notation.sty

\DeclareMathOperator{\Div}{div}
\DeclareMathOperator{\Grad}{grad}
\DeclareMathOperator{\Curl}{curl}
\DeclareMathOperator{\Rot}{rot}
\DeclareMathOperator{\ord}{ord}
\DeclareMathOperator{\Kern}{ker}
\DeclareMathOperator{\Image}{im}
\DeclareMathOperator{\spann}{span}
\DeclareMathOperator{\dist}{dist}
\DeclareMathOperator{\diam}{diam}
\DeclareMathOperator{\sig}{sig}
\DeclareMathOperator{\convex}{convex}
% \newcommand{\RR}{\mathbb{R}}
% \newcommand{\NN}{\mathbb{N}}
\newcommand{\CC}{\mathbb{C}}
\newcommand{\VV}{\mathbb{V}}
% \newcommand{\PP}{\mathbb{P}}
% \newcommand{\SSS}{\mathbb{S}}
% \newcommand{\PPc}[1]{\mathbb{P}_{\mathrm{c}}^{#1}}
\newcommand{\PPc}{\mathbb{P}^{\mathrm{c}}}
\newcommand{\PPdc}{\mathbb{P}^{\mathrm{dc}}}
\newcommand{\dx}{\,\mathrm{d}x}
\newcommand{\dy}{\,\mathrm{d}y}
\newcommand{\ds}{\,\mathrm{d}s}
\newcommand{\dt}{\,\mathrm{d}t}
\newcommand{\dS}{\,\mathrm{d}S}
\newcommand{\dV}{\,\mathrm{d}V}
\newcommand{\dX}{\,\mathrm{d}X}
\newcommand{\dY}{\,\mathrm{d}Y}
\newcommand{\dE}{\,\mathrm{d}E}
\newcommand{\dK}{\,\mathrm{d}K}
\newcommand{\dM}{\,\mathrm{d}M}
\newcommand{\dU}{\,\mathrm{d}U}
\newcommand{\dGamma}{\,\mathrm{d} \Gamma}
\newcommand{\cd}{\mathrm{cd}}
\newcommand{\bfP}{\mathbf{P}}
\newcommand{\bfx}{\mathbf{x}}
\newcommand{\bfy}{\mathbf{y}}
\newcommand{\bfa}{\mathbf{a}}
\newcommand{\bfb}{\mathbf{b}}
\newcommand{\bfu}{\mathbf{u}}
\newcommand{\bfv}{\mathbf{v}}
\newcommand{\bfe}{\mathbf{e}}
\newcommand{\bfg}{\mathbf{g}}
\newcommand{\bfn}{\mathbf{n}}
\newcommand{\bff}{\mathbf{f}}
\newcommand{\bfp}{\mathbf{p}}
\newcommand{\bft}{\mathbf{t}}
\newcommand{\bfj}{\mathbf{j}}
\newcommand{\bfB}{\mathbf{B}}
\newcommand{\bfV}{\mathbf{V}}
\newcommand{\bfE}{\mathbf{E}}
\newcommand{\bfK}{\mathbf{K}}
\newcommand{\mrm}[1]{\mathrm{#1}}
\newcommand{\mcA}{\mathcal{A}}
\newcommand{\mcK}{\mathcal{K}}
\newcommand{\mcT}{\mathcal{T}}
\newcommand{\mcF}{\mathcal{F}}
\newcommand{\mcP}{\mathcal{P}}
\newcommand{\mcO}{\mathcal{O}}
\newcommand{\jump}[1]{[\![#1]\!]}
\newcommand{\avg}[1]{\{\!\!\{ #1 \}\!\!\}}
\newcommand{\wavg}[1]{\{\!\!\{ #1 \}\!\!\}_{\omega}}
% \newcommand{\wavg}[1]{\{{#1} \}_{\omega}}
\newcommand{\wavgd}[1]{\langle\!\langle {#1} \rangle\!\rangle_{\omega}}
% Single braces/bracket versions
\newcommand{\jumps}[1]{[#1]}
\newcommand{\avgs}[1]{\{{#1} \}}
\newcommand{\st}{\;|\;}
\newcommand{\foralls}{\forall\,}
\newcommand{\onehalf}{\nicefrac{1}{2}}

% \newcommand{\onehalf}{1/2}