mathdef.tex

%!TEX root = paper.tex

\usepackage{amsmath}
\usepackage{mathtools}
\newcommand{\la}{\ensuremath{\left\langle}}
\newcommand{\ra}{\ensuremath{\right\rangle}}

\newcommand{\lv}{\ensuremath{\left\lvert}}
\newcommand{\rv}{\ensuremath{\right\rvert}}

\newcommand{\ls}{\ensuremath{\left[}} 
\newcommand{\rs}{\ensuremath{\right]}}

\newcommand{\lp}{\ensuremath{\left(}} 
\newcommand{\rp}{\ensuremath{\right)}}

\renewcommand{\vec}[1]{\boldsymbol{#1}}
\newcommand{\mat}[1]{\boldsymbol{\mathbf{#1}}}

\newcommand{\hconj}{\ensuremath{\dagger}}

\newcommand{\vx}{\vec{x}}
\newcommand{\vs}{\vec{s}}
\newcommand{\vn}{\vec{n}}
\newcommand{\va}{\vec{a}}
\newcommand{\vv}{\vec{v}}
\newcommand{\vk}{\vec{k}}

\newcommand{\mS}{\mat{S}}
\newcommand{\mN}{\mat{N}}
\newcommand{\mR}{\mat{R}}
\newcommand{\mC}{\mat{C}}
\newcommand{\mB}{\mat{B}}
\newcommand{\mU}{\mat{U}}
\newcommand{\mV}{\mat{V}}
\newcommand{\mE}{\mat{E}}
\newcommand{\mF}{\mat{F}}

\newcommand{\mQt}{\tilde{\mat{Q}}}
\newcommand{\mCt}{\tilde{\mat{C}}}

\newcommand{\msigma}{\mat{\Sigma}}

%\newcommand{\tcm}{\ensuremath{21\,\mathrm{cm}}}

\newcommand{\vnhat}{\hat{\vec{n}}}
\newcommand{\vuhat}{\hat{\vec{u}}}
\newcommand{\vzhat}{\hat{\vec{z}}}
\newcommand{\vu}{\vec{u}}

\newcommand{\brsc}[1]{{\ensuremath{\scriptscriptstyle \left(#1\right)}}}


\newcommand{\calP}{\mathcal{P}}

\newcommand{\tmax}{\ensuremath{\text{max}}}

\newcommand{\mBt}{\tilde{\mat{B}}}

\newcommand{\vnt}{\tilde{\vec{n}}}
%\newcommand{\vat}{\tilde{\vec{a}}}
\newcommand{\vvt}{\tilde{\vec{v}}}


\DeclareMathOperator{\sinc}{sinc}
\DeclareMathOperator{\tri}{tri}
\DeclareMathOperator{\tr}{tr}



\newcommand{\tvis}{\ensuremath{\mathcal{V}}}
\newcommand{\vis}{\ensuremath{V}}

\newcommand{\mGamma}{\mat{\Gamma}}
\newcommand{\mK}{\mat{K}}

\newcommand{\vEps}{\vec{\varepsilon}}
\newcommand{\eps}{\varepsilon}


\newcommand{\vE}{\vec{E}}
\newcommand{\vH}{\vec{H}}
\newcommand{\vS}{\vec{S}}
\newcommand{\vA}{\vec{A}}

\newcommand{\dhn}{d^2\hat{n}}