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Topic: dirac delta function is not a TRUE function??
Replies: 11   Last Post: Jul 19, 2011 11:08 PM

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Gerry Myerson

Posts: 4,919
Registered: 12/6/04
Re: dirac delta function is not a TRUE function??
Posted: Jul 11, 2011 10:36 PM
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In article
MBALOVER <mbalover9@gmail.com> 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 (gerry@maths.mq.edi.ai) (i -> u for email)

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