Без рубрики – Bulletin of Syktyvkar University

Bulletin 4 (57) 2025

I. TREES AS HASSE GRAPHS OF FINITE SEMILATTICES WITH RETRACTS

https://doi.org/10.34130/1992-2752_2025_4_4

Evgeny M. Vechtomov — Vyatka State University, vecht@mail.ru

Abstract. The article considers the elements of the semilattices theory. The main result of the work is a semilattice characterization of trees. An arbitrary graph has been proved to be a tree if and only if it is isomorphic to the Hasse graph of some finite semilattice, with all subsemilattices being retracts.

Keywords: semilattice, retract, semilattice with retracts, tree, Hasse graph of a finite order set.

References

Birkhoff G. Teoriya reshetok [Lattice Theory]. Moscow: Science, 1984. 568 p. (In Russ.)
Gretzer, G. Obshchaya teoriya reshetok [General Lattice Theory]. Moscow: Publishing House of the World, 1981. 456 p. (In Russ.)
Vechtomov E. M., Shirokov D. V. Uporyadochennyye mnozhestva i reshetki [Ordered Sets and Lattices]. St. Petersburg: Lan’, 2024. 248 p. (In Russ.)
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Asanov M. O., Baransky V. A., Rasin V. V. Diskretnaya matematika: grafy, matroidy, algoritmy [Discrete Mathematics: Graphs, Matroids, Algorithms]. St. Petersburg: Lan’, 2010. 368 pp. (In Russ.)

For citation: Vechtomov E. M. Trees as Hasse graphs of finite semilattices with retracts. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 4 (57), pp. 4−14.
(In Russ.) https://doi.org/10.34130/1992-2752_2025_4_4

II. SOLVING A CONFLICT SITUATION WITH LINGUISTIC PARAMETER ESTIMATES

https://doi.org/10.34130/1992-2752_2025_4_15

Vladimir G. Chernov — Vladimir State University named after Alexander and Nikolai Stoletovs, vladimir.chernov44@mail.ru

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Abstract. In antagonistic games, where players pursue opposing goals, it is in their interests to keep possible decisions secret. Therefore, it is highly probable for players to be unable to accurately determine the opponent’s actions and their consequences. In these
settings, unlike existing research, it is assumed that each player forms their own representation of the game, including assumptions about the opponent’s possible actions and the consequences of their counterstrategies, which are represented by fuzzy linguistic
statements.

Keywords: antagonistic game, payoff matrix, fuzzy set, linguistic value, membership function.

References

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Ukhobotov V. I., Stabulit I. S., Kudryavtsev K. N. Comparison of fuzzy numbers of triangular type. Vestnik Udmurtskogo uni versiteta. Matematika. Mekhanika. Komp’yuternyye nauki [Bulletin of Udmurt University. Mathematics. Mechanics. Computer science]. 2019. Vol. 29. Issue 2. Pp. 197–210. (In Russ.)
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For citation: Chernov V. G. Solving a conflict situation with linguistic parameter estimates. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2025, no 4 (57), pp. 15−37. (In Russ.) https://doi.org/10.34130/1992-2752_2025_4_15

III. DEVELOPMENT OF DATABASE MANAGEMENT SYSTEMS ANALYSIS

https://doi.org/10.34130/1992-2752_2025_4_38

Yuriy V. Golchevskiy — Pitirim Sorokin Syktyvkar State University, yurygol@mail.ru,

Ivan D. Zakharov — Pitirim Sorokin Syktyvkar State University, zakharovid@syktsu.ru

Text

Abstract. Business demands have become one of the most important challenges in the development of databases and necessitated a transition from technologies used in simple database management systems to technologies for working with big data platforms.

Keywords: database management systems, database development, development trends, domestic DBMS market.

References

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Golchevskiy Yu. V. Changes in approaches to data processing — data lakes. Tridtsat’ vtoraya godichnaya sessiya Uchonogo soveta Syktyvkarskogo gosudarstvennogo universiteta imeni Pitirima Sorokina [Elektronnyy resurs]: Fevral’skiye chteniya: Natsional’naya konferentsiya : sbornik statey: Chast’ 1 / otv. red. N. N. Novikova
[Thirty-second annual session of the Academic Council of Pitirim Sorokin Syktyvkar State University [Electronic resource] : February Readings: National Conference : Collection of Articles: Part 1]. Ed. by N. N. Novikova. Syktyvkar: Pitirim Sorokin Syktyvkar State University. 2025. Pp. 460–466. EDN: AFDELG. (In Russ.)
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Lyubchenko D. P. History of the emergence of databases. Vestnik nauki [Bulletin of Science]. 2019. Vol. 3. No 10 (19). Pp. 87–90. EDN: GOERUF. (In Russ.)
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Golchevskiy Yu. V., Yermolenko A. V. The relevance of using microservices in the development of information systems. Vestnik Syktyvkarskogo universiteta. Ser. 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2020. Vol. 35. No 2. Pp. 25–36. EDN: MYITJK.
(In Russ.)
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Shaw B., Halder B., Sen S., Basak S., Bhattacharya S. AI DBMS in modern-day applications. American Journal of Advanced Computing. Vol. 2. No 1. Available at: https://ajac.smartsociety.org/wpcontent/uploads/2023/10/vol-2-iss-1.1.pdf (accessed: 12.05.2025).
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Shestakova M. A. Development and population of the «Late Paleozoic miospores» database using artificial intelligence technologies. Vestnik Syktyvkarskogo universiteta. Ser. 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2025. Vol. 54. No 1. Pp. 52–68. EDN: ILYNQM. (In Russ.)
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Gurianov V. I., Gurianova E. A. Analysis of DBMS market trends in Russia. Kazan economic vestnik. 2023. No 3. Pp. 88–92. EDN: SIJERJ. (In Russ.)
Travkina E. A. Development of the domestic infrastructure software market in the context of foreign economic constraints. Vector Economiki [Vector of Economics]. 2024. No 10. Available at: https://vectoreconomy.ru/images/publications/2024/10/marketingandmanagement/Travkina2.pdf (accessed: 12.05.2025). EDN: BGDQQK. (In Russ.)

For citation: Golchevskiy Yu. V., Zakharov I. D. Development of database management systems analysis. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics],
2025, no 4 (57), pp. 38−58. (In Russ.) https://doi.org/10.34130/1992-2752_2025_4_38

IV. FUNDAMENTALIZATION OF MATHEMATICAL EDUCATION IN THE CONTEXT OF DIGITAL TRANSFORMATION CHALLENGES: THEORETICAL AND METHODOLOGICAL ASPECT

https://doi.org/10.34130/1992-2752_2025_4_59

Vladislav V. Sushkov — Pitirim Sorokin Syktyvkar State University, vvsu@mail.ru

Text

Abstract. The article examines the problem of strengthening the fundamental component in the mathematical education of students in specialized areas (mathematicians and mathematics teachers) in the context of digital transformation.

Keywords: fundamental mathematical education, digital transformation, artificial intelligence, mathematical structures, mathematics teaching methodology, professional training.

References

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Sotnikova O. A., Chermnykh V. V. One example of studying abstract algebra methods in higher mathematical education. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2024. No 2 (51). Pp. 44–56. DOI: 10.34130/1992-2752_2024_2_44. EDN: ELKIWL. (In Russ.)
Salmon H. Transformatsiya obucheniya v epokhu iskusstvennogo intellekta [Transformation of Learning in the Era of Artificial Intelligence]. Moscow: Al’pina PRO, 2025. 243 p. (In Russ.)

For citation: Sushkov V. V. Fundamentalization of mathematical education in the context of digital transformation challenges: theoretical and methodological aspect. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2025, no 4 (57), pp. 59−72. (In Russ.) https://doi.org/10.34130/1992-2752_2025_4_59

V. COMPARATIVE ANALYSIS OF SWARM INTELLIGENCE ALGORITHMS: GWO AND ChOA

https://doi.org/10.34130/1992-2752_2025_4_73

Nadezhda N. Babikova — Pitirim Sorokin Syktyvkar State University, valmasha@mail.ru

Nadezhda O. Kotelina — Pitirim Sorokin Syktyvkar State University, nad7175@yandex.ru

Text

Abstract. Metaheuristic swarm intelligence algorithms are widely used in solving problems, ranging from determining the optimal position of a police raiding party to image segmentation and determining optimal training parameters for neural networks.

Keywords: swarm intelligence, Grey Wolf Optimizer, Chimp Optimization Algorithm, GWO, ChOA, learning.

References

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Akinshin O. N., Esikov D. O., Akinshina N. Yu. Features of Solving the Enterprise Investment Portfolio Optimization Problem Using the Particle Swarm Method. Izvestiya Tul’skogo gosudarstvennogo universiteta. Tekhnicheskiye nauki [Izvestiya of Tula State University. Technical Sciences]. 2016. No 5. Pp. 109–116. (In Russ.)
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Pyankov O. V., Popov A. V. Decision-Making Model for Improving the Responsiveness of Police Detention Groups Using Swarm Algorithms. Vestnik Voronezhskogo instituta MVD Rossii [Bulletin of the Voronezh Institute of the Ministry of Internal Affairs of Russia]. No 4. Pp. 73–83. (In Rus.)
Akhmadiev F. G., Malanichev I. V. Population Algorithms of Structural and Parametric Optimization in Construction Design. Izvestiya Kazanskogo gosudarstvennogo arkhitekturno-stroitel’nogo universiteta [Izvestiya of Kazan State University of Architecture and Engineering] 2018. No 2 (44). Pp. 215–223. (In Rus.)
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For citation: Babikova N. N., Kotelina N. O. Comparative analysis of swarm intelligence algorithms: GWO and ChOA. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 4 (57), pp. 73−92. (In Russ.) https://doi.org/10.34130/1992-2752_2025_4_73

Bulletin 2 (55) 2025

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I. SOCIAL MEDIA CONTENT ANALYSIS USING NATURAL LANGUAGE PROCESSING TECHNIQUES

https://doi.org/10.34130/1992-2752_2025_2_8

Kirill P. Kolpakiov – Pitirim Sorokin Syktyvkar State University

Ivan I. Lavresh – Pitirim Sorokin Syktyvkar State University

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Abstract. The role of social media in modern society cannot be overestimated. They have become the main communication tool that allows you to instantly exchange information regardless of the geolocation of users. Moreover, social networks play a significant role in shaping public opinion, mobilizing the population to participate in social and political actions, as well as in business development through marketing and direct communication with consumers. Nevertheless, along with the opportunities, social networks also bring certain challenges. Issues related to Internet addiction, privacy violations, the spread of falsified information and digital violence are becoming increasingly acute.

