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arXiv 2004-09-13 2 views

Proximity Inversion Functions on the Non-Negative Integers

Lucier, Brendan

Original · EN

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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