%% 
%% This is file `deleq.sty',
%% generated with the docstrip utility.
%% 
%% The original source files were:
%% 
%% deleq.dtx  (with options: `paketkod')
%% 
%% Copyright (c) 1994-97 by Mats Dahlgren <matsd@homenet.se>. 
%% All rights reserved. See the file `deleq.ins' for information 
%% on how you may (re-)distribute the `deleq' package files. 
%% 
\NeedsTeXFormat{LaTeX2e}[1995/06/01]
\ProvidesPackage{deleq}[1997/02/22 v.4.41 Partial equation numbering]
\def\deleqver{\textsf{deleq} version 4.41 (February~22, 1997)}
\newcounter{deleq}[equation]
\newcounter{Deleq}
\newlength{\jotbaseline}
\renewcommand{\thedeleq}{\ensuremath{\theequation\mathrm{\alph{deleq}}}}
\renewcommand{\theDeleq}{\ensuremath{\mathrm{\alph{Deleq}}}}
\def\@deleqnnum{(\thedeleq)}
\def\@deleqrnum#1{(\ref{#1}\theDeleq)}
\def\@eqrnum#1{(\ref{#1})}
\def\@deqncr{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
    \@ydeqncr}{\global\@eqpen\interdisplaylinepenalty \@ydeqncr}}
\def\@ydeqncr{\@ifnextchar [{\@xdeqncr}{\@xdeqncr[\z@]}}
\def\@xdeqncr[#1]{\ifnum0=`{\fi}\@@deqncr
   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
\def\@@deqncr{\let\@tempa\relax
    \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
      \else \def\@tempa{&}\fi
     \@tempa \if@eqnsw\@deleqnnum\stepcounter{deleq}\fi
     \global\@eqnswtrue\global\@eqcnt\z@\cr}
\newcommand{\@xeqrcr}[2]{\ifnum0=`{\fi}\@@eqrcr{#2}
   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
\def\@@eqrcr#1{\let\@tempa\relax
    \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
      \else \def\@tempa{&}\fi
     \@tempa \if@eqnsw\@eqrnum{#1}\fi
     \global\@eqnswtrue\global\@eqcnt\z@\cr}
\newcommand{\@xdeqrcr}[2]{\ifnum0=`{\fi}\@@deqrcr{#2}
   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
\def\@@deqrcr#1{\let\@tempa\relax
    \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
      \else \def\@tempa{&}\fi
     \@tempa \if@eqnsw\@deleqrnum{#1}\fi
     \global\@eqnswtrue\global\@eqcnt\z@\cr}
\def\@deqrarcr{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
    \@ydeqrarcr}{\global\@eqpen\interdisplaylinepenalty \@ydeqrarcr}}
\def\@ydeqrarcr{\@ifnextchar [{\@xdeqrarcr}{\@xdeqrarcr[\z@]}}
\def\@xdeqrarcr[#1]{\ifnum0=`{\fi}\@@deqrarcr
   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
\def\@@deqrarcr{\let\@tempa\relax
    \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
      \else \def\@tempa{&}\fi
     \@tempa \global\@eqnswtrue\global\@eqcnt\z@\cr}
\newcommand{\nydeleqno}{\stepcounter{equation}\stepcounter{deleq}
  \let\@currentlabel\thedeleq \eqno (\thedeleq)}
\newcommand{\deleqno}{\refstepcounter{deleq} \let\@currentlabel\thedeleq
  \eqno (\thedeleq)}
\newcommand{\reqno}[1]{\setcounter{Deleq}{-1}\refstepcounter{Deleq}
   \eqno (\ref{#1}) }
\newcommand{\rdeqno}[1]{\refstepcounter{Deleq}
   \eqno (\ref{#1}\theDeleq)}
\newcommand{\rndeqno}[1]{\setcounter{Deleq}{0}\refstepcounter{Deleq}
   \eqno (\ref{#1}\theDeleq)}
\newcommand{\eqreqno}[2][0pt]{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
    \@xeqrcr{#1}{#2}}{\global\@eqpen\interdisplaylinepenalty
    \@xeqrcr{#1}{#2}}}
\newcommand{\deqreqno}[2][0pt]{\setcounter{Deleq}{0}\refstepcounter{Deleq}
    {\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
    \@xdeqrcr{#1}{#2}}{\global\@eqpen\interdisplaylinepenalty
    \@xdeqrcr{#1}{#2}}}
\newcommand{\ddeqreqno}[2][0pt]{\refstepcounter{Deleq}
    {\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
    \@xdeqrcr{#1}{#2}}{\global\@eqpen\interdisplaylinepenalty
    \@xdeqrcr{#1}{#2}}}
\newcommand{\arrlabel}[1]{\let\@currentlabel\theequation \label{#1}}
\newcommand{\nydeqno}{\stepcounter{equation}\stepcounter{deleq}}
\newcommand{\heqno}{\stepcounter{equation}}
\def\where{\let\@tempa\relax \def\@tempa{& & &}
     \@tempa {\hbox to .01\p@{}\rlap{\hskip -\displaywidth where}}\cr}
