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==Differentiation/Integration==
 
 
(1) <math>\frac{dx(t)}{dt} \rightarrow j\omega \Chi (\omega)</math>
 
(1) <math>\frac{dx(t)}{dt} \rightarrow j\omega \Chi (\omega)</math>
  
 
(2) <math>\int_{-\infty}^{t}x(\tau)d\tau \rightarrow \frac{1}{j\omega}\Chi (\omega) + \pi \Chi (0) \delta (\omega)</math>
 
(2) <math>\int_{-\infty}^{t}x(\tau)d\tau \rightarrow \frac{1}{j\omega}\Chi (\omega) + \pi \Chi (0) \delta (\omega)</math>

Revision as of 18:18, 8 October 2008

(1) $ \frac{dx(t)}{dt} \rightarrow j\omega \Chi (\omega) $

(2) $ \int_{-\infty}^{t}x(\tau)d\tau \rightarrow \frac{1}{j\omega}\Chi (\omega) + \pi \Chi (0) \delta (\omega) $

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett