This article attempts to present the author’s symbolic model of the language, with an emphasis on the practical value of the model for resolving language conflicts. A weighty justification is given for the possibility of a symbolic interpretation of practically any phenomena and objects of reality, which can serve as a methodological key to decoding a single sociocultural code. Such an approach may indicate the discovery of a new vector in understanding the nature of language conflicts. In the model below, you can see many ideas that can provide a rich methodological arsenal of great heuristic power in the field of resolving various kinds of language conflicts

Keywords: symbolic model of language, sociolect, sociocultural code, linguocultural community, language conflicts, language rights, multiculturalism, discrimination, language separatism, language policy

Based on the use of additional boundary conditions (characteristics) and the integral method of heat balance, a numerical and analytical solution of the heat conduction problem for an infinitely extended plate is obtained under symmetric boundary conditions of the third kind with constant internal heat sources in time. Considering the heat flux on the plate surface as a new sought function, a simple analytical form of the specified problem is obtained. Using the proposed approach is possible for solving partial differential equations that do not allow separation of variables.

Keywords: analytical solution, internal heat sources, non-stationary thermal conductivity, boundary value problem, boundary conditions of the third kind, additional function, integral of heat balance

The analysis of the existing system of export traffic management in the port transport and technological system of the region. The issues of violations of the terms of delivery of goods on the railway network and in the regional context are considered. The statistics of the trains left behind from the movement on the range of the railroads is studied. On the example of the North Caucasian railway (SKZHD) serving the ports of the Azov-black sea basin and consignees of the southern region, the issues of coordinated delivery of goods are considered. A systematic presentation of the issues of application and development of modern logistics and information technologies to solve the problems of management, planning and optimization of export traffic in rail and sea traffic is given. The analysis of the implementation of the main tasks solved with the help of Traffic information and logistic system (DILS) control unit Road logistics center (DLC) SKZHD.

Keywords: Analysis, delivery time, reliability of delivery, railway transport, seaport, financial risk, transport services, competitiveness

The functional-object visual programming environment “Algozit” is described. This environment includes a program for setting initial data on a model, a program for calculating strain and heat release, a program for displaying results. The possibility of using the "Algozit" environment in computational experiments is shown. The presentation of the algorithm for solving the problem of deforming layered samples upon impact in the form of a functional diagram is considered. The results of a physical experiment with an initial speed of a striking element of 300 m / s and 500 m / s are given. The nature of the temperature field distribution on the surface is described. The deformed forms of the woven sample are shown. Their comparison is shown.

Keywords: visual programming, programming environment “Algozit”, multi-layered woven barrier, numerical scheme, algorithm, high-speed breaking through

Within approaching the plane-stress state the problem of a high-speed rotating disk being under side pressure is considered. Within the model of a perfect rigid-plastic body and the Mises yield criterion the values of external parameters for which the plastic zones appear have been defined. The stresses in plastic zones are obtained from the solution of the Cauchy problem, which includes two differential equations to define the stress tensor nonzero component. In order to estimate the stress state in the elastic zone the equivalent stress is introduced. The maximum allowable values of external parameters are obtained from the solution of the problem when the disk is in the limit state. The numerical results are represented as the stress vector hodograph.

Keywords: the plane-stress state, Mises yield criterion, the equivalent stress, an elasto-plastic solid, a rotating disk, a stress vector hodograph

The simulation of a multilayer structure in the finite element Ansys complex is considered. The design consists of 10 layers, each of which has certain specific properties. The model is an imitation of the soil base pavement. We consider the simulation in the form of a simplified, flat statement of the problem. The analysis of the oscillations under impact. The wave field of displacements at a given part of the structure is analyzed. Based on a numerical experiment, an approach to estimating the characteristics of a layer is constructed.

