dominated,
adj. 1. (of a subset in a partial order) possessing an upper bound that is then said to dominate the subset.
2a. (of a sequence of positive terms) such that each element is less than the corresponding member of a given second sequence; that is, {ai} is dominated by {ci} if for every i, ai ≤ ci.
b. more generally, such that the sequence of absolute values of the terms of a given sequence of real numbers, or moduli of the terms of a given sequence of complex numbers, is dominated in the preceding sense by a given second sequence.
2a. (of a sequence of positive terms) such that each element is less than the corresponding member of a given second sequence; that is, {ai} is dominated by {ci} if for every i, ai ≤ ci.
b. more generally, such that the sequence of absolute values of the terms of a given sequence of real numbers, or moduli of the terms of a given sequence of complex numbers, is dominated in the preceding sense by a given second sequence.