noun🔗Share随伴行列The transpose of the cofactor matrix of a given square matrix."To find the inverse of a matrix, you first calculate the adjoint. "行列の逆行列を求めるには、まず随伴行列を計算します。mathtechnicalChat with AIVocabulary GamePractice Reading
noun🔗Share随伴行列(of a matrix) Transpose conjugate."The adjoint of the matrix representing the students' test scores is used to calculate the average score for each subject. "生徒のテストの点数を表す行列の随伴行列は、各科目の平均点を計算するために使用されます。mathChat with AIVocabulary GamePractice Reading
noun🔗Share随伴(of an operator) Hermitian conjugate."In quantum mechanics, the adjoint of an operator describes how it acts on the "conjugate" state of a quantum system. "量子力学において、演算子の随伴は、それが量子系の「共役」状態にどのように作用するかを記述します。mathphysicstechnicalChat with AIVocabulary GamePractice Reading
noun🔗Share随伴関手A functor related to another functor by an adjunction.""In advanced mathematics, understanding a functor often requires examining its adjoint, a related functor that helps explain its behavior." "高度な数学では、関手の理解には、その振る舞いを説明するのに役立つ関連する関手である随伴関手を調べる必要があることがよくあります。mathtechnicalChat with AIVocabulary GamePractice Reading
noun🔗Share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."The professor explained that to fully understand the complex curve, we also needed to examine its adjoint. "教授は、複雑な曲線を完全に理解するには、その随伴曲線も調べる必要があると説明しました。mathChat with AIVocabulary GamePractice Reading
noun🔗Share補佐官, 助手An assistant to someone who holds a position in the military or civil service."The general's adjoint handled all the logistics for the upcoming troop deployment. "将軍の補佐官は、今度の部隊配備のすべての兵站を処理しました。militarygovernmentpositionjobChat with AIVocabulary GamePractice Reading
noun🔗Share助役An assistant mayor of a French commune."The adjoint helped the mayor of the small French town organize the annual Bastille Day celebration. "助役は、小さなフランスの町の市長が毎年恒例のバスティーユ・デーのお祝いを企画するのを手伝いました。politicsgovernmentChat with AIVocabulary GamePractice Reading
adjective🔗Share随伴の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)."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. "彼女の線形代数の授業で、教授は随伴作用素について説明し、行列の「共役転置」を見つけるのにどのように役立つかを説明しました。これは、行列の反射と共役の一形態を組み合わせたようなものです。mathtechnicalsciencelogicsystemChat with AIVocabulary GamePractice Reading
adjective🔗Share随伴の(of a functor) That is related to another functor by an adjunction."The left-hand adjoint functor in our linear algebra class is closely related to the right-hand functor used to solve systems of equations. "線形代数の授業における左随伴関手は、連立方程式を解くために使用される右随伴関手と密接に関連しています。mathtechnicallogicChat with AIVocabulary GamePractice Reading
adjective🔗Share随伴の(of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with."The second curve was adjoint, sharing three crucial points with the original design. "2番目の曲線は随伴であり、元のデザインと3つの重要な点を共有していました。mathtechnicalChat with AIVocabulary GamePractice Reading
