Lesson plan
Weyl sequence
In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational α, ::0, α, 2α, 3α, 4α, ... :is equidistributed modulo 1. In other words, the sequence of the fractional parts of each term will be uniformly distributed in the interval [0, 1).
Article summary
In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational α, ::0, α, 2α, 3α, 4α, ... :is equidistributed modulo 1. In other words, the sequence of the fractional parts of each term will be uniformly distributed in the interval [0, 1).
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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