Background for transitive

transitive

/ˈtɹænzɪtɪv/

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adjective

Making a transit or passage.

Examples :

"The transitive nature of the ferry allowed people to cross the river quickly. "

grammar language linguistics

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adjective

Affected by transference of signification.

Examples :

"The teacher's enthusiasm was transitive; it inspired the students to work harder. "

language linguistics

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adjective

(grammar, of a verb) Taking a direct object or objects.

Examples :

"The English verb "to notice" is a transitive verb, because we say things like "She noticed a problem"."

grammar language linguistics

Illustration transitive - Image 1

Illustration transitive - Image 2

adjective

(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.

Examples :

""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."

math logic system

Illustration transitive - Image 1

adjective

(of a group action) Such that, for any two elements of the acted-upon set, some group element maps the first to the second.

Examples :

"The teacher's explanation of the math problem was transitive; she showed how every equation could be transformed into any other similar equation using the same steps. "

Illustration transitive - Image 1

adjective

(of a graph) Such that, for any two vertices there exists an automorphism which maps one to the other.

Examples :

"This social network graph is transitive; if you know John is friends with Mary, and Mary is friends with Susan, then there's a way to show a connection between John and Susan within the group. "

math technical logic