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[MUG] Lebesgue-Integral
| [MUG] Lebesgue-Integral |
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Author: Classen, Manfred
Posted: Sat, 9 Nov 2002 17:51:13 +0100
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>> From: "Classen, Manfred" "m.classen"
Dear Meaple Experts,
I would like to know, if there exists a Maple-command for building the
lebesgue-integral.
In case there is one, please, tell me in which package it is included. If
there isn't such a
command in the ordinary Maple programm, could you tell me if there is any
such package
available in the internet? (What is the adress of such an internet page?)
Thanks for your help in advance!
Yours
Manfred
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| [MUG] Re: Lebesgue-Integral |
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Author: Maple User Group
Posted: Fri, 15 Nov 2002 10:35:35 -0500
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>> From: Maple User Group "maple_gr"
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Date: Mon, 11 Nov 2002 14:23:09 -0800 (PST)
From: Robert Israel "israel"
To: "maple-list"
Subject: Lebesgue-Integral
The command is int.
There is no separate command for the Lebesgue integral, nor is
there any need for one.
The Lebesgue integral agrees with the Riemann integral on all
functions that are Riemann integrable. There is no way
to specify a function in Maple that has a Lebesgue integral
but not a (pehaps improper) Riemann integral.
Robert Israel "israel"
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia
Vancouver, BC, Canada V6T 1Z2
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From: "Phil Mendelsohn" "phil"
To: "maple-list"
Subject: Lebesgue-Integral
Date: Tue, 12 Nov 2002 06:22:05 -0600
You might look on the maple application center, but I last time I checked, I
don't think there was one.
Easy enough to do in the case where you have a function know to be
L-integrable, but how do you use Maple to determine if the set of
discontinuities is of measure zero? (I hope my recollection of Lebesgue
integrals isn't too rusty.) I want to say that any function that is well
enough behaved to manage with Maple is probably Riemann-Stieltjes integrable
anyway??
Maybe this is "I second the question," rather than a useful answer, but I'd
like to know, too.
Cheers,
Phil Mendelsohn
--
"To misattribute a quote is unforgivable." -- Anonymous
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