bluuebunny/crossref_metadata_2025 huggingface dataset:
Analytical solution of crystal diffraction intensity*
Authors: Shang Wan-Li , Sun Ao , Du Hua-Bin , Yang Guo-Hong , Wei Min-Xi , Xie Xu-Fei , Che Xing-Sen , Hou Li-Fei , Zhang Wen-Hai , Li Miao , Shi Jun , Wang Feng , He Hai-En , Yang Jia-Min , Jiang Shao-En , Zhang Bao-Han
Published: May 2021

Plasma density and temperature can be diagnosed by x-ray line emission measurement with crystal, and bent crystals such as von Hamos and Hall structures are proposed to improve the diffraction brightness. In this study, a straightforward solution for the focusing schemes of flat and bent crystals is provided. Simulations ith XOP code are performed to validate the analytical model, and good agreements are achieved. The von Hamos or multi-cone crystal can lead to several hundred times intensity enhancements for a 200 upmu mplasma source. This model benefits the applications of the bent crystals.
Odd harmonious labeling of Sn
(m, r) graph
Authors: Pramesti E A , Purwanto
Published: May 2021

A graph labeling is an assignment of integers to vertices or edges of a graph subject to certain conditions. There are various kinds of graph labeling, one of them is an odd harmonious labeling. An odd harmonious labeling f of a graph G on q edges is an injective function f from the set of vertices of G to the set {0,1,2,…,2q - 1} such that the induced function f*, where f* (uv) = f(u) + f(v) for every edge uv of G, is a bijection from the set of edges of G to {1,3,5,…,2q - 1}. A graph is said to be odd harmonious if it admits an odd harmonious labeling. A graph Sn(m, r) is a graph formed from r stars, each of which has n + 1 vertices, and every center of the star is joined to one new vertex v
0 by a path of length m. In this paper we show that the graph Sn (m, r), m ≥ 2, 1≤ r≤3, is odd harmonious.
Elegant labeling of sun graphs and helm graphs
Authors: Maulidia A R , Purwanto
Published: May 2021

Let G be a simple and finite graph having q edges. An elegant labeling f of G is an injective function from the set of vertices of G to the set {0,1,2,…,q} such that the induced edge labels, where each edge xy is assigned the label f*(xy) = f(x) + f(y) (mod(q + 1)), are distinct and non zero. If a graph can be labeled by an elegant labeling, then the graph is said to be elegant. In this paper we show that sun graph n-sun and helm graph Hn
, where n is an odd integer at least 3, are elegant.
The properties of anti-fuzzy line graphs regular
Authors: Trisanti Y , Nusantara T
Published: May 2021

In this article we discuss about anti-fuzzy line graphs regular. The concept of antifuzzy line graph is an extension of the definition of the line graph concept. We adapt the concept of degree of vertex and degree of edge from similar definitions in fuzzy graphs. Furthermore, with this basic concept, we derive the regularity properties of the anti-fuzzy line graphs. Even the complete anti fuzzy graph is isomorphic and homomorphic to the anti-fuzzy line graph.
On local metric dimensions of m-neighbourhood corona graphs
Authors: Rinurwati  , Wahyudi S , Darmaji  , Nabila R E
Published: May 2021

For a nontrivial connected graph G, let VG
be a vertex set {v1, v2, …, vn
}, J be an index set {1,2, …, n}, and H be any graph. Representation r(x|Z) of a vertex x in VG
with respect to an ordered subset Z = {z
1, z
2, …, zk
} of VG
is k-tuple (dG
(x, z
1), dG
(x, z
2), …, dG
(x, zk
)), with dG
(x, Zj
) is distance from x to zj
for every j in J. If each of two adjacent vertices in VG
has different representation, then Z is the local resolving set for G. Local base for G is resolving set Z with minimum number of vertices. Cardinality of base of G, is called the local metric dimension for G, dim
l
(G). For a positive integer m, an m-neighbourhood-corona of G and H, G * mH, is obtained by taking G and as many as | VG
| graph mHj
, where j ∈ {1, 2, …, |VG
|} and Hj
is the jth
copy of the graph H, then making each vertex on the mHj
graph adjacent to the neighbours of vertex vj
in G. This article provides the exact values and characteristics of the local metric dimensions of the graphs generated from the m-neighbourhood-corona operations of G and H graphs, dim
l
(G*mH), with G ∈ { Pn, Cn, Kn, Ks,t
; with s + t = n ≥2, and s and t be a positive integer number, and Wn
} and H=K
1 and their proofs. We gave dim
l
(Kn
*mK
1) = n – 1, and dim
l
(Cn*mK
1) = 2; for odd n. Furthermore, dim
l
(G*mK
1) = 1 if only if G ∈ { Pn, Cn
for even n, Ks,t; s + t = n ≥ 2}. For a graph operating result Wn
, we gave dim
l
(Wn *mK
1) = n - 4, n ≥ 7.
Trinil clean index of a ring
Authors: Mu’in A , Irawati S , Susanto H , Agung M , Marubayashi H
Published: May 2021

