%% 
%% This is file `zsb.sty', generated on <1993/7/12> 
%% with the docstrip utility (2.0r).
%% 
%% The original source files were:
%% 
%% zsb.doc  (with options: `style,zsbzeich')
%% 
%% IMPORTANT NOTICE:
%% You are not allowed to distribute this file.
%% For distribution of the original source see
%% the copyright notice in the file zsb.doc .
%% 
\def\fileversion{v3.2f}
\def\filedate{93/06/16}
\def\docdate {93/06/16}

%% \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         \~}
%%
\@ifundefined{ALLMAT}{}{\endinput}
\typeout{^^J
  Dokument Stil Option 'zsb', Version \fileversion\space
  vom \filedate.^^J
  FernUniversit\string"at Hagen,^^J
  Zentrales Schreibb\string"uro Mathematik, Andreas Schrell.^^J}
\def\leerz{\par
 \vspace{\baselinestretch\baselineskip}}
\let\lz=\leerz
\def\nz{\par}
\let\fuss=\footnote
\def\doppelindex#1#2{{#1\atop #2}}
\clubpenalty=10000 \widowpenalty=10000
\@beginparpenalty=1000
\@itempenalty=-100
\setlength{\normallineskip}{3pt} \setlength{\normallineskiplimit}{3pt}
\normalbaselines
\frenchspacing
\long\def\rahmen#1{\par\addpenalty{10000}\addvspace{6pt}
 \hbox{\hglue\@totalleftmargin
 \hbox to \linewidth{\advance\linewidth by -8mm
 \hss\fboxsep=-\fboxrule
 \fbox{\hglue4mm\parbox{\linewidth}{\vglue3mm\relax
 #1\vglue4mm}\hglue4mm}\hss}}\par
 \addvspace{6pt}}
\def\matherahmen#1{\rahmen{\abovedisplayskip=0pt
 \belowdisplayskip=0pt
 \topsep=0pt\partopsep=0pt
 \[#1\]}}
\newcount\@teilnumdepth \@teilnumdepth = 0
\@definecounter{teilnumi}
\@definecounter{teilnumii}
\@definecounter{teilnumiii}
\def\theteilnumi{\alph{teilnumi}}
\def\p@enumi{\theteilnumi\theteilnumi)}
\def\labelteilnumi{\theteilnumi)}
\def\theteilnumii{\roman{teilnumii}}
\def\p@enumii{(\theteilnumii\theteilnumii)}
\def\labelteilnumii{(\theteilnumii)}
\def\theteilnumiii{\arabic{teilnumiii}}
\def\p@enumiii{\theteilnumiii\theteilnumiii.}
\def\labelteilnumiii{\theteilnumiii.}
\def\teile{\ifnum \@teilnumdepth >2 \@toodeep\else
  \advance\@teilnumdepth \@ne
  \edef\@teilnumctr{teilnum\romannumeral\the\@teilnumdepth}%
  \list{\csname label\@teilnumctr\endcsname}%
  {\usecounter{\@teilnumctr}\leftmargin=8mm\labelsep=1mm
  \labelwidth=7mm \def\makelabel##1{{##1}\hss}}\fi}
\let\endteile=\endlist
\long\def\marg#1{\marginpar{\footnotesize #1}}
\def\DCfamily{dcr}
\def\Mathsf#1{\mathchoice
{\hbox{\normalsize\Msf #1}}%
  {\hbox{\normalsize\Msf #1}}%
  {\hbox{\scriptsize\Msf #1}}%
  {\hbox{\tiny\ifx\undefined\selectfont\else\Msf\fi #1}}}
\ifx\undefined\selectfont
 \let\mathrm\rm
 \let\mathsf\Mathsf
\else
 \ifx\mathsf\undefined
  \newmathalphabet{\mathsf}
  \ifx\rmdefault\DCfamily
    \addtoversion{normal}{\mathsf}{dcss}{m}{n}
    \addtoversion{bold}{\mathsf}{dcss}{bx}{n}
  \else
    \addtoversion{normal}{\mathsf}{cmss}{m}{n}
