English Explanatory Dictionary

separable

English dictionary entry

Meanings

adj
  1. Able to be separated.
  2. 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. Having a countable dense subset.
  4. Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined:
  5. Having no repeated roots (where roots are considered in an algebraic closure)
  6. Such that none of the irreducible factors of P have a repeated root.
  7. Such that the minimal polynomial of every element of E is a separable polynomial.
  8. 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

Pronunciation

LL-Q1860 (eng)-Vealhurl-separable.wav

Word forms

separable more separable most separable

Etymology

From Middle English separable, from Middle French separable and its etymon Latin sēparābilis.

Synonyms

disunitable separatable

Antonyms

annexable combinable inseparable

Related words

separability

Derived words

nonseparable quasiseparable semiseparable separable affix separable extension separableness separable polynomial separable prefix separable verb separably superseparable unseparable

Translations

Asturian: xebrable Catalan: separable Finnish: separoituva French: séparable Galician: separable German: separierbar German: trennbar Italian: separabile Polish: rozłączny Portuguese: separável Spanish: separable
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