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commutative 中文解釋 wordnet sense Collocation Usage Collins Definition
Adjective
/ˈkämyəˌtātiv/,/kəˈmyo͞otətiv/,
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Involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b × a,
  1. Involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b × a

  2. Relating to or involving substitution or exchange

  1. (of a binary operation) independent of order; as in e.g. "a x b = b x a"
  2. In mathematics an operation is commutative if changing the order of the operation does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. ...
  3. In neurophysiology, commutation is the process of how the brain's neural circuits exhibit non-commutativity. Physiologist Douglas B. ...
  4. Such that the order in which the operands are taken does not affect their image under the operation; Having a commutative operation; Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism
  5. (commutativeness) The state or quality of being commutative
  6. A commutative relation in a semantic network is one which is symmetric. That is, for any relation R, if xRy is true, then yRx is also true. For example, if Frank is married to Hilda, then Hilda is also married to Frank.
  7. Any operation * which has the property a*b=b*a for all numbers a and b of a given set, is called commutative.
  8. For two random variables A and B, commutative means that A times B = B times A.
  9. Multiplication is commutative because a × b = b × a, but division is not commutative because a ÷ b = b ÷ a.
  10. a+b = b+a a+b=b+a and a⋅b = b⋅a a⋅b=b⋅a