Keywords: multi-layer construction, vibration diagnostics, simulation, FEM, Ansys, pulse action, dynamics, fluctuations

This article may be of interest to researchers who are designing new machine systems for felling-area works with autonomous energy supply. A methodology based on the decomposition method for creating an simulation functional model of a system consisting of a mobile wood chipper for felling-area works and a mobile energy module is proposed. The machine system of interest is an original technical solution. It consists of an autonomous energy supply module with powered by wood fuel external combustion engine and a logging machine for the production of wood chips. The functioning equipment units of the system is simulated using the MATLAB Simulink dynamic simulation environment. For the convenience of experiments, the use of LabVIEW virtual instruments is proposed for setting input and control parameters, as well as displaying output parameters. The input, control, disturbing and output parameters of each functional block of the system are described: gas generator, external combustion engine, electric generator, uninterruptible power supply, electric motor, propulsion device, wood chipper unit, hydraulic manipulator. It is supposed to use this simulation model to justify the main parameters of the autonomous system for the production of wood chips, as well as the further development of an automated control system.

Keywords: fuel chips, wood fuel, unmerchantable tree, simulation model, LabVIEW, Simulink, mobile chipper, autonomous power supply, logging

The article describes the method of identification of abnormal actions of users of corporate computer systems based on the analysis of log files. The proposed method is based on the clustering of system log events by The IPLoM algorithm and the construction of an event count matrix for its further analysis using machine learning methods.

Keywords: machine learning, information security, data analysis, syslog monitoring, log file, IPLoM

The article considers the methods of calculation of electric networks when choosing the locations of compensating devices of consumers. The basic network and calculation module of a complex network transformed into a full polygon is analyzed

Keywords: reactive power compensation, optimization, power line, consumer compensating devices, analytical model, reactive load, power system

For a numerical study of the stress-strain state of the edge sections of a coal vein under the influence of a mining zone, there is a mathematical model of the geomass deformation processes, which is reproduced in the form of boundary value problems of the theory of elasticity. The problem was solved by the finite element method in a variational formulation, in which the functional was minimized with full potential energy to determine displacements in narrow of elements. Computational experiments were carried out using the author's complex of programs. Based on the results of numerical modeling, recommendations for strengthening the coal target and definitely bearing capacity was developed. The use of the developed mathematical model and software package allows us to design documents at the development stage, to predict the stress-strain state of the geomass in the zone of influence of the underground mining system.

Keywords: Mathematical model, numerical modeling, computational experiment, software package

The modeling of a hollow core slab in the finite element complex Ansys is considered. The construction of a 3D model is considered. Numerical modeling was carried out under static loading of the floor slab. The influence of material properties on the parameters of the stress state and deflection of the structure is investigated. Based on a numerical experiment, an approach to assessing the characteristics of a structure is constructed.

Keywords: hollow core slab, static analysis, modeling, FEM, Ansys, stress state, deflection

In this article the results of analysis of special simply-supported plate by theory of plates of moderate thickness are presented. The special feature of this plate consists in specification of special boundary conditions on its edges which are different from usually specified boundary conditions. The uniformly distributed load is acting upon the plate. In this article the results of analysis by the finite element method are presented

Keywords: simply-supported plate, theory of thick plates, theory of plates of moderate thickness, Mindlin plate theory, Kirchhoff plate theory, bending moment, twisting moment, shear force, finite element method

A comparison was made between two methods for analyzing trends recorded by the scanner — EMD and EF. Informative components are given to build a forecast that can be used to change the controller in the system.

Keywords: Empirical Decomposition (EMD), Extreme Filtering (EF), Paper Machine (BDM), Real-Time Systems, Frame-by-Frame Signal Processing

Dynamic norms for random and directed mutations in a genetic algorithm for solving the problem of placing elements in an orthonormal lattice have been developed. The principle of these norms is borrowed from the method of imitation annealing. The probability of using random mutations decreases in accordance with the annealing temperature, and the probability of directional mutations increases from iteration to iteration when approaching the optimum.

