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  "body": "\n## Summary\n\nA sequence of real numbers is equidistributed modulo one when its fractional parts fill the interval $[0, 1)$ evenly in the long run.\nEach subinterval then receives a proportion of the terms equal to its length.\nThe notion connects Diophantine approximation, Fourier analysis and probability, and Weyl's criterion reduces it to estimates of [[exponential sums|97PBMQCPPM]].\n\n## Explanations\n\n### L1 human\n\nWrap the real line around a circle of length $1$, so that only the fractional part of a number matters.\nPlace the terms of a sequence on this circle one by one.\nThe sequence is equidistributed if, after many steps, every arc holds a share of the points equal to its length.\nFor example the multiples $n \\sqrt{2}$ are equidistributed modulo one, while the multiples $n/2$ only visit the two points $0$ and $1/2$.\n",
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