# commutative

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## com·mu·ta·tive

(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.*

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## commutative

(kəˈmjuːtətɪv; ˈkɒmjʊˌteɪtɪv)*adj*

**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.

**comˈmutatively**

*adv*

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## com•mu•ta•tive

(kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv)*adj.*

**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

*a*x

*b*=

*b*x a.

**b.**having reference to this property: the commutative law for multiplication.

[1525–35; < Medieval Latin]

**com•mu`ta•tiv′i•ty,**

*n.*

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ThesaurusAntonymsRelated WordsSynonyms

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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 arrangement independent - free from external control and constraint; "an independent mind"; "a series of independent judgments"; "fiercely independent individualism" |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

Translations

## commutative

[kəˈmjuːtətɪv]*adj*→ commutativo/a

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

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