adjoint

adjective · nounB1

Định nghĩa theo từ loại

Tính từ

adjective

1.
(not comparable)(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).
2.
(not comparable)(mathematics, category theory, of a functor) That is related to another functor by an adjunction.
3.
(not comparable)(geometry, of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.

Danh từ

noun

Plural noun:

adjoints

1.
(mathematics) The transpose of the cofactor matrix of a given square matrix.
2.
(mathematics, linear algebra, of a matrix) Transpose conjugate.
3.
(mathematics, mathematical analysis, of an operator) Hermitian conjugate.
4.
(mathematics, category theory) A functor related to another functor by an adjunction.
5.
(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.
6.
An assistant to someone who holds a position in the military or civil service.
7.
An assistant mayor of a French commune.

Từ liên quan

Đồng nghĩa

adjunctmathematics adjunct in certain contexts

Cùng gốc / liên quan

adjoint actionadjoint curveadjoint endomorphismadjoint functoradjoint matrixadjoint operatoradjoint representationleft adjoint functorright adjoint functoradjointableadjointlyadjointnessnonadjointadjunctioncoadjointself-adjointsub-adjointadjunction noun

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Nguồn gốc từ

From French adjoindre (to join), from late 19th C; see also adjoin. adjunct.