The system of equations of ordinary differential equations is integrated by means of the Euler computational scheme, and the step size is maintained small enough that the errors associated with numerical integration are negligible in comparison with the approximation error. It is found that the mean square error decreases rapidly with increasing order of the approximate solution and the trial solution converges to the exact solution. The main source of error is that it is difficult for the approximate solution to keep track of the rapid changes determined by the exact solution for the shock wave. However, this error is detected through the values of the nonlinear term included in the differential equation, which is determined according to the binomial representation through the quadratic forms of the matrix of the trial function. These trends allow us to obtain an approximate solution from a limited number of members of the trial 92 function sufficient for accurate simulation of the solution in a wide range of Reynolds numbers characterizing the ratio of nonlinear and dissipative terms in the Navier - Stokes equation. The ability of this approximate solution to identify the steep profile of the shock wave becomes obvious, since irregular oscillations arise in the solution that do not have a physical justification. The simplest way to deal with this would be to increase the number of members in the approximate solution, which leads to a slight increase in the machine time of the account. The module of numerical calculation intended for the solution of the burgers equation by means of the traditional Galerkin method in the environment of engineering calculations PTC MathCAD is given. The method of solving the burgers equation by Galerkin method applied to the problem ofpropagating shock wave is considered. The solution is based on the reduction of a parabolic partial differential equation to a system of ordinary time-dependent differential equations, taking into account the nonlinear term of the differential equation.

At present soybean products in most foodstuffs are used as source ofplant protein. Enough limited territory of our country can produce qualitative soya products, most of them are imported. Taking into account that our state pursues import substitution policy the question to replace soya protein by lupin one is actual. The article describes possibilities to use lupin for food, demands on alkaloid content in lupin seeds according to the Western Australian standard and to the opinions of different researches. Manufactures interested in lupine introducing into food production can read information concerning the chemical composition of whole grains and kernels of white lupin which is the most cultivated Lupinus specie.

Dietary fiber is an important component of the human diet. It is in this component that there is a deficit in nutrition. Currently, one of the main directions of the food industry is to preserve the benefits offresh products. Special attention is paid to products with antioxidant and antiradical properties. In this paper we study the effect of freeze drying on the antiradical, antioxidant properties of vegetables and the possibility of studying freeze-dried vegetables as a source of dietary fiber. The study was carried out to determine the total content ofphenols and flavonoids, antioxidant and antiradical activity determination by FRAP and DPPH methods. The objects of study were vegetables grown in the Samara region: beets, zucchini, tomato, cucumber, cabbage, carrots, onions.

The analysis of food non-traditional additives that are used to improve the physico-chemical, organoleptic and consumer qualities of bakery products. Various additives that increase the nutritional and energy value of bread have been studied.

Improving the quality of products, extending the period of preservation of its freshness - the main tasks of bakeries, which is especially important in a competitive struggle for the market.

This article explores the effect of various cheeses in pizza recipes on the physicochemical and organoleptic characteristics of finished products.

A method of inactivation of the microflora of the "waste" brine after salting cheese using a cavitation heat generator is substantiated and proposed.

The proposed method of separation is as follows. First, there is a vibrational movement of the bulk mixture down between two vertically horizontally oscillating plates during interactions with each plate in each oscillation period to break the bonds between the particles of the mixture. After leaving the space between the oscillating plates, the particles of the mixture interact for the last time with that oscillating plate, which is longer than the other 165 below, and fly from it. In flight, particles are distributed in accordance with the range of their flight. After that, each particle of the mixture falls into the collector for particles of its fraction by dropping. This method is carried out due to the difference in the adhesive properties ofparticles of different fractions and due to the difference in overcoming by these particles of the air resistance force.

