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commutative

 
Dictionary: com·mu·ta·tive   (kŏm'yə-tā'tĭv, kə-myū'tə-tĭv) pronunciation

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.
commutativity com·mu'ta·tiv'i·ty (kə-myū'tə-tĭv'ĭ-tē) n.

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Philosophy Dictionary: commutative
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An operation or function is commutative if its value is not affected when its arguments are exchanged. Addition is commutative, since x + y = y + x. Division is not commutative, since x/yy/x.

WordNet: commutative
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Note: click on a word meaning below to see its connections and related words.

The adjective has one meaning:

Meaning #1: (mathematics) of a binary operation; independent of order; as in e.g. "a x b = b x a"


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Learn More
commutative algebra (mathematics)
multiplicative subset (mathematics)
Abelian group (mathematics)

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Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved.  Read more
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