I am most certain that there is some error with the integral, as the result from FourierTransform can also be obtained from rule 207 in the List from Wikipedia. The significance of using the NIntegrate function is that Mathematica does not try to find a symbolic solution before starting on the numerical estimate.
#Mathematica nintegrate plus
Less important but still significant is the fact E (- (t/10)), which vanishes as t increases. Intgrales Calcule les intgrales avec Integrate : In 1: Out 1 Ou tape ESC intt ESC pour une expression mathmatique remplissable : (Pour en savoir plus sur les expressions remplissables, visitez Mathematical Typesetting. Some properties of the integrand The dominant factor of the integrand is E (-50 2), which means that the greatest contribution to the integral occurs near 0. When I calculate the Fourier transform of the function $$f(t) = \mathrm e^$$Īs you can see, we get different values for $\omega = 0.123$ and $\tau = 0.456$. NIntegrate::nlim: y z is not a valid limit of integration Notice that we want everything to be a numerical integration, this includes the inner integrals. This answer is based on observations of the behavior of NIntegrate. Mathematica cannot parallel compute Integrate or Nintegrate by just using Parallelize.
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