noun

definition

The transpose of the cofactor matrix of a given square matrix.

definition

(of a matrix) Transpose conjugate.

definition

(of an operator) Hermitian conjugate.

definition

A functor related to another functor by an adjunction.

definition

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.

definition

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

definition

An assistant mayor of a French commune.

adjective

definition

Used in certain contexts, in each case involving a pair of transformations, one of which is, or is analogous to, conjugation (either inner automorphism or complex conjugation).

definition

(of a functor) That is related to another functor by an adjunction.

definition

(of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.

Examples of adjoint in a Sentence

The adjoint determinant is the (n - I) th power of the original determinant.

The adjoint determinant will be seen subsequently to present itself in the theory of linear equations and in the theory of linear transformation.

It is easy to see that the adjoint determinant is also 'symmetrical, viz.

For the second order we may take Ob - I - A, 1 1 +A2, and the adjoint determinant is the same; hence (1 +A2)x1 = (1-A 2)X 1 + 2AX2, (l +A 2)x 2 = - 2AX1 +(1 - A2)X2.

In 1768, recognized as a man who had both the ability and the means for a scientific career, he was nominated adjoint chimiste to the Academy, and in that capacity made numerous reports on the most diverse subjects, from the theory of colours to water-supply and from invalid chairs to mesmerism and the divining rod.

Higher ranks would use stars to denote their status, starting with one silver star for the Chief Regional Adjoint and four gold stars on the epaulet for the Delegue General de la Malice en Zone Nord.

The same year he obtained the position of adjoint to Baudon, one of the farmers-general of the revenue, subsequently becoming a full titular member of the body.

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