Multigrade operator
Encyclopedia
In logic
and mathematics
, 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, …, xk) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus 
(x1, …, xk) may be taken for 
k(x1, …, xk).
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 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, …, xk) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus (x1, …, xk) may be taken for k(x1, …, xk).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