
About one way of determination of prime numbers
The method of finding prime numbers without computer calculation is shown. Subsets P1 = {6k1 – 1}, P2 = {6k2 + 1}, Q1 = {6j1 – 1}, Q2 = {6j2 + 1} are considered, where P1 È P2 are all prime numbers p ≥ 5; Qi are all odd composite numbers of such form. Subsets Ai = {ki}, Bi ...

Subsets of prime numbers in the generalized arithmetical progressions
... progression of the power k and difference d is given. For k 1,7 formulas of nth member of such progressions and for k 1, 2, 3 formulas for the sum of the first n its members are obtained. Progressions ( ) , k p d M with the first member prime number p and difference being a positive even number d 2m (m ) are considered. Such progressions define subsets ( )
, , k h p d M of h prime numbers (h ). For k 20, p 95467, d 108 all subsets (1) h,p,d M with h 15 prime numbers ...

An elementary solving of cubic Diophantine equations
... full solving for all values s is received.
1. Айерлэнд К., Роузен М. Классическое введение в современную теорию чисел. М., 1987.
2. Cao Z. F. Diophantine equations and divisibility of class number of real quadratic fields // Acta Mathematica, Sinica. 1994. Vol. 37. P. 625—631.
3. Dong X. L., Cao Z. F. Diophantine Equations and Class Numbers of Real Quadratic Fields // Acta Arithmetica, XCVII. 2001. Vol. 4. P. 313—328.
4. Jacobson M. ...

Migration of researchers in the Baltic region: a forecast and factors
... for assisting the spatial development of the country, particularly, its border areas. This study tests several hypotheses. The first one holds that the outflow of researchers will reduce over the next few years. Others concern factors affecting the number of researchers in the Russian Federation in general and its Baltic part in particular. These factors include salaries and workplace environment. Methodologically, the study draws on Russian and international sources on the migration of researchers ...

Dynamics of falling rotating particle. Part 1
It is shown that the formula for coefficient of force of ZhukovskyMagnus can be used and at large numbers of Reynolds up to values 1000. However at values of large numbers 2000 results of calculations do not correspond to experimental datas. In the latter case the new formula is recommended.
1. Vasseur P., Cox R. G. The lateral migration of spherical ...

The Flow of Gas with Dispersed Particles in a Cylindrical Channel at a Subsonic Speed
... of a study of changes in gas parameters along the channel at different gas flow rates. The graphs show dimensional variables. We consider the distributed density of the dispersed phase, the temperatures of the carrier and dispersed phases, the Mach number M, the Reynolds number Re, the Nusselt number Nu, and the Stokes number Stk.
1. Великанов Н. Л., Наумов В. А., Корягин С. И. Течение газа в цилиндрическом канале при дозвуковой ...

A transcendental analysis of mathematics: The abstract nature of mathematical knowledge
... Логикоэпистемологические исследования. М., 1980. С. 182—228.
25. Юм Д. Трактат о человеческой природе // Юм Д. Соч. : в 2 т. М., 1965. Т. 1. С. 128.
26. Benacerraf P. What Numbers Could not Be // The Philosophical Review. 1965. Vol. 74, № 1.
27. Beth E. Mathematical Thought. Dordrecht, 1965.
28. Burgess J., Rosen G. Subject with No Object. Oxford, 1999.
29. Field H. Science without Numbers: a Defense of Nominalism....

Why is the space around us three dimensional
... question. Where and how the loss and subsequent recovery of symmetry in spatial numerical figures occurs. Why is there a loss of stable numerical symmetry? The present arithmetic study will show that behind the external randomness of the real numbers around us is an infinite degree of their organizations, which is based on numerical matrix called the «Pascal's triangle» being placed in space. Because any segment of any increasing real number series belongs to any sequence in which each ...

