\documentclass[11pt]{article}
\usepackage{af}

\makeatletter
\def\eqnarray{\stepcounter{equation}\let\@currentlabel=\theequation
\global\@eqnswtrue
\global\@eqcnt\z@\tabskip\@centering\let\\=\@eqncr
$$\halign to \displaywidth\bgroup\@eqnsel\hskip\@centering
%%  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne 
    $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne 
%%  \hskip 2\arraycolsep \hfil${##}$\hfil
                         \hfil$\displaystyle{{}##{}}$\hfil
%%  &\global\@eqcnt\tw@ \hskip 2\arraycolsep $\displaystyle\tabskip\z@{##}$\hfil 
    &\global\@eqcnt\tw@                      $\displaystyle\tabskip\z@{##}$\hfil 
   \tabskip\@centering&\llap{##}\tabskip\z@\cr}
\makeatother

\def\baselinestretch{1.20}
\def\r#1{{\rm#1}}
\def\ddt{\frac{\partial}{\partial t}}
\def\ddr{\frac{\partial}{\partial r}}
\def\ave#1{\left\langle#1\right\rangle}
\def\me{m_\r{e}}
\def\mi{m_\r{i}}
\def\mb{m_\r{b}}
\def\mue{\mu_\r{e}}
\def\mui{\mu_\r{i}}
\def\De{D_\r{e}}
\def\Di{D_\r{i}}
\def\chie{\chi_\r{e}}
\def\chii{\chi_\r{i}}
\def\ne{n_\r{e}}
\def\ni{n_\r{i}}
\def\nb{n_\r{b}}
\def\uer{u_{\r{e}r}}
\def\uir{u_{\r{i}r}}
\def\ueth{u_{\r{e}\theta}}
\def\uith{u_{\r{i}\theta}}
\def\ubth{u_{\r{b}\theta}}
\def\ueph{u_{\r{e}\phi}}
\def\uiph{u_{\r{i}\phi}}
\def\ubph{u_{\r{b}\phi}}
\def\Er{E_r}
\def\Eth{E_\theta}
\def\Eph{E_\phi}
\def\Bth{B_\theta}
\def\Bph{B_\phi}
\def\Te{T_\r{e}}
\def\Ti{T_\r{i}}
\def\nna{n_{01}}
\def\nnb{n_{02}}
\def\Zi{Z_\r{i}}
\def\Zb{Z_\r{b}}
\def\Pb{P_\r{b}}
\def\Eb{E_\r{b}}
\def\PRFe{P_\r{RFe}}
\def\PRFi{P_\r{RFi}}

\def\nuNCe{\nu_\r{NCe}}
\def\nuNCi{\nu_\r{NCi}}
\def\nuei{\nu_\r{ei}}
\def\nube{\nu_\r{be}}
\def\nubi{\nu_\r{bi}}
\def\nune{\nu_\r{0e}}
\def\nuni{\nu_\r{0i}}
\def\nuL{\nu_\r{L}}
\def\nuCX{\nu_\r{CX}}
\def\nuion{\nu_\r{ionize}}
\def\nub{\nu_\r{b}}
\def\nuTei{\nu_\r{Tei}}
\def\vb{v_\r{b}}
\def\nediv{n_\r{ediv}}
\def\Tediv{T_\r{ediv}}
\def\Tidiv{T_\r{idiv}}

\newcommand{\Frac}[2]{%
  {\displaystyle {\displaystyle #1\over \displaystyle #2}}%
}
\newcommand{\rdprd}[2]{\Frac{\partial #1}{\partial #2}}
\newcommand{\aveaveB}[1]{\left< \!\! \left< #1 \right> \!\! \right>}
\newcommand{\hatomega}{\widehat{\omega}}

