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Parametric operator

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

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