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Variational calculus is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find extrema of functionals: mappings from a set of functions to the real numbers. The archetype application in physics is Lagrangian mechanics, seeking extrema of action functionals.

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Simple Lagrangian problem

I am struggling with some very simple Lagrangian problems and I think this is because I am missing something very stupid. I have to proof that particular Lagrangians lead to particular equations using …
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