adjoint

American  

[aj-oint] / ˈædʒ ɔɪnt /

noun

Mathematics.

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

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adjoint British  

/ ˈædˌdʒɔɪnt /

noun

1. maths

   1. another name for Hermitian conjugate

   2. a generalization in category theory of this notion

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Etymology

Origin of adjoint

ad- + joint

Example Sentences

The paper suggests that ambient noise differential adjoint tomography can be used to find water and oil resources without the need for expensive drilling.

From Science Daily • Dec. 11, 2023

Gendrot joined the Police Nationale as an adjoint de sécurité – a contracted and salaried “special constable” – in 2018 using his real name.

From The Guardian • Sep. 3, 2020

M. le Comte de Mazancourt, his adjoint, is a gay, spirited and spirituel young man, remarkably well bred, and gallantly fond of his profession.

From The Diary and Letters of Madame D'Arblay — Volume 3 by Burney, Fanny

It would be more easy for you to make your way to a port than across the frontier," the adjoint said, "but when you reach a port, your difficulties would but begin.

From No Surrender! A Tale of the Rising in La Vendee by Wood, Stanley L.

"It is no use," replied the adjoint despondingly.

From Leaves from a Field Note-Book by Morgan, John Hartman