Keywords: content analysis, social networks, natural language processing, NLP, machine learning, LiveJournal, VKontakte, text tonality, information security, destructive behavior, transformers, ruT5.

References

Chakrawarti R. K. Natural Language Processing for Software Engineering. Wiley. 2025. 544 p.
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ruT5-base [Electronic resource]. Available at: https://huggingface.co/ai-forever/ruT5-base (accessed: 21.08.2025).
Pikabu dataset [Electronic resource]. Available at: https://huggingface.co/datasets/IlyaGusev/pikabu (accessed: 21.08.2025).

For citation: Kolpakov K. P., Ustyugov V. A., Lavresh I. I. Social media content analysis using natural language processing techniques. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 2 (55), pp. 8−19. (In Russ.) https://doi.org/10.34130/1992-2752_2025_2_8

II. COMBINATORIAL PROBLEMS ABOUT FUNCTIONS AND BINARY RELATIONS

https://doi.org/10.34130/1992-2752_2025_2_20

Evgeny M. Vechtomov – Vyatka State University, vecht@mail.ru

Arseniy A. Mamaev – Vyatka State University, arseniyxo@yandex.ru

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Abstract. The article considers and analyzes natural combinatorial problems related to counting the number of different binary relations between finite sets.

Keywords: finite set, function, binary relation, combinatorial problems about binary relations.

References

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Graham R., Knuth D., Patashnik O. Konkretnaya matematika. Osnovaniye informatiki [Concrete Mathematics: A Foundation for Computer Science]. Moscow: Mir, 1998. 703 p. (In Russ.)
Stanley R. Perechislitel’naya kombinatorika [Enumerative Combinatorics]. Moscow: Mir, 1990. 440 p. (In Russ.)

For citation: Vechtomov E. M., Mamaev A. A. Combinatorial problems about functions and binary relations. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 2 (55), pp. 20−37. (In Russ.) https://doi.org/10.34130/1992-2752_2025_2_20

III. ABOUT TWO SOVIET MATHEMATICIANS, FORMER TSARIST GENERALS

https://doi.org/10.34130/1992-2752_2025_2_38

Vladimir P. Odyniec – W.P.Odyniec@mail.ru

Text

Abstract. The article discusses about two Soviet mathematicians G. D. Grodsky (1871–1943) and A. A. Satkevich (1869–1938). By March 1917, G. D. Grodsky was the head of Mikhailov Artillery Academy, while A. A. Satkevich was the head of the Military Engineering Academy. During the Soviet period, Grodsky headed the Department of Higher Mathematics in Kuybyshev (1936–1943), while Satkevich led the Department of Aerohydromechanics at the Faculty of Physics and Mathematics (1930–1933) and at the Faculty of Mathematics and Mechanics of Leningrad State University (1933–1936). For the works of these mathematicians, see the authors book ”On the works of mathematicians who did not live to see Victory Day on May 9, 1945” – St. Petersburg: ”Costa”, 2025. – 96 p.

Keywords: G. D. Grodsky, A. A. Satkevich.

References

Potemkin E. L. Grodsky Georgy Dmitrievich. Biograficheskiy slovar’: Vysshiye chiny Rossiyskoy imperii : [v 3 t.]. T. 1. (22.10.1721 — 02.03.1917) [Biographical Dictionary : Highest Ranks of the Russian Empire : [in 3 volumes]. Vol. 1. (October 22, 1721 — March 2, 1917)]. Moscow: (no publ.), 2017. Pp. 697–628. ( In Russ.)
Grodsky G. D. Teoriya funktsiy kompleksnykh kolichestv, osnovannaya na rasprostranenii sposoba Gaussa dlya geometricheskogo predstavleniya etikh kolichestv [The theory of complex quantities, based on the extension of the Gaussian method for the geometric representations of these quantities]. St. Petersburg: Printing House of the Imperial Academy of Sciences, 1895. 546 p. (In Russ.)
Grodsky G. D. Teoriya garmonicheskikh funktsiy (v chastnosti — potentsial’nykh) i prilozheniye ikh k integrirovaniyu uravneniy teorii uprugosti : dissertatsiya kapitana gvardii artillerii G. D. Grodskogo na zvaniye shtatnogo prepodavatelya Mikhaylovskoy Art. akad. [The theory of harmonic function (in particular, potential) and their application to the integration of equations in the theory of elasticity : a dissertation by Captain of the Guards Artillery G. D. Grodsky for the title of staff instructor at the Mikhail Artillery Academy]. St. Petersburg, Lit. Mikhail Artillery School, 1902. 602 p. (In Russ.)
Grodsky G. D. Kurs analiticheskoy geometrii dlya Artilleriyskikh uchilishch i podgotovki v Mikhaylovskuyu. Art. akademiyu. Chast’ 1. Analiticheskaya geometriya na ploskosti [Course of analytical geometry for Artillery schools and training at the Mikhail Artillery Academy. Part 1. Analitical geometry in the plane]. St. Petersburg: Printing House of N. N. Klebukov, 1903. 211 p. (In Russ.)
Grodsky G. D. Kurs analiticheskoy geometrii dlya Artilleriyskikh uchilishch i podgotovki v Mikh. Art. akademiyu. Chast’ 2. Analiticheskaya geometriya v prostranstve [Course of analytical geometry for Artillery schools and training at the Mikhail Artillery Academy. Part 2. Analitical geometry in space]. St. Petersburg: Printing House of the Imperial Academy of Sciences, 1903. 245 p. (In Russ.)
Grodsky G. D. Teoriya lafetov. Chast’ pervaya [The theory of carriages. Part one]. St. Petersburg: Printing House of the Imperial Academy of Sciences, 1906. 232 p. (In Russ.)
Grodsky G. D. Integral’noye ischisleniye. Chast’ 1. Integrirovaniye funktsiy (Izdaniye tret’ye) [Integral calculus. Part one. Integration of functions (Third edition)]. St. Petersburg: Printing House of the Imperial Academy of Sciences, 1912. 165 p. (In Russ.)
Grodsky G. D. Teoriya vintovykh pruzhin [Theory of helical springs]. L.: Comission for Special Artillery Experiments, 1925. 40 p. (In Russ.)
Nauka i nauchnyye rabotniki SSSR. Chast’ V. Nauchnyye rabotniki Leningrada : spravochnik [Science and Scientists of the USSR. Part V. Scientists of Leningrad : Directory]. L.: Publishing House of The Academy of Sciences of the USSR, 1934. 723 p. (In Russ.)
Grodsky G. D. Teoriya dinamicheskogo szhatiya vintovykh pruzhin [Theory of dynamic compression of helical springs]. L.: Edition of the Artillery Academy of the Red Army named after F. E. Dzerzhinsky, 161 p. (In Russ.)
Grodsky G. D. On reducing the margin of error and increasing the accuracy of its assessment when calculating the sums of sing constant infinite series. Uchenyye zapiski Kuybyshevskogo gos. pedagogicheskogo i uchitel’skogo instituta. Vyp. 3. Fakul’tet fiz.-mat [Scientific Notes of the Kuybyshev State Pedagogical and Teacher Training Institute.
Vol. 3. Faculty of Physics and Mathematics]. Kuybyshev: Kuybyshev Publishing House, 1940. Pp. 29–35. (In Russ.)
Grodsky G. D. On the integration in finite form a by means of quadrature of the second-order linear differential equation and the general Riccati equation. Sb. nauchno-issledovatel’skikh rabot Industrial’nogo in-ta [Collection of scientific research works of the Industrial Institute]. Kuybyshev, 1941. 2. Pp. 63–74. (In Russ.)
Tsvetkov O. B. Founder of Department of Hydro aerodynamics (on the 150th anniversary of the birth of Professor Alexander Aleksandrovich Satkevich. Aerodinamika : cb. statey [Aerodynamics. Collection of articles]. Edited by R. N. Miroshin. St. Petersburg: St. Petersburg University, 2000. Pp. 4–7. (In Russ.)
Сarrere d’Ancos Helen. Aleksandra Kollontay: Val’kiriya revolyutsii : per. s frants. [Alexandra Kollontai: Valkyrie of the Revolution (translated from French)]. Moscow: Political Encyclopedia, 187 p. (In Russ.)
Satkevich A. A. Vodosnabzheniye gorodov. Sobraniye osnovnykh pravil proyektirovaniya i raschetnykh formul i tablits [Water supply for cities. A collection of basic design rules and calculation formulas and tables]. St. Petersburg: Published by A. Berezovsky, P. Alekseev, A. Petrov. 1899. 109 p. (In Russ.)
Satkevich A. A. Ustanovivsheyesya pryamolineynoye dvizheniye gaza, dalekogo ot usloviy szhizheniya : dissertatsiya na soiskaniye zvaniya Ekstraordinarnogo Professora po kafedre Prikladnoy mekhaniki [Established rectilinear gas movement, distant from liquefaction conditions : dissertation for the title of Extraordinary Professor at the Department of Applied Mechanics]. St. Petersburg: Art print Society, 101 p. (In Russ.)
Satkevich A. A. Gidromekhanika (1-ya chast’ “Kursa Gidravliki” Nikolayevskoy Inzhenernoy akademii) [Hydromechanics (1st part of the “Hydraulics Couse” of the Nikolaev Engineering Academy)]. St. Petersburg: Art print Society, 1904. 255 p. (In Russ.)
Satkevich A. A. Nachal’nyy kurs vysshego matematicheskogo analiza [Introduction to Advanced Mathematical Analysis]. St. Petersburg: K. L. Rikker, 1905. 204 p. (In Russ.)
List of members and guests of the congress.Trudy I-go Vserossiyskogo S”yezda prepodavateley matematiki. T. II. Sektsii [Proceedings of the I All-Russian Congress of Mathematics Teachers. Vol. II. Sections]. St. Petersburg: Typ. “Sever”, 1913. 363 p. (In Russ.)
Satkevich A. A. Aerodinamika kak teoreticheskaya osnova aviatsii [Aerodynamics as the theoretical foundation of aviation]. Petrograd: Publishing House of the Institute of Engineers of Transport Communications, 1923. 579 p. (In Russ.)
Satkevich A. A. Analiz ploskogo struyevogo potoka kak tseloy mekhanicheskoy sistemy [Analysis of the flat jet flow as a whole mechanical system]. L.: Publishing House of the Russian Hydrological Institute, 1923. 136 p. (In Russ.)
Satkevich A. A. Teoreticheskiye osnovy gidro-aerodinamiki. Ch. 1. Kinematika zhidkikh tel [Natural coordinates of hydrodynamics controlled by the flow channel]. L.: Publishing House of the NordWestern Bureau of the Supreme Economic Council, 1926. 82 p. (In Russ.)
Satkevich A. A. Teoreticheskiye osnovy gidro-aerodinamiki. Ch. 1. Kinematika zhidkikh tel [Theoretical foundations of hydroaerodynamics. Part 1. Kinematics of liquid bodies]. L.: Publishing house of the educational combined institution of the civil air fleet, 238 p. (In Russ.)
Satkevich A. A. Teoreticheskiye osnovy gidroaerodinamiki. Ch. 2. Dinamika zhidkikh tel [Theoretical foundations of hydroaerodynamics. Part 2. Dynamics of liquid bodies]. L.; Moscow: ONTINKTP of the USSR, 1934. 459 p. (In Russ.)
Satkevich A. A. On the method of control surfaces in hydro dynamics. Trudy 2-go Vsesoyuznogo matematicheskogo s”yezda. Leningrad. 1934. T. 2. Sektsionnyye doklady [Proceeding of the 2nd All-Union Mathematical Congress. Leningrad. 1934. Vol. 2. Sectional Reports]. L.: Published by the Academy of Sciences of the USSR, 1935. Pp. 317–324. (In Russ.)
The case of Professor A. A. Satkevich. Tsentral’nyy gosudarstvennyy arkhiv Sankt-Peterburga [Central State Archive of St. Petersburg]. F.R.-3025. Op. 1-2. D.5175. (In Russ.)
Satkevich Alexander Aleksandrovich (1869–1938), hydro mechanic, corresponding member of the Academy of Sciences of the USSR. SPf Akademiya nauk SSSR [SPf Ar. Academy of Sciences of USSR]. F. 870. 37 storage unit. (In Russ.)

