09 - Series, Vectors.pdf
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Department
Chemistry
Course
CHEM 5
Professor
Douglas Tobias
Semester
Fall

Description
Total Score 26/26 Sabrina Lugo Section B 11/30/2013 Homework #9 # 1: Use Mathematica to find a closed form expression for the sum: n2n+1 ⁄¶ H-1L x n=0 H2n+1L! IH-1L * x 2*n+M [email protected]_D := ; H2 * n + 1L! [email protected]@nD, 8n, 0, Infinity 6 120 5040 6 120 5040 6 120 5040 362880 Printed by Wolfram Mathematica Student Edition 2 sclugo_HW9.nb H*Answer*L 150 100 50 -6 -4 -2 2 4 6 -50 -100 -150 sinh(x) is an odd function. #3: Let the Fourier transform for a function f(x) be g(k). The Fourier transform of the derivation of f(x) is equal to ikg(k). Use the symbolic Fourier transform in Mathematica with the option FourierParameters z -cx2 {0,-1} To verify this relation for the Gaussian function, f(x) = e [email protected]; I-c*x M [email protected]_D := DAE , xE; [email protected]_D := [email protected]@xD, x, k, FourierParameters Ø 80, -1
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