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# Topic: Lemma of Gauss

###### In the News (Sun 19 May 13)

 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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