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Within the framework of classical mechanics the influence of the planets in the solar system to the precession of the orbit of Mercury is investigated. It is shown that the average offset of the perihelion of mercurys orbit computed within the flat limited tasks is 556,5 angular seconds per century and coincides with the observation data with relative accuracy of 2,5%. Incomplete overlap between the computed average offset and observations can be explained by the presence in observations offset oscillatory components with a total amplitude up to 20 angular seconds and periods from several years to several decades.

A model was constructed for the reconstruction of the initial stage of crystallization of binary alloys as a nonequilibrium phase transition, the mechanism of which is diffusion stratification. Numerical experiments were performed. Self-excitation of a homogeneous state by the edge control melt cooling condition.

New equations for Laplace transform inversion are obtained. The equations satisfy the causality principle. The impulse response of a channel is determined in order to analyze dispersion distortions in inhomogeneous media. The impulse response excludes the possibility that the signal exceeds the speed of light in the medium. The transmission bandwidth, the angular spectrum, and the Doppler shift in the ionosphere are computed.

Analysis of diamond grains from placers in the northeastern Siberian craton shows that some diamond varieties (round dodecahedra, varieties II and V-VII in the classification of Orlov) may originate from Precambrian sources. The Precambrian diamonds have different sedimentation histories. Namely, diamonds of varieties V-VII are most strongly rounded though being the most resistant to wear. Therefore, they should have the longest history of dispersal and transport, and thus should be derived from the oldest primary deposits.

The represented experimental data on the Ta and Nb contents in acidic magmatic melts of different compositions, when dissolving pyrochlore and microlite at T = 650850 C and P = 100400 MPa, make it possible to obtain quantitative characteristics to create physico-chemical models of the genesis of TaNb deposits. At pyrochlore dissolution in granitoid melts at P = 100 MPa, the highest Nb content (0,71,9 wt.%) is obtained in alkaline melts, it decreases to 0,060,38 wt.% in sub-aluminous melts, and then slightly increases to 0,110,41 wt.% in high-alumina melts. An increase in temperature increases the dissolution of pyrochlore, and an increase in pressure decreases its. In high-alumina granite melts the pyrochlore is unstable. At the microlite dissolves with the increase in the alumina-rich melt, the Nb/Ta ratio in the melt increases approximately doubles.

New fossils of Leporidae from the Lower Pleistocene deposits of the Taurida Cave in the central Crimea (Belogorsk district, Zuya village) are referred to Hypolagus brachygnathus (Kormos, 1930) and Lepus sp. Cooccurrence of Hypolagus and Lepus in the Early Pleistocene of Crimea is significant in terms of the question of the first appearance of Lepus in Europe, as well as the hypothesis of the competition with hares as one of the possible causes of extinction of Hypolagus.

For the first time, the electrodeposition of platinum from a carbon dioxide-based supercritical electrolyte with the addition of acetonitrile as a co-solvent and tetrabutylammonium tetrafluoroborate salt was studied. Dimethyl (1,5-cyclooctadiene) platinum is used as a precursor. It has been established that as a result of potentiostatic electrodeposition, not a continuous film is formed, but agglomerates of densely packed platinum nanoparticles.

ENY2 protein of Drosophila melanogaster was previously discovered and characterized in our laboratory [1]. It was found that ENY2 is a subunit of several multiprotein complexes and connects various stages of gene expression [2-4]. This work is devoted to studying the interaction of ENY2 with RNA helicase MLE. This interaction was confirmed by independent methods. Data were obtained indicating that this interaction is conserved in evolution and is important for the functioning of MLE in both sexes.

The Osborne Plateau is a large intraplate elevation in the eastern part of the Indian Ocean, which has been poorly studied by geological and geophysical methods. In cruise SO258/1 on RV Sonne, were collected new data with Parasound seismic profiling and multi-beam echo sounder survey. Fractures in the sedimentary cover, which extend to the bottom surface, indicate on high neotectonic activity in the area of the Osborne Plateau. It can continue up to the present, as well as in the adjacent segment of the Ninetyeast Ridge, where strong earthquakes are recorded. Two reflectors in the upper part of the sedimentary cover mark global regressive changes in the World Ocean level at the boundary of the Miocene / Pliocene and Pliocene / Pleistocene. The reflector in the sediments at the boundary of the Lower / Upper Pliocene is associated with a change in the regional hydrodynamic regime at the time in the eastern Indian Ocean. The rocks dragged on the Osborn Knoll are identical to volcanic rocks of the Ninetyeast Ridge, confirming their assumed genetic similarity, but they are more identical to basalts of the Kerguelen plateau. Extremely modified vitroclastic tuffs appear to have been formed as a result of explosive volcanic eruptions of alkaline basalts or foidites in subaeral or relatively shallow water conditions and represent the most recent eruption in the region.

This report shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loops systems. The development of analogs of classical stability criteria for the cylindrical phase space made it possible to obtain analytical estimates of the lock-in range for third-order system.