From the concepts of clean index of rings, nil clean index of rings, and weakly nil clean index of rings, we expand them by introducing the new concept, that is, trinil clean index of a ring. From any element a of a ring R with unity, we set τ(a): ={e ∈ R|e
3 = e and a − e ∈ Nil(R)}, where Nil(R) is the set of all nilpotent elements of R; trinil clean index of R is defined by sup{|τ(a)||a ∈ R} and it is denoted by Trinin(R). In this article, it will be investigated some properties of trinil clean index of any ring, ring homomorphism, and direct product. Some applications of determining trinil clean index of integral domains are also provided. We also determined the trinil clean index of ℤ
n
.
Some results on the Bazilevic functions B1(α) related to the Lemniscate Bernouli (LB)
Authors: Marjono  , Asih N M , Purwanto I N
Published: May 2021

This research is concerned with Bazilevic B1(α) on the unit disc D = {z| < 1}, related to the Lemniscate Bernoulli (LB), defined by kind of subordination for some positive alpha. There will be determined the Hankel determinant, especially the third Hankel determinant which B1(α) subordinates to LB, and we start with the case for starlike and convex functions, subset of B1(α). In this article we impeove the result of Kumar and Ravichandran.
Price elasticity of hybrid chicken egg demand in Indonesia and Pamekasan and its causative factors
Authors: Nafaati A M , Utomo R A , Hasanah D
Published: May 2021

The amount of hybrid chicken eggs production and consumption in Indonesia shows that the need of hybrid chicken eggs increases every year. Pamekasan is a district with the highest production for hybrid chicken eggs in Madura. This study aims to analyze the price elasticity of hybrid chicken eggs demand in Pamekasan and in Indonesia as well as to analyze the factors that dominate the elasticity. That is expected to become one of the bases for establishing policies in the livestock sub-sector, both on national and regional scale. The data being used in this study is the number of requests and prices for hybrid chicken eggs in Pamekasan and in Indonesia in 2016-2017 which were obtained from the East Java Provincial Animal Husbandry Department, Ministry of Agriculture, and the results of research by Ilham and Saptana in 2019 to obtain price elasticity. The price elasticity of demand of hybrid chicken eggs in Pamekasan was 20.68344657 which was elastic, while in Indonesia it was 0.795585317 which was inelastic. Based on the statistical analysis factor result, the factor that dominates the elasticity of the demand for hybrid chicken eggs in Pamekasan is the price of duck eggs with a correlation of 0.994.
Projection pursuit regression in statistical downscaling model using artificial neural network for rainfall prediction
Authors: Farikha E F , Hadi A F , Anggraeni D , Riski A
Published: May 2021

Rainfall prediction is important for farmers to be used in making policies, especially in areas of agricultural production, include in Indonesia. The availability of information about rainfall requires an accurate forecasting method. The General Circulation Model (GCM) is used in dynamic prediction to obtain rainfall information for one month, but with its low resolution, this model cannot be used to obtain information on a small scale so that a statistical downscaling (SD) model is needed. The Projection Pursuit Regression (PPR) used in this SD includes nonparametric and nonlinear approaches to processing large dimensional data that can describe small dimensions through a projection process. This research is further explained using a neural network-based approach, that is Artificial Neural Network (ANN) in a statistical downscaling model with applications for analysis of events related to rainfall prediction. In this case, the data will be part of the model formation of statistical downscaling. The SD prediction model uses several predictors, where some of these predictors have a physical relationship between the atmosphere and rainfall. The predictor variables are taken from the GCM output, the predictor variables used precipitation.
Naive bayes methods for rainfall prediction classification in Banyuwangi
Authors: Azmi A U , Hadi A F , Anggraeni D , Riski A
Published: May 2021

Banyuwangi is the largest district in East Java with an area of 5,782.50 km2. It has a long coastline of about 175.8 km which stretches along the southern eastern boundary of Banyuwangi Regency, and there are 10 islands. The BMKG estimates that the dry season in the Banyuwangi area is due to the appearance of the beach having hot weather and rarely rains. Banyuwangi also predicts that the dry season is due to the slight influence of cloud growth. Rainfall is a factor of the rainy season which has a big influence on life such as aviation, plantations and agriculture. Agriculture and plantations in Banyuwangi are mostly located in remote areas. Remote areas are likely to lack weather and climate data information. climate elements of a region cannot be ignored, especially rainfall. Based on data from BMKG (Meteorology, Climatology and Geophysics), the weather data used needs to be classified. Rainfall classification can be categorized into three, namely, light, normal and heavy. There are quite a lot of classification methods, there are several new methods that are quite good such as Naive Bayes (NB). Naive Bayes Classifier (NBC) is an algorithm in data mining techniques that is used to determine the probability of a member of a group. Large and irrelevant datasets can be solved using the Naive Bayes Classifier (NBC) method. The rainfall data used is known first, observed then identified to form a training dataset. Determining the accuracy of rainfall with the Naive Bayes Classifier (NBC) can use several parameters that have a physical relationship between the atmosphere and rainfall. The parameters used to determine rainfall are humidity, rainfall and precipitation. From this study, from 49 data testing, 47 data were predicted correctly with an accuracy of 96%.
Zero inflated poisson regression analysis on imb ownership in Sidoarjo regency 2019
Authors: Permadi H , Maulidah S D
Published: May 2021

