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Mathematic Methods HW Solutions 39

Mathematic Methods HW Solutions 39 - Chapter 7 39 cos 2α...

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Unformatted text preview: Chapter 7 39 cos 2α − 1 2 ∞ cos 2α − 1 , f (x) = sin αx dα, iπα π0 α 8 ∞ cos α sin2 (α/2) cos αx dα, π/8 13.16 f (x) = π0 α2 13.15 g (α) = ∞ 13.19 0 |f (x)|2 dx = ∞ 0 |gc (α)|2 dα = 2 sin2 αa 13.20 g (α) = , πa3 /3 π α2 ∞ 0 |gs (α)|2 dα 13.23 π 2 /8 −π/4 ...
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