How to extract formulas from Pascal's triangle to find all primes
... triangle is confirmed and the main results of finding its numerical discriminant are given. Exactly, the numerical properties of the truncated Pascal triangle for the direct finding of all primes are found.
Sherban V. L.
Pascal triangle, Fibonacci numbers, prime numbers, recurrent sequences
2339

Billionaires and Millionaires of the Baltic Sea Region: A Comparative Analysis of National Business Elites
... the global economy and the global division of labour. Drawing on a sizeable body of statistics, the author conducts a comparative analysis of the Baltic states’ financial elites. The author considers such characteristics of business elites as their number, total wealth, gender composition, average number of children in their families, geographical distribution, global mobility, industry specialization, a tendency towards oligarchy, and others. Germany’s business elites are strong and are characterized ...

Youth unemployment in the Latgale region of Latvia: causes and consequences
Youth unemployment is a serious problem in Latvia, as unemployed young people make up 16.3 % of the total number of unemployed in the country, while in the Latgale region the number of unemployed young people aged 15—24 years was 18.8 % of the total number of unemployed in the country in 2015. The purpose of this study is to identify the main current causes ...

The problem of complex meaning nonlinear equation in quotiend derivatives
Several ways of finding of the exact solutions inherent in the equations with soliton like solutions were applied to the given equation. In particular the presence of property of Penleve in the equation was conducted, solutions in the form of numbers of Lorana, exact solutions in the form of running waves and solutions received by the method of Hiroty were found.
1. Абловиц М., Сигур Х. Солитоны и метод обратной задачи / пер. с англ. М., ...

A method of an algorithm creation of cyclic reduction for solving of the system of equations with blocktridiagonal matrix
.... H., Nielson C. W. On direct methods for solving Poisson's equation // SIAM Journal of Numerical Analysis. 1970. № 7. P. 627–656.
2. Sweet R. A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimensions // SIAM J. Number. Anal. 1977. Vol. 14, № 4. P. 706720.
3. Самарский А. А, Николаев Е. С. Методы решения сеточных уравнений. М., 1978.
4. Bank R. E., Rose D. J. Marching Algorithms For Elliptic Boundary Value ...

The geographical image of Kaliningrad and its branding policy (the case of a sociological survey of the city residents)
... architects. The methodology designed by the authors determines the interview as a primary tool for collecting research material. The online platform attracted the citizens’ attention to the issues of urban development and drew the most open answers to a number of key challenges in the development of Kaliningrad. The obtained results indicate that the popular image of the city is not fully consistent with its development strategy. The findings brought a number of recommendations to promote the image ...

The optimisation of athletes’ training process through controlling individual immuneregenerative and biochemical blood parameters
This article considers a number of cell indicators of the organism that can be potentially used for the individual monitoring of selecting graduated exercises, which contributes to an increase in the efficiency of athlete’s training. A number of the most reactive indicators ...

Important Staging Sites of Geese and Swans in the CrossBorder Wetland Complex of the Neman Delta
...
Baltic Sea
. BirdLife
International
. 2000.
P
. 133.
4.
Гришанов Г.В., Романов Ю.М.
Охотничьи животные Калининградской области. Калининград
, 2007.
5.
Žalakevičius
M.
Bird numbers, population state and distribution areas in the eastern Baltic region in the context of the impact of global climate change //
Acta Zoologica Lituanica.
2001.
Vol.
11 (2). P. 121132.
6.
Švažas
S.
Internationally important sites for ...

Impact of external migration on changes in the Swedish religious landscape
... country dominated by the Lutheran Church, having the status of the official state religion. Starting in midtolate 20th century, mass immigration to Europe had a considerable impact on the confessional structure of Sweden’s population. The growing number of refugees from the Balkan Peninsula, the Middle East, and Africa has turned Sweden into a multireligious state. Sweden has become one of the leaders among the EU countries as far as the growth rates of adherents of Islam are concerned. Immigrants ...

Criminal penalties of material nature: Imposition and enforcement
... обращения: 25.01.2016).
3. Приговор Центрального районного суда г. Калининграда по делу № 1362/2014. URL: https://centralnykln.sudrf.ru/modules.php?name=sud_delo&srv_num=1&name_op=doc&number=47446215&delo... / (дата обращения: 20.02.2016).
4. Приговор Центрального районного суда г. Калининграда по делу № 1199/2015. URL: https://centralnykln.sudrf.ru/modules.php?...

