Commutative Property

Commutative Property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. The commutativity of simple operations, such as multiplication and addition of numbers, was for many years implicitly assumed and the property was not named until the 19th century when mathematics started to become formalized. By contrast, division and subtraction are not commutative.

Read more about Commutative Property:  Common Uses, Propositional Logic, Set Theory, Mathematical Definitions, History and Etymology, Mathematical Structures and Commutativity, Non-commuting Operators in Quantum Mechanics

Famous quotes containing the word property:

    Strange and predatory and truly dangerous, car thieves and muggers—they seem to jeopardize all our cherished concepts, even our self-esteem, our property rights, our powers of love, our laws and pleasures. The only relationship we seem to have with them is scorn or bewilderment, but they belong somewhere on the dark prairies of a country that is in the throes of self-discovery.
    John Cheever (1912–1982)