A Model for Pairs of Beatty Sequences

Details A Model for Pairs of Beatty Sequences A Model for Pairs of Beatty Sequences

2011-03-27

arxiv.org/abs/1103.5198v1

Mathematics

Number Theory

Scientific paper

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.

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