separable.
Able to be separated.
Meaning & usage
Able to be separated.
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.
Having a countable dense subset.
Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined: Having no repeated roots (where roots are considered in an algebraic closure)
x²#43;1 is separable, since its roots are i and -i.
Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined: Having no repeated roots (where roots are considered in an algebraic closure) Such that none of the irreducible factors of P have a repeated root.
Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined: Such that the minimal polynomial of every element of E is a separable polynomial.
Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined: 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
Where this word comes from
From Middle English separable, from Middle French separable and its etymon Latin sēparābilis.
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Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.