
\usepackage{amsmath,amsfonts,amssymb,a4,enumerate,epsfig,verbatim,array,tabularx,supertabular}
\usepackage[latin1]{inputenc}

%\language3
%\usepackage{portuges}

\usepackage[brazil]{babel}

% \renewcommand{\appendix}{%
% \renewcommand{\section}{%
% \newpage\thispagestyle{plain}%
% \secdef\Appendix\sAppendix}%
% \setcounter{section}{0}%
% \renewcommand{\thesection}{\Alph{section}}%
% }

% \renewcommand\refname{Refer\^encias}
\def\ca#1{{\cal #1}}
\font\blackboard=msbm10 at 12pt
\def\l#1{\hbox{\blackboard #1}}
\def\sslb{ [}
\def\ssrb{ ]_s}

\def\LG{{{\cal{L}}G}}
\def\LAG{{\cal{LG}}}
\def\LpG{{{\cal{L^+}}G}}
\def\LApG{{\cal{L}^+}\cal{G}}
\def\LU{{{\cal{L}}U}}
\def\LAU{{\cal{LU}}}



% \renewcommand{\pod}{\pmod}
\newcommand{\fecho}{\operatorname{fecho}}
\newcommand{\Li}{\operatorname{Li}}
\newcommand{\ve}{\varepsilon}
\newcommand{\E}{\varepsilon}
\newcommand{\al}{\alpha}
\newcommand{\be}{\overline{\alpha}}
\newcommand{\rd}{{\rm d}}
\newcommand{\mdc}{\operatorname{mdc}}
\newcommand{\mmc}{\operatorname{mmc}}
\newcommand{\NN}{{\mathbb{N}}}
\newcommand{\ZZ}{{\mathbb{Z}}}
\newcommand{\QQ}{{\mathbb{Q}}}
\newcommand{\RR}{{\mathbb{R}}}
\newcommand{\CC}{{\mathbb{C}}}
\newcommand{\FF}{{\mathbb{F}}}
\renewcommand{\SS}{{\mathbb{S}}}

\newcommand{\nobf}{\noindent\bf}
\newcommand{\ordem}{\operatorname{ord}}
\newcommand{\alphab}{\overline{\alpha}}

\parskip=4pt plus 8pt

\renewcommand\emptyset{\varnothing}
\def\qed{\unskip\nobreak\hfil\penalty50\hskip1.75em\null\nobreak\hfil
$\blacksquare$ {\parfillskip=0pt \finalhyphendemerits=0 \par}\goodbreak}

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


