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note
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These questions have a similar ring to those presented in the case of a degenerate dynamical system, in which the symplectic matrix changes its rank (Ref. 19): Is it possible for a system in a generic initial configuration, to reach (in a finite time) a configuration where the symplectic form has lower rank? That problem is unrelated to the one discussed here and can be treated independently. In the present case it is the functional independence of the constraints that fails; in the degenerate dynamical systems it is the symplectic structure that breaks down.
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note
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ij) = 2nN-2n.
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