separable

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

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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)

      ${\displaystyle x^{2}+1}$ is separable, since its roots are ${\displaystyle i}$ and ${\displaystyle -i}$.

      1. (Galois theory, obsolete, of a polynomial ${\displaystyle P}$) Such that none of the irreducible factors of ${\displaystyle P}$ have a repeated root.
   2. (Galois theory, of an algebraic field extension ${\displaystyle E/F}$) Such that the minimal polynomial of every element of ${\displaystyle E}$ 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

• disunitable
• separatable

• (antonym(s) of “able to be separated”): annexable, combinable, inseparable

• separability

• bearleaps, parseable, spareable, spearable

separable (epicene, plural separables)

1. separable

Borrowed from Latin sēparābilis.

• IPA^(key): (Central, Balearic) [sə.pəˈɾab.blə]
• IPA^(key): (Valencia) [se.paˈɾa.ble]

separable m or f (masculine and feminine plural separables)

1. separable

   Antonym: inseparable

• separar

• “separable”, in Diccionari de la llengua catalana [Dictionary of the Catalan Language] (in Catalan), second edition, Institute of Catalan Studies [Catalan: Institut d'Estudis Catalans], April 2007
• “separable”, in Gran Diccionari de la Llengua Catalana, Grup Enciclopèdia Catalana, 2025.
• “separable” in Diccionari normatiu valencià, Acadèmia Valenciana de la Llengua.
• “separable” in Diccionari català-valencià-balear, Antoni Maria Alcover and Francesc de Borja Moll, 1962.

From Latin sēparābilis.

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

separable m or f (masculine and feminine plural separables)

1. separable, detachable

   Antonym: inseparable

• “separable”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8, Royal Spanish Academy [Spanish: Real Academia Española], 10 December 2024