Article View: sci.math.num-analysis
Article #1215Re: Polynomials
From: Proginoskes
Date: Wed, 04 Aug 2004 03:56
Date: Wed, 04 Aug 2004 03:56
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1995 bytes
Gregory Toomey <nospam@bigpond.com> wrote in message news:<2n8jqpFtbojkU1@uni-berlin.de>...
> Jon wrote:
>
> > Polynomial Roots to any Degree
> > Vector Calculus Method
>
> We has enough of this nonsense last month.
>
> http://mathworld.wolfram.com/QuinticEquation.html
> Unlike quadratic, cubic, and quartic polynomials, the general quintic cannot
> be solved algebraically in terms of a finite number of additions,
> subtractions, multiplications, divisions, and root extractions, as
> rigorously demonstrated by Abel (Abel's impossibility theorem) and Galois.
That argument doesn't work, since he's now thrown in the natural log
function ...
-- Christopher Heckman
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X-Google-Thread: 107079,1597f9db3cddef58 X-Google-Thread: 109d8a,1597f9db3cddef58 X-Google-Thread: f72df,1597f9db3cddef58 X-Google-Thread: 103471,1597f9db3cddef58 X-Google-Thread: 1139f8,1597f9db3cddef58 X-Google-Thread: 10d67e,1597f9db3cddef58 X-Google-Thread: 1130d6,1597f9db3cddef58 X-Google-Thread: f6df2,1597f9db3cddef58 X-Google-Attributes: gid107079,gid109d8a,gidf72df,gid103471,gid1139f8,gid10d67e,gid1130d6,gidf6df2,public X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews2.google.com!not-for-mail From: proginoskes@email.msn.com (Proginoskes) Newsgroups: sci.math.num-analysis,sci.math,japan.sci.math,han.sci.math,fr.sci.maths,aus.mathematics,alt.math.recreational,bln.sci.mathematik Subject: Re: Polynomials Date: 3 Aug 2004 20:56:04 -0700 Organization: http://groups.google.com Lines: 17 Message-ID: <953c225f.0408031956.6d6f3cff@posting.google.com> References: <J2EPc.23857$iK.8050@newsread2.news.atl.earthlink.net> <2n8jqpFtbojkU1@uni-berlin.de> NNTP-Posting-Host: 67.225.220.235 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-Trace: posting.google.com 1091591764 14607 127.0.0.1 (4 Aug 2004 03:56:04 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Wed, 4 Aug 2004 03:56:04 +0000 (UTC)