Proximity Inversion Functions on the Non-Negative Integers

Details Proximity Inversion Functions on the Non-Negative Integers Proximity Inversion Functions on the Non-Negative Integers

2004-09-13

arxiv.org/abs/cs/0409023v2

Computer Science

Discrete Mathematics

20 pages, Latex; v2: Introduction expanded, Proof of main theorem rewritten for clarity, formatting changed

Scientific paper

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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