latex math template

latex.tex

\documentclass{article}
\usepackage[margin=1.25in]{geometry}
\usepackage{graphicx}
\usepackage{titlesec}
\usepackage{amsmath}
\usepackage{amsfonts}   % math fonts
\usepackage{amssymb}    % extra math symbols
\usepackage{amsthm}
\usepackage{mathtools}
\usepackage{verbatim}   % \begin{comment} multi-line comments \end{comment}
\usepackage{color}      % \textcolor{red}{colorful text}

% Mathtools package
% http://www.tex.ac.uk/ctan/macros/latex/contrib/mh/mathtools.pdf
\mathtoolsset{
  showonlyrefs
}

\graphicspath{{./fig/}}    % put figures in ./fig

\setlength{\parindent}{0pt}  % don't indent paragraphs
\setlength{\parskip}{1ex}    % extra space after paragraphs

% New definition of square root, closes over content
% Renames \sqrt as \oldsqrt
\let\oldsqrt\sqrt
% Defines the new \sqrt in terms of the old one
\def\sqrt{\mathpalette\DHLhksqrt}
\def\DHLhksqrt#1#2{%
\setbox0=\hbox{$#1\oldsqrt{#2\,}$}\dimen0=\ht0
\advance\dimen0-0.2\ht0
\setbox2=\hbox{\vrule height\ht0 depth -\dimen0}%
{\box0\lower0.4pt\box2}}


\renewcommand{\thesubsection}{\thesection.\alph{subsection}}

% Define argmax
\DeclareMathOperator*{\argmax}{arg\,max\,}
\DeclareMathOperator*{\argmin}{arg\,min\,}
\DeclareMathOperator*{\maximize}{maximize\,}
\DeclareMathOperator*{\minimize}{minimize\,}
\DeclareMathOperator*{\subjectto}{subject\,to\,}
\DeclareMathOperator*{\dom}{dom\,}
\DeclareMathOperator*{\range}{range\,}
\newcommand{\vect}[1]{\mathbf{#1}}
\newcommand{\erf}[1]{\operatorname{erf}\left(#1\right)}
\newcommand{\erfc}[1]{\operatorname{erfc}\left(#1\right)}
\newcommand{\erfu}{\erf{\frac{u}{\sqrt{2}}}}
\newcommand{\erfcu}{\erfc{\frac{u}{\sqrt{2}}}}
\newcommand{\mx}[1]{\mathbf{#1}}
\newcommand{\x}{\vect{x}}
\newcommand{\y}{\vect{y}}
\renewcommand{\a}{\vect{a}}  % overwrite \a, usually used for accents
\newcommand{\A}{\mx{A}} % matrix A
%\renewcommand{\L}{\mx{L}} % matrix L
\newcommand{\U}{\mx{U}} % matrix U
\newcommand{\real}{\mathbb{R}}
\newcommand{\integer}{\mathbb{Z}}
\renewcommand{\natural}{\mathbb{N}}
\newcommand{\gaussian}{\mathcal{N}}
\renewcommand{\L}{\mathcal{L}}
\renewcommand{\(}{\left(}
\renewcommand{\)}{\right)}

% optimize function
% args: #1 optimization operator
%       #2 function to optimize
%       #3 constraints (use \\ for a newline between constraints)
% example:
% \optimize{\argmax_{x}}{x^T A x}{x \ge 0 \\ 1^T x = 1}
%
\newcommand{\optimize}[3]{
  \begin{alignedat}{2}
  & #1
  & & \begin{lgathered}[t]#2\end{lgathered} \\
  & \subjectto
  & & \begin{lgathered}[t]#3\end{lgathered} \\
  \end{alignedat}
}

\[ \mu = 
  \begin{opt}
    &\argmax    && a\\
    &\subjectto && bbb & bbb & d &
  \end{opt}
\]


% sqcases
\makeatletter
\newenvironment{sqcases}{%
  \matrix@check\sqcases\env@sqcases
}{%
  \endarray\right.%
}
\def\env@sqcases{%
  \let\@ifnextchar\new@ifnextchar
  \left\lbrack
  \def\arraystretch{1.2}%
  \array{@{}l@{\quad}l@{}}%
}
\makeatother



\newtheorem*{theorem*}{Theorem}
\newtheorem*{lemma*}{Lemma}
\newtheorem*{corollary*}{Corollary}
\newtheorem*{definition*}{Definition}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{corollary}{Corollary}
\newtheorem{definition}{Definition}

\title{Title}
\author{Name}
\date{March 13, 2011}

\begin{document}
% Start section numbering with 0
%\setcounter{section}{-1}
\maketitle

\end{document}