deletions | additions       diff --git a/quiescent_fraction.tex b/quiescent_fraction.tex  index a2a9097..84366d4 100644  --- a/quiescent_fraction.tex  +++ b/quiescent_fraction.tex 
...
Moreover, at $\mstar<8\times10^7\msun$, only 1 (LGS 3) of the 51 satellites is star-forming, and at $\mstar<9\times10^5\msun$ \emph{all} 40 satellites are quiescent.  These near-unity quiescent fractions for satellites of the MW/M31 contrast strongly with the nearly \emph{zero} quiescent fraction observed for isolated (non-satellite) galaxies at $\mstar<10^9\msun$ \citep[][see Introduction]{Geha2012, Phillips2014}.  The only clear exceptions are KKR 25 ($\mstar=1.4\times10^6\msun$) and KKs 3 ($\mstar=2.3\times10^7\msun$), quiescent galaxies that are $\approx2\mpc$ from the MW/M31. %we're complete within the MW Rvir only to more like 10^5 (again, in the SDSS cone, which we at least hope is a representative sample). If you want to go out to like an Mpc (~splashback?), then you're getting more towards completeness ony for > 10^6, so missing things in the 10^ 5-8 range might indeed be a selection effect (especially given presumably there are more fainter ones).