Vol 21, No 2 (2016)
- Year: 2016
- Articles: 54
- URL: https://journals.rcsi.science/2686-9667/issue/view/24979
Articles
363-370
ABOUT ANTITONE PERTURBATIONS OF COVERING MAPPINGS OF ORDERED SPACES
Abstract
We consider the problem of existence of a solution x to the equation ψx, x = y , where y is given, the mapping ψ(∙, ∙) acts in ordered spaces, is order-covering with respect to the first argument, and antitone with respect to the second one. The concept of order-covering used in the article was proposed in the joint works of A.V. Arutyunov, E.S. Zhukovskiy, S.E. Zhukovskiy regarding the studies of the mappings’ coincidence points.
Russian Universities Reports. Mathematics. 2016;21(2):371-374
371-374
ON PERTURBATIONS OF COVERING MAPPINGS IN SPACES WITH VECTOR-VALUED METRICS
Abstract
For mappings acting in spaces with vector-valued metrics, the analogues of covering and metric regularity are defined. A theorem on stability of covering property under Lipschitz perturbations is proved. The application of the results obtained to investigation of functional equations is discussed.
Russian Universities Reports. Mathematics. 2016;21(2):375-379
375-379
ONE EXAMPLE OF A VECTOR-VALUED METRIC IN THE SPACE OF NONEMPTY CLOSED SUBSETS OF A METRIC SPACE
Abstract
In the space of nonempty closed subsets of a given metric space, we define a vector-valued metric which differs from the known vector generalizations of the Hausdorff metric. The metric proposed appears in the analysis of multi-valued maps with possibly unbounded images. It allows to get more information about distances between elements of the corresponding sets and turns out to be convenient in fixed point theorems for multi-valued maps.
Russian Universities Reports. Mathematics. 2016;21(2):380-385
380-385
386-391
392-403
DEVELOPMENT OF THE CRITERIA-BASED ASSESSMENT SYSTEM OF THE STUDENTS EDUCATIONAL ACHIEVEMENTS
Abstract
Article is devoted to a problem of estimation of results of the educational activity of school students. The author considers the developed system of the assessment of knowledge, abilities, skills, need of reduction of system in compliance with education goals, suggests to recognize the need to estimate the substantial movement of a student toward the purpose.
Russian Universities Reports. Mathematics. 2016;21(2):404-407
404-407
THE MODIFIED DISCREET FOURIER TRANSFORM BASED ON THE GROUP OF ROOTS OF UNITY
Abstract
In the paper we consider a set of transformations which generalize a standard discreet Fourier transform (DFT). These generalizations are based on permutations for the group of roots of unity. Different permutations define different new DFT’s. On this way we construct transformations with more natural spectral properties. For example in dimension four the standard DFT has incomplete multiple spectrum but almost all newly defined transforms a simple one. We give some numerical computer results and spectral hypotheses. Applications to cryptography is briefly outlined.
Russian Universities Reports. Mathematics. 2016;21(2):408-416
408-416
ON SOLVING LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS
Abstract
We consider some linear functional-differential equations the solutions of which can be written analytically. For these equations we derive the Cauchy function, the Green function for a two-point (in particular, for periodic and aperiodic) boundary value problem.
Russian Universities Reports. Mathematics. 2016;21(2):417-431
417-431
432-436
437-440
A BOUNDARY VALUE PROBLEM FOR ONE TYPE IMPULSE FUNCTIONAL-DIFFERENTIAL INCLUSIONS
Abstract
A boundary value problem for one type impulse functional-differential inclusions with a multi-valued map not necessarily convex-valued with respect to switching in the space of summable functions is considered. Concept of a generalized solution is represented. Existence conditions for generalized solutions are obtained and their estimates are found.
