prosperity 发表于 2025-3-30 08:28:29

Mean Derivatives in Linear Spaceselson, ., .). This notion was first introduced by E. Nelson (., ., .) for the needs of so-called stochastic mechanics (see Chapter 15) but it turns out to be useful in some other problems of mathematical physics, economics, and elsewhere.

MAZE 发表于 2025-3-30 13:20:40

Hydrodynamics,.) with kinetic energy given by the (weak) Riemannian metric. Here we analyze those systems which are naturally related to certain problems of hydrodynamics. Note that according to the Lagrangian formalism, a trajectory of such a system gives the flow of a fluid.

容易做 发表于 2025-3-30 17:52:52

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Acclaim 发表于 2025-3-30 23:13:16

Kurzes Lehrbuch der Physiologischen ChemieIn this chapter we survey some notions in the theory of set-valued mappings which will be used below for the description of complicated mechanical systems such as systems with discontinuous forces, with control, etc.

CUR 发表于 2025-3-31 04:41:21

Wolfgang Bühler,Hermann Gehring,Horst GlaserLet . be a finite-dimensional manifold. Recall that on the manifold . there is a vertical distribution . (a sub-bundle of the second tangent bundle .) whose fibers consist of vectors tangent to the fibers of .. The vectors belonging to . are said to be . (see Section 2.1).

CRATE 发表于 2025-3-31 05:43:49

Der gesunde Mensch (physische Hygiene),The Newton-Nelson equation is a version of Newton’s law formulated in terms of mixed symmetric second order mean derivatives. It describes the motion of a quantum particle in the framework of stochastic mechanics.
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查看完整版本: Titlebook: Global and Stochastic Analysis with Applications to Mathematical Physics; Yuri E. Gliklikh Book 2011 Springer-Verlag London Limited 2011 G