trichotomy

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English

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Wikipedia

Etymology

From Ancient Greek τριχοτομία (trikhotomía), from τρίχα (tríkha) +‎ τόμος (tómos) +‎ -ία (-ía).

Pronunciation

  • (UK) IPA(key): /tɹaɪˈkɒt.ə.mi/
  • (US) IPA(key): /tɹaɪˈkɑt.ə.mi/
  • Audio (US):(file)
  • Rhymes: -ɒtəmi

Noun

trichotomy (countable and uncountable, plural trichotomies)

  1. Division or separation into three groups or pieces.
  2. (algebra) the property of an order relation whereby, given an ordered pair of elements (of a given algebraic structure), exactly one of these is true: the first element is 'less than' the second one, the second is 'less than' the first, or the two elements are equal.
    • Aliprantis, Border (2006), Infinite Dimensional Analysis: A Hitchhiker's Guide (3rd ed.), p. 6
      obeys the following trichotomy law

Translations