Definition:Dominate (Analysis)

Definition

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:

$\forall n \in \N: \cmod {z_n} \le a_n$