Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph