adjoint

/ˈædʒ.ɔɪnt/

noun

1
The transpose of the cofactor matrix of a given square matrix.
2
(of a matrix) Transpose conjugate.
3
(of an operator) Hermitian conjugate.
4
A functor related to another functor by an adjunction.
5
A curve A such that any point of a given curve C of multiplicity r has multiplicity at least r–1 on A. Sometimes the multiple points of C are required to be ordinary, and if this condition is not satisfied the term sub-adjoint is used.
6
An assistant to someone who holds a position in the military or civil service.
7
An assistant mayor of a French commune.

1
Used in certain contexts, in each case involving a pair of transformations, one of which is, or is analogous to, conjugation (either inner automorphism or complex conjugation).
2
(of a functor) That is related to another functor by an adjunction.
3
(of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.

Click any language to open the translator with this word already filled in.