- Jacobi bracket
- Математика: скобка Якоби
Универсальный англо-русский словарь. Академик.ру. 2011.
Jacobi bracket
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Jacobi identity — In mathematics the Jacobi identity is a property that a binary operation can satisfy which determines how the order of evaluation behaves for the given operation. Unlike for associative operations, order of evaluation is significant for… … Wikipedia
Bracket (mathematics) — In mathematics, various typographical forms of brackets are frequently used in mathematical notation such as parentheses ( ), square brackets [ ] , curly brackets { }, and angle brackets < >. In the typical use, a mathematical expression is… … Wikipedia
Courant bracket — In a field of mathematics known as differential geometry, the Courant bracket is a generalization of the Lie bracket from an operation on the tangent bundle to an operation on the direct sum of the tangent bundle and the vector bundle of p forms … Wikipedia
Poisson bracket — In mathematics and classical mechanics, the Poisson bracket is an important operator in Hamiltonian mechanics, playing a central role in the definition of the time evolution of a dynamical system in the Hamiltonian formulation. In a more general… … Wikipedia
Lie bracket of vector fields — See Lie algebra for more on the definition of the Lie bracket and Lie derivative for the derivationIn the mathematical field of differential topology, the Lie bracket of vector fields or Jacobi ndash;Lie bracket is a bilinear differential… … Wikipedia
Schouten-Nijenhuis bracket — In differential geometry, the Schouten Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Schouten–Nijenhuis bracket — In differential geometry, the Schouten–Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Carl Gustav Jacob Jacobi — Carl Jacobi Carl Gustav Jacob Jacobi Born December 10, 1804(1804 … Wikipedia
Dirac bracket — The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to correctly treat systems with second class constraints in Hamiltonian mechanics and canonical quantization. It is an important part of Dirac s development of… … Wikipedia
Moyal bracket — In physics, the Moyal bracket is the suitably normalized antisymmetrization of the phase space star product. The Moyal Bracket was developed in about 1940 by José Enrique Moyal, but Moyal only succeeded in publishing his work in 1949 after a… … Wikipedia
Nijenhuis-Richardson bracket — In mathematics, the algebraic bracket or Nijenhuis Richardson bracket is a graded Lie algebra structure on the space of alternating multilinear forms of a vector space to itself, introduced by A. Nijenhuis and R. Richardson (1966, 1967). It is… … Wikipedia
