deletions | additions       diff --git a/Comparison to Toy Models.tex b/Comparison to Toy Models.tex  index 63cc8d4..3bb4105 100644  --- a/Comparison to Toy Models.tex  +++ b/Comparison to Toy Models.tex 
...
\Subsection{Velocity Modeling and Cuts}  As mentioned previously, the argument that the disk model fails to adequetely describe the data depends on the extent to which the selection cuts adequately exclude edge-on and out-of-phase disks from our SDSS sample, if such things exist. This argument can be summarized by the claim that it would be difficult to observationally distinguish an edge-on rotating disk from a dumbbell rotating in the line-of-sight direction. Previously, we had assigned a charactaristic velocity of 100 km/s to the satellites and only cut on satellites whos 1D velocity offset was less than 35 km/s km/s. Since the toy model is essentially scale-free, this is best viewed as cutting on satellites that have a 1D velocity offset less than 35\% of the charactaristic 3D velocity for satellites of the host.