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Summary Of: Poisson bracket

the Poisson bracket is used to define a... The Poisson bracket is defined for the component functions of the vector field... The Poisson bracket is defined for the component functions of the vector field... the Poisson bracket takes the form... symmetry of the Poisson bracket is ensured by the axioms of the... The Poisson bracket on smooth functions corresponds to the Lie bracket on coexact vector fields and inherits its... The parallel role of the Poisson bracket is apparent from a rearrangement of the Jacobi identity... and the operations of taking the Poisson bracket with respect to... with the Poisson bracket acting as the...

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