Abstract
The notion of normal numbers was first introduced by Emile Borel [3] in 1909. He considered the decimal expansion of real numbers in the unit interval to the base r and assuming that every digit of their decimal expansions is independent and also takes all possible values 0,1, ・ ・・ and r-1 with equal probability, he proved that almost all real numbers are normal to the base r in the sense of Lebesgue measure. For a real number w, we denote {w} the fractional part of w defined by
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
