adjoin

From Anglo-Norman adjoindre, from Latin adiungō.

• enPR: ə-join'
• IPA^(key): /əˈdʒɔɪn/

• Audio (US)

  (file)

• Rhymes: -ɔɪn

adjoin (third-person singular simple present adjoins, present participle adjoining, simple past and past participle adjoined)

1. (transitive) To be in contact or connection with.

   The living room and dining room adjoin each other.

   • 2013, Graeme Simsion, The Rosie Project, →ISBN, page 55:

     We were in the living area, which adjoins the kitchen.

2. (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 all finite power series of (the element).

   ${\displaystyle {\textbf {Q}}\left({\sqrt {2}}\right)}$ can be obtained from ${\displaystyle {\textbf {Q}}}$ by adjoining ${\displaystyle {\sqrt {2}}}$ to ${\displaystyle {\textbf {Q}}}$ .

• adjoining

• adjunction