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Note on Normal Decimals

Published online by Cambridge University Press:  20 November 2018

H. Davenport
Affiliation:
University College, London
P. Erdös
Affiliation:
The University, Aberdeen
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A real number, expressed as a decimal, is said to be normal (in the scale of 10) if every combination of digits occurs in the decimal with the proper frequency. If a1a2ak is any combination of k digits, and N(t) is the number of times this combination occurs among the first t digits, the condition is that

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1952

References

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