%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%  This is cl2emono.sty version 2.2

%%  (intermediate fix also for springer.sty for the use of

%%  LaTeX2e and NFSS2)

%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%  This is ucgreek

%  the definition of versal greek characters

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\mathchardef\Gamma="0100

\mathchardef\Delta="0101

\mathchardef\Theta="0102

\mathchardef\Lambda="0103

\mathchardef\Xi="0104

\mathchardef\Pi="0105

\mathchardef\Sigma="0106

\mathchardef\Upsilon="0107

\mathchardef\Phi="0108

\mathchardef\Psi="0109

\mathchardef\Omega="010A

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is referee.tex

%

% It defines the style option "referee"

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newif\if@referee \@refereefalse

\def\ds@referee{\@refereetrue

\typeout{A referee's copy will be produced.}%

\def\baselinestretch{2}\small

\normalsize\rm

\newbox\refereebox

\setbox\refereebox=\vbox to0pt{\vskip0.5cm%

  \hbox to\textwidth{\normalsize\tt\hrulefill\lower0.5ex

        \hbox{\kern5pt referee's copy\kern5pt}\hrulefill}\vss}%

\def\@oddfoot{\copy\refereebox}\let\@evenfoot=\@oddfoot}

% This is footinfo.tex

% it provides an informatory line on every page

%

\def\SpringerMacroPackageNameA{\springerstylefile}

% \thetime, \thedate and \timstamp are macros to include

% time, date (or both) of the TeX run in the document

\def\maketimestamp{\count255=\time

\divide\count255 by 60\relax

\edef\thetime{\the\count255:}%

\multiply\count255 by-60\relax

\advance\count255 by\time

\edef\thetime{\thetime\ifnum\count255<10 0\fi\the\count255}

\edef\thedate{\number\day-\ifcase\month\or Jan\or Feb\or Mar\or

             Apr\or May\or Jun\or Jul\or Aug\or Sep\or Oct\or

             Nov\or Dec\fi-\number\year}

\def\timstamp{\hbox to\hsize{\tt\hfil\thedate\hfil\thetime\hfil}}}

\maketimestamp

%

% \footinfo generates a info footline on every page containing

% pagenumber, jobname, macroname, and timestamp

\def\ds@footinfo{\maketimestamp

   \def\@oddfoot{\footnotesize\tt Page: \thepage\hfil job: \jobname\hfil

                 macro: \SpringerMacroPackageNameA\hfil

                 date/time: \thedate/\thetime}%

   \let\@evenfoot=\@oddfoot}

\def\footinfo{\maketimestamp

   \ds@footinfo

   \typeout{You ordered a foot-info line. }}

\def\nofootinfo{%

   \def\@oddfoot{}\def\@evenfoot{}%

   \typeout{Foot-info has been disabled. }}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is vector.tex

%

% It redefines the plain TeX \vec command

% and adds a \tens command for tensors

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% ##### (changed by RB)

\def\vec@style{\relax} % hook to change style of vector

                       % default yields boldface italic

% \def\vec@style{\bf}  % hook to change style of vector

%                      % default yields mathstyle i.e. boldface upright

\def\vec#1{\relax\ifmmode\mathchoice

{\mbox{\boldmath$\vec@style\displaystyle#1$}}

{\mbox{\boldmath$\vec@style\textstyle#1$}}

{\mbox{\boldmath$\vec@style\scriptstyle#1$}}

{\mbox{\boldmath$\vec@style\scriptscriptstyle#1$}}\else

\hbox{\boldmath$\vec@style\textstyle#1$}\fi}

\def\tens#1{\relax\ifmmode\mathchoice{\mbox{$\sf\displaystyle#1$}}

{\mbox{$\sf\textstyle#1$}}

{\mbox{$\sf\scriptstyle#1$}}

{\mbox{$\sf\scriptscriptstyle#1$}}\else

\hbox{$\sf\textstyle#1$}\fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is vecstyle.tex

%

% It enables documentstyle options vecmath and vecphys

% to change the vectors to upright bold face or

% to math italic bold respectively

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\ds@vecmath{\def\vec@style{\bf}\typeout{Vectors are now represented

in mathematics style as boldface upright characters.}}

\def\ds@vecphys{\let\vec@style\relax\typeout{Vectors are now represented

in physics style as boldface italics.}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is defaults.tex

%

% It sets the switches for twoside printing, numbering

% of equations and kind of citation.

