amslatex package amscls update from latex-tds (27aug06)

git-svn-id: svn://tug.org/texlive/trunk@2048 c570f23f-e606-0410-a88d-b1316a301751

1 files changed, 1858 insertions, 0 deletions

diff --git a/Master/texmf-dist/tex/latex/amscls/amsproc.cls b/Master/texmf-dist/tex/latex/amscls/amsproc.cls
new file mode 100644
index 00000000000..a85c122203c
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/amscls/amsproc.cls
@@ -0,0 +1,1858 @@
+%%
+%% This is file `amsproc.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% amsclass.dtx  (with options: `amsproc,classes')
+%% 
+%%% ====================================================================
+%%% @LaTeX-file{
+%%%   filename  = "amsclass.dtx",
+%%%   version   = "2.20",
+%%%   date      = "2004/08/06",
+%%%   time      = "13:03:53 EDT",
+%%%   checksum  = "53558 5204 20497 185872",
+%%%   author    = "American Mathematical Society",
+%%%   copyright = "Copyright 1995, 1999, 2004
+%%%                American Mathematical Society,
+%%%                all rights reserved.  Copying of this file is
+%%%                authorized only if either:
+%%%                (1) you make absolutely no changes to your copy,
+%%%                including name; OR
+%%%                (2) if you do make changes, you first rename it
+%%%                to some other name.",
+%%%   address   = "American Mathematical Society,
+%%%                Technical Support,
+%%%                Publications Technical Group,
+%%%                201 Charles Street,
+%%%                Providence, RI 02904,
+%%%                USA",
+%%%   telephone = "401-455-4080 or (in the USA and Canada)
+%%%                800-321-4AMS (321-4267)",
+%%%   FAX       = "401-331-3842",
+%%%   email     = "tech-support@ams.org (Internet)",
+%%%   codetable = "ISO/ASCII",
+%%%   keywords  = "latex, AMS, documentclass, theorem",
+%%%   supported = "yes",
+%%%   abstract  = "This is the source for the amsthm package and three
+%%%                AMS document classes: amsart, amsproc, and amsbook.
+%%%                They are designed for use with LaTeX.",
+%%%   docstring = "The checksum field above contains a CRC-16 checksum
+%%%                as the first value, followed by the equivalent of
+%%%                the standard UNIX wc (word count) utility output of
+%%%                lines, words, and characters.  This is produced by
+%%%                Robert Solovay's checksum utility.",
+%%% }
+%%% ====================================================================
+\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX)
+[1995/06/01]% LaTeX date must be June 1995 or later
+\ProvidesClass{amsproc}[2004/08/06 v2.20]
+\global\expandafter\let\csname ver@amsthm.sty\expandafter\endcsname
+  \csname ver@\@currname.\@currext\endcsname
+\let\@xp=\expandafter
+\let\@nx=\noexpand
+\def\@oparg#1[#2]{\@ifnextchar[{#1}{#1[#2]}}
+\long\def\@ifempty#1{\@xifempty#1@@..\@nil}
+\long\def\@xifempty#1#2@#3#4#5\@nil{%
+  \ifx#3#4\@xp\@firstoftwo\else\@xp\@secondoftwo\fi}
+\long\def\@ifnotempty#1{\@ifempty{#1}{}}
+\def\setboxz@h{\setbox\z@\hbox}
+\def\@addpunct#1{%
+  \relax\ifhmode
+    \ifnum\spacefactor>\@m \else#1\fi
+  \fi}
+\def\nopunct{\spacefactor 1007 }
+\def\frenchspacing{\sfcode`\.1006\sfcode`\?1005\sfcode`\!1004%
+  \sfcode`\:1003\sfcode`\;1002\sfcode`\,1001 }
+\def\@tempa#1#2\@nil{\edef\@classname{#1}}
+\expandafter\@tempa\@currnamestack{}{}{}\@nil
+\ifx\@classname\@empty \edef\@classname{\@currname}\fi
+\def\@True{00}
+\def\@False{01}
+\newcommand\newswitch[2][False]{%
+  \expandafter\@ifdefinable\csname ?@#2\endcsname{%
+    \global\expandafter\let\csname ?@#2\expandafter\endcsname
+      \csname @#1\endcsname
+  }%
+}
+\newcommand{\setFalse}[1]{%
+  \expandafter\let\csname ?@#1\endcsname\@False
+}
+\newcommand{\setTrue}[1]{%
+  \expandafter\let\csname ?@#1\endcsname\@True
+}
+\newswitch{}
+\DeclareRobustCommand{\except}[1]{%
+  \if\csname ?@#1\endcsname \expandafter\@gobble
+  \else \expandafter\@firstofone
+  \fi
+}
+\DeclareRobustCommand{\for}[1]{%
+  \if\csname ?@#1\endcsname \expandafter\@firstofone
+  \else \expandafter\@gobble
+  \fi
+}
+\DeclareRobustCommand{\forany}[1]{%
+  \csname for@any@01\endcsname#1,?,\@nil
+}
+\@namedef{for@any@\@False}#1,{%
+  \csname for@any@%
+    \csname ?@\zap@space#1 \@empty\endcsname
+  \endcsname
+}
+\@namedef{?@?}{x}
+\@namedef{for@any@\@True}#1\@nil#2{#2}
+\def\for@any@x{\@car\@gobble}
+\DeclareOption{a4paper}{\paperheight 297mm\paperwidth 210mm
+  \textheight 54.5pc }
+\DeclareOption{letterpaper}{\paperheight 11in\paperwidth 8.5in }
+\DeclareOption{landscape}{\@tempdima\paperheight
+  \paperheight\paperwidth \paperwidth\@tempdima}
+\DeclareOption{portrait}{}
+\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
+\DeclareOption{twoside}{\@twosidetrue  \@mparswitchtrue}
+\DeclareOption{draft}{\overfullrule5\p@
+  \ClassWarningNoLine{\@classname}{%
+    When the draft option is used, the
+      \protect\includegraphics\MessageBreak
+    command will print blank placeholder boxes\MessageBreak
+    for the graphics}%
+}
+\DeclareOption{final}{\overfullrule\z@ }
+\def\dateposted#1{\def\@dateposted{#1}}%
+\let\@dateposted\@empty
+\def\@logofont{\fontsize{6}{7\p@}\selectfont}
+\long\def\set@logo#1{%
+  \vbox to\headheight{%
+    \@parboxrestore \@logofont
+    \noindent#1\par\vss
+  }%
+}
+\def\procart@logo{%
+  \set@logo{\publname
+    \ifx\@empty\volinfo \else\newline\volinfo\fi}%
+}
+\newif\if@titlepage
+\DeclareOption{titlepage}{\@titlepagetrue}
+\DeclareOption{notitlepage}{\@titlepagefalse}
+\DeclareOption{onecolumn}{\@twocolumnfalse}
+\DeclareOption{twocolumn}{\@twocolumntrue}
+\DeclareOption{nomath}{}
+\DeclareOption{noamsfonts}{}
+\DeclareOption{psamsfonts}{%
+  \PassOptionsToPackage{psamsfonts}{amsfonts}%
+  \PassOptionsToPackage{cmex10}{amsmath}}
+\newif\iftagsleft@
+\DeclareOption{leqno}{%
+  \tagsleft@true \PassOptionsToPackage{leqno}{amsmath}}
+\DeclareOption{reqno}{%
+  \tagsleft@false \PassOptionsToPackage{reqno}{amsmath}}
+\newif\ifctagsplit@
+\DeclareOption{centertags}{%
+  \ctagsplit@true \PassOptionsToPackage{centertags}{amsmath}}
+\DeclareOption{tbtags}{%
+  \ctagsplit@false \PassOptionsToPackage{tbtags}{amsmath}}
+\DeclareOption{fleqn}{}%
+\newcommand{\@mainsize}{10}
+\newcommand{\@ptsize}{0}
+\newcommand{\larger}[1][1]{%
+  \count@\@currsizeindex \advance\count@#1\relax
+  \ifnum\count@<\z@ \count@\z@ \else\ifnum\count@>12 \count@12 \fi\fi
+  \ifcase\count@
+    \Tiny\or\Tiny\or\tiny\or\SMALL\or\Small\or\small
+    \or\normalsize
+    \or\large\or\Large\or\LARGE\or\huge\or\Huge\else\Huge
+  \fi
+}
+\newcommand{\smaller}[1][1]{\larger[-#1]}
+\def\@adjustvertspacing{%
+  \bigskipamount.7\baselineskip plus.7\baselineskip
+  \medskipamount\bigskipamount \divide\medskipamount\tw@
+  \smallskipamount\medskipamount \divide\smallskipamount\tw@
+  \abovedisplayskip\medskipamount
+  \belowdisplayskip \abovedisplayskip
+  \abovedisplayshortskip\abovedisplayskip
+  \advance\abovedisplayshortskip-1\abovedisplayskip
+  \belowdisplayshortskip\abovedisplayshortskip
+  \advance\belowdisplayshortskip 1\smallskipamount
+  \jot\baselineskip \divide\jot 4 \relax
+}
+\renewcommand\normalsize{\@xsetfontsize\normalsize 6%
+  \@adjustvertspacing \let\@listi\@listI}
+\DeclareRobustCommand{\Tiny}{\@xsetfontsize\Tiny 1}
+\DeclareRobustCommand{\tiny}{\@xsetfontsize\tiny 2}
+\DeclareRobustCommand{\SMALL}{\@xsetfontsize\SMALL 3}
+\DeclareRobustCommand{\Small}{\@xsetfontsize\Small 4%
+  \@adjustvertspacing
+  \def\@listi{\topsep\smallskipamount \parsep\z@skip \itemsep\z@skip
+    \leftmargin=\leftmargini
+    \labelwidth=\leftmargini \advance\labelwidth-\labelsep
+  }%
+}
