The formula of the density of the matter flow in the non-stationary gas-liked system of many particles with regard for the non-potential term is considered. The analytical formulae of the components of the curl of the density of the matter flow are obtained. The analysis and graphical presentation of the obtained formulae are performed.

Consider a statistical model of transient polarization of the dielectric by theory Langevin Debye and works Mayer Meyer. To get formulas for polarization substance, expression of the dielectric constant and refractive index. A variant of the model with the restriction of the rotational mobility of the kinetic units of the dipole environment and modification of these formulas is found for this case.

Making solutions of tetramethylammonium hydroxide (TMAH) and tetra-n-butylammonium hydroxide on the ion-exchange resin is discussed. Optimizing the ratio of the used resins number and the degree of conversion of initial concentration of Haltetraalkylammonium to obtain high purity target hydroxides solutions is considered.

A mechanism of dyes molecules orientation by laser radiation is proposed that takes into account anisotropy of molecular optical polarizability. A dependence of dye molecules energy on polarizability anisotropy, order parameter, quantity of molecules in a cluster dyes, strength of light wave electrical field, light beam incidence angle is derived.

In the paper geometric grounds for instant dissemination of signals in space using Godel Universe quantum information theory are discussed. the tensor characteristics of space are explored, a system of ordinary differential equations to describe geodesics lines is obtained.

An analytic solution to the problem of the Couette flow for molecular gases is constructed using the kinetic approach in the isothermal approximation. Structures of mass speed of gas and vector of a stream of heat in the channel are constructed. The mass and heat fluxes falling to the unit of channel width as well as the nonzero component of the viscous stress tensor are calculated. The results are compared with analogous data obtained for unstructured one-nuclear gases.

A statistical mechanical approach to study surface diffusion by lattice-gas models is presented. General formulas for the coverage dependences of chemical and jump diffusion coefficients are discussed at low temperatures and in the local equilibrium limit. An application to a specific two-dimensional model is considered.

Illite samples with different content of fly-ash were investigated at room temperature after firing at temperatures from an interval of 25 1100 °C. The measurement of sound velocity (SV) and Young modulus (YM) were performed by the impulse excitation method based on the free flexural vibration. To determine SV and YM is necessarily to know the bulk density and dimensions of the sample as well as resonance frequency. It was found out that mass loss increases with the firing temperature and reaches up to 8 % depending on the fly-ash content. The volume changes of the samples were negligible up to 500 °C. The significant changes of the volume up to 5 % were observed for temperatures higher than 900 °C. Significant changes of SV and YM were observed for temperatures over 900 °C, which is connected with sintering of the sample.

Today a new data, such as traces of the function on a system of lines or planes, are considered in mathematical models in solving of problems of three-dimensional computer tomography, digital signal processing and in many others. In this article cubature formula of the calculation of high oscillating integrals is presented by using operators of spline-interflatation in the case when information about function is set of values on the perpendicular flats. The estimation of error of approaching of the cubature formula is getting on Gelder’s class of functions. It is proved that this evaluation can also be obtained through the error estimates corresponding quadrature formulas.

Is considered the modern stage of informatization of education in Turkey. Describes the purpose and requirements to the results of the project FATIH. Analyzed the characteristics of the hardware, the software and methodical provision of the training process in the framework of the project.