deletions | additions       diff --git a/and_showed_that_the_population__.tex b/and_showed_that_the_population__.tex  index c9d975d..9cc38fd 100644  --- a/and_showed_that_the_population__.tex  +++ b/and_showed_that_the_population__.tex 
...
With this relation, the population of the simulation can be separated into 128 logarithmically sized mass bins. It should be noted that to ensure each mass bin is filled with at least 1 integer object (ie no massless bins), the maximum radius reduces from 500km until the bin containing the highest radius is filled with 1 integer object.  With the initial conditions selected, the 128 mass bins range from a minimum radius of $5m$ to a reduced  maximum of $130km$. This maximum is above the typical observed radius, making it suitable for the simulation.