+\DeclareRobustCommand{\small}{\@xsetfontsize\small 5\@adjustvertspacing}
+\def\footnotesize{\Small}
+\def\scriptsize{\SMALL}
+\DeclareRobustCommand{\large}{\@xsetfontsize\large 7\@adjustvertspacing}
+\DeclareRobustCommand{\Large}{\@xsetfontsize\Large 8\@adjustvertspacing}
+\DeclareRobustCommand{\LARGE}{\@xsetfontsize\LARGE 9}
+\DeclareRobustCommand{\huge}{\@xsetfontsize\huge{10}}
+\DeclareRobustCommand{\Huge}{\@xsetfontsize\Huge{11}}
+\def\@xsetfontsize#1#2{%
+  \chardef\@currsizeindex#2\relax
+  \edef\@tempa{\@nx\@setfontsize\@nx#1%
+    \@xp\ifcase\@xp\@currsizeindex\@typesizes
+      \else{99}{99}\fi}%
+  \@tempa
+}
+\chardef\@currsizeindex=6
+\widowpenalty=10000
+\clubpenalty=10000
+\brokenpenalty=10000
+\newdimen\linespacing
+\lineskip=1pt \lineskiplimit=1pt
+\normallineskip=1pt \normallineskiplimit=1pt
+\let\baselinestretch=\@empty
+\headheight=8pt \headsep=14pt
+\footskip=12pt
+\textheight=50.5pc \topskip=10pt
+\textwidth=30pc
+\columnsep=10pt \columnseprule=0pt
+\marginparwidth=90pt
+\marginparsep=11pt
+\marginparpush=5pt
+\AtBeginDocument{\settoheight{\footnotesep}{\footnotesize M$^1$}}
+\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=15pt plus 12pt    \dblfloatsep=15pt plus 12pt
+\textfloatsep=\floatsep  \dbltextfloatsep=15pt plus 12pt
+\intextsep=\floatsep
+\@fptop=0pt plus1fil     \@dblfptop=0pt plus1fil
+\@fpbot=0pt plus1fil     \@dblfpbot=0pt plus1fil
+\@fpsep=8pt plus2fil     \@dblfpsep=8pt plus2fil\relax
+\parskip=0pt \relax
+\newdimen\normalparindent
+\normalparindent=18pt
+\parindent=\normalparindent
+\partopsep=0pt \relax \parsep=0pt \relax \itemsep=0pt \relax
+\@lowpenalty=51         \@medpenalty=151        \@highpenalty=301
+\@beginparpenalty=-\@lowpenalty
+\@endparpenalty=-\@lowpenalty
+\@itempenalty=-\@lowpenalty
+\DeclareOption{10pt}{\def\@mainsize{10}\def\@ptsize{0}%
+  \def\@typesizes{%
+    \or{5}{6}\or{6}{7}\or{7}{8}\or{8}{10}\or{9}{11}%
+    \or{10}{12}% normalsize
+    \or{\@xipt}{13}\or{\@xiipt}{14}\or{\@xivpt}{17}%
+    \or{\@xviipt}{20}\or{\@xxpt}{24}}%
+  \normalsize \linespacing=\baselineskip
+}
+\DeclareOption{11pt}{\def\@mainsize{11}\def\@ptsize{1}%
+  \def\@typesizes{%
+    \or{6}{7}\or{7}{8}\or{8}{10}\or{9}{11}\or{10}{12}%
+    \or{\@xipt}{13}% normalsize
+    \or{\@xiipt}{14}\or{\@xivpt}{17}\or{\@xviipt}{20}%
+    \or{\@xxpt}{24}\or{\@xxvpt}{30}}%
+  \normalsize \linespacing=\baselineskip
+}
+\DeclareOption{12pt}{\def\@mainsize{12}\def\@ptsize{2}%
+  \def\@typesizes{%
+    \or{7}{8}\or{8}{10}\or{9}{11}\or{10}{12}\or{\@xipt}{13}%
+    \or{\@xiipt}{14}% normalsize
+    \or{\@xivpt}{17}\or{\@xviipt}{20}\or{\@xxpt}{24}%
+    \or{\@xxvpt}{30}\or{\@xxvpt}{30}}%
+  \normalsize \linespacing=\baselineskip
+}
+\DeclareOption{8pt}{\def\@mainsize{8}\def\@ptsize{8}%
+  \def\@typesizes{%
+    \or{5}{6}\or{5}{6}\or{5}{6}\or{6}{7}\or{7}{8}%
+    \or{8}{10}% normalsize
+    \or{9}{11}\or{10}{12}\or{\@xipt}{13}%
+    \or{\@xiipt}{14}\or{\@xivpt}{17}}%
+  \normalsize \linespacing=\baselineskip
+}
+\DeclareOption{9pt}{\def\@mainsize{9}\def\@ptsize{9}%
+  \def\@typesizes{%
+    \or{5}{6}\or{5}{6}\or{6}{7}\or{7}{8}\or{8}{10}%
+    \or{9}{11}% normalsize
+    \or{10}{12}\or{\@xipt}{13}\or{\@xiipt}{14}%
+    \or{\@xivpt}{17}\or{\@xviipt}{20}}%
+  \normalsize \linespacing=\baselineskip
+}
+\def\ps@empty{\let\@mkboth\@gobbletwo
+  \let\@oddhead\@empty \let\@evenhead\@empty
+  \let\@oddfoot\@empty \let\@evenfoot\@empty
+  \global\topskip\normaltopskip}
+\def\ps@plain{\ps@empty
+  \def\@oddfoot{\normalfont\scriptsize \hfil\thepage\hfil}%
+  \let\@evenfoot\@oddfoot}
+\newswitch{runhead}
+\def\ps@headings{\ps@empty
+  \def\@evenhead{%
+    \setTrue{runhead}%
+    \normalfont\scriptsize
+    \rlap{\thepage}\hfil
+    \def\thanks{\protect\thanks@warning}%
+    \leftmark{}{}\hfil}%
+  \def\@oddhead{%
+    \setTrue{runhead}%
+    \normalfont\scriptsize \hfil
+    \def\thanks{\protect\thanks@warning}%
+    \rightmark{}{}\hfil \llap{\thepage}}%
+  \let\@mkboth\markboth
+}
+\let\sectionname\@empty
+\let\subsectionname\@empty
+\let\subsubsectionname\@empty
+\let\paragraphname\@empty
+\let\subparagraphname\@empty
+\def\leftmark{\expandafter\@firstoftwo\topmark{}{}}
+\def\rightmark{\expandafter\@secondoftwo\botmark{}{}}
+\def\ps@firstpage{\ps@plain
+  \def\@oddfoot{\normalfont\scriptsize \hfil\thepage\hfil
+     \global\topskip\normaltopskip}%
+  \let\@evenfoot\@oddfoot
+  \def\@oddhead{\@serieslogo\hss}%
+  \let\@evenhead\@oddhead % in case an article starts on a left-hand page
+}
+\long\def\@nilgobble#1\@nil{}
+\def\markboth#1#2{%
+  \begingroup
+    \@temptokena{{#1}{#2}}\xdef\@themark{\the\@temptokena}%
+    \mark{\the\@temptokena}%
+  \endgroup
+  \if@nobreak\ifvmode\nobreak\fi\fi}
+\def\ps@myheadings{\ps@headings \let\@mkboth\@gobbletwo}
+\newskip\normaltopskip
+\normaltopskip=10pt \relax
+\let\sectionmark\@gobble
+\let\subsectionmark\@gobble
+\let\subsubsectionmark\@gobble
+\let\paragraphmark\@gobble
+
+\DeclareOption{makeidx}{}
+\ExecuteOptions{leqno,centertags,letterpaper,portrait,%
+  10pt,twoside,onecolumn,final}
+\ProcessOptions\relax
+\if@compatibility
+  \def\@tempa{\RequirePackage{amstex}\relax}%
+\else
+  \@ifclasswith{\@classname}{nomath}{%
+    \let\@tempa\relax
+  }{%
+    \def\@tempa{\RequirePackage{amsmath}\relax}%
+  }%
+\fi
+\@tempa % load amstex.sty or amsmath.sty
+\@ifundefined{numberwithin}{%
+  \newcommand{\numberwithin}[3][\arabic]{%
+    \@ifundefined{c@#2}{\@nocounterr{#2}}{%
+      \@ifundefined{c@#3}{\@nocnterr{#3}}{%
+        \@addtoreset{#2}{#3}%
+        \@xp\xdef\csname the#2\endcsname{%
+          \@xp\@nx\csname the#3\endcsname .\@nx#1{#2}}}}%
+  }
+  \csname newtoks\endcsname\@emptytoks
+}{}
+\if@compatibility
+\else
+  \@ifclasswith{\@classname}{noamsfonts}{%
+    % amsfonts package is not wanted
+  }{%
+    % amsfonts package IS wanted; test whether a recent enough version
+    % seems to be installed
+    \begingroup \fontencoding{U}\fontfamily{msa}\try@load@fontshape\endgroup
+    \global\@xp\let\csname U+msa\endcsname\relax % reset
+    \@ifundefined{U/msa/m/n}{%
+      \ClassError{\@classname}{%
+  Package `amsfonts' not installed, or version too old?\MessageBreak
+  Unable to get font info for the `msam' fonts in the expected form%
+      }{%
+  The amsfonts package will not be loaded, to avoid probable\MessageBreak
+  incompatibility problems. You can (a) use the `noamsfonts'
+      documentclass\MessageBreak
+  option next time, or (b) check that the amsfonts package is
+      installed\MessageBreak
+  correctly, and is not too old to be compatible.%
+      }%
+    }{%
+      \RequirePackage{amsfonts}[1995/01/01]\relax
+    }%
+  }
+\fi % end yesamsfonts branch
+\let\cleardouble@page\cleardoublepage
+\AtBeginDocument{%
+  \ifx\cleardouble@page\cleardoublepage
+    \def\cleardoublepage{\clearpage{\pagestyle{empty}\cleardouble@page}}
+  \fi
+}
+\newcommand{\uppercasenonmath}[1]{\toks@\@emptytoks
+  \@xp\@skipmath\@xp\@empty#1$$%
+  \edef#1{{\@nx\protect\@nx\@upprep\the\toks@}}%
+}
+\newcommand{\@upprep}{%
+  \spaceskip1.3\fontdimen2\font plus1.3\fontdimen3\font
+  \upchars@}
+\newcommand{\upchars@}{%
+  \def\ss{SS}\def\i{I}\def\j{J}\def\ae{\AE}\def\oe{\OE}%
+  \def\o{\O}\def\aa{\AA}\def\l{\L}\def\Mc{M{\scshape c}}}
+\providecommand{\Mc}{Mc}
+\newcommand{\@skipmath}{}
+\long\def\@skipmath#1$#2${%
+  \@xskipmath#1\(\)%
+  \@ifnotempty{#2}{\toks@\@xp{\the\toks@$#2$}\@skipmath\@empty}}%
+\newcommand{\@xskipmath}{}
+\long\def\@xskipmath#1\(#2\){%
+  \uppercase{\toks@\@xp\@xp\@xp{\@xp\the\@xp\toks@#1}}%
+  \@ifnotempty{#2}{\toks@\@xp{\the\toks@\(#2\)}\@xskipmath\@empty}}%
+\def\altucnm#1{%
+  \MakeTextUppercase{\toks@{#1}}%
+  \edef#1{\the\toks@}%
+}
