(The spaces above are not significant and are present solely to make clear the boundaries between strings).
The complexity function of a disjunctive sequence S over an alphabet of size k is pS(n) = kn.
Most of this sequence consists of long runs of 0s, and so it is not normal, but it is still disjunctive.
The real number x is rich in base b if and only if the set { x bn mod 1} is dense in the unit interval.
[6] It is conjectured that every real irrational algebraic number is absolutely disjunctive.