\def\msun {{\rm M}_{\odot}}
\def\arcmin {{\rm arcmin}}
\def\omegab {{ $\Omega_{\rm b}$  }}
\def\hsf { {$h_{64}$}}
\def\hmpc {{h$^{-1}$Mpc}}
\def\h3mpc {{h$^3$Mpc$^{-3}$}}
\def\tx {{T$_X$}}
\def\lx {{L$_X$}}
\def\lell {{L$_E$}~~}

\def\lsim{\mathrel{\hbox{\rlap{\hbox{\lower4pt\hbox{$\sim$}}}\hbox{$<$}}}}
\def\gsim{\mathrel{\hbox{\rlap{\hbox{\lower4pt\hbox{$\sim$}}}\hbox{$>$}}}}
\def\artanh{\mathrel{\rm arctanh}}

\def\magbest { {\tt MAG\_BEST} }
\def\pstar { {\tt CLASS\_STAR} }
\def\sex { {\tt SExtractor} }
\def\kms { {kms$^{-1}$} }
\def\n05 { {$N_{0.5}$} }
\def\bgc { {$B_{gc}$} }
\def\ks {{ $K_{\rm s}$ }}
\def\mstar {{M$^\star$}}
\def\op {{ $\Omega^\prime$ }}
\def\kp {{ $K^\prime$ }}

\def\eg{{e.g.\ }} 
\def \etal {et al.\ }


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