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.
See Also: anticommutative, commutator, commute, commutative justice, commutative ring

Wikipedia foundation.

Игры ⚽ Поможем написать реферат

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 — ● 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 — 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… …   New Collegiate Dictionary

  • 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

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”