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Separable
adj
Definitions
Adjective
- 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:; Having no repeated roots (where roots are considered in an algebraic closure)
"x²#43;1 is separable, since its roots are i and -i."
- 5 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. obsolete
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- 6 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.
- 7 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 abstract
Adjective
- 1 capable of being divided or dissociated wordnet
Etymology
From Middle English separable, from Middle French separable and its etymon Latin sēparābilis.
See also for "separable"
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