% $Id: aa.tex,v 1.3 2007/10/15 11:36:02 rae Exp $
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%             Customized Commands
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%  mathematical abbreviations
%  =========================
%
% math defs
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%
% tilde
%
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%
%  unit vectors
%
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%\newcommand{\ggg}{\hat{\mbox{\boldmath $g$}} {}}
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%
%  vectors
%
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%\newcommand{\lll}{\mbox{\boldmath $l$} {}}
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%
%  tensors
%
\newcommand{\PPPP}{\mbox{\boldmath ${\sf P}$} {}}
\newcommand{\MMMM}{\mbox{\boldmath ${\sf M}$} {}}
\newcommand{\SSSS}{\mbox{\boldmath ${\sf S}$} {}}
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\newcommand{\LLLL}{\mbox{\boldmath ${\sf L}$} {}}
\newcommand{\RRRR}{\mbox{\boldmath ${\sf R}$} {}}
%
\newcommand{\BBB}{\mbox{\boldmath ${\cal B}$} {}}
\newcommand{\emf}{\mbox{\boldmath ${\cal E}$} {}}
\newcommand{\FFF}{\mbox{\boldmath ${\cal F}$} {}}
\newcommand{\GGG}{\mbox{\boldmath ${\cal G}$} {}}
\newcommand{\HHH}{\mbox{\boldmath ${\cal H}$} {}}
\newcommand{\QQQ}{\mbox{\boldmath ${\cal Q}$} {}}
%
%  operators  (roman)
%
\newcommand{\e}{{\rm e}}
\newcommand{\ii}{{\rm i}}
\newcommand{\grad}{{\rm grad} \, {}}
\newcommand{\curl}{{\rm curl} \, {}}
\newcommand{\dive}{{\rm div}  \, {}}
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{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr>\cr\sim\cr}}}}}
%
%  numbers
%
\def\Ta{\mbox{\rm Ta}}
\def\Ra{\mbox{\rm Ra}}
\def\Co{\mbox{\rm Co}}
\def\Ma{\mbox{\rm Ma}}
\def\Roo{\mbox{\rm Ro}^{-1}}
\def\Pra{\mbox{\rm Pr}}
\def\Pran{\mbox{\rm Pr}}
%\def\Pm{\mbox{\rm Pr}_M}
\def\Pm{P_{\rm m}}
%\def\Rm{\mbox{\rm Re}_M}
\def\Rm{R_{\rm m}}
\def\Rey{\mbox{\rm Re}}
\def\Pe{\mbox{\rm Pe}}
%
\def\cs{c_{\rm s}}
\def\sigmaSB{\sigma_{\rm SB}}
%
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\newcommand{\eaa}{{\rm et al.\ }}
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\def\onesixth{{\textstyle{1\over6}}}
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\def\quarter{{\textstyle{1\over4}}}
%
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%
%  journals
%
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%
%\usepackage{html}
%\usepackage{url}
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%
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