English Dictionary

adjoint

/ˈæd͡ʒ.ɔɪnt/

noun

(mathematics) The transpose of the cofactor matrix of a given square matrix. / (mathematics, linear algebra, of a matrix) Transpose conjugate.

The adjoint of a matrix is obtained by taking the transpose of the cofactor matrix.

意味（1）

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

意味（2）

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

意味（3）

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

意味（4）

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

意味（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.

意味（6）

An assistant to someone who holds a position in the military or civil service.

. Nominated the citizens Fayolles, captain of infantry, and Favery of the Engineers to be my adjoints, and dispatched the letters of nomination to the Minister at War, so now I am fairly afloat.

意味（7）

An assistant mayor of a French commune.

A vigorous, aggressive, and ambitious mayor will not rely overmuch upon his adjoints, but a mayor of the more passive type will lean heavily upon them.