deletions | additions       diff --git a/quiescent_fraction.tex b/quiescent_fraction.tex  index f6d5a0b..1898a99 100644  --- a/quiescent_fraction.tex  +++ b/quiescent_fraction.tex 
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\subsection{Observed Quiescent Fractions for Satellites}  Based %Based  on our above definitions of ``satellite'' and ''quiescent'' dwarf galaxies, we galaxies.  We  group all satellites satellite dwarf galaxies  in the LG into 1-dex bins of $\mstar$ and compute the fraction that are quiescent in each bin. We do not attempt any correction for observational completeness as a function of $\mstar$, because we measure the \emph{relative fraction} that are quiescent in each bin.  This is likely an unbiased metric, absent significant differential completeness as a function of recent star formation, which is unlikely because star-forming galaxies are generally brighter, but the quiescent fraction is near unity across almost all $\mstar$.