    \addtoversion{bold}{\mathsf}{cmss}{bx}{n}
  \fi
 \fi
\fi
\let\mr\mathrm
\def\Mengenzeichen#1{\def\temp{#1}
 \ifx\temp\empty
   \def\Mengen{} \def\Msf{}
 \else
   \expandafter\def\expandafter\Mengen{\csname math#1\endcsname}%
   \expandafter\def\expandafter\Msf{\csname #1\endcsname}%
 \fi}
\Mengenzeichen{sf}
\def\IB{{\Mengen{I\kern-.09em B}}}
\def\IC{{\Mathsf{C\setbox0\hbox{C}\kern-.3\wd0
 \hbox to 0pt{\hss I}\kern.3\wd0}}}
\def\ID{{\Mengen{I\kern-.09em D}}}
\def\IE{{\Mengen{I\kern-.09em E}}}
\def\IF{{\Mengen{I\kern-.09em F}}}
\def\IH{{\Mengen{I\kern-.09em H}}}
\def\II{{\Mengen{I\kern-.09em I}}}
\def\IK{{\Mengen{I\kern-.09em K}}}
\def\IL{{\Mengen{I\kern-.09em L}}}
\def\IM{{\Mengen{I\kern-.09em M}}}
\def\IN{{\Mengen{I\kern-.09em N}}}
\def\IO{{\Mathsf{O\setbox0\hbox{O}\kern-.36\wd0
 \hbox to 0pt{\hss I}\kern.36\wd0}}}
\def\IP{{\Mengen{I\kern-.09em P}}}
\def\IQ{{\Mathsf{Q\setbox0\hbox{Q}\kern-.36\wd0
 \hbox to 0pt{\hss I}\kern.36\wd0}}}
\def\IR{{\Mengen{I\kern-.09em R}}}
\def\IT{{\Mengen{T\setbox0\hbox{T}\kern-.68\wd0 T}}}
\def\IZ{{\Mengen{Z\setbox0\hbox{Z}\kern-.65\wd0 Z}}}
\let\oldOE\OE
\def\OE{{\ifmmode\Mathsf{\oldOE}\else\oldOE\fi}}
\delimiterfactor=1080 \delimitershortfall=0pt
\let\Left\left
\let\Right\right
\def\eqnarray{\stepcounter{equation}\let\@currentlabel\theequation
 \global\@eqnswtrue\m@th
 \global\@eqcnt\z@\tabskip\@centering\let\\\@eqncr
 $$\halign to\displaywidth\bgroup\@eqnsel\hskip\@centering
  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
  \hfil${}##{}$\hfil
  &\global\@eqcnt\tw@
  $\displaystyle\tabskip\z@{##}$\hfil
  \tabskip\@centering&\llap{##}\tabskip\z@\cr}
\let\old@cases\cases
\def\cases{\let\\\@eqnacr\old@cases}
\let\endcases\undefined
\ifx\rmdefault\DCfamily
  \input {german3.sty}
\else
  \input {german.sty}
\fi
\def\rundkl#1{\left(#1\right)}
\def\eckkl#1{\left[#1\right]}
\def\mengkl#1{\left\{#1\right\}}
\def\betrag#1{\left\vert#1\right\vert}
\def\norm#1{\left\Vert#1\right\Vert}
\def\spitzkl#1{\left<#1\right>}
\let\Rundkl\rundkl \let\Eckkl\eckkl \let\Mengkl\mengkl
\let\Betrag\betrag \let\Norm\norm \let\Spitzkl\spitzkl
\def@dqmacro{(}{\relax\ifmmode\left(\else(\fi}{\left(}
\def@dqmacro{)}{\relax\ifmmode\right)\else)\fi}{\right)}
\def@dqmacro{[}{\relax\ifmmode\left[\else[\fi}{\left[}
\def@dqmacro{]}{\relax\ifmmode\right]\else]\fi}{\right]}
\def@dqmacro{\{}{\relax\ifmmode\left\{\else\{\fi}{\left\{}
\def@dqmacro{\}}{\relax\ifmmode\right\}\else\}\fi}{\right\}}
\def@dqmacro{<}{\relax\ifmmode\left<\else\flqq{}\fi}{\left<}
\def@dqmacro{>}{\relax\ifmmode\right>\else\frqq{}\fi}{\right>}
\def\downparentfill{$\m@th
   \braceld\leaders\vrule\hfill\bracerd$}
\def\overparent#1{\mathop{\vbox{\ialign{##\crcr
   \downparentfill\crcr\noalign{\kern3pt\nointerlineskip}
