separableとは 意味・読み方・使い方

発音

形容詞

separable (comparative more separable, superlative most separable)

1. Able to be separated.
2. (mathematics, of a differential equation) 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. (mathematical analysis, of a topological space) Having a countable dense subset.
4. (mathematics, algebra) Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined:
   1. (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)

      ${\displaystyle x^{2}+1}$ is separable, since its roots are ${\displaystyle i}$ and ${\displaystyle -i}$.

      1. (Galois theory, obsolete, of a polynomial ${\displaystyle P}$) Such that none of the irreducible factors of ${\displaystyle P}$ have a repeated root.
   2. (Galois theory, of an algebraic field extension ${\displaystyle E/F}$) Such that the minimal polynomial of every element of ${\displaystyle E}$ is a separable polynomial.
   3. (abstract algebra, of an algebra over a ring) 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

同意語

• disunitable
• separatable

反意語

• (antonym(s) of “able to be separated”): annexable, combinable, inseparable

派生語

関連する語

• separability

参照

アナグラム

• bearleaps, parseable, spareable, spearable