Proximity Inversion Functions on the Non-Negative Integers
<|reference_start|>Proximity Inversion Functions on the Non-Negative Integers: 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.<|reference_end|>
@article{lucier2004proximity,
    title={Proximity Inversion Functions on the Non-Negative Integers},
    author={Brendan Lucier},
    journal={arXiv preprint arXiv:cs/0409023},
    year={2004},
    archivePrefix={arXiv},
    eprint={cs/0409023},
    primaryClass={cs.DM}
}