The Pythagoreanmathematical component of P. A. Florensky’s social philosophy
... possible for the Russian philosopher to create a holistic social and philosophical project – the quintessence of development of a new culture, where the fate of a person and the state are indivisible. In the future state, people are units, Pythagorean numbers, or monads that have value not by themselves, but as parts of the whole set; this setstate is dominated by the supreme monadhero vested with the theurgic grace of deciding the fates of people. Florensky plays the role of a “social engineer” ...

The dynamics of localized pulse as solutions of Davey — Stewartson II equations
... examined; it is shown that such solutions tend to lose the locality properties with time scale corresponding to a characteristic space scale of initial localization. The locality loss manifests itself with emergence of resonance spikes, whose total number is determined by the asymptotic behavior of support function on infinity. In particular, the exponentially localized perturbations split into an infinite number of the resonances.
1.
Arcadiev V.
A., Pogrebkov A.
K., Polivanov M.
C....

Decomposition of incomplete standard basis of the field Q(mD) in the multidimensional continued fraction
... Jacobi—Perron algorithm // Ist Theory and application. Lecture Notes in Mathematics. Vol. 207, N 1—4. Springer Verlag, Berlin—Heidelberg— New York, 1971. P. 1—160.
5. Bernstein L. Units from periodic Jacobi—Perron algorithms in algebraic number fields of degree n 2 // Manuscripta math. 1974. Vol. 14, N. 3. P. 249—261.
6. Bernstein L. Units and periodic Jacobi—Perron algorithms in real algebraic number fields of degree 3 // Trans. Amer. Math. Soc. 1975. Vol. 212, N 485. P. 295—306....

The abundance and territorial distribution of the Eurasian Coot (Fulica atra) and Common Moorhen (Gallinula chloropus) in Kaliningrad
... per km2 in the most suitable habitats with an average density of only 4.0 pairs per km2. The population density of the Moorhen reaches 5 pairs per km2 in optimal habitats with an average density of 2.0 pairs per km2. A negative correlation between the number of birds and the urbanisation rate of the city territory is observed in the Moorhen (r s = — 0.44; P <0.05). The breeding area of the Moorhen has increased over the last decades. The Coot breeding area has not changed significantly, whereas ...

Public law entities and the theory of the subjects of law
... research revealing the constitutional foundations of the representational functions of public law entities in public relations. Many legal scholars have demonstrated the fallacy of separate terms in public law and have drawn attention to the increasing number of arbitrary provisions in public legislation. In their works, they have noted a growing number of fictitious legal constructions and relations that complicate the assessment of the legitimacy of the individual’s conduct.
1. Борисов ...

On the concept of normative evaluation of costeffectiveness of GLONASS application in coastal regions
... economies. In three regions, the system has already been introduced and is widely used, 21 more regions are introducing the system. Experts believe that this process will take from 3 to 5 years. The introduction and integrated use of GLONASS pose a number of organizational and economic problems for regional administrations. One of such problems is the evaluation of economic benefit from GLONASS implementation in the region. Economics has developed a large number of methodological approaches to the ...

Demographic development scenarios for the Kaliningrad region
... total fertility rate of about 1.8) and a slightly negative rate of natural increase. With a net migration of up to 10,000 people per year (Russian regions account for 37 % of this figure), the population of the region is increasing and the workforce number is stable. Population change and agesex structure forecasts strongly rely on the estimates of prospective net migration and a rate of natural increase. Accompanied by a decreasing agespecific mortality rate and growing life expectancy, the current ...

Unusual properties of some sets of square trinomials
... многообр. фигур. Калининград, 2016. Вып. 47. С. 89—97.
2. Малаховский В. С. Числа знакомые и незнакомые. Калининград, 2004.
Malakhovsky V. S.
quadratic trinomial, set, totality, prime number
2529

Lutheranism in Finland: past and present
... Finnish Lutheranism emerged in 1923. The religious and national unity of Finland contributed to bringing together the Finnish society during the Winter War, the Continuation War, and the postwar reconstruction of Finland. In the following decades, the number of Lutheran parishes and parishioners decreased. These processes were most pronounced in the first years of the 21st century. Probably, they mark the beginning of Finland’s transition to a ‘new society’ that is not based on Christian values....

