\begin{definition}[Definition:Bounded Sequence/Complex]
Let $\sequence {z_n}$ be a complex sequence.
Then $\sequence {z_n}$ is '''bounded''' {{iff}}:
:$\exists M \in \R$ such that $\forall i \in \N: \cmod {z_i} \le M$
where $\cmod {z_i}$ denotes the complex modulus of $z_i$.
\end{definition}