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单词 Lagrange Bracket
释义

Lagrange Bracket

Let and be infinitely differentiable functions of , , and . Then the Lagrange bracket is defined by


(1)

The Lagrange bracket satisfies
(2)


(3)


If and are functions of and only, then the Lagrange bracket collapses the PoissonBracket .

See also Lie Bracket, Poisson Bracket


References

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1004, 1980.


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