PlanetMath: multigrade operator

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multigrade operator

(Definition)

A multigrade operator $\Omega$ is a parametric operator with parameter in the set $\mathbb{N}$ of non-negative integers.

The application of a multigrade operator $\Omega$ to a finite sequence of operands $(x_1, \ldots, x_k)$ is typically denoted with the parameter left tacit, as the appropriate application is implicit in the number of operands listed. Thus $\Omega(x_1, \ldots, x_k)$ may be taken for $\Omega_k(x_1, \ldots, x_k).$

"multigrade operator" is owned by Jon Awbrey.

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See Also: parametric operator

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Cross-references: number, finite sequence, application, integers, parameter, parametric operator
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This is version 1 of multigrade operator, born on 2008-02-13.
Object id is 10265, canonical name is MultigradeOperator.
Accessed 207 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 )
	08A40 (General algebraic systems :: Algebraic structures :: Operations, polynomials, primal algebras)
	08A70 (General algebraic systems :: Algebraic structures :: Applications of universal algebra in computer science)

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