+\AtBeginDocument{%
+  \@ifundefined{MakeTextUppercase}{}{\let\uppercasenonmath\altucnm}%
+}
+\@ifundefined{MakeUppercase}{\let\MakeUppercase\uppercase}{}%
+\newcommand{\today}{%
+  \relax\ifcase\month\or
+  January\or February\or March\or April\or May\or June\or
+  July\or August\or September\or October\or November\or December\fi
+  \space\number\day, \number\year}
+\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
+\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
+\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
+\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
+\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
+\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
+\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
+%%\if@compatibility
+%%\else
+%%  \def\@obsolete@fontswitch#1#2#3{%
+%%    \@latex@warning@no@line{%
+%%      Command {\string#1...}\on@line\space is obsolete;\MessageBreak
+%%      the LaTeX2e equivalent is \string#3{...}}%
+%%    \gdef#1{\@fontswitch\relax#3}%
+%%  }
+%%  \DeclareRobustCommand*\cal{%
+%%    \@xp\@obsolete@fontswitch\csname cal \endcsname\relax\mathcal}
+%%  \DeclareRobustCommand*\mit{%
+%%    \@xp\@obsolete@fontswitch\csname mit \endcsname\relax\mathnormal}
+%%\fi
+\renewcommand*{\title}[2][]{\gdef\shorttitle{#1}\gdef\@title{#2}}
+\edef\title{\@nx\@dblarg
+  \@xp\@nx\csname\string\title\endcsname}
+\renewcommand{\author}[2][]{%
+  \ifx\@empty\authors
+    \gdef\authors{#2}%
+  \else
+    \g@addto@macro\authors{\and#2}%
+    \g@addto@macro\addresses{\author{}}%
+  \fi
+  \@ifnotempty{#1}{%
+    \ifx\@empty\shortauthors
+      \gdef\shortauthors{#1}%
+    \else
+      \g@addto@macro\shortauthors{\and#1}%
+    \fi
+  }%
+}
+\edef\author{\@nx\@dblarg
+  \@xp\@nx\csname\string\author\endcsname}
+\let\shortauthors\@empty   \let\authors\@empty
+\newif\ifresetcontrib  \resetcontribfalse
+\newcommand\contrib[2][]{%
+  \def\@tempa{#1}%
+  \ifx\@empty\@tempa
+  \else
+    \ifresetcontrib \@xcontribs
+    \else \global\resetcontribtrue
+    \fi
+  \fi
+  \ifx\@empty\contribs
+    \gdef\contribs{#1 #2}%
+  \else
+    \g@addto@macro\contribs{\and#1 #2}%
+  \fi
+  \@wraptoccontribs{#1}{#2}%
+}
+\def\wraptoccontribs#1#2{}
+\def\@xcontribs{%
+  \author@andify\contribs
+  \ifx\@empty\xcontribs
+    \xdef\xcontribs{\contribs}%
+  \else
+    \xdef\xcontribs{\xcontribs, \contribs}%
+  \fi
+  \let\contribs\@empty
+}
+\let\contribs\@empty  \let\xcontribs\@empty  \let\toccontribs\@empty
+\let\addresses\@empty      \let\thankses\@empty
+\newcommand{\address}[2][]{\g@addto@macro\addresses{\address{#1}{#2}}}
+\newcommand{\curraddr}[2][]{\g@addto@macro\addresses{\curraddr{#1}{#2}}}
+\newcommand{\email}[2][]{\g@addto@macro\addresses{\email{#1}{#2}}}
+\newcommand{\urladdr}[2][]{\g@addto@macro\addresses{\urladdr{#1}{#2}}}
+\long\def\thanks@warning#1{%
+  \ClassError{\@classname}{%
+    \protect\thanks\space should be given separately, not inside author name.%
+  }\@ehb
+}
+\renewcommand{\thanks}[1]{%
+  \@ifnotempty{#1}{\g@addto@macro\thankses{\thanks{#1}}}%
+}
+\def\enddoc@text{\ifx\@empty\@translators \else\@settranslators\fi
+  \ifx\@empty\addresses \else\@setaddresses\fi}
+\AtEndDocument{\enddoc@text}
+\def\curraddrname{{\itshape Current address}}
+\def\emailaddrname{{\itshape E-mail address}}
+\def\urladdrname{{\itshape URL}}
+\def\@setaddresses{\par
+  \nobreak \begingroup
+\footnotesize
+  \def\author##1{\nobreak\addvspace\bigskipamount}%
+  \def\\{\unskip, \ignorespaces}%
+  \interlinepenalty\@M
+  \def\address##1##2{\begingroup
+    \par\addvspace\bigskipamount\indent
+    \@ifnotempty{##1}{(\ignorespaces##1\unskip) }%
+    {\scshape\ignorespaces##2}\par\endgroup}%
+  \def\curraddr##1##2{\begingroup
+    \@ifnotempty{##2}{\nobreak\indent\curraddrname
+      \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space
+      ##2\par}\endgroup}%
+  \def\email##1##2{\begingroup
+    \@ifnotempty{##2}{\nobreak\indent\emailaddrname
+      \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space
+      \ttfamily##2\par}\endgroup}%
+  \def\urladdr##1##2{\begingroup
+    \def~{\char`\~}%
+    \@ifnotempty{##2}{\nobreak\indent\urladdrname
+      \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space
+      \ttfamily##2\par}\endgroup}%
+  \addresses
+  \endgroup
+}
+\let\@date\@empty
+\def\dedicatory#1{\def\@dedicatory{#1}}
+\let\@dedicatory=\@empty
+\def\keywords#1{\def\@keywords{#1}}
+\let\@keywords=\@empty
+\newcommand*\subjclass[2][1991]{%
+  \def\@subjclass{#2}%
+  \@ifundefined{subjclassname@#1}{%
+    \ClassWarning{\@classname}{Unknown edition (#1) of Mathematics
+      Subject Classification; using '1991'.}%
+  }{%
+    \@xp\let\@xp\subjclassname\csname subjclassname@#1\endcsname
+  }%
+}
+\let\@subjclass=\@empty
+\def\translname{Translated by}
+\def\translator#1{%
+  \ifx\@empty\@translators \def\@translators{#1}%
+  \else\g@addto@macro\@translators{\and#1}\fi}
+\let\@translators=\@empty
+\def\@settranslators{\par\begingroup
+  \addvspace{6\p@\@plus9\p@}%
+  \hbox to\columnwidth{\hss\normalfont\normalsize
+    \translname{ }%
+    \andify\@translators \uppercasenonmath\@translators
+    \@translators}
+  \endgroup
+}
+\newcommand{\xandlist}[4]{\@andlista{{#1}{#2}{#3}}#4\and\and}
+\def\@andlista#1#2\and#3\and{\@andlistc{#2}\@ifnotempty{#3}{%
+  \@andlistb#1{#3}}}
+\def\@andlistb#1#2#3#4#5\and{%
+  \@ifempty{#5}{%
+    \@andlistc{#2#4}%
+  }{%
+    \@andlistc{#1#4}\@andlistb{#1}{#3}{#3}{#5}%
+  }}
+\let\@andlistc\@iden
+\newcommand{\nxandlist}[4]{%
+  \def\@andlistc##1{\toks@\@xp{\the\toks@##1}}%
+  \toks@{\toks@\@emptytoks \@andlista{{#1}{#2}{#3}}}%
+  \the\@xp\toks@#4\and\and
+  \edef#4{\the\toks@}%
+  \let\@andlistc\@iden}
+\def\@@and{and}
+\newcommand{\andify}{%
+  \nxandlist{\unskip, }{\unskip{} \@@and~}{\unskip, \@@and~}}
+\def\and{\unskip{ }\@@and{ }\ignorespaces}
+\def\maketitle{\par
+  \@topnum\z@ % this prevents figures from falling at the top of page 1
+  \@setcopyright
+  \thispagestyle{firstpage}% this sets first page specifications
+  \uppercasenonmath\shorttitle
+  \ifx\@empty\shortauthors \let\shortauthors\shorttitle
+  \else \andify\shortauthors
+  \fi
+  \@maketitle@hook
+  \begingroup
+  \@maketitle
+  \toks@\@xp{\shortauthors}\@temptokena\@xp{\shorttitle}%
+  \toks4{\def\\{ \ignorespaces}}% defend against questionable usage
+  \edef\@tempa{%
+    \@nx\markboth{\the\toks4
+      \@nx\MakeUppercase{\the\toks@}}{\the\@temptokena}}%
+  \@tempa
+  \endgroup
+  \c@footnote\z@
+  \@cleartopmattertags
+}
+\def\@cleartopmattertags{%
+  \def\do##1{\let##1\relax}%
+  \do\maketitle \do\@maketitle \do\title \do\@xtitle \do\@title
+  \do\author \do\@xauthor \do\address \do\@xaddress
+  \do\contrib \do\contribs \do\xcontribs \do\toccontribs
+  \do\email \do\@xemail \do\curraddr \do\@xcurraddr
+  \do\dedicatory \do\@dedicatory \do\thanks \do\thankses
+  \do\keywords \do\@keywords \do\subjclass \do\@subjclass
+}
+\def\@maketitle@hook{\global\let\@maketitle@hook\@empty}
+\def\@maketitle{%
+  \normalfont\normalsize
+  \@adminfootnotes
+  \@mkboth{\@nx\shortauthors}{\@nx\shorttitle}%
+  \global\topskip8pc\relax % 10pc to base of first title line
+  \@settitle
+  \ifx\@empty\authors \else \@setauthors \fi
+  \ifx\@empty\@dedicatory
+  \else
+    \baselineskip26\p@
+    \vtop{\centering{\footnotesize\itshape\@dedicatory\@@par}%
+      \global\dimen@i\prevdepth}\prevdepth\dimen@i
+  \fi
+  \@setabstract
+  \normalsize
+  \if@titlepage
+    \newpage
+  \else
+    \dimen@34\p@ \advance\dimen@-\baselineskip
+    \vskip\dimen@\relax
+  \fi
+} % end \@maketitle
+\def\@adminfootnotes{%
+  \let\@makefnmark\relax  \let\@thefnmark\relax
