\input psfig.sty

\tolerance=4000
\magnification=\magstep1
\parskip=4pt plus 6pt

% \baselineskip=24pt

\font\eightrm=cmr8
\font\bigbf=cmbx12
\font\bigit=cmti12
\font\vbigbf=cmbx12 scaled \magstep1

% \font\tencmr=cmr10
% \font\eightcmr=cmr8
% \font\sevencmr=cmr7
% \font\fivecmr=cmr5
% \newfam\cmrfam
% \textfont\cmrfam=\tencmr
% \scriptfont\cmrfam=\sevencmr
% \scriptscriptfont\cmrfam=\fivecmr
% \def\cmr{\fam\cmrfam}
% 
% 

\font\eusml=eusm10
\font\eusms=eusm7
\font\eusmf=eusm5
\newfam\eusmfam
\textfont\eusmfam=\eusml
\scriptfont\eusmfam=\eusms
\scriptscriptfont\eusmfam=\eusmf
\def\eusm{\fam\eusmfam}
% 
% \font\tenbf=cmbx10
% \font\eightbf=cmbx8
% \font\sevenbf=cmbx7
% \font\fivebf=cmbx5
% \newfam\cmbxfam
% \textfont\cmbxfam=\tenbf
% \scriptfont\cmbxfam=\sevenbf
% \scriptscriptfont\cmbxfam=\fivebf
% \def\cmbx{\fam\cmbxfam}
% 
% \font\tenmsbm=msbm10
% \font\sevenmsbm=msbm7
% \font\fivemsbm=msbm5
% \newfam\msbmfam
% \textfont\msbmfam=\tenmsbm
% \scriptfont\msbmfam=\sevenmsbm
% \scriptscriptfont\msbmfam=\fivemsbm
% \def\msbm{\fam\msbmfam}

\def\cmr{\rm}
\def\cmbx{\bf}
\def\msbm{\Bbb}
 
\def\III{{\sevenrm III}}
\def\II{{\sevenrm II}}
\def\I{{\sevenrm I}}

% \def\NN{{\msbm N}}
% \def\ZZ{{\msbm Z}}
% \def\QQ{{\msbm Q}}
% \def\RR{{\msbm R}}
% \def\CC{{\msbm C}}
% \def\TT{{\msbm T}}
% \def\SS{{\msbm S}}
% \def\BB{{\msbm B}}

\def\rdois{{\RR^2}}
\def\Rdois{\RR^2}

\def\hbk{\hfill \break}
\def\nobf{\noindent \bf}
\def\nobigbf{\noindent\bigbf}

% \def\qed{\unskip\nobreak
% \hfil\penalty50\hskip1.75em\null\nobreak\hfil\fullsquare
% {\parfillskip=0pt \finalhyphendemerits=0 \par}}
% \def\qede{\unskip\nobreak
% \hfil\penalty50\hskip1.75em\null\nobreak\hfil\emptysquare
% {\parfillskip=0pt \finalhyphendemerits=0 \par}}
% 
% \def\fullsquare{{\vrule height6pt width6pt depth0pt}}
% \def\emptysquare{{\hbox{\vrule height6pt width0.6pt depth0pt%
% \vbox{\hrule height0.6pt width4.8pt depth0pt%
% \vglue4.8pt%
% \hrule height0.6pt width4.8pt depth0pt}%
% \vrule height6pt width0.6pt depth0pt}}}
 
\def\meti#1{\par\indent\llap{#1\enspace}\ignorespaces}

%\hfill\vrule height3pt width6pt depth3pt\smallskip}}

\def\bu{{$\circ$}}
\def\itembu#1{\item{$\circ$}{#1}}

\def\xoyo{(x_0,y_0)}
\def\gi{\Gamma_i}
\def\fgi{F(\Gamma_i)}

\def\Id{{\cmbx Id}}
\def\id{{\cmbx Id}}
\def\im{{\cmbx im}}
\def\rr{{\cmbx r}}
\def\ll{{\cmbx l}}
\def\vv{{\cmbx v}}
\def\uu{{\cmbx u}}
\def\xx{{\cmbx x}}
\def\yy{{\cmbx y}}
\def\zz{{\cmbx z}}

\def\Fa{{{\cal F}_a}}
\def\Fb{{{\cal F}_b}}
\def\Fc{{{\cal F}_c}}
\def\Fx{{\cal F}}
\def\Cx{{\cal C}}