   $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits}
\let\widebow\overparent
\def\upparentfill{$\m@th
   \bracelu\leaders\vrule\hfill\braceru$}
\def\underparent#1{\mathop{\vtop{\ialign{##\crcr
   $\hfil\displaystyle{#1}\hfil$\crcr
   \noalign{\kern3pt\nointerlineskip}\upparentfill\crcr}}}\limits}
\let\@oldslash/
\def\makeslashactive{\catcode`\/=\active}
\def\makeslashother{\catcode`\/=12}
\def\@overslash{\ifmmode\over\else\@oldslash\fi}
{\catcode`\/=\active
\gdef\quickover{\makeslashactive
  \let/\@overslash}}
\gdef\noquickover{\makeslashother}
\def\nomathbreaks{\relpenalty=10000\binoppenalty=10000
  \ifx\operator@font\undefined
    \let\operator@font\rm
  \fi
  \def\bmod{\mskip-\medmuskip\mkern5mu \mathbin{\operator@font mod}
    \mkern5mu\mskip-\medmuskip}
  \def\pmod##1{\mkern18mu({\operator@font mod}\,\,##1)}}
\def\SRelation#1#2#3{\def#1{\mathrel{\vcenter{\baselineskip=0pt
   \lineskiplimit=0ex\lineskip=0ex
   \def\\{\cr\noalign{\vskip#3ex\relax}}%
   \ialign{\hfil\baselineskip=0pt
   $\vcenter{\hbox{$\m@th####$}}$\hfil\crcr#2\crcr}}}}}
\def\vquad{\mathchoice{\quad}{\;}{\,}{\,}}
\def\gdw{\vquad\Leftrightarrow\vquad}
\def\folgt{\vquad\Rightarrow\vquad}
\def\lfolgt{\vquad\Leftarrow\vquad}
\def\integral{\int\limits}
\def\teilt{\mathbin{\vert}}
\def\teiltn{\mathbin{\midbox{/}{\vert}}}
\def\midbox#1#2{\setbox0\hbox{$#1$}\setbox1\hbox{$#2$}%
  \ifdim\wd0<\wd1\setbox2\copy0\setbox0\copy1\setbox1\copy2\fi
  \copy0\kern-0.5\wd0\hbox to 0pt{\hss\copy1\hss}\kern0.5\wd0}
\def\dachbin#1{\mathbin{\widehat{#1}}}
\def\dachrel#1{\mathrel{\widehat{#1}}}
\def\seigleich{\buildrel!\over=}
\let\punktgleich\doteq
\ifx\undefined\Doteq
  \SRelation\dpunktgleich{.\\=\\.}{-0.2}
\else \let\dpunktgleich\Doteq \fi
\SRelation\dLeftrightarrow{.\\\Leftrightarrow\\.}{0.2}
\SRelation\dLongleftrightarrow{.\\\Longleftrightarrow\\.}{-0.1}
\def\defgleich{\buildrel\mathrm{def}\over=}
\def\entspricht{\dachrel=}
\def\paranorm#1{\mathopen{!}#1\mathclose{!}} % Klammer: !...!
\def\bigsqcap{\mathop{\vcenter{\hbox{\Large$\sqcap$}}}}
\def\bbigsqcap{\mathop{\vcenter{\hbox{\LARGE$\sqcap$}}}}
\def\bbigsqcup{\mathop{\vcenter{\hbox{\LARGE$\sqcup$}}}}
\def\bbigcap{\mathop{\vcenter{\hbox{\LARGE$\cap$}}}}
\def\bbigcup{\mathop{\vcenter{\hbox{\LARGE$\cup$}}}}
\def\Text#1{\quad\hbox{#1}\quad}
\def\fini{\nopagebreak \hspace{1in}
 \hspace*{\fill} $\Box$ \par}
\def\finid{\nopagebreak \hspace{1in}
 \hspace*{\fill} $\triangle$ \par}
\def\vek#1{\overrightarrow{#1}}
\let\disp\displaystyle \let\dps\disp
\def\0{\phantom{0}}
\def\E#1{{\,{\ifmmode\mathrm{#1}\else$\mathrm{#1}$\fi}}}
\def\C#1{\ifmmode\cdot10^{#1}\else${}\cdot10^{#1}$\fi}
\def\Bruch#1#2{\vphantom{/}^{#1}\!/\!_{#2}}
\def\Ourel#1#2#3{\mathrel{