\def\rem#1{\let\@tempa\relax \def\@tempa{& & &}
     \@tempa {\hbox to .01\p@{}\rlap{\hskip -\displaywidth #1}}\cr}
\def\@dlqnv{\setlength{\jotbaseline}{\baselineskip}%
  \addtolength{\jotbaseline}{\jot}  \global\@eqnswtrue\m@th
  \global\@eqcnt\z@\tabskip\@centering
  $$\halign to\displaywidth\bgroup\@eqnsel\hskip\@centering
  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
  \hskip 2\arraycolsep \hfil${##}$\hfil
  &\global\@eqcnt\tw@ \hskip 2\arraycolsep
$\displaystyle\tabskip\z@{##}$\hfil
   \tabskip\@centering&\llap{##}\tabskip\z@\cr}
\newenvironment{deqarr}{\stepcounter{equation}\stepcounter{deleq}
  \let\@currentlabel\thedeleq  \let\\\@deqncr  \@dlqnv}
{\@@deqncr\egroup
      \global\advance\c@deleq\m@ne$$\global\@ignoretrue}
\newenvironment{ddeqar}{\stepcounter{deleq}
  \let\@currentlabel\thedeleq  \let\\\@deqncr  \@dlqnv}
{\enddeqarr}
\newenvironment{deqn}{$$\refstepcounter{equation}\stepcounter{deleq}
   \let\@currentlabel\thedeleq}
  {\eqno \hbox{\@deleqnnum} $$\global\@ignoretrue}
\newenvironment{ddeqn}{$$\refstepcounter{deleq} \let\@currentlabel\thedeleq}
  {\enddeqn}
\newenvironment{deqrarr}{\let\@currentlabel\theDeleq
  \let\\\@deqrarcr   \@dlqnv}
{\@deqrarcr   \egroup  $$\global\@ignoretrue}
\newif\ifl@qn \l@qnfalse
\DeclareOption{leqno}{%
\global\l@qntrue%
\renewcommand{\@deleqnnum}{\hbox to .01\p@{}\rlap{\reset@font\rmfamily
  \hskip -\displaywidth(\thedeleq)}}
\renewcommand{\nydeleqno}{\stepcounter{equation}\stepcounter{deleq}
  \let\@currentlabel\thedeleq \leqno (\thedeleq)}
\renewcommand{\deleqno}{\refstepcounter{deleq} \let\@currentlabel\thedeleq
  \leqno (\thedeleq)}
\renewcommand{\reqno}[1]{\setcounter{Deleq}{-1}\refstepcounter{Deleq}
   \leqno (\ref{#1}) }
\renewcommand{\rdeqno}[1]{\refstepcounter{Deleq}
   \leqno (\ref{#1}\theDeleq)}
\renewcommand{\rndeqno}[1]{\setcounter{Deleq}{0}\refstepcounter{Deleq}
   \leqno (\ref{#1}\theDeleq)}
\renewcommand{\@eqrnum}[1]{\hbox to .01\p@{}\rlap{\reset@font\rmfamily
        \hskip -\displaywidth(\ref{#1})}}
\renewcommand{\@deleqrnum}[1]{\hbox to .01\p@{}\rlap{\reset@font\rmfamily
        \hskip -\displaywidth(\ref{#1}\theDeleq)}}
  }
\DeclareOption{fleqn}{%
\ifl@qn \AtBeginDocument{\addtolength{\mathindent}{1em}} \fi
\renewenvironment{deqn}%
  {\@beginparpenalty\predisplaypenalty
   \@endparpenalty\postdisplaypenalty
   \refstepcounter{equation}\stepcounter{deleq}
   \let\@currentlabel\thedeleq%
   \trivlist \item[]\leavevmode
     \hb@xt@\linewidth\bgroup $\m@th% $
     \displaystyle
     \hskip\mathindent}%
    {$\hfil % $
     \displaywidth\linewidth\hbox{\@deleqnnum}%
     \egroup
   \endtrivlist}
\renewenvironment{ddeqn}%
  {\@beginparpenalty\predisplaypenalty
   \@endparpenalty\postdisplaypenalty
   \refstepcounter{deleq}
   \let\@currentlabel\thedeleq%
   \trivlist \item[]\leavevmode
     \hb@xt@\linewidth\bgroup $\m@th% $
     \displaystyle
     \hskip\mathindent}%
    {\enddeqn}
\renewcommand{\@dlqnv}{%
  \setlength{\jotbaseline}{\baselineskip}
  \addtolength{\jotbaseline}{\jot}
  \global\@eqcnt\z@
  \tabskip\mathindent
  \setlength\abovedisplayskip{\topsep}%
  \ifvmode
    \addtolength\abovedisplayskip{\partopsep}%
  \fi
  \addtolength\abovedisplayskip{\parskip}%
  \setlength\belowdisplayskip{\abovedisplayskip}%
  \setlength\belowdisplayshortskip{\abovedisplayskip}%
  \setlength\abovedisplayshortskip{\abovedisplayskip}%
  $$\everycr{}\halign to\linewidth% $$
  \bgroup
    \hskip\@centering
    $\displaystyle\tabskip\z@skip{##}$\@eqnsel&%
    \global\@eqcnt\@ne \hskip \tw@\arraycolsep \hfil${##}$\hfil&%
    \global\@eqcnt\tw@ \hskip \tw@\arraycolsep
    $\displaystyle{##}$\hfil \tabskip\@centering&%
    \global\@eqcnt\thr@@
    \hb@xt@\z@\bgroup\hss##\egroup\tabskip\z@skip\cr}
}
\DeclareOption*{\OptionNotUsed}
\ProcessOptions
\endinput
%% 
%% End of file `deleq.sty'.