%% %% This is file `nyjm.cls', \NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX) [1995/06/01]% LaTeX date must be June 1995 or later \ProvidesClass{nyjm}[2013/03/03] \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} \newcommand{\runhdfnt}{\scshape} \newif\ifpub \DeclareOption{pub}{\pubtrue} \newif\ifallpub \DeclareOption{allpub}{\allpubtrue} \newif\ifmono \DeclareOption{mono}{\monotrue} \newif\ifprint \DeclareOption{black}{\printtrue} \newif\ifhyp \DeclareOption{hyp}{\hyptrue} \newif\if@bs \DeclareOption{abs}{\@bstrue} \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\@setdateposted{% \newline Article electronically published on \@dateposted} \def\article@logo{% \set@logo{% \publname \ifx\@empty\currentvolume \else \newline\volinfo, \pageinfo \fi \newline \@PII \ifx\@empty\@dateposted \else \@setdateposted\fi }% } \def\eonly@logo{% \set@logo{% \publname \newline\volinfo, \pageinfo \ifx\@empty\@dateposted \else \@setdateposted\fi \newline \@PII }% } \def\@logofont{\fontsize{6}{7\p@}\selectfont} \long\def\set@logo#1{% \vbox to\headheight{% \@parboxrestore \@logofont \noindent#1\par\vss }% } \DeclareOption{e-only}{% \def\volinfo{Volume \currentvolume}% \dateposted{Xxxx XX, XXXX}% \def\@setdateposted{\ (\@dateposted)}% \let\article@logo\eonly@logo } \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=24pt \textheight=50pc \topskip=10pt \textwidth=30pc \columnsep=10pt \columnseprule=0pt \marginparwidth=90pt \marginparsep=11pt \marginparpush=5pt \AtBeginDocument{\settoheight{\footnotesep}{\footnotesize M$^1$}% \if@bs\RequirePackage{crop}\begin{cropbox}\hidecontrols\fi} \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=12pt \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}\runhdfnt% \leftmark{}{}\hfil}% \def\@oddhead{% \setTrue{runhead}% \normalfont\scriptsize \hfil \def\thanks{\protect\thanks@warning}\runhdfnt% \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 %%%@@@ \ifhyp\ifprint\newcommand{\copylinkcolor}{black}\else\newcommand{\copylinkcolor}{blue}\fi \AtBeginDocument{%\RequirePackage{hyperref} \newcommand{\shlabel}[1]{\hypertarget{#1}{#1}} \newcommand{\shref}[1]{\hyperref{#1}{#1}} \newcommand{\mrev}[1]{\href{http://www.ams.org/mathscinet-getitem?mr=#1}{MR#1}} \newcommand{\zbl}[1]{\href{http://www.emis.de/cgi-bin/MATH-item?#1}{Zbl #1}} \newcommand{\jfm}[1]{\href{http://www.emis.de/cgi-bin/MATH-item?#1}{JFM #1}} \newcommand{\eram}[1]{\href{http://www.emis.de/cgi-bin/MATH-item?#1}{ERAM #1}} \newcommand{\arx}[1]{\href{http://arXiv.org/abs/#1}{arXiv:#1}} \hypersetup{colorlinks} \hypersetup{pdfstartview=FitBH,pdfview=FitBH,breaklinks=true,raiselinks=true,nesting=true} \hypersetup{linkcolor=\copylinkcolor,citecolor=\copylinkcolor,filecolor=\copylinkcolor,urlcolor=\copylinkcolor,pdfpagemode=UseNone,pdfnewwindow=true} } \else \newcommand{\shlabel}[1]{{#1}} \newcommand{\shref}[1]{{#1}} \newcommand{\mrev}[1]{{MR#1}} \newcommand{\zbl}[1]{{Zbl #1}} \newcommand{\jfm}[1]{{JFM #1}} \newcommand{\eram}[1]{{ERAM #1}} \newcommand{\arx}[1]{{arXiv:#1}} \fi \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 } \newcommand{\papnum}[1]{\def\papnumber{#1}} \let\contribs\@empty \let\xcontribs\@empty \let\toccontribs\@empty \let\addresses\@empty \let\thankses\@empty \let\papernum\@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{\if@bs\end{cropbox}\else\ifx\@empty\@translators \else\@settranslators\fi\fi \ifx\@empty\addresses \else\@setaddresses\fi\ifallpub\@setpaphomepage\label{finalpage}\fi} \AtEndDocument{\enddoc@text} \def\curraddrname{{\itshape Current address}} \def\emailaddrname{} \def\urladdrname{} \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\noindent \@ifnotempty{##1}{(\ignorespaces##1\unskip) }% {\scshape\ignorespaces##2}\par\endgroup}% \def\curraddr##1##2{\begingroup \@ifnotempty{##2}{\nobreak\noindent\curraddrname \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space ##2\par}\endgroup}% \def\email##1##2{\begingroup \@ifnotempty{##2}{\nobreak\noindent\emailaddrname \@ifnotempty{##1}{, \ignorespaces##1\unskip}% \ttfamily##2\par}\endgroup}% \def\urladdr##1##2{\begingroup \def~{\char`\~}% \@ifnotempty{##2}{\nobreak\noindent\urladdrname \@ifnotempty{##1}{, \ignorespaces##1\unskip}% \ttfamily##2\par}\endgroup}% \addresses \endgroup } \newcommand{\recdate}[1]{\gdef\@recdate{#1}} \let\@recdate\@empty \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\commby#1{\def\@commby{(Communicated by #1)}} \let\@commby=\@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 \if@bs\thispagestyle{void}\else\thispagestyle{firstpage}\fi% this sets first page specifications \uppercasenonmath\shorttitle \ifx\@empty\shortauthors \let\shortauthors\shorttitle \else \andify\shortauthors \fi \@maketitle@hook \def\@setrecdate{\ifx\@empty\@recdate% \@footnotetext{\bfseries Please supply date!} \else\@footnotetext{Received \@recdate.}\fi} \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\commby \do\@commby \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}% \if@bs\else\global\topskip42\p@\relax % 5.5pc " " " " " \@settitle \ifx\@empty\authors \else \@setauthors \fi \ifx\@empty\@dedicatory \else \baselineskip18\p@ \vtop{\centering{\footnotesize\itshape\@dedicatory\@@par}% \global\dimen@i\prevdepth}\prevdepth\dimen@i\fi \fi \@setabstract \normalsize \if@titlepage \newpage \else \dimen@20\p@ \advance\dimen@-\baselineskip \vskip\dimen@ plus 14\p@\relax \fi } % end \@maketitle \def\@adminfootnotes{% \let\@makefnmark\relax \let\@thefnmark\relax \ifpub\@setrecdate\fi \ifpub\else\if@bs \else\ifx\@empty\@date\else\@footnotetext{\@setdate}\fi\fi\fi \if@bs\else\ifx\@empty\@subjclass\else\@footnotetext{\@setsubjclass}\fi\fi \if@bs\else\ifx\@empty\@keywords\else\@footnotetext{\@setkeywords}\fi\fi \if@bs\else\ifx\@empty\thankses\else \@footnotetext{% \def\par{\let\par\@par}\@setthanks}\fi\fi %\ifx\@empty\@date\else \@footnotetext{\@setdate}\fi %\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{\article@logo}% }% } \AtBeginDocument{% \@ifundefined{volinfo}{% \def\volinfo{% Volume \currentvolume, Number \number0\currentissue \if\@printyear , \currentmonth\ \currentyear\fi }% }{}% } \def\@printyear{TF}% boolean false \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} \AtBeginDocument{% \@ifundefined{pageinfo}{% \def\pageinfo{% \ifnum\start@page=\z@ Pages 000--000 \else \ifx\start@page\end@page Page \start@page \else Pages \start@page--\end@page \fi \fi}% }{}% } \@ifundefined{ISSN}{\def\ISSN{0000-0000}}{} \newcommand\PII[1]{\def\@PII{#1}} \PII{S \ISSN(XX)0000-0} \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 } \newif\if@revertcopyright \@revertcopyrightfalse \newcommand{\revertcopyright}{% \global\@revertcopyrighttrue \global\@extracrlinetrue} \def\@revertcrfontsize{\fontsize{6}{7\p@}\normalfont\upshape} \def\@extracrline{% \if@revertcopyright \unskip\\ \@revertcrfontsize Reverts to