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\@twosidetrue                       % twoside is default

\newif\if@bibay    \@bibayfalse     % citation with numbers

                                    % is default

\newif\if@numart   \@numartfalse    % numbering with chapternumbers

                                    % is default

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is misc.xxx

%

% It defines various commands not available in "plain LaTeX"

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand{\ts}{\thinspace{}}

\newcommand{\sq}{\hbox{\rlap{$\sqcap$}$\sqcup$}}

\newcommand{\qed}{\ifmmode\sq\else{\unskip\nobreak\hfil

  \penalty50\hskip1em\null\nobreak\hfil\sq

  \parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi{}}

\def\D{{\rm d}}

\def\E{{\rm e}}

\let\eul=\E

\def\I{{\rm i}}

\let\imag=\I

\def\strich{\vskip0.5cm\hrule\vskip3ptplus12pt\null}

% Frame for paste-in figures or tables

%\def\mpicplace#1#2{%#1 = width   #2 = height

%\vbox{\@tempdima=#2\advance\@tempdima by-2\fboxrule

%\hrule\@height \fboxrule\@width #1

%\hbox to #1{\vrule\@width \fboxrule\@height\@tempdima\hfil

%\vrule\@width \fboxrule\@height\@tempdima}\hrule\@height

%\fboxrule\@width #1}}

% #####

% Frame for paste-in figures or tables

\def\mpicplace#1#2{%  #1 =width   #2 =height

\vbox{\hbox to #1{\vrule width \fboxrule height #2\hfill}}}

\def\picplace#1{\mpicplace{\hsize}{#1}}

% Ragged bottom for the actual page

\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil

\global\let\@textbottom\relax}}

\flushbottom

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is layout.m01

%

% It defines various sizes and settings for books

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\topmargin=0cm

\textwidth=11.7cm

\textheight=18.9cm

\oddsidemargin=0.7cm

\evensidemargin=0.7cm

\headsep=12pt

\baselineskip=12pt

\parindent=15pt

\parskip=0pt plus 1pt

\hfuzz=2pt

\frenchspacing

\tolerance=500

\abovedisplayskip=3mm plus6pt minus 4pt

\belowdisplayskip=3mm plus6pt minus 4pt

\abovedisplayshortskip=0mm plus6pt minus 2pt

\belowdisplayshortskip=2mm plus4pt minus 4pt

\predisplaypenalty=0

\clubpenalty=10000

\widowpenalty=10000

\newdimen\betweenumberspace          % dimension for space between

\betweenumberspace=5pt               % number and text of titles.

\newdimen\headlineindent             % dimension for space between

\headlineindent=2.5cc                % number and text of headings.

