disc3 - , 2 ,... Use the L 2 [0 , 1] inner product and...

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Department of Chemical Engineering University of California, Santa Barbara ChE 230A Fall 2006 Instructor: Glenn Fredrickson Discussion Topic #3 For Discussion Section: Friday, October 6, 2006 Consider the set of functions { φ 0 ( x ) 1 ( x ) ,... } that are the monomials, i.e. φ n ( x ) = x n , n = 0 , 1
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Unformatted text preview: , 2 ,... Use the L 2 [0 , 1] inner product and carry out the Gram-Schmidt procedure to deduce the rst three orthogonal polynomials, e ( x ) , e 1 ( x ), and e 2 ( x ) that are orthonormal in the L 2 sense over the interval 0 x 1....
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