Problem research of display the orthogonal projection of four dimensional hypersurface defined by the equation in an implicit form one and two hyperplane. To communicate and bypass hypersurface Discriminants assumes that the hypersurface of the two-parameter family of two-dimensional display received surfaces in five-dimensional space. The analysis of kriminant four dimensional hypersurface orthogonal projection onto the coordinate hyperplane in two coordinate axes. The intersection of three dimensional hypersurfaces axiom (kriminant) defines a two-dimensional surface that is the envelope of the two-parameter family of two-dimensional surfaces. Are the necessary and sufficient conditions of existence of this envelope.
The results obtained are used to study the Discriminants four-dimensional hypersurface, the display of two-parameter family of spheres in a five-dimensional space.  

Keywords: a family of surfaces, hypersurface, envelope, the display features, а discriminant.

This article investigated the quality of the bread produced by the bakery Starominskoy consumer society. bread applies to goods of strategic importance and plays an important role in human nutrition. The paper presents the study results of the range of bakery products bread-baking plant and consumer preferences. Defined organoleptic and physical-chemical indices of quality of bread. The results were compared in quality bread with the requirement of GOST R 52961-2008. The conclusions about the quality of bread. Keywords: bakery products, organoleptic indicators of quality, physico-chemical quality indicators, baking industry, range, questionnaires, consumer demand. Code of specialty: 08.00.05;

Keywords: bakery products,organoleptic indicators of quality, physico-chemical quality indicators, baking industry, range, questionnaires, consumer demand.

The article explores the main types of organization of the corporation and management in Russia. The corporation is defined as a special organizational and economic form of business. There we identified problems, specific, prospects for the formation and development. It was investigated the features and structure of corporations , as a result of its membership of the integration processes . It was measured the economic and financial management aspects, which may be useful in the development and investment attractiveness of the corporation. The Corporation is a more complex business structure. Corporations  have certain rights, privileges, and liabilities beyond those of an individual. Doing business as a corporation may yield tax or financial benefits, but these can be offset by other considerations, such as increased licensing fees or decreased personal control. Corporations may be formed for profit or nonprofit purposes. The author gives the aspects of each formation. 

Keywords: corporation, organization of activities, organizational and economic form, form control, transaction costs

The properties of the water-soluble high-modulus silicate systems: based on alkali metal polysilicates called liquid glass and chain their transformation from lower to higher oligomers, with the subsequent formation of colloidal solutions - silica sol. The methods of preparation, properties and applications of water-soluble high-modulus silicate systems. The possibilities of their use as a binder and modifying agents for various nanostructured composite materials. The examples of promising areas of application of liquid glass and high modulus of aqueous solutions of silicates in construction and industry. In particular show the possibility of using liquid glass and aqueous solutions of silicates in the production of nanostructured silicate polymer. In space engineering for manufacturing water-destructed mandrels used in the manufacture of solid rocket motor casings and pressure vessels 'cocoon' of composite materials by winding. The application of the inorganic sol to obtain a nanocomposite ceramics and monolithic blocks of silicon oxide, which can be used in various fields of modern technology. The possibility of using silica sol as a binder for refractory ultra-lightweight shielding materials used to protect equipment from high impacts. The directions of development of the production of new acid-resistant materials and linings for protection of chemical equipment, parts and components operating in corrosive environments.

Keywords: Keywords: water glass, silicate polymer concrete, additives, silicates organic bases tetrafurfuriloksisilan, furfural alcohol, nanostructure composite materials, water-soluble silicates, silica sol, sol-gel transition, cured xerogel water-destructed mandr

The paper contains a description of a new method for automatic generation of maps of goods placement. Map of goods placement created by the author's search algorithm. The algorithm is based on ideas of evolutionary search. The proposed algorithm works with a population of constant size, allows not use complex search methods and for a reasonable time find a solution close to the optimum.

Keywords: simulation, evolutionary computation, multicriteria optimization, genetic algorithms

The analytical decision on definition of a forming wall of the bunker of the greatest capacity is provided in article among all bunkers having identical entrance and exhaust outlets. Such bunkers are intended for a hydraulic type of the expiration of bulk. They reduce a pulsation loose at its exit from the outlet and reduce extent of influence of the dynamic arches by account characteristics of the bunker.

Keywords: sliding lines, entrance openings, outlets, bunker, loose body, expense of the loose.

The solid solution of  LiMn1/3Cr1/3Fe1/3O2 with the structure of α-NaFeO2  isostructural with the widely used LiCoO2  has been synthesized and investigated as a cathode material. Rated voltage of LiMn1/3Cr1/3Fe1/3O2  relative to the lithium is 4 V.  The possibility of charging − discharging the material to a specific capacity of 220-250 mAh/g at currents of C/15-C/50 without phase transformations has been experimentally demonstrated. 

