(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm working on some proofs involving equivalent definitions of an equidistributed sequence. I need some resources to learn about equidistribution. Any links or book titles would be greatly appreciated.

2. Relevant equations

For an equidistributed sequence,

[tex] \lim_{n\to \infty } \frac{f(x_1)+f(x_2)+...+f(x_n)}{n}=\int^1_0 f(x) \, \mathrm{d} x [/tex]

Also, the probability of choosing an [itex] x_i [/itex] from any subinterval of a sequence equidistributed over [0,1] is equal to the length of the subinterval.

3. The attempt at a solution

I've looked up equidistribution on google but I'm not finding enough explanation or detail. I also checked the forum for the term equidistribution and reviewed the results.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Need information on equidistribution

**Physics Forums | Science Articles, Homework Help, Discussion**