Article View: sci.math.num-analysis
Article #1189Re: Polynomials
From: Gregory Toomey
Date: Thu, 05 Aug 2004 09:33
Date: Thu, 05 Aug 2004 09:33
28 lines
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2352 bytes
Proginoskes wrote: > 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 Its not an argument like you hear at the pub, its a proof thats been around since the 1800s. You can throw in logarithms as well but it makes no difference. gtoomey
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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!news2.google.com!fu-berlin.de!uni-berlin.de!not-for-mail From: Gregory Toomey <nospam@bigpond.com> 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 Followup-To: analysis,sci.math,japan.sci.math,han.sci.math,fr.sci.maths,aus.mathematics,alt.math.recreational,bln.sci.mathematik Date: Thu, 05 Aug 2004 19:33:08 +1000 Lines: 28 Message-ID: <2ned6lFvud2uU1@uni-berlin.de> References: <J2EPc.23857$iK.8050@newsread2.news.atl.earthlink.net> <2n8jqpFtbojkU1@uni-berlin.de> <953c225f.0408031956.6d6f3cff@posting.google.com> Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7Bit X-Trace: news.uni-berlin.de UPHOgWoKJlg7NxSeSHvxqA/Vtu6qE5SzVb943R/9v1lealsuTp User-Agent: KNode/0.7.7 X-Hello: Why are you looking at my headers - your Outlook Express cant do this