A Model for Pairs of Beatty Sequences
Number Theory
2011-03-29 v1
Abstract
Two Beatty sequences are recorded by athletes running in opposite directions in a round stadium. This approach suggests a nice interpretation for well known partitioning criteria: such sequences (eventually) partition the integers essentially when the athletes have the same starting point.
Cite
@article{arxiv.1103.5198,
title = {A Model for Pairs of Beatty Sequences},
author = {Y. Ginosar and I. Yona},
journal= {arXiv preprint arXiv:1103.5198},
year = {2011}
}