IKBFU's Vestnik

2010 Issue №10

Normal generalized affine connection associated with the Grassman-like manifold of centred planes

Abstract

In projective space a Grassman-like manifold of centred planes is considered. The normal affine connection, associated with the manifold, is set in generalized fibering. Field of the affine connection object defines torsion and curvature tensors contained one elementary and one simple subtensor every. A canonical case of normal generalized affine connection is considered.

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Mathematical model of under control system describing by homogeneous Markov process

Abstract

Complex systems are investigated by partitioning of set of conditions into subsets of under control and not under control conditions. Probabilities of the events connected with stay of casual process in these sets, and probabilities of transition from one subset to another are considered.

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