Adjective
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.
Usage- of a differential equation
Having a countable dense subset.
Usage- of a topological space
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)
Usage- of a polynomial
- Examples
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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.
Usage- Obsolete
- of a polynomial P
- of a polynomial
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.
Usage- of an algebraic field extension E/F
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
Usage- abstract
- of an algebra over a ring
Adjective
capable of being divided or dissociated
- Synonyms
- Examples
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often drugs and crime are not dissociable
the siamese twins were not considered separable
More examples (1)
a song … never conceived of as severable from the melody