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March 2013 A maximally separated sequence
John Bentin
Funct. Approx. Comment. Math. 48(1): 117-122 (March 2013). DOI: 10.7169/facm/2013.48.1.9

Abstract

The paper builds on earlier published work by the author in which a measure for the slowness of clustering of a bounded real sequence, called \emph{separation}, was introduced. Here a conjecture of the earlier paper is proved: that a particular sequence of rational numbers -- the $\mathrm{f}$ sequence -- defined in that paper is of maximal separation.

Citation

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John Bentin. "A maximally separated sequence." Funct. Approx. Comment. Math. 48 (1) 117 - 122, March 2013. https://doi.org/10.7169/facm/2013.48.1.9

Information

Published: March 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1322.11013
MathSciNet: MR3086964
Digital Object Identifier: 10.7169/facm/2013.48.1.9

Subjects:
Primary: 11B05
Secondary: 11B39 , 11B83

Keywords: bounded real sequence , optimization , separation

Rights: Copyright © 2013 Adam Mickiewicz University

Vol.48 • No. 1 • March 2013
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