Re: Re: Re: Limit of list

*To*: mathgroup at smc.vnet.net*Subject*: [mg57666] Re: [mg57626] Re: [mg57527] Re: Limit of list*From*: DrBob <drbob at bigfoot.com>*Date*: Fri, 3 Jun 2005 05:34:20 -0400 (EDT)*References*: <d79ejm$lb1$1@smc.vnet.net> <200505310859.EAA03396@smc.vnet.net> <opsrnpltapiz9bcq@monster.ma.dl.cox.net> <p06210287bec30fedd446@[130.95.156.21]> <200506020917.FAA11939@smc.vnet.net> <429F0C30.2020409@wolfram.com>*Reply-to*: drbob at bigfoot.com*Sender*: owner-wri-mathgroup at wolfram.com

Thanks, Daniel. I'll keep SequenceLimit in mind for cases when it might be useful. And I'll add a liberal dose of salt to whatever it returns to me. Bobby On Thu, 02 Jun 2005 08:40:00 -0500, Daniel Lichtblau <danl at wolfram.com> wrote: > DrBob wrote: >>> Not COMPLETELY undocumented. >> >> >> Ah. F1 doesn't work, and neither does the recently advertised Google trick for searching the current documentation online. Unrestricted Google DOES work, on the other hand, but I didn't try that until now. Sigh... >> >> >>>> Just as well, I guess, since it can't possibly work. >>> >>> Why not? >> >> >> Because a finite sequence has an uncountable number of extensions, most of which don't converge, others of which converge to anything one cares to arbitrarily choose. SequenceLimit simply gives an answer to the question, "What is the result of Wynn's epsilon algorithm for this list of numbers?" Since I've never heard of the algorithm until now, it's not likely I would ask that question. >> >> SAT questions that ask, "What's the next term in this sequence?" are written by mathematical morons who (apparently) don't realize all the choices are equally valid. >> >> Bobby >> [...] > > > This is more a matter of pattern recognition (a form of inductive > reasoning, I guess) than anything else. > > The Wynn epsilon approach has the virtue of often giving what one wants. > Often it fails to do this, but perfection in this fuzzy arena (which > approaches mind reading, as you note) is implausible. > > > Daniel > > > -- DrBob at bigfoot.com

**References**:**Re: Re: Limit of list***From:*DrBob <drbob@bigfoot.com>