Adjective "adjoint" definition and examples

(Adjoint may not be an adjective, but it can be used as an adjective, click here to find out.)

Pronunciation

/ˈadʒɔɪnt/

Definitions and examples

adjective

Relating to or denoting a function or quantity related to a given function or quantity by a particular process of transposition.
  1. 'For the case of a finite-dimensional real linear space these are infinite systems whose adjoint cone is topologically closed.'

noun

An adjoint matrix, function, or quantity.
  1. 'The Smoluchowski diffusion equation, represented as the eigenvalue equation for the adjoint of the diffusion operator, has been solved by computing averages obtained along with the MD statistics.'

More definitions

1. a square matrix obtained from a given square matrix and having the property that its product with the given matrix is equal to the determinant of the given matrix times the identity matrix.

2. Also called Hermitian conjugate, transposed conjugate. the matrix obtained from a given matrix by interchanging rows and columns and by replacing each element by its complex conjugate.

More examples(as adjective)

"dans can be adjoint."

Origin

Late 19th century: from French, literally ‘joined to’, from adjoindre (see adjoin).