PlanetPhysics/Multigrade Operator

A multigrade operator $\mathrm{\Omega }$ is a [[../ParametricOperator/|parametric operator]] with [[../Parameter/|parameter]] $k$ in the set $\mathbb{N}$ of non-negative integers.

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