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

The following letter appears in the Combat, signed by the "adjoint" of the 13th arrondissement.

From Diary of the Besieged Resident in Paris by Labouchere, Henry

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

No, sir, I am his assistant Non, Monsieur, je suis son adjoint.

From Manual for Noncommissioned Officers and Privates of Infantry of the Army of the United States, 1917 To be used by Engineer companies (dismounted) and Coast Artillery companies for Infantry instruction and training by United States War Department