adjoints background

adjoints

/ˈædʒɔɪnts/

Illustration adjoints - Image 1

noun

随伴行列

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

Examples :

"To find the adjoints, we first calculated the cofactors of the original matrix and then took the transpose. "

随伴行列を見つけるために、まず元の行列の余因子を計算し、次に転置を取りました。

Illustration adjoints - Image 1

noun

随伴行列

(of a matrix) Transpose conjugate.

Examples :

"The adjoints of the matrix representing student scores in math and science classes helped the teacher calculate the average performance in each subject. "

数学と理科の授業における生徒の得点を表す行列の随伴行列は、教師が各科目の平均的な成績を計算するのに役立ちました。

Illustration adjoints - Image 1

noun

随伴

(of an operator) Hermitian conjugate.

Examples :

"In quantum mechanics, physicists often use the term "adjoints" to refer to operators that are Hermitian conjugates of each other, as these operators play key roles in describing observable quantities. "

量子力学では、物理学者は「随伴」という用語を、互いにエルミート共役である演算子を指すために使用することが多く、これらの演算子は観測可能な量を記述する上で重要な役割を果たします。

Illustration adjoints - Image 1

noun

随伴関手

A functor related to another functor by an adjunction.

Examples :

"In advanced mathematics, functors can be related, and we often talk about one functor and its adjoints. "

高度な数学では、関手は関連付けることができ、ある関手とその随伴関手についてよく話します。

Illustration adjoints - Image 1

noun

随伴曲線

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 :

""When studying algebraic curves, mathematicians often analyze adjoints to understand the singularities, or points of high multiplicity, on the original curve." "

代数曲線を研究する際、数学者は元の曲線上の特異点、つまり高重複度の点を理解するために、随伴曲線を分析することがよくあります。

Illustration adjoints - Image 1

noun

補佐官, 助手

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

Examples :

"The general had several adjoints who helped him manage his daily schedule and correspondence. "

将軍には、日々のスケジュールと通信を管理するのを手伝う補佐官が数人いました。

military government position job

Illustration adjoints - Image 1

noun

助役

An assistant mayor of a French commune.

Examples :

"In the small French town, the mayor relied heavily on his adjoints to manage the various community services, from organizing the weekly market to overseeing the local school. "

小さなフランスの町では、市長は毎週の市場の開催から地元の学校の監督まで、さまざまな地域社会サービスを管理するために、助役に大きく頼っていました。

politics government