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multigrade operator (Definition)

A multigrade operator $\Omega$ is a parametric operator with parameter $k$ 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 $k$ 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


Cross-references: parameter, parametric operator
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This is version 1 of multigrade operator, born on 2009-05-20.
Object id is 763, canonical name is MultigradeOperator.
Accessed 498 times total.

Classification:
Physics Classification: 02. (Mathematical methods in physics)
 02.10.Ab (Logic and set theory)
 02.10.Ox (Combinatorics; graph theory)
 02.10.Ud (Linear algebra)
 02.20.-a (Group theory )
 02.30.-f (Function theory, analysis)
 02.40.-k (Geometry, differential geometry, and topology )
 02.40.Yy (Geometric mechanics )
 02.50.Tt (Inference methods)
 02.70.-c (Computational techniques )
 02.70.Bf (Finite-difference methods)
 02.70.Wz (Symbolic computation )
Pending Errata and Addenda
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