Re: Dirac-Delta function
From: Shmuel (Seymour J.) Metz (spamtrap_at_library.lspace.org.invalid)
Date: 10/05/04
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Date: Mon, 04 Oct 2004 22:48:02 -0300
In <df76407e.0410031416.59272ef@posting.google.com>, on 10/03/2004
at 03:16 PM, poespam-trap@yahoo.com (Randy Poe) said:
>Someone else pointed out that "distribution" here means something
>different from "probability distribution". It's a generalization of
>the concept of "function".
Not quite; a distribution *is* a function, but not a function of a
real or complex variables; it is a function whose domain is a space of
functions. There is a strong connection between distributions in
Functional Analysis and distributions in Probability Theory.
>In a course in probability theory, the text used Riemann-Stieltjes
>integrals,
In a more advanced course you'd use Lebesgue Integrals, and the
discrete case would work naturally.
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