The ownership of IMB is caused by several factors that can be seen by statistical analysis, but in this case, the data is Poisson distribution so the modeling uses Poisson regression. However, the assumption of equidispersion in Poisson regression is often difficult to fulfill, resulting in a case of overdispersion. The alternative to solve the overdispersion case is Zero Inflated Poisson Regression. This study uses the number of data in each village in Sidoarjo Regency with 8 factors that are suspected to influence it, namely the number of standing buildings larger 40th (X1), Land Certificate (X2), Knowledge of IMB (X3), Knowledge of Sanctions (X4), Costs (X5), Lazy or Convoluted Bureaucracy (X6), and the Feeling of Calm in owning a building (X7), and Participation in the IMB Socialization Program (X8). The results show that the IMB ZIP Ownership Regression Model is as follows: log(μi
) = 5,470 + 2,831 × 10−4
X
2 – 8,876 × 10−6
X
3 + 1,356 × 10−4
X
4 + 2,530 × 10−4
X
6 logit(wi
) = 0,652 − 0,000244X
2 + 0,000175X
3 – 0,000996X
4 – 0,00155X
6. The models that most influence the ownership of the IMB is the Land Certificate (X2), Knowledge of the IMB (X3), Knowledge of Sanctions (X4), Lazy or Convoluted Bureaucracy (X6)
Numerical solution of Saint-Venant equation using Runge-Kutta fourth-order method
Authors: Sukron M , Habibah U , Hidayat N
Published: May 2021

The Saint-Venant Equation (SVE) is the equation that describes the flow below a pressure surface in a fluid in unidirectional form. The SVE is in the form of partial differential equations. To solve the partial differential equations is rather complicated than the ordinary differential equations analytically and numerically. In this paper, we construct numerical schemes of the SVE by changing it into semi-discrete equation by using a finite difference in space (x) such that the SVE becomes ordinary differential equations (ODEs). Furthermore we solve the semi-discrete form of SVE by using Runge-Kutta fourth-order method since this method has smaller error and higher accuracy than the others method to solve ODE.
Traffic modeling on the road of the fly over branch using totally asymmetric exclusion process a macroscopic approach
Authors: Fitranto T , Muksar M , Kusumasari V
Published: May 2021

This research examines a dynamic model, namely the Totally Asymmetric Exclusion Process (TASEP). In addition, it discusses the boundary conditions and dynamic rules used in this modeling. TASEP has been applied in various fields, one of which is the traffic flow modeling. This system is modified into a unidirectional fly-over fork. Furthermore, a vehicle which travels through a road segment is modeled as a particle which jumps from one lattice to another. The continuity term which is to describe a particle dynamic in TASEP is solved by using the level set method. The profile of particle density and current density is affected by input rate and output rate of the particle jump.
To the theory of thermal conductivity of binary liquids
Authors: Gladkov S O , Poberegskii S Yu
Published: May 2021

An analytical description of the dependence of the ratio of thermal conductivity of heterogeneous liquids in the form of function on concentration and temperature is given. It has been proven that the main factor that plays a major role in the process of thermal conductivity is the interaction of volume molecules with surface molecules.
The stress-strain state of the spherical body under uniform compression taking into account the radial non-monotonic distribution of the material elastic characteristics
Authors: Gotsev D V , Buntov A E , Sviridova E N
Published: May 2021

The mathematical model describing the centrally symmetric stress-strain state of an inhomogeneous elastic spherical body under the action of uniform all-sided compression is constructed. Approximate analytical solutions are found. The inhomogeneity of the elastic characteristics of the material is modeled by a radial non-monotonic elastic modulus at a constant Poisson’s ratio. Based on experimental data, the components of the stress-strain state are numerically calculated for the problem under consideration, and characteristic effects are revealed.
Experimental study of SSS of a steel concrete beam taking into account the rigidity of the connecting seam
Authors: Kozlov Alexey V , Kozlov Vladimir A
Published: May 2021

The article presents the test results of a scale model of a single-span steel-reinforced concrete beam, which is as close as possible to the real structures of bridge spans with the combination of a reinforced concrete slab with steel beams using flexible pin stops. The distribution of the experimental values of shear deformations and normal stresses in the beam flanges is in good agreement with the calculated data, taking into account the shear stiffness of the joint, and differ in a number of values from those calculated by the classical approach.
Wave processes in an extended underground pipeline interacting with soil according to the model of an “ideal elastoplastic body”
Authors: Mirzaev I , Shomurodov J F
Published: May 2021

