commutative

Meanings

• adjective

  Relating to commutativity, the property of an operation where swapping the order of the operands does not change the result.

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Antonyms

anticommutative

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Synonyms

Abelian , abelian

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Variants

List of all variants of commutative that leads to same result
commutative

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin word 'commutare', meaning 'to change, alter, or exchange'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The commutative property is a fundamental concept in various branches of mathematics.

2. The commutative property simplifies calculations in algebraic structures, making them more efficient to work with.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Associative property: Another important property in mathematics, where the order of performing two or more operations does not affect the result.

2. Commutative ring: A ring in which the addition and multiplication are commutative.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics, commutative properties are essential in algebraic structures like groups, rings, and fields. They simplify calculations and make algebraic structures easier to work with.

How to Memorize "commutative"

1. visualize
   

   - Imagine two people exchanging positions or roles without affecting the outcome of an operation.

2. associate
   

   - Associate the word 'commutative' with the idea of swapping or changing without affecting the result.

3. mnemonics
   

   - Use the mnemonic 'Cats Come Over My Mat' to remember that commutative properties involve swapping elements (Cats) without affecting the result (over My Mat).

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