Wiktionary

separable

See also: séparable

English

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Etymology

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From Middle English separable, from Middle French separable and its etymon Latin sēparābilis.[1][2]

Pronunciation

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Adjective

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separable (comparative more separable, superlative most separable)

  1. Able to be separated.
  2. (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
  3. (mathematical analysis, of a topological space) Having a countable dense subset.
  4. (mathematics, algebra) Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined:
    1. (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
        is separable, since its roots are   and  .
      1. (Galois theory, obsolete, of a polynomial  ) Such that none of the irreducible factors of   have a repeated root.
    2. (Galois theory, of an algebraic field extension  ) Such that the minimal polynomial of every element of   is a separable polynomial.
    3. (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see   Separable algebra on Wikipedia.Wikipedia

Synonyms

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Antonyms

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Derived terms

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Translations

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References

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  1. ^ “sē̆parāble, adj.”, in MED Online, Ann Arbor, Mich.: University of Michigan, 2007.
  2. ^ “separable, n.”, in OED Online  ⁠, Oxford: Oxford University Press, launched 2000.

Anagrams

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Asturian

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Adjective

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separable (epicene, plural separables)

  1. separable

Catalan

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Etymology

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Borrowed from Latin sēparābilis.

Pronunciation

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Adjective

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separable m or f (masculine and feminine plural separables)

  1. separable
    Antonym: inseparable
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Further reading

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Spanish

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Etymology

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From Latin sēparābilis.

Pronunciation

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  • IPA(key): /sepaˈɾable/ [se.paˈɾa.β̞le]
  • Rhymes: -able
  • Syllabification: se‧pa‧ra‧ble

Adjective

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separable m or f (masculine and feminine plural separables)

  1. separable, detachable
    Antonym: inseparable
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Further reading

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