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commutative
[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv]
adjective
of or relating to commutation, exchange, substitution, or interchange.
Mathematics.
(of a binary operation) having the property that one term operating on a second is equal to the second operating on the first, as a × b = b × a.
having reference to this property.
commutative law for multiplication.
commutative
/ ˈkɒmjʊˌteɪtɪv, kəˈmjuːtətɪv /
adjective
relating to or involving substitution
maths logic
(of an operator) giving the same result irrespective of the order of the arguments; thus disjunction and addition are commutative but implication and subtraction are not
relating to this property
the commutative law of addition
commutative
Of or relating to binary operations for which changing the order of the inputs does not change the result of the operation. For example, addition is commutative, since a + b = b + a for any two numbers a and b, while subtraction is not commutative, since a − b ≠ a − b unless both a and b are zero.
See also associative distributive
Other 51Թ Forms
- commutatively adverb
- commutativity noun
- noncommutative adjective
- uncommutative adjective
- uncommutatively adverb
- uncommutativeness noun
- dzˈܳٲپ adverb
51Թ History and Origins
Origin of commutative1
Example Sentences
Noether’s theory of ideals and commutative rings forms a foundation for any researcher in the field of higher algebra.
And then there is commutative justice, the kind that governs the one-on-one relationships we have with each other.
He proposed that a geometric object called a scheme was associated to any commutative ring — that is, a set in which addition and multiplication are defined and multiplication is commutative, a × b = b × a.
As a quantum physicist he would have been acutely aware that at the deepest level, nature disobeys the commutative law.
"Math, I always thought was easy," he told the class, which had been listening to a lecture about the commutative property before the mayor's entourage descended on the classroom.
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Related 51Թs
- capricious
- fickle
- www.thesaurus.com
- mercurial
- protean
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- unpredictable
- unsettled
- unstable
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- volatile
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