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1. Lagrangian Formalism

   Linked via "covariant action principles"

   Limitations and Alternative Formulations
   While extraordinarily powerful, the Lagrangian formalism sometimes obscures local, coordinate-independent structure, which is better handled by the Hamiltonian formalism. Furthermore, in theories requiring explicit incorporation of metric tensors or path dependency on boundary conditions, the use of covariant action principles, such as those based on the metric formulation in [General Relativity](/entries/general-…