\begin{document}

\begin{center}
TASK/TX V3.00 [06/06/06]
\end{center}

\section{Equations}
\vspace{-5mm}

\begin{eqnarray}
%
% \Er
%
  0 &=&
%
  \frac{1}{r} \ddr r \Er
%
 - \frac{1}{\epsilon_0}
  \left(-e \ne + \Zi e \ni + \Zb e \nb \right)
\\[5mm]
%
% \Eth
%
  \frac{1}{c^2} \ddt \Eth &=&
%
  - \ddr \Bph
%
  - \mu_0 (-e \ne \ueth + \Zi e \ni \uith + \Zb e \nb \ubth)
\\[5mm]
%
% \Eph
%
  \frac{1}{c^2} \ddt \Eph &=&
%
  \frac{1}{r} \ddr r \Bth
%
  - \mu_0 (-e \ne \ueph + \Zi e \ni \uiph + \Zb e \nb \ubph) - \mu_0 j_\r{virtual}
\\[5mm]
%
% \Bth
%
  \ddt \Bth &=&
%
  \ddr \Eph
\\[5mm]
%
% \Bph
%
  \ddt \Bph &=&
%
  - \frac{1}{r} \ddr r \Eth
\\[5mm]
%
% \ne
%
  \ddt\ne &=&
%
  - \frac{1}{r} \ddr r \ne \uer 
%
  + \nuion\, \frac{\ne}{\nna+\nnb}\, (\nna+\nnb)
%
  - \nuL (\ne - \nediv)
\\[5mm]
%
% \ne \uer
%
  \ddt \ne \uer &=&
%
  - \frac{1}{r} \ddr r \uer \ne \uer
%
  + \frac{1}{r} \ueth \ne \ueth
%
  - \ddr \frac{\ne \Te}{\me}
\nonumber\\[3mm]&&{}
%
  - \frac{e}{\me} \ne \Er
%
  - \frac{e}{\me} \Bph \ne \ueth
%
  + \frac{e}{\me} \Bth \ne \ueph
\\[5mm]
%
% \ne \ueth
%
  \ddt \ne \ueth &=&
%
  - \frac{1}{r^2} \ddr r^2 \uer \ne \ueth
%
  + \frac{1}{r^2} \ddr r^3 \ne \mue \ddr \frac{\ueth}{r}
%
  - \frac{e}{\me} \ne \Eth
%
  + \frac{e}{\me} \Bph \ne \uer
\nonumber\\[2.5mm]&&{}
%
  - \nuNCe \ne \ueth
%
  - \nu_\r{ei} \ne (\ueth - \uith)
%
  - \frac{\mb}{\me} \nu_\r{be} \nb (\ueth - \ubth)
\nonumber\\[2.5mm]&&{}
%
  - \frac{e^2 \Bph^2 \De}{\me\Te}\ne
    \left(\ueth - \ave{\frac{\omega}{m}}_\r{e} r \right)
%
   + \frac{\Zi^2 e^2 \Bph^2 \Di}{\me\Ti}\ni
    \left(\uith - \ave{\frac{\omega}{m}}_\r{i} r \right)
\nonumber\\[2.5mm]&&{}
%
%%  + (-e) \Bph
%%    \left\{
%%     \ne \De
%%      \left(
%%        - \rdprd{}{r} \ln \ne
%%        + \frac{(-e) E_r}{\Te}
%%        + \aveaveB{\frac{\omega}{m}} r
%%          \frac{(-e) \Bph}{\Te}
%%      \right)
%%      - \ne \left( \mue - \frac{\De}{2} \right) \rdprd{}{r} \ln \Te
%%    \right\}
%%\nonumber\\[2.5mm]&&{}
%%  - \Zi e \Bph
%%   \left\{
%%     \ni \Di
%%      \left(
%%        - \rdprd{}{r} \ln \ni
%%        + \frac{\Zi e E_r}{\Ti}
%%        + \aveaveB{\frac{\omega}{m}} r
%%          \frac{\Zi e \Bph}{\Ti}
%%      \right)
%%      - \ni \left( \mui - \frac{\Di}{2} \right) \rdprd{}{r} \ln \Ti
%%    \right\}
%%\nonumber\\[2.5mm]&&{}
%
  - 2\, \nuL \ne \ueth
%
  - \nune \ne \ueth
%
  - \nu_\r{eHL} (1 - u_\r{H0}^2) \ne \ueth
%
  + \nu_\r{eHL} u_{\r{H}\phi} u_{\r{H}\theta} \ne \ueph
\\[5mm]
%
% \ne \ueph
%
  \ddt \ne \ueph &=&
%
  - \frac{1}{r} \ddr r \uer \ne \ueph
%
  + \frac{1}{r} \ddr r \ne \mue \ddr \ueph
%
  - \frac{e}{\me} \ne \Eph
%
  - \frac{e}{\me} \Bth \ne \uer 
\nonumber\\[2.5mm]&&{}
%
  - \nuei \ne (\ueph - \uiph)
%
  - \frac{\mb}{\me} \nube \nb (\ueph - \ubph)
\nonumber\\[2.5mm]&&{}
%
  - 2\, \nuL \ne \ueph
%
  - \nune \ne \ueph
%
  + \nu_\r{eHL} u_{\r{H}\phi} u_{\r{H}\theta} \ne \ueth
%
  - \nu_\r{eHL} (1 - u_\r{H0}^2) \ne \ueph
\\[5mm]
%
% \Te
%
  \ddt \, \frac{3}{2} \ne \Te &=&
%
 - \frac{1}{r} \ddr r
   \left( \frac{5}{2} \uer \ne \Te - \frac{3}{2} \ne \chie \ddr \Te \right)
%
  -  e \Eth \ne \ueth
%
  -  e \Eph \ne \ueph 
\nonumber\\[2.5mm]&&{}
%
  - \nuTei \ne (\Te - \Ti)
%
  - \frac{1}{2} \mb \vb \nube \nb (\ueph - \ubph)
%
  - \frac{5}{2} \nuL \ne (\Te - \Tediv)
%
  + \PRFe
\\[5mm]
%\end{eqnarray}
%\newpage
%\begin{eqnarray}
%
% \ni
%
  \ddt\ni &=&
%
  - \frac{1}{r} \ddr r \ni \uir
%
  + \frac{\nuion}{\Zi}\, \frac{\ne}{\nna+\nnb}\, (\nna+\nnb)
%
  - \frac{\nuL}{\Zi} (\ne - \nediv) 
\nonumber\\[2.5mm]&&{}
%
  + \nub \nb
%
  - \frac{\Pb}{\Eb}
%
  + S_\r{LC}
