Adjoint

Word ADJOINT
Character 7
Hyphenation ad joint
Pronunciations /ˈædʒ.ɔɪnt/

Definitions and meanings of "Adjoint"

What do we mean by adjoint?

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

(of a matrix) Transpose conjugate.

(of an operator) Hermitian conjugate.

A functor related to another functor by an adjunction.

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.

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

An assistant mayor of a French commune.

Synonyms and Antonyms for Adjoint

  • Antonyms for adjoint
  • Adjoint antonyms not found!

The word "adjoint" in example sentences

His adjoint was the Colonel Comte de Mazancourt, his aide-de-camp ❋ Fanny Burney (1796)

_Combat_, signed by the "adjoint" of the 13th arrondissement. ❋ Henry Labouchere (1871)

The parameter Lambda of gauge transformation in this three-algebra realm have two "adjoint" indices instead of one. ❋ Unknown (2010)

It is as though every Idea has two faces, which are like love and anger: love in search of the fragments, the progressive determination and linking of the ideal adjoint fields; anger in the condensation of singularities which, by dint of ideal events, defines the concentration of a "revolutionary situation" and causes the Idea to explode into the actual. ❋ Unknown (2008)

There remains to recover, e.g., the representation of “observables” by self-adjoint operators, and the dynamics (unitary evolution). ❋ Unknown (2009)

It is not difficult to show that a self-adjoint operator P with spectrum contained in the two-point set {0,1} must be a projection; i.e., ❋ Unknown (2009)

Each bounded simple random variable f gives rise to a bounded self-adjoint operator A = ❋ Unknown (2009)

Controls on ocean productivity and air-sea carbon flux: An adjoint model sensitivity study. ❋ Unknown (2008)

Studying the properties off these observations one sees that they satisfy the necessary axioms to be linear operators, and, in fact, self-adjoint operators. ❋ Sean (2008)

One of the striking features of adjoint situations is precisely the fact that fundamental mathematical and logical constructions arise out of given and often elementary functors. ❋ Marquis, Jean-Pierre (2007)

The observable quantities are represented by self-adjoint operators B on the Hilbert space. ❋ Ghirardi, Giancarlo (2007)

Pauli pointed out that a (self-adjoint) time operator is incompatible with a Hamiltonian spectrum bounded below. ❋ Sean (2007)

Here are some of the important facts regarding adjoint functors. ❋ Marquis, Jean-Pierre (2007)

By the early 1970's, the concept of adjoint functors was seen as central to category theory. ❋ Marquis, Jean-Pierre (2007)

More generally, Lawvere showed how syntax and semantics are related by adjoint functors. ❋ Marquis, Jean-Pierre (2007)

Argued that adjoint functors should generally play a major foundational role through the notion of “categorical doctrines” ❋ Marquis, Jean-Pierre (2007)

Before we give more examples, a formal and abstract definition of adjoint functors is in order. ❋ Marquis, Jean-Pierre (2007)

In other words, many important mathematical theorems can be translated as statements about the existence of adjoint functors, sometimes satisfying additional properties. ❋ Marquis, Jean-Pierre (2007)

The entropy estimate comes from integrating a Li-Yau type differential Harnack inequality for the adjoint heat equation,and the other is the optimal Li-Yau path integral for the same Harnack inequality; as Perelman acknowledges in ❋ Sun Bin (2006)

"The only person who can make a decision is Paul Hamm," said Andre Gueisbuhler, adjoint secretary general of FIG. ❋ Unknown (2004)

Cross Reference for Adjoint

  • Adjoint cross reference not found!

What does adjoint mean?

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