Unformatted text preview: f ( x ) = 7 . 6 cos 2 x ? What multiple of sin x is closest to f = cos 3 x ? 6. Keener 2.2.4 (p.95) 7. Assuming that the operations of summation and integration can be interchanged, show that for f = X α i ϕ i and g = X β i ϕ i , with normalized orthogonal basis vectors { ϕ i } and the L 2 [ a, b ] inner product, we have the generalized Parseval’s equality: Z b a f ( x ) g ( x ) dx = ∞ X n =1 α n β n Version 1.1...
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 Fall '04
 BELMONTE
 Linear Algebra, Applied Mathematics, Derivative, Vectors, Vector Space, Hilbert space, valid inner product

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