For citation: Odyniec V. P. About two Soviet mathematicians, former tsarist generals. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 2 (55), pp. 38−53. (In Russ.) https://doi.org/10.34130/1992-2752_2025_2_38

IV. APPLYING INCLUSIVE DESIGN TO MOBILE APPLICATION DEVELOPMENT

https://doi.org/10.34130/1992-2752_2025_2_54

Yuriy V. Golchevskiy – Pitirim Sorokin Syktyvkar State University, yurygol@mail.ru,

Arina M. Ulyasheva – Pitirim Sorokin Syktyvkar State University, arina.imp@yandex.ru

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Abstract. The paper discusses the theoretical foundations and practical approaches to the inclusive design of mobile applications. The relevance of the study is due to the digital mobility growth and the need to create solutions accessible to users with various types of limitations. The key standards and models are described – Microsoft principles, WCAG recommendations, and Persona Spectrum methodology. The typical errors violating the principles of accessibility analysis is carried out, and an integrated design model is proposed, including the stages of audit, participation, testing and implementation. The work highlights the importance of a systematic approach to inclusive design and its impact on the quality of user experience.

Keywords: Inclusive Design, Mobile Applications, Accessibility, WCAG, UX.

References

Number of smartphone mobile network subscriptions worldwide from 2016 to 2023, with forecasts from 2023 to 2028 [Electronic resource]. Available at: https://www.statista.com/statistics/330695/number-ofsmartphone-users-worldwide/ (accessed: 03.06.2025).
61.3 % of enterprises are strongly mobile-first. This article is for the other 39 %. Appsflyer [Electronic resource]. Available at: https://www.appsflyer.com/blog/mobile-marketing/enterprisesmobile-first/ (accessed: 03.06.2025).
Global Mobile E-Commerce Worth $ 2.2 Trillion in 2023 [Electronic resource]. Available at: https://www.statista.com/chart/13139/ estimated-worldwide-mobile-e-commerce-sales/ (accessed: 03.06.2025).
Global report on health equity for persons with disabilities. World Health Organization [Electronic resource]. Available at: https://www.who.int/teams/noncommunicable-diseases/sensoryfunctions-disability-and-rehabilitation/global-report-on-health-equityfor-persons-with-disabilities (accessed: 03.06.2025).
Accountability Now: Enforcing Accessibility Standards In the Mobile App Economy. World Institute on Disability, April 2025 [Electronic resource]. Available at: https://wid.org/wpcontent/uploads/2025/05/2025-Accountability-Now-Mobile-AppWP-3.pdf (accessed: 03.06.2025).
Mico D., Pano F., Patel S. ROI of Digital Accessibility Investments in Business Growth. Accessibility-test.org, March, 2025 [Electronic resource]. Available at: https://accessibilitytest.org/blog/industries/roi-of-digital-accessibility-investments-inbusiness-growth/ (accessed: 03.06.2025)
Sandesara M. et al. Design and experience of mobile applications: a pilot survey. Mathematics. 2022. Vol. 10. No 14. P. 2380. DOI: 10.3390/math10142380.
Fan H.Y. et al. A Comprehensive Review of Color-Emotion Design Models in Enhancing Usability for the Elderly of Mobile Healthcare Applications. The 9th International Conference on Communication and Media (i-COME 24). Atlantis Press, 2025. Pp. 227–237. DOI: 10.2991/978-94-6463-756-4_23.
Melnikov V. A., Yermolenko A. V. Development of XMLbased Markup Language. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. 2022. No 1 (42). Pp. 61– EDN: PROVIM. DOI: 10.34130/1992-2752_2022_1_61.
Inclusive Microsoft Design [Electronic resource]. Available at: https://inclusive.microsoft.design/tools-andactivities/Inclusive101Guidebook.pdf (accessed: 03.06.2025).
What is inclusive design? [Electronic resource]. Available at: https://www.inclusivedesigntoolkit.com/whatis/whatis.html (accessed: 03.06.2025).
Kendrick A. Inclusive Design. Nielsen Norman Group [Electronic resource]. Available at: https://www.nngroup.com/articles/inclusivedesign/ (accessed: 03.06.2025).
Weichbroth P. Usability Issues With Mobile Applications: Insights From Practitioners and Future Research Directions. IEEE Access. 2025. Vol. 13. Pp. 91301–91311. DOI: 10.1109/ACCESS.2025.3573503.
Bi T. et al. Accessibility in Software Practice: A Practitioner’s Perspective. ACM Transactions on Software Engineering and Methodology, 2022. Vol. 31. No 4. DOI: 10.1145/3503508.

For citation: Golchevskiy Yu. V., Ulyasheva A. M. Applying inclusive design to mobile application development. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 2 (55), pp. 54−69. (In Russ.) https://doi.org/10.34130/1992- 2752_2025_2_54

V. DIGITAL MAP OF SOCIO-ECONOMIC DEVELOPMENT OF THE KOMI REPUBLIC

https://doi.org/10.34130/1992-2752_2025_2_70

Andrei V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru

Artem G. Naddaka – Pitirim Sorokin Syktyvkar State University

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Abstract. The article describes technologies for developing a web application that visualizes socio-economic indicators of the Komi Republic with the ability to display by municipalities. The application is implemented in the JavaScript programming language using the D3.js, Chart.js libraries in combination with the open interfaces OpenStreetMap API and Wikidata API. Interaction with the user is carried out through the HTML canvas element, on which the contours of the region are dynamically drawn. The work demonstrates the use of modern web technologies to create flexible interactive tools for analyzing open data. The project code is posted in the public domain on GitHub.

Keywords: JavaScript, D3.js, Chart.js, Komi Republic, data visualization, statistical data, interactive map.

References

Durkin A. A., Yermolenko A. V., Kotelina N. O., Turkova O. I. Visualization of Numerical Calculations with Python. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mehanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Computer Science]. 2024. No 2 (51). Pp. 14–https://doi.org/10.34130/1992-2752_2024_2_14. (In Russ.)
Bakunova O. M., Burkin A. V., Protko D. E., Petrovich A. S., Malofeevskiy A. D. Visualizaciya dannykh na .NET F# [Data visualisation with .NET F#]. Web of Scholar. 2018. Vol. 1. No 4 (22). Pp. 19-22. (In Russ.)
Masloboev A. V., Masloboev V. A. Informacionnaya sistema «Interaktivnaya karta ekologicheskih problem Barenc-regiona» [Information system “Interactive map of environmental problems of the Barents region”]. Informatsionnyye resursy Rossii [Information resources of Russia]. 2020. No 4. Pp. 8–13. (In Russ.)
Popov E. V., Zaharkin I. V., Tkacheva E. A., Mihajlova S. M., Shpektorova O. A., Mihajlova G. A. Possibilities of the new geological information resource – ”Interactive map of exploration”. Otechestvennaya geologiya [Domestic geology]. 2020. No 6. Pp. 15–22. (In Russ.)
Geofabrik — Download Server [Electronic resource]. Available at: https://download.geofabrik.de/russia/northwestern-fed-district.html (accessed: 21.05.2025).
Komistat — Territorial’nyy organ Federal’noy sluzhby gosudarstvennoy statistiki po Respublike Komi [Komistat — Territorial body of the Federal State Statistics Service for the Komi Republic] [Electronic resource]. Available at: https://11.rosstat.gov.ru/ (accessed: 21.05.2025). (In Russ.)
Interactive Map of the Komi Republic with Visualization of Social Indicators [Electronic resource]. GitHub. Available at: https://111111n.github.io/Interactive-map-of-the-Komi-Republicwith-visualization-of-social-indicators/ (accessed: 24.05.2025).

