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Problem 1: Error of least squares approximation (concept question) Recall that the least squares problem minimizes the overall error of approximation; i.e, it determines fo(x)
Problem 1: Error of least squares approximation (concept question) Recall that the least squares problem minimizes the overall error of approximation; i.e, it determines fo(x) such that the square of the norm of the error, lle|12 = 1If - fall2 is minimized. Prove that (f - fa, bi) = 0 for di E {bo, . .., $n). Use: . domain [a, b] . basis functions symbolically written as {do, . .., da} . the inner product definition, (u, v) = fru(x)v(x)dx Hint: At the minimum of a function g(a, b, c), = 0
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