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Topic: Lemma of Gauss

Related Topics

Carl Friedrich Gauss

Gauss Jordan elimination

Gauss Bonnet theorem

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Lemma of Gauss

Gauss Newton algorithm

Karl Friedrich Gauss

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Gauss sums

Topics named after Carl Friedrich Gauss

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	Theorem (Site not responding. Last check: 2007-10-31)
		lemma: a statement that forms part of the proof of a larger theorem.
		Of course, the distinction between theorems and lemmas is rather arbitrary, since one mathematician's major result is another's minor claim.
		Gauss' lemma and Zorn's lemma, for example, are interesting enough per se for some authors to stop at the nominal lemma without going on to use that result in any "major" theorem.
	www.encyclopedia-1.com /t/th/theorem.html (330 words)

	PlanetMath: Gauss' lemma
		Remarks: Using Gauss' Lemma, it is straightforward to prove that for any odd prime
		It is possible to prove Gauss' Lemma or Proposition 2 “from scratch”, without leaning on Euler's criterion, the existence of a primitive root, or the fact that a polynomial over
		This is version 10 of Gauss' lemma, born on 2002-02-14, modified 2004-06-12.
	planetmath.org /encyclopedia/GaussLemma.html (161 words)

	Encyclopedia :: encyclopedia : Theorem/ (Site not responding. Last check: 2007-10-31)
		In general, a mathematical statement must be non-trivial to be called a theorem.
		The distinction between theorems and lemmas is rather arbitrary, since one mathematician's major result is another's minor claim.
		Gauss' lemma and Zorn's lemma, for example, are interesting enough per se that some authors present the nominal lemma without going on to use it in the proof of any theorem.
	www.hallencyclopedia.com /Theorem/?D=A (434 words)

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