\intextsep 20pt plus 2pt minus 2pt

\setcounter{topnumber}{4}

\def\topfraction{.9}

\setcounter{bottomnumber}{2}

\def\bottomfraction{.5}

\setcounter{totalnumber}{6}

\def\textfraction{.2}

\def\floatpagefraction{.5}

% Figures and tables are processed in small print

\def \@floatboxreset {%

        \reset@font

        \small

        \@setnobreak

        \@setminipage

}

\def\figure{\@float{figure}}

\@namedef{figure*}{\@dblfloat{figure}}

\def\table{\@float{table}}

\@namedef{table*}{\@dblfloat{table}}

\def\fps@figure{htbp}

\def\fps@table{htbp}

\labelsep=5\p@                       % measures for lists

\leftmargini=17.777\p@

\labelwidth\leftmargini\advance\labelwidth-\labelsep

\leftmarginii=\leftmargini

\leftmarginiii=\leftmargini

\parsep=\parskip

\def\@listI{\leftmargin\leftmargini

        \parsep=\parskip

        \topsep=\medskipamount

        \itemsep=\parskip \advance\itemsep by -\parsep}

\let\@listi\@listI

\@listi

\def\@listii{\leftmargin\leftmarginii

        \labelwidth\leftmarginii\advance\labelwidth by -\labelsep

        \parsep=\parskip

        \topsep=\z@

        \itemsep=\parskip \advance\itemsep by -\parsep}

\def\@listiii{\leftmargin\leftmarginiii

        \labelwidth\leftmarginiii\advance\labelwidth by -\labelsep

        \parsep=\parskip

        \topsep=\z@

        \itemsep=\parskip \advance\itemsep by -\parsep}

%

\def\@normalsize{\@setsize\normalsize{12pt}\xpt\@xpt

\abovedisplayskip=3mm plus6pt minus 4pt

\belowdisplayskip=3mm plus6pt minus 4pt

\abovedisplayshortskip=0mm plus6pt minus 2pt

\belowdisplayshortskip=2mm plus4pt minus 4pt

\let\@listi\@listI}   % Setting of \@listi added 9 Jun 87

%

\def\small{\@setsize\small{10pt}\ixpt\@ixpt

\abovedisplayskip 8.5\p@ plus3\p@ minus4\p@

\belowdisplayskip \abovedisplayskip

\abovedisplayshortskip \z@ plus2\p@

\belowdisplayshortskip 4\p@ plus2\p@ minus2\p@

\def\@listi{\leftmargin\leftmargini

\topsep 4pt plus 2pt minus 2pt\parsep\parskip

\itemsep\parskip}}

%

\def\itemize{\ifnum \@itemdepth >3 \@toodeep\else \advance\@itemdepth \@ne

\ifnum \@itemdepth=1 \leftmargini=10\p@

\labelwidth\leftmargini\advance\labelwidth-\labelsep

\leftmarginii=\leftmargini \leftmarginiii=\leftmargini \fi

\edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%

\list{\csname\@itemitem\endcsname}{\def\makelabel##1{\rlap{##1}\hss}}\fi}

%

\newdimen\verbatimindent \verbatimindent\parindent

\def\verbatim{\advance\@totalleftmargin by\verbatimindent

\@verbatim \frenchspacing\@vobeyspaces \@xverbatim}

%

\let\footnotesize=\small

%

\def\petit{\par\addvspace{6pt}\small}

\def\endpetit{\par\addvspace{6pt}}

%

\raggedbottom

\normalsize  % Choose the normalsize font.

