deletions | additions       diff --git a/untitled.tex b/untitled.tex  index a888fbd..07186b8 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
Analysis  We examined the GMC properties as in Solomon et al. (1987). M83 clouds exhibit similar relationships for velocity line width to radius, which confirms our assumption of the clouds being in virial equilibrium. As well, the virial mass to luminous mass and luminous mass to radius relationships are also consistent with previous findings. We then binned the clouds by equal surface area on the disk as in Adamo et al. (2015), and for each bin examined the cumulative mass function:  \begin{center} $N(>M)=\int^\infty_M \frac{dN}{dM}dM=\frac{\beta M_\odot}{\alpha+1}\left(\frac{M}{M_\odot}\right)