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.

adjective

  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.

Synonyms: adjunct