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Some Relations Between Various Types of Normality of Numbers

Published online by Cambridge University Press:  20 November 2018

H. A. Hanson
H. A. Hanson*
Affiliation:
Michigan State College
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In this paper certain relations will be proved between ∊-normality of integers, (k, ∊)-normality of integers, and normality of real numbers. Also a new type of normality of numbers will be introduced, namely, quasi-normality, as defined below.

A simply normal number is a real number, expressed in some scale B, in which each digit of the scale B occurs with the asymptotic frequency 1/B.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 477 - 485
Copyright
Copyright © Canadian Mathematical Society 1954

References

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