The describes what is usually called a finitary operation, referring to the finite number of arguments (the value k). Often, use of the term operation implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain), although this is by no means universal, as in the example of multiplying a vector by a scalar.

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Thus, since k can be 1, in the most general sense given here, operation is synonymous with function, map and mapping, that is, a relation, for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).


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