On irregularities of distribution of real sequences
- 1 July 1981
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 78 (7) , 4001
- https://doi.org/10.1073/pnas.78.7.4001
Abstract
A natural measure of the amount of unavoidable clustering that must occur in any bounded infinite sequence of real numbers is studied. We determine the extreme value for this measure and exhibit sequences that achieve this value.Keywords
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