Proximity Inversion Functions on the Non-Negative Integers
Discrete Mathematics
2007-05-23 v2
Abstract
We 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.
Keywords
Cite
@article{arxiv.cs/0409023,
title = {Proximity Inversion Functions on the Non-Negative Integers},
author = {Brendan Lucier},
journal= {arXiv preprint arXiv:cs/0409023},
year = {2007}
}
Comments
20 pages, Latex; v2: Introduction expanded, Proof of main theorem rewritten for clarity, formatting changed