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Proximity Inversion Functions on the Non-Negative Integers

Brendan Lucier
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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.

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Brendan Lucier. 2004-10-25. Proximity Inversion Functions on the Non-Negative Integers. https://arxiv.org/abs/cs/0409023

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