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
The ensuring of high rates of development and growth of competitiveness of tourism organizations in the long term, especially in the context of economic sanctions is predetermined by the level of investment activity. In a competitive environment, the most important factor of profit maximization is investing in business diversification. The object of our research was Sochi Seasons LLC, Sochi. The main activity of the organization is reservation services in the sphere of tourism, transport travels in the Kuban and Abkhazia and various excursion programs. The analysis shows that the unstable growth of profitability indicators of economic activity does not contribute to ensuring the competitiveness and investment attractiveness of the organization, it is a brake on investment processes. The results of SWOT-analysis in the organization testify to the difficulties of the firm's position in the market. In Sochi Seasons LLC, in order to increase the efficiency of investment activities are proposed: business diversification; improvement of commercial activities. The creation of a tourist cafe in the Krasnaya Polyana area along the route of tourist routes is a profitable business with great potential for development. Evaluation of economic efficiency indicates the feasibility of investing in a project that is characterized by an average degree of risk. The system of commercial, organizational and financial functions aimed at the most complete and rapid satisfaction of the demand of tourism services consumers should provide for: a comprehensive study of the state of the tourism market and the prospects for its development; perfection of forms, methods of realization of services; improvement of pricing policy; organization of advertising activities; forming of a strategic marketing plan
The article highlights high level of agricultural production and promising export potential of the Krasnodar region. The authors provide analysis of market segments of export growth in grain business, consider opportunities of increasing competitiveness by improving production of grain, import substitution, and focusing on export. It is noted, that the cost of imported food in value chain terms in our country had reached an enormous rate, and that government had realized the need of strengthening food security and transferring production of traditional produce, which are forming the basis of consumption of the local population, to the domestic market. The authors point out that we need temporary moderate state protectionism and protection of the domestic market with the aim of modernizing the economy, attracting investors in the important fields of production with high risks. The main problems and solutions that will help to further successful implementation of this strategy in the sectors of grain economy are also defined. The article shows that the Krasnodar region has the most effective rural industrial structure, the best climate in the country, enlarged crop rotation, cheap labor resources, extensive experience in agricultural business. The authors propose adopting a set of measures of reducing systemic risks and enhancing competition in grain business; to reduce lending rates to 3-5 % to revive the lost ground in livestock breeding, particularly in pig and cattle, the basis of which is the production of grain, and also improve the scheme of distribution of state support
The article presents the results of studies on the influence of the conditions of the Piedmont horticulture zone of the Krasnodar region and the shape of the crown on the productivity of apple trees. Objects of study were trees of winter apple varieties Idared and Renet Simirenko grafted on MM 106 rootstock. The trees were planted according to the 5 × 3 m pattern. In the eighth year, the rounded crowns were transformed into flattened across the row (from the eastern and western sides of the tree) to crown width 2.0 ... 2.5 m. Orientation of rows was from east to west. The garden is located on the northern slope with a slope of 3 degrees. Scheme of experiment: option 1 - sparse-tier crown (control); option 2 - flattened crown. In the experiment, 2 variants; in each variant, 10 typical trees were taken. Repetition tree plot. The place of the experiment is Abinsky district of the Krasnodar region. Agrocounts of indicators of fruiting of apple trees were carried out according to generally accepted methods, statistical processing of research results was carried out by the method of analysis of variance described by B.A. Dospekhov. The results of our studies showed that flattening the crown of apple trees contributes to an increase in the number of fruits formed on them per unit volume of the crown in the variety Idared to 10.1 kg or 1.87 times, and per m2 of the projection of the crown to 15.5 kg or 1.72 times more than crowns without flattening. In the variety Renet Simirenko, the number of fruits according to the same indicators increases by 1.86 and 1.74 times. Also, when flattening crowns, the yield of apples from one tree in the Idared variety increases by 9.6%, and in the Renet Simirenko variety decreases by 7.7% compared with the control
This article deals with the problems and prospects of
development of the digital economy of Sub-Saharan
Africa. The work will examine the relationship
between the development of new information and
communication technologies (ICT) and the formation
of civil society in the region. The stages of
implementation of Internet technologies will be
explored. The development in different countries
according to national circumstances, understand the
basic functions of the new ICT in the development of
civil society and freedom of expression and
development trends in the region will be studied.
