dc.creator | Pellegrino, Daniel M. | |
dc.date | 2017-05-08 | |
dc.identifier | http://www.revistaproyecciones.cl/article/view/1547 | |
dc.identifier | 10.4067/S0716-09172006000100002 | |
dc.description | A 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.language | en | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.rights | Derechos de autor 2006 Proyecciones. Journal of Mathematics | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 25 No 1 (2006); 19-30 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 25 Núm. 1 (2006); 19-30 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.title | On normal numbers | es-ES |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |