Re: Re: Re: Integration
- To: mathgroup at smc.vnet.net
- Subject: [mg44371] Re: [mg44308] Re: [mg44277] Re: Integration
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Fri, 7 Nov 2003 05:16:14 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <email@example.com> <firstname.lastname@example.org> <200311040823.DAA10480@smc.vnet.net> <200311051500.KAA26314@smc.vnet.net>
- Reply-to: murray at math.umass.edu
- Sender: owner-wri-mathgroup at wolfram.com
Is the difficulty here merely one of time and space, or an incomplete
implementation in Mathematica? After all, Risch's by-now old algorithm
determines whether a given elementary function has an elementary
antiderivative and, if there is one, finds it in finitely many steps.
Andrzej Kozlowski wrote:
> On 4 Nov 2003, at 17:23, Alex wrote:
>>Wolfram proudly declares that his Mathematika can handle any integral
>>computable in terms of elementary functions. Well, here is one, which
>>it can not handle, and I am pretty sure, this is not the only one.
> There is no computer program or a human being who can do that and no
> sane person would make this sort of claim. Unless, that is,"can handle"
> means "can handle in principle" - in other words, there are no specific
> types of such integrals it "can't handle", in which case the claim is
> Andrzej Kozlowski
> Yokohama, Japan
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
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