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Delta Functions - University of California, Berkeley

Exercise 2.1. Using the definition of a Dirac Delta function given in equation (9), prove that the Dirac Delta function has to be normalized. i.e. prove: Z ∞ −∞ δ(x)dx = 1 Another way that you can think of the Dirac Delta function is as the deriva-tive of the step (Heaviside) function, H(x). This function looks like: x 0 x H(x) y 1

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  Functions, Delta, Carid, Dirac delta function

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