Russian Universities Reports. Mathematics. 2016;21(2):441-449
441-449
INTEGRAL REPRESENTATION OF APPROXIMATING INVERSE OPERATORS FOR HYPERBOLIC RIESZ B-POTENTIAL KERNEL
Abstract
The article deals with the special kernel. The limit of the generalized convolution with this kernel is the inverse operator for hyperbolic Riesz potential generated by multidimensional generalized translation. The integral representation containing Appel F4 function was obtained for this kernel.
Russian Universities Reports. Mathematics. 2016;21(2):450-458
450-458
CLUSTERING OF NEIGHBORHOOD STRUCTURE
Abstract
We define a metric on the set of nodes of neighborhood structure and consider the clustering problem for the structure with respect to the metric, or, what is the same, the problem of constructing the factor-structure. Determined metric takes into account both the connections between the nodes of the structure and the experimental data at the nodes.
Russian Universities Reports. Mathematics. 2016;21(2):459-464
459-464
TRILINEAR NEIGHBORHOOD MODEL OF THE PROCESS OF FORMING THE TEMPERATURE OF HOT-ROLLED STRIP COILING
Abstract
The trilinear neighborhood model of the process of forming the temperature of hot-rolled strip coiling where the parameters are a state, control and information is considered. The purpose of the work is to find the values of the components of the model ensuring steady functioning of the system. The technique of defining the structure of the extrema is presented. The existence condition for extrema is received and checked on a concrete example. The suggestion about the area in which it is impossible to speak with definiteness about stability of the system is made. The hypothesis about a condition of the stable balance loss and of the transition of system to a new state is proposed.
Russian Universities Reports. Mathematics. 2016;21(2):465-472
465-472
473-480
Difference scheme for the numerical analysis of multiphase fluids in hydraulic net-like type at nonisothermal conditions
Abstract
The work is devoted to questions of constructing a difference scheme for the numerical analysis of the migration process of multiphase fluids in hydraulic net-like type and is based on the analysis of the initial-boundary value problems for differential systems with distributed parameters on the network or net-like domains. We present a common approach to the construction of a difference scheme for laminar and turbulent motions of the medium, its properties are investigated: approximation, stability, convergence.
Russian Universities Reports. Mathematics. 2016;21(2):481-488
481-488
Mathematical model of wave process dynamics of multiphase medium spheres in hydrographic network
Abstract
We consider the differential system with distributed parameters on the graph, the state of which is determined by a weak solution of initial boundary value problems for partial differential equations of hyperbolic type. Presents the conditions for the unique solvability of this problem and the conditions of continuity of the solution on the initial data. This means correct problems Hadamard and largely determines the unique solvability of optimization problems by a different type for this kind of systems.
Russian Universities Reports. Mathematics. 2016;21(2):489-493
489-493
Biochemical markers of neuroendocrinal tumors
Abstract
The review considers common concepts of neuroendocrinal tumors (NET). Unlike the other tumors, NET synthesize a variety of biologically active substances (hormones, vasoactive peptides, amines), which is their main feature with multiple consequences which lead to the development of distinct clinical presentations. The most important circulating biomarkers of NET are characterized with a description of their biological effects, analytical aspects and different endogenous and exogenous factors influencing on their determination. The clinical value and algorithm for their use in different types of NET are presented. The diagnostic sensitivity of CgA as the most significant biomarker, and the recommendations about its using in diagnostics, monitoring and prognosis of NETs are characterized.
Russian Universities Reports. Mathematics. 2016;21(2):494-510
494-510
Clinical significance of endothelium of vessels in blood serum and urokinase-type plasminogen activator in tumour at mammary gland localized cancer
Abstract
The contents of VEGF in blood serum and of uPA in tumor cytosols of 248 breast cancer patients and 55 healthy women were evaluated by EIA methods. No links were found between VEGF, uPA and age, reproductive function and also (RE)(RP)(HER2-neu)-status of patients. Reliable correlations were found between VEGF and uPA levels and stage and malignancies degree of breast cancer by multifactor analysis. Also association between serum VEGF and tumor cytosols uPA levels in T1 and T2 stages was shown in general group of patients ( r = 0.67; p = 0.001), this correlation was more expressed in lobular infiltrative breast cancer ( r = 0.92; p = 0.001, and significantly less expressed in ductal infiltrative breast cancer ( r = 0.49; p = 0.01).
