%m211ohpc.tex: preamble for m211oh*.tex files (10.10.02) 
%   modificaction of m211ohpc.tex
% 
\documentclass[12pt, leqno]{article}
\usepackage{color}
\usepackage{latexsym}
\usepackage{amsfonts}
\setlength{\oddsidemargin}{-0.5in}
\setlength{\textwidth}{7.5in}
\setlength{\topmargin}{-0.65in}
\setlength{\textheight}{9.5in}
%----------------------------------
\begin{document}
\newfont{\rmH}{cmbx12 at \titlesize}
\newfont{\rmL}{cmbx12 at 26pt}
\newfont{\rmhm}{cmmi12 at 30pt}
\newcommand{\mt}[1]{{\rmhm #1}} %math symbols in title
%
\newcommand{\B}{{\mathfrak B}}
\newcommand{\C}{{\mathbb C}}
\newcommand{\F}{{\mathbb F}}
\newcommand{\N}{{\mathbb N}}
%\newcommand{\f}{\mbox{$\mathbb F$}}
\newcommand{\PP}{{\mathbb P}}
%\newcommand{\qq}{\mbox{$\mathbb Q$}}
\newcommand{\Q}{{\mathbb Q}}
\newcommand{\R}{{\mathbb R}}
\newcommand{\Z}{{\mathbb Z}}
\newcommand{\sps}{\vspace{5pt}}
\newcommand{\spm}{\vspace{10pt}}
\newcommand{\enl}{\vspace{4pt}} % end of line
\newcommand{\tcr}{\textcolor{red}}  
\newcommand{\tcb}{\textcolor{blue}}  
\newcommand{\tcg}{\textcolor{green}} 
%\newcommand{\tco}{\textcolor{orange}} %not supported
\newcommand{\tcc}{\textcolor{cyan}} 
\newcommand{\tcm}{\textcolor{magenta}} 
\newcommand{\tcy}{\textcolor{yellow}} 
\newcommand{\txt}[1]{\mbox{\rm #1}}
\newcommand{\noi}{\noindent}
\newcommand{\strt}{\rule[-15pt]{0pt}{15pt}}
\newcommand{\strtl}{\rule[-25pt]{0pt}{25pt}}
\newcommand{\expcol}[1]{\addtolength{\arraycolsep}{#1}} 
    % expand/contract space between columns of an array (in pts)
    %   -cumulative, in addition to default
\newcommand{\exptabcol}[1]{\addtolength{\tabcolsep}{#1}} 
    % expand/contract space between columns of a table (in pts)
    %   -cumulative, in addition to default 
\newcommand{\exprow}[1]{\renewcommand{\arraystretch}{#1}}
    %expand/contract space between rows of an array (1.0 = standard)  
\newcommand{\st}[1]{\stackrel{\tcg{\scriptscriptstyle(#1)}}{=}}
% abbreviations
% ---------------
\newcommand{\beq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}
\newcommand{\bed}{\begin{description}}
\newcommand{\eed}{\end{description}}
\newcommand{\mod}[1]{\,(\mbox{mod}\,#1)}
\newcommand{\mc}[1]{\tcb{$#1$}}
\newcommand{\tfrac}[2]{{\textstyle\frac{#1}{#2}}}
\newcommand{\scr}{\scriptscriptstyle}
\newcommand{\beqn}{\begin{eqnarray*}}
\newcommand{\eeqn}{\end{eqnarray*}}
\newcommand{\lm}{\lambda}
\newcommand{\al}{\alpha}
\newcommand{\ch}{\mbox{ch}}
\newcommand{\sref}[1]{(\ref{#1})}
\newcommand{\ra}{\rightarrow}
\newcommand{\la}{\leftarrow}
\newcommand{\rb}{\rangle}
\newcommand{\lb}{\langle}
\newcommand{\Ra}{\Rightarrow}
\newcommand{\La}{\Leftarrow}
\newcommand{\Lra}{\Leftrightarrow}
\newcommand{\lra}{\leftrightarrow}