+  \ifx\@empty\@subjclass\else \@footnotetext{\@setsubjclass}\fi
+  \ifx\@empty\@keywords\else \@footnotetext{\@setkeywords}\fi
+  \ifx\@empty\thankses\else \@footnotetext{%
+    \def\par{\let\par\@par}\@setthanks}%
+  \fi
+}
+\AtBeginDocument{%
+  \@ifundefined{publname}{%
+    \let\publname\@empty
+    \let\@serieslogo\@empty
+  }{%
+    \def\@serieslogo{\procart@logo}%
+  }%
+}
+\AtBeginDocument{%
+  \@ifundefined{volinfo}{\let\volinfo\@empty}{}
+}
+\def\issueinfo#1#2#3#4{\def\currentvolume{#1}\def\currentissue{#2}%
+  \def\currentmonth{#3}\def\currentyear{#4}}
+\issueinfo{00}% volume number
+  {0}%        % issue number
+  {Xxxx}%     % month
+  {XXXX}%     % year
+\newcommand{\copyrightinfo}[2]{%
+  \def\copyrightyear{#1}%
+  \@ifnotempty{#2}{\def\copyrightholder{#2}}%
+}
+\copyrightinfo{0000}{(copyright holder)}
+\def\pagespan#1#2{\setcounter{page}{#1}%
+  \ifnum\c@page<\z@ \pagenumbering{roman}\setcounter{page}{-#1}\fi
+  \def\start@page{#1}\def\end@page{#2}}
+\pagespan{000}{000}
+\newinsert\copyins
+\skip\copyins=1.5pc
+\count\copyins=1000 % magnification factor, 1000 = 100%
+\dimen\copyins=.5\textheight % maximum allowed per page
+\g@addto@macro\@reinserts{%
+  \ifvoid\copyins\else\insert\copyins{\unvbox\copyins}\fi
+}
+\def\@copyinsfontsize{\fontsize{6}{7\p@}\normalfont\upshape}
+\newif\if@extracrline  \@extracrlinefalse
+\let\@extracrline\@empty
+\relax
+\def\@setcopyright{%
+  \ifx\@empty\@serieslogo
+  \else\ifx\@empty\copyrightyear
+  \else
+    \insert\copyins{\hsize\textwidth
+      \parfillskip\z@\relax
+      \leftskip\z@\@plus.9\textwidth\relax \rightskip\z@\relax
+      \@copyinsfontsize
+      \everypar{}%
+      \vskip-\skip\copyins
+      \if@extracrline
+        \vskip-6pt
+      \fi
+      \nointerlineskip
+      \leavevmode\hfill\vrule\@width\z@\@height\skip\copyins
+      \copyright\copyrightyear\ \copyrightholder\ignorespaces
+      \if@extracrline \@extracrline \fi
+      \par
+      \kern\z@}%
+  \fi\fi
+}
+\def\@combinefloats{%
+  \ifx \@toplist\@empty \else \@cflt \fi
+  \ifx \@botlist\@empty \else \@cflb \fi
+  \ifvoid\copyins \else \@cflci \fi
+}
+\def\@cflci{%
+  \setbox\@outputbox\vbox{%
+    \unvbox\@outputbox
+    \vskip\skip\copyins
+    \if@twocolumn \else \vskip\z@ plus\p@ \fi
+    \hbox to\columnwidth{%
+      \hss\vbox to\z@{\vss
+        \if@twocolumn
+          \if@firstcolumn \else \unvbox\copyins \fi
+        \else
+          \unvbox\copyins
+        \fi
+        }}}%
+  \if@twocolumn \if@firstcolumn
+    \insert\copyins{\unvbox\copyins}%
+  \fi\fi
+  \global\count\copyins=999 \relax
+}
+\newcommand{\abstractname}{Abstract}
+\newcommand{\keywordsname}{Key words and phrases}
+\newcommand{\subjclassname}{%
+  \textup{1991} Mathematics Subject Classification}
+\@xp\let\csname subjclassname@1991\endcsname \subjclassname
+\@namedef{subjclassname@2000}{%
+  \textup{2000} Mathematics Subject Classification}
+\def\@tempb{amsproc}
+\ifx\@classname\@tempb
+  \newcommand{\datename}{\textit{Date}:}
+\else
+  \newcommand{\datename}{Received by the editors}
+\fi
+\def\@settitle{\begin{center}%
+ \Large
+    \bfseries
+  \@title
+  \end{center}%
+}
+\def\author@andify{%
+  \nxandlist {\unskip ,\penalty-1 \space\ignorespaces}%
+    {\unskip {} \@@and~}%
+    {\unskip ,\penalty-2 \space \@@and~}%
+}
+\def\@setauthors{%
+  \begingroup
+  \def\thanks{\protect\thanks@warning}%
+  \trivlist
+  \centering \fontsize{11}{13\p@}\selectfont\@topsep13\p@\relax
+  \item\relax
+  \author@andify\authors
+  \def\\{\protect\linebreak}%
+  \authors
+  \ifx\@empty\contribs
+  \else
+    ,\penalty-3 \space \@setcontribs
+    \@closetoccontribs
+  \fi
+  \endtrivlist
+  \endgroup
+}
+\def\@closetoccontribs{}
+\def\@setcontribs{%
+  \@xcontribs
+  \xcontribs
+}
+\def\@setdate{\datename\ \@date\@addpunct.}
+\def\@setsubjclass{%
+  {\itshape\subjclassname.}\enspace\@subjclass\@addpunct.}
+\def\@setkeywords{%
+  {\itshape \keywordsname.}\enspace \@keywords\@addpunct.}
+\def\@setthanks{\def\thanks##1{\par##1\@addpunct.}\thankses}
+\newbox\abstractbox
+\newenvironment{abstract}{%
+  \ifx\maketitle\relax
+    \ClassWarning{\@classname}{Abstract should precede
+      \protect\maketitle\space in AMS document classes; reported}%
+  \fi
+  \global\setbox\abstractbox=\vtop \bgroup
+    \normalfont\Small
+    \list{}{\labelwidth\z@
+      \leftmargin3pc \rightmargin\leftmargin
+      \listparindent\normalparindent \itemindent\z@
+      \parsep\z@ \@plus\p@
+      \let\fullwidthdisplay\relax
+    }%
+    \item[\hskip\labelsep\scshape\abstractname.]%
+}{%
+  \endlist\egroup
+  \ifx\@setabstract\relax \@setabstracta \fi
+}
+\def\@setabstract{\@setabstracta \global\let\@setabstract\relax}
+\def\@setabstracta{%
+  \ifvoid\abstractbox
+  \else
+    \skip@20\p@ \advance\skip@-\lastskip
+    \advance\skip@-\baselineskip \vskip\skip@
+    \box\abstractbox
+    \prevdepth\z@ % because \abstractbox is a vtop
+  \fi
+}
+\def\titlepage{%
+  \clearpage
+  \thispagestyle{empty}\setcounter{page}{0}}
+\def\endtitlepage{\newpage}
+\def\labelenumi{(\theenumi)}
+\def\theenumi{\@arabic\c@enumi}
+\def\labelenumii{(\theenumii)}
+\def\theenumii{\@alph\c@enumii}
+\def\p@enumii{\theenumi}
+\def\labelenumiii{(\theenumiii)}
+\def\theenumiii{\@roman\c@enumiii}
+\def\p@enumiii{\theenumi(\theenumii)}
+\def\labelenumiv{(\theenumiv)}
+\def\theenumiv{\@Alph\c@enumiv}
+\def\p@enumiv{\p@enumiii\theenumiii}
+\def\labelitemi{$\m@th\bullet$}
+\def\labelitemii{\bfseries --}% \upshape already done by \itemize
+\def\labelitemiii{$\m@th\ast$}
+\def\labelitemiv{$\m@th\cdot$}
+\newenvironment{verse}{\let\\\@centercr
+  \list{}{\itemsep\z@ \itemindent -1.5em\listparindent\itemindent
+  \rightmargin\leftmargin \advance\leftmargin 1.5em}\item[]%
+}{%
+  \endlist
+}
+\let\endverse=\endlist % for efficiency
+\newenvironment{quotation}{\list{}{%
+    \leftmargin3pc \listparindent\normalparindent
+    \itemindent\z@
+    \rightmargin\leftmargin \parsep\z@ \@plus\p@}%
+  \item[]%
+}{%
+  \endlist
+}
+\let\endquotation=\endlist % for efficiency
+\newenvironment{quote}{%
+  \list{}{\rightmargin\leftmargin}\item[]%
+}{%
+  \endlist
+}
+\let\endquote=\endlist % for efficiency
+\def\trivlist{\parsep\parskip\@nmbrlistfalse
+  \@trivlist \labelwidth\z@ \leftmargin\z@
+  \itemindent\z@
+  \let\@itemlabel\@empty
+  \def\makelabel##1{\upshape##1}}
+\renewenvironment{enumerate}{%
+  \ifnum \@enumdepth >3 \@toodeep\else
+      \advance\@enumdepth \@ne
+      \edef\@enumctr{enum\romannumeral\the\@enumdepth}\list
+      {\csname label\@enumctr\endcsname}{\usecounter
+        {\@enumctr}\def\makelabel##1{\hss\llap{\upshape##1}}}\fi
+}{%
+  \endlist
+}
+\let\endenumerate=\endlist % for efficiency
+\renewenvironment{itemize}{%
+  \ifnum\@itemdepth>3 \@toodeep
+  \else \advance\@itemdepth\@ne
+    \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
+    \list{\csname\@itemitem\endcsname}%
+      {\def\makelabel##1{\hss\llap{\upshape##1}}}%
+  \fi
+}{%
+  \endlist
+}
+\let\enditemize=\endlist % for efficiency
+\newcommand{\descriptionlabel}[1]{\hspace\labelsep \upshape\bfseries #1:}
+\newenvironment{description}{\list{}{%
+  \advance\leftmargini6\p@ \itemindent-12\p@
+  \labelwidth\z@ \let\makelabel\descriptionlabel}%
+}{
+  \endlist
+}
+\let\enddescription=\endlist % for efficiency
+\let\upn=\textup
+\AtBeginDocument{%
+  \labelsep=5pt\relax
+  \setcounter{enumi}{13}\setcounter{enumii}{13}%
+  \setcounter{enumiii}{13}\setcounter{enumiv}{13}%
+  \settowidth\leftmargini{\labelenumi\hskip\labelsep}%
+  \advance\leftmargini by \normalparindent
+  \settowidth\leftmarginii{\labelenumii\hskip\labelsep}%
+  \settowidth\leftmarginiii{\labelenumiii\hskip\labelsep}%
+  \settowidth\leftmarginiv{\labelenumiv\hskip\labelsep}%