Africa itself is not the leader in terms of providing
access to a communication area, only 13% (according
to research by the World Bank), the inhabitants of the
continent using the Internet. But it’s observed in
Africa a high growth of the World Wide Web users in
a relatively short period. Subsaharan Africa is one of
the developing parts of Africa, taking into account the
higher interest of the residents, technology is
developing faster and the communications is the
higher quality, The reason why young people have
access to educational, take part in the dialogue with
people from different countries, learn about the labor
market, are part of a large community of interest, and
in consequence are more critical of what is happening
around. The article gives a definition of "digital
economy" ; the graphs and charts that reflect the level
of ICT development and participation of civil society
in their distribution ; the participation of civil society
in their dissemination ; review: dynamics of
development of the digital economy, dynamics of the
African telecommunications market, mobile market
and all in the region's economy, the incredible pace of
development of Internet technologies, socio-economic
problems and challenges, the emergence of new jobs,
new technology is providing the usual banking
services, the emergence of e-government and its
impact on the quality of customer service, the
appearance of new educational technologies and
resources, prospects of technology development and
society under the influence of these technologies and
more are considered. the data of the World Bank, the
UN, Wireless intelligence, PwC, Internet world stats, UIT, GSMA, eMarketer, CNUCED and others. It is a
question of purely African technologies like M-Peza,
SenGeoSante, Medafrica, Mpedigree, Matibabu and
others are used in the article
The relationship of Mathematical Statistics (wider -
Mathematical methods of research) and history is
multifaceted. In our opinion, the history of
mathematical statistics is an integral part of this
mathematical discipline. We have given a review of
our works on the history of statistical methods. The
role of mathematical statistics for the history is very
important. In this article, we restrict ourselves to the
questions of chronology. For centuries, the
chronology is considered as a part of applied
mathematics. The main problem is that the whole
"common" concept of the Russian and the World
history as a whole presented in textbooks was faked
by the opponents of Russia after the collapse of the
global Empire (Russian kingdom) in the early 17th
century - 400 years ago. The stories about historical
events are the information weapon. It was used by
the new rulers to suppress the resistance of the
vanquished. A new mathematical and statistical
chronology of general and Russian history, which
was built by a scientific team led by Academician
Fomenko, has been helpful for the discussion about
the current economic and political problems of
relations between Russia and the West in the XXI
century. In our opinion, the new chronology of the
World and Russian history should be one of the
foundations of state-patriotic ideology and deriving
practical solutions. The purpose of this article is to
give the initial idea of the new chronology from this
point of view
The article considers a combination of the process-based and systematic approach in the management of OSH at the enterprise for the development of the OSH management system model. The OSH management system is created by the enterprise based on the model provision, the branch requirements and recommendations of the current standards. Features of the system are determined by the state of the external and internal environment of the enterprise (context). The context forms the basic requirements for the inputs of the system and determines its capabilities. An analysis of the context of the enterprise makes it possible to identify the system: describe its inputs and outputs, identify key stakeholders and consumers. Based on this analysis, a model of the OSH management system is suggested, which, in analogy with the modern model of the quality management system, allows us to identify the place of the OSH in the context of the organization, and also to clarify the interaction of the main groups of OSH
The given international scientific-practical conference
has become a platform for the exchange of scientific
knowledge between young and experienced scientists,
practitioners, representatives of power structures.
Including before its participants were representatives of
CEMI RAS, Moscow state University, St.
Petersburg state University, Financial University under
the Government of the Russian Federation, Public
chamber of the Russian Federation, foreign universities
(National agrarian University of Armenia); well-known
scientists from leading universities of the South of
Russia. The main organizers of this school were the
Krasnodar branch of Financial University under the
Government of the Russian Federation, the Krasnodar
regional public charitable Foundation of " Scientific and
educational initiatives of Kuban", Southern Institute of
management (Krasnodar)
The results of the study farm «Zavet Ilyicha» JSC,
Leningrad district of Krasnodar region, are presented
in article to study the role of rolling phosphorus in soil
samples, organic fertilizers and grain output of winter
wheat. We examined the relationship between the
content of phosphorus in the soil and fertilizers are
introduced and subsequently with the quality of the
harvest of grain. To receive high harvests of crops,
primarily need adequate amounts of phosphorus in
soils in an accessible form. The next important step is
the use of different fertilizers (mineral and organic)
under crops. Without the use of fertilizers cannot
return key for plants of nutrients, such as phosphorus,
nitrogen and sodium in the soil, since agricultural
products makes the nutrients. What dose of fertilizer
use and profitable forms of these fertilizers, solves
every household depending on culture, soil, climate
and economy. We received during the research the
following results: for 4 year average contents of
phosphorus in soils of agro-landscape in General, au
pairs amounted to 27.2–31.4 mg/kg. Average levels of
phosphorus in the soils crop rotation fields amounted
to 26.9 and 30.9 mg/kg. Maximum values amounted to
115.0 mg/kg, while the minimum is about 3.0 mg/kg.
Also conducted analyses on the contents of rolling
phosphorus in manure polupereprevshem pigs and
cattle. Marked by a very significant gap in content of
phosphorus, which is associated with significant
differences in their feeding. In grain of winter wheat
for 4 years, phosphorus content accounted for at an
average of 3.41 g/kg; minimum and maximum
performance from 2.35 to 4.47 g/kg, in 2012.
Compared with 2012 phosphorus concentrations in
grain of winter wheat has gradually increased to 2015,
and accounted for 3.47 g/kg with minimum and
maximum thresholds ranging from 2.05 to 4.89 g/kg
The article points to the fact that the structurization
of the meso-environment has debatable character,
and instruments of its investigating are not
developed. Because of this reason the following
hypothesis of a research is formulated: basis system
approach which is connected with expert approach,
with methods of processing of diverse qualitative
information and transition to measurement of
factors in metric system in items of information in
bits determines objectivity of the analysis and
increases of reliability of a research of the external
environment of corporation. The offered model
structure of the meso-environment contains:
regional legislation, specifics of regional economy,
regional community and human capital, regional
resources, regional communication environment,
features of regional commodity market and
services, infrastructure of the regional market,
development of small business, etc. Features of its
investigating are considered. The method of
MesoOT analysis of the regional environment is
offered. Application of numerical score of factors
and involvement of experts to its development
during the analysis is proved. The need to develop
of the scale for measuring of diverse regional
factors in information units using the well-known
intellectual system "Eidos-X ++" is discussed in
this article. The version of the analysis of the
regional environment (meso-environment) is
developed and presented in matrix form of MesoOT
analysis in the adapted structure of "researches" to
features of the agrarian and industrial region