Relationship To The Kronecker Delta
The Kronecker delta is the quantity defined by
for all integers i, j. This function then satisfies the following analog of the sifting property: if is any doubly infinite sequence, then
Similarly, for any real or complex valued continuous function ƒ on R, the Dirac delta satisfies the sifting property
This exhibits the Kronecker delta function as a discrete analog of the Dirac delta function.
Read more about this topic: Dirac Delta Function
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“Every relationship that does not raise us up pulls us down, and vice versa; this is why men usually sink down somewhat when they take wives while women are usually somewhat raised up. Overly spiritual men require marriage every bit as much as they resist it as bitter medicine.”
—Friedrich Nietzsche (1844–1900)