Equidistributed sequence
（重定向自Equidistribution）
![Illustration of the filling of the unit interval (x-axis) using the first n terms of the Van der Corput sequence, for n from 0 to 999 (y-axis). Gradation in colour is due to aliasing.](/Images/godic/202501/11/Van_der_Corput_sequence_999.svg5227.png")
In mathematics, a sequence {s1, s2, s3, ...} of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that interval. Such sequences are studied in Diophantine approximation theory and have applications to Monte Carlo integration.