Talk:Fundamental Theorem of Algebra: Difference between revisions

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imported>J. Noel Chiappa
(→‎W.l.o.g.: Another thing to say explicitly)
imported>Paul Wormer
Line 10: Line 10:


: Also "counting multiplicity" - I'm guessing that it means that Tp=Tq (e.g. in (x + 2)(x + 2)), but you ought to say that explicitly. Other than that, great intro - crystal clear. [[User:J. Noel Chiappa|J. Noel Chiappa]] 09:59, 14 March 2008 (CDT)
: Also "counting multiplicity" - I'm guessing that it means that Tp=Tq (e.g. in (x + 2)(x + 2)), but you ought to say that explicitly. Other than that, great intro - crystal clear. [[User:J. Noel Chiappa|J. Noel Chiappa]] 09:59, 14 March 2008 (CDT)
:: I think W.l.o.g. means "without loss of generality" and I don't see any connection with multiplicity of roots. You and I differing on intepretation, I wouldn't call the article crystal clear.--[[User:Paul Wormer|Paul Wormer]] 10:42, 14 March 2008 (CDT)

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 Definition Any nonconstant polynomial whose coefficients are complex numbers has at least one complex number as a root. [d] [e]
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just started the article

This is some material that used to be in the complex number article, but I felt an entire article on the fundamental theorem of algebra would be the better place for it. However all I did was cut and paste from there to here, so this article doesn't have a good structure yet. Feel free to attack it! - Greg Martin 18:54, 29 April 2007 (CDT); clarified by Jitse Niesen 02:35, 9 May 2007 (CDT)

W.l.o.g.

What does this mean?--Paul Wormer 21:12, 13 March 2008 (CDT)

Also "counting multiplicity" - I'm guessing that it means that Tp=Tq (e.g. in (x + 2)(x + 2)), but you ought to say that explicitly. Other than that, great intro - crystal clear. J. Noel Chiappa 09:59, 14 March 2008 (CDT)
I think W.l.o.g. means "without loss of generality" and I don't see any connection with multiplicity of roots. You and I differing on intepretation, I wouldn't call the article crystal clear.--Paul Wormer 10:42, 14 March 2008 (CDT)