Titlebook: Global and Stochastic Analysis with Applications to Mathematical Physics; Yuri E. Gliklikh Book 2011 Springer-Verlag London Limited 2011 G

prosperity

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

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

Acclaim

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

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

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.