 \mathop{\vcenter{\vglue2pt\hbox{$#2$}\vglue2pt}}%
 \limits_{\Relst{#3}}^{\Relst{#1}}}}
\def\ourel#1#2#3{\mathrel{
 \mathop{\vcenter{\vglue2pt\hbox{$#2$}\vglue2pt}}%
 \limits_{\relst{#3}}^{\relst{#1}}}}
\def\relst#1{\vbox{\normalbaselines\baselineskip=0.6\baselineskip
 {\let\\\cr\halign{\hfil$\scriptstyle ##$\hfil\cr#1\crcr}}}}
\def\Relst#1{\vbox{\normalbaselines\baselineskip=0.8\baselineskip
 {\let\\\cr\halign{\hfil$##$\hfil\cr#1\crcr}}}}
{\catcode `\|=0 \catcode `|\=12
 |gdef|BS{\}}
\def\newmop#1{%
  \expandafter\ifx\csname #1\endcsname\relax
   \else \typeout{!-------> Der Befehl \BS#1 wurde umdefiniert.^^J}\fi
  \expandafter
   \gdef\csname #1\endcsname{\mathop{\mathrm{#1}}}
}
\def\newmopnl#1{%
  \expandafter\ifx\csname #1\endcsname\relax
   \else
   \typeout{!-------> Der Befehl \BS#1 wurde umdefiniert.^^J}\fi
  \expandafter
   \gdef\csname #1\endcsname{\mathop{\mathrm{#1}}\nolimits}
}
\newmopnl{arcsinh} \newmopnl{arccosh} \newmopnl{arctanh} \newmopnl{arccoth}
\newmopnl{sinc}    \newmopnl{card}    \newmopnl{sign}    \newmopnl{codim}
\newmopnl{Kern}    \newmopnl{Bild}    \newmopnl{Rang}    \newmopnl{Mat}
\newmopnl{kgV}     \newmopnl{ggT}     \newmopnl{Fix}     \newmopnl{lub}
\newmopnl{rang}    \newmopnl{arsinh}  \newmopnl{grad}    \newmopnl{Grad}
\newmopnl{Res}     \newmopnl{ld}      \newmopnl{Eig}     \newmopnl{Spur}
\newmopnl{Sp}      \newmopnl{Aut}     \newmopnl{ord}     \newmopnl{Hom}
\newmopnl{End}     \newmopnl{Id}      \newmopnl{id}      \newmopnl{diag}
\newmopnl{cond}    \newmopnl{arccot}  \newmopnl{arctg}   \newmopnl{res}
\newmopnl{Mer}     \newmopnl{ctg}
\def\Real{\mathop{\mathrm{Re}}}
\def\Imag{\mathop{\mathrm{Im}}}
\def\i{{\mathrm i}} \def\e{{\mathrm e}}
\def\d{\,{\mathrm d}}
\def\mod{\mathbin{\mathrm{mod}}}
\def\const{\mathord{\mathrm{const}}}
\def\obda{o.\,B.\,d.\,A.}
\def\Obda{O.\,B.\,d.\,A.}
\def\gilt{:\;}
\def\lra{\hbox to 15mm{\rightarrowfill}}
\def\lla{\hbox to 15mm{\leftarrowfill}}
\def\lda{\mathord{\left\downarrow\vcenter to 15mm{\vss}\right.}}
\def\lua{\mathord{\left\uparrow\vcenter to 15mm{\vss}\right.}}
\def\LRA#1#2{\mathop{\lra}\limits^{\textstyle #1}_{\textstyle #2}}
\def\LLA#1#2{\mathop{\lla}\limits^{\textstyle #1}_{\textstyle #2}}
\def\LDA#1#2{\llap{$#1$}\lda\rlap{$#2$}}
\def\LUA#1#2{\llap{$#1$}\lua\rlap{$#2$}}
\def\Nullor{{\setbox0\hbox{0}%
 \setbox1\vbox to \ht0{\hbox to \wd0{\hss\LARGE0}\vss}%
 \dp1=0pt\box1}}
\def\Nullol{{\setbox0\hbox{0}%
 \setbox1\vbox to \ht0{\hbox to \wd0{\LARGE0\hss}\vss}%
 \dp1=0pt\box1}}
\def\Nullur{{\setbox0\hbox{0}%
 \vbox to 0pt{\vss\hbox to \wd0{\hss\LARGE0}}}}
\def\Nullul{{\setbox0\hbox{0}%
 \vbox to 0pt{\vss\hbox to \wd0{\LARGE0\hss}}}}
\def\rdots{\mathinner{\mkern1mu\raise\p@\vbox{\kern7\p@\hbox{.}}\mkern2mu
    \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\mkern1mu}}