A piecewise-linear problem of the effect of a wave propagating in soil on an extended underground pipeline interacting with soil according to the model of an “ideal elastoplastic body” is solved by the finite difference method. The results of calculating the velocities, strains and lateral shear stress for three waveforms: step-like, impulse and harmonic ones are presented. The analysis of the results obtained is performed and the effect of reverse outward forcing of the pipeline under the action of a displacement impulse propagating in soil in the form of sine squared is shown. An approach to the stationary mode under sinusoidal impact is considered.
On the tension of a cylindrical rod of variable cross-section
Authors: Petrov N I
Published: May 2021

The paper considers the solution of linearized equations of the theory of small elastic-plastic deformations in the case of an axisymmetric problem. It is assumed that in the initial state there is a simple stretching. In the first approximation, the relations for the components of displacements, deformations and stresses are obtained. Solutions are expressed in terms of zero-and first-order Bessel functions. The paper deals with the stretching of an infinitely long cylindrical rod of variable cross-section.
Computational algorithms for modeling systems with piecewise constant parameters
Authors: Skalko Yu I , Gridnev S Yu , Minaeva N V
Published: May 2021

Modeling systems with piecewise constant parameters imposes special requirements on the computational algorithms used. In places where the parameters are discontinuous, the model variables may experience discontinuities or smoothness disturbances. In this case, the conditions for matching the values of the variables on both sides of the discontinuity boundary, reflecting the physical conditions at this boundary, must be satisfied. The paper proposes computational algorithms for modeling these systems, based on the formulation of the initial initial-boundary value problem in the form of a system of partial differential equations for generalized functions. In this case, the initial conditions, conditions on the external and internal boundaries are included in these equations in a weak form. The latter circumstance makes it possible to avoid the need to subordinate the basis functions, according to which the desired solution is expanded, to the conditions on the outer and inner boundaries, which is an important circumstance, especially for problems with many spatial variables. The paper presents a solution to the generalized Riemann problem with conditions on the outer or inner boundary for a differential equation with second-order derivatives with respect to spatial variables. The solution to the Riemann problem is based on the formulation of the problem in the form of a partial differential equation for generalized functions and the construction of a fundamental solution to the problem operator. When constructing a computational algorithm, the solution of the generalized Riemann problem is used on the inner and outer boundaries. The proposed technique allows, by using high-degree polynomials as basis functions, to build computational algorithms of a high order of approximation.
The research of discrete and continuous models of impact devices by numerical methods
Authors: Slidenko A M , Slidenko V M
Published: May 2021

The article gives the research results of discrete and continuous models of an impact device by numerical methods. The discrete model makes it possible to evaluate the process of impulsive force of the striker with the tool taking into account the aftereffect of the resistance of the working medium. For the rod model, the initial boundary conditions are formulated, which take into account the impulsive force with the determination of the impact force by the Hertz method. The characteristics of nonlinear rigid and dissipative constraints depend on the difference in the displacements of the contact rod ends. The interaction of the tool with the working medium, in particular with the rock, is modeled by similar constraints. These processes are described by initial-boundary value problems with wave equations, which are different in initial and boundary conditions. Mixed difference schemes are used to solve problems. For the rods of variable cross-section, the voltage distribution along their length is determined. The results obtained are compared with the solutions by the Fourier method of model problems.
Stability of a three-dimensional plate made of a nonlinear viscoelastic material under superimposed finite deformations
Authors: Sumin A I , Boger A A , Sumin V A , Ryabov S V
Published: May 2021

In this paper, the stability of a three-dimensional plate made of a nonlinear viscoelastic material under finite perturbations is considered. A fairly broad computational experiment has been performed. The permissible boundaries of the region with respect to the final, initial perturbations are established for the given parameters of loading and structures. Finite sequences of bifurcation points are constructed, which confirm, in contrast to stability under small perturbations, the existence of a sequence of stable equilibrium states. New phenomena and characteristic effects are established.
Equivalent series theorem and obtaining some new summable numerical series using fast expansion polynomials
Authors: Chernyshov A D , Saiko D S , Kovaleva E N
Published: May 2021

A theorem on equivalent uniformly converging series is proved, which allows one to find a set of new spectra of summable series. The classification of number series into three classes is given. By expanding special polynomials in Fourier series in terms of various fundamental system of functions, it is possible to summarize a wide class of new numerical series that have a convenient classical form of the first class. These polynomials are borrowed from the fast expansions method of the authors of this article.
Risk-model for communication networks operation stability assessment
Authors: Ananev A V , Ivannikov K S
Published: May 2021

