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% Michael Drinkwater, UNSW, 1997 June 12
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\def\I{{\rm \thinspace \small I}}
\def\II{{\rm \thinspace \small II}}
\def\III{{\rm \thinspace \small III}}
\def\IV{{\rm \thinspace \small IV}}
\def\V{{\rm \thinspace \small V}}
\def\VI{{\rm \thinspace \small VI}}
\begin{document}

\section{Spectral Features}
\begin{tabular}{rl}
 Lambda &  Feature \\
 912.0  &  Lyman limit  \\
1026.0  &  Ly $\beta$  \\
1034.0  &  O\VI  \\
1216.0  &  Ly $\alpha$  \\
1240.0  &  N\V  \\
1400.0  &  Si\IV+O\IV  \\
1549.0  &  C\IV  \\
1640.0  &  He\II  \\
1909.0  &  C\III]  \\
2798.0  &  Mg\II  \\
3426.0  &  [Ne\V]  \\
3727.3  &  [O\II]  \\
3868.7  &  [Ne\III]  \\
3951.0  &  Ca H,K (absn.)  \\
4101.7  &  H $\delta$  \\
4226.0  &  Ca\I\  (absn.)  \\
4324.0  &  G band (absn.)  \\
4340.5  &  H $\gamma$  \\
4363.0  &  [O\III]  \\
4861.3  &  H $\beta$  \\
4958.9  &  [O\III]  \\
5006.8  &  [O\III]  \\
5177.0  &  Mg {\it b} triplet (absn.)  \\
5268.0  &  Fe\I\  blend (absn.)  \\
5875.6  &  He\I  \\
6300.0  &  [O\I]  \\
6548.1  &  [N\II]  \\
6562.8  &  H $\alpha$  \\
6583.6  &  [N\II]  \\
6717.0  &  [S\II] doublet  \\
6731.3  &  [S\II] doublet  \\
HI & 1420405751.786 Hz
\end{tabular}  

\section{Line Ratios}
%\bigskip
\hfil
\begin{tabular}{lrrrr}
Feature     &  Si\IV+O\IV &  C\IV &  C\III] &  Mg\II \\
Ly $\alpha$ &  1.15       &  1.27 &  1.57   &  2.30  \\
Si\IV+O\IV  &             &  1.11 &  1.36   &  2.00  \\
C\IV        &             &       &  1.23   &  1.81  \\
C\III]      &             &       &         &  1.47  \\
\end{tabular}
%\bigskip

\vspace{2cm}

\section{Redshift}
%\bigskip
\begin{eqnarray*}
z & = & {\lambda_{obs} \over \lambda_0 } - 1 \\
  & = & \sqrt{{1+v/c}\over{1-v/c}} - 1  \\
  & \approx  & v/c, v<<c  \\
\end{eqnarray*}

\begin{eqnarray*}
{v \over c} & = & {(z+1)^2 -1 \over (z+1)^2 +1} \\
\end{eqnarray*}

\begin{eqnarray*}
 {\Delta v \over c} & \approx & { \Delta z \over 1 + \bar z } \\
                    &  \approx & {\Delta \lambda \over \lambda_{obs}  }
\end{eqnarray*}

\section{Constants (cgs)}

\begin{tabular}{ll}
Astronomical unit  &  $1.50\times10^{13}$cm \\
Parsec             &  $3.09\times10^{18}$cm \\
                   &  $=3.26$ light year \\
Year               &  $3.16\times10^{7}$s \\
Solar mass         &  $1.99\times10^{33}$gm \\
Solar radius       &  $6.96\times10^{10}$cm \\
Solar luminosity   &  $3.90\times10^{33}$ergs$^{-1}$ \\
Earth mass         &  $5.98\times10^{27}$gm \\
Earth radius       &  $6.37\times10^{8}$cm \\
Speed of light     &  $3.00\times10^{10}$cms$^{-1}$ \\
\end{tabular}

\section{Crib}

Boyle QSO number counts ($z<2.2$)\\
$B<20$ slope 0.9 or x8 per mag\\
$B>20$ slope 0.3 or x2 per mag\\

\end{document}