A brief review of a set of ideas which relate gravity, entropy and quantum entanglement is given. The key idea is that gravity is an emergent or induced, in Sakharov’s sense, phenomenon and it is holographic, as has been suggested by t’Hooft. The low-energy physics is described by effective equations of some mi- croscopical degrees of freedom. It is important that the entanglement entropy of these microscopic constituents across a surface is given by the Bekenstein-Hawking entropy formula. It means that all microscopic details are encoded in macroscopic low-energy constants. It is very similar to what happens in thermodynamics so that gravity, by following the Verlinde suggestion, may be interpreted as an entropic gravity. An explicit realization of this idea appears in a holographic description of entanglement entropy in conformal field theories.

Conditions on the boarder of viscous liquid and transparent surface in respect with the inertial effect of a liquid in a porous medium is in question. This problem has been considered in this article in terms of a revolving transparent disc on a surface of viscous incondensable liquid . Given problem is a generalization of a Karman’s classical problem about the revolving of a transparent disc Under the assumption that the flow in the porous disk is described by Brinkman, obtained automodel solution of the problem.

This article deals with the problems with critical point fixed leakage of viscous liquid on the transparent plane in flat and axisymmetric cases situated perpendicular to the flow. In such flows tangential component of the field of speed of viscous liquid in critical points on the surface of transparent half-spa ce change. Obtained automodel solution and the considered model it is shown that the boundary condition on the boundary between the liquid and the environment is a condition Beavers-Joseph-Saffman.

This work is devoted to research of dielectric properties of liquid crystals for the purpose of creation, on their basis, temperature sensors. Distinctive feature of such sensors is compactness, universality and high precision of measurement. Novelty of this research work is caused by a new technique of carrying out experiment. Object of research is reaction (response) of NLC of materials at impact of temperature on them. For achievement of this purpose the combined cells with NLC a material which were affected by temperature were created. During research it became clear that the offered structure with the combined orientation of NLC gives the chance to form signals of high and low level at temperature change, and as opportunity to create devices for control and regulation of uniformity of distribution of temperature of NLC of the panel and other electronic devices.

The one-dimensional kinetic equation with collisional integral type BGK (Bhatnagar, Gross and Krook) is constructed. Frequency of collisions of molecules affine depending on the module of molecular velocity is considered. Laws of preservation of number of particles, momentum and energy at construction equation are used. Separation of variables leads to the characteristic equation. The system of the dispersion equations is entered. Its determinant is called as dispersion function. It is investigated continuous and discrete spectra of the characteristic equation. The set of zero of the dispersion equation makes the discrete spectrum of the characteristic equation. The eigen solutions (of the kinetic equation) correspond to the discrete spectrum are found. The solution of the characteristic equation in space of the generalized functions leads to eigen functions correspond to the continuous spectrum. Results of the spent analysis are formulated in the form of the theorem about a structure of the common decision of the entered kinetic equation.

The possibility of variations of the dimension of fractal sets. Constructed fractals, of Hausdorff-Besicovitch dimension topological exceeds by more than one.

The article discusses the issues associated with the introduction of the individual rating of the student, his influence on the development of incentives training, development of educational programs on the basis of the assessment differentiation of training.