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 $k$.

The Culturogenesis of the Historical Turns

The object of the study is the culturogenesis of the historical turns, which the author defines as the ‘shifts in history’, that is, the sharp, seemingly unexpected changes in the vectors of historical development. Historical turns are usually associated with the changes in political system or political development that induce radical transformations in the lifestyle, economic makeup, economic and international situation of the country, ideology and mentality of the society. These complex sociocultural transformations lead to the emergence of global internally contradictory hybrid culturogeneses that become the basis for international unions and alliances, as well as for local and global conflicts.     Keywords: historical turns, culturogenesis, cultural and historical paradigm, cultural and historical shift, socio-cultural explosion, cultural mechanism

ВИЗАНТИЙСКИЕ ИСТОКИ РУССКОЙ ДУХОВНОСТИ

The article investigates into the problem of Byzantine culture influence which is attempted to be traced in the formation of Russian culture and literature. In the article there are considered the attitudes towards Byzantine culture on the part of the 19th century Russian culture various trends representatives (such as ‘the westernizers’ and ‘the Slavophiles’); there are also exposed both the genetic ties of Russian culture with Byzantine aesthetic ideas and those of Byzantine version of Christianity with the bunch of Russian classical literature ideas (for example, of such writers as A. Pushkin, N. Gogol, F. Dostoyevsky, N. Leskov, L. Tolstoy, etc). As the result of the study the author comes to the conclusion which could be worded as follows. The question of the ‘Byzantine heritage’ significance for the development of a certain national culture used to be topicalised in the transitional, crisis periods of national histories when the problem as to what further historical way for the nation to choose sprang up

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

The level of somatic health, sports specialization and qualification of an athlete as indicators of intermediate selection in the mixed martial arts

This article presents the results of experimental research to identify high-priority types of martial arts whose representatives successfully implement their skills in mixed martial arts, as well as the results of the study of somatic healt

Analysis of the Usage of Principles of Circular Economy in the Industry of Thermal Insulation Materials (Using the Example of “Rockwool Group”)

The subject of the study. Lean manufacturing and closed-loop economics processes implemented in “Rockwool Group