% $Id$
\let\dsp=\displaystyle
\let\para=\parallel

\newcommand{\fig}[2]{\scalebox{#1}{\includegraphics{#2}}}
\newcommand{\dummy}[1]{}
\newcommand{\eqskip}{\\[10pt]}
\newcommand{\phm}{\mathbin{\phantom{-}}}

\renewcommand\r[1]{\mathrm{#1}}
\newcommand\unit[1]{\,\r{#1}}
\newcommand\ave[1]{\mathopen\langle #1 \mathclose\rangle}
\newcommand{\vave}[1]{\left\langle #1 \right\rangle}
\renewcommand{\vec}[1]{\leavevmode\hbox{\boldmath$#1$}}
\newcommand{\svec}[1]{\leavevmode\hbox{\boldmath$\scriptstyle#1$}}
\newcommand{\tensor}[1]{\mathord{\displaystyle\mathop#1^\leftrightarrow}}
%\newcommand{\tensor}[1]{\mathord{\mathop{\kern0pt #1}\limits^{\smash{\lower0.4ex \hbox{$\leftrightarrow$}}}}}

\newcommand{\rd}{\r{d}}
\newcommand{\exe}{\,\r{e}\,}
\newcommand{\imi}{\,\r{i}\,}
%\newcommand{\gtrsim}{\mathrel{\raisebox{-1mm}{${\displaystyle\mathop\sim^>}$}}}
%\newcommand{\lesssim}{\mathrel{\raisebox{-1mm}{${\displaystyle\mathop\sim^<}$}}}

\newcommand{\kpara}{k_\para}
\newcommand{\kperp}{k_\perp}
\newcommand{\ppara}{p_\para}
\newcommand{\pperp}{p_\perp}
\newcommand{\vpara}{v_\para}
\newcommand{\vperp}{v_\perp}

\newcommand{\betap}{\beta_\r{p}}
\newcommand{\thetap}{\theta_\r{p}}
\newcommand{\chie}{\chi_\r{e}}
\newcommand{\chii}{\chi_\r{i}}
\newcommand{\etai}{\eta_\r{i}}
\newcommand{\nue}{\nu_\r{e}}
\newcommand{\nui}{\nu_\r{i}}
\newcommand{\Ip}{I_\r{p}}
\newcommand{\li}{\ell_\r{i}}
\newcommand\lambdaD{\lambda_\r{D}}
\newcommand{\nbar}{\overline{n}}
\newcommand{\tauE}{\tau_\r{E}}
\newcommand{\teps}{\tensor{\epsilon}}
\newcommand{\tI}{\tensor{I}}

\newcommand{\re}{\r{e}}
\newcommand{\ri}{\r{i}}
\newcommand{\me}{m_\r{e}}
\newcommand{\mi}{m_\r{i}}
\newcommand{\ms}{m_s}
\newcommand{\nne}{n_\r{e}}
\newcommand{\nni}{n_\r{i}}
\newcommand{\nns}{n_s}
\newcommand{\nnn}{n_\rn}
\newcommand{\Te}{T_\r{e}}
\newcommand{\Ti}{T_\r{i}}
\newcommand{\Ts}{T_s}
\newcommand{\vte}{v_\r{Te}}
\newcommand{\vti}{v_\r{Ti}}
\newcommand{\vts}{v_{\r{T}s}
\newcommand{\mue}{\mu_\r{e}}
\newcommand{\mui}{\mu_\r{i}}
\newcommand{\mus}{\mu_s}}
\newcommand{\rhoe}{\rho_\r{e}}
\newcommand{\rhoi}{\rho_\r{i}}
\newcommand{\rhos}{\rho_s}
\newcommand{\omegac}{\omega_\r{c}}
\newcommand{\omegacs}{\omega_{\r{c}s}}
\newcommand{\omegace}{\omega_\r{ce}}
\newcommand{\omegaci}{\omega_\r{ci}}
\newcommand{\omegap}{\omega_\r{p}}
\newcommand{\omegaps}{\omega_{\r{p}s}}
\newcommand{\omegape}{\omega_\r{pe}}
\newcommand{\omegapi}{\omega_\r{pi}}

\newcommand{\vA}{\vec{A}}
\newcommand{\vB}{\vec{B}}
\newcommand{\vE}{\vec{E}}
\newcommand{\vF}{\vec{F}}
\newcommand{\vS}{\vec{S}}
\newcommand{\va}{\vec{a}}
\newcommand{\vb}{\vec{b}}
\newcommand{\ve}{\vec{e}}
\newcommand{\vj}{\vec{j}}
\newcommand{\vk}{\vec{k}}
\newcommand{\vnabla}{\vec{\nabla}}
\newcommand{\vp}{\vec{p}}
\newcommand{\vr}{\vec{r}}
\newcommand{\vu}{\vec{u}}
\newcommand{\vv}{\vec{v}}
\newcommand{\vxi}{\vec{\xi}}

\newcommand{\ddr}{\frac{\partial}{\partial r}}
\newcommand{\ddt}{\frac{\partial}{\partial t}}
\newcommand{\ddrX}[1]{\frac{\partial #1}{\partial r}}
\newcommand{\ddtX}[1]{\frac{\partial #1}{\partial t}}
