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Liouville's equation is a fundamental equation in Hamiltonian mechanics that describes the evolution of the distribution function of a dynamical system in phase space. It is often used in statistical mechanics and classical mechanics. The equation can be written as: \[ \frac{\partial f}{\partial t} + \{f, H\} = 0 \] where: - \( f \) is the phase space distribution function, representing the density of system states in phase space.

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