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

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

 %%  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}{}

 \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\firstcaption{\refstepcounter\@captype\@dblarg%

             {\@firstcaption\@captype}}

 \def\secondcaption{\refstepcounter\@captype\@dblarg%

             {\@secondcaption\@captype}}

 \long\def\@firstcaption#1[#2]#3{\addcontentsline{\csname

   ext@#1\endcsname}{#1}{\protect\numberline{\csname

   the#1\endcsname}{\ignorespaces #2}}\begingroup

     \@parboxrestore

     \vskip3pt

     \@maketwocaptions{\csname fnum@#1\endcsname}{\ignorespaces #3}%

     \ignorespaces\hspace{.073\textwidth}\hfil%

   \endgroup}

 \long\def\@secondcaption#1[#2]#3{\addcontentsline{\csname

   ext@#1\endcsname}{#1}{\protect\numberline{\csname

   the#1\endcsname}{\ignorespaces #2}}\begingroup

     \@parboxrestore

     \@maketwocaptions{\csname fnum@#1\endcsname}{\ignorespaces #3}\par

   \endgroup}

 \long\def\@maketwocaptions#1#2{%

    \parbox[t]{.46\textwidth}{{\floatlegendstyle #1\floatcounterend} #2}}

 \newdimen\figgap\figgap=14.2pt

 %

 \long\def\@makesidecaption#1#2{%

    \setbox0=\vbox{\hsize=\@tempdima

                   \captionstyle{\floatlegendstyle

                                          #1\floatcounterend}#2}%

    \ifdim\instindent<\z@

       \ifdim\ht0>-\instindent

          \advance\instindent by\ht0

          \typeout{^^JClass-Warning: Legend of \string\sidecaption\space for

                      \@captype\space\csname the\@captype\endcsname

                   ^^Jis \the\instindent\space taller than the corresponding float -

                   ^^Jyou'd better switch the environment. }%

          \instindent\z@

       \fi

    \else

       \ifdim\ht0<\instindent

          \advance\instindent by-\ht0

          \advance\instindent by-\dp0\relax

          \advance\instindent by\topskip

          \advance\instindent by-11pt

       \else

          \advance\instindent by-\ht0

          \instindent=-\instindent

          \typeout{^^JClass-Warning: Legend of \string\sidecaption\space for

                      \@captype\space\csname the\@captype\endcsname

                   ^^Jis \the\instindent\space taller than the corresponding float -

                   ^^Jyou'd better switch the environment. }%

          \instindent\z@

       \fi

    \fi

    \parbox[b]{\@tempdima}{\captionstyle{\floatlegendstyle

                                         #1\floatcounterend}#2%

                           \ifdim\instindent>\z@ \\

                                \vrule\@width\z@\@height\instindent

                                      \@depth\z@

                           \fi}}

 \def\sidecaption{\@ifnextchar[\sidec@ption{\sidec@ption[b]}}

 \def\sidec@ption[#1]#2\caption{%

 \setbox\@tempboxa=\hbox{\ignorespaces#2\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

   \instindent=\ht\@tempboxa

   \advance\instindent by\dp\@tempboxa

 \if t#1

 \else

   \instindent=-\instindent

 \fi

 \@tempdima=\hsize

 \advance\@tempdima by-\figgap

 \advance\@tempdima by-\wd\@tempboxa

 \ifdim\@tempdima<3cm

     \typeout{\string\sidecaption: No sufficient room for the legend;

              using normal \string\caption. }%

    \unhbox\@tempboxa

    \let\@capcommand=\@caption

 \else

    \ifdim\@tempdima<4.5cm

       \typeout{\string\sidecaption: Room for the legend very narrow;

                using \string\raggedright. }%

       \toks@\expandafter{\captionstyle\sloppy

                          \rightskip=0ptplus6mm\relax}%

       \def\captionstyle{\the\toks@}%

    \fi

    \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}

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

 \def\fig@type{figure}

 \def\leftlegendglue{\hfil}

 \newdimen\figcapgap\figcapgap=3pt

 \newdimen\tabcapgap\tabcapgap=5.5pt

 \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}

 \newcounter{merk}

 \def\endfigure{\resetsubfig\end@float}

 \@namedef{endfigure*}{\resetsubfig\end@dblfloat}

 \let\resetsubfig\relax

 \def\subfigures{\stepcounter{figure}\setcounter{merk}{\value{figure}}%

 \setcounter{figure}{0}\def\thefigure{\if@numart\else\thechapter.\fi

 \@arabic\c@merk\alph{figure}}%

 \def\resetsubfig{\setcounter{figure}{\value{merk}}}}

 \let\leftlegendglue\relax

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

 %

 % Definition of environment  thebibliography

 %

 % Borrowed from book.cls

 %

 % by lcp

 \newcommand\bibname{Bibliography}

 \setlength\bibindent{1.5em}

 \renewenvironment{thebibliography}[1]

      {\chapter*{\bibname

         \@mkboth{\MakeUppercase\bibname}{\MakeUppercase\bibname}}%

       \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

       \@clubpenalty \clubpenalty

       \widowpenalty4000%

       \sfcode`\.\@m}

      {\def\@noitemerr

        {\@latex@warning{Empty `thebibliography' environment}}%

       \endlist}

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

 %

 %             This is fonotebk.xxx

 %

 % It redefines how footnotes will be typeset.

