Vol 20, No 7 (2014)

Uncertainty constants for coherent states obtain irreduciable value. But problems of interpolation and orthogonalization requires the original system of functions to move to linear combinations. Localization of linear combinations of coherent states subsystems which have been set on a rectangular lattice are studied. Formulas for uncertainty constants of these combinations in general case and at additional assumptions on coefficients are received. Formulas for uncertainty constants of linear combinations of uniform shifts of Gauss function in general case and at additional assumptions on coefficients are received. Results of numerical calculations are given for the interpolating scaling functions constructed for uniform shifts of Gauss function

In this article, diffusion-wave equation with fractional derivative in Rieman- n-Liouville sense is investigated. Integral operators with the Write function in the kernel associated with the investigational equation are introduced. In terms of these operators necessary non-local conditions binding traces of solution and its derivatives on the boundary of a rectangular domain are found. Necessary non-local conditions for the wave are obtained by using the limiting properties of Write function. By using the integral operator’s properties the theorem of existence and uniqueness of solution of the problem with integral Samarski’s condition for the diffusion-wave equation is proved. The solution is obtained in explicit form.

We prove that any variety of associative algebras with weak growth of the sequence {c_n(V)}_{n\geq 1} satisfies the identity [x_1, x_2][x_3, x_4] . . . [x_2_{s-1}, x_{2s}] = 0 for some s. As a consequence, the exponent of an arbitrary associative variety with weak growth exists and is an integer and if the characteristic of the ground field is distinct from 2 then there exists no varieties of associative algebras whose growth is intermediate between polynomial and exponential.

The boundary value problem with relations to the theory of flow with non- linear hardening in derivatives stress and strain tensors in the parameter loading is formulated to estimate local mechanical properties in the vicinity of crack tip of mode of loading for plane strain of elastic-plastic material at the stage of quasi-static growth. Complete solutions are obtained by the method of asymp- totic decompositions. The redistribution of stress and strain fields in the plastic region at quasi-static growing crack for the intermediate structure is investigat- ed. The form of plastic zones was found in the evolution of fracture process of material. We also obtained direct estimates of errors and diameters of con- vergence when dropping residues of series.

New discrete displays of classical self-oscillatory systems - Van der Paul and Rayleigh’s oscillators are offered. Displays with the kept temporary characteristics of response of linear system on external influence are received on the basis of combination of methods of parametrical synthesis and invariancy of pulse char- acteristics of dynamic systems. Examples of generation of regular and chaotic self-oscillations in discrete time are given. For the analysis of self-oscillations in the received discrete systems the method of slowly changing amplitudes is used. The effect of substitution of frequencies in a range of self-oscillations with use of the improved first approach is considered.

The questions of implementation in the theory of few Higgs bosons is consid- ered in this article. The corresponding hypothesis, which are the consequences of interpretation of results of LHC-experiments are experienced. Arguments in fa- vor of supersymmetric models are presented. Within the frameworks of NMSSM, estimates for the areas of variation of free parameters of the model are made, masses of Higgs bosons and neutralino, which is a candidate for dark matter particles are calculated. The values of these physical quantities collected in a specific set can be combined in the so-called scenario study of Higgs boson. Four scenarios in which there is an explanation of existing hypotheses are revealed.

One of the main ways of increasing of reliability of sensors of physical quantities on the basis of high-temperature and radiation-hardened heterostructure of β-SiC/Si is the analysis of technological aspects of its forming (endotaksiya) regarding concentration distribution of dot defects of various nature, their probable models of association with participation of foreign impurity. Besides, the analysis of reversible processes of association opens ways of optimization of kinetics of diffusive mass transfer at phase transformation of substrate of silicon into a film of carbide of silicon. In the article dependences of concentration of neutral defects on factors of supersaturation of gas phase on conditional atomic concentration of carbon, from concentration of foreign impurity are given in a gas phase, from concentration of own defects of various nature having potential of formation of deep levels in the forbidden zone and potential of association. The analysis of the given dependences is made and recommendations about carrying out technological process of formation of difficult heterostructures of different function are made.

In the given article results of studies on experimental estimate of possibility of waste recycling of production of TNT in foam glass are presented. Authors for the first time demonstrated experimentally that there is a real possibility of using wastes as a feedstock to produce silicate foam glass, which in turn is used for the manufacture of silicate glass foam - one of the most effective and eco- friendly modern heat-insulating materials. Initial raw charge used for producing silicate glass comprises a third waste, which significantly reduces the cost of resulting foam glass. For purification of gaseous discharges formed from the manufacture of original silicate glass from nitrogen oxides, an efficient thermal method for neutralizing them on the basis of active carbons is first suggested. It is shown by experiments that the highest possible degree of cleaning (≈ 98 %) in the present process can be achieved at 580-600 ◦C.

The data on two new populations of Schivereckia podolica on the Sorochenskie Hills along the rocky foot of Barsuk limestone massive are given in the article. High-altitude limits of Schivereckia podolica dispersion are revealed for two independent populations on Barsuk mountain (46-103 and 55-104 meters correspondingly) also as the total high-altitude diapason of Schivereckia podolica dispersion in Sorochinsky mountains (46-104 meters). The origin of two new found populations is presumably connected with the known before Schivereckia podolica population disposing on the high salient slope of Barsuk mountain from where the seeds can be drive by wind and water. Flower-bud formation and early flowering of Schivereckia podolica on the Sorochinskie Hills dates from the middle of April, mass flowering takes place at the end of April - beginning of May, flowering finishes in the middle of May. In the summer of 2013 the most of plants formed fruits in the last ten days of May and dispersed seeds from the last ten days of June up to the beginning of July. We revealed the effects of autumn flower-bud formation and reflorescence from 28.10.2013 to 22.11.2013.

In the article the practical aspect of application of principles of biological immune system for solving the problem of analysis and classification of email is viewed. In the capacity of analyzed emails ordinary emails (electronic mail) and mails from closed systems (electronic document flow or business management systems) were taken. In the article two-classification artificial immune system was developed with further comparison of effectiveness of their usage with naive Bayesian classification algorithm. Practical realization of the developed system with the application in the system of analysis of emails of the commercial structure is carried out.