Keywords: genetic algorithm, the task of placing the elements, the annealing method, random mutations, directed deterministic mutations

The article proposes a structural-functional model of a data storage system based on solid-state drives, implementing deduplication technology to optimize the use of disk space. The concept is based on systems approach. The functioning model is presented in the form of interaction between the control subject (the system administrator) and the control object (the storage system). The system is exposed to external stream of requests from user applications over the Internet. The output parameters of the system include such performance indicators as storage capacity, storage time, storage cost, performance and reliability. The data storage system is presented in the form of four main integrated components, sequentially connected with each other: Network Service; deduplication system based on VDO technology; write management system, software RAID Control System; array of SSD drives. While the flow of requests passes through the system, the delay at each component is determined by the appropriate mathematical model. Such a structural and functional representation of the system allows applying the methods of statistical modeling and queuing theory to its analysis. The use of the proposed model will allow to design a data storage system of the given volume and service life with a minimum storage cost for a consumer with given performance and reliability indicators.

Keywords: data storage system, solid-state drives, deduplication, SSD-drive, RAID-array, modeling, optimization

Within the plane-stress state the problem of a high-speed rotating disk being under side pressure is considered. Within the model of a perfect rigid-plastic body and the Mises yield criterion the allowable boundaries of external parameters have been defined. Within the model of a perfect elasto-plastic solid and the Mises yield criterion the limit state of the disk has been considered. The displacements and the deformations are assumed to be negligible quantity; deformation plasticity theory is chosen. The problem of defining the stresses is ecstatically determined. The displacements are determined together with the stresses. In order to define the displacements as single-valued within the model of a perfect elasto-plastic solid when the disk is in the limit state it is chosen the condition that the plastic deformations inside the disk side surface are equal to zero. For the model of a perfect rigid-plastic body in order to define the displacements as single-valued the displacements values inside the side surface of the disk are needed to be determined. Plots of numerical calculations for the stresses, the deformations, the displacements and the stress vector hodograph have been introduced.

Keywords: the plane-stress state, Mises yield criterion, the limit state, a rigid-plastic body, an elasto-plastic solid, a rotating disk, a stress vector hodograph

The paper considers the tortuosity of regular n-gons, fractals and the tortuosity of the boundaries of a rectangular trapezium. The tortuosity value ωn is obtained in the limiting case. For all the considered figures, the dependencies of the tortuosity values on the number of sides of the regular n-gon and on the nth iteration for the fractal in question were constructed. For the boundary of a rectangular trapezoid, we plotted the curves of the tortuosity border on the angular coefficient of the straight line y = px + q, which bounds the trapezoid under consideration. It is shown that with an increase in the number of iterations in each fractal, the value of tortuosity increases, and its limiting value tends to infinity.

Keywords: Tortuosity, closed loop, fractal, regular n-squares, Koch's snowflake, contour boundaries

Development and improvement of radio engineering devices, reduction of their design time period require development of effective methods of mathematical modeling of analysis and optimization of these devices technical parameters. The paper considers new mathematical models that describe such objects for which it is necessary to use algebraic equations along with differential ones. Kirchhoff's laws, component equations, equivalent transformations of currents and voltages gradually eliminating algebraic expressions from consideration are been used for the paper objectives solution. As a result of these transformations, the system which contains differential and algebraic relations is reduced to a form of differential equations in the Cauchy form. This allows applying well-developed methods and algorithms for the numerical solution of differential equations in further researches.

Keywords: mathematical modeling, optimization, electronic device, bipolar transistor, state space method, differential equations, regular search algorithms

In article the algorithm of calculation of systems with unilateral constraints with the replacement reactions of the supports on the force variables. The calculation algorithm is based on the finite element method in the form of the classical mixed method. The algorithm of search of version of the working constructive scheme is based on the modified "physically obvious" algorithm of design constructively nonlinear systems. The paper describes the features of the resolution system of the algorithm proposed by the authors and provides a flowchart. A comparative analysis with the algorithm of calculation of systems with unilateral constraints, proposed by the authors earlier, as well as some others. The efficiency of the algorithm is tested on numerical examples.The advantages of the proposed algorithm are: The vector of results includes the reaction of the support, which allows you to make a decision to change the design scheme; the calculation takes into account, as an additional loading factor, the size of the displasement in the realized one-way support, which increases the accuracy of the calculation.

