Heaviside Function Properties

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Heaviside Function Properties

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Microsoft Word HEAVISIDE doc t a 2 dH lim exp a t a dt 0 Plotting the term within the curly bracket for different values of shows the Gaussian functions With the derivative of H t a clearly approaching the spike form Let H x be the Heaviside function defined by 1 if x 0 0 if x 0 I know that H x x The derivative of the Heaviside function is the delta function x x The delta function is symetric Does H x H x

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