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Titlebook: Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained; Vladimir Pletser Book 2018 The Editor(s) (if appl

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nt learning scheme that we consider is based on iterative Q-learning, which enables the controller to learn the optimal control parameters based on the input-state or input–output data. The proposed scheme has the advantage that it is immune to the exploration bias. As a result, the need of discount
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Vladimir PletserExplains how to analytically solve classical problems and exercises.Covers classical, celestial and quantum mechanics.Provides theoretical reviews before the problems and exercises.Presents a solution
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Lagrange Equations,ge equations, generalized moments, Lagrange equations for systems with constraints, and for systems with impulse forces are recalled. Five exercises are then solved, namely on a double pendulum, on a particle on a paraboloid, on a sphere rolling on another sphere, on a truck descending a slope, and on sliding and rotating masses.
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Hamilton Equations,ems are then reviewed. The expression of the Hamiltonian is given in different coordinate systems. Two exercises are then solved, namely on a particle in a plane with central force and on a harmonic oscillator.
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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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