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

And the women," continued the adjoint, in a tone of stupefied horror, "they are crying, many of them, and will not look one in the face.

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

I can go with you, and say that you were strongly recommended to me by the maire's adjoint at Arthenay, and that your papers are all en regle.

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

And in saying that a function is rationally known, it is meant that its value is expressible rationally in terms of the coefficients and of the adjoint quantities.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" by Various