Russian Universities Reports. Mathematics. 2016;21(2):511-519
511-519
INDIVIDUAL DIFFERENCES OF SURGERY ANATOMY OF THYROID GLAND: LITERATURE REVIEW
Abstract
The literature review presents the differences in surgery anatomy of thyroid gland according to the data of native and foreign literature including the results of their own researches, carried out before (N.A. Ognerubov). The differences of its some anatomic indices such as linear sizes, form, presence of lobes, differences in blood supply and innervation depending on sex and type of neck build. The existing variants of individual changeability must be taken into consideration while personalized surgery treatment of patients with non-malignant and malignant growth of thyroid gland.
Russian Universities Reports. Mathematics. 2016;21(2):520-529
520-529
Giant lipoma of chest wall: case description and literary review
Abstract
The analysis of literary data, devoted to different questions of giant lipoma is given. The interpretation of this term, reasons of development, clinical peculiarities are presented. The basic method of this disease treatment of surgery. Besides, there are instructions for lipoplasty use. The authors give a case description of giant chest wall lipoma in patient who was 88 years old with successful surgical treatment. The case is interesting because the tumour was diagnosed 62 years age. Available literature does not give such long-lasting tumour keeping in this age period. During examination through 14 months the patient is alive, the evidence of disease return are not noticed.
Russian Universities Reports. Mathematics. 2016;21(2):530-535
530-535
Multi-wave laser influence in treating anisometropic amblyopia of average degree in children
Abstract
Anisometropic amblyopia is a complicated form of amblyopia, in the development of which several etiological factors are of importance. Visual acuity improvement is an important task in anisometropic amblyopia. The accommodation in disbinocular amblyopia was previously studied; the role of accommodotrainings efficacy in pleoptic treatment of disbinocular amblyopia is proved. The aim of our study is to assess the efficacy of complex pleoptic treatment of average anisometropic amblyopia using the laser radiation. 157 patients (157 eyes) aged 4 to 9 years old with anisometropic amblyopia of average degree and central or non-steady central fixation were followed up. All patients underwent laser therapy in combination with the other pleoptic treatment. The patients were divided into three groups. The patients of the group 1 were treated with “red” laser, group 2 - “green” laser, group 3 - interchange of these procedures (multi-wave laser therapy). The visual acuity and coefficients accomodography is evaluated. All patients had similar clinical picture - decrease in accommodative response coefficient and visual acuity increase as a result of treatment.
Russian Universities Reports. Mathematics. 2016;21(2):536-539
536-539
Optical coherence tomography angiography in the diagnosis of choroidal neovascularization in age-related macular degeneration
Abstract
The modern methods of diagnosis of choroidal neovascularization in age-related macular degeneration (AMD) including the atypical forms - polypoidal choroidal vasculopathy (PCV) and retinal angiomatous proliferation (RAP) are presented. Special attention should be paid to a new up-to-date diagnostic method - optical coherence tomography angiography (OCT-angiography) which is noninvasive, safe and allows performing the investigation of the vascular structures in three-dimensional space. It has high sensitivity and specificity in the detection of choroidal neovascularization in AMD. In some cases, this is a great alternative to the diagnostic methods of investigation with contrast.
Russian Universities Reports. Mathematics. 2016;21(2):540-544
540-544
Parry-Romberg syndrome. Medical case
Abstract
A rare disease - progressive hemifacial atrophy or Parry-Romberg syndrome in a female patient aged 21 years old is described. The data of etiology, examination and clinical course of the disease are presented. The typical ophthalmological and clinical symptoms are described, on the basis of which it is possible to make the diagnosis. We listed the factors determining the severity of the disease and possible treatment of this syndrome. The stages of conservative treatment, expediency and surgical treatment terms, the prognosis of the disease for a patient’s life and recovery are determined.
