# commutative

(redirected from commutatively)
Also found in: Thesaurus, Encyclopedia.

## com·mu·ta·tive

(kŏm′yə-tā′tĭv, kə-myo͞o′tə-tĭv)
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.

## commutative

(kəˈmjuːtətɪv; ˈkɒmjʊˌteɪtɪv)
1. relating to or involving substitution
2. (Mathematics) maths logic
a. (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
b. relating to this property: the commutative law of addition.
3. (Logic) maths logic
a. (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
b. relating to this property: the commutative law of addition.

## com•mu•ta•tive

(kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv)

1. of or pertaining to commutation, exchange, substitution, or interchange.
2.
a. (of a binary operation) having the property that one term operating on a second is equal to the second operating on the first, as axb=bx a.
b. having reference to this property: the commutative law for multiplication.
[1525–35; < Medieval Latin]
com•mu`ta•tiv′i•ty, n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Adj. 1 commutative - (of a binary operation) independent of order; as in e.g. "a x b = b x a"math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementindependent - free from external control and constraint; "an independent mind"; "a series of independent judgments"; "fiercely independent individualism"
Translations