Because d -d cos (nx / d) cos (mx / dx) = 0, m n, the
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Because ʃd-d cos (nπx / d) cos (mπx / dx) = 0, m ≠n, the functions cos (n π x/d) for n = 1, 2, 3, . . . form an orthogonal set in the interval (−d, d). What constant must these functions be multiplied by to form an orthonormal set?
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