transitively(redirected from Transitivity (mathematics))
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1. Abbr. trans. or tr. or t. Grammar Expressing an action carried from the subject to the object; requiring a direct object to complete meaning. Used of a verb or verb construction.
2. Characterized by or involving transition.
3. Logic & Mathematics Of or relating to a binary relation such that, whenever one element is related to a second element and the second element is related to a third element, then the first element is also related to the third element. Examples of transitive relations are "less than" for real numbers (a < b and b < c implies a < c) and divisibility for integers (a divides b and b divides c mean that a divides c).
A transitive verb.
[Late Latin trānsitīvus, passing over (translation of Greek diabibastikos), from trānsitus, past participle of trānsīre, to go over; see transient.]
tran′si·tive·ness, tran′si·tiv′i·ty n.