\begin{table}%t1
\par
\caption{Parameter definitions.\label{t:params}}
%\centerline
 {\begin{tabular}{ccc}
\hline\hline
Designation & Definition & Range in library \\
      (1)         &     (2)        &   (3)        \\
\hline
Formation time $T_{\textrm{\tiny form}}$ & Time since the galaxy first started forming stars & $10^8 {-} 14\times10^9$~yr \\
Timescale of SFH $\gamma$ & $\Psi(t) \propto {\rm e}^{-\gamma t}$ & 
$0 {-} 7$~Gyr$^{-1}$ \\
Stellar mass $M^*$$^{{a}}$ & $M^*  =  \int_{0}^{T_{{\rm form}}} {\rm d}t \Psi(t) (1-R(t))$ & 0.01--10 $M_{\odot}$ \\
Star formation rate SFR$^{{a}}$ & ${\it SFR} = \int_{0}^{10^8} {\rm d}t \Psi(t) / 10^8 \textrm{yr}$ & $10^{-30}{-}10^{-7.5}$~$M_{\odot}$/yr \\
Time of the last burst $T_{\textrm{\tiny lb}}$ & Time since begin of last burst & $0 {-} 14\times10^9$~yr \\
Metallicity $Z$ & Abundance of all metals heavier than He & 0.2--2~$Z_{\odot}$ \\
Mean age in $r$-band $\langle\textrm{age}_r\rangle$ &  $\langle\textrm{age}_r\rangle$ = $\frac{\int_{0}^{T_{{\rm form}}} {\rm d}t \Psi(t) (1-R(t)) \Upsilon_r(t)^{-1} t }{ \int_{0}^{T_{{\rm form}}} {\rm d}t \Psi(t) (1-R(t)) \Upsilon_r(t)^{-1}} $ & $10^6 {-} 14\times10^9$ yr \\
Mean mass weighted age $\langle\textrm{age}_{\rm m}\rangle$ & $\langle\textrm{age}_{\rm m}\rangle$ = $\frac{\int_{0}^{T_{{\rm form}}} {\rm d}t \Psi(t) (1-R(t)) t }{ \int_{0}^{T_{{\rm form}}} {\rm d}t \Psi(t) (1-R(t))} $ & $10^6 {-} 14\times10^9$~yr \\
Effective attenuation $\tau_V$ & $T_{V} = {\rm e}^{-\tau_V}$ & 0--6 \\
\hline
\end{tabular}}
\par
\smallskip
$^{{a}}$ The parameters $M^*$ and SFR are subject to 
renormalization for each galaxy, depending on the ratio between 
the intrinsic luminosity of the object and the intrinsic luminosity 
of the model galaxy.
\end{table}