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Binary Operation -- from Wolfram MathWorld

TOPICS Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld 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 ().

See alsoBinary Operator Explore with Wolfram|Alpha

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Cite this as:

Weisstein, Eric W. "Binary Operation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BinaryOperation.html

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