Vol 487, No 1 (2019)

We prove an exact integral inequality by means of which one interpolational Sobolev inequality is derived. One generalization of logarithmics Sobolev inequality based on interpolational Sobolev inequality is offered.

An asynchronous threshold network is a network of threshold elements (agents) that operate in continuous time. The agents can be in one of two states: active or passive. An active agent generates a signal of certain sort (color) and power. This signal is received by all agents that have inputs of the same color. An agent has a potential that changes under exciting or inhibiting effects of signals; it is active only if its potential exceeds a threshold. Changes in agent activity are events that divide a continuous timeline into discrete time steps. The dependence of the behavior of an autonomous network on the values of its parameters is studied.

Within the framework of the guaranteeing approach to estimation, a new formalization for the accelerometer unit calibration problem is proposed. This problem reduces to the analysis of special variational problems. Based on the new formalization the scalarization method is justified; this method is widely used to calibrate the accelerometer unit. In particular, the limit of its applicability is determined.

The transmission spectra of a single crystal, artificial and natural fluorite ceramics were recorded in the areas of material transparency in THz and the average IR range at room temperature. In the region of high absorption, the reflectance spectra were measured. Differences in the optical characteristics of a single crystal and optical ceramics are insignificant.

The flow around the yawed plate in the regime of strong interaction is considered in the case when the pressure at its trailing edge is not constant, but changes along the transverse coordinate. It is shown that in the case of large transverse gradients of the induced pressure, the type of expansions of flow functions in the vicinity of the leading edge changes significantly and the third term of the expansions should be taken into account.

Peculiarities of porous silicon layers formation during electrochemical etching of p-type silicon were studied. Principal divisions of pore formation mechanisms in n-type and p-type of silicon were demonstrated.

The synthesis of Boc-Gly-Pro-Dox, Boc-Gly-Pro-DOPA, Boc-Gly-Pro-Srt and their deuterated analogs was carried out. It was shown that these condensations proceed with side reactions, which could be minimized by optimizing the conditions for the synthesis. The most universal approach to the synthesis of Boc-Gly-Pro-Dox, Boc-Gly-Pro-DOPA, Boc-Gly-Pro-Srt and their deuterated analogs is condensation of Boc-Gly-Pro or Boc-Gly-[²H]Pro with amino groups of dopamine, serotonin and doxorubicin. It was found that for the introduction of hydrogen isotopes in ΔPro, it is advisable to hydrogenate its aqueous solution, followed by condensation of the reduced proline with Boc-GlyOSu. Mass spectrometry was used to determine the content of isotopomers in deuterated products.

For the first time, thermally coupled SHS processes in granulated mixture were experimentally investigated. Mixtures of Ni+Al and Ti+C granules differ in combustion rate and temperature. It has been established that ignition of Ni+Al acceptor granules occurs in the combustion front. It is shown that the use of granular mixtures allows to obtain combustion products in the form of easily destructible sample. Release of the target product turned possible, though the melting point of the product of acceptor mixture interaction is less than the adiabatic temperature of combustion.

A brief tectonic and geological overview of the fore-Urals and fore-Novaya Zemlya belt of oil and gas accumulation and the results of studying of the conditions for hydrocarbon deposits formation in uplift-thrust structures of its eastern side are presented. It is shown that the early stages of the belt formation are associated with Paleozoic subduction and obduction processes occurring in the transition zone between the Paleo-European continent and Uralian paleo-ocean located eastward (in modern coordinates) the continent. The intensive thrust-folded dislocations of the western verergency are fixed into the eastern side of the fore-Urals and fore-Novaya Zemlya belt of oil and gas accumulation. We associate their formation with the continental collision that occurred during the closure of the Uralian paleo-ocean at the Latest Paleozoic, and in the most northern segments of the belt, probably, at the Earliest Mesozoic. The structural paragenesis of the eastern side of the fore-Urals and fore-Novaya Zemlya belt of oil and gas accumulation includes uplift-thrusts and thrusts, as well as various scaled structural units formed under the conditions of the latitude compression.