% This is texte.tex

% it defines various texts and their translations

% called up with documentstyle options

\def\abstractname{Summary.}

\def\ackname{Acknowledgement.}

\def\andname{and}

\def\lastandname{, and}

\def\appendixname{Appendix}

\def\chaptername{Chapter}

\def\claimname{Claim}

\def\conjecturename{Conjecture}

\def\contentsname{Table of Contents}

\def\corollaryname{Corollary}

\def\definitionname{Definition}

\def\examplename{Example}

\def\exercisename{Exercise}

\def\figurename{Fig.}

\def\keywordname{{\bf Key words:}}

\def\indexname{Index}

\def\lemmaname{Lemma}

\def\contriblistname{List of Contributors}

\def\listfigurename{List of Figures}

\def\listtablename{List of Tables}

\def\mailname{{\it Correspondence to\/}:}

\def\noteaddname{Note added in proof}

\def\notename{Note}

\def\partname{Part}

\def\problemname{Problem}

\def\proofname{Proof}

\def\propertyname{Property}

\def\propositionname{Proposition}

\def\questionname{Question}

\def\remarkname{Remark}

\def\seename{see}

\def\solutionname{Solution}

\def\subclassname{{\it Subject Classifications\/}:}

\def\tablename{Table}

\def\theoremname{Theorem}

% Names of theorem like environments are already defined

% but must be translated if another language is chosen

%

% French section

\def\ds@francais{\typeout{On parle francais.}%

 \def\abstractname{R\'esum\'e.}%

 \def\ackname{Remerciements.}%

 \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\examplename{Exemple}%

 \def\exercisename{Exercice}%

 \def\figurename{Fig.}%

 \def\keywordname{{\bf Mots-cl\'e:}}

 \def\indexname{Index}

 \def\lemmaname{Lemme}%

 \def\contriblistname{Liste des contributeurs}

 \def\listfigurename{Liste des figures}%

 \def\listtablename{Liste des tables}%

 \def\mailname{{\it Correspondence to\/}:}

 \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}%

 \def\notename{Remarque}%

 \def\partname{Partie}%

 \def\problemname{Probl\`eme}%

 \def\proofname{\'Epreuve}%

 \def\propertyname{Caract\'eristique}%

%\def\propositionname{Proposition}%

 \def\questionname{Question}%

 \def\remarkname{Remarque}%

 \def\seename{voir}

 \def\solutionname{Solution}%

 \def\subclassname{{\it Subject Classifications\/}:}

 \def\tablename{Tableau}%

 \def\theoremname{Th\'eor\`eme}%

}

%

% German section

\def\ds@deutsch{\typeout{Man spricht deutsch.}%

 \def\abstractname{Zusammenfassung.}%

 \def\ackname{Danksagung.}%

 \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\examplename{Beispiel}%

 \def\exercisename{\"Ubung}%

 \def\figurename{Abb.}%

 \def\keywordname{{\bf Schl\"usselw\"orter:}}

 \def\indexname{Index}

%\def\lemmaname{Lemma}%

 \def\contriblistname{Mitarbeiter}

 \def\listfigurename{Abbildungsverzeichnis}%

 \def\listtablename{Tabellenverzeichnis}%

 \def\mailname{{\it 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\remarkname{Anmerkung}%

 \def\seename{siehe}

 \def\solutionname{L\"osung}%

 \def\subclassname{{\it Subject Classifications\/}:}

 \def\tablename{Tabelle}%

%\def\theoremname{Theorem}%

}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is titneu.xxx

%

% It redefines titles. Usage is like Lamport described.

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\setcounter{secnumdepth}{2}           % depth of the highest-level

                                      % sectioning command

\newcounter{chapter}                  % to use chapter together with

\@addtoreset{section}{chapter}        % article.sty

\@addtoreset{footnote}{chapter}

\def\thechapter{\arabic{chapter}}     % how titles will be typeset

\def\thesection{\thechapter.\arabic{section}}

\def\thesubsection{\thesection.\arabic{subsection}}

\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}

\def\theparagraph{\thesubsubsection.\arabic{paragraph}}

\def\thesubparagraph{\theparagraph.\arabic{subparagraph}}

\def\chaptermark#1{}

\def\sec@hangfrom#1{\setbox\@tempboxa\hbox{#1}%

      \hangindent \z@\noindent\box\@tempboxa}

% definition of chapter

\def\@chapapp{\chaptername}

\def\@makechapterhead#1{{\parindent0pt\raggedright

  \hyphenpenalty \@M

  \Large\bf\boldmath

  \sec@hangfrom{\thechapter\thechapterend\hskip\betweenumberspace}%!!!

  \ignorespaces#1\par

  \ifdim\pagetotal>118pt

     \vskip 24pt

  \else

     \@tempdima=118pt\advance\@tempdima by-\pagetotal

     \vskip\@tempdima

  \fi}}

\def\@makeschapterhead#1{{\parindent0pt\raggedright

  \hyphenpenalty \@M

  \Large\bf\boldmath

  \ignorespaces#1\par

  \ifdim\pagetotal>118pt

     \vskip 24pt

  \else

     \@tempdima=118pt\advance\@tempdima by-\pagetotal

     \vskip\@tempdima

  \fi}}

\newcommand{\clearemptydoublepage}{%

        \newpage{\pagestyle{empty}\cleardoublepage}}

\def\chapter{\clearemptydoublepage\thispagestyle{empty}

   \global\@topnum\z@\@afterindentfalse

   \secdef\@chapter\@schapter}

\def\@chapter[#1]#2{\ifnum\c@secnumdepth>\m@ne

   \refstepcounter{chapter}

   \typeout{\@chapapp\space\thechapter}

   \addcontentsline{toc}{chapter}{\protect

      \numberline{\thechapter\thechapterend}#1}\else %!!!

      \addcontentsline{toc}{chapter}{#1}

   \fi

   \chaptermark{#1}

   \addtocontents{lof}{\protect\addvspace{10pt}}

   \addtocontents{lot}{\protect\addvspace{10pt}}

   \if@twocolumn

       \@topnewpage[\@makechapterhead{#2}]

   \else \@makechapterhead{#2}

           \@afterheading

   \fi}

\def\@schapter#1{\if@twocolumn\@topnewpage[\@makeschapterhead{#1}]

