# Parametric operator

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In logic and mathematics, a parametric operator $\Omega\!$ with parameter $\alpha\!$ in the parametric set $\Alpha\!$ is a indexed family of operators $(\Omega_{\alpha})_{\Alpha} = \{\Omega_{\alpha} : \alpha \in \Alpha\}$ with index $\alpha\!$ in the index set $\Alpha\!$.

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