< Parametric Operator(mathematics, wiki, imported, Proteus)
In
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.
(last updated by Proteus, 7:26pm EDT - Sat, Apr 07 2007)