A lot of various plants with pharmaceutical and therapeutical effects grow in the vast territory of Krasnoyarsk region. Such herbs are hardly used in confectionary, but they are widely used in ethic recipes. The goal of this study is to examine improvement of nutritional quality of product, organoleptic quality indicators and extension of freshness by means of using oregano in flour bakery products. Scones were baked using the standard technology following all technology parameters. Herbal powder was mixed into flour and then we added this blend while kneading the dough. It is established that even with introduction of herbal ingredients of oregano powder the final produce meets requirements of state standards (GOST 15810-2014). Scones gained pleasant taste and herbal flavor, however with increased amount of herbal powder the product's surface became worse and texture turned tougher. In the result of an overall evaluation of samples, the choice was made to a sample with an amount of introduced herbal powder equaled to 5%. This article looks at the possibility of using local herbal pharmaceutical raw materials as an ingredient for flour bakery products. We composed a raw scones recipe with addition of oregano powder. We studied the quality of baked products in correlation to the amount of introduced herbal powder.

This work is devoted to a very relevant topic for those engaged in computer science: different approaches to the process of setting and solving problems in computer science. The paper considers two approaches to solving problems on a computer: 1) in the so-called calculus of the problem 2) when working with the field of meaningful problems. The advantages and disadvantages of these approaches, their practical significance are considered.

The article presents the organoleptic evaluation of samples of the basis for sauces using vegetable raw materials. The main components of the formulation are represented by red Rowan fruit and amaranth seeds. This product is suitable for catering companies, for the creation of further sauces unique bouquet. Features of the technology of obtaining experimental samples of the basis for sauces is the principle of hydro-mechanical action, allowing to create a product homogeneous in structure, with improved sensory characteristics. The search for the optimal selected technological factors (raw material processing temperature, °C; mass fraction of moisture, %; content of amaranth seeds, %) was made using the Taguchi technique. The essence of this technique is reduced to the allocation of controlled technological factors with the levels of variation of each parameter, then using orthogonal matrices in which

In this article the author investigates a matter of guest service in terms of the relationships between the hotel owner, staff and guests. We reveal the question how the employers' attitude toward the staff has an effect to the client focus and high service level.

The development of new types of food products using non-traditional plant raw materials rich in useful substances necessary for the human body is an important direction of the NTI of the Russian Federation "FoodNet".Bread and bakery products occupy a high share in the consumer basket of the population of the Russian Federation, research in the field of designing prescription formulations and technologies for new types of bakery products is essential. The disadvantage of the main part of bakery products is the low biological and physiological value and high calorie content. Modern production of bread and bakery products is aimed at enriching them with vitamins and minerals to increase the biological value and reduce calories.

Currently, there are a large number of software packages for data smoothing (MatLab, Matematica, Statistica). The purpose of this study is the software implementation of a set of the most effective algorithms for test studies of rapidly changing data.

Organoleptic and physico-chemical indicators of new pectin-containing drinks based on vegetable juices are given. Their compliance in terms of safety with the requirements of the Technical Regulations of the Customs Union was confirmed. It is concluded that it is advisable to introduce new types of drinks to production.

Oscillations on coronal loops is one of main objects of the study in the coronal seismology, they are observed usually in various electromagnetic emission. Its properties are studied well as modes of a uniform magnetic tube in the linear magnetohydrodynamics approximation. Now we study the kink-mode of nonuniform coronal loops that consists of a cylindrical core with axial magnetic field and coaxial annulus with purely azimuthal magnetic field. One can expect that the formation of such magnetic flux tubes consisting of two parts is a natural result of the evolution of twisted magnetic tubes transported in the solar atmosphere from the convection zone. New wave solutions are presented in the annulus that have singularity in a nonzero point. A solution of the dispersion equation for kink-mode shows undamping free kink oscillations.

The article is devoted to improving the range of pasta. Pasta products are in great demand among all groups of the population, so it can be considered as an object for the introduction of enriching and functional components.

The article, based on the results of the author's sociological study, examines the problem of protest moods in several regions of the Russian Federation. The idea is substantiated that environmental problems are triggers of social discontent, the growth of protest moods and, as a result, protests. The idea of the reasons for the politicization of ecologists and the politicization of ecology is grounded. environmental issues, as the fundamental problem of the survival of mankind as a species, as a factor influencing the quality of life of an individual, begins to wilt in the Russian political space, starting from the end of the twentieth century. At the same time, it does not have a serious impact on party doctrines, nor on electoral preferences, nor on the political course of the country as a result. Currently, environmental issues are being updated, its transition to a new quality. It is proved that environmental renewals are a factor, a catalyst, a cause, a condition for the growth of protest moods in the regional community. The idea is substantiated that certain political forces use the environmental agenda in order to consolidate a protest-minded electorate around themselves.

