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Newsgroups: sci.math
From: "Ioannis" <morph...@olympus.mons>
Date: Wed, 11 Apr 2007 18:07:52 +0300
Local: Wed, Apr 11 2007 11:07 am
Subject: Re: roots of x^12 = 2^x
news:871wirca90.fsf@nonospaz.fatphil.org...
[snip] > > Moral of the story: When an equation is solvable exactly by W, *always* Nah. I was just too bored to perform a full analysis of the equation. check > > the -1 branch as well :-) > Not at all. The moral of the story is to not wave great hefty tools > I am aghast that you seemed to think that x^12 would dominate 2^x It wasn't my fault. Honest :-) That was Maple V release 4's fault. To make > as x increased. sure that I got the right behavior at +oo, I tried a quick: > plot(x^12-2^x,x=-infinity..infinity); Unfortunately, version V of Maple misbehaves on this graph, producing slightly different variants each time. The time I checked, it produced a spike at +oo for x->oo (erroneous), so I didn't check further. By breaking the domain of the graph into smaller regions one can get the correct behavior, but I stupidly relied on just that one glance I got from the -infinity..infinity range, which was incorrect. Shows the dangers of relying too much on CAS for analyses. Maybe we should ban > Phil -- > -- I.N. Galidakis --- http://ioannis.virtualcomposer2000.com/ You must Sign in before you can post messages.
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