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%$Id: definitions.tex,v 1.5 2005-08-11 13:55:19 lars Exp $
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%                 Copyright (2003) by The GOTM Team                 %
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%                         LaTeX Definitions                         %
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% figures and tables
\newcommand{\fig}[1]{figure {\ref{#1}}}
\newcommand{\tab}[1]{table {\ref{#1}}}
\newcommand{\sect}[1]{section {\ref{#1}}}
\newcommand{\sects}[2]{sections {\ref{#1}}--{\ref{#2}}}
\newcommand{\Fig}[1]{Figure {\ref{#1}}}
\newcommand{\Tab}[1]{Table {\ref{#1}}}
\newcommand{\Sect}[1]{Section {\ref{#1}}}
\newcommand{\Sects}[2]{Sections {\ref{#1}}--{\ref{#2}}}
\newcommand{\eq}[1]{(\ref{#1})}

% displaystyle
\newcommand{\dps}[1]{\displaystyle{#1}}

% symbols
\newcommand{\eps}{\varepsilon}

% boldsymbols
\newcommand{\bs}[1]{{\boldsymbol #1}}

% vectors / tensors
\newcommand{\V}[1]{{\boldsymbol #1}}
\newcommand{\T}[1]{{\boldsymbol #1}}

% partial derivatives with respect to coordinates
\newcommand{\pderh}[4]{\dfrac{\partial {#1}^{#2}}{\partial {#3}^{#4}}}
\newcommand{\pderl}[4]{\dfrac{\partial {#1}_{#2}}{\partial {#3}^{#4}}}
\newcommand{\pder}[2]{\dfrac{\partial}{\partial {#1}^{#2}}}
\newcommand{\frstder}[1]{\dfrac{\partial}{\partial {#1}}}
\newcommand{\dfrstder}[1]{\dfrac{\partial}{\partial {#1}}}
\newcommand{\scndder}[2]{\dfrac{\partial^2 {#1}}{\partial {#2}^2}}
\newcommand{\dscndder}[2]{\dfrac{\partial^2 {#1}}{\partial {#2}^2}}
\newcommand{\partder}[2]{\dfrac{\partial {#1}}{\partial {#2}}}
\newcommand{\dpartder}[2]{\dfrac{\partial {#1}}{\partial {#2}}}

\newcommand{\deriv}[2]{\dfrac{\text{d} {#1}}{\text{d} {#2}}}
\newcommand{\frstderiv}[1]{\dfrac{\text{d} }{\text{d} {#1}}}

% turbulence
\def\mean#1{ {\langle #1 \rangle} }
\def\meandot#1{ \dot{ \rule{0mm}{4mm} \langle #1 \rangle} }

% Christoffel Symbols 
\newcommand{\chra}[3]{\left[\; #1#2,#3\; \right]}
\newcommand{\chrb}[3]{\left\{ #1 \atop #2\;#3 \right\}}

%operators
\newcommand{\gradient}{{\, \rm grad}}
\newcommand{\divergence}{{\, \rm div }}
\newcommand{\rotation}{{\, \rm rot}}

%stuff
\def\magn#1{| #1 |}
\newcommand{\comma}{\; , \quad}
\newcommand{\point}{\quad .}

\newcommand{\centigrade}{{\ensuremath{^\circ\text{C }{}}}}
\newcommand{\degree}{{\ensuremath{^\circ{\;}}}}