +\DeclareOption{openbib}{% + \AtEndOfPackage{% + \renewcommand\@openbib@code{% + \advance\leftmargin\bibindent + \itemindent -\bibindent + \listparindent \itemindent + \parsep \z@ + }% + \renewcommand\newblock{\par}}% +} +\DeclareOption{natbib}{% +\AtEndOfClass{\RequirePackage{natbib}% +% Changing some parameters of NATBIB +\setlength{\bibhang}{\parindent}% +%\setlength{\bibsep}{0mm}% +\let\bibfont=\small +\def\@biblabel#1{#1.}% +\newcommand{\etal}{et al.}% +\bibpunct{(}{)}{;}{a}{}{,}}} +% +\let\if@runhead\iffalse +\DeclareOption{runningheads}{\let\if@runhead\iftrue} +\let\if@smartrunh\iffalse +\DeclareOption{smartrunhead}{\let\if@smartrunh\iftrue} +\DeclareOption{nosmartrunhead}{\let\if@smartrunh\iffalse} +\let\if@envcntreset\iffalse +\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue} +\let\if@envcntsame\iffalse +\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue} +\let\if@envcntsect\iffalse +\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue} +\let\if@referee\iffalse +\DeclareOption{referee}{\let\if@referee\iftrue} +\def\makereferee{\def\baselinestretch{2}} +\let\if@instindent\iffalse +\DeclareOption{instindent}{\let\if@instindent\iftrue} +\let\if@smartand\iffalse +\DeclareOption{smartand}{\let\if@smartand\iftrue} +\let\if@spthms\iftrue +\DeclareOption{nospthms}{\let\if@spthms\iffalse} +% +% language and babel dependencies +\DeclareOption{deutsch}{\def\switcht@@therlang{\switcht@deutsch}% +\gdef\svlanginfo{\typeout{Man spricht deutsch.}\global\let\svlanginfo\relax}} +\DeclareOption{francais}{\def\switcht@@therlang{\switcht@francais}% +\gdef\svlanginfo{\typeout{On parle francais.}\global\let\svlanginfo\relax}} +\let\switcht@@therlang\relax +\let\svlanginfo\relax +% +\AtBeginDocument{\@ifpackageloaded{babel}{% +\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}% +\@ifundefined{extrasUKenglish}{}{\addto\extrasUKenglish{\switcht@albion}}% +\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}% +\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}% +\@ifundefined{extrasngerman}{}{\addto\extrasngerman{\switcht@deutsch}}% +}{\switcht@@therlang}% +} +% +\def\ClassInfoNoLine#1#2{% + \ClassInfo{#1}{#2\@gobble}% +} +\let\journalopt\@empty +\DeclareOption*{% +\InputIfFileExists{sv\CurrentOption.clo}{% +\global\let\journalopt\CurrentOption}{% +\ClassWarning{Springer-SVJour3}{Specified option or subpackage +"\CurrentOption" not found -}\OptionNotUsed}} +\ExecuteOptions{a4paper,twoside,10pt,instindent} +\ProcessOptions +% +\ifx\journalopt\@empty\relax +\ClassInfoNoLine{Springer-SVJour3}{extra/valid Springer sub-package (-> *.clo) +\MessageBreak not found in option list of \string\documentclass +\MessageBreak - autoactivating "global" style}{} +\input{svglov3.clo} +\else +\@ifundefined{validfor}{% +\ClassError{Springer-SVJour3}{Possible option clash for sub-package +\MessageBreak "sv\journalopt.clo" - option file not valid +\MessageBreak for this class}{Perhaps you used an option of the old +Springer class SVJour!} +}{} +\fi +% +\if@smartrunh\AtEndDocument{\islastpageeven\getlastpagenumber}\fi +% +\newcommand{\twocoltest}[2]{\if@twocolumn\def\@gtempa{#2}\else\def\@gtempa{#1}\fi +\@gtempa\makeatother} +\newcommand{\columncase}{\makeatletter\twocoltest} +% +\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00} +\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01} +\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02} +\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03} +\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04} +\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05} +\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06} +\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07} +\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08} +\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09} +\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A} +% +\setlength\parindent{15\p@} +\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@} +\setlength\headheight{12\p@} +\setlength\headsep {14.50dd} +\setlength\topskip {10\p@} +\setlength\footskip{30\p@} +\setlength\maxdepth{.5\topskip} +% +\@settopoint\textwidth +\setlength\marginparsep {10\p@} +\setlength\marginparpush{5\p@} +\setlength\topmargin{-10pt} +\if@twocolumn + \setlength\oddsidemargin {-30\p@} + \setlength\evensidemargin{-30\p@} +\else + \setlength\oddsidemargin {\z@} + \setlength\evensidemargin{\z@} +\fi +\setlength\marginparwidth {48\p@} +\setlength\footnotesep{8\p@} +\setlength{\skip\footins}{9\p@ \@plus 4\p@ \@minus 2\p@} +\setlength\floatsep {12\p@ \@plus 2\p@ \@minus 2\p@} +\setlength\textfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} +\setlength\intextsep {20\p@ \@plus 2\p@ \@minus 2\p@} +\setlength\dblfloatsep {12\p@ \@plus 2\p@ \@minus 2\p@} +\setlength\dbltextfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} +\setlength\@fptop{0\p@} +\setlength\@fpsep{12\p@ \@plus 2\p@ \@minus 2\p@} +\setlength\@fpbot{0\p@ \@plus 1fil} +\setlength\@dblfptop{0\p@} +\setlength\@dblfpsep{12\p@ \@plus 2\p@ \@minus 2\p@} +\setlength\@dblfpbot{0\p@ \@plus 1fil} +\setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@} +\def\@listi{\leftmargin\leftmargini + \parsep \z@ + \topsep 6\p@ \@plus2\p@ \@minus4\p@ + \itemsep\parsep} +\let\@listI\@listi +\@listi +\def\@listii {\leftmargin\leftmarginii + \labelwidth\leftmarginii + \advance\labelwidth-\labelsep + \topsep \z@ + \parsep \topsep + \itemsep \parsep} +\def\@listiii{\leftmargin\leftmarginiii + \labelwidth\leftmarginiii + \advance\labelwidth-\labelsep + \topsep \z@ + \parsep \topsep + \itemsep \parsep} +\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\lineskip{1\p@} +\setlength\normallineskip{1\p@} +\renewcommand\baselinestretch{} +\setlength\parskip{0\p@ \@plus \p@} +\@lowpenalty 51 +\@medpenalty 151 +\@highpenalty 301 +\setcounter{topnumber}{4} +\renewcommand\topfraction{.9} +\setcounter{bottomnumber}{2} +\renewcommand\bottomfraction{.7} +\setcounter{totalnumber}{6} +\renewcommand\textfraction{.1} +\renewcommand\floatpagefraction{.85} +\setcounter{dbltopnumber}{3} +\renewcommand\dbltopfraction{.85} +\renewcommand\dblfloatpagefraction{.85} +\def\ps@headings{% + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\small\csname runheadhook\endcsname + \rlap{\thepage}\hfil\leftmark\unskip}% + \def\@oddhead{\small\csname runheadhook\endcsname + \ignorespaces\rightmark\hfil\llap{\thepage}}% + \let\@mkboth\@gobbletwo + \let\sectionmark\@gobble + \let\subsectionmark\@gobble + } +% make indentations changeable +\def\setitemindent#1{\settowidth{\labelwidth}{#1}% + \leftmargini\labelwidth + \advance\leftmargini\labelsep + \def\@listi{\leftmargin\leftmargini + \labelwidth\leftmargini\advance\labelwidth by -\labelsep + \parsep=\parskip + \topsep=\medskipamount + \itemsep=\parskip \advance\itemsep by -\parsep}} +\def\setitemitemindent#1{\settowidth{\labelwidth}{#1}% + \leftmarginii\labelwidth + \advance\leftmarginii\labelsep +\def\@listii{\leftmargin\leftmarginii + \labelwidth\leftmarginii\advance\labelwidth by -\labelsep + \parsep=\parskip + \topsep=\z@ + \itemsep=\parskip \advance\itemsep by -\parsep}} +% labels of description +\def\descriptionlabel#1{\hspace\labelsep #1\hfil} +% adjusted environment "description" +% if an optional parameter (at the first two levels of lists) +% is present, its width is considered to be the widest mark +% throughout the current list. +\def\description{\@ifnextchar[{\@describe}{\list{}{\labelwidth\z@ + \itemindent-\leftmargin \let\makelabel\descriptionlabel}}} +\let\enddescription\endlist +% +\def\describelabel#1{#1\hfil} +\def\@describe[#1]{\relax\ifnum\@listdepth=0 +\setitemindent{#1}\else\ifnum\@listdepth=1 +\setitemitemindent{#1}\fi\fi +\list{--}{\let\makelabel\describelabel}} +% +\newdimen\logodepth +\logodepth=1.2cm +\newdimen\headerboxheight +\headerboxheight=163pt % 18 10.5dd-lines - 2\baselineskip +\if@twocolumn\else\advance\headerboxheight by-14.5mm\fi +\newdimen\betweenumberspace % dimension for space between +\betweenumberspace=3.33pt % number and text of titles. +\newdimen\aftertext % dimension for space after +\aftertext=5pt % text of title. +\newdimen\headlineindent % dimension for space between +\headlineindent=1.166cm % number and text of headings. +\if@mathematic + \def\runinend{} % \enspace} + \def\floatcounterend{\enspace} + \def\sectcounterend{} +\else + \def\runinend{.} + \def\floatcounterend{.\ } + \def\sectcounterend{.} +\fi +\def\email#1{\emailname: #1} +\def\keywords#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm +\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ +}\noindent\keywordname\enspace\ignorespaces#1\par}} +% +\def\subclassname{{\bfseries Mathematics Subject Classification +(2000)}\enspace} +\def\subclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm +\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ +}\noindent\subclassname\ignorespaces#1\par}} +% +\def\PACSname{\textbf{PACS}\enspace} +\def\PACS#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm +\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ +}\noindent\PACSname\ignorespaces#1\par}} +% +\def\CRclassname{{\bfseries CR Subject Classification}\enspace} +\def\CRclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm +\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ +}\noindent\CRclassname\ignorespaces#1\par}} +% +\def\ESMname{\textbf{Electronic Supplementary Material}\enspace} +\def\ESM#1{\par\addvspace\medskipamount +\noindent\ESMname\ignorespaces#1\par} +% +\newcounter{inst} +\newcounter{auth} +\def\authdepth{2} +\newdimen\instindent +\newbox\authrun +\newtoks\authorrunning +\newbox\titrun +\newtoks\titlerunning +\def\authorfont{\bfseries} + +\def\combirunning#1{\gdef\@combi{#1}} +\def\@combi{} +\newbox\combirun +% +\def\ps@last{\def\@evenhead{\small\rlap{\thepage}\hfil +\lastevenhead}} +\newcounter{lastpage} +\def\islastpageeven{\@ifundefined{lastpagenumber} +{\setcounter{lastpage}{0}}{\setcounter{lastpage}{\lastpagenumber}} +\ifnum\value{lastpage}>0 + \ifodd\value{lastpage}% + \else + \if@smartrunh + \thispagestyle{last}% + \fi + \fi +\fi} +\def\getlastpagenumber{\clearpage +\addtocounter{page}{-1}% + \immediate\write\@auxout{\string\gdef\string\lastpagenumber{\thepage}}% + \immediate\write\@auxout{\string\newlabel{LastPage}{{}{\thepage}}}% + \addtocounter{page}{1}} + +\def\journalname#1{\gdef\@journalname{#1}} + +\def\dedication#1{\gdef\@dedic{#1}} +\def\@dedic{} + +\let\@date\undefined +\def\notused{~} + +\def\institute#1{\gdef\@institute{#1}} + +\def\offprints#1{\begingroup +\def\protect{\noexpand\protect\noexpand}\xdef\@thanks{\@thanks +\protect\footnotetext[0]{\unskip\hskip-15pt{\itshape Send offprint requests +to\/}: \ignorespaces#1}}\endgroup\ignorespaces} + +%\def\mail#1{\gdef\@mail{#1}} +%\def\@mail{} + +\def\@thanks{} + +\def\@fnsymbol#1{\ifcase#1\or\star\or{\star\star}\or{\star\star\star}% + \or \dagger\or \ddagger\or + \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger + \or \ddagger\ddagger \else\@ctrerr\fi\relax} +% +%\def\invthanks#1{\footnotetext[0]{\kern-\bibindent#1}} +% +\def\nothanksmarks{\def\thanks##1{\protected@xdef\@thanks{\@thanks + \protect\footnotetext[0]{\kern-\bibindent##1}}}} +% +\def\subtitle#1{\gdef\@subtitle{#1}} +\def\@subtitle{} + +\def\headnote#1{\gdef\@headnote{#1}} +\def\@headnote{} + +\def\papertype#1{\gdef\paper@type{\MakeUppercase{#1}}} +\def\paper@type{} + +\def\ch@ckobl#1#2{\@ifundefined{@#1} + {\typeout{SVJour3 warning: Missing +\expandafter\string\csname#1\endcsname}% + \csname #1\endcsname{#2}} + {}} +% +\def\ProcessRunnHead{% + \def\\{\unskip\ \ignorespaces}% + \def\thanks##1{\unskip{}}% + \instindent=\textwidth + \advance\instindent by-\headlineindent + \if!\the\titlerunning!\else + \edef\@title{\the\titlerunning}% + \fi + \global\setbox\titrun=\hbox{\small\rmfamily\unboldmath\ignorespaces\@title + \unskip}% + \ifdim\wd\titrun>\instindent + \typeout{^^JSVJour3 Warning: Title too long for running head.}% + \typeout{Please supply a shorter form with \string\titlerunning + \space prior to \string\maketitle}% + \global\setbox\titrun=\hbox{\small\rmfamily + Title Suppressed Due to Excessive Length}% + \fi + \xdef\@title{\copy\titrun}% +% + \if!\the\authorrunning! + \else + \setcounter{auth}{1}% + \edef\@author{\the\authorrunning}% + \fi + \ifnum\value{inst}>\authdepth + \def\stripauthor##1\and##2\endauthor{% + \protected@xdef\@author{##1\unskip\unskip\if!##2!\else\ et al.\fi}}% + \expandafter\stripauthor\@author\and\endauthor + \else + \gdef\and{\unskip, \ignorespaces}% + {\def\and{\noexpand\protect\noexpand\and}% + \protected@xdef\@author{\@author}} + \fi + \global\setbox\authrun=\hbox{\small\rmfamily\unboldmath\ignorespaces + \@author\unskip}% + \ifdim\wd\authrun>\instindent + \typeout{^^JSVJour3 Warning: Author name(s) too long for running head. + ^^JPlease supply a shorter form with \string\authorrunning + \space prior to \string\maketitle}% + \global\setbox\authrun=\hbox{\small\rmfamily Please give a shorter version + with: {\tt\string\authorrunning\space and + \string\titlerunning\space prior to \string\maketitle}}% + \fi + \xdef\@author{\copy\authrun}% + \markboth{\@author}{\@title}% +} +% +\let\orithanks=\thanks +\def\thanks#1{\ClassWarning{SVJour3}{\string\thanks\space may only be +used inside of \string\title, \string\author,\MessageBreak +and \string\date\space prior to \string\maketitle}} +% +\def\maketitle{\par\let\thanks=\orithanks +\ch@ckobl{journalname}{Noname} +\ch@ckobl{date}{the date of receipt and acceptance should be inserted +later} +\ch@ckobl{title}{A title should be given} +\ch@ckobl{author}{Name(s) and initial(s) of author(s) should be given} +\ch@ckobl{institute}{Address(es) of author(s) should be given} +\begingroup +% + \renewcommand\thefootnote{\@fnsymbol\c@footnote}% + \def\@makefnmark{$^{\@thefnmark}$}% + \renewcommand\@makefntext[1]{% + \noindent + \hb@xt@\bibindent{\hss\@makefnmark\enspace}##1\vrule height0pt + width0pt depth8pt} +% + \def\lastand{\ifnum\value{inst}=2\relax + \unskip{} \andname\ + \else + \unskip, \andname\ + \fi}% + \def\and{\stepcounter{auth}\relax + \if@smartand + \ifnum\value{auth}=\value{inst}% + \lastand + \else + \unskip, + \fi + \else + \unskip, + \fi}% + \thispagestyle{empty} + \ifnum \col@number=\@ne + \@maketitle + \else + \twocolumn[\@maketitle]% + \fi +% + \global\@topnum\z@ + \if!\@thanks!\else + \@thanks +\insert\footins{\vskip-3pt\hrule\@width\if@twocolumn\columnwidth +\else 38mm\fi\vskip3pt}% + \fi + {\def\thanks##1{\unskip{}}% + \def\iand{\\[5pt]\let\and=\nand}% + \def\nand{\ifhmode\unskip\nobreak\fi\ $\cdot$ }% + \let\and=\nand + \def\at{\\\let\and=\iand}% + \footnotetext[0]{\kern-\bibindent + \ignorespaces\@institute}\vspace{5dd}}% +%\if!\@mail!\else +% \footnotetext[0]{\kern-\bibindent\mailname\ +% \ignorespaces\@mail}% +%\fi +% + \if@runhead + \ProcessRunnHead + \fi +% + \endgroup + \setcounter{footnote}{0} + \global\let\thanks\relax + \global\let\maketitle\relax + \global\let\@maketitle\relax + \global\let\@thanks\@empty + \global\let\@author\@empty + \global\let\@date\@empty + \global\let\@title\@empty + \global\let\@subtitle\@empty + \global\let\title\relax + \global\let\author\relax + \global\let\date\relax + \global\let\and\relax} + +\def\makeheadbox{{% +\hbox to0pt{\vbox{\baselineskip=10dd\hrule\hbox +to\hsize{\vrule\kern3pt\vbox{\kern3pt +\hbox{\bfseries\@journalname\ manuscript No.