mydef.tex

% user's definition

\newcommand{\minitab}[2][c]{\begin{tabular}{#1}#2\end{tabular}}

\newcommand{\tol}{\mbox{TOL}}
\newcommand{\sK}{\mathcal{K}}
\newcommand{\sN}{\mathcal{N}}
\newcommand{\sC}{\mathcal{C}}
\newcommand{\sF}{\mathcal{F}}
\newcommand{\sG}{\mathcal{G}}
\newcommand{\sT}{\mathcal{T}}
\newcommand{\sA}{\mathcal{A}}
\newcommand{\fA}{\mathfrak A}
\newcommand{\sP}{\mathcal{P}}
\newcommand{\sQ}{\mathcal{Q}}
\newcommand{\sH}{\mathcal{H}}
\newcommand{\sR}{\mathcal{R}}
\newcommand{\sE}{\mathcal{E}}
\newcommand{\sV}{\mathcal{V}}
\newcommand{\dK}{\mathbb{K}}
\newcommand{\dV}{\mathbb{V}}
\newcommand{\trno}[1]{\left|\!\left|\!\left| #1 \right|\!\right|\!\right|}
\newcommand{\tHs}{\tilde{H}^{s}}
\newcommand{\tHns}{H^{-s}}
\newcommand{\ltHs}{H_\Gamma^{s}}
\newcommand{\enorm}[1]{\trno{#1}}
\newcommand{\denorm}[1]{\trno{#1}_*}
\newcommand{\Hsnorm}[1]{\left\|#1\right\|_{\tHs(\Omega)}}
\newcommand{\dHsnorm}[1]{\left\|#1\right\|_{\tHns(\Omega)}}
\newcommand{\dHsw}[1]{\left\| #1 \right\|_{\tHns(\omega_z)}}

\newcommand{\IR}{\mathbb{R}}
\newcommand{\hR}{\widehat R}
\newcommand{\ang}[1]{\left<#1\right>}
\newcommand{\field}{\mathfrak F}
\newcommand{\ubar}{\overline{u}}
\newcommand{\Ubar}{\overline{U}}
\newcommand{\Fbar}{\overline{F}}
\newcommand{\sGbar}{\overline{\sG}}
\newcommand{\ds}{\displaystyle}
\newcommand{\hpsi}{\hat\psi_{\tau}}
\newcommand{\GT}{\left.\overline{\sG_h\psi_z}\right|_{\tau}}
\newcommand{\osc}{\text{\rm osc}}
\newcommand{\Dof}{\text{DOF}}

\newcommand{\bU}{\overline U}
\newcommand{\bu}{\overline u}
\newcommand{\bF}{\overline F}
\newcommand{\sbar}{\overline\Lambda}
\newcommand{\vu}{{\bf{u}}}
\newcommand{\vU}{{\mathbf{U}}}
\newcommand{\vv}{{\bf{v}}}
\newcommand{\vV}{{\mathbf{V}}}
\newcommand{\vF}{{\bf{F}}}
\newcommand{\vf}{{\bf{f}}}
\newcommand{\vg}{{\bf{g}}}
\newcommand{\vh}{{\bf{h}}}
\newcommand{\vI}{{\bf{I}}}
\newcommand{\vC}{{\bf{C}}}
\newcommand{\vX}{{\bf{X}}}
\newcommand{\vL}{{\bf{L}}}
\newcommand{\vW}{{\bf{W}}}
\newcommand{\vH}{{\bf{H}}}
\newcommand{\vR}{{\bf{R}}}

\DeclareMathOperator*{\diag}{diag}

\newcommand{\normV}[1]{\left\|#1\right\|_{\sV}}
\newcommand{\normdualV}[1]{\left\|#1\right\|_{\sV^*}}
\newcommand{\normH}[1]{\left\|#1\right\|_{\sH}}
\newcommand{\starS}{\mathfrak{S}}
\newcommand{\starI}{\mathfrak{I}}