%% amsart10.sty, temporary patch version 1.1x, 10-Mar-1994
%% American Mathematical Society, Technical Support Department,
%%   P. O. Box 6248, Providence, RI 02940, USA
%% 401-455-4080, 800-321-4AMS
%% tech-support@math.ams.org
%%
\expandafter\ifx\csname amsart10.sty\endcsname\relax
\expandafter\def\csname amsart10.sty\endcsname{}
\else\message{---already loaded}\endinput\fi
\def\filename{amsart10.sty}
\def\fileversion{1.1x} \def\filedate{10-Mar-1994}
\if@article \immediate\write16{%
AMS-LaTeX option `\filename' (\fileversion, \filedate)}
\fi
%%% end of file header
\def\normalsize{\@setsize\normalsize{12\p@}\xpt\@xpt
  \abovedisplayskip 6\p@ \@plus 6\p@
  \belowdisplayskip \abovedisplayskip
  \abovedisplayshortskip \z@ \@plus 6\p@
  \belowdisplayshortskip 3\p@ \@plus 6\p@
  \let\@listi\@listI}
\let\@normalsize\normalsize %&MJD
\def\small{\footnotesize}
\def\footnotesize{\@setsize\footnotesize{10\p@}\viiipt\@viiipt
  \abovedisplayskip 5\p@ \@plus 5\p@
  \belowdisplayskip \abovedisplayskip
  \abovedisplayshortskip \z@ \@plus 5\p@
  \belowdisplayshortskip 3\p@ \@plus 5\p@
  \def\@listi{\topsep \smallskipamount \parsep \z@ \itemsep \z@}}
\def\scriptsize{\@setsize\scriptsize{8\p@}\viipt\@viipt}
\def\tiny{\@setsize\tiny{6\p@}\vpt\@vpt}

\def\large{\@setsize\large{14\p@}\xiipt\@xiipt}
\def\Large{\large}
\def\LARGE{\large}
\def\huge{\large}
\def\Huge{\large}

\normalsize

\lineskip=1pt \normallineskip=1pt \normallineskiplimit=1pt
\def\baselinestretch{1}
\headheight=8pt \headsep=16pt \footskip=24pt
\textheight=50pc \topskip=10pt
\textwidth=30pc
\columnsep=10pt \columnseprule=0pt

\marginparwidth=90pt
\marginparsep=11pt

\setbox0=\hbox{\footnotesize M$^1$}
\footnotesep=\ht0
\skip\footins=7pt plus11pt
\skip\@mpfootins=\skip\footins

\fboxsep=3pt \fboxrule=.4pt

\arrayrulewidth=.4pt    \doublerulesep=2pt
\labelsep=5pt           \arraycolsep=\labelsep
\tabcolsep=\labelsep    \tabbingsep=\labelsep

\floatsep=6pt plus9pt       \dblfloatsep=6pt plus9pt
\textfloatsep=6pt plus9pt \dbltextfloatsep=12pt plus9pt
\intextsep=6pt plus9pt

\@fptop=0pt plus1fil        \@dblfptop=0pt plus1fil
\@fpsep=8pt plus2fil \@dblfpsep=8pt plus2fil
\@fpbot=0pt plus1fil  \@dblfpbot=0pt plus1fil

\marginparpush=5pt

\parskip=0pt plus1pt\relax
\newdimen\normalparindent       \normalparindent=12pt
\parindent=\normalparindent

\partopsep=0pt

\@lowpenalty=51         \@medpenalty=151        \@highpenalty=301
\@beginparpenalty=-\@lowpenalty
\@endparpenalty=-\@lowpenalty
\@itempenalty=-\@lowpenalty
\def\part{\@startsection{\@string\part}%
        0\z@{12\p@\@plus12\p@}{6\p@}%
        {\raggedright\defaultfont\bf}}

\def\partname{Part}
\def\section{\@startsection{\@string\section}%
        1\z@{9\p@\@plus12\p@}{6\p@}%
        {\centering\defaultfont\sc}}
\def\subsection{\@startsection{\@string\subsection}%
        2\z@{6\p@\@plus9\p@}{-.5em}%
        {\defaultfont\bf}}

\def\subsubsection{\@startsection{\@string\subsubsection}%
        3\z@{6\p@\@plus9\p@}{-.5em}%
        {\defaultfont\it}}

\def\paragraph{\@startsection{\@string\paragraph}%
        4\z@\z@{-\fontdimen2\font}\defaultfont}

\def\appendix{\par\c@section\z@ \c@subsection\z@
   \let\sectionname\appendixname
   \def\thesection{\@Alph\c@section}}

\def\appendixname{Appendix}

\settowidth\leftmargini{\labelenumi\hspace*\labelsep}
\advance\leftmargini by 18pt
\settowidth\leftmarginii{\labelenumii\hspace*\labelsep}
\advance\leftmarginii by 15pt
\settowidth\leftmarginiii{\labelenumiii\hspace*\labelsep}
\advance\leftmarginiii by 12pt
\settowidth\leftmarginiv{\labelenumiv\hspace*\labelsep}
\advance\leftmarginiv by 10pt
\leftmarginv=10pt
\leftmarginvi=10pt
\leftmargin=\leftmargini
\labelsep=5pt
\labelwidth=\leftmargini \advance\labelwidth-\labelsep

\def\@listI{\leftmargin\leftmargini \parsep\z@
  \topsep\smallskipamount \itemsep\z@}
\let\@listi\@listI
\@listi
\def\@listii{\leftmargin\leftmarginii
 \labelwidth\leftmarginii \advance\labelwidth-\labelsep
 \topsep\z@ \parsep\z@ \itemsep\z@}
\def\@listiii{\leftmargin\leftmarginiii
 \labelwidth\leftmarginiii \advance\labelwidth-\labelsep
 \topsep\z@ \parsep\z@ \partopsep\z@ \itemsep\z@}
\def\@listiv{\leftmargin\leftmarginiv
 \labelwidth\leftmarginiv \advance\labelwidth-\labelsep}
\def\@listv{\leftmargin\leftmarginv
 \labelwidth\leftmarginv \advance\labelwidth-\labelsep}
\def\@listvi{\leftmargin\leftmarginvi
 \labelwidth\leftmarginvi \advance\labelwidth-\labelsep}

\if@article \else \input{amsbk10.sty} \fi
%% \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         \~}
\endinput
%% 
%% End of file `amsart10.sty'.
