In article <email@example.com>, MBALOVER <firstname.lastname@example.org> wrote:
> Hi all, > > From WIKI, I learn that dirac delta function is not a true function. > However, I do not understand the explanation in WIKI and still get > confused, why it is not a TRUE function. > > Could you please help me to understand it? > > Thank you.
A function from a set A to a set B is an assignment of an element of B to each element of A.
If A and B are not specified, it is often assumed that both are taken to be the set R of real numbers.
The Dirac delta function does not assign a real number to zero, and is thus not a true function.
-- Gerry Myerson (email@example.com) (i -> u for email)