Multigrade operator

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In logic and mathematics, a multigrade operator $Ω$ is a parametric operator with parameter k in the set N of non-negative integers.

The application of a multigrade operator $Ω$ to a finite sequence of operands (x₁, …, x_k) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus $Ω$ (x₁, …, x_k) may be taken for $Ω$ _k(x₁, …, x_k).

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