Re: [理工] [工數]-Fourier Transform
※ 引述《DTpower (三/]\)》之銘言：
: Find F[f(x)] and evaluate the integration.
: f(x)=1 ,-1<x<1
: f(x)=0 , |x|>1
: ∞ sin^2(w)
: ∫ _________ dw
: -∞ w^2
∞ 1-cos(2w)
∫ ___________dw
-∞ 2w^2
1-exp^(i2z)
consider f(z) = ____________
2z^2
R
∫f(z)dz = lim ∫ f(x)dx + lim ∫f(z)dz + lim∫f(z)dz = 0
上半圓 R~∞ -R R~∞ e~0
∞
=> ∫ f(x)dx = (pi)i*f(z,0) = (pi)*i*(-i) = (pi)
-∞
筆電真難打= =
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