What does noncommutative mean?

Definitions for noncommutative
non·com·mu·ta·tive

This dictionary definitions page includes all the possible meanings, example usage and translations of the word noncommutative.

Wiktionary

  1. noncommutativeadjective

    Not having commutativity of all elements under its operation.

Wikipedia

  1. noncommutative

    In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name of the property that says something like "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more advanced settings. The name is needed because there are operations, such as division and subtraction, that do not have it (for example, "3 − 5 ≠ 5 − 3"); such operations are not commutative, and so are referred to as noncommutative operations. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed. Thus, this property was not named until the 19th century, when mathematics started to become formalized. A similar property exists for binary relations; a binary relation is said to be symmetric if the relation applies regardless of the order of its operands; for example, equality is symmetric as two equal mathematical objects are equal regardless of their order.

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Numerology

  1. Chaldean Numerology

    The numerical value of noncommutative in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of noncommutative in Pythagorean Numerology is: 5

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"noncommutative." Definitions.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.definitions.net/definition/noncommutative>.

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