\def\Fbd{{\bf F}}
\def\Sbd{{\bf S}}
\def\Fabd{{{\eusm F}_a}}
\def\Fbbd{{{\eusm F}_b}}
\def\Fcbd{{{\eusm F}_c}}

\def\wz{{\cal W}}

% \def\xtau{{\eusm T}}

\def\sgn{{\cmr sgn}}

\def\Cbu{{C_\bullet}}
\def\Fbu{{F_\bullet}}
\def\fbu{{f_\bullet}}
\def\ki{{\kappa_{\rm int}}}
\def\ke{{\kappa_{\rm ext}}}

\def\sP{{\cal P}}

\def\emptyset{\varnothing}

\mathchardef\braceld="37A
\mathchardef\bracerd="37B

\def\m@th{\mathsurround=0pt }

\def\downbrakfill{$\m@th
\;\braceld\leaders\vrule\hfill\bracerd\;$}

\def\overbrak#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3pt}
\downbrakfill\crcr\noalign{\kern3pt\nointerlineskip}
$\hfil\displaystyle{#1}\hfil$\crcr}}}\limits}

\def\overline{\bar}

\def\sG{{\cal G}}
\def\Gm{{\cal G}}
\def\sM{{\cal M}}
\def\sR{{\cal R}}
\def\taub{{\overline\tau}}
\def\tr{{\hbox{tr}}}
\def\sc{{\sqrt{5}}}
\def\om{\omega}
\def\omb{{\overline\omega}}

\def\image{\hbox{image }}
\def\arctanh{\hbox{arctanh}}
\def\aux{\hbox{\fiverm aux}}
\def\fancyone{{\bf 1}}
\input amssym.def
\input amssym.tex

\def\BB{{\Bbb B}}
\def\CC{{\Bbb C}}
\def\NN{{\Bbb N}}
\def\QQ{{\Bbb Q}}
\def\RR{{\Bbb R}}
\def\Ss{{\Bbb S}}
\def\SS{{\Bbb S}}
\def\TT{{\Bbb T}}
\def\ZZ{{\Bbb Z}}

\def\emptyset{\varnothing}

\def\fullsquare{{\vrule height6pt width6pt depth0pt}}
\def\emptysquare{{\hbox{\vrule height6pt width0.6pt depth0pt%
\vbox{\hrule height0.6pt width4.8pt depth0pt%
\vglue4.8pt%
\hrule height0.6pt width4.8pt depth0pt}%
\vrule height6pt width0.6pt depth0pt}}}

\def\qed{\unskip\nobreak
\hfil\penalty50\hskip1.75em\null\nobreak\hfil\fullsquare
{\parfillskip=0pt \finalhyphendemerits=0 \par}}
\def\qede{\unskip\nobreak
\hfil\penalty50\hskip1.75em\null\nobreak\hfil\emptysquare
{\parfillskip=0pt \finalhyphendemerits=0 \par}}

\def\aqed{\unskip\nobreak
\penalty50\hskip1.75em\null\nobreak\fullsquare\hfill\vrule width0pt
{\parfillskip=0pt \finalhyphendemerits=0 \par}}
\def\aqede{\unskip\nobreak
\penalty50\hskip1.75em\null\nobreak\emptysquare\hfill\vrule width0pt
{\parfillskip=0pt \finalhyphendemerits=0 \par}}

% From "testfont.tex",
% a testbed for font evaluation (see The METAFONTbook, Appendix H)
%
% Translated, isolated and expanded by Nicolau C. Saldanha

\newcount\m \newcount\n \newcount\p \newdimen\dim

\def\Today{\message{Please type current date:}
  \read-1 to\Date \Date}

\def\today{\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}

\def\hoje{\number\day\ de
  \ifcase\month\or
  janeiro\or fevereiro\or mar{\c c}o\or abril\or maio\or junho\or
  julho\or agosto\or setembro\or outubro\or novembro\or dezembro\fi
  \ de \number\year}

\def\japtoday{\number\year.\twodigits\month.\twodigits\day}

\def\Hours{\message{Please type current time:}
  \read-1 to\Time \Time}

\def\hours{\n=\time \divide\n 60
  \m=-\n \multiply\m 60 \advance\m \time
  \twodigits\n:\twodigits\m}

\def\twodigits#1{\ifnum #1<10 0\fi \number#1}

\def\datepages{\footline={{\hss\tenrm\folio\hss\hbox to 0pt{
\hidewidth\fiverm\japtoday}}}}