For citation: Yermolenko A. V., Naddaka A. G. Digital map of socio-economic development of the Komi Republic. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 2 (55), pp. 70−79. (In Russ.) https://doi.org/10.34130/1992- 2752_2025_2_70

VI. TEACHER, SCIENTIST, RECTOR: PEDAGOGY OF UNDERSTANDING BY OLGA ALEXANDROVNA SOTNIKOVA (On the anniversary of the rector of Pitirim Sorokin Syktyvkar State University)

https://doi.org/10.34130/1992-2752_2025_2_80

Vladislav V. Sushkov – Pitirim Sorokin Syktyvkar State University, vvsu@mail.ru

Text

Abstract. The article is dedicated to the anniversary of Olga Aleksandrovna Sotnikova, Doctor of Pedagogical Sciences, Professor and Rector of the Pitirim Sorokin Syktyvkar State University. The analysis and description of the pedagogical and administrative activities of the hero of the day are carried out through the prism of her scientific ideas and methodological concepts.

Keywords: Sotnikova Olga Aleksandrovna, pedagogy, hermeneutic approach, substantive connections.

References

Sotnikova O. A. Tselostnost’ vuzovskogo kursa algebry kak metodologicheskaya osnova yego ponimaniya [Integrity of the University Algebra Course as a Methodological Basis for Understanding It] : monograph. Arkhangelsk: Pomor University, 2004. 356 p. (In Russ.)
Sotnikova O. A., Sushkov V. V. Features of educational and methodical work at pivotal technical university. Vyssheye obrazovaniye v Rossii [Higher Education in Russia]. 2016. No 6. Pp. 121–127. EDN WBKJMZ. (In Russ.)
Sotnikova O. A. The role of the reference university in the implementation of national projects. Obrazovaniye. Gosudarstvo. Obshchestvo: Respublikanskiy obrazovatel’nyy forum. Rol’ obrazovatel’nykh uchrezhdeniy i opornogo universiteta v razvitii regiona: diskussionnaya ploshchadka: sbornik materialov, Syktyvkar, 04 oktyabrya 2018 goda [Education. State. Society: Republican Educational Forum. The role of educational institutions and a reference university in the development of the region: discussion platform: collection of materials, Syktyvkar, October 04, 2018]. Syktyvkar: Pitirim Sorokin Syktyvkar State University, 2018. Pp. 9–14. EDN PHVYWG. (In Russ.)
Sotnikova O. A. Science of the young: experience of the student scientific association of Pitirim Sorokin Syktyvkar State University. Formirovaniye nauchnogo i kadrovogo potentsiala razvitiya Udmurtskoy Respubliki : sbornik konferentsii, Izhevsk, 08–10 noyabrya 2022 goda [Formation of scientific and personnel potential for the development of the Udmurt Republic : conference collection, Izhevsk, November 08–10,
2022]. Izhevsk: Publishing house ”Udmurt University”, 2022. Pp. 21–25. EDN LEQIXK. (In Russ.)
Sotnikova O. A., Chermnykh V. V. One example of studying abstract algebra methods in mathematic degree programs. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mehanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2024. No 2 (51). Pp. 44–56. DOI 10.34130/1992-2752_2024_2_44. EDN ELKIWL. (In Russ.)
Sotnikova O. A. Metodologicheskiy podkhod k izucheniyu teoreticheskogo materiala kursa algebry pedagogicheskogo vuza [Methodological approach to the study of the theoretical material of the algebra course of a pedagogical university]. Yelets: Yelets State
University named after I. A. Bunin, 2021. 177 p. EDN MOPWYL. (In Russ.)

For citation: Sushkov V. V. Teacher, scientist, rector: pedagogy of understanding by Olga Alexandrovna Sotnikova (On the anniversary of the rector of Pitirim Sorokin Syktyvkar State University). Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2025, no 2 (55), pp. 80−88. (In Russ.) https://doi.org/10.34130/1992-2752_2025_2_80

Bulletin 1 (54) 2025

Full text

I. SOME SUBGROUPS OF THE BARYCENTRIC GROUP

https://doi.org/10.34130/1992-2752_2025_1_4

Marina A. Stepanova – The Herzen State Pedagogical University of Russia, ratkebug@yandex.ru

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Abstract. By fixing the basic simplex in an affine space, one can introduce a barycentric coordinate system that assigns to each point an ordered set of numbers whose sum is equal to one. The transition matrices from one barycentric coordinate system to another barycentric coordinate system are called barycentric and form the barycentric group (a barycentric matrix is a nondegenerate square matrix, the sum of the elements in each column of which is equal to one).

Keywords: affine space, affine transformation, barycentric coordinate system, basic simplex, barycentric matrix.

References

M¨obius A. F. Der barycentrishe Calc¨ul: ein neues H¨ulfsmittel zur analytischen Behandlung der Geometrie. Leipzig: J. A. Barth, 1827. XXIV. 454 p.
Berg´e M. Geometriya : per. s francz. [Geometry : translation from French]. Moscow: Mir, 1984. Vol. 1. 560 p. (In Russ.)
Kostrikin A. I., Manin A. I. Linejnaya algebra i geometriya. 2-e izd. [Linear Algebra and Geometry. 2 ed.]. Moscow: Nauka. Main editorial office of Phys.-Math. Lit. 1986. 304 p. (In Russ.)
Stepanova M. A. Application of Barycentric Point Combinations in the Theory of Convex Polyhedra. Metodika prepodavaniya v sovremennoy shkole: aktual’nyye problemy i innovatsionnyye resheniya : materialy II Rossiysko-uzbekskoy nauchno-prakticheskoy konferentsii, Tashkent, 15–16 noyabrya 2024 goda [Teaching methods in a modern school: current problems and innovative solutions : materials of the II Russian-Uzbek scientific and practical conference, Tashkent, November 15–16, 2024]. Herzen State Pedagogical University. 2024. Pp. 263–268. (In Russ.)
Balk M. B., Boltyansky V. G. Geometriya mass [Geometry of masses]. Moscow: Nauka. Main editorial office of Phys.-Math. Lit. 1987. 160 p. (Library “Kvant”. Issue 61). (In Russ.)
Ponarin Y. P. E‘lementarnaya geometriya. Stereometriya. 3-e izd. [Elementary geometry. Stereometry. 3 ed.]. Moscow: MCNMO, 2015. Vol. 2. 256 p. (In Russ.)
Ponarin Y. P. E‘lementarnaya geometriya: Treugol‘niki i tetrae‘dry‘ [Elementary Geometry: Triangles and tetrahedrons]. Moscow: MCNMO, 2009. Vol. 3. 191 p. (In Russ.)
Stepanova M. A. Barycentric coordinates on a plane. Matematika dlya shkol‘nikov [Mathematics for Schoolchildren]. 2024. No 4. Pp. 8–(In Russ.)
Ponarin Y. P. Basic metric problems of planimetry in barycentric coordinates. Matematicheskij vestnik pedvuzov Volgo-Vyatskogo regiona [Mathematical Bulletin of Pedagogical Universities of the Volga-Vyatka Region]. 2002. Vol. 4. Pp. 114–132. (In Russ.)
Ponarin Y. P. The method of barycentric coordinates in metric problems of stereometry. Matematicheskij vestnik pedvuzov VolgoVyatskogo regiona [Mathematical Bulletin of Pedagogical Universities of the Volga-Vyatka Region]. 2004. Vol. 6. Pp. 189–200. (In Russ.)
Stepanova M. A. Barycentric coordinate system. Barycentric group. Sovremennyye problemy matematiki i matematicheskogo obrazovaniya: Gertsenovskiye chteniya, 77 : sbornik nauchnykh trudov Mezhdunarodnoy nauchnoy konferentsii, Sankt-Peterburg, 16–18 aprelya 2024 g. [Modern problems of mathematics and mathematical education: Herzen readings, 77: collection of scientific papers of the International scientific conference, St. Petersburg, April 16–18, 2024]. A. I. Herzen State Pedagogical University. 2024. Pp. 356–360. (In Russ.)
Dubrovin B. A., Novikov S. P., Fomenko A. T. Sovremennaya geometriya. Metody‘ i prilozheniya. Geometriya poverxnostej, grupp preobrazovanij i polej. 6-e izd. [Modern Geometry. Methods and Applications. Geometry of surfaces, groups of transformations, and fields. 6 ed.]. Мoscow: URSS, 2013. Vol. 1. 335 p. (In Russ.)

For citation: Stepanova M. A. Some subgroups of the barycentric group. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2025, no 1 (54), pp. 4−17. (In Russ.) https://doi.org/10.34130/1992-2752_2025_1_4

II. CAPTURING COORDINATED EVADERS IN A NONSTATIONARY SIMPLE PURSUIT PROBLEM WITH PHASE RESTRICTIONS

https://doi.org/10.34130/1992-2752_2025_1_18

Nikolai N. Petrov – Udmurt State University, kma3@list.ru

Ekaterina Yu. Ponomareva – Udmurt State University, kma3@list.ru

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Abstract. A non-stationary problem of simple pursuit by a group of pursuers of a group of evaders, provided that all evaders use the same control and do not leave the boundaries of a convex polyhedral set, is considered. Sufficient conditions for capturing at least one evader have been obtained.

Keywords: simple pursuit, pursuer, evader, capture.

