Definition of "adjoint" in 英语

adjective

1. (mathematics) 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. (mathematics, category theory, of a functor) That is related to another functor by an adjunction.

3. (geometry, of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.

noun

1. (mathematics) The transpose of the cofactor matrix of a given square matrix.

2. (mathematics, linear algebra, of a matrix) Transpose conjugate.

3. (mathematics, mathematical analysis, of an operator) Hermitian conjugate.

4. (mathematics, category theory) A functor related to another functor by an adjunction.

5. (geometry, algebraic geometry) 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.