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Generalizations of Noether’s Theorem in Classical Mechanics

Generalizations of Noether’s Theorem in Classical Mechanics

In this paper, a review is presented of various approaches to the generalization of the version of Noether’s theorem, which is presented in most textbooks on classical mechanics. Its motivation is the controversy still persisting around the possible scope of a Noether-type theorem allowing for velocity-dependent transformations. Our analysis is …