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Diffstat (limited to 'Master/texmf-dist/tex/latex/amslatex/amsproc.cls')
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diff --git a/Master/texmf-dist/tex/latex/amslatex/amsproc.cls b/Master/texmf-dist/tex/latex/amslatex/amsproc.cls new file mode 100644 index 00000000000..a85c122203c --- /dev/null +++ b/Master/texmf-dist/tex/latex/amslatex/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'. |