\begin{definition}[Definition:Parametric Operator]
Let $A$ be an index set.
Let $\Omega$ be a indexed family of operators $\left({\Omega_{\alpha} }\right)_A = \left\{ {\Omega_\alpha: \alpha \in A}\right\}$ indexed by the index $\alpha$.
{{explain|Definition of "operator" in this context.}}
Then $\Omega$ is a '''parametric operator''' with '''parameter $\alpha$''' in the '''parameter set $A$'''.
Category:Definitions/Set Theory
\end{definition}