English Dictionary

subfield

名詞

A smaller, more specialized area of study or occupation within a larger one / (algebra) A subring of a field, containing the multiplicative identity and closed under inversion.

日本語の意味

大きな分野の中の、より小規模で専門的な研究分野や職業領域 / 数学（代数学）において、体の部分体系。乗法単位元を含み、逆元が存在し、体としての演算が成立するもの

After taking several courses, she decided to specialize in the subfield of computational linguistics.

いくつかの講義を受けた後、彼女は計算言語学という専門の小分野に特化することに決めた。

意味（1）

A smaller, more specialized area of study or occupation within a larger one

意味（2）

(algebra) A subring of a field, containing the multiplicative identity and closed under inversion.

Let us describe in general the subfield generated by a given element. Let K be a given field, F a subfield of K, and c an element of K. Consider those elements of K which are given by polynomial expressions of the form (1) qquad f(c)=a_0+a_1c+a_2c²+...+a_ncⁿ qquad qquad mbox (eacha_i mbox inF mbox ). … If f(c) and g(c) ≠ 0 are polynomial expressions like (1), their quotient f(c)/g(c) is an element of K, called a rational expression in c with coefficients in F. The set of all such quotients is a subfield; it is the field generated by F and c and is conventionally denoted by F(c), with round brackets.

subfields （ plural ）