# Definition:Dominate (Analysis)

Let $\sequence {a_n}$ be a sequence in $\R$.
Let $\sequence {z_n}$ be a sequence in $\C$.
Then $\sequence {a_n}$ dominates $\sequence {z_n}$ if and only if:
$\forall n \in \N: \cmod {z_n} \le a_n$