[ kuh-myoo-tuh-tiv, kom-yuh-tey-tiv ]
/ kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv /
of or relating to commutation, exchange, substitution, or interchange.
- (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.
Words nearby commutative
Origin of commutative
OTHER WORDS FROM commutative
com·mu·ta·tive·ly, adverbcom·mu·ta·tiv·i·ty, nounnon·com·mu·ta·tive, adjectiveun·com·mu·ta·tive, adjective
un·com·mu·ta·tive·ly, adverbun·com·mu·ta·tive·ness, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for noncommutative
/ (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) /
relating to or involving substitution
- (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 propertythe commutative law of addition
Derived forms of commutativecommutatively, 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
[ kə-myōō′tə-tĭv, kŏm′yə-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 - b ≠ a - b unless both a and b are zero. See also associative distributive.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.