# transitivity

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Related to Transitive action: Simply transitive, Stabilizer subgroup

## tran·si·tive

(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.*

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | transitivity - (logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and thirdmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement logic - the branch of philosophy that analyzes inference logical relation - a relation between propositions mathematical relation - a relation between mathematical expressions (such as equality or inequality) |

2. | transitivity - the grammatical relation created by a transitive verbgrammatical relation - a linguistic relation established by grammar intransitiveness, intransitivity - the grammatical relation created by an intransitive verb |

Translations

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