Henri Poincaré's student notebooks, 1870-1878
Scott A. Walter (1996)
Philosophia Scientiae
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Scott A. Walter (1996)
Philosophia Scientiae
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Šeděnková, Jana
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Summary: The -th order variational sequence is the quotient sequence of the De Rham sequence on the th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory...
Čomić, Irena (1999)
Novi Sad Journal of Mathematics
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Jana Musilová, Stanislav Hronek (2016)
Communications in Mathematics
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As widely accepted, justified by the historical developments of physics, the background for standard formulation of postulates of physical theories leading to equations of motion, or even the form of equations of motion themselves, come from empirical experience. Equations of motion are then a starting point for obtaining specific conservation laws, as, for example, the well-known conservation laws of momenta and mechanical energy in mechanics. On the other hand, there are numerous examples...
László Kozma (2011)
Communications in Mathematics
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