separable
adjective
- adjective Able to be separated.
- adjective (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.
- adjective (mathematical analysis, of a topological space) Having a countable dense subset.
- adjective (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure) “x²#43;1 is separable, since its roots are i and -i.”
- adjective (Galois theory, obsolete, of a polynomial P) Such that none of the irreducible factors of P have a repeated root.
- adjective (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- adjective (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
disunitable separatable dissociable severable
Antonyms
Etymology
From Middle English separable, from Middle French separable and its etymon Latin sēparābilis.
Webster’s 1913
- adjective Capable of being separated, disjoined, disunited, or divided; as, the separable parts of plants; qualities not separable from the substance in which they exist.
Etymology [L. separabilis: cf. F. séparable.]
Sources: Wiktionary · WordNet 3.0 · Webster’s 1913 — from the Wiktionary entry “separable”, CC BY-SA 4.0. Details