commutative
adjective Date: 1612 1. of, relating to, or showing commutation 2. of, relating to, having, or being the property that a given mathematical operation and set have when the result obtained using any two elements of the set with the operation does not differ with the order in which the elements are used <
a commutative group
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<
addition of the positive integers is commutative
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New Collegiate Dictionary. 2001.

Look at other dictionaries:

  • Commutative — Com*mut a*tive, a. [CF. F. commutatif.] 1. Relative to exchange; interchangeable; reciprocal. {Com*mut a*tive ly}, adv. [1913 Webster] Rich traders, from their success, are presumed . . . to have cultivated an habitual regard to commutative… …   The Collaborative International Dictionary of English

  • commutative — Commutative. adj. f. v. Il n a d usage qu en cette phrase. Justice commutative, qui signifie La Justice qui regarde le commerce, & l eschange d une chose contre une autre, & qui fait qu on rend autant qu on reçoit …   Dictionnaire de l'Académie française

  • commutative — index convertible, mutual (reciprocal) Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

  • commutative — 1530s, from M.L. commutativus, from L. commutat , pp. stem of commutare (see COMMUTE (Cf. commute)) …   Etymology dictionary

  • commutative — ► ADJECTIVE Mathematics ▪ unchanged in result by interchanging the order of quantities, such that for example a x b = b x a …   English terms dictionary

  • commutative — [kə myo͞ot′ə tiv, käm′yə tāt΄iv] adj. 1. of commutation; involving exchange or replacement 2. Math. of or pertaining to an operation in which the order of the elements does not affect the result, as, in addition, 3 + 2 = 2 + 3 and, in… …   English World dictionary

  • Commutative — Loi commutative Exemple montrant la commutativité de l addition (3 + 2 = 2 + 3) En mathématiques, particulièrement en algèbre générale, une loi de composition interne sur un ensemble S est commutative si …   Wikipédia en Français

  • commutative — adjective a) Such that the order in which the operands are taken does not affect their image under the operation. Addition on the real numbers is commutative because for any real numbers , . b) Having a commutative operation. Syn: abelian …   Wiktionary

  • commutative — ● commutatif, commutative adjectif Se dit d une opération mathématique portant sur deux ou plusieurs termes et dont le résultat ne change pas si l on change l ordre de ces termes. Relatif à une commutation d éléments linguistiques. ● commutatif,… …   Encyclopédie Universelle

  • commutative — commutatively, adv. commutativity, n. /keuh myooh teuh tiv, kom yeuh tay tiv/, adj. 1. of or pertaining to commutation, exchange, substitution, or interchange. 2. Math. a. (of a binary operation) having the property that one term operating on a… …   Universalium

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