Author's study of the role of sport in the political life of modern Russian society is presented taking into account the youth factor and the relationship of all components of the political process.

In the conditions of a federal state, special forms and mechanisms are needed for the participation of regional authorities (subjects of the federation) in resolving issues that are primarily within the sphere of responsibility of the central government. In modern Russia there is a consistent development of the forms and mechanisms of participation of the authorities of the subjects of the federation in the policy of ensuring national security. The article reflects the results of the institutional analysis of the forms of participation of authorities of the subjects of the Russian federation in the implementation of the policy on ensuring national security. Antiterrorist commissions become a special form of institutional interaction between federal and regional authorities. In the period of 2010-ies. the main form of participation of regional authorities in this direction of public administration is the program-target method.

The relevance of the topic is due to the presence of conflicting opportunities for ethnopolitical and logical processes in the Caucasus, which is also a high level of social and political activity of youth characteristic of the region and its active participation in socio-political processes. Materials and methods, results and discussions The article defines the attitude of young people to ethno-political processes in the Caucasus macro-region, presents an analysis of assessments and ideas of young people about the causes of ethno-political conflicts, the degree of conflict of ethno-political processes, the presence / absence of communication problems, the interaction of people of different nationalities, religions and identifies the causes of ethno-political contradictions and disagreements in the region. The basic research is the sociological method, the method ofpolitical analysis and the use of statistical data. The source base was the results of a sociological survey of undergraduate and graduate students at the age of 18-24 from universities in the North and South Caucasus, conducted as part of the project "Ethnopolitical Processes in the Caucasus in the Assessments and Representations of Modern Youth".

This article presents the results of a study on improving financial sanctions as an instrument of international influence. The author identifies two main ways to increase the political effectiveness of financial sanctions, targeting and, recently gaining increasing importance, technologization. It proves the convergence of financial pressure and cyberspace operations, substantiates the concept of cyberfinancial tools of foreign policy.

The article analyzes the possible ways of resolving political conflicts, which are a kind of relations in the field of politics and in essence Express a competitive claim of two or more subjects, challenging each other's distribution ofpower or resources. Different socio-political forces in their desire to acquire power, redistribute it or at least influence it, resort to confrontation: open or veiled clash. Victory in a political conflict promises, at least, a change in the political status, possible political prospects for the development of society. A number of principles of political conflict settlement, both domestic and international, are revealed. It is proved that the principle of gradualness is important in the settlement of a political conflict, which involves the gradual preparation of the parties to the beginning of a direct settlement.

The aim of the study is to study the strategic importance of the Caspian region in modern geopolitics. The objectives of the study were: consideration of the forms of relations between the countries of the Caspian region; the process of formation of economic well-being and environmental security of the region; analysis of the geopolitical situation in the region; forecast offurther development of the Caspian region. When writing this work, the empirical method of research was used in the form of studying various sources of information and analyzing the information obtained. The result of this work is the possibility of using the materials of this study in the further study of the geopolitical situation in the Caspian region.

The article discusses the goals of environmentally-oriented economic development of the regions and the methodological basis in the form of an analytical model used in domestic interdisciplinary research. A basic list of statistical and calculated data is provided in addition to the main sets of indicators of the strategy for socio-economic development of the Rostov region.

