Multigrade operator

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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).\!


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