Poisson bracket
bilinear differential operation on scalar fields on a symplectic (or, more generally, Poisson) manifold
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Poisson bracket
Summary
Poisson bracket is a mathematical concept[1]. It draws 880 Wikipedia views per month (mathematical_concept category, ranking #113 of 1,007).[2]
Key Facts
- Poisson bracket's instance of is recorded as mathematical concept[3].
- Poisson bracket is a type of binary operation[4].
- Poisson bracket is a type of Lie bracket[5].
- Poisson bracket is a type of Jacobi brackets[6].
- Poisson bracket is part of Poisson algebra[7].
- Poisson bracket is part of Poisson manifold[8].
- Poisson bracket's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/poisson-brackets[9].
- Poisson bracket's maintained by WikiProject is recorded as WikiProject Mathematics[10].
Body
Definition and Type
Poisson bracket's instance of is recorded as mathematical concept[3]. Recorded subclass of include binary operation[4], Lie bracket[5], and Jacobi brackets[6].
Use and Application
Part of include Poisson algebra[7], a mathematical concept[11] and Poisson manifold[8].
Why It Matters
Poisson bracket draws 880 Wikipedia views per month (mathematical_concept category, ranking #113 of 1,007).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[12] It is known by 23 alternative names across languages and contexts.[13]