References

Chikrii A. A. Conflict-controlled processes. Boston; London; Dordrecht: Kluwer Acad. Publ., 1997. 380 p.
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Blagodatskikh A. I., Petrov N. N. Konfliktnoe vzaimodeistvie grupp upravlyaemyh obiektov [Conflict interaction of groups of controlled objects]. Izhevsk: Udmurt State Unive rsity, 2009. 266 p. (In Russ.)
Satimov N. Yu. Metody resheniya zadachi presledovaniya v teorii differentsial’nykh igr [Methods for solving the pursuit problem in the theory of differential games]. Tashkent: Publishing House of the National Library of Uzbekistan, 2019. 230 p. (In Russ.)
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Kumkov S. S., Menec S. L., Patsko V. S. Zero-sum pursuit-evasion differential games with many objects: Survey of Publications. Dynamic Games and Applications. 2017. Vol. 7. No 4. Pp. 609–633.
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Satimov N., Mamatov M. S. On problems of pursuit and evasion away from meeting in differential games between the group of pursuers and evaders. Doklady Akademii Nauk Uzbekskoj SSR [Reports of the Academy of Sciences of the Uzbek SSR]. 1983. Vol. 4. Pp. 3–6. (In Russ.)
Vagin D. A., Petrov N. N. A problem of the pursuit of a group rigidly connected evaders. Journal of Computer and Systems Sciences International. 2001. Vol. 40. No 5. Pp. 749–753.
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For citation: Petrov N. N., Ponomareva E. Yu. Capturing coordinated evaders in a nonstationary simple pursuit problem with phase restrictions. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 1 (54), pp. 18−32. (In Russ.) https://doi.org/10.34130/1992-2752_2025_1_18

III. CONTEXT TASKS: MATHEMATICS, COMPUTER SCIENCE, CONLANGES

https://doi.org/10.34130/1992-2752_2025_1_33

Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University, valmasha@mail.ru

Marija A. Valueva – Petersburg State University of Culture

Nadezhda O. Kotelina – Pitirim Sorokin Syktyvkar State University, nkotelina@kirill

Text

Abstract. In scientific and pedagogical literature, the inclusion of contextual tasks in mathematics education is regarded as a way to enhance students’ interest, develop critical thinking, and foster professional competencies, and the ability to apply mathematical
knowledge in future careers. The article offers for discussion the author’s tasks, compiled based on artificial languages–conlangs. These tasks were tested in courses such as ”Discrete Mathematics”, ”Mathematical Foundations of Programming”, ”Applications of Discrete Mathematics in Computer Science”, and ”Computer Graphics”. The study involved students majoring in ”Applied Computer Science”, ”Applied Mathematics and Computer Science”
and ”Mathematics and Computer Science” at Syktyvkar State University (named after Pitirim Sorokin).

Keywords: contextual tasks, conlangs, mathematics, Python

References

Shutrova I. V. Development of cross-cutting tasks for the formation of mathematical literacy. Mir nauki, kul’tury, obrazovaniya [The world of science, culture and education]. 2024. No 6 (109). Pp. 353–357. DOI: 10.24412/1991-5497-2024-6109-353-357. (In Russ.)
Yanushchik O. V., Dalinger V. A. Context mathematical problems in the formation of core competences of engineering students. Vysshee obrazovanie v Rossii [Higher Education in Russia]. 2017. No 3. Pp. 151–(In Russ.)
Mongush A. S., Tanova O. M. Mathematical problems with a regional context as a tool of motivation in learning mathematics in the republic of Tuva. Vestnik KGPU im. V. P. Astaf’eva [Bulletin of Krasnoyarsk state pedagogical university named after V. P. Astafiev]. No 2 (36). Pp. 22–27. (In Russ.)
Malalina, Putri R. I. I., Zulkardi Z., Hartono Y. Developing mathematics teaching materials using maritime context for higher-order thinking in junior high school. Journal on Mathematics Education. 2024. Vol. 15. No 1. Pp. 173–190. DOI: 10.22342/jme.v15i1.
Tyumeneva Yu. A., Shklyaeva I. V. Two Approaches to the Concept of Knowledge Application: Transfer and Modeling. Overview and Criticism. Voprosy obrazovaniya [Educational Studies Moscow]. No 3. Pp. 8–33. DOI: 10.17323/1814-9545-2016-3-8-33. (In Russ.)
Tyumeneva Y. A., Goncharova M. V. Following the Template: Transferring Modeling Skills to Nonstandard Problems. Russian Education & Society. 2017. No 59 (5–6). Pp. 298–318. DOI:10.1080/10609393.2017.1408370.
Evelina L. N., Sedova K. P. Creating contextual tasks in the process of teaching students mathematics. Problemy teorii i praktiki innovacionnogo razvitiya i integracii sovremennoj nauki i obrazovaniya : materialy III Mezhdunarodnoj mezhdisciplinarnoj konferencii, Moskva, 16 fevralya 2022 goda [Problems of theory and practice of innovative development and integration of modern science and education : materials III international interdisciplinary conference, Moscow, February 16, 2022]. Editor-in-Chief and compiler V. G. Kostyakova. Moscow: Moscow State Regional University. 2022. Pp. 15–20. (In Russ.)
Larina G. Analysis of Real-World Math Problems: Theoretical Model and Classroom Application. Educational Studies. Moscow, 2016. No 3. Pp. 151–168. DOI: 10.17323/1814-9545-2016-3-151-168.
Babikova N. N., Kotelina N. O., Valueva M. A., Startsev N. A. Computer games and combinatorial problems. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mehanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. No 1 (50). Pp. 55–72. DOI: 10.34130/1992-2752_2024_1_55.
(In Russ.)
Piperski A. Ch. Konstruirovanie yazykov: ot esperanto do dotrakijskogo [Language construction: from Esperanto to Dothraki]. Moscow: Al’pina non-fikshn, 2017. 224 p. (In Russ.)
Tolkin Dzh. R. R. Pis’ma [Letters]. Moscow: Eksmo, 2004. 576 p. (In Russ.)
Reformatskij A. A. Vvedenie v yazykoznanie [Introduction to Linguistics]. Moscow: Aspekt Press, 2000. 536 p. (In Russ.)
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Keedwell A. Donald, D´enes J´ozsef. Latin Squares: New Developments in the Theory and Applications. Amsterdam: Elsevier, 270 p.

For citation: Babikova N. N., Valueva M. A., Kotelina N. O. Context Babikova N. N., Valueva M. A., Kotelina N. O. Context tasks: mathematics, computer science, conlanges. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 1 (54), pp. 33−51. (In Russ.) https://doi.org/10.34130/1992-2752_2025_1_33

IV. DEVELOPMENT AND POPULATION OF THE «LATE PALEOZOIC MIOSPORES» DATABASE USING ARTIFICIAL INTELLIGENCE TECHNOLOGIES

https://doi.org/10.34130/1992-2752_2025_1_52

Maria A. Shestakova – Pitirim Sorokin Syktyvkar State University, mariasheska@yandex.ru

Text

Abstract. This article presents an approach to developing and automatically populating a database containing information on Late Paleozoic miospores. A number of scientific publications on palynology have been used as data sources, including structured descriptions of genera of Late Paleozoic miospores. Text was extracted from the printed source using optical character recognition (OCR) technology based on the Python library Pytesseract. Data processing and structuring were implemented using the DeepSeek large language model. A relational database was implemented using the SQLAlchemy library and the SQLite database management system to store the structured information.

Keywords: large language models, OCR, Pytesseract, databases, Late Paleozoic miospores.

References

Schilling-Wilhelmi M., R´ıos-Garc´ıa M., Shabih S. et al. From text to insight: large language models for materials science data extraction. arXiv preprint arXiv: 2407.16867. 2024. Available at: https://arxiv.org/abs/2407.16867 (accessed: 20.03.2025).
Goncharov D. S., Grigoryev S. V. Large language models on the example of GPT-3 chatbots: current realities, problems of truth, advantages, and dangers. Vyzovy sovremennosti i strategii razvitiya obshchestva v usloviyakh novoy real’nosti : sbornik materialovm XV Mezhdunarodnoi nauchno-prakticheskoi konferentsii [Challenges of modernity and strategies for the development of society in the new reality : Proceedings of the XV International Scientific and Practical Conference]. Moscow: ALEF Publishing, 2023. Pp. 283–290. (In Russ.)
Telnova O. P., Babikova N. N., Kotelina N. O. The relevance and possibilities of digital transformation of the diagnostic process of Devonian spores. Geologiya i mineral’nyye resursy Yevropeyskogo Severo-Vostoka Rossii : materialy XVIII Geologicheskogo s”yezda Respubliki Komi, Syktyvkar, 10–12 aprelia 2024 goda [Geology and mineral resources of the European Northeast of Russia : Proceedings of the XVIII Geological Congress of the Komi Republic, Syktyvkar, April 10–12, 2024]. Syktyvkar: Komi Science Centre, Ural Branch of RAS. 2024. Pp. 199–201. (In Russ.)
Babenko V. V., Kotelina N. O., Telnova O. P. Software and information support for paleopalynological tasks. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mehanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Computer Science]. 2021. No 1 (38). Pp. 27–42. (In Russ.)
Telnova O. P. Miospory iz sredne-verkhnedevonskikh otlozheniy Timano-Pechorskoy provintsii [Miospores from the Middle-Upper Devonian deposits of the Timan-Pechora Province]. Yekaterinburg: Ural Branch of the Russian Academy of Sciences, 2007. 136 p. (In Russ.)
Babenko V. V., Telnova O. P. Problems and Prospects of Digital Identification of Devonian Spores for the Stratigraphy. Paleontological Journal. 2022. Vol. 56. No 9. Pp. 93–99.
Oshurkova M. V. Morfologiya, klassifikatsiya i opisaniya forma-rodov miospor pozdnego paleozoya [Morphology, classification, and description of form-genera of Late Paleozoic miospores]. St. Petersburg: Publishing VSEGEI, 2003. 377 p. (In Russ.)
GitHub – Python Tesseract [Electronic resource]. Available at: https://github.com/madmaze/pytesseract (accessed: 20.03.2025).
GitHub – tesseract-ocr/tesseract: Tesseract Open Source OCR Engine (main repository) [Electronic resource]. Available at: https://github.com/tesseract-ocr/tesseract (accessed: 20.03.2025).
Saoji S., Singh R., Eqbal A., Vidyapeeth B. Text recognition and detection from images using Pytesseract. Journal of Interdisciplinary Cycle Research. 2021. Vol. XIII. Pp. 1674–1679.
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DeepSeek [Electronic resource]. Available at: https://www.deepseek.com/en (accessed: 25.03.2025).

For citation: Shestakova M. A. Development and population of the «Late Paleozoic miospores» database using artificial intelligence technologies. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2025, no 1 (54), pp. 52−68. (In Russ.) https://doi.org/10.34130/1992-2752_2025_1_52

V. ODYNIEC VLADIMIR PETROVICH (TO THE 80TH ANNIVERSARY OF BIRTHDAY)

https://doi.org/10.34130/1992-2752_2025_1_69

Valerian N. Isakov – Pitirim Sorokin Syktyvkar State University

Vyacheslav A. Popov – Pitirim Sorokin Syktyvkar State University

Olga A. Sotnikova – Pitirim Sorokin Syktyvkar State University, sotnikovaoa@syktsu.ru

Text

Abstract. The article tells about professor V. P. Odyniec, a known mathematician and educator. It highlights the periods of his professional activity in St. Petersburg and Syktyvkar.