} +\hbox{(will be inserted by the editor)} +\kern3pt}\hfil\kern3pt\vrule}\hrule}% +\hss}}} +% +\def\rubric{\setbox0=\hbox{\small\strut}\@tempdima=\ht0\advance +\@tempdima\dp0\advance\@tempdima2\fboxsep\vrule\@height\@tempdima +\@width\z@} +\newdimen\rubricwidth +% +\def\@maketitle{\newpage +\normalfont +\vbox to0pt{\if@twocolumn\vskip-39pt\else\vskip-49pt\fi +\nointerlineskip +\makeheadbox\vss}\nointerlineskip +\vbox to 0pt{\offinterlineskip\rubricwidth=\columnwidth +%%%%\vskip-12.5pt % -12.5pt +\if@twocolumn\else % one column journal + \divide\rubricwidth by144\multiply\rubricwidth by89 % perform golden section + \vskip-\topskip +\fi +\hrule\@height0.35mm\noindent +\advance\fboxsep by.25mm +\global\advance\rubricwidth by0pt +\rubric +\vss}\vskip19.5pt % war 9pt +% +\if@twocolumn\else + \gdef\footnoterule{% + \kern-3\p@ + \hrule\@width38mm % \columnwidth \rubricwidth + \kern2.6\p@} +\fi +% + \setbox\authrun=\vbox\bgroup + \if@twocolumn + \hrule\@height10.5mm\@width0\p@ + \else + \hrule\@height 2mm\@width0\p@ + \fi + \pretolerance=10000 + \rightskip=0pt plus 4cm + \nothanksmarks +% \if!\@headnote!\else +% \noindent +% {\LARGE\normalfont\itshape\ignorespaces\@headnote\par}\vskip 3.5mm +% \fi + {\LARGE\bfseries + \noindent\ignorespaces + \@title \par}\vskip 17pt\relax + \if!\@subtitle!\else + {\large\bfseries + \pretolerance=10000 + \rightskip=0pt plus 3cm + \vskip-12pt +% \noindent\ignorespaces\@subtitle \par}\vskip 11.24pt\relax + \noindent\ignorespaces\@subtitle \par}\vskip 17pt\relax + \fi + {\authorfont + \setbox0=\vbox{\setcounter{auth}{1}\def\and{\stepcounter{auth} }% + \hfuzz=2\textwidth\def\thanks##1{}\@author}% + \setcounter{footnote}{0}% + \global\value{inst}=\value{auth}% + \setcounter{auth}{1}% + \if@twocolumn + \rightskip43mm plus 4cm minus 3mm + \else % one column journal + \rightskip=\linewidth + \advance\rightskip by-\rubricwidth + \advance\rightskip by0pt plus 4cm minus 3mm + \fi +% +\def\and{\unskip\nobreak\enskip{\boldmath$\cdot$}\enskip\ignorespaces}% + \noindent\ignorespaces\@author\vskip7.23pt} +% + \small + \if!\@dedic!\else + \par + \normalsize\it + \addvspace\baselineskip + \noindent\@dedic + \fi + \egroup % end of header box + \@tempdima=\headerboxheight + \advance\@tempdima by-\ht\authrun + \unvbox\authrun + \ifdim\@tempdima>0pt + \vrule width0pt height\@tempdima\par + \fi + \noindent{\small\@date\if@twocolumn\vskip 7.2mm\else\vskip 5.2mm\fi} + \global\@minipagetrue + \global\everypar{\global\@minipagefalse\global\everypar{}}% +%\vskip22.47pt +} +% +\if@mathematic + \def\vec#1{\ensuremath{\mathchoice + {\mbox{\boldmath$\displaystyle\mathbf{#1}$}} + {\mbox{\boldmath$\textstyle\mathbf{#1}$}} + {\mbox{\boldmath$\scriptstyle\mathbf{#1}$}} + {\mbox{\boldmath$\scriptscriptstyle\mathbf{#1}$}}}} +\else + \def\vec#1{\ensuremath{\mathchoice + {\mbox{\boldmath$\displaystyle#1$}} + {\mbox{\boldmath$\textstyle#1$}} + {\mbox{\boldmath$\scriptstyle#1$}} + {\mbox{\boldmath$\scriptscriptstyle#1$}}}} +\fi +% +\def\tens#1{\ensuremath{\mathsf{#1}}} +% +\setcounter{secnumdepth}{3} +\newcounter {section} +\newcounter {subsection}[section] +\newcounter {subsubsection}[subsection] +\newcounter {paragraph}[subsubsection] +\newcounter {subparagraph}[paragraph] +\renewcommand\thesection {\@arabic\c@section} +\renewcommand\thesubsection {\thesection.\@arabic\c@subsection} +\renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection} +\renewcommand\theparagraph {\thesubsubsection.\@arabic\c@paragraph} +\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph} +% +\def\@hangfrom#1{\setbox\@tempboxa\hbox{#1}% + \hangindent \z@\noindent\box\@tempboxa} +% +\def\@seccntformat#1{\csname the#1\endcsname\sectcounterend +\hskip\betweenumberspace} +% +% \newif\if@sectrule +% \if@twocolumn\else\let\@sectruletrue=\relax\fi +% \if@avier\let\@sectruletrue=\relax\fi +% \def\makesectrule{\if@sectrule\global\@sectrulefalse\null\vglue-\topskip +% \hrule\nobreak\parskip=5pt\relax\fi} +% % +% \let\makesectruleori=\makesectrule +% \def\restoresectrule{\global\let\makesectrule=\makesectruleori\global\@sectrulefalse} +% \def\nosectrule{\let\makesectrule=\restoresectrule} +% +\def\@startsection#1#2#3#4#5#6{% + \if@noskipsec \leavevmode \fi + \par + \@tempskipa #4\relax + \@afterindenttrue + \ifdim \@tempskipa <\z@ + \@tempskipa -\@tempskipa \@afterindentfalse + \fi + \if@nobreak + \everypar{}% + \else + \addpenalty\@secpenalty\addvspace\@tempskipa + \fi +% \ifnum#2=1\relax\@sectruletrue\fi + \@ifstar + {\@ssect{#3}{#4}{#5}{#6}}% + {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}} +% +\def\@sect#1#2#3#4#5#6[#7]#8{% + \ifnum #2>\c@secnumdepth + \let\@svsec\@empty + \else + \refstepcounter{#1}% + \protected@edef\@svsec{\@seccntformat{#1}\relax}% + \fi + \@tempskipa #5\relax + \ifdim \@tempskipa>\z@ + \begingroup + #6{% \makesectrule + \@hangfrom{\hskip #3\relax\@svsec}% + \raggedright + \hyphenpenalty \@M% + \interlinepenalty \@M #8\@@par}% + \endgroup + \csname #1mark\endcsname{#7}% + \addcontentsline{toc}{#1}{% + \ifnum #2>\c@secnumdepth \else + \protect\numberline{\csname the#1\endcsname\sectcounterend}% + \fi + #7}% + \else + \def\@svsechd{% + #6{\hskip #3\relax + \@svsec #8\/\hskip\aftertext}% + \csname #1mark\endcsname{#7}% + \addcontentsline{toc}{#1}{% + \ifnum #2>\c@secnumdepth \else + \protect\numberline{\csname the#1\endcsname}% + \fi + #7}}% + \fi + \@xsect{#5}} +% +\def\@ssect#1#2#3#4#5{% + \@tempskipa #3\relax + \ifdim \@tempskipa>\z@ + \begingroup + #4{% \makesectrule + \@hangfrom{\hskip #1}% + \interlinepenalty \@M #5\@@par}% + \endgroup + \else + \def\@svsechd{#4{\hskip #1\relax #5}}% + \fi + \@xsect{#3}} + +% +% measures and setting of sections +% +\def\section{\@startsection{section}{1}{\z@}% + {-21dd plus-8pt minus-4pt}{10.5dd} + {\normalsize\bfseries\boldmath}} +\def\subsection{\@startsection{subsection}{2}{\z@}% + {-21dd plus-8pt minus-4pt}{10.5dd} + {\normalsize\upshape}} +\def\subsubsection{\@startsection{subsubsection}{3}{\z@}% + {-13dd plus-8pt minus-4pt}{10.5dd} + {\normalsize\itshape}} +\def\paragraph{\@startsection{paragraph}{4}{\z@}% + {-13pt plus-8pt minus-4pt}{\z@}{\normalsize\itshape}} + +\setlength\leftmargini {\parindent} +\leftmargin \leftmargini +\setlength\leftmarginii {\parindent} +\setlength\leftmarginiii {1.87em} +\setlength\leftmarginiv {1.7em} +\setlength\leftmarginv {.5em} +\setlength\leftmarginvi {.5em} +\setlength \labelsep {.5em} +\setlength \labelwidth{\leftmargini} +\addtolength\labelwidth{-\labelsep} +\@beginparpenalty -\@lowpenalty +\@endparpenalty -\@lowpenalty +\@itempenalty -\@lowpenalty +\renewcommand\theenumi{\@arabic\c@enumi} +\renewcommand\theenumii{\@alph\c@enumii} +\renewcommand\theenumiii{\@roman\c@enumiii} +\renewcommand\theenumiv{\@Alph\c@enumiv} +\newcommand\labelenumi{\theenumi.} +\newcommand\labelenumii{(\theenumii)} +\newcommand\labelenumiii{\theenumiii.} +\newcommand\labelenumiv{\theenumiv.} +\renewcommand\p@enumii{\theenumi} +\renewcommand\p@enumiii{\theenumi(\theenumii)} +\renewcommand\p@enumiv{\p@enumiii\theenumiii} +\newcommand\labelitemi{\normalfont\bfseries --} +\newcommand\labelitemii{\normalfont\bfseries --} +\newcommand\labelitemiii{$\m@th\bullet$} +\newcommand\labelitemiv{$\m@th\cdot$} + +\if@spthms +% definition of the "\spnewtheorem" command. +% +% Usage: +% +% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font} +% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font} +% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font} +% +% New is "cap_font" and "body_font". It stands for +% fontdefinition of the caption and the text itself. +% +% "\spnewtheorem*" gives a theorem without number. +% +% A defined spnewthoerem environment is used as described +% by Lamport. +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\def\@thmcountersep{} +\def\@thmcounterend{} +\newcommand\nocaption{\noexpand\@gobble} +\newdimen\spthmsep \spthmsep=5pt + +\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}} + +% definition of \spnewtheorem with number + +\def\@spnthm#1#2{% + \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}} +\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}} + +\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}\@addtoreset{#1}{#3}% + \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand + \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}% + \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@spothm#1[#2]#3#4#5{% + \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}% + {\expandafter\@ifdefinable\csname #1\endcsname + {\global\@namedef{the#1}{\@nameuse{the#2}}% + \expandafter\xdef\csname #1name\endcsname{#3}% + \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}% + \global\@namedef{end#1}{\@endtheorem}}}} + +\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@ +\labelsep=\spthmsep\refstepcounter{#1}% +\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}} + +\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}% + \ignorespaces} + +\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname + the#1\endcsname}{#5}{#3}{#4}\ignorespaces} + +\def\normalthmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont + \item[\hskip\labelsep{##3##1\ ##2\@thmcounterend}]##4} +\def\@spopargbegintheorem##1##2##3##4##5{\trivlist + \item[\hskip\labelsep{##4##1\ ##2}]{##4(##3)\@thmcounterend\ }##5}} +\normalthmheadings + +\def\reversethmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont + \item[\hskip\labelsep{##3##2\ ##1\@thmcounterend}]##4} +\def\@spopargbegintheorem##1##2##3##4##5{\trivlist + \item[\hskip\labelsep{##4##2\ ##1}]{##4(##3)\@thmcounterend\ }##5}} + +% definition of \spnewtheorem* without number + +\def\@sthm#1#2{\@Ynthm{#1}{#2}} + +\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname + {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@ +\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}} + +\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces} + +\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1} + {#4}{#2}{#3}\ignorespaces} + +\def\@Begintheorem#1#2#3{#3\trivlist + \item[\hskip\labelsep{#2#1\@thmcounterend}]} + +\def\@Opargbegintheorem#1#2#3#4{#4\trivlist + \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }} + +% initialize theorem environment + +\if@envcntsect + \def\@thmcountersep{.