+  \setcounter{enumi}{0}\setcounter{enumii}{0}%
+  \setcounter{enumiii}{0}\setcounter{enumiv}{0}%
+  \leftmarginv=10pt  \leftmarginvi=\leftmarginv
+  \leftmargin=\leftmargini
+  \labelwidth=\leftmargini \advance\labelwidth-\labelsep
+  \@listi}
+\newskip\listisep
+\listisep\smallskipamount
+\def\@listI{\leftmargin\leftmargini \parsep\z@skip
+  \topsep\listisep \itemsep\z@skip
+  \listparindent\normalparindent}
+\let\@listi\@listI
+\def\@listii{\leftmargin\leftmarginii
+  \labelwidth\leftmarginii \advance\labelwidth-\labelsep
+  \topsep\z@skip \parsep\z@skip \partopsep\z@skip \itemsep\z@skip}
+\def\@listiii{\leftmargin\leftmarginiii
+  \labelwidth\leftmarginiii \advance\labelwidth-\labelsep}
+\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}
+\@ifclasswith{\@classname}{fleqn}{%
+  \let\@tempa\@iden
+  \AtBeginDocument{\mathindent\leftmargini}%
+}{\let\@tempa\@gobble}%
+\@ifpackageloaded{amsmath}{\let\@tempa\@gobble}{%
+  \@ifpackageloaded{amstex}{\let\@tempa\@gobble}{}%
+}
+\@tempa{%
+  \def\[{\relax
+    \ifmmode\@badmath
+    \else
+      \begin{trivlist}%
+      \@beginparpenalty\predisplaypenalty
+      \@endparpenalty\postdisplaypenalty
+      \item[]\leavevmode
+      \hbox to\linewidth\bgroup$\displaystyle
+      \hskip\mathindent\bgroup
+    \fi}%
+  \def\]{\relax
+    \ifmmode
+      \egroup \m@th$\hfil \egroup
+      \end{trivlist}%
+    \else \@badmath
+    \fi}%
+  \renewenvironment{equation}{%
+    \@beginparpenalty\predisplaypenalty
+    \@endparpenalty\postdisplaypenalty
+    \refstepcounter{equation}%
+    \@topsep\abovedisplayskip \trivlist
+    \item[]\leavevmode
+    \hbox to\linewidth\bgroup\hskip\mathindent$\displaystyle
+  }{%
+    \m@th$\hfil \displaywidth\linewidth \hbox{\@eqnnum}\egroup
+    \endtrivlist
+  }%
+  \renewenvironment{eqnarray}{%
+    \stepcounter{equation}\let\@currentlabel\theequation
+    \global\@eqnswtrue \global\@eqcnt\z@ \tabskip\mathindent
+    \let\\=\@eqncr \abovedisplayskip\topsep
+    \ifvmode \advance\abovedisplayskip\partopsep \fi
+    \belowdisplayskip\abovedisplayskip
+    \belowdisplayshortskip\abovedisplayskip
+    \abovedisplayshortskip\abovedisplayskip
+    $$\everycr{}\halign to\linewidth\bgroup
+      \hskip\@centering
+      $\displaystyle\tabskip\z@skip####\m@th$&%
+      \@eqnsel \global\@eqcnt\@ne
+      \hfil${}####{}\m@th$\hfil&%
+      \global\@eqcnt\tw@
+      $\displaystyle ####\m@th$\hfil\tabskip\@centering&%
+      \global\@eqcnt\thr@@
+      \hbox to \z@\bgroup\hss####\egroup\tabskip\z@skip\cr
+    }{%
+      \@@eqncr \egroup \global\advance\c@equation\m@ne$$%
+      \global\@ignoretrue
+    }%
+  \newdimen\mathindent
+  \mathindent\leftmargini
+}
+\def\@startsection#1#2#3#4#5#6{%
+ \if@noskipsec \leavevmode \fi
+ \par \@tempskipa #4\relax
+ \@afterindenttrue
+ \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi
+ \if@nobreak \everypar{}\else
+     \addpenalty\@secpenalty\addvspace\@tempskipa\fi
+ \@ifstar{\@dblarg{\@sect{#1}{\@m}{#3}{#4}{#5}{#6}}}%
+         {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}%
+}
+\def\@seccntformat#1{%
+  \protect\textup{\protect\@secnumfont
+    \csname the#1\endcsname
+    \protect\@secnumpunct
+  }%
+}
+\let\@secnumfont\@empty
+\def\@sect#1#2#3#4#5#6[#7]#8{%
+  \edef\@toclevel{\ifnum#2=\@m 0\else\number#2\fi}%
+  \ifnum #2>\c@secnumdepth \let\@secnumber\@empty
+  \else \@xp\let\@xp\@secnumber\csname the#1\endcsname\fi
+  \@tempskipa #5\relax
+  \ifnum #2>\c@secnumdepth
+    \let\@svsec\@empty
+  \else
+    \refstepcounter{#1}%
+    \edef\@secnumpunct{%
+      \ifdim\@tempskipa>\z@ % not a run-in section heading
+        \@ifnotempty{#8}{.\@nx\enspace}%
+      \else
+        \@ifempty{#8}{.}{.\@nx\enspace}%
+      \fi
+    }%
+    \protected@edef\@svsec{%
+      \ifnum#2<\@m
+        \@ifundefined{#1name}{}{%
+          \ignorespaces\csname #1name\endcsname\space
+        }%
+      \fi
+      \@seccntformat{#1}%
+    }%
+  \fi
+  \ifdim \@tempskipa>\z@ % then this is not a run-in section heading
+    \begingroup #6\relax
+    \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty\@M #8\par}%
+    \endgroup
+    \ifnum#2>\@m \else \@tocwrite{#1}{#8}\fi
+  \else
+  \def\@svsechd{#6\hskip #3\@svsec
+    \@ifnotempty{#8}{\ignorespaces#8\unskip
+       \@addpunct.}%
+    \ifnum#2>\@m \else \@tocwrite{#1}{#8}\fi
+  }%
+  \fi
+  \global\@nobreaktrue
+  \@xsect{#5}}
+\let\@ssect\relax
+\newcounter{part}
+\newcounter{section}
+\newcounter{subsection}[section]
+\newcounter{subsubsection}[subsection]
+\newcounter{paragraph}[subsubsection]
+\newcounter{subparagraph}[paragraph]
+\renewcommand\thepart          {\arabic{part}}
+\renewcommand\thesection       {\arabic{section}}
+\renewcommand\thesubsection    {\thesection.\arabic{subsection}}
+\renewcommand\thesubsubsection {\thesubsection .\arabic{subsubsection}}
+\renewcommand\theparagraph     {\thesubsubsection.\arabic{paragraph}}
+\renewcommand\thesubparagraph  {\theparagraph.\arabic{subparagraph}}
+\setcounter{secnumdepth}{3}
+\def\partname{Part}
+\def\part{\@startsection{part}{0}%
+  \z@{\linespacing\@plus\linespacing}{.5\linespacing}%
+  {\normalfont\bfseries\raggedright}}
+\def\specialsection{\@startsection{section}{1}%
+  \z@{2\linespacing\@plus\linespacing}{.5\linespacing}%
+  {\large\scshape\centering}}
+\def\section{\@startsection{section}{1}%
+  \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}%
+  {\normalfont\bfseries\centering}}
+\def\subsection{\@startsection{subsection}{2}%
+  \normalparindent{.5\linespacing\@plus.7\linespacing}{-.5em}%
+  {\normalfont\bfseries}}
+\def\subsubsection{\@startsection{subsubsection}{3}%
+  \normalparindent\z@{-.5em}%
+  {\normalfont\itshape}}
+\def\paragraph{\@startsection{paragraph}{4}%
+  \normalparindent\z@{-\fontdimen2\font}%
+  \normalfont}
+\def\subparagraph{\@startsection{subparagraph}{5}%
+  \z@\z@{-\fontdimen2\font}%
+  \normalfont}
+\def\appendix{\par\c@section\z@ \c@subsection\z@
+   \let\sectionname\appendixname
+   \def\thesection{\@Alph\c@section}}
+\def\appendixname{Appendix}
+\def\@Roman#1{\@xp\@slowromancap
+  \romannumeral#1@}%
+\def\@slowromancap#1{\ifx @#1% then terminate
+  \else
+    \if i#1I\else\if v#1V\else\if x#1X\else\if l#1L\else\if
+    c#1C\else\if m#1M\else#1\fi\fi\fi\fi\fi\fi
+    \@xp\@slowromancap
+  \fi
+}
+\def\aufm#1{\par\vspace*{12pt}{\flushright #1\par}}
+\newcommand{\@pnumwidth}{1.6em}
+\newcommand{\@tocrmarg}{2.6em}
+\setcounter{tocdepth}{1}
+\newswitch{toc}
+\newswitch{lof}
+\newswitch{lot}
+\newcommand\contentsnamefont{\scshape}
+\def\@starttoc#1#2{\begingroup
+  \setTrue{#1}%
+  \par\removelastskip\vskip\z@skip
+  \@startsection{}\@M\z@{\linespacing\@plus\linespacing}%
+    {.5\linespacing}{\centering\contentsnamefont}{#2}%
+  \ifx\contentsname#2%
+  \else \addcontentsline{toc}{section}{#2}\fi
+  \makeatletter
+  \@input{\jobname.#1}%
+  \if@filesw
+    \@xp\newwrite\csname tf@#1\endcsname
+    \immediate\@xp\openout\csname tf@#1\endcsname \jobname.#1\relax
+  \fi
+  \global\@nobreakfalse \endgroup
+  \addvspace{32\p@\@plus14\p@}%
+  \let\tableofcontents\relax
+}
+\def\contentsname{Contents}
+\def\listfigurename{List of Figures}
+\def\listtablename{List of Tables}
+\def\tableofcontents{%
+  \@starttoc{toc}\contentsname
+}
+\def\listoffigures{\@starttoc{lof}\listfigurename}
+\def\listoftables{\@starttoc{lot}\listtablename}
+\AtBeginDocument{%
+  \@for\@tempa:=-1,0,1,2,3\do{%
+    \@ifundefined{r@tocindent\@tempa}{%
+      \@xp\gdef\csname r@tocindent\@tempa\endcsname{0pt}}{}%
+  }%
+}
+\def\@writetocindents{%
+  \begingroup
+  \@for\@tempa:=-1,0,1,2,3\do{%
+    \immediate\write\@auxout{%
+      \string\newlabel{tocindent\@tempa}{%