Keywords: Odyniec Vladimir Petrovich, review of publications over the last ten years.

References

Vershik A. M., Viro O. Ya., Isakov V. N.et al. Odyniec Vladimir Petrovich (to the sixty-fifth anniversary of his birth).Vladikavkazskiy matematicheskiy zhurnal [Vladikavkaz Mathematical Journal]. 2010. Vol. 12. Issue 4. Pp. 79–81. (In Russ.)
Popov V. A. Odyniec Vladimir Petrovich. Kafedra matematiki Komi pedinstituta: istoriya stanovleniya i razvitiya [Department of Mathematics of Komi Pedagogical Institute: history of formation and development]. V. A. Popov. Syktyvkar: Komi Pedagogical Institute. Pp. 167–168. (In Russ.)
Isakov V. N., Nikitenkov V. L., Popov V. A. To the seventieth anniversary of Professor One Vladimir Petrovich. Vestnik Syktyvkarskogo universiteta. Ser. 1. [Bulletin of the Syktyvkar University. Ser. 1] 2015. Issue 1 (20). Pp. 97–102. (In Russ.)
Isakov V. N., Nikitenkov V. L., Popov V. A. Odinets Vladimir Petrovich (on the 70th anniversary of his birth). Matematicheskiy vestnik pedvuzov i universitetov Volgo-Vyatskogo regiona : periodicheskiy mezhvuzovskiy sbornik nauchno-metodicheskikh
rabot [Mathematical Bulletin of Pedagogical Universities and Universities of the Volga-Vyatka Region : periodic interuniversity collection of scientific and methodological works]. Kirov: Scientific Publishing House of Vyatka State University, 2016. Issue 18. Pp. 24–29. (In Russ.)
Komi pedinstitut: vremya innovatsionnogo razvitiya. 1973–2014 : sbornik materialov i vospominanij [Komi Pedagogical Institute: time of innovative development. 1973–2014 : collection materials and memoirs]. Editorial board (compilers): V. N. Isakov (ch. ed.), Z. I. Nemshilova (corresponding ed.), O. E. Bondarenko, N. V. Zakharova, T. P. Koroleva, V. A. Popov. Syktyvkar: Publishing house of SSU named after Pitirim Sorokina, 2022. 774 p.: ill.

For citation: Isakov V. N., Popov V. A., Sotnikova O. A. Odyniec Vladimir Petrovich (to the 80th anniversary of birthday). Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2025, no 1 (54), pp. 69−79. (In Russ.) https://doi.org/10.34130/1992-2752_2025_1_69

Bulletin 4 (53) 2024

Full text

I. ESTIMATION OF INVESTMENT ACTIVITY BASED ON THE NEWS BACKGROUND

https://doi.org/10.34130/1992-2752_2024_4_4

Petr V. Borkov – Bank of Russia.

Olga A. Maltseva – Bank of Russia, maltseva.rs@yandex.ru

Irina V. Polyakova – Bank of Russia.

Evgenija N. Startseva – Pitirim Sorokin Syktyvkar State University

Text

Abstract. The purpose of our research is to build a leading indicator of investment activity based on the analysis of Telegramchannel news. The available Rosstat data on investment activity are
published with a time lag and are subject to adjustment, which makes it difficult to use them in an operational assessment of the current economic situation. The paper considers two approaches:
the first is based on a keyword filter, the second is based on the „BERT“ language model. Both approaches demonstrate a statistically significant correlation with Rosstat data.

Keywords: NLP, machine learning, BERT, rubert-tiny2, investment activity, Python

References

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Baker S. R., Bloom N., Davis S. J. Measuring Economic Policy Uncertainty. Quarterly Journal of Economics. 2016. Vol. 131 (4). Pp. 1593–1636. DOI:10.1093/qje/qjw/024.
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Petrova D., Trunin P. Assessment of the level of uncertainty of economic policy. Den’gi i kredit [Money and credit]. 2023. No 82 (3). Pp. 48–61. (In Russ.)
Yakovleva K. Assessment of economic activity based on text analysis. Den’gi i kredit [Money and credit]. 2018. No 77 (4). Pp. 26–41. DOI: 10.31477/rjmf.201804.26. (In Russ.)
Kolyuzhnov D. V., Kolyuzhnov E. D., Lyakhnova M. V. Taking into account the information background in the DSGE model of the Russian economy with adaptive learning. Mir ekonomiki i upravleniya [World of Economics and Management]. 2023. Vol. 23 (4). Pp. 60–82.DOI: 10.25205/2542-0429-2023-23-4-60-82. (In Russ.)
Jacob Devlin, Ming-Wei Chang, Kenton Lee and Kristina Toutanova. BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding. Proceedings of the 2019 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies. 2019. Vol. 1. Long and Short Papers. Pp. 4171–4186, Minneapolis, Minnesota. Available at: https://aclanthology.org/N19-1423/(accessed: 14.10.2024).
Nosko V. P. Ekonometrika : v 2 kn. [Econometrics : in 2 books]. Moscow: Publishing House „Delo“ RANEPA, 2021. Book 1. 704 p. (Academic textbook). (In Russ.)
Mkhitaryan V. S. et al. Ekonometrika : uchebnik [Econometrics : textbook]. Ed. Doctor of Economics sciences, prof. V. S. Mkhitaryan. Moscow: Prospekt, 2009. 384 p. (In Russ.)
Dale David. Malen’kiy i bystryy BERT dlya russkogo yazyka [Small and fast BERT for the Russian language]. June, 2021. Available at: https://habr.com/ru/post/562064 (accessed: 14.10.2024).
Dale David. Reyting russkoyazychnykh enkoderov predlozheniy [Rating of Russian-language sentence encoders]. June, 2022. Available at: https://habr.com/ru/articles/669674 (accessed: 14.10.2024).

For citation: Borkov P. V., Maltseva O. A., Polyakova I. V., Startseva E. N. Estimation of investment activity based on the news background. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 4 (53), pp. 4−20. (In Russ.) https://doi.org/10.34130/1992-2752_2024_4_4

II.NUMERICAL AND ANALYTICAL SIMULATION OF TWO-DIMENSIONAL STATIC BIDOMAIN EFFECTS IN THE MYOCARDIUM

https://doi.org/10.34130/1992-2752_2024_4_21

Igor’ N. Vasserman – Institute of Continuous Media Mechanics UB RAS.

Igor’ N. Shardakov – Institute of Continuous Media Mechanics UB RAS.

Irina. O. Glot – Institute of Continuous Media Mechanics UB RAS.

Aleksey P.Shestakov – Institute of Continuous Media Mechanics UB RAS.

Text

Abstract. From a macroscopic point of view, cardiac muscle can be considered as two anisotropic conducting media – extracellular and intracellular space, interacting through the membrane. The
model of electrical activity of the heart built on such assumptions is called bidomain. If we assume that the conductivity tensors of the intracellular and extracellular spaces are similar, then the model of the cardiac muscle can be significantly simplified.

Keywords: myocardium, bidomain model, monodomain model, virtual electrodes.

References

Sachse F. B. Computational Cardiology. Modelling of Anatomy, Electrophysiology and Mechanics. Berlin: Springer-Verlag Berlin Heidelberg, 2004. 326 p.
Sundnes J. et al. Computing the Electrical Activity in the Heart. Berlin: Springer-Verlag Berlin Heidelberg, 2004. 318 p.
Poste M. et al A Comparison of Monodomain and Bidomain ReactionDiffusion Models for Action Potential Propagation in the Human Heart. IEEE Trans. Biomed. Eng. 2006. Vol. 53. Issue 12. Pp. 2425–2435.
Vasserman I. N., Matveenko V. P., Shardakov I. N., Shestakov A. P. Numerical simulation of the propagation of electrical excitation in the heart wall taking its fibrous laminar structure into account. Biophysics 2015. Vol. 61. Issue 2. Pp. 297–302.
Vasserman I. N., Matveenko V. P., Shardakov I. N., Shestakov A. P. The mechanism of the initiation of cardiac arrhythmias due to a pathological distribution of myocardial
conductivity. Biophysics 2016. Vol. 61. Issue 2. Pp. 297–302.
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Roth B. J., Beaudoin D. L. Approximate analytical solutions of the Bidomain equations for electrical stimulation of cardiac tissue with curving fibers. Phys. Rev. E. 2003. Vol. 67. Issue 5. Pp. 051925.
Vasserman I. N. Numerical Simulation of Mechanoelectric Feedback in a Deformed Myocardium. J. Appl. Mech. Tech. Phys. 2020. Vol. 61. Issue 7. Pp. 1116–1127.
Sepulveda N. G. et al. Current injection into a two-dimensional anisotropic bidomain. Biophys. J. 1989. Vol. 55. Pp. 987–999.
Goel V., Roth B. J. Approximate analytical solutions to the bidomain equations describing electrical activity in cardiac tissue. Proceedings of the 13th Southern Biomedical Conference. Washington, DC , April 16- 17, 1994. Pp. 967–970.
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For citation: Vasserman I. N., Shardakov I. N., Glot I. O., Shestakov A. P. Numerical and analytical simulation of two-dimensional static bidomain effects in the myocardium. Vestnik Syktyvkarskogo
universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 4 (53), pp. 21−38. (In Russ.) https://doi.org/10.34130/1992- 2752_2024_4_21

III. CONSTRUCTION OF MODELS OF THE IMPACT OF ENVIRONMENTAL QUALITY ON PUBLIC HEALTH

https://doi.org/10.34130/1992-2752_2024_4_39

Viktor A. Rybak – Belarusian State University of Informatics and Radioelectronics, v.rybak@bsuir.by

Text

Abstract. The paper considers the issues of constructing various information models for analyzing and forecasting the impact of air and soil pollution on the health of children. The initial data are
numerical series generated during studies of regional centers of the Republic of Belarus. Morbidity levels were obtained taking into account the division of city territories into service areas of polyclinics. To assess and analyze the quality of the environment, field studies were carried out with sampling and subsequent construction of maps of the probability distribution of pollutant concentrations.