\newcount\AMz \newcount\AMs
\def\ALLMAT#1#2{\@ifnextchar[{\ALLMATf{#1}{#2}}{\ALLMATf{#1}{#2}[]}}
\def\ALLMATf#1#2[#3]#4{\AMz=0\gdef\Ematrixx{}
 \loop \ifnum\AMz<#1
  \advance\AMz by 1\AMs=0
  {\loop \ifnum\AMs<#2
     \advance\AMs by 1
     #3
     \xdef\Ematrixx{\Ematrixx
     #4 \ifnum\AMs<#2& \else\fi}
   \repeat}
   \ifnum\AMz<#1\xdef\Ematrixx{\Ematrixx\cr}\fi
 \repeat \left\AML\matrix{\Ematrixx}\right\AMR}
\def\ALLMATL#1{\let\AML=#1} \ALLMATL(
\def\ALLMATR#1{\let\AMR=#1} \ALLMATR)
\def\IDMAT#1{\ALLMAT{#1}{#1}{\ifnum\AMz=\AMs 1\else0\fi}}
\def\NULLMAT#1#2{\ALLMAT{#1}{#2}0}
\def\EINSMAT#1#2{\ALLMAT{#1}{#2}1}
\def\theequation{\arabic{equation}}
\def\nextfnum#1{\gdef\theequation{$#1$}}
\def\withnumber{\let\nonumber\relax\global\@eqnswtrue}
\def\Frei#1{\[ \vbox to #1{\vss} \]}
\def\matrix#1{{\let\\\@eqnacr %\@eqnswfalse
\null\,\vcenter{\normalbaselines\m@th
    \ialign{\hfil$##$\hfil&&\quad\hfil$##$\hfil\crcr
      \mathstrut\crcr\noalign{\kern-\baselineskip}
      #1\crcr\mathstrut\crcr\noalign{\kern-\baselineskip}}}\,}}
\def\Matrix#1{{\let\\\@eqnacr %\@eqnswfalse
\null\,\vcenter{\normalbaselines\m@th
    \ialign{\hfil\hbox{$\disp{##}$}\hfil&&\quad
    \hfil\hbox{$\disp{##}$}\hfil\crcr
      \mathstrut\crcr\noalign{\kern-\baselineskip}
      #1\crcr\mathstrut\crcr\noalign{\kern-\baselineskip}}}\,}}
\def\Pmatrix#1{{\left(\Matrix{#1}\right)}}
\def\@eqnacr{{\ifnum0=`}\fi\@ifstar{\@yeqnacr}{\@yeqnacr}}
\def\@yeqnacr{\@ifnextchar [{\@xeqnacr}{\@xeqnacr[\z@]}}
\def\@xeqnacr[#1]{\ifnum0=`{\fi}\cr \noalign{\vskip\jot\vskip #1\relax}}
\def\multieqn#1 {\def\@eqncr{\nonumber\@seqncr}%
 \def\@@eqncr{\global\@eqnswtrue\global\@eqcnt\z@\cr}%
 \stepcounter{equation}\let\@currentlabel\theequation
 \m@th\tabskip\@centering\let\\\@eqncr
 $$\halign to\displaywidth\bgroup\@eqnsel\hskip\@centering
  $\displaystyle\tabskip\z@{##}$&
  \hfil${}##{}$\hfil&
  $\displaystyle\tabskip\z@{##}$\hfil
  \tabskip\@centering&&
  \hfil$\displaystyle\tabskip\z@{##}$&
  \hfil${}##{}$\hfil&
  $\displaystyle{##}$\hfil
  \tabskip\@centering\cr}
\def\endmultieqn{\nonumber\@@eqncr\egroup
      \global\advance\c@equation\m@ne$$\global\@ignoretrue}
\def\lgs{\def\@LGS{\lineskip\z@\baselineskip\z@}%
 \@ifnextchar[{\LGSf}{\LGSf[r]}}
\def\LGS{\let\@LGS\relax\@ifnextchar[{\LGSf}{\LGSf[r]}}
\def\LGSf[#1]{\vcenter\bgroup\openup\jot\m@th
 \setbox\@arstrutbox\hbox{\vrule
     \@height\arraystretch \ht\strutbox
     \@depth\arraystretch \dp\strutbox
     \@width\z@}\@LGS
 \let\\\@arraycr
 \ialign\bgroup&\strut
  \if #1l\else\hfil\fi  % c und r
  $\disp{}##{}$%
  \if #1r\else\hfil\fi  % c und l
  \crcr}
\def\endLGS{\crcr\egroup\egroup}
\def\endlgs{\crcr\egroup\egroup}
\endinput
%% 
%% End of file `zsb.sty'.