Episode 1633
Beatty sequence
Sat, 2021-Oct-23 00:41 UTC
Length - 1:37
Direct Link
Welcome to random Wiki of the Day where we read the summary of a random Wikipedia page every day.
The random article for Saturday, 23 October 2021 is Beatty sequence.
In mathematics, a Beatty sequence (or homogeneous Beatty sequence) is the sequence of integers found by taking the floor of the positive multiples of a positive irrational number. Beatty sequences are named after Samuel Beatty, who wrote about them in 1926.
Rayleigh's theorem, named after Lord Rayleigh, states that the complement of a Beatty sequence, consisting of the positive integers that are not in the sequence, is itself a Beatty sequence generated by a different irrational number.
Beatty sequences can also be used to generate Sturmian words.
This recording reflects the Wikipedia text as of 00:41 UTC on Saturday, 23 October 2021.
For the full current version of the article, see Beatty sequence on Wikipedia.
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