\begin{definition}[Definition:Forward Shift Operator/Iterated]
Let $T = \sequence {z_t}$ be a discrete time series.
Let $F$ denote the '''forward shift operator''' on $\sequence {z_t}$:
:$\forall t: \map F {z_t} = z_{t + 1}$
$F$ can be '''iterated''' on $\sequence {z_t}$ as follows:
:$\map {F^m} {z_t} := z_{t + m}$
\end{definition}