Keywords: lithium-ion batteries, cathode materials, Delafosse, solid solution, X-ray structural analysis, electrochemical properties

The results of calculations on the stability of slope lands treated in a new way. Device intrasoil walls combined with loosened intervals allows prevent subsurface runoff water, which reduces surface erosion slopes, improves the fertility of farmland returns a highly eroded areas in turn, eliminates the wetlands at the foot of the slopes. Established that the stability of the treated soil layer on the slope ample.

Keywords: stability of sloping land, subsurface walls, soil subsurface runoff, soil erosion, wetlands, deep tillage, moisture saturation slope.

Based on the analysis of works of finnish experts shows that learning russian language with learning the finnish language as a foreign supports the development of bilingual identity and language readiness of students. 

Keywords: russian, finnish, teaching.

The combination of the unique, abnormal properties shown by oxidic systems with structure of spinel on the basis of transitional elements chromites draws attention of researchers for many years. Some systems on the basis of transitional elements chromites (for example, nickel and copper chromites) have critical elements (multicritical points, lines of phase transitions of the second sort, etc.) on the phase chart. Near these elements of the phase chart materials possess unique chemical and physical properties. Therefore development methods of receiving and research of phase forming and properties in NIO-CoO-CuO-Cr2O3 system represent fundamental and practical interest for chemistry and technology of inorganic substances. In this work processes of spinel structure formation in system 0,6 NiCr2O4 – 0,2 CoCr2O4 – 0,2 CuCr2O4 from crystal chemistry positions are considered. Formation of two solid solutions on the basis of nickel (II) chromite – with structure of cubic spinel and with tetragonal distorted structure is established. The influence of cooperative Yahn-Teller effect on processes of a spinel forming and on stabilizing impact of chloride of potassium on process of education of  two spinel solid solutions is suggested. Influence of a power factor of cation stabilization in knots of a crystal lattice as one of the important factor in reaction of spinel structure formation is considered.

Keywords: spinels, chromites of transitional elements, Jahn-Teller effect

Nanotechnology is a technological breakthrough in agriculture, have great potential because they allow you to combine economic efficiency and natural ingredients to solve many problems in agriculture. To achieve high efficiency in agricultural production in recent years, using new agrobionanotehnologies. Authors of this article is working on the development of environmentally safe (nano) technology treatment of seeds of different crops using multi multifunctional biologically active (nano) chips. The obtained test results allow us to conclude about the prospect of being developed (nano) technology pre-sowing treatment and training opportunities 1-2 applications for patents on new research conducted in the development of the developed concept of «non-pesticidal agricultural products.

Keywords: agrobionanotehnologies, (nano) chips, pre-sowing seed, sowing qualities

The article is devoted to the analysis of the principles of energy security of the state and the study of the influence of energy on the level of national security. Considered threats to energy security and the basic directions of its implementation. Examples of world experience in ensuring the reliability of energy systems and power supply. The principles and approaches of maintaining the energy security of the state.

Keywords: electricity, security, reliability, power supply

The article suggests technique of optimization of tree cutting and skidding process via felling-skidding machines and felling-skidding-processing machines. The realization of this technique will allow reducing of time costs and raising of machine efficiency taking into account accessibility of stand cutting, relief features and technological working conditions.

Keywords: integrated machine, cutting, tree, timber harvesting, skidding.

In persisting article is offered structure and functional composition of the programme modules of the tools of the analysis dynamic mechanical systems of the class tooth issues. In change from existing, proposed programme complex contains the extended composition of the modules. This enables, in particular, check convergence iteration computing processes, way to visualizations of the current importance of the full kinetic energy of the fluctuations of the under investigation mechanical system. The broughted composition each of block of the programme complex, with detailed description of the purpose included modules into them.

Keywords: The mechanical system, tooth issue, modeling, programme complex, dynamic of the system

Fe-doped AlN nanorods were studied by means of x-ray absorption spectroscopy above the Fe K- and L2,3- edges. Theoretical simulations of the x-ray absorption spectra show that Fe atoms mainly substitute Al. A minor fraction of Fe interstitials or Fe-Al-N ternary alloy can be identified as well. Bader’s AIM analysis predicts that neutral substitutional FeAl defect is in 2+ charge state, though Al in pure AlN is in 3+ charge state.  Fe L2,3 absorption spectra and photoluminescence data indicate the coexistence of Fe2+/Fe3+ in AlN:Fe nanorods so different charge states of substitutional FeAl should co-exist.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production