        \else \@makeschapterhead{#1}

              \@afterheading\fi}

% Appendix

\def\appendix{\par

  \setcounter{chapter}{0}%

  \setcounter{section}{0}%

  \def\@chapapp{\appendixname}%

  \def\thechapter{\Alph{chapter}}}

%  definition of sections

%  \hyphenpenalty and \raggedright added, so that there is no

%  hyphenation and the text is set ragged-right in sectioning

\def\runinsep{.}

\def\aftertext{\unskip\runinsep}

\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth

   \let\@svsec\@empty\else

   \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname

                                   \hskip\betweenumberspace

                                   \ignorespaces}\fi

   \@tempskipa #5\relax

    \ifdim \@tempskipa>\z@

      \begingroup #6\relax

        \sec@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}\fi

                  #7}\else

     \def\@svsechd{#6\hskip #3\relax

                \@svsec #8\aftertext\ignorespaces

                    \csname #1mark\endcsname

                    {#7}\addcontentsline

                         {toc}{#1}{\ifnum #2>\c@secnumdepth \else

                           \protect\numberline{\csname the#1\endcsname}\fi

                     #7}}\fi

   \@xsect{#5}}

% measures and setting of sections

\def\section{\@startsection{section}{1}{\z@}%

    {-25pt plus-4pt minus-4pt}{12.5pt plus4pt

     minus4pt}{\large\bf\boldmath}}

\def\subsection{\@startsection{subsection}{2}{\z@}%

    {-17pt plus-4pt minus-4pt}{10pt plus4pt

     minus4pt}{\normalsize\bf\boldmath}}

\def\subsubsection{\@startsection{subsubsection}{3}{\z@}%

    {-5.388pt plus-4pt minus-4pt}{-5pt}{\normalsize\bf\boldmath}}

\def\paragraph{\@startsection{paragraph}{4}{\z@}%

    {-5.388pt plus-4pt minus-4pt}{-5pt}{\normalsize\it}}

\def\subparagraph{\@startsection{subparagraph}{5}{\z@}%

    {-5.388pt plus-4pt minus-4pt}{-5pt}{\normalsize\it}}

%  definition of \part

\def\thepart{\Roman{part}}

\def\part{\clearemptydoublepage   % Starts new page.

   \thispagestyle{empty}     % Page style of part page is empty

  \if@twocolumn              % IF two-column style

     \onecolumn              %  THEN \onecolumn

     \@tempswatrue           %       @tempswa := true

    \else \@tempswafalse     %  ELSE @tempswa := false

  \fi                        % FI

% \hbox{}\vfil               % Add fil glue to center title

%%  \bgroup  \centering      % BEGIN centering %% Removed 19 Jan 88

  \secdef\@part\@spart}

\def\@part[#1]#2{\ifnum \c@secnumdepth >-2\relax  % IF secnumdepth > -2

        \refstepcounter{part}                     %   THEN step part counter

        \addcontentsline{toc}{part}{\partname\    %        add toc line

        \thepart. #1}\else                        %   ELSE add unnumbered line

        \addcontentsline{toc}{part}{#1}\fi        % FI

   \markboth{}{}

   {\raggedleft                      % added 8.1.92 FUH

    \ifnum \c@secnumdepth >-2\relax  % IF secnumdepth > -2

      \Large\partname\ \thepart      %   THEN Print 'Part' and number

    \par                             %         in \Large

    \vskip 103.3pt \fi               %        Add space before title.

    \bf\boldmath                     % FI

    #2\par}\@endpart}                % Print Title in \Large bold.

% \@endpart finishes the part page

%

\def\@endpart{\vfil\newpage   % End page with 1fil glue.

   \if@twoside                % IF twoside printing

       \hbox{}                %   THEN Produce totally blank page

       \thispagestyle{empty}

       \newpage

   \fi                        % FI

   \if@tempswa                % IF @tempswa = true

     \twocolumn               %   THEN \twocolumn

   \fi}                       % FI

\def\@spart#1{{\raggedleft     % added 8 Jan 92 FUH

   \Large\bf\boldmath          % Print title in \Large-boldface

   #1\par}\@endpart}

\def\subtitle#1{\gdef\@subtitle{#1}}

\def\@subtitle{}

\def\maketitle{\par

 \begingroup

   \def\thefootnote{\fnsymbol{footnote}}%

   \def\@makefnmark{\hbox

       to\z@{$\m@th^{\@thefnmark}$\hss}}%

   \if@twocolumn

     \twocolumn[\@maketitle]%

     \else \newpage

     \global\@topnum\z@   % Prevents figures from going at top of page.

     \@maketitle \fi\thispagestyle{empty}\@thanks

     \par\penalty -\@M

 \endgroup

 \setcounter{footnote}{0}%

 \let\maketitle\relax

 \let\@maketitle\relax

 \gdef\@thanks{}\gdef\@author{}\gdef\@title{}\let\thanks\relax}

\def\@maketitle{\newpage

 \null

 \vskip 2em                 % Vertical space above title.

