[ 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.
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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
Words nearby commutative
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020
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.