• Journals
  • Discipline
  • Indexed
  • Institutions
  • About
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  •   Home
  • Universidad Católica del Norte
  • Proyecciones: Journal of Mathematics
  • View Item
  •   Home
  • Universidad Católica del Norte
  • Proyecciones: Journal of Mathematics
  • View Item

On normal numbers

Author
Pellegrino, Daniel M.

Full text
http://www.revistaproyecciones.cl/article/view/1547
10.4067/S0716-09172006000100002
Abstract
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.
Metadata
Show full item record
Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister
Dirección de Servicios de Información y Bibliotecas (SISIB) - Universidad de Chile
© 2019 Dspace - Modificado por SISIB