Assessment model of the communication networks operation stability based on the risk theory is developed. Unlike known in the offered model the operation stability level is characterized by scale coefficient of losses in risk expression. The scale coefficient is presented by ratio initial number bonds of fully connected graph to the bonds number after communication network nodes destroying. Such representation of communication networks operation stability allows first, to evaluate a level of influence of the heterogeneous deliberate and inadvertent destabilizing factors influencing a communication network. Second, to predict the communication networks operation stability depending on the nodes number for given defeat probability to a single node of the communication network.
Generalized solvability of a problem with a dynamic boundary condition for the hyperbolic equation
Authors: Bogatov A
Published: May 2021

In this article, we consider a problem with a dynamic boundary condition for a one-dimensional hyperbolic equation. The conditions on coefficients and a source term providing a unique solvability of a problem are derived.
On solving nonlinear differential-functional equations of mechanics and other applications
Authors: Byrdin A P , Sidorenko A A , Sokolova O A
Published: May 2021

The paper presents the results of a study aimed at creating a method for solving the Cauchy problem and the stationary problem for equations containing a linear differential operator with constant coefficients and a nonlinear analytical functional. The method of Volterra-Frechet series is used to obtain a stationary solution of a second-order differential equation with an analytical functional describing the oscillations of a nonlinear vibrator with hereditary behavior. The behavior of the solution and the dependence of energy losses on physical parameters are studied.
On elliptic problems in domains with low dimensional boundaries
Authors: Vasilyev V , Chernova O , Kovalyova L , Kutaiba Sh
Published: May 2021

We study a solvability for some concrete boundary value problems in domains with a low dimensional boundary. Such boundaries are considered as a limit situation of a volume problem for which one or more parameters of a domain tend to their endpoint values. The solvability conditions in Sobolev-Slobodetskii spaces are given using the wave factorization concept for an alliptic symbol..
To the question of the shape of the spatial curve of the fastest descent in the conditions of its rotation
Authors: Gladkov S O , Bogdanova S B
Published: May 2021

The non-linear system of dynamic equations of the movement of the ball, sliding down on rotating with frequency ω on one-dimensional gutter of arbitrary form, is obtained. From the minimum sliding time. defined by the form of this curve. Taking into account the forces of dry and viscous friction, the results of the analytical and numerical solution of the received system of equations are presented.
Solution of the Mainardi Signaling Problems with the Maxwell-Fejer impulse
Authors: Kostina T I , Silaeva M N , Mohamad Alkadi Hamsa , Pritsepov M U
Published: May 2021

In this paper, we study a problem describing the process of slow diffusion (subdiffusion), the mathematical model of which is a differential equation with a fractional derivative. The correct solvability of the Cauchy problem for the equation under consideration is established and the effect of slowing down the process depending on the order of the fractional derivative is shown.
The determination of redundant test patterns based on binary matrix symmetry properties
Authors: Petrukhnova G
Published: May 2021

The object of research are digital circuit control tests. The model of a digital circuit is of a grey-box type. Test patterns (impacts) are combinations of logical zeros and ones, applied to circuit inputs. A binary matrix is the response of a digital circuit to input impacts. The examined faults are of «bridging faults» and «stuck-at faults» types. We distinguish the structural units of a test, as well as transformations, maintaining its structure. The measure of binary matrix symmetry is defined. Based on the measure obtained, the criteria are introduced, which help to calculate the utility of another test impact upon a digital circuit. To investigate the criteria, both pseudo-random and deterministic test sequences have been used. Among others, we have observed such algorithmic sequences as a sliding-ONE test, a logarithmic test, a galloping test pattern and a checkerboard test. The proposed approach gives the possibility to identify and exclude the impacts, not carrying useful information, from a test of combinational circuit control. The developed criteria can also be applied to construct memory tests. The analysis of experimental data allows us to make a conclusion about the advisability of using the proposed mathematical apparatus in the theory and practice of digital device testing, as well as in processes of test development.
Economic-mathematical model of choice of heating system development option
Authors: Podvalny S L , Sotnikova O A , Zolotukhina Ya A , Prokshitst E E
Published: May 2021

The large number of the mathematical models describing the production and technological party of economy and intended for acceptance of effective solutions is so far developed. A considerable part of the constructed models to some extent is used in practice. However, despite the considerable achieved success remains many problems requiring the solution. So, many models carry out only preprocessing of information and its storage, but do not provide to the person, receiving the decision (PRD), means for the analysis of a situation and decision-making.
On the effect of transition from a model with concentrated parameters to a model with distributed parameters
Authors: Polovinkina M V
Published: May 2021

We note from a general point of view that adding diffusion terms to ordinary differential equations, for example, to logistic ones, can in some cases improve sufficient conditions for the stability of a stationary solution. We give examples of models in which the addition of diffusion terms to ordinary differential equations changes the stability conditions of a stationary solution.
Computer system of vibration analysis for evaluating extrusion equipment operability at productions of multi-assortment polymeric films
Authors: Fozilov M M , Chistyakova T B , Polosin A N
Published: May 2021

