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dc.creatorPellegrino, Daniel M.
dc.date2017-05-08
dc.date.accessioned2019-11-14T11:59:56Z
dc.date.available2019-11-14T11:59:56Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/1547
dc.identifier10.4067/S0716-09172006000100002
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113261
dc.descriptionA real number α is said to be normal to base 10 if, for every natural number L, each finite sequence of L digits appears in the decimals of α with frequency 1/10L. Even intuitive results concerning normal numbers presents complicated formalizations and to decide whether a given number is normal or not is sometimes almost impossible. In this paper we prove that if η = 0,a1a2a3a4... is a normal number, then η̅ = 0, a1a1a2a1a2a3a1a2a3a4... is also normal. On the other hand, if η fails to be normal, there are some technical difficulties in order to decide whether η̅  is normal or not, and we also discuss the normality (or not) of η̅ when η fails to be normal.es-ES
dc.languageen
dc.publisherUniversidad Católica del Norte.es-ES
dc.rightsDerechos de autor 2006 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 25 No 1 (2006); 19-30en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 25 Núm. 1 (2006); 19-30es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectNormalityes-ES
dc.subjectreal numberses-ES
dc.subjectnormalidades-ES
dc.subjectnúmeros reales.es-ES
dc.titleOn normal numberses-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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