Russian Universities Reports. Mathematics. 2016;21(2):545-548
545-548
Corneal dermoid. Goldenhar syndrome. A case report
Abstract
Corneal and conjunctival dermoid in children is related to the congenital malformations, accounts for about 22 % of benign tumors, occurs in the first months of life, is usually combined with the other malformations, occurs frequently in symptom complexes (e.g. Goldenhar syndrome, Treacher Collins syndrome, Franceschetti syndrome). The article presents a rare clinical case of the patient K. aged 1.5 years old with Goldenhar syndrome, submitted for examination to the children’s department of Tambov branch.
Russian Universities Reports. Mathematics. 2016;21(2):549-551
549-551
Diabetic retinopathy. The role of outpatient care in early diagnosis. Treatment. Prognoses
Abstract
For many years, diabetes mellitus (DM) remains a socially significant disease leading to disability and mortality due to the accompanying micro- and macrovascular complications. Diabetic retinopathy is one of the most dangerous complications of DM, leading to the progressive visual acuity reduction up to its lost. In patients with DM and its complication - retinopathy is often detected at the time of making the primary diagnosis at the level of outpatient care, which is primary and key in the early diagnosis and detection of eye diseases at an early stage. Timely detection and treatment of diabetic retinopathy can provide with the achieving a long period of normal functioning of the eye.
Russian Universities Reports. Mathematics. 2016;21(2):552-556
552-556
Colored Doppler mapping in differential diagnosis of uveal melanoma
Abstract
Taking into consideration the topical problem namely the diagnosis and differential diagnosis of uveal melanoma (UM) using the method of coloured Doppler mapping (CDM) allowed judging about the blood flow status in the UM tumors and magistral ocular vessels in real time, as well as using this method as one of the differential diagnostic methods in UM diagnosis.
Russian Universities Reports. Mathematics. 2016;21(2):557-560
557-560
Analysis of heterogeneity of some morphological, anatomical and biochemical characters at atherosclerosis in patients with acute myocardial infarction and unstable stenocardia in the Tambov province
Abstract
It was established on the basis of research of frequency of acute coronary syndrome that men are more subjected to ischemic heart-diseases and to acute disturbance of cerebral circulation in comparison with women. Study of the biochemical blood analysis permit to trace an inverse correlation between the frequency of the patient’s smoking and the level of high density lipoproteins, as well as the direct correlation between the frequency of smoking and the indices of lipoproteins of low density and atherogenic index.
Russian Universities Reports. Mathematics. 2016;21(2):561-566
561-566
Middle ear inflammatory diseases in congenital cleft palate nonunion
Abstract
The article presents the results of the study of the incidence and characteristics of the course of otitis media in 168 patients with congenital cleft palate. Inflammatory diseases were detected in 72 (44.4 %) patients. It was found that the removal of inflammatory diseases of the middle ear depends on the patient’s age at the time of surgery, recovery of muscles of the soft palate and the availability of relapse history of the patient.
Russian Universities Reports. Mathematics. 2016;21(2):567-570
567-570
Surgical treatment of patients with repeated tubal pregnancy in a previously operated tube
Abstract
Results of repeated microsurgical restoration of patency only fallopian tube in 22 patients who had had tubal pregnancy with the appropriate localization are studied. It was found that 13.6 % (3) patients after repeated restoration of the fallopian tube, term delivery were observed, with two cases - two more times. In addition, 6 patients in the study group were observed onset of uterine pregnancy, abortion with further for various reasons, which, however, shows the restoration of physiological cross tube.
Russian Universities Reports. Mathematics. 2016;21(2):571-573
571-573
Efficiency of augmentation mammaplasty depending on the shape and volume of implant
Abstract
The influence of the shape and form of the surface of silicone implants on the development of postoperative complications and long-term aesthetic effect are assessed. It was found out that the best esthetic results were achieved in the group of patients who teardrop-shaped implants with a rough surface. In the group of patients who received round implants with a smooth surface some complications were registered as some technical difficulties during performing operation, longer preservation of drainage tubes, long postoperative scars.
