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