Definition:Bounded Sequence/Complex

Definition
Let $\sequence {z_n}$ be a complex sequence.

Then $\sequence {z_n}$ is bounded :
 * $\exists m, M \in \R$ such that $\forall i \in \N: \cmod {z_i} \le M$

where $\cmod {z_i}$ denotes the complex modulus of $z_i$.