commutative

[ kuh-myoo-tuh-tiv, kom-yuh-tey-tiv ]
/ kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv /

adjective

of or relating to commutation, exchange, substitution, or interchange.
Mathematics.
  1. (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.
  2. having reference to this property: commutative law for multiplication.

Origin of commutative

1525–35; < Medieval Latin commūtātīvus, equivalent to Latin commūtāt(us) (past participle of commūtāre; see commute, -ate1) + -īvus -ive

OTHER WORDS FROM commutative

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

British Dictionary definitions for noncommutative

commutative
/ (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) /

adjective

relating to or involving substitution
maths logic
  1. (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
  2. relating to this propertythe commutative law of addition

Derived forms of commutative

commutatively, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for noncommutative

commutative
[ kə-myōōtə-tĭv, kŏmyə-tā′tĭv ]

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 - ba - b unless both a and b are zero. See also associative distributive.
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