Multigrade operator

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In logic and mathematics, a multigrade operator <math>\Omega</math> is a parametric operator with parameter k in the set N of non-negative integers.

The application of a multigrade operator <math>\Omega</math> to a finite sequence of operands (x1, …, xk) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus <math>\Omega</math>(x1, …, xk) may be taken for <math>\Omega</math>k(x1, …, xk).

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