Query about dirac delta function

2023 2 10
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更新时间：2023 2 10
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回答（1 个）

John D'Errico
John D'Errico 2023-2-10
编辑：John D'Errico 2023-2-10
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It seems pretty clear.
help dirac
--- help for sym/dirac --- DIRAC Symbolic delta function. DIRAC(X) is zero for all X, except X == 0 where it is infinite. DIRAC(X) is not a function in the strict sense, but rather a distribution with int(dirac(x-a)*f(x),-inf,inf) = f(a) and diff(heaviside(x),x) = dirac(x). DIRAC(N,X) represents the N-th derivative of DIRAC(X). See also SYM/HEAVISIDE. Documentation for sym/dirac doc sym/dirac Other uses of dirac double/dirac single/dirac
So dirac(2,w) is the second derivative of that function, at w. yes, I know how can you differentiate a function like a Dirac delta? If you want to understand what the derivatives of the Dirac Delta function are, you will want to do some reading, where someone has already spent a fair amount of time to explain it.
https://en.wikipedia.org/wiki/Dirac_delta_function

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