separable — 英語辞典

形容詞

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.

   用法

   • of a differential equation

3. Having a countable dense subset.

   用法

   • of a topological space

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)

   用法

   • of a polynomial

   例文

   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.

   用法

   • 廃語
   • of a polynomial P
   • of a polynomial

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.

   用法

   • of an algebraic field extension E/F

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

   用法

   • abstract
   • of an algebra over a ring

形容詞

1. capable of being divided or dissociated

   同義語

   dissociableseverable

   例文

   often drugs and crime are not dissociable

   the siamese twins were not considered separable

   その他の例文 (1)

   a song … never conceived of as severable from the melody