+        \csname r@tocindent\@tempa\endcsname}}%
+  }%
+  \endgroup}
+\AtEndDocument{\@writetocindents}
+
+\let\indentlabel\@empty
+\def\@tochangmeasure#1{\sbox\z@{#1}%
+  \ifdim\wd\z@>\csname r@tocindent\@toclevel\endcsname\relax
+    \@xp\xdef\csname r@tocindent\@toclevel\endcsname{\the\wd\z@}%
+  \fi
+}
+\def\@toclevel{0}
+\def\@tocline#1#2#3#4#5#6#7{\relax
+  \ifnum #1>\c@tocdepth % then omit
+  \else
+    \par \addpenalty\@secpenalty\addvspace{#2}%
+    \begingroup \hyphenpenalty\@M
+    \@ifempty{#4}{%
+      \@tempdima\csname r@tocindent\number#1\endcsname\relax
+    }{%
+      \@tempdima#4\relax
+    }%
+    \parindent\z@ \leftskip#3\relax \advance\leftskip\@tempdima\relax
+    \rightskip\@pnumwidth plus4em \parfillskip-\@pnumwidth
+    #5\leavevmode\hskip-\@tempdima #6\nobreak\relax
+    \hfil\hbox to\@pnumwidth{\@tocpagenum{#7}}\par
+    \nobreak
+    \endgroup
+  \fi}
+\def\@tocpagenum#1{\hss{\mdseries #1}}
+\def\@tocwrite#1{\@xp\@tocwriteb\csname toc#1\endcsname{#1}}
+\def\@tocwriteb#1#2#3{%
+  \begingroup
+    \def\@tocline##1##2##3##4##5##6{%
+      \ifnum##1>\c@tocdepth
+      \else \sbox\z@{##5\let\indentlabel\@tochangmeasure##6}\fi}%
+    \csname l@#2\endcsname{#1{\csname#2name\endcsname}{\@secnumber}{}}%
+  \endgroup
+  \addcontentsline{toc}{#2}%
+    {\protect#1{\csname#2name\endcsname}{\@secnumber}{#3}}}
+\def\l@section{\@tocline{1}{0pt}{1pc}{}{}}
+\newcommand{\tocsection}[3]{%
+  \indentlabel{\@ifnotempty{#2}{\ignorespaces#1 #2.\quad}}#3}
+\def\l@subsection{\@tocline{2}{0pt}{1pc}{5pc}{}}
+\let\tocsubsection\tocsection
+\def\l@subsubsection{\@tocline{3}{0pt}{1pc}{7pc}{}}
+\let\tocsubsubsection\tocsection
+\let\l@paragraph\l@subsubsection
+\let\tocparagraph\tocsection
+\let\l@subparagraph\l@subsubsection
+\let\tocsubparagraph\tocsection
+\def\l@part{\@tocline{-1}{12pt plus2pt}{0pt}{}{\bfseries}}
+\let\tocpart\tocsection
+\def\l@chapter{\@tocline{0}{8pt plus1pt}{0pt}{}{}}
+\let\tocchapter\tocsection
+\newcommand{\tocappendix}[3]{%
+  \indentlabel{#1\@ifnotempty{#2}{ #2}.\quad}#3}
+\def\l@figure{\@tocline{0}{3pt plus2pt}{0pt}{1.5pc}{}}
+\let\l@table=\l@figure
+\def\refname{References}
+\def\bibname{Bibliography}
+\def\@defaultbiblabelstyle#1{#1.}
+\def\bibliographystyle#1{%
+    \if@filesw\immediate\write\@auxout{\string\bibstyle{#1}}\fi
+    \def\@tempa{#1}%
+    \def\@tempb{amsplain}%
+    \def\@tempc{}%
+    \ifx\@tempa\@tempb
+        \def\@biblabel##1{\@defaultbiblabelstyle{##1}}%
+        \def\bibsetup{}%
+    \else
+        \def\bibsetup{\labelsep6\p@}%
+        \ifx\@tempa\@tempc
+            \def\@biblabel##1{}%
+            \def\bibsetup{\labelwidth\z@ \leftmargin24\p@
+                \itemindent-\leftmargin
+                \labelsep\z@ }%
+        \fi
+    \fi}
+\newcommand{\bibliofont}{\footnotesize}
+\newcommand{\@bibtitlestyle}{%
+  \@xp\section\@xp*\@xp{\refname}%
+}
+\newenvironment{thebibliography}[1]{%
+  \@bibtitlestyle
+  \normalfont\bibliofont\labelsep .5em\relax
+  \renewcommand\theenumiv{\arabic{enumiv}}\let\p@enumiv\@empty
+  \list{\@biblabel{\theenumiv}}{\settowidth\labelwidth{\@biblabel{#1}}%
+    \leftmargin\labelwidth \advance\leftmargin\labelsep
+    \usecounter{enumiv}}%
+  \sloppy \clubpenalty\@M \widowpenalty\clubpenalty
+  \sfcode`\.=\@m
+}{%
+  \def\@noitemerr{\@latex@warning{Empty `thebibliography' environment}}%
+  \endlist
+}
+\def\bysame{\leavevmode\hbox to3em{\hrulefill}\thinspace}
+\def\newblock{}
+\newcommand\MR[1]{\relax\ifhmode\unskip\spacefactor3000 \space\fi
+  MR~\MRhref{#1}{#1}}
+\let\MRhref\@gobble
+\newcommand\URL{\begingroup
+  \def\@sverb##1{%
+    \def\@tempa####1##1{\@URL{####1}\egroup\endgroup}%
+    \@tempa}%
+  \verb}
+\let\URLhref\@gobble
+\def\@URL#1{\URLhref{#1}#1}
+\newif\if@restonecol
+\newcommand{\@indextitlestyle}{%
+  \twocolumn[\@xp\section\@xp*\@xp{\indexname}]%
+}
+\def\theindex{\@restonecoltrue\if@twocolumn\@restonecolfalse\fi
+  \columnseprule\z@ \columnsep 35\p@
+  \@indextitlestyle
+  \thispagestyle{plain}%
+  \let\item\@idxitem
+  \parindent\z@  \parskip\z@\@plus.3\p@\relax
+  \raggedright
+  \hyphenpenalty\@M
+  \footnotesize}
+\def\indexname{Index}
+\def\@idxitem{\par\hangindent 2em}
+\def\subitem{\par\hangindent 2em\hspace*{1em}}
+\def\subsubitem{\par\hangindent 3em\hspace*{2em}}
+\def\endtheindex{\if@restonecol\onecolumn\else\clearpage\fi}
+\def\indexspace{\par\bigskip}
+\def\footnoterule{\kern-.4\p@
+        \hrule\@width 5pc\kern11\p@\kern-\footnotesep}
+\def\@makefnmark{%
+  \leavevmode
+  \raise.9ex\hbox{\fontsize\sf@size\z@\normalfont\@thefnmark}%
+}
+\def\@makefntext{\indent\@makefnmark}
+\long\def\@footnotetext#1{%
+  \insert\footins{%
+    \normalfont\footnotesize
+    \interlinepenalty\interfootnotelinepenalty
+    \splittopskip\footnotesep \splitmaxdepth \dp\strutbox
+    \floatingpenalty\@MM \hsize\columnwidth
+    \@parboxrestore \parindent\normalparindent \sloppy
+    \protected@edef\@currentlabel{%
+      \csname p@footnote\endcsname\@thefnmark}%
+    \@makefntext{%
+      \rule\z@\footnotesep\ignorespaces#1\unskip\strut\par}}}
+\hfuzz=1pt \vfuzz=\hfuzz
+\def\sloppy{\tolerance9999 \emergencystretch 3em\relax}
+\setcounter{topnumber}{4}
+\setcounter{bottomnumber}{4}
+\setcounter{totalnumber}{4}
+\setcounter{dbltopnumber}{4}
+\renewcommand{\topfraction}{.97}
+\renewcommand{\bottomfraction}{.97}
+\renewcommand{\textfraction}{.03}
+\renewcommand{\floatpagefraction}{.9}
+\renewcommand{\dbltopfraction}{.97}
+\renewcommand{\dblfloatpagefraction}{.9}
+\setlength{\floatsep}{12pt plus 6pt minus 4pt}
+\setlength{\textfloatsep}{15pt plus 8pt minus 5pt}
+\setlength{\intextsep}{12pt plus 6pt minus 4pt}
+\setlength{\dblfloatsep}{12pt plus 6pt minus 4pt}
+\setlength{\dbltextfloatsep}{15pt plus 8pt minus 5pt}
+\setlength{\@fptop}{0pt}% removed "plus 1fil"
+\setlength{\@fpsep}{8pt}% removed "plus 2fil"
+\setlength{\@fpbot}{0pt plus 1fil}
+\setlength{\@dblfptop}{0pt}% removed "plus 1fil"
+\setlength{\@dblfpsep}{8pt}% removed "plus 2fil"
+\setlength{\@dblfpbot}{0pt plus 1fil}
+\newcommand{\fps@figure}{tbp}
+\newcommand{\fps@table}{tbp}
+\newcounter{figure}
+\def\@captionheadfont{\scshape}
+\def\@captionfont{\normalfont}
+\def\ftype@figure{1}
+\def\ext@figure{lof}
+\def\fnum@figure{\figurename\ \thefigure}
+\def\figurename{Figure}
+\newenvironment{figure}{%
+  \@float{figure}%
+}{%
+  \end@float
+}
+\newenvironment{figure*}{%
+  \@dblfloat{figure}%
+}{%
+  \end@dblfloat
+}
+\newcounter{table}
+\def\ftype@table{2}
+\def\ext@table{lot}
+\def\fnum@table{\tablename\ \thetable}
+\def\tablename{Table}
+\newenvironment{table}{%
+  \@float{table}%
+}{%
+  \end@float
+}
+\newenvironment{table*}{%
+  \@dblfloat{table}%
+}{%
+  \end@dblfloat
+}
+\def\@floatboxreset{\global\@minipagefalse \centering}
+\long\def\@makecaption#1#2{%
+  \setbox\@tempboxa\vbox{\color@setgroup
+    \advance\hsize-2\captionindent\noindent
+    \@captionfont\@captionheadfont#1\@xp\@ifnotempty\@xp
+        {\@cdr#2\@nil}{.\@captionfont\upshape\enspace#2}%
+    \unskip\kern-2\captionindent\par
+    \global\setbox\@ne\lastbox\color@endgroup}%
+  \ifhbox\@ne % the normal case
+    \setbox\@ne\hbox{\unhbox\@ne\unskip\unskip\unpenalty\unkern}%
+  \fi
+  \ifdim\wd\@tempboxa=\z@ % this means caption will fit on one line
+    \setbox\@ne\hbox to\columnwidth{\hss\kern-2\captionindent\box\@ne\hss}%
+  \else % tempboxa contained more than one line
+    \setbox\@ne\vbox{\unvbox\@tempboxa\parskip\z@skip
+        \noindent\unhbox\@ne\advance\hsize-2\captionindent\par}%
+  \fi
+  \ifnum\@tempcnta<64 % if the float IS a figure...
+    \addvspace\abovecaptionskip
+    \hbox to\hsize{\kern\captionindent\box\@ne\hss}%
+  \else % if the float IS NOT a figure...
