Niven’s Theorem

Pole DC	Wartość	Język
dc.contributor.author	Korniłowicz, Artur	-
dc.contributor.author	Naumowicz, Adam	-
dc.date.accessioned	2017-06-02T11:55:31Z	-
dc.date.available	2017-06-02T11:55:31Z	-
dc.date.issued	2016	-
dc.identifier.citation	Formalized Mathematics, Volume 24, Issue 4, pp. 301-308	pl
dc.identifier.issn	1426-2630	pl
dc.identifier.issn	1898-9934	pl
dc.identifier.uri	http://hdl.handle.net/11320/5564	-
dc.description.abstract	This article formalizes the proof of Niven’s theorem [12] which states that if x/π and sin(x) are both rational, then the sine takes values 0, ±1/2, and ±1. The main part of the formalization follows the informal proof presented at Pr∞fWiki (https://proofwiki.org/wiki/Niven’s_Theorem#Source_of_Name). For this proof, we have also formalized the rational and integral root theorems setting constraints on solutions of polynomial equations with integer coefficients [8, 9].	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.subject	Niven’s theorem	-
dc.subject	rational root theorem	-
dc.subject	integral root theorem	-
dc.title	Niven’s Theorem	-
dc.type	Article	-
dc.identifier.doi	10.1515/forma-2016-0026	-
dc.description.Affiliation	Korniłowicz Artur - Institute of Informatics, University of Białystok, Poland	-
dc.description.Affiliation	Naumowicz Adam - Institute of Informatics, University of Białystok, Poland	-
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Występuje w kolekcji(ach):	Artykuły naukowe (WInf) Formalized Mathematics, 2016, Volume 24, Issue 4

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