Keywords: neural networks, regression models, environmental quality analysis, neuro-fuzzy model.

References

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Leonenkov A. V. Nechetkoye modelirovaniye v srede MATLAB i fuzzyTECH [Fuzzy modeling in MATLAB and fuzzyTECH environments]. SPb.: BHV-Petersburg, 2005. 736 p. (In Russ.)
Metodika rascheta kontsentratsii v atmosfernom vozdukhe veshchestv, soderzhashchikhsya v vybrosakh predpriyatiy [Methodology for calculating the concentration of substances in the atmospheric air contained in emissions from enterprises]. OND-86: Goshydromet. L.:
Gidrometizdat, 1987. 92 p. (In Russ.)
Naumenko T. E., Rybak V. A. Legislative support for assessing the risk of impact on public health of atmospheric air quality in the Republic of Belarus. Analiz riska zdorov’yu [Health risk analysis]. 2013. No 1. Pp. 30–35. (In Russ.)
Rutkovskaya D., Pilinsky M., Rutkovsky L. Neyronnyye seti, geneticheskiye algoritmy i nechotkiye sistemy : per. s pol’sk. [Neural networks, genetic algorithms and fuzzy systems : transl. from Polish]. Moscow: Goryachaya Liniya – Telecom, 2006. 452 p. (In Russ.)
Rybak V. A. Metodologicheskiye osnovy prinyatiya resheniy dlya upravleniya prirodookhrannoy deyatel’nost’yu [Methodological foundations of decision-making for environmental management]. Minsk: RIVSH, 2009. 274 p. (In Russ.)

For citation: Rybak V. A. Construction of models of the impact of environmental quality on public health. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 4 (53), pp. 39−51. (In Russ.) https://doi.org/10.34130/1992-2752_2024_4_39

IV. INVESTIGATIVE TRAINING IN MATHEMATICS AND COMPUTER ALGEBRA SYSTEMS

https://doi.org/10.34130/1992-2752_2024_4_52

Vladimir A. Testov – Vologda State University, vladafan@inbox.ru

Roman A. Popkov – ITMO University, r-popkov@yandex.ru

Text

Abstract. The article shows that the digital transformation of society and education is associated with a new stage of mathematization of knowledge and at the present stage both the
style of mathematical thinking and the mathematical paradigm have changed. In accordance with the changes, it is necessary to change both the content of mathematical courses and the methods of teaching them, giving preference to inquiry-based learning and the use of computer algebra systems.

Keywords: mathematization of knowledge, mathematical modeling, exploratory training, computer experiments.

References

Semenov A. L. On the continuation of Russian mathematical education in the 21st century. Vestnik Moskovskogo universiteta. Pedagogicheskoye obrazovaniye [Bulletin of Moscow University. Teacher education]. 2023. Vol. 20. No 2. Pp. 7–45. (In Russ.)
Testov V. A. Digitalization of science and education as a result of the synergy of the processes of informatization and mathematization. Pedagogicheskaya informatika [Pedagogical informatics]. 2024. No 2. Pp. 111–120. (In Russ.)
Klein M. Matematika. Utrata opredelennosti [Mathematics. Loss of certainty]. Moscow: Mir; 1984. 434 p. (In Russ.)
Perminov E. A., Testov V. A. Mathematization of specialized disciplines as the basis for the fundamentalization of IT training in universities Obrazovaniye i nauka [Education and Science]. 2024. Vol. 26. No 7. Pp. 12–43. DOI: 10.17853/1994-5639-2024-7-12-43. (In Russ.)
Sadovnichy V. A. Bol’shiye dannyye v sovremennom mire [Big data in the modern world]. Moscow: Moscow State University named after. M. V. Lomonosov, 2017. 28 p. (In Russ.)
Vavilov N. A., Khalin V. G., Yurkov A. V. The skies are falling: Mathematics for non-mathematicians. Doklady Rossiyskoy akademii nauk. Matematika, informatika, protsessy upravleniya [Reports of the Russian Academy of Sciences. Mathematics, computer science,
management processes]. 2023. Vol. 511. No 1. Pp. 144–160. (In Russ.)
Popkov R. A., Moskalenko M. A., Tabieva A. V., Matveeva M. V. Algebra vs computer algebra in the context of mass mathematical education. Sovremennoye professional’noye obrazovaniye
[Modern professional education]. 2024. No 3. Pp. 50–53. (In Russ.)

For citation: Testov V. A., Popkov R. A Investigative training in mathematics and computer algebra systems. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 4 (53), pp. 52−68. (In Russ.) https://doi.org/10.34130/1992-2752_2024_4_52

V. AUTOMATED ANALYSIS OF SHUNGITE MICROSCOPY IMAGES

https://doi.org/10.34130/1992-2752_2024_4_69

Vladimir A. Ustyugov – Pitirim Sorokin Syktyvkar State University, ustyugov@syktsu.ru

Igor V. Antonets – Pitirim Sorokin Syktyvkar State University.

Evgeny A. Golubev – Institute of Geology, Federal Research Centre Komi Science Centre,
Ural Branch, RAS, golubev@geo.komisc.ru

Text

Abstract. The paper is devoted to the issues of automated analysis of high-resolution transmission electron microscopy images of shungite samples using computer vision technology. The technique
of image preprocessing is described. An algorithm for the selection of shungite structural elements based on the template search method is developed.

Keywords: shungite, electron microscopy, computer vision.

References

Melezhik V. A., Filippov M. M., Romashkin A. E. A giant palaeoproterozoic deposit of shungite in NW Russia: Genesis and practical applications. Ore Geol. Rev. 2004. Vol. 24. Pp. 135–154. DOI: 10.1016/j.oregeorev.2003.08.003.
Golubev Ye. A., Antonets I. V., Korolev R. I. et al. Characterization of nanostructure of naturally occurring disordered sp2 carbon by impedance spectroscopy. Materials Chemistry and Physics. 2024. Vol. 317. P. 129181. DOI: 10.1016/j.matchemphys.2024.129181.
Harris P. J. F. New perspectives on the structure of graphitic carbons. Crit. Rev. Solid State Mater. Sci. 2005. Vol. 30. Pp. 235–DOI: 10.1080/10408430500406265.
Toth P. Nanostructure quantification of turbostratic carbon by HRTEM image analysis: State of the art, biases, sensitivity and best practices. Carbon. 2021. Vol. 178. Pp. 688–707. DOI:
10.1016/j.carbon.2021.03.043.
Kviecinska B. Investigations of shungite. Bull. Polish Acad. Sci. (Chem.) 1968. Vol. 16. Pp. 61–65.
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Kovalevski V. V. Structure of shungite carbon. Russ. J. Inorg. Chem. 1994. Vol. 39. Pp. 28–32.
Golubev Ye. A., Antonets I. V. Electrophysical Properties and Structure of Natural Disordered sp2 Carbon. Nanomaterials. 2022. Vol. 12 (21). P. 3797. DOI: 10.3390/nano12213797.
Kovalevski V. V., Rozhkova N. N., Zaidenberg A. Z., Yermolin A. P. Fullerene-like structures in shungite and their physical properties. Mol. Mater. 1994. Vol. 4. Pp. 77–80.
Sheka E. F., Rozhkova N. N., Holderna-Natkaniec K., Natkaniec I. Nanoscale reduced-graphene-oxide origin of shungite in light of neutron scattering. Nanosystems: Phys. Chem. Math. 2014. Vol. 5. Pp. 659–672.
Antonets I. V., Golubev E. A., Shavrov V. G., Shcheglov V. I. Investigation of electrical conductivity of graphene-contained shungite using the high-resolution scanning electron microscopy. Journal of Radio Electronics 2021. No 3. DOI: 10.30898/1684-1719.2021.3.9.
Antonets I. V., Golubev Y. A., Ignatiev G. V. et al. Influence of layers orientation of graphene stacks in shungite disordered carbon to its integral electrical conductivity. J. Phys. Confer. Ser. 2022. Vol. 2315. 012039. DOI: 10.1088/1742-6596/2315/1/012039.
Antonets I. V., Golubev Y. A., Shcheglov V. I. Application of the trinary discretization method for the structural analysis of natural disordered sp 2 carbon. Fullerenes Nanotubes and Carbon Nanostructures. 2024. Vol. 32. Issue 3. Pp. 246–253. DOI: 10.1080/1536383X.2023.2273416.
Antonets I. V., Golubev Y. A., Shcheglov V. I. Evaluation of microstructure and conductivity of two-phase materials by the scanning spreading resistance microscopy (the case of
shungite). Ultramicroscopy. 2021. Vol. 222. P. 113212. DOI: 10.1016/j.ultramic.2021.113212.
Antonets I. V., Golubev Y. A., Shcheglov V. I. et al. Estimation of local conductivity of disordered carbon in a natural carbon-mineral composite using a model of intragranular currents.
Journal of Physics and Chemistry of Solids. 2022. Vol. 171. P. 110994. DOI: 10.1016/j.jpcs.2022.110994.
Antonets I. V., Golubev Y. A., Shcheglov V. I. The effect of structure on the conductivity of disordered carbon (the case of graphene-containing shungite). Fullerenes Nanotubes and
Carbon Nanostructures. 2023. Vol. 31. Issue 10. Pp. 961–970. DOI: 10.1080/1536383X.2023.2226273.
Golubev Y. A., Antonets I. V., Shcheglov V. I. Static and dynamic conductivity of nanostructured carbonaceous shungite geomaterials. Materials Chemistry and Physics. 2019. Vol. 226. Pp. 195–203. DOI: 10.1016/j.matchemphys.2019.01.033.
Babikova N. N., Kotelina N. O., Tentyukov F. N. Analysis of data on forest fires in the Komi Republic using Excel and Python. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika.
Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. 2023. No 4 (49). Pp. 29–46. DOI: 10.34130/1992-2752_2023_4_29. (In Russ.)
Babikova N. N. Using NumPy to vectorization of Python code. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. 2023. No 1 (46). Pp. 14–29. DOI: 10.34130/1992-2752_2023_1_14. (In Russ.)

