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HOW IS DEGREES OF FREEDOM CHOOSEN
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DOF is a term used in many different area like electronics, robotics, mechanics or I think even chemistry. Specify you question!
I am going to assume you mean physics. Degree of freedom, in a more general sense, is the number of generalized coordinates you have in a Lagrangian/Hamiltonian, so it determines how many equations (trivial or not) you can have for a system.
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