adjoint background

adjoint

/ˈædʒ.ɔɪnt/

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noun

Adjunta

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

Examples :

"To find the inverse of a matrix, you first calculate the adjoint. "

Para encontrar la inversa de una matriz, primero se calcula la adjunta.

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noun

Adjunta

(of a matrix) Transpose conjugate.

Examples :

"The adjoint of the matrix representing the students' test scores is used to calculate the average score for each subject. "

La adjunta de la matriz que representa las calificaciones de los estudiantes se utiliza para calcular la puntuación promedio de cada materia.

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noun

Adjunto

(of an operator) Hermitian conjugate.

Examples :

"In quantum mechanics, the adjoint of an operator describes how it acts on the "conjugate" state of a quantum system. "

En mecánica cuántica, el adjunto de un operador describe cómo actúa sobre el estado "conjugado" de un sistema cuántico.

math physics technical

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noun

Adjunto

A functor related to another functor by an adjunction.

Examples :

""In advanced mathematics, understanding a functor often requires examining its adjoint, a related functor that helps explain its behavior." "

En matemáticas avanzadas, comprender un functor a menudo requiere examinar su adjunto, un functor relacionado que ayuda a explicar su comportamiento.

Illustration adjoint - Image 1

noun

Adjunta

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.

Examples :

"The professor explained that to fully understand the complex curve, we also needed to examine its adjoint. "

El profesor explicó que para comprender completamente la curva compleja, también necesitábamos examinar su adjunta.

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noun

Adjunto, asistente

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

Examples :

"The general's adjoint handled all the logistics for the upcoming troop deployment. "

El adjunto del general se encargó de toda la logística para el próximo despliegue de tropas.

military government position job

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noun

Teniente de alcalde

An assistant mayor of a French commune.

Examples :

"The adjoint helped the mayor of the small French town organize the annual Bastille Day celebration. "

El teniente de alcalde ayudó al alcalde del pequeño pueblo francés a organizar la celebración anual del Día de la Bastilla.

politics government

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adjective

Adjunto

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).

Examples :

"In her linear algebra class, the professor explained the adjoint operator, clarifying how it helps to find the "conjugate transpose" of a matrix, which is like a reflection of the matrix combined with a form of conjugation. "

En su clase de álgebra lineal, el profesor explicó el operador adjunto, aclarando cómo ayuda a encontrar la "transpuesta conjugada" de una matriz, que es como una reflexión de la matriz combinada con una forma de conjugación.

math technical science logic system

Illustration adjoint - Image 1

adjective

Adjunto

(of a functor) That is related to another functor by an adjunction.

Examples :

"The left-hand adjoint functor in our linear algebra class is closely related to the right-hand functor used to solve systems of equations. "

El funtor adjunto izquierdo en nuestra clase de álgebra lineal está estrechamente relacionado con el funtor derecho utilizado para resolver sistemas de ecuaciones.

math technical logic

Illustration adjoint - Image 1

adjective

Adjunto

(of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.

Examples :

"The second curve was adjoint, sharing three crucial points with the original design. "

La segunda curva era adjunta, compartiendo tres puntos cruciales con el diseño original.