Unformatted text preview: of orthogonal functions g i in terms of the f i . 7. Using the generalized deﬁnition of the angle between two elements of a inner product space, (a) show that the angle between x and x 2 is about 14 . 5 ◦ , where the inner product h f, g i ≡ Z 2 f ( x ) g ( x ) dx ; (b) what would the angle between the same two functions be for the innner product h f, g i ≡ Z 6 1 f ( x ) g ( x ) dx...
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This note was uploaded on 07/23/2008 for the course MATH 580 taught by Professor Belmonte during the Fall '04 term at Penn State.
 Fall '04
 BELMONTE
 Math, Applied Mathematics

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