Parametric operator
Encyclopedia
In logic
and mathematics
, a parametric operator
with parameter 
in the parametric set 
is an indexed family of operators 
with index 
in the index set 
.
Logic
In philosophy, Logic is the formal systematic study of the principles of valid inference and correct reasoning. Logic is used in most intellectual activities, but is studied primarily in the disciplines of philosophy, mathematics, semantics, and computer science...
and mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, a parametric operator
with parameter in the parametric set is an indexed family of operators with index in the index set .See also
- OperationOperation (mathematics)The general operation as explained on this page should not be confused with the more specific operators on vector spaces. For a notion in elementary mathematics, see arithmetic operation....
- Operator
- Multigrade operatorMultigrade operatorIn logic and mathematics, a multigrade operator \Omega is a parametric operator with parameter k in the set N of non-negative integers....