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%%% Document option for proceedings after Birkhaeuser
%%% Bengt M{\aa}rtensson bengt@mathematik.uni-Bremen.de g09e@dhbrrz41.bitnet
\typeout{Document Option `BIRK <10 June 1989>}
% For the title page:
%
% There is a new command \dedication, the command \date is ignored
\newfont{\titlefont}{cmr17} % Like Birkhauser wants it
\newfont{\authorfont}{cmr12}
\def\maketitle{\par
\begingroup
\def\thefootnote{\fnsymbol{footnote}}
\def\@makefnmark{\hbox
to 0pt{$^{\@thefnmark}$\hss}}
\if@twocolumn
\twocolumn[\@maketitle]
\else \newpage
\global\@topnum\z@ % Prevents figures from going at top of page.
\@maketitle \fi\thispagestyle{empty}\@thanks
\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.
\begin{center}
{\LARGE\titlefont \@title \par} % Title set in \LARGE size.
\vskip 4em % Vertical space after title.
{\large\authorfont % each author set in \large, in a
\lineskip .5em % tabular environment
\begin{tabular}[t]{c}\@author
\end{tabular}\par}
\vskip 2em % Vertical space after author.
\begin{flushright}
\normalsize\it\@dedication
\end{flushright}
% {\large \@date} % Date set in \large size.
\end{center}
\par
\vskip 1.5em} % Vertical space after date.
\def\abstract{\if@twocolumn
\section*{Abstract}
\else \small
\begin{center}
{\normalsize\bf Abstract\vspace{-.5em}\vspace{0pt}}
\end{center}
\small
\quotation\noindent\ignorespaces
\fi}
\def\endabstract{\if@twocolumn\else\endquotation\fi}
\def\dedication#1{\gdef\@dedication{#1}}
\gdef\@dedication{\mbox{}} %Default is empty
%%% For the end of the article:
\def\authorinfo#1{\par\bigskip\noindent\ignorespaces#1}
%%% Theorem- and Remark like environments (also see the file remark.sty)
%%% The following theorem-like environments are pre-defined: theorem,
%%% lemma, corollary, proposition.
%%% The following remark-like environments are pre-defined:
%%% definition, remark, example.
%%% There is also a proof environement and an acknowledgement
%%% environment.
\input remark.sty
\def\@beginremark#1#2{\trivlist \item[\hskip \labelsep{\it #1\ #2.\ }]}
\def\@opargbeginremark#1#2#3{\trivlist
\item[\hskip \labelsep{\it #1\ #2\ (#3).\ }]}
\newremark{definition}{Definition}
\newremark{remark}{Remark}
\newremark{example}[remark]{Example}
% We put periods after the number, as opposed to standard LaTeX.
\def\@begintheorem#1#2{\it \trivlist \item[\hskip \labelsep{\bf #1\ #2.\ }]}
\def\@opargbegintheorem#1#2#3{\it \trivlist
\item[\hskip \labelsep{\bf #1\ #2.\ (#3)\ }]}
\def\@endtheorem{\endtrivlist}
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\def\@rectangle {\hbox{\vrule \vbox to 0.4em
{\hrule\hbox to 0.4em{\hfil}\vfil\hrule}\vrule}}
\xdef\@endgadget #1{{\unskip\nobreak\hfil\penalty50\hskip1em\hbox{}\nobreak
\hfil#1\parfillskip=0pt\finalhyphendemerits=0\par}}
%
%\def\@qedsymbol{\@rectangle}
\def\@qedsymbol{Q.E.D.}
\def\qed{\@endgadget{\@qedsymbol}}
%
\newenvironment{declaration}[1]{\trivlist \item[\hskip \labelsep{\bf #1 }]\ignorespaces}{\endtrivlist}
%\newenvironment{definition}{\begin{declaration}{Definition}}{\end{declaration}}
\newenvironment{proofof}[1]{\begin{declaration}{#1}}{\qed\end{declaration}}
\newenvironment{proof}{\begin{proofof}{Proof.}}{\end{proofof}}
%
\newenvironment{acknowledgement}{\trivlist \item[\hskip \labelsep{\it Acknowledgement:\quad}]\ignorespaces}{\endtrivlist}
% Somewhat changed appearance
\def\thebibliography#1{\begin{center}
{REFERENCES\vspace{-.5em}\vspace{0pt}}
\end{center}
\list{[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}\leftmargin\labelwidth
\advance\leftmargin\labelsep
\usecounter{enumi}}
\def\newblock{\hskip .11em plus .33em minus .07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax}
\ds@twoside % Left- and right heads different
\def\@threepart#1#2#3{\rlap{#1} \hfil {#2} \hfil \llap{#3}}
\def\@oddfoot{}\def\@evenfoot{}
\def\runningtitle#1#2{\def\@oddhead{\@threepart{}{\uppercase{#2}}{\thepage}}
\def\@evenhead{\@threepart{\thepage}{\uppercase{#1}}{}}}
%%% Measures the way Birkhauser wants it
\textheight = 42\baselineskip
\advance\textheight by \topskip
\textwidth 4.5in
\let\footnotesize=\normalsize
\def\footnoterule{\kern-3\p@
\hrule width 2in%.4\columnwidth
\kern 2.6\p@} % The \hrule has default height of .4pt .
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