A computer system of vibration analysis has been developed to evaluate the operability of extrusion equipment. The computer system allows you to timely identify an abnormal situation associated with increased vibration of the extruder screw drive, determine its true cause and form recommendations to the production staff for troubleshooting. The computer system is configured for various types and geometric parameters of extruders used in the extrusion and extrusion-calender production of multi-assortment polymeric films. The algorithm for analyzing vibration signals includes the stages of obtaining the signal spectrum by applying a direct discrete Fourier transform and determining the faulty drive element as a result of analyzing the trend in the amplitudes of the signal harmonics at frequencies characteristic of various types of faulty elements. The computer system is integrated into a single quality control system for multi-assortment polymeric films. The results of testing according to the data of extruders of polymeric film production at plants in Russia and Germany confirmed the performance of the computer system. The use of a computer system allows you to save the life of the extrusion equipment, increase the time periods between its stops, and reduce the repair time.
The third boundary problem for the hyperbolic differential equation of the second order
Authors: Shevchenko G N , Borisenko A Yu
Published: May 2021

This article consider the solvability of the problem for the model linear homogeneous differential equation with partial derivatives of the second order of hyperbolic type on the plane in the square for the case of discontinuous conjugation conditions on the characteristics with the third series boundary conditions on the whole boundary of the region under consideration. Dalamber’s solution is used for this problem solving. The conditions for the single-valued solvability of the defined problem are clarified in this paper. As a result, an exact solution was obtained in an explicit form.
Structure synthesis of visualization system for the adaptive training complexes
Authors: Arkhipov A E , Karpuhskin S V , Kalach A V
Published: May 2021

Classification of the problems that can be solved as a result of development of adaptive training complexes, components and technologies in the system of visualization is proposed. A problem formulation of the structure synthesis for visualization system of adaptive training complex is offered implying the possibility of solution of maximum number of the training problems. A scheme of connections is developed between the problems and technologies, concretization of the visualization components that allow solving of a certain set of tasks.
Logic program invertibility in cryptography problems
Authors: Avkhimovich N
Published: May 2021

This work contains an analysis of problems those occur when the logic programs are used for cryptography problems. We explore the following problems: whether a logic program is invertible; whether one program is an inverse of the other. It was proved coNP-completeness for both problems. The size of logic programs also considered. We have found an instance of a program of linear length such that the length of the inverse program is exponential.
On second solutions of the sixth-order nonlinear mathematical model with measured derivatives
Authors: Borodina Elena , Shabrov Sergey , Golovaneva Faina , Kurkinskaya Eleanora
Published: May 2021

In the present paper the sixth-order nonlinear mathematical model with nonsmooth solutions is studied. We consider a case, when the problem is guaranteed to have one solution and investigate the question on the presence of one more. Using the pointwise approach of Yu. V. Pokorny, which has shown its effectiveness in analyzing models of the second and fourth orders, sufficient conditions of the existence of the second solution for the sixth-order model with derivatives with respect to measure are obtained.
Interpolation and masking effects of heteroassociative compressive transformations
Authors: Dryuchenko M , Sirota A
Published: May 2021

The article considers heteroassociative image transformations, which perform mutual mapping of two neighbouring or nested regions of arbitrary shape within rectangular fragments or blocks covering the image. Specifically, the study focuses on heteroassociative compressive transformations. In the article, we provide theoretical justification of various types of heteroassocia-tive transformations performed using neural network based converters and numerical methods. We also study interpolation and masking effects of the transformations, which can be observed during image processing. These effects are accounted for by the possibility to represent an image as a sum of the deterministic component of the output (which is either linear of nonlinear function of the in-put) and the additive stochastic component of the output responsible for the prediction error. The article analyses occurrence, genetic and heuristic algorithms used to optimise the input and output configuration of the fragments covering the image. The algorithms used allowed us to maximise (minimise) the deterministic and the stochastic component and thus regulate interpolation and masking effects of heteroassociative transformations.
Algorithmic undecidability of recognizing a non-Markovian group property
Authors: Durnev V G , Zetkina A I
Published: May 2021

We prove algorithmic undecidability of the following group property: “the positive theory of a group G coincides with the positive theory of a free non-Abelian group” or (which is equivalent) “the positive theory of a group G coincides with the positive theory of the class of all groups”. This group property is non-Markovian, therefore its algorithmic undecidability does not follow from the fundamental Adyan–Rabin theorem.
Movement of liquid droplets in a shear flow
Authors: Fedyushkin A I
Published: May 2021

