noncommutative









noncommutative


adjective

  1. of or relating to commutation, exchange, substitution, or interchange.
  2. Mathematics.
    1. (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 × b = b × a.
    2. having reference to this property: commutative law for multiplication.

adjective

  1. relating to or involving substitution
  2. maths logic
    1. (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
    2. relating to this propertythe commutative law of addition

adj.1530s, from Medieval Latin commutativus, from Latin commutat-, past participle stem of commutare (see commute (v.)).

  1. Of or relating to binary operations for which changing the order of the inputs does not change the result of the operation. For example, addition is commutative, since a + b = b + a for any two numbers a and b, while subtraction is not commutative, since abab unless both a and b are zero. See also associative distributive.
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