Let 
be a set. An operation on 
is a function from a power of 
into 
.
More precisely, given an ordinal number 
, a function from 
into 
is an 
-ary
operation on 
.
If 
is a finite ordinal, then the
-ary operation 
is a finitary operation on 
.
Operation
See also
Operator, PrecedenceThis entry contributed by Matt Insall (author's link)
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Insall, Matt. "Operation." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Operation.html