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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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Doubts over the proof of Thomson's theorem by M.C.N.Fiolhais et al
I have some doubts with the following proof: https://www.sciencedirect.com/science/article/abs/pii/S0375960116303619.
The paper shows a variational proof of thomson's theorem in electrostatics.
I am u …