Synonymer & Information om | Engelska ordet ADJOINT

Exempel på hur man kan använda ADJOINT i en mening

• The terms adjoint and adjunct are both used, and are cognates: one is taken directly from Latin, the other from Latin via French.
• In the language of order theory, the floor function is a residuated mapping, that is, part of a Galois connection: it is the upper adjoint of the function that embeds the integers into the reals.
• In physics, especially in quantum mechanics, the conjugate transpose is referred to as the Hermitian adjoint of a matrix and is denoted by a dagger (†), so the equation above is written.
• The definition of the transpose may be seen to be independent of any bilinear form on the modules, unlike the adjoint (below).
• In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes with its Hermitian adjoint N*, that is: NN* = N*N.
• It is occasionally known as adjunct matrix, or "adjoint", though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose.
• Other names for the conjugate transpose of a matrix are Hermitian conjugate, adjoint matrix or transjugate.
• Between May 1982 and February 1988, subprefects were known instead by the title Deputy Commissionner of the Republic (commissaire adjoint de la République).
• Using category theory, this can be expressed by saying that localization is a functor that is left adjoint to a forgetful functor.
• Another rearrangement shows that the Jacobi identity is equivalent to the following identity between the operators of the adjoint representation:.
• If we assume that V is nonnegative and is zero only for the Higgs vacuum and that the Higgs field is in the adjoint representation, then, by virtue of the Yang–Mills Bianchi identity,.
• Succinctly, an adjoint representation is an isotropy representation associated to the conjugation action of G around the identity element of G.
• It follows that, if free objects exist in , the functor , called the free functor is a left adjoint to the faithful functor ; that is, there is a bijection.
• Categorically, the group ring construction is left adjoint to "group of units"; the following functors are an adjoint pair:.
• Monads are used in the theory of pairs of adjoint functors, and they generalize closure operators on partially ordered sets to arbitrary categories.
• It is the free algebra on V, in the sense of being left adjoint to the forgetful functor from algebras to vector spaces: it is the "most general" algebra containing V, in the sense of the corresponding universal property (see below).
• The key property that one has to prove here is that the counit of an adjunction is an isomorphism if and only if the right adjoint is a full and faithful functor.
• Monopole (mathematics), a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle.
• In the case of operators on a Hilbert space, the Hermitian adjoint map on operators gives a natural involution, which provides an additional algebraic structure that can be imposed on the algebra.
• The free algebra functor is left adjoint to the forgetful functor from the category of R-algebras to the category of sets.

Förberedelsen av sidan tog: 217,30 ms.