 %

 % Usage like described by Lamport.

 %

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

 \newdimen\footnoterulewidth

   \footnoterulewidth=1.666cm

 \def\footnoterule{\kern-3\p@

  \hrule width\footnoterulewidth

  \kern 2.6\p@}

 \newdimen\foot@parindent

 \foot@parindent 10.83\p@

 %\long\def\@makefntext#1{\parindent\foot@parindent\noindent

 %         \hbox to\foot@parindent{\hss$\m@th^{\@thefnmark}$\kern3pt}#1}

 \long\def\@makefntext#1{\@setpar{\@@par\@tempdima \hsize

          \advance\@tempdima-\foot@parindent\parshape\@ne\foot@parindent

          \@tempdima}\par

          \parindent \foot@parindent\noindent \hbox to \z@{%

          \hss\hss$^{\@thefnmark}$ }#1}

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

 %

 %             This is environ.tex

 %

 % It defines the environment for acknowledgements.

 %                            and noteadd

 %

 % Usage e.g.: \begin{acknowledgement}

 %                Text

 %             \end{acknowledgement}

 %

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

 % Define `abstract' environment

 \def\acknowledgement{\par\addvspace{17pt}\small\rm

 \trivlist\item[\hskip\labelsep

 {\it\ackname}]}

 \def\endacknowledgement{\endtrivlist\addvspace{6pt}}

 % Define `noteadd' environment

 \def\noteadd{\par\addvspace{17pt}\small\rm

 \trivlist\item[\hskip\labelsep

 {\it\noteaddname}]}

 \def\endnoteadd{\endtrivlist\addvspace{6pt}}

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

 %

 %             This is item.xxx

 %

 % It redefines the kind of label for "itemize", "enumerate"

 % and "description" environment. The last is extended by

 % an optional parameter. Its length is used for overall

 % indentation.

 %

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

 % labels of enumerate

 \def\labelenumi{\theenumi.}

 \def\labelenumii{\theenumii)}

 \def\theenumii{\alph{enumii}}

 \def\p@enumii{\theenumi}

 % labels of itemize

 \def\labelitemi{\bf --}

 \def\labelitemii{\bf --}

 \def\labelitemiii{$\bullet$}

 \def\labelitemiv{$\cdot$}

 % labels of description

 \def\descriptionlabel#1{\hspace\labelsep #1\hfil}

 % 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}}

 %

 % 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}}}

 %

 \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}}

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

 %

 %             This is index.xxx

 %

 % It defines miscelaneous addons used for the preparation

 % of an index.

 %

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

 \def\theindex{\@restonecoltrue\if@twocolumn\@restonecolfalse\fi

 \columnseprule \z@

 \columnsep 1cc\twocolumn[\@makeschapterhead{\indexname}%

     \csname indexstarthook\endcsname]%

     \@mkboth{\indexname}{\indexname}%

     \thispagestyle{empty}\parindent\z@

     \rightskip0\p@ plus 40\p@

     \parskip\z@ plus .3\p@\relax\let\item\@idxitem

     \def\,{\relax\ifmmode\mskip\thinmuskip

            \else\hskip0.2em\ignorespaces\fi}%

     \small\rm}

 \def\idxquad{\hskip 10\p@}% space that divides entry from number

 \def\@idxitem{\par\hangindent 10\p@}

 \def\subitem{\par\setbox0=\hbox{--\enspace}% second order

                 \noindent\hangindent\wd0\box0}% index entry

 \def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third

                 \noindent\hangindent\wd0\box0}% order index entry

 \def\endtheindex{\if@restonecol\onecolumn\else\clearpage\fi}

 \def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}

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

 %

 %             This is numberbk.xxx

 %

 % It redefines the kind of numeration for figures,

 % tables and equations. With style option "numart" they

 % are numbered with "no.", otherwise with "kapno.no."

 %

 % e.g. \documentstyle[numart]{article} gives a

 % numbering like in article.sty defined.

 %

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

 \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\ds@numart{\@numarttrue

   \@takefromreset{figure}{chapter}%

   \@takefromreset{table}{chapter}%

   \@takefromreset{equation}{chapter}%

   \def\thefigure{\@arabic\c@figure}%

   \def\thetable{\@arabic\c@table}%

   \def\theequation{\arabic{equation}}}

 %

 \def\thefigure{\thechapter.\@arabic\c@figure}

 \def\thetable{\thechapter.\@arabic\c@table}

 \def\theequation{\thechapter.\arabic{equation}}

 \@addtoreset{figure}{chapter}

 \@addtoreset{table}{chapter}

 \@addtoreset{equation}{chapter}

 \endinput