\begingroup

  \def\and{\unskip, }

  \parindent=\z@

  \pretolerance=10000

  \rightskip=0pt plus 3cm

  {\LARGE                   % each author set in \LARGE

   \lineskip .5em

   \@author

   \par}%

  \vskip 2cm                % Vertical space after author.

  {\Huge \@title \par}%     % Title set in \Huge size.

  \vskip 1cm                % Vertical space after title.

  \if!\@subtitle!\else

   {\LARGE\ignorespaces\@subtitle \par}

   \vskip 1cm                % Vertical space after subtitle.

  \fi

  \if!\@date!\else

    {\large \@date}%          % Date set in \large size.

    \par

    \vskip 1.5em               % Vertical space after date.

  \fi

 \vfill

 {\Large Springer-\kern-0.1em Verlag\par}

 \vskip 5pt

 \large

   Berlin\enspace Heidelberg\enspace New\kern0.1em York\\

   London\enspace Paris\enspace Tokyo\\

   Hong\thinspace Kong\enspace Barcelona\\

   Budapest\par

\endgroup}

\def\abstract{\if@twocolumn

\section*{\abstractname}%

\else \small

\begin{center}%

{\bf \abstractname\vspace{-.5em}\vspace{\z@}}%

\end{center}%

\quotation

\fi}

\def\endabstract{\if@twocolumn\else\endquotation\fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is toc.xxx

%

% it modifies the appearence of the table of contents

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\tableofcontents{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn

 \fi\chapter*{\contentsname \@mkboth{{\contentsname}}{{\contentsname}}}

 \@starttoc{toc}\if@restonecol\twocolumn\fi}

\setcounter{tocdepth}{2}

\def\l@part#1#2{\addpenalty{\@secpenalty}%

   \addvspace{2em plus\p@}%  % space above part line

   \begingroup

     \parindent \z@

     \rightskip \z@ plus 5em

     \hrule\vskip5pt

     \bf\boldmath        % set line in boldface

     \leavevmode          % TeX command to enter horizontal mode.

     #1\par

     \vskip5pt

     \hrule

     \vskip1pt

     \nobreak             % Never break after part entry

   \endgroup}

\def\@dotsep{2}

\def\l@chapter#1#2{\addpenalty{-\@highpenalty}

 \vskip 1.0em plus 1pt \@tempdima \tocchpnum \begingroup

 \parindent \z@ \rightskip \@pnumwidth

 \parfillskip -\@pnumwidth

 \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip

 {\bf\boldmath#1}\nobreak

 \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern

 \@dotsep mu$}\hfill

 \nobreak\hbox to\@pnumwidth{\hss #2}\par

 \penalty\@highpenalty \endgroup}

\newdimen\tocchpnum

\newdimen\tocsecnum

\newdimen\tocsectotal

\newdimen\tocsubsecnum

\newdimen\tocsubsectotal

\newdimen\tocsubsubsecnum

\newdimen\tocsubsubsectotal

\newdimen\tocparanum

\newdimen\tocparatotal

\newdimen\tocsubparanum

\tocchpnum=20\p@            % chapter {\bf 88.} plus 5.3pt

\tocsecnum=22.5\p@          % section 88.8. plus 4.722pt

\tocsubsecnum=30.5\p@       % subsection 88.8.8 plus 4.944pt

\tocsubsubsecnum=38\p@      % subsubsection 88.8.8.8 plus 4.666pt

\tocparanum=45\p@           % paragraph 88.8.8.8.8 plus 3.888pt

\tocsubparanum=53\p@        % subparagraph 88.8.8.8.8.8 plus 4.11pt

\def\calctocindent{%

\tocsectotal=\tocchpnum

\advance\tocsectotal by\tocsecnum

\tocsubsectotal=\tocsectotal

\advance\tocsubsectotal by\tocsubsecnum

\tocsubsubsectotal=\tocsubsectotal

\advance\tocsubsubsectotal by\tocsubsubsecnum

\tocparatotal=\tocsubsubsectotal

\advance\tocparatotal by\tocparanum}

\calctocindent

\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}

\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}

\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}

\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}

\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}

\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn

 \fi\chapter*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}}

 \@starttoc{lof}\if@restonecol\twocolumn\fi}

\def\l@figure{\@dottedtocline{1}{0em}{\tocsecnum}}

\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn

 \fi\chapter*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}}

 \@starttoc{lot}\if@restonecol\twocolumn\fi}

\let\l@table\l@figure

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

%             This is runnhead.xxx

%

% It redefines the headings of a text. There are two

% pagestyles possible: "\pagestyle{headings}" and

% "\pagestyle{myheadings}". "\pagestyle{headings}" is

% default.