Russian Universities Reports. Mathematics. 2016;21(2):574-576
574-576
577-581
Defects of medical care provision: basing on the nurses’ errors
Abstract
The article specifically and systematically studied the actual problems of the causes of nursing errors and their prevention. On the basis of a survey of nurses collected relevant material and system that allows a representative to investigate the stated research problem. This article summarizes the domestic and world experience analysis of the causes of nursing errors, their structure and the main causes and factors of their occurrence are given. Self-assessment of nurses of occurrence of nursing errors as well as the role of doctors in manifestations of the defects of medical practice are updated. The conclusions about the influence of syndrome of emotional burnout, overload in work, inattention to the causes of nursing errors. Attention is drawn to the importance of legal training for health workers and their interaction with structures for the protection of the rights of both health workers and patients. It is proved that only the attraction to study the stated research problem stakeholders: senior and chief nurses, doctors and patients are able to provide an objective picture of the causes of nursing errors. The impact of the quality of education and practical experience in the prevention of nursing errors in hospitals of the Russian Federation is clarified.
Russian Universities Reports. Mathematics. 2016;21(2):582-591
582-591
METHODS OF ARTIFICIAL INFECTION OF SUNFLOWER TOADSTOOL OF GENUS FUSARIUM LINK ET FR. IN THE CONDITIONS OF TAMBOV REGION
Abstract
At the result of long-lasting (1992-2015) observations in Tambov region at minimum 14 species of toadstool of genus Fusarium Lk. et Fr. were registered, five of which ( F. oxysporum (including F . oxysporum var. orthoceras ), F. verticillioides , F. tricinctum , F. sporotrichioides ) are highly harmful. The work presents the results of research on use of some methods of artificial infectious background creation F. oxysporum , F. verticillioides и F. sporotrichioides , many of which are were considered to be harmful to be used in the conditions of Tambov region. The necessity to create new, adopted to the conditions of Tambov region method for studying the resistance of sunflower to Fusarium root rot. The results of research showed the possibility of resistant to Fusarium root rot plants by method of sowing the infected seeds.
Russian Universities Reports. Mathematics. 2016;21(2):592-597
592-597
Prevalence and development of leaf spottiness agents on the territory of central and black earth region
Abstract
On the basis of the survey, it was found that the leading position in the Tambov province occupy septoria blotch (Septoria tritici Rob. et Desm., Stagonospora avenae f. sp. triticea Jons., Stagonospora nodorum [Berk.] Castellani et E.G. Germano), rust diseases (leaf rust Puccinia recondita Rob ex Desm. f. sp. tritici), pirenoforosis (Pyrenophora tritici repentis), alternariosis spot (pathogen - Alternaria spp.). We believe that in order to stabilize the phytosanitary condition of agroecosystems priority is the systematic monitoring of population structure of plant pathogens in the territory of the Central Black Earth region for the implementation of accounting frequency of occurrence of the species to determine their position in the phytocenosis and their dynamics.
Russian Universities Reports. Mathematics. 2016;21(2):598-602
598-602
THE DEPENDENCE OF THE YIELD OF MILLET ON THE WEATHER FACTORS IN THE CONDITIONS OF THE TAMBOV PROVINCE
Abstract
Many cultural plants including millet grow in the Tambov province. Their productivity depends on forming conditions of the weather. Not all weather factors render the solving influence upon value of the harvest. The leading role belongs to the total precipitates and temperature of the air. The given factors influence on productivity of the plants in determined period of their development. Discovery of leading factors of the weather and period of their influence on plants allows forecast the productivity of the crops. The purpose of the study is to study dependence of productivity of the millet’ plants on weather conditions of vegetative period. The long-term data of field experience and results of the meteorological observations were used in work. The mathematical calculations were conducted with use of computer technology and program Excel. It was established that the factors of the weather of the May and June have significant influence on productivity of the culture. This factor in the most degree depended on hydrothermal conditions. The value of correlations ( R ) between productivity of millet and hydrothermal coefficient (HTC) of the May was 0.735, June - 0.600, for the whole period - 0.931. The high level of productivity of the culture (2.11-2.93 t/h) was registered in years, when HTC for above named period was on the level 1.16-2.00. In years with low productivity of millet (1.32-1.89 t/h) the hydrothermal coefficient for period May-June was at a rate of 0.21-0.83. Equation of rectilinear regression was received, reflecting given dependency. The retrospective analysis shows satisfactory convergence of expected and actual productivity of the culture.
