adjoint background

adjoint

/ˈædʒ.ɔɪnt/

Illustration adjoint - Image 1

noun

수반 행렬

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

Examples :

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

행렬의 역행렬을 구하려면 먼저 수반 행렬을 계산합니다.

Illustration adjoint - Image 1

noun

수반 행렬

(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. "

학생들의 시험 점수를 나타내는 행렬의 수반 행렬은 각 과목의 평균 점수를 계산하는 데 사용됩니다.

Illustration adjoint - Image 1

noun

수반

(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. "

양자역학에서, 연산자의 수반은 양자 시스템의 "켤레" 상태에 어떻게 작용하는지 설명합니다.

math physics technical

Illustration adjoint - Image 1

noun

수반자

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." "

고등 수학에서, 함수를 이해하려면 종종 그 동작을 설명하는 데 도움이 되는 관련 함수인 수반자를 검토해야 합니다.

Illustration adjoint - Image 1

noun

수반 곡선

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. "

교수는 복잡한 곡선을 완전히 이해하기 위해, 그 수반 곡선도 검토해야 한다고 설명했다.

Illustration adjoint - Image 1

noun

보좌관, 부관

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. "

장군의 보좌관은 다가오는 부대 배치에 대한 모든 물류를 처리했습니다.

military government position job

Illustration adjoint - Image 1

noun

부시장

An assistant mayor of a French commune.

Examples :

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

부시장은 작은 프랑스 마을의 시장이 연례 바스티유 축제를 조직하는 것을 도왔다.

politics government

Illustration adjoint - Image 1

adjective

수반의

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. "

그녀의 선형대수학 수업에서 교수는 수반 연산자를 설명하며, 행렬의 "켤레 전치"를 찾는 데 어떻게 도움이 되는지 설명했는데, 이는 행렬의 반사와 켤레의 한 형태가 결합된 것과 같습니다.

math technical science logic system

Illustration adjoint - Image 1

adjective

수반

(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. "

우리 선형대수학 수업에서 왼쪽 수반 함자는 방정식 시스템을 풀기 위해 사용되는 오른쪽 함자와 밀접하게 관련되어 있습니다.

math technical logic

Illustration adjoint - Image 1

adjective

수반의

(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. "

두 번째 곡선은 수반이었고, 원래 디자인과 세 개의 중요한 점을 공유했다.