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# Math Problem in Mathematica
The problem I would like to formulate in Mathematica is: Let f[i,j] =
Abs[Sqrt[1-(i/n)^2]-j/n]. i and j run from 1 to n, and n is a fixed
integer >=1. I want to find the sum S of the minimum of f over j, for
each i for given n.
Example: n=7. Min (i=1, j from 1 to 7)= .01
Min (i=2, """ )= .04
Min (i=3, ... = .05
etc.
and the sum S = 0.20.
FindMinimum seemed like the right idea, but I don't know how to make it
work for a function of discrete values.
The problem appears as Problem 10365 in AMM.
Daniel Tisdale
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