public domain 28 years from publication \fi } \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} \@namedef{subjclassname@2010}{% \textup{2010} Mathematics Subject Classification} \def\@tempb{nyjm} \ifx\@classname\@tempb \newcommand{\datename}{\textit{Date}:} \else \newcommand{\datename}{Received} \fi \def\@settitle{\begin{center}\LARGE\bfseries\mathversion{bold}\@title\end{center}% % \baselineskip14\p@\relax % \bfseries %\uppercasenonmath\@title % \@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\footnotesize \@topsep28\p@\relax \advance\@topsep by -\baselineskip \item\relax \author@andify\authors\Large\bfseries \def\\{\protect\linebreak}% \leavevmode\authors% \ifx\@empty\contribs \else ,\penalty-3 \space \@setcontribs \@closetoccontribs \fi \endtrivlist \endgroup } \def\@closetoccontribs{} \def\@setcontribs{% \@xcontribs \MakeUppercase{\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 }% } \def\@secnumfont{\bfseries} \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 }% \@ifempty{#8}{% \ifnum #2=\tw@ \def\@secnumfont{\bfseries}\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 {\Roman{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\Large\bfseries\mathversion{bold}\centering}} \def\specialsection{\@startsection{section}{1}% \z@{\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\large\bfseries\mathversion{bold}\raggedright}} \def\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\large\bfseries\mathversion{bold}\raggedright}} \def\subsection{\@startsection{subsection}{2}% \z@{.5\linespacing\@plus.7\linespacing}{-6.001\p@\@plus2\p@}% {\normalfont\bfseries\mathversion{bold}}} \def\subsubsection{\@startsection{subsubsection}{3}% \z@{.5\linespacing\@plus.7\linespacing}{-.5em}% {\normalfont\bfseries\mathversion{bold}}} \def\paragraph{\@startsection{paragraph}{4}% \z@\z@{-\fontdimen2\font}% {\normalfont\itshape}} \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 } \newcommand{\@pnumwidth}{1.6em} \newcommand{\@tocrmarg}{2.6em} \setcounter{tocdepth}{2} \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{20\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}{2pt}{1pc}{}{}} \newcommand{\tocsection}[3]{% \indentlabel{\@ifnotempty{#2}{\ignorespaces#1 #2.\quad}}#3} \def\l@subsection{\@tocline{2}{2pt}{3pc}{5pc}{}} \let\tocsubsection\tocsection \def\l@subsubsection{\@tocline{3}{2pt}{5pc}{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}{}{}} \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} \let\citeform\@firstofone \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\noindent % no indent \thm@headfont{\bfseries}% heading font bold \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{% \thm@headfont{\itshape}% \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 \item[\hskip\labelsep \bfseries #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 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-\headsep \divide\topmargin\tw@ \ifdim\topmargin<.5truein \topmargin.5truein \fi \advance\topmargin -1truein\relax } \InputIfFileExists{nyjm.cfg}{}{% \calclayout % initialize \pagenumbering{arabic}% \pagestyle{headings}% \thispagestyle{plain}% \newcounter{pubyr} \newcounter{pubvol} \newcounter{papnum} \newcounter{firstpage} \ifpub\AtBeginDocument{\RequirePackage{nyjmlogo}\allpubtrue}\fi \ifmono\AtBeginDocument{\RequirePackage{monologo}\allpubtrue}\fi } \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 `nyjm.cls'.