Lagrangian

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The Lagrangian of a dynamical system is a function used to describe the dynamics of that system. In classical mechanics, the general definition of the Lagrangian is a function used to describe the difference between the kinetic and potential energies of a dynamical system:

L = TV

where T is the kinetic energy and V is the potential energy.

The Lagrangian of a system can be used in the Euler-Lagrange equation in order to derive the equations of motion for the system.

The general idea behind the Lagrangian is to divorce the dynamical system from any specific coordinate system.

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