Residue Number System (RNS) is a non-positional number system, which is a promising tool for increasing performance of digital devices. However, because of RNS is non-positional number system, magnitude comparison of numbers in RNS form is impossible, so division operation and operation of reverse conversion into positional form containing magnitude comparison operation that they are impossible too. One of the approaches to solve this problem is using Diagonal Function (DF). In this paper we propose the method of RNS construction with convenient form of DF, which leads to the calculations modulo² ,²¹ or² ~r¹ and allows to design efficient hardware implementations. We constructed the hardware simulation of magnitude comparison and reverse conversion into positional form using RNS with different moduli sets construct by proposed method and using different approaches to perform magnitude comparison and reverse conversion: DF, Chinese Reminder Theorem (CRT) and CRT with fractional values (CRTf). The hardware simulation of magnitude comparison shows that, for three moduli, proposed method allows to reduce 5 98% 49 72% hardware resources by - in comparison with known methods. For four moduli, proposed method reduces delay by⁴-⁹²% -²¹-⁹⁵% and hardware costs to 2 times by comparison to known methods. Comparing of simulation results of proposed moduli sets and balanced moduli sets shows that using of proposed moduli sets allows to 2 times reduce circuit delay, although, in several cases it is required more hardware resources than balanced moduli sets. Residue Number System (RNS) is a promising tool for increasing performance of digital devices, which allows performing addition and multiplication operations fast and in parallel. However, RNS has disadvantages that some operations in RNS such as reverse conversion into positional form, magnitude comparison and division of numbers are problematic. One of the approaches to solve this problem is using Diagonal Function (DF). In this paper we propose the method of RNS construction with convenient form of DF, which leads to the calculations modulo 2ⁿ , 2 _1 or 2" + 1 and allows to design efficient hardware implementations.

In recent years, the method of microwave radiothermometry has been increasingly used in the diagnosis of breast cancer. However, the analysis and interpretation of thermometric data is quite a difficult task. In this paper, we propose a method for developing a neural network designed for the diagnosis of breast cancer according to microwave radiothermometry. The effectiveness of the combined use of the characteristic space based on medical knowledge and the results of anamnesis is proved. One of the modern and effective methods of functional diagnosis is the method of microwave radiothermometry, which in recent years has found application in a number of areas of medicine, including the diagnosis of breast cancer. However, the analysis of microwave radiothermometry data is a very complex task, which prevents the widespread use of this method in screening. This problem can be solved by creating an effective expert system based on the use of mathematical and computer modeling methods, the capabilities of modern information technologies and, above all, machine learning algorithms. This article is devoted to one of the aspects of this problem. Specifically, the possibilities of using neural networks in the diagnosis of breast cancer based on microwave radiothermometry and history results are discussed. The parameters proposed in this study, as well as the combined use of modeling functions and anamnesis results in the first layer, allowed to significantly increase the efficiency of the classifier in comparison with previous results.

The search for new ways to improve the parameters of mobile radio communication systems OFDM led to the intensification of the development of mathematical models with the properties of finite algebraic structures. Proposed in this paper the transition to integer arithmetic for digital filtering, using number-theoretic transformations (NTT) can significantly reduce the computational cost in the formation of UFMC-signals, thereby reducing network latency.

This work is devoted to testing the hypothesis of homogeneity of modeling functions from temperatures constructed for each qualitative sign of cancer. The following results are obtained in the article. During the analysis of the results of determining homogeneity for each control class, it was revealed that the class "Healthy" and the class "Risk Group" are characterized by heterogeneity in most of the signs in the context of age, diameter of the mammary glands and the location of the survey. The signs of the class "Cancer" are characterized by homogeneity. The regularity of the inhomogeneity was not detected. The effect of a particular temperature measured at a particular point on the uniformity of the results was not revealed. The work is devoted to statistical verification of the homogeneity of samples offeature in the context of the age of the patients, the diameter of the mammary glands and the place of the examination.

This article describes a systematic analysis hydrolithosphere processes: a mathematical model is developed hydrolithosphere processes Beshtaugorsky field, the mathematical models describing the processes of diffusion of contaminants in ground water that involve the relevant boundary conditions from the operational layer, and also shows the stages of designing distributed control system, the analysis of the closed-loop system.

The results of the development of algorithmic support for the project "Automated Information System of the Volunteer Center" are presented, the purpose of which is to obtain a multifunctional tool for planning and distribution of human and time resources, by partially automating the work of employees and the head of the volunteer center "At the Call of the Heart".

Since people learned to create models and conduct calculations on Basiq, Fortran, there have been many attempts to recreate physical processes close to real ones, mathematical programs have replaced these programs - Maple, MATLAB, Mathematica, and also special software - an interactive environment for modeling and imitation of scientific and technical processes COMSOL Multiphysics.

The item offers a view at the results of a study into static memory chips taken as a physically unclonable function for devices with mutual authentication, as well as offers an analysis of values distribution in static memory chip cells at initialization for a series of measurements.