Definition of Adjoint. Meaning of Adjoint. Synonyms of Adjoint

Here you will find one or more explanations in English for the word Adjoint. Also in the bottom left of the page several parts of wikipedia pages related to the word Adjoint and, of course, Adjoint synonyms and on the right images related to the word Adjoint.

Definition of Adjoint

Adjoint
Adjoint Ad"joint, n. An adjunct; a helper. [Obs.]

Meaning of Adjoint from wikipedia

- In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically...
- a complex Hilbert space has a corresponding Hermitian adjoint (or adjoint operator). Adjoints of operators generalize conjugate transposes of square...
- In mathematics, a self-adjoint operator (or Hermitian operator) on a finite-dimensional complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle...
- In mathematics, the adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations...
- this relationship are known as adjoint functors, one being the left adjoint and the other the right adjoint. Pairs of adjoint functors are ubiquitous in mathematics...
- of a *-algebra is self-adjoint if x ∗ = x {\displaystyle x^{*}=x} . A collection C of elements of a star-algebra is self-adjoint if it is closed under...
- adjoint, or adjunct[citation needed] of a square matrix is the transpose of its cofactor matrix. The adjugate has sometimes been called the "adjoint"...
- In quantum field theory, the Dirac adjoint defines the dual operation of a Dirac spinor. The Dirac adjoint is motivated by the need to form well-behaved...
- conjugate transpose of a matrix are Hermitian conjugate, bedaggered matrix, adjoint matrix or transjugate. The conjugate transpose of a matrix A {\displaystyle...
- The adjoint state method is a numerical method for efficiently computing the gradient of a function or operator in a numerical optimization problem. It...
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