adjunction

/æˈdʒʌŋkʃən/

noun

付加, 添加

The act of joining; the thing joined or added.

Examples :

"The adjunction of the new playground to the existing park made it a much more attractive place for families. "

新しい遊び場を既存の公園に付加したことで、家族にとってずっと魅力的な場所になりました。

noun

付加、結合

The joining of personal property owned by one to that owned by another.

Examples :

"After the adjunction of Sarah's art supplies to the classroom collection, everyone had more materials to use. "

サラの美術用品が教室のコレクションに付加された後、誰もがより多くの材料を使用できるようになりました。

property law

noun

随伴

Given a pair of categories \mathcal{C} and \mathcal{D}: an anti-parallel pair of functors F:\mathcal{C}\rightarrow \mathcal{D} and G:\mathcal{D}\rightarrow \mathcal{C} and a natural transformation \eta:\mbox{id}C \rightarrow GF called “unit” such that for any object A \in \mathcal{C}, for any object B \in \mathcal{D}, and for any morphism f:A\rightarrow GB, there is a unique morphism g:FA\rightarrow B such that Gg \circ \etaA = f. (Note: there is another natural transformation called “counit” as well but its existence may be derived by theorem.) The pair of functors express a similarity between the pair of categories which is weaker than that of an equivalence of categories.

Examples :

"The professor explained the concept of adjunction between two mathematical structures using examples from group theory and linear algebra, showing how it establishes a formal connection between them. "

教授は、群論と線形代数の例を用いて、2つの数学的構造間の随伴の概念を説明し、それらがどのように正式なつながりを確立するかを示しました。

math abstract logic theory

Meanings

付加, 添加

Examples :

"The adjunction of the new playground to the existing park made it a much more attractive place for families. "

新しい遊び場を既存の公園に付加したことで、家族にとってずっと魅力的な場所になりました。

付加、結合

Examples :

"After the adjunction of Sarah's art supplies to the classroom collection, everyone had more materials to use. "

サラの美術用品が教室のコレクションに付加された後、誰もがより多くの材料を使用できるようになりました。

随伴

Examples :

"The professor explained the concept of adjunction between two mathematical structures using examples from group theory and linear algebra, showing how it establishes a formal connection between them. "

教授は、群論と線形代数の例を用いて、2つの数学的構造間の随伴の概念を説明し、それらがどのように正式なつながりを確立するかを示しました。

Related Words

connection noun

接続, 連結

transformation noun

変形, 変化

categories noun

カテゴリー, 範疇

classroom noun

教室

collection noun

コレクション、収集

attractive adjective

魅力的, 魅力的な

similarity noun

類似性, 相似性

playground noun

遊び場

structures noun

構造、組織

equivalence noun

同等, 等価

establishes verb

確立する、確認する

mathematical adjective

数学の