"The living room and dining room adjoin each other."
2.VerbTo 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
Q
[
2
]
{\displaystyle \mathbb {Q} [{\sqrt {2}}]}
can be obtained from
Q
{\displaystyle \mathbb {Q} }
by adjoining
2
{\displaystyle {\sqrt {2}}}
to
Q
{\displaystyle \mathbb {Q} }
.; The field adjunction
Q
(
π
)
{\displaystyle \mathbb {Q} (\pi )}
can be obtained from
Q
{\displaystyle \mathbb {Q} }
by adjoining
π
{\displaystyle \pi }
to
Q
{\displaystyle \mathbb {Q} }
."