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Unformatted text preview: actual function. Consider the fourier basis e inx for n =N, . .., + N , and the corresponding sum + N X n =N c n e inx Calculate the values of c n by numerically approximating the integral Z +  f ( x ) einx dx , that is, by dividing the range [, + ] , into small intervals and approximating the integral as a sum. Show graphs of how well f ( x ) is approximated by overlaying the series over f ( x ) for various values of N (for example, N = 5 , 10 , 20 , 50 ). 1...
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 Spring '08
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 Algorithms

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