Vol 18, No 3.1 (2012)

In the given article the solution of the problem of finding of accurate constants by methods of summation of Fourier series is considered. The number of results belonging to the constants , the existence of parameters are also set forth.

The present work deals with quantile Pfaffian differential equations which are constructed using two-dimensional conditional quantiles of multidimensional probability distributions. As it was shown in [3] in case when the initial probability distributions have reproducible conditional quantiles this kind of Pfaan equations is completely integrable and the integral manifold is the conditional quantile of maximum dimension. In this paper we discuss properties of integral manifolds of maximum possible dimension for quantile Pfaffian equations which are not completely integrable. Manifolds of this type are described in terms of conditional quantiles of intermediate dimensions.

In this paper we study commutative Leibniz-Poisson algebras. We prove that a variety of commutative Leibniz-Poisson algebras has either polynomial growth or growth with exponential not less than 2, the field being arbitrary. We prove that every variety of commutative Leibniz-Poisson algebras of polynomial growth over a field of characteristic 0 has a finite basis for its polynomial identities. Also we construct a variety of commutative Leibniz-Poisson algebras with almost polynomial growth.

In this paper we investigate some properties including ultimate arithmetical periodicity of the function generated with the game ”Digital deletion”, and also the inverse function which is the Sprague-Grundy function for the misere form of rook game.

The phenomena related with shock wave propagation in variable cross-section channels filled with bubbles liquid containing hydrate-generative gas are considered. The possibility of intensification of hydrate-generative process due to the increasing of bubbles subdivision because of wave amplitude rising provided by channel geometry.

The paper presents the experimental research of distribution of nine С1–С5 aliphatic monoatomic alcohols of normal and isomeric structure in a two-phased heterogenous system ”formation water–n-dodecane” using gas-chromatography method for the purpose of a choice of the most effective tracers for the characterization of filtrational streams and oil saturation when waterflooding. There were defined distribution constants K_с in interval of temperatures 25–75С on which basis appeared the conclusion that alcohols С1–С3 can be used as water (non-partitioning) tracers whereas alcohols С4–С5 approach for a role of partitioning tracers.

The results of longstanding investigation of developing and natural testing of devices for the spherical clouds creation from vaporized alkaline and alkaline earth metals azides in the upper earth atmosphere are given in the following article.

Adamantyl-containing tripeptides with potential antiviral activity are synthesized. Applying methods of computational chemistry hydrophobic properties were estimated. Search of the most persistent conformers was made and the analysis of intramolecular hydrogen bonds to these peptides was performed.

The comparative analysis of postpyrogenic processes development in natural pine forests in Zhigulevsky nature reserve and anthropogenic pine forests in Krasnosamarsky forest is given in the article.

Seasonal and annual feeding dynamics of round goby Neogobius Melanostomus in Saratov Reservoir were investigated. During the research period food basis consisted of mollusks of genus Dreissena, other groups of zoobenthos were represented insignificantly. Seasonal changes of food spectrum and feeding objects ratio were caused by their biological development.

It is established hat changing of parameters of student’s electrocardiogram during the exam are shown by shortening of the intervals RR, QT, PQ, and the complex QRS, thus expressiveness of reactions dominates in sample of lefthanders and ambidexters. The values of wave parameters of heart rate variability, including spectral power of heart rate fluctuations in different frequency ranges, increase in left-handers, while ambidexterity and right handed down. The values of statistical indices of HRV, including SDNN, RMSSD and mode cardio intervals in students during the exam are reduced, and also to a greater extent, and ambidexterity for lefties. These changes corresponded to increasing trend of the index and the activity coefficient Baevsky sympathetic nervous system, indicating a greater intensity of regulatory mechanisms in individuals with left profile of motor domination.

The toxicity and cytogenetic activity for Allium fistulosum were investigated for six imidazole derivates 4-(1-Н-benzotriazole-1-ilmetyl)phenol, 1-benzylbenzotriazole, 1-[4-(benzyloxy)benzyl]-1H-benzotriazol, 1-[2-(benzyloxy)benzyl]-1H-benzotriazole, 2-(1-Н-benzotriazole-1-ilmetyl)phenol, 1-[4-(3-fenolpropoxy)benzyl]-1-Нbenzotriazole. The substances with OH- and benzyl groups in para-position were more toxic. Depending on their molecular structure the substances blocked the proliferative activity on different mitosis stages. All the substances demonstrated mutagenic activity. The role of molecular structure in biological answer development is discussed in the article.