Volume Integral Research Articles

Scene point cloud understanding and reconstruction technologies in 3D space

Scene point cloud understanding and reconstruction technologies in 3D space

ОРГАНИЗАЦИЯ ТЮРКСКИХ ГОСУДАРСТВ (ОТГ): ПРОИСХОЖДЕНИЕ, МОТИВЫ, ОСОБЕННОСТИ И ВЛИЯНИЕ

Based on the analysis of official documents of Turkic Council, Organization of Turkic States and the relevant media reports, the article examines the origin, motives, features and influence of Organization of Turkic States. The analysis shows that the internal structure of the Organization is highly systematized. Currently, OTS sets great development plans, although its five member-countries and two observer-countries have different aspirations. OTS has striking geopolitical features in terms of level of representation in Turkic-speaking populations. The author concludes that the prospects of OTS are limited by several conditions. First, the lack of internal motivation. Secondly, the absence of a continuous geographical space, which hinders the process of Turkic integration. Thirdly, the diversity of the geopolitical and geo-economic interests of its members and observer countries weakens the effectiveness of their collective actions. Fourthly, the efforts of the newly independent states to create a titular nation somewhat contradict the goals of Turkic integration. Moreover, OTS’s desire for integration in a wider space is a distant goal lacking strong leadership. However, OTS influences Central Asia, the ideological struggles of the respective countries, the initiative of the "Belt and Road" and the game of Major powers. In particular, the OTS is a serious challenge for Russia in its national security and foreign interests.

Формирование интегрированной территориальной структуры внутреннего туризма

In the context of intensified sanctions against the Russian Federation, it is important to improve domestic tourism, utilise diverse tourism potential, and develop tourist areas by forming integrated tourism structures (ITS) to overcome municipal (regional) administrative barriers. The study presents theoretical and methodological aspects of the formation of integrated tourism structures affecting Russian tourism under economic transformation. A systems approach based on structural and functional analysis, content analysis, as well as sociological research methods were applied. Conditions for the integration of tourist space include the possibility of integrating tourist and recreational resources, relative positioning of tourist destinations, complementarity of services, shared transport systems, and similar climatic conditions. Tourism integration can be divided into horizontal, vertical, and diagonal. The study demonstrated the advantages of diagonal integration, which implies the creation of a governing body coordinating the activities of tourism enterprises and the hospitality industry. An integrated tourism structure can be formed by combining tourist areas of the Sochi city district and Tuapsinsky district in Krasnodar Krai. The article proposed to establish ITS Council, composed of heads of settlements in these districts, representatives of tourism enterprises (associations) and the hospitality industry, and leaders of national diasporas. Further, the Council’s tasks were defined. Establishment of an integrated territorial structure can be economically effective, resulting in an increase in the provision of additional and complementary services to tourists. Diagonal integration contributes to the formation of an integrated tourism product by combining complementary tourism products, reducing dependence on seasonal factors, creating new jobs, and increasing regional gross tourism product. The obtained results can be used by public authorities in the field of tourism when creating regional spatial development concepts.

A linearly implicit energy-preserving exponential time differencing scheme for the fractional nonlinear Schrödinger equation

<abstract><p>In this paper, we present a new method to solve the fractional nonlinear Schrödinger equation. Our approach combines the invariant energy quadratization method with the exponential time differencing method, resulting in a linearly-implicit energy-preserving scheme. To achieve this, we introduce an auxiliary variable to derive an equivalent system with a modified energy conservation law. The proposed scheme uses stabilized exponential time differencing approximations for time integration and Fourier pseudo-spectral discretization in space to obtain a linearly-implicit, fully-discrete scheme. Compared to the original energy-preserving exponential integrator scheme, our approach is more efficient as it does not require nonlinear iterations. Numerical experiments confirm the effectiveness of our scheme in conserving energy and its efficiency in long-time computations.</p></abstract>

ИНВЕСТИЦИОННОЕ СОТРУДНИЧЕСТВО РОССИИ И АРМЕНИИ В КОНТЕКСТЕ ЕВРАЗИЙСКОЙ ЭКОНОМИЧЕСКОЙ ИНТЕГРАЦИИ НАЧАЛА XXI В.

