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Transitive vs Commutative - What's the difference?

transitive | commutative |

As adjectives the difference between transitive and commutative

is that transitive is making a (l) or passage while commutative is (mathematics|of a binary operation) such that the order in which the operands are taken does not affect their image under the operation.

transitive

English

Adjective

(-)
  • Making a (l) or passage.
  • * (rfdate) , The Poet :
    • For all symbols are fluxional; all language is vehicular and transitive , and is good, as ferries and horses are, for conveyance, not as farms and houses are, for homestead.
  • Affected by (l) of signification.
  • *
    • By far the greater part of the transitive or derivative applications of words depend on casual and unaccountable caprices of the feelings or the fancy.
  • (grammar, of a verb) Taking an (l) or objects.
    • The English verb "to notice" is a transitive verb, because we say things like "She noticed a problem".
  • * (rfdate) , Orthodoxy :
    • Men have tried to turn "revolutionise" from a transitive to an intransitive verb.
  • (set theory, of a relation on a set) Having the property that if an element x'' is related to ''y'' and ''y'' is related to ''z'', then ''x'' is necessarily related to ''z .
    • "Is an ancestor of" is a transitive relation: if Alice is an ancestor of Bob, and Bob is an ancestor of Carol, then Alice is an ancestor of Carol.
  • Such that, for any two elements of the acted-upon set, some group element maps the first to the second.

    • Antonyms

    * (l) * (l), (l)

    Derived terms

    * (l) * (l) * (l) * (l) * (l) * (l)

    See also

    * (l) * (l)

    References

    * ----

    commutative

    English

    (commutative property)

    Adjective

    (-)
  • (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
    • ''Addition on the real numbers is commutative because for any real numbers s,t, it is true that s+t=t+s.
    Addition and multiplication are commutative operations but subtraction and division are not.
  • (algebra, of an algebraic structure) Having a commutative operation.
  • (mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

    • Synonyms

    * (of an algebraic structure) abelian, Abelian

    Related terms

    * anticommutative * commutator * commute * commutative justice * commutative ring ----