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I've recently come across this function in one of my science classes and am wondering were this identity comes from:

[tex]\displaystyle{\int{\delta(t-\tau)f(\tau)d\tau}=f(t)} [/tex]

Where [tex]\delta(t)[/tex] is the dirac delta function and f(t) is any (continuous?) function.

[tex]\displaystyle{\int{\delta(t-\tau)f(\tau)d\tau}=f(t)} [/tex]

Where [tex]\delta(t)[/tex] is the dirac delta function and f(t) is any (continuous?) function.

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