The article discusses the role of investment cooperation between Russia and Armenia in the development of integration processes in the Eurasian space in the 21st century. The author highlights the key factors that determine the interest of the Republic of Armenia in expanding economic ties with the partner states of the Eurasian Economic Union, primarily with Russia. The article presents facts that testify to the steadily developing cooperation between Russia and Armenia in the field of energy, transport, new technologies, banking, including within the framework of large investment projects that have received support at the government level; shows the expansion of the trade, economic and financial ties between the two countries in a regional format, the interest of the business circles of Russia and Armenia in holding joint industrial exhibitions, forums, business missions. The author notes that the cooperation between Russia and Armenia, which has deep historical roots, is at the same time a relevant trend in the development of international relations in the Eurasian space, is formed in the trend of the projects of the Eurasian economic union and Greater Eurasia on the basis of the strengthening the financial communications, exchange of investment capital, introduction of high technologies. The article concludes that the investment cooperation between Russia and Armenia has a significant long-term significance as a factor of stability and further economic integration in the Eurasian space.

Cognitive Aspects of 2D Content Integration and Management in 3D Virtual Reality Spaces

The advent of 2D graphical user interfaces in the 1980s shifted user interactions from line-based terminals to icon-based interfaces. As smartphones emerged in the 2010s, portable 2D graphical interfaces became a reality, liberating users from being confined to a single location when accessing digital services. These transformations have profoundly altered our understanding of digital information systems, with impacts that cannot be easily quantified. Current advancements in virtual and augmented reality (VR/AR), the Internet of Things (IoT), and artificial intelligence (AI) are on the verge of ushering in the next significant leap in cognitive expansion, introducing portable and highly contextual spatial interfaces, also sometimes referred to as Digital Realities (DRs). As a result, users now anticipate the ability to engage with an increasing array and variety of digital content in ways that are more contextualized and tailored to their needs, taking into account factors such as time, location, personalized goals and user-specific histories. In this paper, we aim to give an overview of cognitive aspects relevant to content integration and management specifically in DR environments, and to propose solutions and / or best practices to address them. Our discussion is centered around a paradigm called the Doing When-Seeing (DWS) paradigm, which we propose for the design of Digital Reality interfaces. We demonstrate the applicability of this paradigm to the design of interfaces for creating content, organizing content, and semantically representing and retreiving content within 3D Digital Reality environments.

POLITICIZED ETHNICITY AS AN INSTITUTIONAL OBSTACLE TO THE STRENGTHENING OF THE ALL-RUSSIAN IDENTITY IN THE NORTH CAUCASUS

The article analyzes the phenomenon of politicized ethnicity in the North Caucasus, its influence on ethno-political processes and ways to reduce the risk-generating impact of this phenomenon on the ethno-political sphere of the region are proposed. The article summarizes the results of a series of studies conducted in the North Caucasus in 2018-2023: event analysis of the ethno-political situation, analysis of positive practices, mass and expert surveys, content analysis of the media, websites of national-cultural associations, blogosphere, content analysis of normative documents, content and discourse analysis of publications of North Caucasian historians. It is shown that the main factors in the politicization of ethnicity in the North Caucasus region are "hyperethnicity" and the institutionalization of ethnicity in the form of "national republics", as well as the ethno-territorial problems and claims caused by these phenomena, and the "memory paradigm" that has developed in the region. It is concluded that it is necessary to strengthen the all-Russian vector of the regional identity policy, and for this purpose a "revision" of the legislative framework in the federal subjects in the North Caucasus is required. Since at the present stage it is impossible and impractical to abandon the institution of republics, it is important to gradually introduce into the public opinion the principle of territoriality, and not titular ethnicity, as the basis of the republics in Russian Federation. It is relevant to change the humanitarian agenda of the North Caucasus, which can go in two directions: the reorientation of public consciousness to the problems of modernization of the region and the integration of the humanitarian space of the "Big South" - the North Caucasus and Southern federal districts. The reformatting of the "memory paradigm" can be achieved by expanding the historical panorama through positively oriented constructions of the historical past, as well as changing the scientific priorities of humanitarian research with an emphasis on topics related to the centuries-old experience of living together of peoples of different cultures. The materials of the article can be used in the preparation of a new Strategy of the state national policy of the Russian Federation.

Российско-белорусские отношения в современной повестке дня

Issues of the state and possible directions of development of Russian-Belarusian relations within the framework of the Union State are studied. The specificity of the challenges that are relevant for union building is analyzed. The content and dominants of the official discourse of Russia and Belarus on the issues of bilateral integration interaction are studied, taking into account the risks of political nature. The Union State is considered as a model of the most possible deep integration in the CIS space.