The analysis of niobium metallogeny during the whole geological history was conducted on the basis of data on 45 largest niobium deposits distributed globally. All of them belong to one of three metallogenic types: alkaligranitic, foidic or carbonatitic. The distribution of their resources on the scale of geological time is distinctly discrete. The deposits were formed from the Middle Paleoproterozoic to the Cenozoic. The Rodinian, Pangean and Amasian supercontinent cycles are the most productive ones in terms of accumulated niobium resources. These three cycles stand out in a leading role of the deposits related to carbonatite complexes.

Transverse petrogeochemical zoning in the location of volcanites of Shadaronsky (J_2-3) and Mulinsky (J_2-3) series, characteristic of volcanic arcs, has been revealed in the Eastern Transbaikalia. Volcanites of the tholeiitic and calc-alkaline series are developed in the frontal zone of the volcanic arc, in the suture zone of the Mongolo-Okhotsk suture (MOS), in the rear zone of the MOS - volcanites of the calc-alkaline series. The volcanites of the frontal and rear parts differ in their petrogeochemical composition, in the degree of oxidation of iron and in the distribution of rare earth elements (REE). These differences are characteristic of the volcanic arcs of the transition zones from the ocean to the continent. Vulcano-plutonic structures of the frontal zone of MOS produce gold mineralization, the rear zone of MOS - polymetallic mineralization.

An overlapping (postvolcanic) ore mineralization of volcanic rocks building up submarine edifices in the Sea of Japan has been semi-quantitatively and qualitatively evaluated for the first time. The study considers the main types of volcanic rocks (marginal continental, post-rift, and alkali ones) and focuses primarily on mineral phases formed in them by nonferrous, noble, and rare metals. The most enriched are post-rift rocks. That is due to the initial magma’s fluid saturation, as well as long-lived volcanic and postvolcanic processes.

The first isotope-geochemical and geochemical characteristics (the “TerraneChrone” method) of previously dated (U-Pb, LA-ICP-MS) detrital zircons from Ordovician sandstones (borehole Ordovician-2, Sol-Iletsk block) are presented. A comparative analysis of the characteristics of the studied zircons and the corresponding characteristics of the complexes composing the possible feeding provinces is carried out.

The results of the expeditionary studies of the mercury behavior in the water of small rivers of the Onega Bay basin of the White Sea are presented. Priority forms of mercury migration have been identified and the forms of its location along the trunk of the Kyanda River have been calculated. The relationship between the content of various forms of mercury on the one hand and salinity, pH, Eh waters on the other has been analyzed. The influence of hydrological phases on the transformation of inorganic forms of mercury has been revealed. Differences in the levels of content of dissolved mercury and its connection with the salinity in the extuar areas of the marginal filters of the Subarctic rivers in natural conditions and the environment of anthropogenic impact were established.

According to the results of theoretical and experimental analysis of the characteristics of the propagation of acoustic oscillations in the respiratory system, it is necessary to determine the resonant frequency of the respiratory tract to increase the vital capacity of the lungs by opening back-up alveoli by acoustic stimulation of the respiratory system, and then to affect the respiratory system maximum sound absorption range (at a level of ±3 dB from the maximum value of the absorption coefficient).

An ecological and physiological study of Common Eider (Somateria mollissima) nesting on the coast of Eastern Murman was carried out. The species composition of helminthofauna of birds and the quantitative parameters of the infection were studied. It is established that trematodes of the genus Microphallus, three species of cestodes - Lateriporus teres (Cestoda: Dilepididae), Fimbriarioides intermedia (Cestoda: Hymenolepididae), Microsomacanthus diorchis (Cestoda: Hymenolepididae) and one species of acanthocephalan - Polymorphus phippsi (Palaeacanthocephala: Polymorphidae) parasitized in the small intestine of Common Eider. It is shown that the activity of proteases decreased at the locations of F. intermedia and M. diorchis in the intestines of birds, with infestation with the acanthocephalan P. phippsi, on the contrary, increased. The activity of glycosides in the intestinal mucosa was reduced in comparison with the control values by infection cestodes M. diorchis. There was an increase in the values of hematological indices in infected individuals relative to the control parameters.