} + \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape} +\else + \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape} + \if@envcntreset + \@addtoreset{theorem}{section} + \else + \@addtoreset{theorem}{chapter} + \fi +\fi + +%definition of divers theorem environments +\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily} +\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily} +\if@envcntsame % all environments like "Theorem" - using its counter + \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}} +\else % all environments with their own counter + \if@envcntsect % show section counter + \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}} + \else % not numbered with section + \if@envcntreset + \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} + \@addtoreset{#1}{section}} + \else + \let\spn@wtheorem=\@spynthm + \fi + \fi +\fi +% +\let\spdefaulttheorem=\spn@wtheorem +% +\spn@wtheorem{case}{Case}{\itshape}{\rmfamily} +\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily} +\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape} +\spn@wtheorem{definition}{Definition}{\bfseries}{\rmfamily} +\spn@wtheorem{example}{Example}{\itshape}{\rmfamily} +\spn@wtheorem{exercise}{Exercise}{\bfseries}{\rmfamily} +\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape} +\spn@wtheorem{note}{Note}{\itshape}{\rmfamily} +\spn@wtheorem{problem}{Problem}{\bfseries}{\rmfamily} +\spn@wtheorem{property}{Property}{\itshape}{\rmfamily} +\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape} +\spn@wtheorem{question}{Question}{\itshape}{\rmfamily} +\spn@wtheorem{solution}{Solution}{\bfseries}{\rmfamily} +\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily} +% +\newenvironment{theopargself} + {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist + \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5} + \def\@Opargbegintheorem##1##2##3##4{##4\trivlist + \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}}{} +\newenvironment{theopargself*} + {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist + \item[\hskip\labelsep{##4##1\ ##2}]{\hspace*{-\labelsep}##4##3\@thmcounterend}##5} + \def\@Opargbegintheorem##1##2##3##4{##4\trivlist + \item[\hskip\labelsep{##3##1}]{\hspace*{-\labelsep}##3##2\@thmcounterend}}}{} +% +\fi + +\def\@takefromreset#1#2{% + \def\@tempa{#1}% + \let\@tempd\@elt + \def\@elt##1{% + \def\@tempb{##1}% + \ifx\@tempa\@tempb\else + \@addtoreset{##1}{#2}% + \fi}% + \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname + \expandafter\def\csname cl@#2\endcsname{}% + \@tempc + \let\@elt\@tempd} + +\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}} +\def\qed{\ifmmode\else\unskip\quad\fi\squareforqed} +\def\smartqed{\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil +\penalty50\hskip1em\null\nobreak\hfil\squareforqed +\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}} + +% Define `abstract' environment +\def\abstract{\topsep=0pt\partopsep=0pt\parsep=0pt\itemsep=0pt\relax +\trivlist\item[\hskip\labelsep +{\bfseries\abstractname}]\if!\abstractname!\hskip-\labelsep\fi} +\if@twocolumn +% \if@avier +% \def\endabstract{\endtrivlist\addvspace{5mm}\strich} +% \def\strich{\hrule\vskip1ptplus12pt} +% \else + \def\endabstract{\endtrivlist\addvspace{3mm}} +% \fi +\else +\fi +% +\newenvironment{verse} + {\let\\\@centercr + \list{}{\itemsep \z@ + \itemindent -1.5em% + \listparindent\itemindent + \rightmargin \leftmargin + \advance\leftmargin 1.5em}% + \item\relax} + {\endlist} +\newenvironment{quotation} + {\list{}{\listparindent 1.5em% + \itemindent \listparindent + \rightmargin \leftmargin + \parsep \z@ \@plus\p@}% + \item\relax} + {\endlist} +\newenvironment{quote} + {\list{}{\rightmargin\leftmargin}% + \item\relax} + {\endlist} +\newcommand\appendix{\par\small + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \renewcommand\thesection{\@Alph\c@section}} +\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\c@equation} +\newcounter{figure} +\renewcommand\thefigure{\@arabic\c@figure} +\def\fps@figure{tbp} +\def\ftype@figure{1} +\def\ext@figure{lof} +\def\fnum@figure{\figurename~\thefigure} +\newenvironment{figure} + {\@float{figure}} + {\end@float} +\newenvironment{figure*} + {\@dblfloat{figure}} + {\end@dblfloat} +\newcounter{table} +\renewcommand\thetable{\@arabic\c@table} +\def\fps@table{tbp} +\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} +% +\def \@floatboxreset {% + \reset@font + \small + \@setnobreak + \@setminipage +} +% +\newcommand{\tableheadseprule}{\noalign{\hrule height.375mm}} +% +\newlength\abovecaptionskip +\newlength\belowcaptionskip +\setlength\abovecaptionskip{10\p@} +\setlength\belowcaptionskip{0\p@} +\newcommand\leftlegendglue{} + +\def\fig@type{figure} + +\newdimen\figcapgap\figcapgap=3pt +\newdimen\tabcapgap\tabcapgap=5.5pt + +\@ifundefined{floatlegendstyle}{\def\floatlegendstyle{\bfseries}}{} + +\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname + ext@#1\endcsname}{#1}{\protect\numberline{\csname + the#1\endcsname}{\ignorespaces #2}}\begingroup + \@parboxrestore + \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par + \endgroup} + +\def\capstrut{\vrule\@width\z@\@height\topskip} + +\@ifundefined{captionstyle}{\def\captionstyle{\normalfont\small}}{} + +\long\def\@makecaption#1#2{% + \captionstyle + \ifx\@captype\fig@type + \vskip\figcapgap + \fi + \setbox\@tempboxa\hbox{{\floatlegendstyle #1\floatcounterend}% + \capstrut #2}% + \ifdim \wd\@tempboxa >\hsize + {\floatlegendstyle #1\floatcounterend}\capstrut #2\par + \else + \hbox to\hsize{\leftlegendglue\unhbox\@tempboxa\hfil}% + \fi + \ifx\@captype\fig@type\else + \vskip\tabcapgap + \fi} + +\newdimen\figgap\figgap=1cc +\long\def\@makesidecaption#1#2{% + \parbox[b]{\@tempdimb}{\captionstyle{\floatlegendstyle + #1\floatcounterend}#2}} +\def\sidecaption#1\caption{% +\setbox\@tempboxa=\hbox{#1\unskip}% +\if@twocolumn + \ifdim\hsize<\textwidth\else + \ifdim\wd\@tempboxa<\columnwidth + \typeout{Double column float fits into single column - + ^^Jyou'd better switch the environment. }% + \fi + \fi +\fi +\@tempdimb=\hsize +\advance\@tempdimb by-\figgap +\advance\@tempdimb by-\wd\@tempboxa +\ifdim\@tempdimb<3cm + \typeout{\string\sidecaption: No sufficient room for the legend; + using normal \string\caption. }% + \unhbox\@tempboxa + \let\@capcommand=\@caption +\else + \let\@capcommand=\@sidecaption + \leavevmode + \unhbox\@tempboxa + \hfill +\fi +\refstepcounter\@captype +\@dblarg{\@capcommand\@captype}} + +\long\def\@sidecaption#1[#2]#3{\addcontentsline{\csname + ext@#1\endcsname}{#1}{\protect\numberline{\csname + the#1\endcsname}{\ignorespaces #2}}\begingroup + \@parboxrestore + \@makesidecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par + \endgroup} + +% Define `acknowledgement' environment +\def\acknowledgement{\par\addvspace{17pt}\small\rmfamily +\trivlist\if!\ackname!\item[]\else +\item[\hskip\labelsep +{\bfseries\ackname}]\fi} +\def\endacknowledgement{\endtrivlist\addvspace{6pt}} +\newenvironment{acknowledgements}{\begin{acknowledgement}} +{\end{acknowledgement}} +% Define `noteadd' environment +\def\noteadd{\par\addvspace{17pt}\small\rmfamily +\trivlist\item[\hskip\labelsep +{\itshape\noteaddname}]} +\def\endnoteadd{\endtrivlist\addvspace{6pt}} + +\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} +\newcommand\@pnumwidth{1.55em} +\newcommand\@tocrmarg{2.55em} +\newcommand\@dotsep{4.5} +\setcounter{tocdepth}{1} +\newcommand\tableofcontents{% + \section*{\contentsname}% + \@starttoc{toc}% + \addtocontents{toc}{\begingroup\protect\small}% + \AtEndDocument{\addtocontents{toc}{\endgroup}}% + } +\newcommand*\l@part[2]{% + \ifnum \c@tocdepth >-2\relax + \addpenalty\@secpenalty + \addvspace{2.25em \@plus\p@}% + \begingroup + \setlength\@tempdima{3em}% + \parindent \z@ \rightskip \@pnumwidth + \parfillskip -\@pnumwidth + {\leavevmode + \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par + \nobreak + \if@compatibility + \global\@nobreaktrue + \everypar{\global\@nobreakfalse\everypar{}}% + \fi + \endgroup + \fi} +\newcommand*\l@section{\@dottedtocline{1}{0pt}{1.5em}} +\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 +\newdimen\bibindent +\setlength\bibindent{\parindent} +\def\@biblabel#1{#1.} +\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw + {\let\protect\noexpand + \immediate + \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} +\newenvironment{thebibliography}[1] + {\section*{\refname + \@mkboth{\refname}{\refname}}\small + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{#1}}% + \leftmargin\labelwidth + \advance\leftmargin\labelsep + \@openbib@code + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \sloppy\clubpenalty4000\widowpenalty4000% + \sfcode`\.\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} +% +\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{,}{\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{,\hskip0.1em\ignorespaces}\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{,\hskip0.1em\ignorespaces}% + \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else + {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else \def\@citea{--}\fi + \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi} +% +\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em} +\let\@openbib@code\@empty +\newenvironment{theindex} + {\if@twocolumn + \@restonecolfalse + \else + \@restonecoltrue + \fi + \columnseprule \z@ + \columnsep 35\p@ + \twocolumn[\section*{\indexname}]% + \@mkboth{\indexname}{\indexname}% + \thispagestyle{plain}\parindent\z@ + \parskip\z@ \@plus .3\p@\relax + \let\item\@idxitem} + {\if@restonecol\onecolumn\else\clearpage\fi} +\newcommand\@idxitem{\par\hangindent 40\p@} +\newcommand\subitem{\@idxitem \hspace*{20\p@}} +\newcommand\subsubitem{\@idxitem \hspace*{30\p@}} +\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax} + +\if@twocolumn + \renewcommand\footnoterule{% + \kern-3\p@ + \hrule\@width\columnwidth + \kern2.6\p@} +\else + \renewcommand\footnoterule{% + \kern-3\p@ + \hrule\@width.382\columnwidth + \kern2.6\p@} +\fi +\newcommand\@makefntext[1]{% + \noindent + \hb@xt@\bibindent{\hss\@makefnmark\enspace}#1} +% +\def\trans@english{\switcht@albion} +\def\trans@french{\switcht@francais} +\def\trans@german{\switcht@deutsch} +\newenvironment{translation}[1]{\if!