Features of the constitutional and legal status of the governments of the member states of the Eurasian Economic Union

The consideration of the peculiarities of the constitutional and legal statuses of the governments of the Eurasian Economic Union (EAEU) states (Russia, Belarus, Kazakhstan, Armenia and Kyrgyzstan), in the context of the economic integration in the Eurasian post-Soviet space that is increasingly deepening today, is of considerable practical interest. The authors note that the differences in the constitutional and legal statuses of the governments of the EAEU states are primarily due to the peculiarities of the forms of government enshrined in the constitutions of these states, which, for the most part, cannot be classified according to the traditionally distinguished sub-forms of the republican form of government. Despite the debatable nature of the structure of the constitutional and legal status of the government, the authors, taking into account the peculiarities of the forms of government enshrined in the EAEU states, focus on such elements as: constitutional and legal characteristics; composition, procedure for the formation and early termination of powers; competence. Summing up the overall results of the study, the authors come to the conclusion that, despite the presence of common views on economic integration, the EAEU states do not seek unification in terms of the organization of state power on their territory. However, despite this, the general trends towards the possible improvement of the constitutional and legal status of the governments of the majority of the EAEU states can still be identified. These include, first of all, a gradual increase in the degree of independence of governments from the head of state, which, in turn, can be achieved by strengthening the direct interaction of the government with the parliament, as well as by taking into account the opinion of the parliament or its lower house when forming or early termination of the government’s powers.

P4 Medicine for Heterogeneity of Dry Eye: A Mobile Health-based Digital Cohort Study

During the 5th Science, Technology, and Innovation Basic Plan, the Japanese government proposed a novel societal concept -Society 5.0- that promoted a healthcare system characterized by its capability to provide unintrusive, predictive, longitudinal care through the integration of cyber and physical space. The role of Society 5.0 in managing our quality of vision will become more important in the modern digitalized and aging society, both of which are known risk factors for developing dry eye. Dry eye is the most common ocular surface disease encountered in Japan with symptoms including increased dryness, eye discomfort, and decreased visual acuity. Owing to its complexity, implementation of P4 (predictive, preventive, personalized, participatory) medicine in managing dry eye requires a comprehensive understanding of its pathology, as well as a strategy to visualize and stratify its risk factors. Using DryEyeRhythm®, a mobile health (mHealth) smartphone software (app), we established a route to collect holistic medical big data on dry eye, such as the subjective symptoms and lifestyle data for each individual. The studies to date aided in determining the risk factors for severe dry eye, the association between major depressive disorder and dry eye exacerbation, eye drop treatment adherence, app-based stratification algorithms based on symptomology, blink detection biosensoring as a dry eye-related digital phenotype, and effectiveness of app-based dry eye diagnosis support compared to traditional methods. These results contribute to elucidating disease pathophysiology and promoting preventive and effective measures to counteract dry eye through mHealth.

ФОРМИРОВАНИЕ ПОЛОЖИТЕЛЬНОГО ИМИДЖА РУКОВОДИТЕЛЯ ДОШКОЛЬНОГО ОБРАЗОВАТЕЛЬНОГО УЧРЕЖДЕНИЯ В СОВРЕМЕННЫХ УСЛОВИЯХ

The relevance of this article is due to the integration of the educational space of the Donetsk People's Republic into the educational space of the Russian Federation. The article dwells on the issue of creating a positive image of the head of a preschool educational institution for successful implementation of educational goals and organization of the process of education with a highly respected manager at the head. The purpose of the article is to substantiate the need for creating a positive image of the head of a preschool educational institution under the current conditions. The authors have demonstrated how image is defined in psychological and pedagogical literature as well as in academic papers. The phenomenon of “a positive institution under the current conditions are proposed. The conditions that affect creation of a positive image of the head of an educational institution are specified. image of the head of a preschool educational institution” is substantiated as well. The criteria of a positive image of the head are outlined. Arrangements for creation of a positive image of the head of an educational

ЕВРАЗИЙСКАЯ АССОЦИАЦИЯ УНИВЕРСИТЕТОВ: СТАНОВЛЕНИЕ, ОСНОВНЫЕ ЭТАПЫ ДЕЯТЕЛЬНОСТИ, БЛИЖАЙШИЕ ПЕРСПЕКТИВЫ (К ВОПРОСУ О СОХРАНЕНИИ КУЛЬТУРНО-ИСТОРИЧЕСКОЙ ОБЩНОСТИ И ЕДИНОГО ОБРАЗОВАТЕЛЬНОГО ПРОСТРАНСТВА ЕВРАЗИИ)

