Definition:Dominate (Analysis)

Definition
Let $\left \langle {a_n} \right \rangle$ be a sequence in $\R$.

Let $\left \langle {z_n} \right \rangle$ be a sequence in $\C$.

Then $\left \langle {a_n} \right \rangle$ dominates $\left \langle {z_n} \right \rangle$ iff:
 * $\forall n \in \N: \left|{z_n}\right| \le a_n$