Proximity Inversion Functions on the Non-Negative Integers

dc.creatorLucier, Brendan
dc.date2004-09-13
dc.date2004-10-25
dc.date.accessioned2026-07-07T03:21:46Z
dc.date.available2026-07-07T03:21:46Z
dc.descriptionWe consider functions mapping non-negative integers to non-negative real numbers such that a and a+n are mapped to values at least 1/n apart. In this paper we use a novel method to construct such a function. We conjecture that the supremum of the generated function is optimal and pose some unsolved problems.
dc.description20 pages, Latex; v2: Introduction expanded, Proof of main theorem rewritten for clarity, formatting changed
dc.identifierhttps://arxiv.org/abs/cs/0409023
dc.identifierhttp://arxiv.org/abs/cs/0409023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32333
dc.subjectDiscrete Mathematics
dc.subjectG.2
dc.titleProximity Inversion Functions on the Non-Negative Integers
dc.typetext

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