| 释义 |
commutativityenUK
com·mu·ta·tive C0520000 (kŏm′yə-tā′tĭv, kə-myo͞o′tə-tĭv)adj.1. Relating to, involving, or characterized by substitution, interchange, or exchange.2. Independent of order. Used of a logical or mathematical operation that combines objects or sets of objects two at a time. If a × b = b × a, the operation indicated by × is commutative.
com·mu′ta·tiv′i·ty (kə-myo͞o′tə-tĭv′ĭ-tē) n.commutativity (kəˌmjuːtəˈtɪvɪtɪ) nthe property of being commutativeTranslationsCommutativityenUK
Commutativity a property of the addition and multiplication of numbers expressed by the identities a + b = b + a and ab = ba. In a more general sense, the operation a * b is termed commutative if a * b = b *a. Addition and multiplication of polynomials, for example, have the property of commutativity; vector multiplication (see VECTOR PRODUCT) is not commutative since [a,b] = — [b,a]. ThesaurusSeecommutative |