The problem of the motion of a particle around a particle in a shear flow for the conditions of weightlessness and normal earth gravity is considered. The cases where the particle density is greater or less than the density of the main buffer moving fluid (oil particles in water and water particles in oil) are presented. On the basis of numerical modeling, the nature of the influences of gravitational, viscous, lifting and frontal forces on the trajectory of fluid particles in a shear fluid flow are shown. of diameter particles. For the considered liquid particles and stratification of the shear velocity field It is established that the minimum distance of approach of liquid droplets is equal approximately 0.07 of diameter particles.
Waveguide phase shifter based on controlled metamaterial
Authors: Ishchenko E A , Pasternak Yu G , Pendyurin V A , Rogozin E A , Fedorov S M
Published: May 2021

The paper present study of the opto-controlled metamaterial integrated into the waveguide design to control the phase of the flowing electromagnetic wave. A change in the metamaterial characteristics occurs when we switching nodes of a system consisting of thin metal conductors. In the course of the study a computer simulation of an electrodynamic system was carried out. It consists of a waveguide with dimensions of 26.4x10.62x200 mm and a metamaterial integrated into the structure, as a result of which, the flowing electromagnetic wave images, phase graphs S21 of the waveguide parameters were obtained.
Horn antenna with integrated metamaterial for beam steering
Authors: Ishchenko E A , Pasternak Yu G , Pendyurin V A , Rogozin E A , Fedorov S M
Published: May 2021

The paper presents a design of pyramidal horn antenna with an active metamaterial integrated in its structure, which allows controlling the direction of antenna radiation in the frequency range from 10.5 to 11 GHz while maintaining a high level of antenna performance and directivity. Pin diodes are used as switching devices located at the nodes.
Optimization of management of scientific departments in departmental organizations
Authors: Kalach A V , Zybin D G , Buharov O E , Baturo A N , Martinovich N V
Published: May 2021

In the paper current types of the organizational management structures have analyzed as well as typical problems of scientific departments are considered and organizational structure is proposed allowing optimization of management for the research center in the frames of organization in a law enforcement agency.
Modeling the solution of some management problems using latent variables
Authors: Kuzmenko R V , Stepanov L V , Moiseev S I , Sysoeva T P , Lukin A N
Published: May 2021

Original approaches to the solution of some common management problems with the use of latent variables are proposed in the work. Calculations of the values of the latent variables in the Rasch model is based on the least squares technique thus allowing to perform computations with the use of standard application packages.
Analysis and investigation of the conservativeness condition in the problem of parametric identification of distributed dynamic processes
Authors: Matveev M G , Sirota E A
Published: May 2021

The problem of bias of OLS estimates arises when solving the problem of parametric identification of distributed dynamic processes. There are various possible solutions to this problem. If the time series is trend-stationary, then these may be “ostationation” methods, which are generally difficult to apply. It is possible to use dimensionality reduction methods, but in this case we will still get biased estimates. In our previous works, it was shown that the problem of biased estimates can be solved using the conservativeness condition. The aim of this work was to investigate the possibility of using the conservativeness condition to improve the quality of estimates of the parametric identification problem, as well as to compare these results with the solution of the problem, in the case of applying a filter to it, as well as ridge regression.
Information support for decision-making in emergency situations
Authors: Nemtinov V , Kalach A , Egorov S , Nemtinova Y
Published: May 2021

In this article, the technology of information support for decision-making in the event of natural and technogenic emergencies is considered. Its implementation was carried out using the created information system (IS) for predicting the consequences of emergency situations, which is based on a single information space of the territory of the subject of the Russian Federation. The paper proposes an approach to creating an IS based on a distributed, peer-to-peer architecture when information resources (in relation to the considered IS) are not only presented as data, but also as various applications of basic ISs. A geographical information system is used as a basic one for solving problems of forecasting development and consequences of emergency situations. The decision support subsystem meets the following requirements: provides forecasts of occurrence and development of emergency situations in the form of predictive bulletins for review and approval of the management; provides paperwork for submission to rapid response services. Calculation of consequences of emergency situations is based on the following methods: assessment of consequences of accidents at explosive and fire-hazardous objects; forecasting and assessment of medical consequences of accidents at explosive and fire-hazardous objects; predicting the extent of contamination with highly toxic substances in accidents (destruction) at hazardous chemical facilities and transport; predicting possible accidents, catastrophes, and natural disasters; assessing damage from man-made, natural and terrorist emergencies, as well as classifying and recording them.
Study of performance and assessment of the state of higher nervous activity of the human operator in the “man-display” system
Authors: Novikova N M
Published: May 2021

The paper discusses the psychophysiological characteristics that describe the state of the nervous system of a human operator when working with a display. Special attention is paid to such characteristics of the nervous system as emotional stability and information transmission rate in the oculomotor system. Methods for measuring these characteristics using digital and literal texts are presented. The measurements were performed using a device developed by the author. The results of the performed experiments make it possible to solve the problem of occupational selection of operators with appropriate characteristics.
Improving the efficiency of heat supply systems for infrastructure facilities by optimizing the pipeline subsystem according to technical and economic indicators
Authors: Popov N N , Khvostov A A , Kalach A V , Ivanova N A
Published: May 2021