\\[5mm]
%
% \ni \uir 
%
  \ddt \ni \uir &=&
%
  - \frac{1}{r} \ddr r \uir \ni \uir
%
  + \frac{1}{r} \uith \ni \uith
%
  - \ddr \frac{\ni \Ti}{\mi}
\nonumber\\[3mm]&&{}
%
  + \Zi \frac{e}{\mi}\ni \Er
%
  + \Zi \frac{e}{\mi} \Bph \ni \uith
%
  - \Zi \frac{e}{\mi} \Bth \ni \uiph
\\[5mm]
%
% \ni \uith
%
  \ddt \ni \uith &=&
%
  - \frac{1}{r^2} \ddr r^2 \uir \ni \uith
%
  + \frac{1}{r^2} \ddr r^3 \ni \mui \ddr \frac{\uith}{r}
%
  + \Zi \frac{e}{\mi} \ni \Eth
%
  - \Zi \frac{e}{\mi} \Bph \ni \uir
\nonumber\\[2.5mm]&&{}
%
  - \nuNCi \ni \uith
%
  - \frac{\me}{\mi} \nuei \ne (\uith - \ueth)
%
  - \frac{\mb}{\mi} \nu_\r{bi} \nb (\uith - \ubth)
\nonumber\\[2.5mm]&&{}
%
  + \frac{e^2 \Bph^2 \De}{\mi\Te}\ne
    \left(\ueth - \ave{\frac{\omega}{m}}_\r{e} r \right)
%
  - \frac{\Zi^2 e^2 \Bph^2 \Di}{\mi\Ti}\ni
    \left(\uith - \ave{\frac{\omega}{m}}_\r{i} r \right)
%
%%  - (-e) \Bph
%%    \left\{
%%      \ne \De
%%      \left(
%%        - \rdprd{}{r} \ln \ne
%%        + \frac{(-e) E_r}{\Te}
%%        + \aveaveB{\frac{\omega}{m}} r
%%          \frac{(-e) \Bph}{\Te}
%%      \right)
%%      - \ne \left( \mue - \frac{\De}{2} \right) \rdprd{}{r} \ln \Te
%%    \right\}
%%\nonumber\\[2.5mm]&&{}
%%  + \Zi e \Bph
%%    \left\{
%%      \ni \Di
%%      \left(
%%        - \rdprd{}{r} \ln \ni
%%        + \frac{\Zi e E_r}{\Ti}
%%        + \aveaveB{\frac{\omega}{m}} r
%%          \frac{\Zi e \Bph}{\Ti}
%%      \right)
%%      - \ni \left( \mui - \frac{\Di}{2} \right) \rdprd{}{r} \ln \Ti
%%    \right\}
\nonumber\\[2.5mm]&&{}
%
  - 2\, \nuL \ni \uith
%
  - \nuni \ni \uith
%
  - \nuCX \ni \uith
%
  + S_\r{LC\theta}
\nonumber\\[2.5mm]&&{}
%
  - \nu_\r{iHL} (1 - u_{\r{H}\theta}^2) \ni \uith
%
  + \nu_\r{iHL} u_{\r{H}\phi} u_{\r{H}\theta} \ni \uiph
\\[5mm]
%
% \ni \uiph
%
  \ddt \ni \uiph &=&
%
  - \frac{1}{r} \ddr r \uir \ni \uiph
%
  + \frac{1}{r} \ddr r \ni \mui \ddr \uiph
%\nonumber\\[2.5mm]&&{}
%
  + \Zi \frac{e}{\mi} \ni \Eph
%
  + \Zi \frac{e}{\mi} \Bth \ni \uir 
\nonumber\\[2.5mm]&&{}
%
  - \frac{\me}{\mi} \nuei \ne (\uiph - \ueph)
%
  - \frac{\mb}{\mi} \nubi \nb (\uiph - \ubph)
\nonumber\\[2.5mm]&&{}
%
  - 2\, \nuL \ni \uiph
%
  - \nuni \ni \uiph
%
  - \nuCX \ni \uiph
%
  + S_\r{LC\phi}
\nonumber\\[2.5mm]&&{}
%
  - \nu_\r{iHL} u_{\r{H}\phi} u_{\r{H}\theta} \ni \uith
%
  + \nu_\r{iHL} (1 - u_{\r{H}\theta}^2) \ni \uiph
\\[5mm]
%
% \Ti
%
  \ddt \, \frac{3}{2} \ni \Ti &=&
%
 - \frac{1}{r} \ddr r
   \left( \frac{5}{2} \uir \ni \Ti - \frac{3}{2} \ni \chi \ddr \Ti \right)
%
  + \Zi e \Eth \ni \uith
%
  + \Zi e \Eph \ni \uiph
\nonumber\\[2.5mm]&&{}
%
  - \nuTei \ne (\Ti - \Te)
%
  - \frac{1}{2} \mb \vb \nubi \nb (\uiph - \ubph)
%
  - \frac{5}{2} \nuL \ni (\Ti - \Tidiv)
%
  + \PRFi
\\[5mm]
%
% \nb
%
  \ddt \nb &=&
%
    \frac{\Pb}{\Eb}
%
  - \nub \nb
\\[5mm]
%
% \nb \ubth 
%
  \ddt \nb \ubth &=&
%
    \frac{1}{r} \ubth \nb \ubth
%
  + \Zb \frac{e}{\mb} \nb \Er 
%
  + \Zb \frac{e}{\mb} \Bph \nb \ubth
%
  - \Zb \frac{e}{\mb} \Bth \nb \ubph
\\[5mm]
%
% \nb  \ubph
%
  \ddt \nb \ubph &=&
%
  - \nube \nb (\ubph - \ueph)
%
  - \nubi \nb (\ubph - \uiph)
%
  + \vb \frac{\Pb}{\Eb}
\\[5mm]
%
% \nna
%
  \ddt \nna &=& 
%
    \frac{1}{r} \ddr r D_{01} \ddr \nna
%
  - \frac{1}{\Zi}\, \nuion\, \frac{\ne}{\nna+\nnb}\, \nna
%
  - \nuCX\, \frac{\ni}{\nna+\nnb}\, \nna
\nonumber\\[2.5mm]&&{}
%
  + \gamma_0 \frac{\nuL}{\Zi} \, (\ne - \nediv)
\\[5mm]
%
% \nnb
%
  \ddt \nnb &=& 
%
    \frac{1}{r} \ddr r D_{02} \ddr \nnb
%
  - \frac{1}{\Zi}\, \nuion\, \frac{\ne}{\nna+\nnb}\, \nnb
%
  + \nuCX\, \frac{\ni}{\nna+\nnb}\, \nna
%
  + \frac{\Pb}{\Eb}
\end{eqnarray}

