Re: Definition of intervals as subsets of R - the bad news
Ah, I think I'm beginning to see this point of view:
It might not be so bad to leave explicitly undefined
certain cases which seldom occur and for which definition
of them would be confusing and possibly require performance
hits.
Baker
On 2/19/2009 12:41 PM, Siegfried M. Rump wrote:
.
.
.
> You can write in the documentation/definition of interval arithmetic
> what you want, users would not understand this. It is academic.
>
> I think it is a BAD MISTAKE to enforce such a definition.
>
> The behavior is perfectly documented, but it is perfectly what most users
> would NOT expect. It may be correct, but it is not right.
>
> And after a short while people forget it - if they ever knew it - and
> results become incorrect: The worst what can happen in the interval arena.
> As you see, I already forgot it.
>
> I am positive my INTLAB users would grill me if I implement this.
>
> Cheers, Siegfried
>
>
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R. Baker Kearfott, rbk@xxxxxxxxxxxxx (337) 482-5346 (fax)
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Department of Mathematics, University of Louisiana at Lafayette
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