The article is about the activities of the Eurasian Association of Universities throughout its history, from 1989 to the present. The author emphasizes an importance of the activities of such an institute of interaction among leading universities in the post-Soviet space, aimed at preserving both the common heritage and the concrete results of the cooperation of the university community of the Commonwealth of Independent States (CIS) countries as well as the experience exchange and joint efforts in the field of scientific developments and teaching methods in higher education, bilateral and multilateral scientific and educational programs and research projects. The article pays special attention to the work of the Association’s Congresses, its activities on the preparation and holding of bilateral and multilateral forums for rectors of the CIS universities, the organization of international scientific and practical conferences “Universities and Society”, as well as support for major research programs such as the Vernadsky Interuniversity Consortium, Forums of Scientific and Creative Intelligentsia in the Commonwealth of Independent States, Science Festivals, Student youth forums, interaction with the Russian Union of Rectors, etc. The author emphasizes publication activity (in particular, the publication of monographs that highlight the key vectors of cooperation) as a special area for activity of the Eurasian Association of Universities, which is developing in the context of educational integration in the Eurasian space.

Quantify uncertainty by estimating the probability density function of the output of interest using MLMC based Bayes method

<p style='text-indent:20px;'>In uncertainty quantification, the quantity of interest is usually the statistics of the space and/or time integration of system solution. In order to reduce the computational cost, a Bayes estimator based on multilevel Monte Carlo (MLMC) is introduced in this paper. The cumulative distribution function of the output of interest, that is, the expectation of the indicator function, is estimated by MLMC method instead of the classic Monte Carlo simulation. Then, combined with the corresponding probability density function, the quantity of interest is obtained by using some specific quadrature rules. In addition, the smoothing of indicator function and Latin hypercube sampling are used to accelerate the reduction of variance. An elliptic stochastic partial differential equation is used to provide a research context for this model. Numerical experiments are performed to verify the advantage of computational reduction and accuracy improvement of our MLMC-Bayes method.</p>

The Creative Life of E. L. Gelfand — Actor And Director of the Birobidzhan State Jewish Theater Named After L. Kaganovich

The relevance of the research topic is due to the specifics of cultural policy implemented in the Russian Federation, according to which culture has been elevated to the rank of national priorities and recognized as a guarantor of the preservation of single cultural space and territorial integrity of the Russian Federation. The modern reality cannot ignore historical experience, which is why the purpose of the article was to study the work of the actor and director of the Birobidzhan State Jewish Theater named after L. Kaganovich — E. L. Gelfand. By recreating the history of the functioning of the Birobidzhan Jewish Theater in the 1930s and 1940s, — when E. Gelfand worked as an actor and director, the author of the article, based on archival documents, revealed some facts of Yefim Lvovich’s biography, the peculiarities of his creative and socio­political life. The author comes to the conclusion that the life of actor E. Gelfand was inextricably connected with the Birobidzhan Jewish Theater, and his work there contributed to the formation of his own creative style.

OPTIMAL CONTROL PROBLEM FOR A 2B-PARABOLIC EQUATION WITH AN INTEGRAL NON-LOCAL CONDITION

The problem of choosing the optimal control of the system, which is described by a parabolic problem with an integral condition over the time and limited internal and starting control, is investigated. The quality criterion will be given by the sum of volume integrals. Using the fundamental solution of the Cauchy problem for the 2b-parabolic equation, the existence, unity and integral representation of the solutions of the problem for the 2b-parabolic equation with the integral condition on the time variable were established. Estimates of the solution of the nonlocal problem for the 2b-parabolic equation with integral condition in time and its derivatives in Hölder spaces are found. The obtained result was used in the study of the problem of optimal control. With the help of the Taylor formula and the integral representation of the solutions of the nonlocal problem, the necessary and sufficient conditions for the existence of the optimal control of the system described by the problem for the 2b-parabolic equation with the integral condition for the time variable were found.

Calculation of nucleon scattering on <sup>40</sup>Ca based on dispersive optical model

Spherical nucleus <sup>40</sup>Ca is important structural and alloy material nucleus. Based on important theoretical value and application prospect of nuclear data of calcium isotopes, nucleon-nucleus scattering data on <sup>40</sup>Ca nucleus, the main isotopes of natural calcium, are calculated by using dispersive optical model (DOM). The dispersive optical model potential is defined by energy-dependent real potentials, imaginary potentials, and also by the corresponding dispersive contributions to the real potential which are calculated analytically from the corresponding imaginary potentials by using a dispersion relation that follow from the requirement of causality. By fit simultaneously scattering experimental data for neutron and proton, an isospin-dependent dispersive optical model potential containing a dispersive term is derived. This derived potential in this work considers the nonlocality in the real “Hartree-Fock” potential <inline-formula><tex-math id="M5">\begin{document}$ V_{\rm{HF}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="22-20231054_M5.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="22-20231054_M5.png"/></alternatives></inline-formula> and introduces the shell gap in the definition of nuclear imaginary volume, surface and spin-orbit potentials near the Fermi energy. This dispersive optical model potential shows a good description of nucleon-nucleus scattering data on <sup>40</sup>Ca nucleus up to 200 MeV including neutron total cross sections, neutron elastic scattering angular distributions, proton elastic scattering angular distributions, neutron analyzing powers and proton analyzing powers. In addition, the energy dependencies of calculated real volume integrals of dispersive optical model potential is shown, and a typical dispersive hump is seen around the Fermi energy. This dispersive hump behavior naturally obtained from dispersion relations, and allows the dispersion optical potential to get rid of energy dependent geometry, thus avoiding the use of a radius dependent on energy.

