Scientific Journal of KubSAU

In this article, the generic polynomials for cyclic groups of order 4, 8 and 16 over fields with characteristic two are constructed. With this construction, the generic polynomials for all cyclic 2-groups over fields with characteristic two can be obtained. We also give survey of known results of generic polynomials for the cyclic groups.

The concept of generic polynomial appeared in Saltman’s works at the end of the last century and it is connected with the inverse problem of Galois theory, which is still far from its complete solution. Let G be a finite group and K be a field, the polynomial f(x,t1, … , tn) with coefficients from the field K is generic for the group G, if Galois group of this polynomial over the field K(t1, … , tn) is isomorphic G and if for any Galois extension L/K with Galois group isomorphic G there are such values of parameters ti = ai , i = 1,2, … , n, that the field L is the splitting field of the polynomial f(x,a1, … , an) over K. Generic polynomials over a given field K and a given finite group G do not always exist, and if they exist then it’s not easy to construct them. For example, for a cyclic group of the eight order C8 there is no generic polynomial over the field of rational numbers Q, although there are found specific polynomials with rational coefficients having Galois group isomorphic C8. Therefore, this is of interest to construct generic polynomials for the group G in cases when G is a direct product of groups of lower orders. In this study we show to solve this problem in case when G is a direct product of certain cyclic groups and there is a type of corresponding generic polynomials. Moreover, we give constructions over the fields of characteristic 0 and over the fields of characteristic 2

One of the key problems facing medicine is the correct diagnosis given in a timely manner. For all the existence of medicine, humanity has accumulated a lot of knowledge in this area. According to this knowledge, new specialists are trained. But there is so much information that it is sometimes impossible to find the right information in it in time, and this can cost the person who came to see a doctor very expensive. In this specialist comes to the rescue computer. Information technologies, training in information bases perfectly cope with the task of identifying the disease and providing the most appropriate information

In this article, we present the fundamental theorem of arithmetic and its role. We consider various rings for its performance

This article briefly discusses a new innovation (brought to a level that ensures its practical use) method of artificial intelligence: automated system-cognitive analysis (ASC-analysis) and its programmatic toolkit which is called intellectual system "Eidos". A detailed numerical example of the solution demonstrating the technology of creating a veterinary diagnostic test of gastrointestinal diseases of horses is given. As the source data, we use data from the UCI repository, kindly given by Mary McLeish and Matt Cecile (Department of computer science of University of Guelph, Ontario, Canada N1G 2W1, with the support of a sponsor: Will Taylor. The developed test is used to solve the problems of diagnosis, decision support and examining the simulated subject area by studying its model. The results of the study can be used by anyone, due to the fact that Eidos the universal automated system, which is a tool of ask-analysis, is in full open free access on the author's website at: http://lc.kubagro.ru/aidos/_Aidos-X.htm, and numerical examples of solving veterinary problems with the use of artificial intelligence technologies are placed as a cloud Eidos-application 129

This work continues the series of works written by the author on the application of modern scientific methods in the study of human consciousness. In 1979-1981, two monographs were written devoted to higher forms of consciousness, the prospects of man, technology and society. One of these monographs was two-volume and was called "Theoretical Foundations of the Synthesis of Quasi-Biological Robots." In these monographs the author proposed: 1) criterial periodic classification of 49 forms of consciousness, including higher forms of consciousness (HFC); 2) based on this classification, there were psychological, microsocial and technological methods of transition between various forms of consciousness, including methods of transition from the usual form of consciousness to the HFC; 3) information-functional theory of the development of technology (including the rule of improving the quality of the basis); 4) information theory of value; 5) 11 functional schemes of technical systems of future forms of society, including remote telekinetic (mental) control systems; 6) the concept of development of society in groups of socio-economic formations; 7) the concept of determining the form of human consciousness by the functional level of the technological environment; 8) mathematical and numerical modeling of the dynamics of the probability density of states of human consciousness in evolution using the theory of Markov’s random processes. In this study, we carry out a complete automated system-cognitive analysis (ASC- analysis) of the periodic criteria classification of forms of consciousness proposed by the author in 1978. To this end, the following tasks are solved in the work: cognitive structuring and formalization of the subject area; synthesis and verification of statistical and system-cognitive models (multi-parameter typification of forms of consciousness); systemic identification of forms of consciousness; their typological analysis; investigations of a simulated domain by examining its model. We have also given a detailed numerical example of solving all these problems