#1!\else +\@ifundefined{selectlanguage}{\csname trans@#1\endcsname}{\selectlanguage{#1}}% +\fi}{} +% languages +% English section +\def\switcht@albion{%\typeout{English spoken.}% + \def\abstractname{Abstract}% + \def\ackname{Acknowledgements}% + \def\andname{and}% + \def\lastandname{, and}% + \def\appendixname{Appendix}% + \def\chaptername{Chapter}% + \def\claimname{Claim}% + \def\conjecturename{Conjecture}% + \def\contentsname{Contents}% + \def\corollaryname{Corollary}% + \def\definitionname{Definition}% + \def\emailname{E-mail}% + \def\examplename{Example}% + \def\exercisename{Exercise}% + \def\figurename{Fig.}% + \def\keywordname{{\bfseries Keywords}}% + \def\indexname{Index}% + \def\lemmaname{Lemma}% + \def\contriblistname{List of Contributors}% + \def\listfigurename{List of Figures}% + \def\listtablename{List of Tables}% + \def\mailname{{\itshape Correspondence to\/}:}% + \def\noteaddname{Note added in proof}% + \def\notename{Note}% + \def\partname{Part}% + \def\problemname{Problem}% + \def\proofname{Proof}% + \def\propertyname{Property}% + \def\questionname{Question}% + \def\refname{References}% + \def\remarkname{Remark}% + \def\seename{see}% + \def\solutionname{Solution}% + \def\tablename{Table}% + \def\theoremname{Theorem}% +}\switcht@albion % make English default +% +% French section +\def\switcht@francais{\svlanginfo +%\typeout{On parle francais.}% + \def\abstractname{R\'esum\'e\runinend}% + \def\ackname{Remerciements\runinend}% + \def\andname{et}% + \def\lastandname{ et}% + \def\appendixname{Appendice}% + \def\chaptername{Chapitre}% + \def\claimname{Pr\'etention}% + \def\conjecturename{Hypoth\`ese}% + \def\contentsname{Table des mati\`eres}% + \def\corollaryname{Corollaire}% + \def\definitionname{D\'efinition}% + \def\emailname{E-mail}% + \def\examplename{Exemple}% + \def\exercisename{Exercice}% + \def\figurename{Fig.}% + \def\keywordname{{\bfseries Mots-cl\'e\runinend}}% + \def\indexname{Index}% + \def\lemmaname{Lemme}% + \def\contriblistname{Liste des contributeurs}% + \def\listfigurename{Liste des figures}% + \def\listtablename{Liste des tables}% + \def\mailname{{\itshape Correspondence to\/}:}% + \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}% + \def\notename{Remarque}% + \def\partname{Partie}% + \def\problemname{Probl\`eme}% + \def\proofname{Preuve}% + \def\propertyname{Caract\'eristique}% +%\def\propositionname{Proposition}% + \def\questionname{Question}% + \def\refname{Bibliographie}% + \def\remarkname{Remarque}% + \def\seename{voyez}% + \def\solutionname{Solution}% +%\def\subclassname{{\it Subject Classifications\/}:}% + \def\tablename{Tableau}% + \def\theoremname{Th\'eor\`eme}% +} +% +% German section +\def\switcht@deutsch{\svlanginfo +%\typeout{Man spricht deutsch.}% + \def\abstractname{Zusammenfassung\runinend}% + \def\ackname{Danksagung\runinend}% + \def\andname{und}% + \def\lastandname{ und}% + \def\appendixname{Anhang}% + \def\chaptername{Kapitel}% + \def\claimname{Behauptung}% + \def\conjecturename{Hypothese}% + \def\contentsname{Inhaltsverzeichnis}% + \def\corollaryname{Korollar}% +%\def\definitionname{Definition}% + \def\emailname{E-Mail}% + \def\examplename{Beispiel}% + \def\exercisename{\"Ubung}% + \def\figurename{Abb.}% + \def\keywordname{{\bfseries Schl\"usselw\"orter\runinend}}% + \def\indexname{Index}% +%\def\lemmaname{Lemma}% + \def\contriblistname{Mitarbeiter}% + \def\listfigurename{Abbildungsverzeichnis}% + \def\listtablename{Tabellenverzeichnis}% + \def\mailname{{\itshape Correspondence to\/}:}% + \def\noteaddname{Nachtrag}% + \def\notename{Anmerkung}% + \def\partname{Teil}% +%\def\problemname{Problem}% + \def\proofname{Beweis}% + \def\propertyname{Eigenschaft}% +%\def\propositionname{Proposition}% + \def\questionname{Frage}% + \def\refname{Literatur}% + \def\remarkname{Anmerkung}% + \def\seename{siehe}% + \def\solutionname{L\"osung}% +%\def\subclassname{{\it Subject Classifications\/}:}% + \def\tablename{Tabelle}% +%\def\theoremname{Theorem}% +} +\newcommand\today{} +\edef\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} +\setlength\columnsep{1.5cc} +\setlength\columnseprule{0\p@} +% +\frenchspacing +\clubpenalty=10000 +\widowpenalty=10000 +\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil +\global\let\@textbottom\relax}} +\pagestyle{headings} +\pagenumbering{arabic} +\if@twocolumn + \twocolumn +\fi +%\if@avier +% \onecolumn +% \setlength{\textwidth}{156mm} +% \setlength{\textheight}{226mm} +%\fi +\if@referee + \makereferee +\fi +\flushbottom +\endinput +%% +%% End of file `svjour3.cls'.