Assertion: sequence | /r/HasProperty | equidistributed
Facets:
value: for almost all values of α
type: OTHER
Source sentences:
text: For example, if a sequence is equidistributed in , since the interval [0.5, 0.9] occupies 1/5 of the length of the interval , as n becomes large, the proportion of the first n members of the sequence which fall between 0.5 and 0.9 must approach 1/5.
text: A sequence is thus equidistributed if the discrepancy D N tends to zero as N tends to infinity.
text: If the sequence is equidistributed modulo 1, then we can apply the Riemann integral criterion (described above) on the function f ( x )
text: For any sequence of distinct integers b n , the sequence { b n α } is equidistributed mod 1 for almost all values of α .
text: The sequence {αn} is equidistributed mod 1 for almost all values of α > 1.