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Legendre transform in mechanics

For a regular Lagrangian,

p = \partial L / \partial \overset{q}{˙}

and

H = p \overset{q}{˙} - L

. Regularity means the velocity Hessian is invertible.

Table of contents 51 1
- Singular Legendre transform of a degree-one velocity Lagrangian Legendre transform in mechanics 33

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