Adjoint

Quick meaning: Adjoint is an adjective meaning (mathematics, category theory, of a functor) That is related to another functor by an adjunction.

Meaning

(mathematics, category theory, of a functor) That is related to another functor by an adjunction.

More Meanings

1. (geometry, of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.
2. (mathematics) The transpose of the cofactor matrix of a given square matrix.
3. (mathematics, linear algebra, of a matrix) Transpose conjugate.
4. (mathematics, mathematical analysis, of an operator) Hermitian conjugate.
5. (mathematics, category theory) A functor related to another functor by an adjunction.
6. (mathematics) 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).
7. (geometry, algebraic geometry) 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.

Example Sentences

This imposes n(n - 3)/2 conditions on the n-gon adjoint curve.

Mayors and their adjoints were often simple cultivateurs like the majority of the community.

A vigorous, aggressive, and ambitious mayor will not rely overmuch upon his adjoints, but a mayor of the more passive type will lean heavily upon them.

. Nominated the citizens Fayolles, captain of infantry, and Favery of the Engineers to be my adjoints, and dispatched the letters of nomination to the Minister at War, so now I am fairly afloat.

Word Forms

• adjoints

Synonyms for adjoint

Depending on context, synonyms include adjunct.

Related Words

Related dictionary entries include hermitian, asst, adjunct, associate, assistant, deputy.

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