for each ,
2, .... A consequence of this result is that the sequence is equidistributed,
and hence dense, in the interval for irrational, where , 2, ... and is the fractional part
of
(Finch 2003).
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is equidistributed iff
,
2, .... A consequence of this result is that the sequence 
is equidistributed,
and hence dense, in the interval ![[0,1]](/images/equations/WeylsCriterion/Inline4.svg)
for irrational 
, where 
, 2, ... and 
is the fractional part
of 
(Finch 2003).
