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单词 transitiveness
释义

transitiveness


tran·si·tive

T0319500 (trăn′sĭ-tĭv, -zĭ-)adj.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).n. Grammar 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·ly adv.tran′si·tive·ness, tran′si·tiv′i·ty n.
Thesaurus
Noun1.transitiveness - the grammatical relation created by a transitive verbtransitivitygrammatical relation - a linguistic relation established by grammar

Transitiveness


Transitiveness

 

a property of some logical relations between objects or quantities.

The relation a*b is said to be transitive if a*c follows from a*b and b*c. For example, the relation “a is equal to b” (a = b) is transitive because a = c follows from a = b and b = c. Similarly, the relation “a is greater than b” (a > b) is transitive. The relation “a is not equal to b” (a ≠ b) is not transitive because a ≠ c does not necessarily follow from a ≠ b and b ≠ c.

In geometry, the relation of parallelism between two lines is transitive: if α is parallel to β and β is parallel to γ, then α is parallel to γ. By contrast, the relation of perpendicularity between lines is not transitive.

transitiveness


  • noun

Synonyms for transitiveness

noun the grammatical relation created by a transitive verb

Synonyms

  • transitivity

Related Words

  • grammatical relation
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更新时间:2026/10/20 12:39:52