deletions | additions       diff --git a/simulation.tex b/simulation.tex  index 4662a46..9658ad2 100644  --- a/simulation.tex  +++ b/simulation.tex 
...
$mvir = 1.0 - 2.8 \times 10 ^ {12] msun$  host mass median, average = 1.65, 1.79  host mass per satellite median, average = 1.92, 1.88  not matter whether or not use tripled hosts.  see minor difference between paired and isolated hosts, but well within scatter.