The fuel economy, which provides acceptance, storage, preparation and supply of the necessary amount of fuel oil for its combustion in boiler furnaces, is one of the energy-intensive technological subsystems of thermal power plants and boiler houses. The design of new technological pipelines and the modernization of existing pipeline systems for transporting fuel oil involves hydraulic calculations. Generally accepted in practice is the hydraulic calculation of pipeline lines based on the flow continuity equation and the Bernoulli equation for a real viscous liquid, which takes into account the pressure loss due to friction and to overcome local pipeline resistances. With this approach, hydraulic calculation is a multi-variant task, since there are an infinite number of combinations of parameters pipeline diameter - pressure drop, which are not equal from both economic and technical points of view. Research of literature sources has shown the feasibility of conducting hydraulic calculation of pipe-wire lines on technical and economic indicators. As a criterion for optimization of technological pipelines, the total annual costs for the creation and operation of the pipeline, which are a linear superposition of capital and operational costs, are proposed. The paper offers calculation relations for determining the optimal diameter of the pipeline from the condition of minimum total annual costs for its creation and operation, taking into account current prices and tariffs for the pipeline and electricity, pipeline tracing, conditions of its operation, as well as the properties of the transported medium. On the example of a hydraulic installation for pumping fuel oil, computational experiments were performed to assess the influence of the pipeline diameter on its technical and economic indicators and determine the optimal parameters of the fuel oil pipeline.
Solving the problem of service requests based on the algorithm for minimizing the maximum time offset
Authors: Rossikhina L V , Egorov E Yu
Published: May 2021

The article proposes an approximate algorithm for forming the optimal sequences of service requests for repair of ISS elements with a minimum absolute error of the target function. The algorithm includes two steps. In the first step, new policy deadlines are set for the completion of application servicing. In the second step, a well-known algorithm for solving the problem with new Directive deadlines is used to determine the optimal sequence from which the desired solution to the original problem will differ by no more than an absolute error.
On equivalence of PFP-operator and PFP-quantifier
Authors: Sekorin V
Published: May 2021

In this paper we consider two different logic languages. Both of them are extensions of first order logic. The first semantics is obtained by adding a partial fixed point operator. The second semantics is based on considering a partial fixed point as a non-standard quantifier. For this two semantics we demonstrate that they have an equal expressive power. For this purpose we show how to express an arbitrary formula of one logic with a formula of another.
Researching of firewall capabilities during organizing multi-user work
Authors: Stepanov L V , Kuzmenko R V , Mokshin R S , Desyatov D B , Zybin D G
Published: May 2021

Fundamental concept in human life is a concept of a «system». This concept is extended to all of the directions of the human’s activity. A great number of the economic, engineering, biological and many others kinds of the objects are rather complicatedly organized systems. Any system has a great number of parameters which characterize its organization and operation. Among these parameters a special point is associated with system safety. It can be determined as a state of system immunity to the different destructive impacts which can have a negative effect on its operation and/or its structure. In any variant of consideration this system is formed by participants of some relationships and it can have as organizational, as technical or some other nature at one and the same time. Examples of the organizational systems are enterprises, offices and organizations. Examples of the technical structures are infocommunication, telecommunication systems and networks. The performed analysis means a system character not only of the system safety, but also indicates at the aspects that determine safety. Moreover, it is possible to reveal a conflict character of interaction between some aspects of the system safety. This occasion provides a reasonable application for the simulation of the systems in the game theory. Examples of this application are also presented in this article.
Bifurcation of distribution function of electric breakdown voltages of polymer enamel-lacquer coatings
Authors: Virchenko Yu P , Novoseltsev A D
Published: May 2021

On the basis of general physics representations, the statistical model of multilayer enamel-lacquer polymer coatings is proposed. Such coatings contain randomly distributed air inclusions. The solution of statistical problem connected with the distribution of electric breakdown voltages of such coatings permits to explain the observed the violation unimodality of histograms of their dielectric strength.
Analysis and optimization of decision-making in integrated security systems
Authors: Zybin D G , Belokurov S V , Kondratov O A , Sidelnikov A N , Ponomarev E D
Published: May 2021

The paper offers a comprehensive set of characteristics of integrated security systems for electronic document management, which allows conducting research on the degree of protection of such systems from external and internal threats from the point of view of system analysis and modeling their functioning in various conditions. Classification descriptions are given and data analysis is performed when modeling decision-making processes in integrated security systems on the example of responding to threats of information leakage through parametric channels. The optimal set of response measures is given for performing illegal actions by an attacker to intercept information via parametric channels when using the corresponding modes of operation of the TCP Protocol. The type of analytical models of performance characteristics of measures to respond to threats of information leakage through parametric channels is determined by the functional model of such measures. The resulting system-level characteristics of effective response to the threat of information leakage on parametric channels is based on the stochastic representation of the conditions for timely interventions.