Keywords: structural mechanics, single-sided supports, structural nonlinearity, the mixed form of the finite element method

In this article there analyzed the three step approach in a modified spectral characteristics evaluation method using discrete transformations of Walsh and method of parametric spectral analysis of Proni. There briefly described the method based on the method of parametric spectral analysis of Proni, describing the positive and negative qualities. It is also proposed to apply a discrete change of Walsh and Hadamard. There suggested the use of three step procedure. Applying of Walsh discrete transformation will simplify and reduce the computational procedures. When applying these transformations for analysis of mathematical models of processes with similar characteristics, it is proposed to calculate the templates, and then to compare these templates. And templates for each group are invited once to calculate parameters using a modified Prony method or Prony and Berga combined method. Later on using Walsh transforms it is necessary to compare the results obtained with the available templates.

Keywords: modeling, spectral analysis, Proni method, method of Walsh, the model order discretization step response duration

The article discusses the current problems of calculating the distribution of water flow; the problems of current methods based on solving nonlinear equation systems are identified; proposes a new method for solving problems; analysis of the effectiveness of the proposed method; proposed a way to optimize the simulation calculations.

Keywords: waterways, water expenditures, modeling

We consider the problem of diagnosing breast cancer on the basis of combined thermometry. Diagnosis is carried out using two-dimensional generalized signs. Each such sign is formed on the basis of two one-dimensional. We propose an algorithm for the formation of sets of such features using tapering ellipses. On the basis of a set of such signs a classifier is built. By varying the semi-axes of the ellipses, the physician can control the sensitivity and specificity of the classifier. The doctor can fix the threshold value of specificity and achieve the maximum value of sensitivity. As a result of computational experiments, we built a family of 300 sets of two-dimensional signs and implemented a classifier customized by the doctor.

Keywords: combined thermometry, diagnostic algorithms, data analysis, algorithm sensitivity, algorithm specificity, logistic regression, custom classifier, breast screening, mammology

The issues of improving the quality of products produced by predicting the resulting geometric characteristics of the shape of the pipes to be profiled and their accuracy are considered. An objective mathematical model was created that adequately describes the real process. The computational experiment was performed using software packages that allow implementing the ANSIS and DEFORM finite element method. The dependencies of the studied shape parameters on the outer diameter of the workpiece are established. The presented dependencies and the proposed guidelines for the conduct of the process are of practical use and are useful to developers and consumers of process equipment for predicting the results of profiling

Keywords: Pipe profiling, deformation, stress, mathematical model, finite element method, accuracy, quality

In the paper, we consider the problem of modeling the dynamics of leading cryptocurrencies such as Bitcoin (BTC) and Etherium (ETH). We calculate the log-returns based on the time series of cryptocurrency rates and analyze the realized power variation to estimate the corresponding generalized Blumenthal-Getoor index. The analysis shows that tempered stable Levy processes without a diffusion component are suitable for modeling the cryptocurrency rates considered. To obtain a more accurate estimate of the parameter that describes the activity of jumps in the log-returns, we exclude the influence of drift by considering auxilary series of increments of the initial log-returns.

Keywords: mathematical modeling, cryptocurrencies, Levy models, Tempered Stable Levy models, CGMY modes, Blumenthal-Getoor index, realized power variation

In this paper, we studied a dynamic model of the production of a public good, taking into account the corrupt distribution of resources and private interests, formalized as a cooperative differential game with the Neumann-Morgenstern characteristic function. The proportional and linear mechanisms of resource allocation are analyzed. As a solution of the game, the Shapley vector was chosen, which is found for test examples using computer simulation.

Keywords: cooperative differential games, corruption, resource allocation, imitation modeling, qualitatively representative scenarios