Russian Universities Reports. Mathematics. 2016;21(2):603-605
603-605
Goodness of spring wheat sorts
Abstract
The long-time data on the parameters of the spike spring wheat varieties are presented. The analysis of spikes variability depending on environmental conditions both the variety within and between varieties is given. The connection of the individual elements of the spike productivity is shown.
Russian Universities Reports. Mathematics. 2016;21(2):606-610
606-610
Influence of lax ear on potential ear productivity
Abstract
The long-time data on the parameters of the spike spring wheat varieties - Favorite and Torridon are presented. Lax ear in the spikes of individual varieties, depending on external conditions are analyzed. The real and potential productivity of the spike is analyzed.
Russian Universities Reports. Mathematics. 2016;21(2):611-614
611-614
The Waz-Abaa cave - an important shelter for bats (Chiroptera) of Abkhazia
Abstract
The bat fauna of the Waz-Abaa cave long remained poorly studied. Ecology of bats in the cave was not known; the species composition in it needs to be clarified. The article presents data on the eight species that have been recorded in the cave, including three species for the first time. Information about hibernation in the cave of six bat species and nursery colonies of three species is presented. Large colonies of troglophilic bats that were found in the Waz-Abaa cave need the full protection.
Russian Universities Reports. Mathematics. 2016;21(2):615-618
615-618
INFLUENCE OF THE CHANGE OF THE SPATIAL POSITION OF THE PERTURBATION OF THE DOPING CONCENTRATION ON THE CURRENT-VOLTAGE CHARACTERISTIC IN THE SEMICONDUCTOR SUPERLATTICE
Abstract
In the present paper the influence of the change of the spatial position of the perturbation of the doping concentration on the electron collective dynamics in the semiconductor superlattice is considered. It is shown that the amplitude and frequency of the current oscillations in superlattice distinct dependence sufficiently on the spatial position of the perturbation.
Russian Universities Reports. Mathematics. 2016;21(2):619-623
619-623
Statistical characteristics of noise-induced intermittency in erbium-doped fiber laser
Abstract
In this paper we present the results of numerical studies of noise-induced intermittency in the erbium-doped optical fiber laser with a modulated parameter. We propose modified wavelet-based method for the determination of the statistical characteristics of intermittent behaviour and using this technique obtain dependences of the average duration of the existence of different oscillation regimes on the critical parameter in the erbium-doped optical fiber laser.
Russian Universities Reports. Mathematics. 2016;21(2):624-629
624-629
Modeling of healing process of cracks in nanostructured metal alloy processed by a series of laser impulses
Abstract
The main model parameters of cracks healing in thin films of amorphous-nanocrystalline metal alloys under the action of pulsed laser radiation are discussed. The proposed model adequately describes the healing process of little angle cracks oriented parallel to the sample surface. After exposure to 8-12 impulses more than 90 % of the cracks described in the model are healed. It is shown that increasing the number of pulses more than for 12-15 without increasing the effectiveness of the heal leads to melting of the material and starting the process of recrystallization. The proposed model allows determine the optimal parameters of selective laser treatment.
