parametric operatorParametricOperator2008-02-12 22:27:222008-02-12 22:37:31Definition% this is the default PlanetMath preamble. as your knowledge
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A \textbf{parametric operator} $\Omega$ with \textbf{parameter} $\alpha$ in the \textbf{parametric set} $\mathcal{A}$ is an indexed family of operators $(\Omega_{\alpha})_{\mathcal{A}} = \{ \Omega_{\alpha} : \alpha \in \mathcal{A} \}$ with index $\alpha$ in the index set $\mathcal{A}$.