adjoin

1. (ambitransitive)To share a common boundary or border with; to be physically contiguous to (a piece of land or property).

   The living room and dining room adjoin each other.

   It's at this point that these three neighbourhoods adjoin.

   lie adjacent to another or share a boundary

2. (transitive)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;.

1. Tom looked into the adjoining bedroom.

   deTom warf einen Blick in das anliegende Schlafzimmer.

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2. Tom went into the adjoining room.

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3. The living room adjoins the dining room.

   ruГостиная примыкает к столовой.

   deDas Wohnzimmer schließt an das Esszimmer an.

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4. Tom could hear someone moving in the adjoining room.

   deTom hörte, wie sich jemand im Zimmer nebenan bewegte.

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5. We could hear people talking in the adjoining room.

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