항목
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Hamilton–Jacobi equation 해밀턴-야코비 방정식, ハミルトン-ヤコビ方程式In mathematics, the Hamilton–Jacobi equation (HJE) is a necessary condition describing extremal geometry in generalizations of problems from the calculus of variations, and is a special case of the Hamilton–Jacobi–Bellman equation. It is named for William Rowan Hamilton and Carl Gustav Jacob...출처 영어 위키백과
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Jacobi elliptic functions 야코비 타원함수, 雅可比橢圓函數In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that are of historical importance. Many of their features show up in important structures and have direct relevance to some applications (e.g. the equation of a pendulum—also see...출처 영어 위키백과
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Jacobi symbol 야코비 기호, 雅可比符号Jacobi symbol (m/n) for various m (along top) and n (along left side). Only 0 ≤ m < n are shown, since due to rule (2) below any other m can be reduced modulo n. Quadratic residues are highlighted in yellow — note that no entry with a Jacobi symbol of -1 is a quadratic residue, and if m is a...출처 영어 위키백과
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Jacobi identity 야코비 항등식, ヤコビ恒等式In mathematics the Jacobi identity is a property a binary operation can have that determines how the order of evaluation behaves for the given operation. Unlike for associative operations, order of evaluation is significant for operations satisfying Jacobi identity. It is named after the German...출처 영어 위키백과
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Jacobi–Anger expansion 야코비-앙거 전개In mathematics, the Jacobi–Anger expansion (or Jacobi–Anger identity) is an expansion of exponentials of trigonometric functions in the basis of their harmonics. It is useful in physics (for example, to convert between plane waves and cylindrical waves), and in signal processing (to describe FM...출처 영어 위키백과
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Jacobi form 야코비 형식In mathematics, a Jacobi form is an automorphic form on the Jacobi group, which is the semidirect product of the symplectic group Sp(n;R) and the Heisenberg groupH^{(n,h)}_R. The theory was first systematically studied by . Definition A Jacobi form of level 1, weight k and index m is a function...출처 영어 위키백과
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Lutz Jacobi 뤼츠 야코비Lutske (Lutz) Jacobi (born December 13, 1955 in Katlijk) is a Dutch politician and former civil servant. As a member of the Labour Party (Partij van de Arbeid) she has been an MP since November 30, 2006. She focuses on matters of natural environment, rural area, agriculture, horticulture, fishery...출처 영어 위키백과
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Jacobi group 야코비 군In mathematics, the Jacobi group, introduced by , is the semidirect product of the symplectic group Sp2n(R) and the Heisenberg group R1+2n. The concept is named after Carl Gustav Jacob Jacobi. Automorphic forms on the Jacobi group are called Jacobi forms. References출처 영어 위키백과
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구배 gradient또 m개의 함수 g1, g2, …, gm을 늘어놓은 함수 g(x)=(g1(x), g2(x), …, gm(x))에 대하여, gj의 xi에 관한 편미분계수 ∂gj(x)/ ∂xi를 제 (i, j) 성분으로 하는 n×m 행렬을 함수 g의 점 x에서의 야코비 행렬(Jacabian matrix)이라 부르며, ∇g(x)로 나타낸다. 〈참조어〉 구배법, 열구배, 야코비 행렬, 헤세 행렬
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