% RESOURCEamspptSimple ;
% Assumes AmSTeX(version2) loaded, but NOT AmSppt.sty
% These macros are intentionally simple minded and have
% simple syntax; this permits easy alteration (TeX macros are usually
% very devious). Don't hesitate to make alterations,
% but in that case rename this file!
%%% avoid double input
%avoid double input
\bgroup
\catcode`\!=12
\ifx\RESOURCEams\relax
\immediate\write16{}%
\message{ !!! RESOURCEams macros already defined !!!}
\gdef\RESOURCEams{\endinput}%
\else \global\let\RESOURCEams\relax
\fi
\egroup
\RESOURCEams
\catcode`\@=11
%%% The following macros will make you call upon auxiliary files
%% when needed.
\bgroup
\catcode`\!=12
\gdef\Acc{%\show\Acc%
\errmessage{ !!! You need to input RESOURCEamsAcc.tex !!!}\end
}
\gdef\amsCD{%
\errmessage{ !!! You need to input RESOURCEamsCD.tex !!!}\end
}
\gdef\gLinefigure{%
\errmessage{ !!! You need to input RESOURCEfig.tex !!!}\end
}
\egroup
%%% Font macros
%%
\def\Bf#1{{\bf#1}}
\def \Bi #1{{\bi{#1}\unskip\/}}
\def \Admin #1{\begingroup\mathsurround=0 pt
\leavevmode%p222-3: \hskip -\lastskip for \unskip
\ifmmode\hbox{$\roman{{#1}}$}\else$\roman{{#1}}$\fi
\endgroup }%{{}} prevents misinterpretation of naked numbers
%%% Logical formatting
%%
\font \titlefont=cmbx10 scaled 1200
\long\def\Title#1\endTitle{\heading\titlefont#1\endheading}
\long\def\Author#1\endAuthor{\heading\smc #1\endheading}
\def\Subheading{\medskip\goodbreak\subheading}
\let\SubheadingA\Subheading
\let\SubheadingB\Subheading
\let\SubheadingC\Subheading
\let \Theorem\proclaim
\let \endTheorem\endproclaim
%\let\Proof\demo %% make substitution by hand
%\let\endProof\enddemo
\def\Proof{\medskip\goodbreak\noindent
\hbox{\it Proof.\kern 1em}\ignorespaces}
%% A Box for the Quod est demonstrandum:
\def\qedbox{\hbox{\vbox{
\hrule width0.2cm height0.2pt
\hbox to 0.2cm{\vrule height 0.2cm width 0.2pt
\hfil\vrule height0.2cm width 0.2pt}
\hrule width0.2cm height 0.2pt}\kern1pt}}
%% Typing in \qed makes the qedbox right justified:
\def\qed{\ifmmode\qedbox
\else\unskip\ \hglue0mm\hfill\qedbox\medskip
\goodbreak\fi}
\def \Remark#1{\medskip \goodbreak\par\noindent{\smc #1.}}
\def \endRemark{\medskip \goodbreak}
\def \Example#1{\Remark {#1}}
\def \endExample{\medskip \goodbreak}
\def \Definition#1{\Remark {#1}}
\def \endDefinition{\medskip \goodbreak}
\def\ItemStyle{\bold}%
\def \Item #1{\smallskip
\ifhmode\else\nointerlineskip\fi
{\parskip=4pt\noindent
\hbox{$\def\let\relax\let\bf\relax\ItemStyle{{#1}}$}\enskip}}
\def \Itemitem #1{\itemitem{\hbox{$\def\let\relax\let\bf\relax%
\ItemStyle{#1}$}}}
\def \Benchmark { }
\def \References#1{\begingroup \leftskip=25 pt \parskip=4 pt plus 2 pt
\goodbreak \hbox to 1 pt{} \vskip 15 pt plus 10 pt minus 5 pt
\centerline{\bf #1}
\frenchspacing \def \Benchmark{\Refmark }
\def \Refmark##1\cite ##2{%
\par\noindent \llap{\null\cite{##2}\quad}\kern 0pt}
\nobreak\vskip 8pt \nobreak}
\def \endReferences {~\unskip\par\endgroup \medskip\goodbreak }
\def \Footnote #1#2{\plainfootnote{#1}{#2}}
%Symbols macros
\def \preXbox{\hbox{$
\vcenter{\hbox{
\vrule\vbox to 6.7 pt{
\hrule \vfil \hbox to 12 pt{
\hfil}%
\vfil\hrule}%
