transitive

English

Set theory: An example of a transitivity relation.

Etymology

From Latin trānsitīvus, from trānsitus, from trāns (across) + itus, from (to go).

Pronunciation

  • enPR: trăn'zĭtĭv, IPA(key): /ˈtɹænzɪtɪv/
  • (file)

Adjective

transitive (not comparable)

  1. Making a transit or passage.
    • (Can we date this quote?), Ralph Waldo Emerson, 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.
  2. Affected by transference of signification.
    • (Can we date this quote?), John Stuart Mill, (Please provide the book title or journal name):
      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.
  3. (grammar, of a verb) Taking a direct object or objects.
    Antonym: intransitive
    The English verb "to notice" is a transitive verb, because we say things like "She noticed a problem".
    • (Can we date this quote?), G. K. Chesterton, Orthodoxy:
      Men have tried to turn "revolutionise" from a transitive to an intransitive verb.
  4. (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.
    Antonyms: intransitive, nontransitive
    "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.
  5. (algebra, of a group action) Such that, for any two elements of the acted-upon set, some group element maps the first to the second.
  6. (graph theory, of a graph) Such that, for any two vertices there exists an automorphism which maps one to the other.

Derived terms

Translations

See also

References

  • transitive in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.

Anagrams


French

Pronunciation

  • IPA(key): /tʁɑ̃.zi.tiv/
  • Rhymes: -iv
  • Homophone: transitives

Adjective

transitive

  1. feminine singular of transitif

German

Pronunciation

  • (file)

Adjective

transitive

  1. inflection of transitiv:
    1. strong and mixed nominative and accusative feminine singular
    2. strong nominative and accusative plural
    3. weak nominative all-gender singular
    4. weak accusative feminine and neuter singular

Italian

Adjective

transitive

  1. Feminine plural of adjective transitivo.

Anagrams


Latin

Adjective

trānsitīve

  1. vocative masculine singular of trānsitīvus
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