Query about dirac delta function

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Shaukhin 2023-2-10

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https://ww2.mathworks.cn/matlabcentral/answers/1910495-query-about-dirac-delta-function

编辑： John D'Errico 2023-2-10

What do you mean in matlab by dirac(2,w)?

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Answer 1

John D'Errico 2023-2-10

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编辑：John D'Errico 2023-2-10

在 MATLAB Online 中打开

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