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generalized coordinates
mathematics
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Lagrange’s research
- In Joseph-Louis Lagrange, comte de l’Empire
…number of particles, or “generalized coordinates.” It also led to the so-called Lagrangian equations for a classical mechanical system in which the kinetic energy of the system is related to the generalized coordinates, the corresponding generalized forces, and the time. The book was typically analytic; he stated in his…
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Lagrangian and Hamiltonian dynamics
- In mechanics: Lagrange’s and Hamilton’s equations
…a smaller number of independent generalized coordinates (written symbolically as q 1, q 2, . . . q i , . . . ) and generalized velocities (written as q̇ 1, q̇ 2, . . . q̇ i , . . . ), just as, for the rigid body, 3N…
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