deletions | additions       diff --git a/For_each_of_the_equal__.tex b/For_each_of_the_equal__.tex  index 3fcf9e2..5f4bafc 100644  --- a/For_each_of_the_equal__.tex  +++ b/For_each_of_the_equal__.tex 
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\begin{equation}   \mathrm{CCDF} = 1-\frac{N(>M)}{N_{\mathrm{tot}}}=1-\frac{1}{N_{\mathrm{tot}}}\int^\infty_M \frac{dN}{dM}dM  \end{equation}  We fit three models to the CCDF using the {\sc powerlaw} package by \cite{Alstott_2014}. The generalCCDF  form of the mass distribution function  is \begin{equation}   \frac{dN}{dM} = M^{\beta} \exp\left(-\frac{M}{M_c}\right),  \end{equation}