Is there a way to derive range interval for a complicated expression based on the bounds of parameters?
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Newsgroups: comp.soft-sys.math.maple
From: Luna Moon <lunamoonm...@gmail.com>Date: Wed, 23 Jul 2008 07:30:29 -0700 (PDT)
Local: Wed, Jul 23 2008 10:30 am
Subject: Is there a way to derive range interval for a complicated expression based on the bounds of parameters?
Hi, Is there a way to derive range interval for a complicated expression
based on the bounds of parameters?
Let's say I have a function f(a, b, c, d, e, f, g, h, i, j, k) where a
is the variable and b, c, d, e, f, g, h, i, j, k are parameters.
I give each parameter a interval with lower and upper bound, for
example, b is in [b_lo, b_hi], etc.
Is there a way to derive the range of the function f based on these
bounds of parameters and bounds of variables?
Thanks!
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Newsgroups: comp.soft-sys.math.maple
From: A N Niel <ann...@nym.alias.net.invalid>Date: Wed, 23 Jul 2008 11:34:38 -0400
Local: Wed, Jul 23 2008 11:34 am
Subject: Re: Is there a way to derive range interval for a complicated expression based on the bounds of parameters?
In article <a7bc4000-8e0b-4bd1-ba04-a5ca0ce3d ...@l42g2000hsc.googlegroups.com>,
Luna Moon <lunamoonm ...@gmail.com> wrote: > Hi, > Is there a way to derive range interval for a complicated expression
> based on the bounds of parameters?
> Let's say I have a function f(a, b, c, d, e, f, g, h, i, j, k) where a
> is the variable and b, c, d, e, f, g, h, i, j, k are parameters.
> I give each parameter a interval with lower and upper bound, for
> example, b is in [b_lo, b_hi], etc.
> Is there a way to derive the range of the function f based on these
> bounds of parameters and bounds of variables?
> Thanks!
search "Interval Arithmetic"
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Newsgroups: comp.soft-sys.math.maple
From: Helmut Jarausch <jarau...@skynet.be>Date: Thu, 24 Jul 2008 16:17:21 +0200
Local: Thurs, Jul 24 2008 10:17 am
Subject: Re: Is there a way to derive range interval for a complicated expression based on the bounds of parameters?
Luna Moon wrote: > Hi, > Is there a way to derive range interval for a complicated expression
> based on the bounds of parameters?
> Let's say I have a function f(a, b, c, d, e, f, g, h, i, j, k) where a
> is the variable and b, c, d, e, f, g, h, i, j, k are parameters.
> I give each parameter a interval with lower and upper bound, for
> example, b is in [b_lo, b_hi], etc.
> Is there a way to derive the range of the function f based on these
> bounds of parameters and bounds of variables?
You might have a look at http://www.math.uni-wuppertal.de/org/WRST/software/intpakX/d_l_c.html
and more ambitious
http://www-sop.inria.fr/coprin/logiciels/ALIAS/ALIAS-Maple/ALIAS-Mapl...
--
Helmut Jarausch
Lehrstuhl fuer Numerische Mathematik
RWTH - Aachen University
D 52056 Aachen, Germany
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