Inverse problems of symbolic dynamics

This paper reviews some results regarding symbolic dynamics, correspondence between languages of dynamical systems and combinatorics. Sturmian sequences provide a pattern for investigation of one-dimensional systems, in particular interval exchange transformation. Rauzy graphs language can express many important combinatorial and some dynamical properties. In this case combinatorial properties are considered as being generated by substitutional system, and dynamical properties are considered as criteria of superword being generated by interval exchange transformation. As a consequence, one can get a morphic word appearing in interval exchange transformation such that frequencies of letters are algebraic numbers of an arbitrary degree. Concerning multydimensional systems, our main result is the following. Let P(n) be a polynomial, having an irrational coefficient of the highest degree. A word $w$ (w=(w_n), n\in \nit) consists of a sequence of first binary numbers of $\{P(n)\}$ i.e. $w_n=[2\{P(n)\}]$. Denote the number of different subwords of $w$ of length $k$ by $T(k)$ . \medskip {\bf Theorem.} {\it There exists a polynomial $Q(k)$, depending only on the power of the polynomial $P$, such that $T(k)=Q(k)$ for sufficiently great $k$.

Explosive Materials Combustion by Heated Wires

The knowledge of ignition parameters of explosive materials (EM) presents both the definite scientific interest for developing the ignition kinetics models and the practical interest from the point of view of their danger assessment. The present investigations, as opposed to the known technique for EMs ignition temperature determination, have been performed by using the model explosive material samples of high density which have been produced on the basis of HMX and TATB. Applying the technique of firing ballistic powders by a heated wire, the EM ignition temperature depending on the time (rate) of heating has been investigated. The technique makes it possible to calculate heat pulses and heat flows leading to ignition. By decreasing the heat flow, the time for the EM heating up to ignition increases and temperature falls thereby approaching the critical value, characterising the danger limit under accidents associated with heating. The ignition of EM based on HMX and TATB takes place in a different manner. With the EM on the basis of HMX and with great heat flows. The ignition beginning from the surface in the form of flash is typical but when achieving the critical parameters, the heated layer flash takes place that increases the probability of the explosion realisation. EM based on TATH always ignite in the form of combustion from the surface, independent of the heat flow that points to the higher extent of its safety. These data correlate well with the higher parameters of its ignition

Main directions digitalization in the higher education in the world and Russia (based on the example of physical culture and sports)

On the basis of the analysis of scientific research, we have made an attempt to determine the main directions of the development of digitalization in the system of higher education in the field of physical culture and sports in Russia for the next decade. In our opinion, four main areas of use of modern digitalization in physical culture and sports can be distinguished: in the educational process; in the process of sports training; in the process of competition; in health improving physical cultur

Issues of regulating childrens motor activity in modern preschool education

The objective of the research is to determine the volume and intensity of motor activity of children aged 5-6 years, identify existing problems of motor activity at this age and compare the results with age norm

Momentum-resolved spectral functions of SrVO3_3 calculated by LDA+DMFT

LDA+DMFT, the merger of density functional theory in the local density approximation and dynamical mean-field theory, has been mostly employed to calculate k-integrated spectra accessible by photoemission spectroscopy. In this paper, we calculate k-resolved spectral functions by LDA+DMFT. To this end, we employ the Nth order muffin-tin (NMTO) downfolding to set up an effective low-energy Hamiltonian with three t_2g orbitals. This downfolded Hamiltonian is solved by DMFT yielding k-dependent spectra. Our results show renormalized quasiparticle bands over a broad energy range from -0.7 eV to +0.9 eV with small ``kinks'', discernible in the dispersion below the Fermi energy.Comment: 21 pages, 8 figure

Comparative study of correlation effects in CaVO3 and SrVO3

We present parameter-free LDA+DMFT (local density approximation + dynamical mean field theory) results for the many-body spectra of cubic SrVO3 and orthorhombic CaVO3. Both systems are found to be strongly correlated metals, but not on the verge of a metal-insulator transition. In spite of the considerably smaller V-O-V bond angle in CaVO3 the LDA+DMFT spectra of the two systems for energies E<E_F are very similar, their quasiparticle parts being almost identical. The calculated spectrum for E>E_F shows more pronounced, albeit still small, differences. This is in contrast to earlier theoretical and experimental conclusions, but in good agreement with recent bulk-sensitive photoemission and x-ray absorption experiments.Comment: 15 pages, 6 figure

State of the immune system in women using the “Provag” probiotic

Lactobacilli are  widely used  in clinical  practice as probiotics, biologically  active  additives  and probiotic products for functional nutrition. Some  probiotics can  be considered as bacterial vaccines  due  to induction of immune response, accompanied by production of specific antibodies. The aim of the present study was to evaluate  the state of cellular and humoral immunity in women  by using probiotic strains of lactobacilli. The  study  included 31 healthy  women  aged  25-45  years.  As a source  of probiotic lactobacterial complex, we used  the  “Provag” preparation (RU  77.99.11.003.E.003746.02.11 of 11.02.2011, 1 capsule  contains 109 Lactobacillus  gasseri 57C,  Lactobacillus  fermentum  57A и Lactobacillus  plantarum  57B).  The  drug  was used for 30 days, at a rate  of one  capsule  per day. The  immune system was examined twice: before  administering the drug and after 30 days of treatment. The study of blood  lymphocyte populations and subpopulations was performed by flow cytometry using direct immunofluorescence technique. The concentration of IgA, IgM, IgG in blood serum was determined using enzyme  immunoassay. To determine specific antibodies, we used passive hemagglutination reaction with erythrocyte diagnosticum. The complex of probiotic lactobacilli Lactobacillus gasseri, Lactobacillus  fermentum  and  Lactobacillus  plantarum corresponding to the “Provag” preparation was used as a source  of antigen. It has been revealed  that  the number of T and B lymphocytes in peripheral blood increased after  30 days  of treatment with  the  probiotic preparation “Provag” in  healthy  women. Elevated contents of T cells was due to the T helper  cell fraction. Increased levels of T helpers and B lymphocytes were associated with stimulation of humoral immunity, as evidenced by increasing concentration of IgA and  IgG in blood  serum.  By means  of passive hemagglutination reaction, we have found  that  90% of healthy  women showed increased concentrations of specific IgA in blood after 30 days of treatment with “Provag” preparation

Problems of creation of social experience in motor games of children aged 5-7 years

The objective of the study is to identify the level of recreation of social experience by children of 5-7 years old in motor game