The Policy of Regional Convergence in RussiaBelarus integration: Prospects for Development
In a number of cases, integration of a large international region or an interstate union can only be promoted by political means. The policy of regional economic convergence prevails in many sectors. The single economic market and membership in economic and ...

Improving Human Resource Training Policy for the Balanced Economic and Demographic Development of the Kaliningrad Region
... of regional population and economy with the ‘education’ component. The author identifies disproportions in both quantity (lack/excess) and quality (level of training and occupational structure Vs. the needs of the region) of human resources. The number of specialists in the humanities trained at universities heavily outweighs that in engineering and technology. The number of skilled workers trained in the region is insufficient. Frequent changes in the economic specialisation complicate an accurate ...

The current state and problems of fishing industry development in the coastal regions of the Russian Federation
... reciprocal food import restrictions by our country, the condition of the domestic fishing industry is of particular interest. The article analyzes the quantitative parameters of the industry, identifies key leading companies, shows the dynamics of the number of enterprises in the coastal regions from 2007 to 2017, and reveals the geographical features of locating fidhing enterprises. The authors analyse the companies’ financial indicators, as well as the change in the average annual number of employees....

Seasonal Larva Number Dynamics and Settlement of Juvenile Zebra Mussel (Dreissena polymorpha Pallas) in the Prybrezhny Quarry (the Kaliningrad region)
... polymorpha
Pallas, 1771 // J. Moll. Stud. 2001. №
67. P. 183—189.
15.
Lewandowski K.
The role of early developmental stages in the dymanics of
Dreissena polymorpha
(Pall.) (Bivalvia) populations in lakes. 2. Settling of larvae and the dymanics of numbers of settled indivicuals // Ekol. Pol. 1982. V. 30. P. 223—289.
16.
Lewandowski K., EjsmontKarabin J.
Ecology of planktonic larvae of
Dreissena
polymorpha
(Pall.) in lakes with different degree of heating // Pol. Arch. Hydrobiol
.
1983. V....

Key Strategies of Development of Research Tools and Methods for Marine Spatial Planning
Marine spatial planning has been widely applied in the leading maritime countries. However, it is not so common in Russia, since the relevant legal framework is largely absent. Spatial planning shares a number of features with marine planning, especially when it comes to the tools, principles, and methods. The differences mainly concern characteristics of the planning object; principles of delineating the borders of territories and water areas; and the ...

Condorcet interpretation of probability’s theory: the use of a mathematical construct to the field of social action
... The nature of Condorcet’s thoughts on the wide interdisciplinary opportunities of mathematics makes it possible to compare his ideas with those of other philosophers of the Enlightenment (Rousseau, Montesquieu, Voltaire, and Diderot), as well as a number of provisions of Kant’s philosophy. Despite the fact that Condorcet was not familiar with Kant’s works, his general ideas on the autonomous subject, their reason and freedom, and history and social progress bear strong similarity to Kant’s ...

An analysis of exisitng research on the entomofauna of the Kaliningrad region
This article estimates the number of insect species on the territory of the Kaliningrad region by order. The authors estimate the number of species at 9—13,1 thousand. The article addresses the development of regional entomofauna and entomology studies. The current level of research ...

RussianEstonian Economic and Investment Cooperation During the Crisis: Dynamics and Possibilities
The article deals with the development in RussianEstonian relations during the crises of 2007 and 2014, taking into consideration the balance between political and economic factors in the decisionmaking by Estonian government. A number of special aspects, trends and problems in trade and investment ties are detected. The aim of the study is to uncover key motivation behind the actions of both Russia and Estonia, to identify the drivers for economic and political development in ...

Human Resources of Postwar Lithuania and Their Role in the Rebuilding of Klaipeda
... shortage. The attempts of the republic’s leadership to solve the problems of labour shortage through organised labour migration and labour mobilisation yielded no significant results. The appeals to the Centre with the request to send a substantial number of specialists and workers to Lithuania were heard, but a state ravaged by war did not have sufficient human resources. One of the solution was the use of labour of German prisoners of war. A network of prisonerofwar camps was established in ...