Russian Universities Reports. Mathematics. 2016;21(2):630-634
630-634
Kinetic patterns of growth of anodic oxide film on niobium and titanium in non-aqueous solutions
Abstract
The work is devoted to kinetics of anode oxide formation on titanium and niobium in non-aqueous perchlorate media. Kinetic regularities are defined in active and passive areas of potentials. Diffusion coefficients, variables of polarizability and dipole moments are calculated with consideration of intermolecular interactions. The change of the logarithmic kinetic equation by the parabolic equation is result of increasing diffusion restrictions with the growth of the reactive field energy and decreasing solvent dipole moment.
Russian Universities Reports. Mathematics. 2016;21(2):635-641
635-641
642-649
Diffraction research of porosity of cellulose acetate COMPOSITE membrane MGA-95
Abstract
Method of X-ray diffraction was used for research of sorption regions of air-dry, water-saturated and working samples of a semi-permeable membrane MGA-95. Comparative analysis of the diffraction patterns of new and working membrane’s samples shows that factor of external influence plays only a catalytic role in the transport of material, but not on the intramolecular structural changes in base of cellulose acetate semi-permeable membrane. There was found the structure of membrane MGA-95 pores by small-angle X-ray scattering, which was calculated from the position of the fractal concept, where there are three kinds of pores (sphere, disc, cylinder) and determination of their average inertia radius.
Russian Universities Reports. Mathematics. 2016;21(2):650-654
650-654
Empirical model of ultra-filter protein concentration in cheese whey
Abstract
Empirical model of ultra-filter protein concentration in cheese whey is developed. The check of empirical model adequateness is made by comparison of experimental and estimated data. Defection of estimated data of experimental did not overgrew 10 %.
Russian Universities Reports. Mathematics. 2016;21(2):655-660
655-660
Use of radial distribution function in research of structural characteristics of cellulose acetate membrane MGA-95
Abstract
Methods of research of structural characteristics of cellulose acetate membrane with the help of function of radial distribution is given. Direct estimation of radial distribution calculation on the formula with accuracy not less than 5 % is made. The data for characteristic curves of radial distribution for membrane MGA-95 specimens airdry and aquic state are received. The analysis of dependencies of radial distribution from the position of distance change in neighboring atoms that influences the size of pore diameter, selective and passable features of polymeric membranes.
Russian Universities Reports. Mathematics. 2016;21(2):661-664
661-664
665-667
Methods and facilities for the automatic contrast of the neural network
Abstract
The aims and methods of staining of neural networks are considered. An automatic method for staining the network based on an assessment of the importance of relations with the use of statistical information on the operation of each neuron network is proposed. The method of automated pre-semantic analysis of the network structure subjected to contrasting is described.
Russian Universities Reports. Mathematics. 2016;21(2):668-670
668-670
Correlation-regression analysis and basic indices prediction of region development (basing on the example of Tambov oblast)
Abstract
The article analyzes the degree of dependence and the closeness of the connection (correlation) between the gross regional product and the main indicators of the development of the region (Tambov oblast). Graphical and mathematical models of the dependence are built. Prediction is made and trend model of all indicators for 2018 is graphically presented, taking into account the existing set of indicators in dynamics.
Russian Universities Reports. Mathematics. 2016;21(2):671-675
671-675
Structural characteristics of information network on the basis of the spectral analysis of topology
Abstract
The work shows the possibility of the spectral analysis application of counts when calculating the information networks (IN), including mobile, on the basis of identification of communication of their main structural characteristics and own values of matrix of contiguity. In relation to tensor methodology of the analysis of IN values of a range of the count allow to define a set of chains of the closed type that in turn facilitates a problem of systems of coordinates definition of conditions of stationary IN information space.
Russian Universities Reports. Mathematics. 2016;21(2):676-680
676-680
681-689
Models identity of voltage-current characteristic
Abstract
Identity of mathematical models of voltage-current characteristics (VCC) in the integrated and differential, complex and operator, differential and algebraic forms caused by redundancy of representation because of adequacy to physics of natural experiment for systematization of regularities in technology of computer analyzers design of structure and properties of substances is proved.
Russian Universities Reports. Mathematics. 2016;21(2):690-697
690-697