adjoin

verbA2

Định nghĩa theo từ loại

Động từ

verb

V_es/s

adjoins

V_ing/Gerund

adjoining

V_ed/pp

adjoined

1.
(transitive)To be in contact or connection with.
The living room and dining room adjoin each other.
2.
(transitive)(transitive, mathematics, chiefly algebra and number theory) To extend an algebraic object (e.g. a field, a ring, etc.) by adding to it an element not belonging to it and then ensuring closure, for example by also adding all finite power series of the element.
The ring adjunction #92;mathbb#123;Q#125;#91;#92;sqrt#123;2#125;#93; can be obtained from #92;mathbb#123;Q#125; by adjoining #92;sqrt#123;2#125; to #92;mathbb#123;Q#125;.
The field adjunction #92;mathbb#123;Q#125;(#92;pi) can be obtained from #92;mathbb#123;Q#125; by adjoining #92;pi to #92;mathbb#123;Q#125;.

Từ liên quan

Cùng gốc / liên quan

adjunction

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Nguồn gốc từ

From adjoindre, from Latin adiungō.