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In logic and mathematics, a parametric operator with parameter in the parametric set is a indexed family of operators with index in the index set .

A multigrade operator is a parametric operator with parameter k in the set N of non-negative integers.

The application of a multigrade operator 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 (x₁, …, x_k) may be taken for _k(x₁, …, x_k).

See Also

• Operation
• Operator

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Some content adapted from the Pseudopedia article "Parametric operator" under the GNU Free Documentation License.