Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Commutative |
CommutativeAdjective1. (mathematics) of a binary operation; independent of order; as in e.g. "a x b = b x a". Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "commutative" was first used in popular English literature: sometime before 1651. (references) |
Etymology: Commutative \Com*mut"a*tive\, adjective. [Compare to the French expression commutatif.]. (Websters 1913) |
| Domain | Definition |
Computing | The form of algebra in which the order of the terms is not important. For example, a+b = b+a is a commutative equation. Source: European Union. (references) |
Math | A function where f(A, B) = f(B, A). (references) |
Source: compiled by the editor from various references; see credits. | |
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
Interchange | Adjective: interchanged; Verb: reciprocal, mutual, commutative, interchangeable, intercurrent. |
| Source: adapted from Roget's Thesaurus. | |
Crosswords: Commutative |
| English words defined with "commutative": Abelian group ♦ commutative group ♦ field. (references) |
| Specialty definitions using "commutative": decomposable searching problem. (references) |
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Source: compiled by the editor from various references; see credits. | |||
| "Commutative" is generally used as an adjective (general or positive) -- approximately 100.00% of the time. "Commutative" is used about 11 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted) |
| Parts of Speech | Percent | Usage per 100 Million Words | Rank in English |
| Adjective (general or positive) | 100% | 11 | 106,044 |
Source: compiled by the editor from several corpora; see credits.
Expression using "commutative": commutative group. Additional references. | |
| Hypenated Usage | |
Ending with "commutative": non-commutative. | |
| Source: compiled by the editor from various references; see credits. | |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Expression | Frequency per Day |
commutative property | 14 |
commutative geometry non | 5 |
commutative extension frobenius non problem | 5 |
addition commutative property | 4 |
commutative | 3 |
commutative properties | 2 |
| Source: compiled by the editor from various references; see credits. | |
| Language | Translations for "commutative"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||||||||||||||||||||||||||
Danish | kommutativ algebra, kommutativ. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Dutch | commutatief. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Finnish | vaihdannainen, kommutatiivinen. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
French | commutatif. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
German | kommutativ. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Greek | Αντιμεταθετικός,Αντιμεταθετική άλγεβρα. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Hebrew | חלופי (alternative). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Italian | commutativo. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Japanese Kanji | 交換法則 (commutative law). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Japanese Katakana | "うか"ほうそく (commutative law). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Manx | maylartagh (barterer, exchange, exchanger, interchangeable, reciprocal, reciprocating). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Pig Latin | ommutativecay comutativo. (various references) comutabil (commutable). (various references) перестановочный (permutational). (various references) conmutativo. (various references) kommutativ algebra. (various references) degiştirilebilen, değiştirme ile ilgili. (various references) thay thế (substitutional, substitutionary), thay đổi, giao hoán. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||
Derivations | |
Words ending with "commutative": noncommutative. (additional references) | |
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"Commutative" is suggested in spellcheckers for the following: communative, commutatire, commutitive, comutative. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
| Words rhyming with "commutative" (pronounced 'Com*mut"a*tive'): Abdicative, Abditive, Abirritative, Abjunctive, Abnegative, Abrogative, Absorptive, Abstractive, Accelerative, Accompletive, Accretive, Accumulative, Acervative, Acquisitive, Active, Adaptative, Additive, Adductive, Adjudicative, Administrative, Admirative, Admonitive, Adscriptive, Adumbrative, Affective, Affinitative, Affinitive, Afflictive, Afformative, Agglomerative, Agglutinative, Aggravative, Aggregative, Agitative, Alleviative, Alliterative, Altercative, Amalgamative, Amative, Ambulative, Ameliorative, Ampliative, Amplificative, Animative, Annihilative, Annotative, Annunciative, Anticipative, Aperitive, Appetitive. (additional references) |
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "a-c-e-i-m-m-o-t-t-u-v" | |
-2 letters: commutate. | |
-3 letters: motivate, mutative. | |
-4 letters: cavetti, cavetto, commute, timeout, totemic, vicomte, vomicae. | |
-5 letters: acetum, active, aecium, atomic, avocet, cattie, comate, commie, commit, coteau, cottae, maumet, motive, mutate, octave, outact, outate, outeat, outvie, tammie, tectum, tomcat, vittae, vomica. | |
| Words containing the letters "a-c-e-i-m-m-o-t-t-u-v" | |
+3 letters: noncommutative. | |
+4 letters: commutativities. | |
+5 letters: immunoreactivity. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
| 1. Definition 2. Crosswords 3. Usage: Commercial 4. Usage Frequency | 5. Expressions 6. Expressions: Internet 7. Translations: Modern 8. Derivations | 9. Rhymes 10. Anagrams 11. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
