multigrade operator

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

The application of a multigrade operator $\mathrm{\Omega }$ to a ^{Planetmath Planetmath} of operands $(x_1,\mathrm{...},x_k)$ is typically denoted with the parameter $k$ left tacit, as the appropriate application is implicit in the number of operands listed. Thus $\mathrm{\Omega }(x_1,\mathrm{...},x_k)$ may be taken for ${\mathrm{\Omega }}_k(x_1,\mathrm{...},x_k).$

Title	multigrade operator
Canonical name	MultigradeOperator
Date of creation	2013年03月22日 17:48:11
Last modified on	2013年03月22日 17:48:11
Owner	Jon Awbrey (15246)
Last modified by	Jon Awbrey (15246)
Numerical id	4
Author	Jon Awbrey (15246)
Entry type	Definition
Classification	msc 03E20
Classification	msc 03C05
Classification	msc 08A40
Classification	msc 08A70
Related topic	ParametricOperator