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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
/ ə-̅̅′ə-ĭ,ŏ′ə-′tĭ /
- 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
Derived Forms
- dzˈܳٲپ, adverb
Other 51Թ Forms
- dz·t·پ· adverb
- dz·t·پi·ٲ noun
- ԴDz·dzm·ٲt adjective
- ܲcdz·t·پ adjective
- undz·t·پ· adverb
- ܲcdz·t·پ·ness noun
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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