deletions | additions       diff --git a/WSPD_Approximation_For_our_approximation__.md b/WSPD_Approximation_For_our_approximation__.md  index 7bc3c50..cbc18c4 100644  --- a/WSPD_Approximation_For_our_approximation__.md  +++ b/WSPD_Approximation_For_our_approximation__.md 
...
We justify this strategy by noting that we're going to use our `diameter` sub-routine. This calculates the optimal diameter with `i',j'` poles. As such, any particular point-pole connection strategy we choose for analysis will never result in a better diameter than our system.  What is the radius of the circle centered at `i'`? By the triangle inequality if we set the radius to be \(|i,i'| + L_l\) L_r\)  where \(L_l\) \(L_r\)  was the optimal radius then we cover all of the same points. The same thing applies for `j'`. As such, we have that our diameter is given by the following: following \(\left(|i,i'| + L_r \right) + \left(|j,j'| + R_r \right) + |i',j'|\).