Solvability for a nonlocal dispersal model governed by time and space integrals

Abstract This work is to analyze a nonlocal dispersal model governed by a Volterra type integral and two space integrals. A weighted integral is included, and an existence result of solutions for this model is proved. We assume a suitably Hartman-type sign condition and use a sufficiently regular measure of noncompactness. Finally, the degree theory referring to condensing operators is applied.

On the Field Energy of Two Charges With Application to Electric Dipoles

This paper revisits the topic of electrostatic field energy due to a pair of the electric charges. Not only point-like charges but also charged spheres of radius R are studied. The self-energies as well as the interaction field energy are discussed in full detail. By combining two alternative didactic paths (one mathematical and the other based on energy conservation principles), it is shown that the interaction field energy (which is a volume integral of the energy density over the infinite space) is always equal to the potential energy, regardless of the nature of the electrical charges. For these two characteristic cases of electric charges (i.e., point-like and uniformly charged spheres), the location and the amount of the major part of the interaction field energy is discussed; the relevant factoids are documented in the form of two compact theorems in the Appendix. The case of non-uniformly charged spheres (i.e., spherical conductors) is also discussed to some extent. In addition to this general presentation, the particular case of the electric dipole is discussed, as a special case, accompanied with many numerical results.

THE IMPACT OF INDUSTRIAL AND ECONOMIC DEVELOPMENT ON THE SOCIO-CULTURAL EVOLUTION OF LOCAL COMMUNITIES

The determining factor of socio-cultural transformation is industrial and economic modernization, which changes the structure of the world economy as a whole. The leading trend in the development of civilization is the desire for uniformity, which leads to the need to analyze the combination, correlation, interaction of “modernized” and “traditional” forms of development of local communities.
 The aim of the study is to analyze the impact of the processes of production and economic modernization on the modification of sociocultural development, to determine the relationships and interdependencies of the economy, culture and sociality, to identify cause-and-effect relationships and trends in the evolution of the sociocultural sphere.
 Materials and methods. The study of the processes of production, economic and socio-cultural transformation within the framework of a polyparadigm approach allows using a set of research paradigms, within which various aspects of modernization are considered. The civilizational approach makes it possible to explain the problem of correlation, interaction of general civilizational universals and local specifics.
 Results. The article shows that the main trends in the production, economic and socio-cultural development of local communities are formed under the influence of internal and external factors. Modification of the production and economic sphere contributes to the evolution of culture and sociality, determines the structure of the life of local communities, forms a new system of diverse processes of activity. There are destructive tendencies leading to the disintegration of the integrity of the socio-cultural space, a decrease in the stabilizing potential of the traditional way of local communities, followed by pauperization and marginalization of a significant part of the population. The diversification of production and economic activities contributes to the modification of the socio-cultural way of life, the transition from the paradigm of maintaining the stability of traditions to the paradigm of innovative changes.
 Practical implications. The results can be used for further research into the processes of sociocultural development and in the process of teaching social disciplines.

Recent Progress and Future Development in Satellite Communication

In the era of high-speed communication, large-capacity broadband and multimedia personalization, satellite communication has become one of the most special ways of wireless communication. With the rapid development of satellite communication during recent years, many projects, like Oneweb, Starlink, and Telesat have been attempted. Based on higher and higher transmission speed demand, Satellite communication becomes a newly effective supplementation of traditional terrestrial station gradually. After nearly half a century of exploration, started from a live broadcast, broadband satellite constellation represented by Starlink had become mainstream application. The future communication system should be land, sea, and space integration. In this article, the phylogeny of SC, basic construct and some application will be discussed. Consider the specific applications, some challenges and future trend are also the focus. At the same time, the comparison between Satellite communication and terrestrial provision offers a thinking way of communication industry ecology. Nevertheless, the satellite communication system based on radio microwave communication still has some technical development problems and application difficulties, and it is necessary to seek breakthroughs in communication technology and hardware facilities.