I have $n$ points $(x_1, y_1), (x_2, y_2), \ldots, (x_n, y_n)$ all located in the unit square $[0,1] \times [0,1]$. I am trying to compute the largest distance from a point in the unit square to the closest $(x_i,y_i)$. Is there some sort of formula for this quantity in terms of the $x_i,y_i$?
Thanks.