--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/writeup/mlj_submission/svjour3.cls	Thu Sep 30 18:00:37 2010 -0400
@@ -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'.