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The distribution of the sequence {nξ}(n = 0, 1, 2, …)

Published online by Cambridge University Press:  24 October 2008

John H. Halton
John H. Halton
Affiliation:
Brookhaven National Laboratory, Upton, New York
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Extract

Introduction and statement of results. We shall describe how, for successive integers N, the points {nξ}, with n = 0, 1, …,N – 1, are distributed in the closed unit interval U = [0, 1]; by showing how successive points {Nξ,} modify the partition of U produced by the previous points. The simple generalization to the k-dimensional sequence {nξ} = ({nξ(1)},{nξ(2)}, …,{nξ(k)}), in the unit hypercube Uk, is also made.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 3 , July 1965 , pp. 665 - 670
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

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