\bigskip

\section{Boundary Conditions}

\begin{tabular}{|c|c|c|c|c|}\hline
 num. & name & variable     & center & edge \\\hline
 1    & LQm1 & $\Er$        & 0      & N\\
 2    & LQm2 & $\Eth$       & 0      & N\\
 3    & LQm3 & $\Eph$       & N      & N\\
 4    & LQm4 & $\frac{1}{r}\frac{\partial}{\partial r}(r \Bth)$       & N      & N\\
 5    & LQm5 & $\Bph$       & N      & $B_{\phi \r{V}}$\\
 6    & LQe1 & $\ne$        & N      & N\\
 7    & LQe2 & $\ne \uer$   & 0      & N\\
 8    & LQe3 & $\frac{\ne \ueth}{r}$  & N      & N\\
 9    & LQe4 & $\ne \ueph$  & N      & N\\
 10   & LQe5 & $\ne \Te$    & N      & N\\
 11   & LQi1 & $\ni$        & N      & N\\
 12   & LQi2 & $\ni \uir$   & 0      & N\\
 13   & LQi3 & $\frac{\ni \uith}{r}$  & N      & N\\
 14   & LQi4 & $\ni \uiph$  & N      & N\\
 15   & LQi5 & $\ni \Ti$    & N      & N\\
 16   & LQb1 & $\nb$        & N      & N\\
 17   & LQb3 & $\frac{\nb \ubth}{r}$  & N      & N\\
 18   & LQb4 & $\nb \ubph$  & N      & N\\
 19   & LQn1 & $\nna$       & N      & N\\
 20   & LQn2 & $\nnb$       & N      & \mbox{Gas Puff}\\\hline
 \multicolumn{5}{l}{0: zero imposed}\\
 \multicolumn{5}{l}{N: no condition imposed}
\end{tabular}


\end{document}
