commutative

[ kuh-myoo-tuh-tiv, kom-yuh-tey-tiv ]

/ kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv /

SEE SYNONYMS FOR commutative ON THESAURUS.COM

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.

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

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

communize, commutable, commutate, commutation, commutation ticket, commutative, commutative group, commutative law, commutator, commutator group, commute

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for commutative

Negative Numbers may be regarded as resulting from the commutative law for addition and subtraction.
Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5|Various
This is included in the preceding, but it is simpler in that the various operations are commutative.
Encyclopaedia Britannica, 11th Edition, Volume 17, Slice 8|Various
Often the meaning of a sentence tacitly implies that the commutative law does not hold.
The philosophy of B*rtr*nd R*ss*ll|Various
“Simple” practice involves an application of the commutative law.
Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5|Various

British Dictionary definitions for commutative

commutative

/ (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) /

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 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 commutative

commutative

[ 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.

单词	commutative
释义	commutative [ kuh-myoo-tuh-tiv, kom-yuh-tey-tiv ] / kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv / SEE SYNONYMS FOR commutative ON THESAURUS.COM 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. 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 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 communize, commutable, commutate, commutation, commutation ticket, commutative, commutative group, commutative law, commutator, commutator group, commute Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 Example sentences from the Web for commutative Negative Numbers may be regarded as resulting from the commutative law for addition and subtraction. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5\|Various This is included in the preceding, but it is simpler in that the various operations are commutative. Encyclopaedia Britannica, 11th Edition, Volume 17, Slice 8\|Various Often the meaning of a sentence tacitly implies that the commutative law does not hold. The philosophy of Brtrnd Rssll\|Various “Simple” practice involves an application of the commutative law. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5\|Various British Dictionary definitions for commutative commutative / (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) / 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 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 Words related to commutative protean, unsettled, varying, capricious, unpredictable, fickle, unstable, volatile, mercurial, fluctuating, shifting, mutable, changeful, agitated, convertible, fitful, flighty, fluid, impulsive, inconstant Scientific definitions for commutative commutative [ 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.
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commutative

adjective

Origin of commutative

OTHER WORDS FROM commutative

Words nearby commutative

Example sentences from the Web for commutative

British Dictionary definitions for commutative

adjective

Derived forms of commutative

Words related to commutative

Scientific definitions for commutative