Abstract:
In the
framework of the theory of the gravitational field, which distinguishes between
particles and antiparticles, it is shown that even in the Early Universe its
disintegration occurred into areas consisting of baryons (worlds), and areas
consisting of antibaryons (antiworlds). It is hypothesized that astronomers
have observed worlds and antiworlds for fifteen years. They are, according to
the authors, objects that can be seen as relatively bright spots against the
almost uniform background of cosmic microwave radiation, having a
characteristic angular size of quarter degree.

Abstract:
In the
present article, we give a variant of the theory of gravity, which
distinguishes between particles and antiparticles. In this theory that called
two-signed gravity, in contrast to Einstein’s gravity, contributions from
particles and antiparticles in the tensor, which are the source of the gravitational
field are taken with different signs. In two-sign gravity, antiattraction exists
between particles and antiparticles. In the framework of two-signed gravitation,
it is naturally assume that Universe is not only electroneutral, but also
gravitationally neutral too. In present paper, we suggest model of homogeneous,
isotropic, uniformly expanding Universe. It is shown, what within framework of
that model, which does not contain any free parameters, well explained observed
dynamics of the Universe.

Abstract:
For each square complex matrix, V. I. Arnold constructed a normal form with the minimal number of parameters to which a family of all matrices B that are close enough to this matrix can be reduced by similarity transformations that smoothly depend on the entries of B. Analogous normal forms were also constructed for families of complex matrix pencils by A. Edelman, E. Elmroth, and B. Kagstrom, and contragredient matrix pencils (i.e., of matrix pairs up to transformations (A,B)-->(S^{-1}AR,R^{-1}BS)) by M. I. Garcia-Planas and V. V. Sergeichuk. In this paper we give other normal forms for families of matrices, matrix pencils, and contragredient matrix pencils; our normal forms are block triangular.

Abstract:
The reductions of a square complex matrix A to its canonical forms under transformations of similarity, congruence, or *congruence are unstable operations: these canonical forms and reduction transformations depend discontinuously on the entries of A. We survey results about their behavior under perturbations of A and about normal forms of all matrices A+E in a neighborhood of A with respect to similarity, congruence, or *congruence. These normal forms are called miniversal deformations of A; they are not uniquely determined by A+E, but they are simple and depend continuously on the entries of E.

Abstract:
We study the dynamics of homogeneous isotropic three-dimensional worlds filled with radiation (3R-worlds). It is shown that the dynamics of these worlds with the additional fourth large-scale spatial dimension leads to an important effect. At 3R-worlds the forces of repulsion appear. The source of these forces is the thermal energy of the radiation that fills these worlds. In the four-dimensional space, these forces are centrifugal. They operate in an external for 3R-world spatial dimension and stretch it. In the three-dimensional comoving coordinate system the centrifugal forces shows themselves as forces of repulsion. Standard Einstein's equations do not describe these forces. Written generalized Einstein's equation describing the dynamics of a homogeneous isotropic universe, taking into consideration the centrifugal forces of repulsion. We propose a cosmological model of the universe, based on these equations. This model apply to explain the observation data.

Abstract:
It is shown that there are seven types of solutions described in the framework of general relativity theory (GRT), the dynamics of empty homogeneous isotropic three-dimensional spaces. Solution of the equations of GRT, which describes the dynamics of a homogeneous isotropic universe, in the limiting case of vanishingly small effect of matter on the metric properties of space must go to one of them.

Abstract:
It seems likely that the generalized Einstein equations are not complete and only partly account for the effect on the Universe dynamics of that part of the energy of the space environment the change of which is purely geometric. There are offered the generalized Einstein's equations, describing not only the gravity forces, but also the cosmological forces of repulsion, which are geometric in their nature. The generalized Einstein equations are used to derive the cosmological Friedman's equations describing the dynamics of a homogeneous isotropic universe with the influence of cosmological repulsion forces. We propose a cosmological model of the universe based on these equations. Application of the model for explanation of the observations is considered here.

Abstract:
Work theme is the experimental approach to research of influence of wave making computer animation on course cognitive processes. In work the experiment spent by means of technology Flash in a network the Internet is described, its results are analysed.

Abstract:
The territorial cohesion concept became a key priority of the European spatial development policy due to the growing awareness of the role of geography in ensuring sustainable regional development. The article is focused on the way of adapting this concept to the Kaliningrad region as a foundation for a sustainable spatial development policy in the context of the EU and the Baltic Sea Region cohesion policy.

Abstract:
Non-traditional thermodynamics, applied to random behaviour associated with turbulence, mixing and competition, is reviewed and analysed. Competitive mixing represents a general framework for the study of generic properties of competitive systems and can be used to model a wide class of non-equilibrium phenomena ranging from turbulent premixed flames and invasion waves to complex competitive systems. We demonstrate consistency of the general principles of competition with thermodynamic description, review and analyse the related entropy concepts and introduce the corresponding competitive H-theorem. A competitive system can be characterised by a thermodynamic quantity - competitive potential --- which determines the likely direction of evolution of the system. Contested resources tend to move between systems from lower to higher values of the competitive potential. There is, however, an important difference between conventional thermodynamics and competitive thermodynamics. While conventional thermodynamics is constrained by its zeroth law and is fundamentally transitive, the transitivity of competitive thermodynamics depends on the transitivity of the competition rules. Intransitivities are common in the real world and are responsible for complex behaviour in competitive systems. This work follows the ideas and methods that are originated in analysis of turbulent combustion but reviews a much broader scope of issues linked to mixing and competition, including thermodynamic characterisation of complex competitive systems with self-organisation. The approach presented here is interdisciplinary and is addressed to a general educated reader, while the mathematical details can be found in the Appendices.