+    \hbox to\hsize{\kern\captionindent\box\@ne\hss}%
+    \nobreak
+    \vskip\belowcaptionskip
+  \fi
+\relax
+}
+\newskip\abovecaptionskip \abovecaptionskip=12pt \relax
+\newskip\belowcaptionskip \belowcaptionskip=12pt \relax
+\newdimen\captionindent \captionindent=3pc
+\def\nonbreakingspace{\unskip\nobreak\ \ignorespaces}
+\def~{\protect\nonbreakingspace}
+\def\@biblabel#1{\@ifnotempty{#1}{[#1]}}
+\def\@citestyle{\m@th\upshape\mdseries}
+\def\citeform#1{{\bfseries#1}}
+\def\@cite#1#2{{%
+  \@citestyle[\citeform{#1}\if@tempswa, #2\fi]}}
+\@ifundefined{cite }{%
+  \expandafter\let\csname cite \endcsname\cite
+  \edef\cite{\@nx\protect\@xp\@nx\csname cite \endcsname}%
+}{}
+\def\fullwidthdisplay{\displayindent\z@ \displaywidth\columnwidth}
+\edef\@tempa{\noexpand\fullwidthdisplay\the\everydisplay}
+\everydisplay\expandafter{\@tempa}
+\newcommand*\seeonlyname{see}
+\newcommand*\seename{see also}
+\newcommand*\alsoname{see also}
+\newcommand*\seeonly[2]{\emph{\seeonlyname} #1}
+\newcommand*\see[2]{\emph{\seename} #1}
+\newcommand*\seealso[2]{\emph{\alsoname} #1}
+\newcommand\printindex{\@input{\jobname.ind}}
+\DeclareRobustCommand\textprime{\leavevmode
+  \raise.8ex\hbox{\check@mathfonts\the\scriptfont2 \char48 }}
+
+\newcommand{\theoremstyle}[1]{%
+  \@ifundefined{th@#1}{%
+    \PackageWarning{amsthm}{Unknown theoremstyle `#1'}%
+    \thm@style{plain}%
+  }{%
+    \thm@style{#1}%
+  }%
+}
+\newtoks\thm@style
+\thm@style{plain}
+\newtoks\thm@bodyfont  \thm@bodyfont{\itshape}
+\newtoks\thm@headfont  \thm@headfont{\bfseries}
+\newtoks\thm@notefont  \thm@notefont{}
+\newtoks\thm@headpunct \thm@headpunct{.}
+\newskip\thm@preskip \newskip\thm@postskip
+\def\thm@space@setup{%
+  \thm@preskip=.5\baselineskip\@plus.2\baselineskip
+                             \@minus.2\baselineskip
+  \thm@postskip=\thm@preskip
+}
+\renewcommand{\newtheorem}{\@ifstar{\@xnthm *}{\@xnthm \relax}}
+\def\@xnthm#1#2{%
+  \let\@tempa\relax
+  \@xp\@ifdefinable\csname #2\endcsname{%
+    \global\@xp\let\csname end#2\endcsname\@endtheorem
+    \ifx *#1% unnumbered, need to get one more mandatory arg
+      \edef\@tempa##1{%
+        \gdef\@xp\@nx\csname#2\endcsname{%
+          \@nx\@thm{\@xp\@nx\csname th@\the\thm@style\endcsname}%
+            {}{##1}}}%
+    \else % numbered theorem, need to check for optional arg
+      \def\@tempa{\@oparg{\@ynthm{#2}}[]}%
+    \fi
+  }%
+  \@tempa
+}
+\def\@ynthm#1[#2]#3{%
+  \ifx\relax#2\relax
+    \def\@tempa{\@oparg{\@xthm{#1}{#3}}[]}%
+  \else
+    \@ifundefined{c@#2}{%
+      \def\@tempa{\@nocounterr{#2}}%
+    }{%
+      \@xp\xdef\csname the#1\endcsname{\@xp\@nx\csname the#2\endcsname}%
+      \toks@{#3}%
+      \@xp\xdef\csname#1\endcsname{%
+        \@nx\@thm{%
+          \let\@nx\thm@swap
+            \if S\thm@swap\@nx\@firstoftwo\else\@nx\@gobble\fi
+          \@xp\@nx\csname th@\the\thm@style\endcsname}%
+            {#2}{\the\toks@}}%
+      \let\@tempa\relax
+    }%
+  \fi
+  \@tempa
+}
+\def\@xthm#1#2[#3]{%
+  \ifx\relax#3\relax
+    \newcounter{#1}%
+  \else
+    \newcounter{#1}[#3]%
+    \@xp\xdef\csname the#1\endcsname{\@xp\@nx\csname the#3\endcsname
+      \@thmcountersep\@thmcounter{#1}}%
+  \fi
+  \toks@{#2}%
+  \@xp\xdef\csname#1\endcsname{%
+    \@nx\@thm{%
+      \let\@nx\thm@swap
+        \if S\thm@swap\@nx\@firstoftwo\else\@nx\@gobble\fi
+      \@xp\@nx\csname th@\the\thm@style\endcsname}%
+      {#1}{\the\toks@}}%
+}
+\def\@thm#1#2#3{%
+  \ifhmode\unskip\unskip\par\fi
+  \normalfont
+  \trivlist
+  \let\thmheadnl\relax
+  \let\thm@swap\@gobble
+  \let\thm@indent\indent % indent
+  \thm@headfont{\scshape}% heading font small caps
+  \thm@notefont{\fontseries\mddefault\upshape}%
+  \thm@headpunct{.}% add period after heading
+  \thm@headsep 5\p@ plus\p@ minus\p@\relax
+  \thm@space@setup
+  #1% style overrides
+  \@topsep \thm@preskip               % used by thm head
+  \@topsepadd \thm@postskip           % used by \@endparenv
+  \def\@tempa{#2}\ifx\@empty\@tempa
+    \def\@tempa{\@oparg{\@begintheorem{#3}{}}[]}%
+  \else
+    \refstepcounter{#2}%
+    \def\@tempa{\@oparg{\@begintheorem{#3}{\csname the#2\endcsname}}[]}%
+  \fi
+  \@tempa
+}
+\def\@restorelabelsep{\relax}
+\let\@ythm\relax
+\let\thmname\@iden \let\thmnote\@iden \let\thmnumber\@iden
+\providecommand\@upn{\textup}
+\def\thmhead@plain#1#2#3{%
+  \thmname{#1}\thmnumber{\@ifnotempty{#1}{ }\@upn{#2}}%
+  \thmnote{ {\the\thm@notefont(#3)}}}
+\let\thmhead\thmhead@plain
+\def\swappedhead#1#2#3{%
+  \thmnumber{\@upn{\@secnumfont#2\@ifnotempty{#1}{.~}}}%
+  \thmname{#1}%
+  \thmnote{ {\the\thm@notefont(#3)}}}
+\let\swappedhead@plain=\swappedhead
+\let\thmheadnl\relax
+\let\thm@indent\noindent
+\let\thm@swap\@gobble
+\def\@begintheorem#1#2[#3]{%
+  \deferred@thm@head{\the\thm@headfont \thm@indent
+    \@ifempty{#1}{\let\thmname\@gobble}{\let\thmname\@iden}%
+    \@ifempty{#2}{\let\thmnumber\@gobble}{\let\thmnumber\@iden}%
+    \@ifempty{#3}{\let\thmnote\@gobble}{\let\thmnote\@iden}%
+    \thm@swap\swappedhead\thmhead{#1}{#2}{#3}%
+    \the\thm@headpunct
+    \thmheadnl % possibly a newline.
+    \hskip\thm@headsep
+  }%
+  \ignorespaces}
+\newskip\thm@headsep
+\thm@headsep=5pt plus1pt minus1pt\relax
+\let\adjust@parskip@nobreak=\@nbitem
+\newtoks\dth@everypar
+\dth@everypar={%
+  \@minipagefalse \global\@newlistfalse
+  \@noparitemfalse
+  \if@inlabel
+    \global\@inlabelfalse
+    \begingroup \setbox\z@\lastbox
+     \ifvoid\z@ \kern-\itemindent \fi
+    \endgroup
+    \unhbox\@labels
+  \fi
+  \if@nobreak \@nobreakfalse \clubpenalty\@M
+  \else \clubpenalty\@clubpenalty \everypar{}%
+  \fi
+}%
+\def\deferred@thm@head#1{%
+  \if@inlabel \indent \par \fi % eject a section head if one is pending
+  \if@nobreak
+    \adjust@parskip@nobreak
+  \else
+    \addpenalty\@beginparpenalty
+    \addvspace\@topsep
+    \addvspace{-\parskip}%
+  \fi
+  \global\@inlabeltrue
+  \everypar\dth@everypar
+  \sbox\@labels{\normalfont#1}%
+  \ignorespaces
+}
+\def\nonslanted{\relax
+  \@xp\let\@xp\@tempa\csname\f@shape shape\endcsname
+  \ifx\@tempa\itshape\upshape
+  \else\ifx\@tempa\slshape\upshape\fi\fi}
+\def\swapnumbers{\edef\thm@swap{\if S\thm@swap N\else S\fi}}
+\def\thm@swap{N}%
+\let\@opargbegintheorem\relax
+\def\th@plain{%
+%%  \let\thm@indent\noindent % no indent
+%%  \thm@headfont{\bfseries}% heading font is bold
+%%  \thm@notefont{}% same as heading font
+%%  \thm@headpunct{.}% add period after heading
+%%  \let\thm@swap\@gobble
+%%  \thm@preskip\topsep
+%%  \thm@postskip\theorempreskipamount
+  \itshape % body font
+}
+\def\th@definition{%
+  \normalfont % body font
+}
+\def\th@remark{%
+  \normalfont % body font
+}
+\def\@endtheorem{\endtrivlist\@endpefalse }
+\newcommand{\newtheoremstyle}[9]{%
+  \@ifempty{#5}{\dimen@\z@skip}{\dimen@#5\relax}%
+  \ifdim\dimen@=\z@
+    \toks@{#4\let\thm@indent\noindent}%
+  \else
+    \toks@{#4\def\thm@indent{\noindent\hbox to#5{}}}%
+  \fi
+  \def\@tempa{#8}\ifx\space\@tempa
+    \toks@\@xp{\the\toks@ \thm@headsep\fontdimen\tw@\font\relax}%
+  \else
+    \def\@tempb{\newline}%
+    \ifx\@tempb\@tempa
+      \toks@\@xp{\the\toks@ \thm@headsep\z@skip
+        \def\thmheadnl{\newline}}%
+    \else
+      \toks@\@xp{\the\toks@ \thm@headsep#8\relax}%
+    \fi
+  \fi
+  \begingroup
+  \thm@space@setup
+  \@defaultunits\@tempskipa#2\thm@preskip\relax\@nnil
+  \@defaultunits\@tempskipb#3\thm@postskip\relax\@nnil
+  \xdef\@gtempa{\thm@preskip\the\@tempskipa
+    \thm@postskip\the\@tempskipb\relax}%
+  \endgroup
+  \@temptokena\@xp{\@gtempa
+    \thm@headfont{#6}\thm@headpunct{#7}%
+  }%
+  \@ifempty{#9}{%
+    \let\thmhead\thmhead@plain
+  }{%
+    \@namedef{thmhead@#1}##1##2##3{#9}%
+    \@temptokena\@xp{\the\@temptokena
+      \@xp\let\@xp\thmhead\csname thmhead@#1\endcsname}%
+  }%
+  \@xp\xdef\csname th@#1\endcsname{\the\toks@ \the\@temptokena}%
+}
+\DeclareRobustCommand{\qed}{%
+  \ifmmode \mathqed
+  \else
+    \leavevmode\unskip\penalty9999 \hbox{}\nobreak\hfill
+    \quad\hbox{\qedsymbol}%
+  \fi
+}
+\let\QED@stack\@empty
+\let\qed@elt\relax
+\newcommand{\pushQED}[1]{%
+  \toks@{\qed@elt{#1}}\@temptokena\expandafter{\QED@stack}%
+  \xdef\QED@stack{\the\toks@\the\@temptokena}%
+}
+\newcommand{\popQED}{%
+  \begingroup\let\qed@elt\popQED@elt \QED@stack\relax\relax\endgroup
+}
+\def\popQED@elt#1#2\relax{#1\gdef\QED@stack{#2}}