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%

\@ifundefined{thechapterend}{\def\thechapterend{.}}{}

\if@twoside

\def\ps@headings{\let\@mkboth\markboth

   \def\@oddfoot{}\def\@evenfoot{}

   \def\@evenhead{\small\rm\rlap{\thepage}\hskip\headlineindent

                  \leftmark\hfil}

   \def\@oddhead{\hfil\small\rm\rightmark\hskip\headlineindent

                  \llap{\thepage}}

   \def\chaptermark##1{\markboth{{\ifnum\c@secnumdepth>\m@ne

      \thechapter\thechapterend\hskip\betweenumberspace\fi ##1}}{{\ifnum %!!!

      \c@secnumdepth>\m@ne\thechapter\thechapterend\hskip\betweenumberspace\fi ##1}}}%!!!

   \def\sectionmark##1{\markright{{\ifnum\c@secnumdepth>\z@

      \thesection\hskip\betweenumberspace\fi ##1}}}}

\else \def\ps@headings{\let\@mkboth\markboth

   \def\@oddfoot{}\def\@evenfoot{}

   \def\@oddhead{\hfil\small\rm\rightmark\hskip\headlineindent

                 \llap{\thepage}}

   \def\chaptermark##1{\markright{{\ifnum\c@secnumdepth>\m@ne

      \thechapter\thechapterend\hskip\betweenumberspace\fi ##1}}}} %!!!

\fi

\def\ps@myheadings{\let\@mkboth\@gobbletwo

   \def\@oddfoot{}\def\@evenfoot{}

   \def\@evenhead{\small\rm\rlap{\thepage}\hskip\headlineindent

                  \leftmark\hfil}

   \def\@oddhead{\hfil\small\rm\rightmark\hskip\headlineindent

                  \llap{\thepage}}

   \def\chaptermark##1{}

   \def\sectionmark##1{}%

   \def\subsectionmark##1{}}

\ps@headings

% 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.

%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\let\if@envcntreset\iffalse % environment counter is reset each chapter

\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}

\let\if@envcntsame\iffalse  % NOT all environments like "Theorem",

                            % each using its own counter

\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}

\def\envankh{section}       % show \thesection along with theorem number

\DeclareOption{envcountchap}{\def\envankh{chapter}%

\ExecuteOptions{envcountsect}}

\let\if@envcntsect\iftrue   % show \csname the\envankh\endcsname along

                            % with environment number

\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}

\ProcessOptions

\def\@thmcountersep{.}

\def\@thmcounterend{.}

\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@

\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\@spbegintheorem#1#2#3#4{\trivlist

                 \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}

% 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 % show section counter

   \def\@thmcountersep{.}

   \spnewtheorem{theorem}{Theorem}[\envankh]{\bfseries}{\itshape}

\else          % theorem counter only

   \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}[\envankh]{#3}{#4}}

   \else          % environment counter only

      \if@envcntreset % environment counter is reset each section

         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}

                                   \@addtoreset{#1}{section}}

      \else

         \let\spn@wtheorem=\@spynthm

      \fi

   \fi

\fi

\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}

\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}

\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}

\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}

\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}

%%LCP%% \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}

\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\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\ }}

      }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%

%%             This is figure.neu

%%

%% It redefines the captions for "figure" and "table"

%% environments.

%%

%% There are three new kind of captions: "\firstcaption"

%% and "\secondcaption" for captions set side by side.

%% Usage for those two commands: like "\caption".

%%

%% "\sidecaption" with two parms: #1 width of picture

%%                                #2 height of picture

%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\@ifundefined{floatlegendstyle}{\def\floatlegendstyle{\bfseries}}{}

\def\floatcounterend{.\ }

\def\capstrut{\vrule\@width\z@\@height\topskip}

\@ifundefined{captionstyle}{\def\captionstyle{\normalfont\small}}{}

\@ifundefined{instindent}{\newdimen\instindent}{}