The territorial structure and appearance of Kaliningrad
This article combines two approaches to the analysis of the appearance and territorial structure of Kaliningrad. One approach is based on the field study, the other — on the examination of documents. The former helped define a number of integral regions that were later considered from a historical point of view in order to figure out how the territorial structure and appearance of the city changed in the transition from the German to the Soviet and postSoviet periods.
Yemelyanov ...

Assessing spatial and temporal changes in the landscape vulnerability in the Kaliningrad region as an element of sustainable spatial planning
... Russian and international researchers. Environmental approaches, which gained currency at the legislative level elsewhere in Europe, are virtually absent in the Russian system of spatial planning. This results in the emergence of and increase in the number of nature management conflicts at the regional and local levels and creates problems for using advanced international experience in problem solving. This study aims to establish a methodology for a comprehensive assessment of the Kaliningrad region’s ...

Using the economics dynamics principles in modelling the process of original accumulation of household waste
This article justifies the use of economic dynamics principles in the process of modelling the existing system of household waste accumulation. The authors identify a number of factors relating to the tendency of various organisational manifestations to stable equilibrium of the process of accumulating household waste in containers. The model is based on the linear proportion of changes in parameters describing the ...

Innovations in the Baltic Sea Region and Network Cooperation between Russia and the EU
... type, however, international cooperation is beneficial for all parties concerned and should therefore be more actively encouraged. Northwestern Federal District traditionally plays a special role in the development of EURussia cooperation, since a number of its regions border on the EU countries. The district participates in the development of network innovative structures within the Baltic Sea region. It takes an active part in crossborder cooperation — activities that involve the formation ...

Similarities and differences in curricula of a bachelor’s degree in oceanology at the universities in St Petersburg, Klaipeda, and Kaliningrad
... oceanology offered at universities in St Petersburg, Klaipeda and Kaliningrad, the authors trace similarities between the existing variants of oceanologist training in the context of competence modules, disciplines, the socalled academic practices, and the number of hours and credits stipulated in the existing curricula. A formal comparison of generalised quantitative indicators without analysing the content of curriculum components demonstrated certain similarities in all indicators in terms of workload,...

On the author’s speech structure of Kant’s axiological discourse
The major difference between Kant's axiological and cognitive discourse is that the former contains a greater number of personal pronouns that signify different speech roles of the author. This text is characterised by a more direct expression of the addressee factor, which explains the emergence of the speech acts that are absent in Kant's cognitive texts. Another ...

The problem of education in the conditions of anthropological crisis
This article analyses the contemporary crisis of education in the context of modern civilization crisis. The author offers possible ways to overcome the educational crisis by altering a number of fundamental principles of the education system.
1.
Анатомия
кризисов. Арманд А.
Д., Люри Д.
И., Жерихин В.
В. и др. М., 1999.
2.
Андрейчук Н.
В.
Философия ...

Optimization of parameters of antenna systems for radiofrequency irradiation of polycrystalline compounds
... methods of substance research. The operation of search and other devices in remote mode imposes certain conditions on the parameters of transmitting contours, which must be taken into account when building them. The authors outline ways to optimize a number of design characteristics of transmitting antenna systems, which will increase the efficiency of radio engineering systems used for detecting and analyzing objects that are in the volume of polycrystalline substances.
Ponymatkin V. E....

Zur SubjektRedestruktur des axiologischen Diskurses von I. Kant
The major difference between Kant's axiological and cognitive discourse is that the former contains a greater number of persona pronouns that signify different speech roles of the author. This text is characterised by a more direct expression of the addressee factor, which explains the emergence of the speech acts that are absent in Kant's cognitive texts. Another ...

Generating function and its application for generalization of Legendre polynomials
... generating function is studied. The explicit form of considered functions is found. Some special cases are considered. Particular attention is paid to the case when the parameters defining the studied functions are different, symmetric about zero real numbers. Some properties of constructed functions are obtained. Based on the results of numerical experiment a hypothesis about zeroes of these functions is stated.
1. Suetin P. K. Classical orthogonal polynomials. Moskow, 1978. (in Russian)
2. Dzhrbashyan ...