+\newcommand{\qedhere}{%
+  \begingroup \let\mathqed\math@qedhere
+    \let\qed@elt\setQED@elt \QED@stack\relax\relax \endgroup
+}
+\newif\ifmeasuring@
+\newif\iffirstchoice@ \firstchoice@true
+\def\setQED@elt#1#2\relax{%
+  \ifmeasuring@
+  \else \iffirstchoice@ \gdef\QED@stack{\qed@elt{}#2}\fi
+  \fi
+  #1%
+}
+\def\qed@warning{%
+  \PackageWarning{amsthm}{The \@nx\qedhere command may not work
+    correctly here}%
+}
+\newcommand{\mathqed}{\quad\hbox{\qedsymbol}}
+\def\linebox@qed{\hfil\hbox{\qedsymbol}\hfilneg}
+\@ifpackageloaded{amsmath}{%
+  \def\math@qedhere{%
+    \@ifundefined{\@currenvir @qed}{%
+      \qed@warning\quad\hbox{\qedsymbol}%
+    }{%
+      \@xp\aftergroup\csname\@currenvir @qed\endcsname
+    }%
+  }
+  \def\displaymath@qed{%
+    \relax
+    \ifmmode
+      \ifinner \aftergroup\linebox@qed
+      \else
+        \eqno
+        \let\eqno\relax \let\leqno\relax \let\veqno\relax
+        \hbox{\qedsymbol}%
+      \fi
+    \else
+       \aftergroup\linebox@qed
+    \fi
+  }
+  \@xp\let\csname equation*@qed\endcsname\displaymath@qed
+  \def\equation@qed{%
+    \iftagsleft@
+      \hbox{\phantom{\quad\qedsymbol}}%
+      \gdef\alt@tag{%
+        \rlap{\hbox to\displaywidth{\hfil\qedsymbol}}%
+        \global\let\alt@tag\@empty
+      }%
+    \else
+      \gdef\alt@tag{%
+        \global\let\alt@tag\@empty
+        \vtop{\ialign{\hfil####\cr
+                \tagform@\theequation\cr
+                \qedsymbol\cr}}%
+        \setbox\z@
+      }%
+    \fi
+  }
+  \def\qed@tag{%
+    \global\tag@true \nonumber
+    &\omit\setboxz@h {\strut@ \qedsymbol}\tagsleft@false
+    \place@tag@gather
+    \kern-\tabskip
+    \ifst@rred \else \global\@eqnswtrue \fi \global\advance\row@\@ne \cr
+  }
+  \def\split@qed{%
+    \def\endsplit{\crcr\egroup \egroup \ctagsplit@false \rendsplit@
+      \aftergroup\align@qed
+    }%
+  }
+  \def\align@qed{%
+    \ifmeasuring@ \tag*{\qedsymbol}%
+    \else \let\math@cr@@@\qed@tag
+    \fi
+  }
+  \@xp\let\csname align*@qed\endcsname\align@qed
+  \@xp\let\csname gather*@qed\endcsname\align@qed
+%% Needs some patching up for amsmath 1.2
+}{% end of amsmath branch, start plain LaTeX branch
+  \def\math@qedhere{%
+    \@ifundefined{\@currenvir @qed}{%
+      \qed@warning \aftergroup\displaymath@qed
+    }{%
+      \@xp\aftergroup\csname\@currenvir @qed\endcsname
+    }%
+  }
+  \def\displaymath@qed{%
+    \relax
+    \ifmmode
+      \ifinner \aftergroup\aftergroup\aftergroup\linebox@qed
+      \else
+        \eqno \def\@badmath{$$}%
+        \let\eqno\relax \let\leqno\relax \let\veqno\relax
+        \hbox{\qedsymbol}%
+      \fi
+    \else
+       \aftergroup\linebox@qed
+    \fi
+  }
+  \@ifundefined{ver@leqno.clo}{%
+    \def\equation@qed{\displaymath@qed \quad}%
+  }{%
+    \def\equation@qed{\displaymath@qed}%
+  }
+  \def\@tempa#1$#2#3\@nil{%
+    \def\[{#1$#2\def\@currenvir{displaymath}#3}%
+  }%
+  \expandafter\@tempa\[\@nil
+}
+\@ifpackageloaded{amstex}{%
+  \def\@tempa{TT}%
+}{%
+  \@ifpackageloaded{amsmath}{%
+    \def\@tempb#1 v#2.#3\@nil{#2}%
+    \ifnum\@xp\@xp\@xp\@tempb\csname ver@amsmath.sty\endcsname v0.0\@nil
+       <\tw@
+      \def\@tempa{TT}%
+    \else
+      \def\@tempa{TF}%
+    \fi
+  }{%
+    \def\@tempa{TF}
+  }%
+}
+\if\@tempa
+  \renewcommand{\math@qedhere}{\quad\hbox{\qedsymbol}}%
+\fi
+\newcommand{\openbox}{\leavevmode
+  \hbox to.77778em{%
+  \hfil\vrule
+  \vbox to.675em{\hrule width.6em\vfil\hrule}%
+  \vrule\hfil}}
+\DeclareRobustCommand{\textsquare}{%
+  \begingroup \usefont{U}{msa}{m}{n}\thr@@\endgroup
+}
+\@ifclasswith{\@classname}{noamsfonts}{%
+  \providecommand{\qedsymbol}{\openbox}%
+}{}
+\providecommand{\qedsymbol}{\textsquare}
+\newenvironment{proof}[1][\proofname]{\par
+  \pushQED{\qed}%
+  \normalfont \topsep6\p@\@plus6\p@\relax
+  \trivlist
+  \itemindent\normalparindent
+  \item[\hskip\labelsep
+        \scshape
+    #1\@addpunct{.}]\ignorespaces
+}{%
+  \popQED\endtrivlist\@endpefalse
+}
+\providecommand{\proofname}{Proof}
+\def\bb@skip#1{%
+  \skip@#1\relax \advance\skip@-\prevdepth \advance\skip@-\baselineskip
+  \vskip\skip@}
+\def\markleft#1{{\let\protect\noexpand
+    \let\label\relax \let\index\relax \let\glossary\relax
+    \expandafter\@markleft\@themark{#1}%
+    \mark{\@themark}}%
+  \if@nobreak\ifvmode\nobreak\fi\fi}
+\def\@markleft#1#2#3{\gdef\@themark{{#3}{#2}}}
+\def\@tempa{}
+\edef\@dh{%
+  \noexpand\mathhexbox{\hexnumber@\symAMSb}67}
+\DeclareTextCommand{\dh}{OT1}{%
+  \edef\@tempb{\scdefault}%
+  \ifx\f@shape\@tempb
+    \leavevmode
+    \raisebox{-.8ex}{\makebox[\z@][l]{\hskip-.08em\accent"16\hss}}d%
+  \else
+    \@dh
+  \fi
+}
+\DeclareTextCommand{\DH}{OT1}{%
+  \leavevmode\raisebox{-.5ex}{\makebox[\z@][l]{\hskip-.07em\accent"16\hss}}D}
+\DeclareTextCommand{\DJ}{OT1}{%
+  \leavevmode\raisebox{-.5ex}{\makebox[\z@][l]{\hskip-.07em\accent"16\hss}}D}
+\DeclareTextCommand{\dj}{OT1}{%
+  \edef\@tempa{\f@shape}\edef\@tempb{\scdefault}%
+  \ifx\@tempa\@tempb
+    \leavevmode
+    \raisebox{-.75ex}{\makebox[\z@][l]{\hskip-.08em\accent"16\hss}}d%
+  \else
+    \leavevmode\raisebox{.02ex}{\makebox[\z@][l]{\hskip.1em\accent"16\hss}}d%
+  \fi}
+\hyphenation{acad-e-my acad-e-mies af-ter-thought anom-aly anom-alies
+an-ti-deriv-a-tive an-tin-o-my an-tin-o-mies apoth-e-o-ses
+apoth-e-o-sis ap-pen-dix ar-che-typ-al as-sign-a-ble as-sist-ant-ship
+as-ymp-tot-ic asyn-chro-nous at-trib-uted at-trib-ut-able bank-rupt
+bank-rupt-cy bi-dif-fer-en-tial blue-print busier busiest
+cat-a-stroph-ic cat-a-stroph-i-cally con-gress cross-hatched data-base
+de-fin-i-tive de-riv-a-tive dis-trib-ute dri-ver dri-vers eco-nom-ics
+econ-o-mist elit-ist equi-vari-ant ex-quis-ite ex-tra-or-di-nary
+flow-chart for-mi-da-ble forth-right friv-o-lous ge-o-des-ic
+ge-o-det-ic geo-met-ric griev-ance griev-ous griev-ous-ly
+hexa-dec-i-mal ho-lo-no-my ho-mo-thetic ideals idio-syn-crasy
+in-fin-ite-ly in-fin-i-tes-i-mal ir-rev-o-ca-ble key-stroke
+lam-en-ta-ble light-weight mal-a-prop-ism man-u-script mar-gin-al
+meta-bol-ic me-tab-o-lism meta-lan-guage me-trop-o-lis
+met-ro-pol-i-tan mi-nut-est mol-e-cule mono-chrome mono-pole
+mo-nop-oly mono-spline mo-not-o-nous mul-ti-fac-eted mul-ti-plic-able
+non-euclid-ean non-iso-mor-phic non-smooth par-a-digm par-a-bol-ic
+pa-rab-o-loid pa-ram-e-trize para-mount pen-ta-gon phe-nom-e-non
+post-script pre-am-ble pro-ce-dur-al pro-hib-i-tive pro-hib-i-tive-ly
+pseu-do-dif-fer-en-tial pseu-do-fi-nite pseu-do-nym qua-drat-ic
+quad-ra-ture qua-si-smooth qua-si-sta-tion-ary qua-si-tri-an-gu-lar
+quin-tes-sence quin-tes-sen-tial re-arrange-ment rec-tan-gle
+ret-ri-bu-tion retro-fit retro-fit-ted right-eous right-eous-ness
+ro-bot ro-bot-ics sched-ul-ing se-mes-ter semi-def-i-nite
+semi-ho-mo-thet-ic set-up se-vere-ly side-step sov-er-eign spe-cious
+spher-oid spher-oid-al star-tling star-tling-ly sta-tis-tics
+sto-chas-tic straight-est strange-ness strat-a-gem strong-hold
+sum-ma-ble symp-to-matic syn-chro-nous topo-graph-i-cal tra-vers-a-ble
+tra-ver-sal tra-ver-sals treach-ery turn-around un-at-tached
+un-err-ing-ly white-space wide-spread wing-spread wretch-ed
+wretch-ed-ly Eng-lish Euler-ian Feb-ru-ary Gauss-ian
+Hamil-ton-ian Her-mit-ian Jan-u-ary Japan-ese Kor-te-weg
+Le-gendre Mar-kov-ian Noe-ther-ian No-vem-ber Rie-mann-ian Sep-tem-ber}
+\def\calclayout{\advance\textheight -\headheight
+  \advance\textheight -\headsep
+  \oddsidemargin\paperwidth
+  \advance\oddsidemargin -\textwidth
+  \divide\oddsidemargin\tw@
+  \ifdim\oddsidemargin<.5truein \oddsidemargin.5truein \fi
+  \advance\oddsidemargin -1truein
+  \evensidemargin\oddsidemargin
+  \topmargin\paperheight \advance\topmargin -\textheight
+  \advance\topmargin -\headheight \advance\topmargin -\headsep
+  \divide\topmargin\tw@
+  \ifdim\topmargin<.5truein \topmargin.5truein \fi
+  \advance\topmargin -1truein\relax
+}
+\InputIfFileExists{amsproc.cfg}{}{%
+  \calclayout % initialize
+  \pagenumbering{arabic}%
+  \pagestyle{headings}%
+  \thispagestyle{plain}%
+}
+\if@compatibility \else\endinput\fi
+\def\tiny{\Tiny}
+\def\defaultfont{\normalfont}
+\def\rom{\textup}
+\let\@newpf\proof \let\proof\relax \let\endproof\relax
+\newenvironment{pf}{\@newpf[\proofname]}{\popQED\endtrivlist}
+\newenvironment{pf*}[1]{\@newpf[#1]}{\popQED\endtrivlist}
+\endinput
+%%
+%% End of file `amsproc.cls'.