PlanetMath: parametric operator

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parametric operator

(Definition)

A parametric operator $\Omega$ with parameter $\alpha$ in the 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 $\mathcal{A}$ .

"parametric operator" is owned by Jon Awbrey.

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See Also: multigrade operator

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Cross-references: index set, index, operators, parameter
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This is version 3 of parametric operator, born on 2008-02-12, modified 2008-02-12.
Object id is 10263, canonical name is ParametricOperator.
Accessed 279 times total.

Classification:

AMS MSC:	03C05 (Mathematical logic and foundations :: Model theory :: Equational classes, universal algebra)
	03E20 (Mathematical logic and foundations :: Set theory :: Other classical set theory )

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