adjoin
Pronunciation
  • IPA: /əˈdʒɔɪn/
Verb

adjoin (adjoins, present participle adjoining; past and past participle adjoined)

  1. (transitive) To be in contact or connection with.
    The living room and dining room adjoin each other.
    • 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).
    \textbf{Q}\left(\sqrt{2}\right) can be obtained from \textbf{Q} by adjoining \sqrt{2} to \textbf{Q}.
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