Let and be infinitely differentiable functions of , , and . Then the Lagrange bracket is defined by
(1) |
(2) |
(3) |
If and are functions of and only, then the Lagrange bracket collapses the Poisson Bracket .
See also Lie Bracket, Poisson Bracket
References
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics.
Cambridge, MA: MIT Press, p. 1004, 1980.