%
%   Preamble
%
%
%   The parameter oddsidemargin (evensidemargin) is one inch 
%   less than the distance from the edge of the paper to the 
%   left margin of the text on right-hand (left-hand) pages. 
%
\setlength{\textwidth}{6.0in}
\setlength{\oddsidemargin}{23pt}
\setlength{\evensidemargin}{23pt}
\setlength{\topmargin}{-0.5in}
\setlength{\textheight}{8.5in}

%   Some abbreviations

\newcommand{\grad}{\nabla}
\newcommand{\bull}{\vrule height 1.8ex width 1.0ex depth 0ex}
\newcommand{\half}{{\textstyle{\frac{1}{2}}}}
\newcommand{\Ref}[1]{\mbox{\rm{(\ref{#1})}}}
\newcommand{\qed}{$ \blacksquare $ \medskip}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
%
%   Enviroments theorem lemma and algorithm are created, and all
%   three are numbered as in theorem.
%
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{assumption}[theorem]{Assumption}
%
%   The numbering below can be done with the numinsec style
%   provided by SIAM.
%
%   The theorem numbers are defined to be of the form section#.theorem#
%
\renewcommand{\thetheorem}{\thesection.\arabic{theorem}}
%
%   Defines the equation number to be of the form section#.equation#
%
%   \renewcommand{\theequation}{\thesection.\arabic{equation}}
%
%   Defines the figure and table numbers to be of the form 
%   section#.figure# and section#.table#
%
\renewcommand{\thefigure}{\thesection.\arabic{figure}}
\renewcommand{\thetable}{\thesection.\arabic{table}}

