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Parametric Operator
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editIn logic and mathematics, a parametric operator
Ω
with parameter &al(ha;
in the parametric set &Al(ha;
is a indexed_family of operators (Ω&al(ha;)&Al(ha; = Ω&al(ha; : &al(ha; ∈ &Al(ha;
with index &al(ha;
in the index set &Al(ha;
.
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, …, xk) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus Ω
(x1, …, xk) may be taken for Ω
k(x1, …, xk).
See Also
Some content adapted from the Pseudopedia article “Parametric operator” under the GNU Free Documentation License.