Binary Operation
A binary operation 
is an operation that applies to
two quantities or expressions 
and 
.
A binary operation on a nonempty set 
is a map 
such that
1. 
is defined for every pair of elements
in 
, and
2. 
uniquely associates each pair of elements
in 
to some element of 
.
Examples of binary operation on 
from 
to 
include addition (
), subtraction (
), multiplication 
) and division
(
).
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