There are many opinions on the question of what kind of society we live in at the beginning of the XXI century. Previously, it was believed that this is a post-industrial society. There was even an opinion that it would be a society of developed socialism or even a communist society. After that, the opinion on this has changed. First, modern society was called the information society, and then the society based on knowledge. The latest news in this area is that it seems that modern society is a digital society, that is, a society, based on digital technologies, digital communications, digital information processing and transmission technologies, as well as digital artificial intelligence technologies. In a digital society and science people must move to digital intelligent research technologies. In particular, the question arises as to whether veterinary medicine in a digital society should not also become cognitive veterinary medicine. This work is devoted to a detailed and reasoned (according to the authors) answer to this question. The methodology and terminology in this new field is not yet established and is not generally accepted. Therefore, in this work a lot of attention is paid to the logic and methodology of scientific knowledge, terminological issues and definitions of concepts

In the article, we develop the methodology of strategic planning and management of the holding on the theoretical basis of automated system-cognitive analysis (ASC-analysis). This methodology provides scientific research of any holding by creating and researching its model. The methodology includes both the synthesis, adaptation and verification of system-cognitive models of the holding, and the use of these models for strategic planning and decision support for managing the holding, as a complex, multiparametric, nonlinear system. The relevance of the research is due to the special role of holdings and other corporate integrated structures both in Russia as a whole and, in particular, in the Krasnodar region. Despite obvious system advantages, holdings face a wide range of problems related to management efficiency, ensuring their sustainable functioning, etc. The proposed methodology offers ways to solve these problems and can be successfully applied in holdings and other corporate integrated structures of various regions, volumes and areas of activity, which determines the relevance of the research topic. The level of significance and scientific novelty of the Research consists in the development of conceptual and theoretical and methodological provisions aimed at managing the development of holdings. The expected results and their significance are that the methodology developed as a result of the Research can be applied by holding companies and other corporate integrated structures and will significantly improve the quality of their management

A number of authors (Milaeva I. V., Zaitsev S. Yu., Dovzhenko N. A., Tsarkov D. V., Tsarkova M. S., 2015) have proposed a regression model and a method for indirect measurement of fat and protein content in cow's milk by its dynamic surface tension, which has a number of advantages over the traditional approach. The model reflects the objectively existing relations between the content of fat and protein in cow's milk and parameters of centigrams of dynamic surface tension at the interface of the milk/air. These relationships are revealed by the authors of the method wit mathematical processing of 112 empirical samples. For this purpose, they have applied regression and correlation analysis (in MS Excel). Since the content of fat and proteins in milk largely determines its quality, this problem refers to the problems of qualimetry. However, this problem of qualimetry also refers to typical problems of pattern recognition (multi-parameter typing and system identification), and therefore it is possible that the quality of its solution can be improved by the use of artificial intelligence methods, in particular cognitive and information technologies. Moreover, these relationships are quite complex. The use of intelligent technologies also creates additional opportunities for the study of the simulated subject area by studying its model. All this is of great scientific and practical interest for both researchers and practitioners. To solve all these problems in the work we have applied Automated System-Cognitive analysis (ASC-analysis) and its software tool which is an intelligent system called "Eidos". A numerical example based on real data has been considered in detail as well

Sommelier evaluates the quality of wine on the basis of their subjective feelings. At the same time, what the sommelier says when evaluating wine, it is difficult or impossible to rationally understand for the uninitiated to this art. The process of assessing the quality of wine by sommelier can not be formalized and is carried out entirely at the sensual level. Sometimes, different sommeliers differently evaluate the same wine poured from the same barrel into bottles of different prestige, with stickers differing in the number of stars. This raises at least two legitimate and natural questions. The first question is whether any subjective sommelier evaluations of the quality of wine are connected with its objective physical and chemical properties? The second question arises in the case of a positive answer to the first one: is it possible to analyze the objective methods of physical and chemical properties of wine to predict its subjective assessment by various sommeliers or some "generalized sommelier", generalizing many such subjective assessments? This article is devoted to obtaining reasoned answers to these questions. The purpose of this work, which is of great scientific and practical interest, is to create a model that provides an automated assessment of the quality of wine based on the analysis of its objective physical and chemical properties, coinciding with its sommelier-evaluation. To achieve this goal, we use Automated system-cognitive analysis (ASC-analysis) and its software tools – the intelligent system called "Eidos". A detailed numerical example based on 1599 real-world examples of sommelier evaluation of wine quality with known physical and chemical properties is considered. In addition to the answer to the two questions in the article, there is a study of the created system-cognitive model