\vrule}}\hskip 4pt%
$}}
\def \Xbox{\raise -.25pt\hbox{\preXbox}}
\def \Nonsense {{~\unskip \kern-3.5 pt %
\hbox{\mathsurround=0 pt\Xbox \kern -16.5 pt $>\kern-3pt<$}}}
\def \Blackbox
{\leavevmode\hskip .3pt \vbox{\hrule height 6.9pt
\hbox{\hskip 4.5pt}}\hskip .5pt}%
\def \<{{$\mathsurround= 0 pt\raise 1.4
pt\hbox{$\scriptscriptstyle
\langle \kern -1 pt \langle\hskip 2 pt $}$}}
\def \>{{\mathsurround= 0 pt$\hskip 2 pt \raise 1.4
pt\hbox{$\scriptscriptstyle
\rangle \kern -1 pt \rangle$}$}}
\def \Matrix #1{\matrix#1\endmatrix}
\def \amsMatrix #1\endamsMatrix{\matrix#1\endmatrix}
\def\amsCases #1\endamsCases{\cases#1\endcases}
\def\tagform@#1{\hbox{\rm\Pretag\ignorespaces#1\unskip\Posttag}}
\def\Pretag{(}
\def\Posttag{)}
\def\Eqno #1$${\def\Pretag{}\def\Posttag{}
\tag"\Admin{#1}"$$}
\def \Multline#1\endMultline#2$${\def\Pretag{}\def\Posttag{}
\def\Eqno{}\multline#1\endmultline\tag"\Admin{#2\hbox to 1sp{}}"$$}
\def \bigMidvert{\kern4pt \big \vert \kern4pt}
\def \Midvert{\kern3pt \vert \kern3pt}
\def \Sharp {\mathord{\#}}
\def \bigConnectedsum {\mathop{\#}\limits}
\def \Coprod {\mathop{\raise 1.2pt \hbox{$\coprod$}}\limits}
\def \Lim {\lim\limits}
\def \Lbrack {{$[\![$}}
\def \Rbrack {{$]\!]$}}
%%% Binomial coef trick macros mentioned in Sweet-teX manual (rare)
%%
\def \Rparen {\right ) }
\def \Lparen {\futurelet\next \Lptaupe}
\def\Lptaupe{\ifx \next ^ \let\this\LLparen
\else \let\this\LLLparen \fi\this}
\def\LLparen {\left ( \Atop }
\def \Atop ^#1_#2{{#1\atop#2}}
\def\LLLparen {\left (}
%%%%%%%%%%%%%%%% Accents were here
\def \circleover #1{\overset\circ\to {#1}}
\def \Cdot{\mathbin{\raise .4 ex \hbox to 3pt {\hss\bf .\hss}}}
\def \llonguparrow{\bigg\uparrow }
\def \llongdownarrow{\bigg\downarrow}
\def \llongrightarrow{\kern 1pt\mathop
{\kern0pt\longrightarrow\kern1pt}\limits}
\def \llongleftarrow{\kern-2pt\mathop
{\kern3pt\longleftarrow\kern3pt}\limits}
\def \llongtwoheadrarrow {\kern-2pt
\mathop{\kern3pt\longrightarrow \kern-14pt
\longrightarrow\kern3pt}\limits}
\def \llongleftrightarrow {\kern-2pt
\mathop{\kern3pt\longleftrightarrow\kern3pt}\limits}
\def \llongmapsto {\kern-2pt
\mathop{\kern3pt\longmapsto\kern3pt}\limits}
%%%%%%%%%%%%%%%%% CD macros were here
\def\Trademark{\hbox{\Admin{{}^{\scriptscriptstyle TM}}}}
\def \AmS{{\textfontii A}\kern -.1667em\lower .5ex\hbox {\textfontii
M}\kern -.125em{\textfontii S}}
\def\LaTeX{{\rm L\kern-.36em\raise.3ex\hbox{\smc a}\kern-.15em
\TeX}}
\def\Undef{\Nonsense }
%The following correspond to rare Sweet-teX symbols,
%and will produce a X'ed box on your TeX printout
%until something better is devised
\def\Bigasterisk{\Undef}
\def\Control{\Undef}
\def\llongrightarrowtail{\Undef}
\def\llongswarrow{\Undef }
\def\llongsearrow{\Undef }
\def\llongnwarrow{\Undef }
\def\llongnearrow{\Undef }
\def\llongtwoheadrightarrow{\mathbin
{{\longrightarrow} \kern -1850\mu {\rightarrow}}}
\def \Longeq {\mathop{=\kern-5pt=}\limits }
%%%% 4 lines in case cmex pointsizes missing
\font\eightex=cmex10 at 8pt \skewchar\eightex='60
\font\sevenex=cmex10 at 7pt \skewchar\sevenex='60
\font\sixex=cmex10 at 6pt \skewchar\sixex='60
\tenpoint
\catcode`\@=13 %active