For citation: Ustyugov V. A., Antonets I. V., Golubev E. A. Automated analysis of shungite microscopy images. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 4 (53), pp. 69−83. https://doi.org/10.34130/1992-2752_2024_4_69

VI.ON THE NUMERICAL SOLUTION OF THE DIRICHLET PROBLEM FOR THE POISSON EQUATION IN AN ARBITRARY DOMAIN

https://doi.org/10.34130/1992-2752_2024_4_84

Andrey V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru

Yakov A. Pozdeev – Pitirim Sorokin Syktyvkar State University.

Text

Abstract. Solving partial differential equations for an arbitrary domain is a non-trivial task. The article presents an algorithm for numerically solving the Dirichlet problem for the Poisson’s equation. Examples of numerical calculations are given, and the error of the results obtained is estimated.

Keywords: numerical solution, Poisson’s equation, the Laplace equation, the Dirichlet problem.

References

Tixonov A. N., Samarskij A. A. Uravneniya matematicheskoy fiziki [Equations of Mathematical Physics]. Moscow: Nauka, 1977. 736 p. (In Russ.)
Yermolenko A. V., Kozhageldiev N. V. On the solution of the inhomogeneous biharmonic equation. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. No 3 (44). Pp. 64–78. (In Russ.)
Demidovich B. P., Maron I. A., Shuvalova E. Z. Chislennye metody analiza [Numerical methods of analysis]. Moscow: State Publishing House of Physical and Mathematical Literature, 1963. 400 p. (In Russ.)
Yermolenko A. V. Kontaktnyye zadachi so svobodnoy granitsey : uchebnoye posobiye [Contact problems with free boundary : textbook]. Syktyvkar: Izd. Pitirim Sorokin, 2020. 1 opt. compact disc (CD-ROM). 105 p. (In Russ.)
Yermolenko A. V., Osipov K. S. On using Python libraries to calculate plates. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. 2019. No 4 (33). Pp. 86–(In Russ.)
Kry‘lov V. I., Bobkov V. V., Monasty‘rskij P. I. Vychislitel’nyye metody : ucheb. posobiye [Computational methods : textbook]. Moscow: Nauka, 1977. Vol. 2. 399 p. (In Russ.)

For citation: Yermolenko A. V., Pozdeev Ya. A. On the numerical solution of the Dirichlet problem for the Poisson equation in an arbitrary domain. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 4 (53), pp. 84−94. (In Russ.) https://doi.org/10.34130/1992-2752_2024_4_84

Bulletin 3 (52) 2024

Full text

I. Integration with various payment systems: challenges and solutions

https://doi.org/10.34130/1992-2752_2024_3_4

Timur I. Vasilev – Paybis LTD Scotland, timmi129@yandex.ru

Text

Abstract. In today’s fast-paced digital world, the ability to integrate with various payment systems is most important for companies of any size. Whether you run a small online store or a
large organization, providing customers with easy and secure payment options should always remain a top priority. However, the process of integrating with multiple payment processors can be complex and present many challenges.

Keywords: payment systems, integration optimization, automation, web application.

References

Chishti S., Craddock T. The PAYTECH Book. Wiley. 2020. Pp. 48–51.
Benson C. C., Loftesness S. Payment Systems in the U.S.: Third Edition. Glenbrook Partners. 2017. Pp. 18–22.
O’Mahony D., Peirce M., Tewari H. Electronic Payment Systems for E-Commerce. Artech House. 2001. Pp. 25–33.
Makembaeva K. I., Myrzakhmatova Zh. B. Modern payment technologies. Izvestiya vuzov Kyrgyzstana [News of universities of Kyrgyzstan]. 2023. Pp. 134–138. (In Russ.)
Kulumbegova L. V. National payment system of Russia: Assessment of the status and analysis of the use of payment instruments. Ekonomika i upravlenie: Problemy, resheniya [Economics and management: Problems, solutions]. 2021. Pp. 135–140. (In Russ.)
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Dokumentaciya YuKassa [Yukassa documentation]. Available at: https://yookassa.ru/developers (accessed: 22.10.2024). (In Russ.)
Dokumentaciya Paypal [Paypal documentation]. Available at: https://developer.paypal.com/docs/online/ (accessed: 22.10.2024). (In Russ.)
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Dokumentaciya Trsutly [Trsutly documentation]. Available at: https://amer.developers.trustly.com/payments/docs/overview (accessed: 22.10.2024). (In Russ.)
Dokumentaciya Checkout [Checkout documentation]. Available at: https://api-reference.checkout.com/ (accessed: 22.10.2024). (In Russ.)
Dokumentaciya Square [Square documentation]. Available at: https://developer.squareup.com/reference/square/refunds-api (accessed: 22.10.2024). (In Russ.)
Dokumentaciya Stripe [Stripe documentation]. Available at: https://docs.stripe.com/api (accessed: 22.10.2024).
Opisanie standarta PCI DSS [PCI DSS Description]. Available at: https://selectel.ru/blog/pci-dss/ (accessed: 05.09.2024). (In Russ.)
Dokumentaciya po rabote s AWS Secrets [Documentation for working with AWS Secrets]. Available at: https://aws.amazon.com/ru/secretsmanager/faqs/ (accessed: 05.09.2024). (In Russ.)
Pfleeger C. P., Pfleeger S. L., Margulies J. Security in Computing. 5 ed. Westfield, Massachusetts USA: Prentice Hall, 2015. 910 p.
Rukovodstvo po sozdaniyu stranicy oplaty [Guide to creating a payment page]. Available at: https://reconcept.ru/blog/kak-sproektirovatpravil-nyj-interfejs-oplaty (accessed: 01.10.2024). (In Russ.)
Veb-sajt Sentry [Sentry web-site]. Available at: https://sentry.io/welcome (accessed: 01.10.2024). (In Russ.)
Veb-sajt ELK steka [ELK stack web-site]. Available at: https://www.elastic.co/elastic-stack (accessed: 01.10.2024). (In Russ.)
Evans D. S., Schmalensee R. Paying with Plastic: The Digital Revolution in Buying and Borrowing. 2 ed. Cambridge, Madsachusetts, USA: MIT Press, 2005. 44 p.
Skinner C. Digital Bank: Strategies to Launch or Become a Digital Bank. Singapore: Marshall Cavendish International Asia Pte Ltd, 2014. 35 p.

For citation: Vasilev T. I. Integration with various payment systems: challenges and solutions. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 3 (52), pp. 4−19.
(In Russ.) https://doi.org/10.34130/1992-2752_2024_3_4

II. Discrete mathematics for computer scientists: three-valued logic

https://doi.org/10.34130/1992-2752_2024_3_20

Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University, valmasha@mail.ru\

Text

Abstract. The use of three-valued logics in the development of information systems is primarily associated with the problem of incompleteness and uncertainty in data. All commercial database
systems using the structured query language SQL offer a solution for processing incomplete information based on three-valued logic.

Keywords: three-valued logic, Kleene’s logic, discrete mathematics, learning outcomes.

References

Tomova N. E. The emergence of three-valued logics: a logical and philosophical analysis. Vestnik Moskovskogo universiteta. Seriya 7: Filosofiya [Bulletin of Moscow University. Series 7: Philosophy]. 2009. No 5. Pp. 68–74. (In Russ.)
Karpenko A. S. Razvitie mnogoznachnoj logiki [Development of multivalued logic]. Moscow: Publisher of the LKI, 2010. 448 p. (In Russ.)
Maksimov D. Yu. N. A. Vasiliev’s logic and multivalued logic. Logicheskie issledovaniya [Logical research]. 2016. Vol. 22. No 1. Pp. 82–107. DOI: 10.21146/2074-1472-2016-22-1-82-107. (In Russ.)
Kotov Yu. B. Logical decision-making tools in the tasks of medical diagnostics. Upravleniye razvitiyem krupnomasshtabnykh sistem (MLSD’2009) : materialy tret’yey mezhdunarodnoy konferentsii (sektsii 4–6), Moskva, 05–07 oktyabrya 2009 goda. Institut problem
upravleniya im. V. A. Trapeznikova RAN [Management of LargeScale Systems Development (MLSD’2009) : proceedings of the Third International Conference (sections 4–6), Moscow, October 5–7, 2009. V. A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences]. Moscow: Establishment of the Russian academy institute of management problems named after V. A. Trapesnikova RAS, 2009. Vol 2. Pp. 254–256. (In Russ.)
Men‘shix A. V., Men‘shix T. V. The choice of methods for modeling estimates of the criminal situation. Okhrana, bezopasnost’, svyaz’ [Security, safety, communication]. 2024. No 9–3. Pp. 133–137. (In Russ.)
Men‘shix A. V., Men‘shix T. V. Using logical and arithmetic methods to model uncertainty. Tekhnika i bezopasnost’ ob”yektov ugolovno-ispolnitel’noy sistemy : sbornik materialov Mezhdunarodnoy nauchno-prakticheskoy konferentsii, Voronezh, 17–18 maya 2023 goda
[Technology and safety of penal facilities : collection of materials from the International scientific and practical conference, Voronezh, May 17–18, 2023]. Voronezh: FCOU Voronezh Institute of the Federal Penitentiary Service of Russia, Lines, 2023. Pp. 78–80. (In Russ.)
Men‘shix A. V., Men‘shix T. V. Modeling of partial uncertainty and incompleteness of data in management decision-making. Vestnik Voronezhskogo instituta MVD Rossii [Bulletin of the Voronezh Institute of the Ministry of Internal Affairs of Russia]. 2023. No 2. Pp. 132–137. (In Russ.)
Bessmertny I., Koroleva J., Sukhikh N., Vedernikov J. Ternary Logics in Decision Making. Reliability and Statistics in Transportation and Communication : Selected Papers from the 20th International Conference, Riga, 14–17 october 2020. Riga: Springer Nature, 2021. Pp. 411–419. DOI: 10.1007/978-3-030-68476-1_38.
Giniyatullin V. M., Gabitova E‘. A. Clustering of loan application data into a ternary vector. Elektrotekhnicheskiye i informatsionnyye kompleksy i sistemy [Electrical and information complexes and systems]. 2018. Vol. 14. No 1. Pp. 49–54. (In Russ.)
Filippov M. N. A method for processing incomplete data based on three-digit logic. Avtometriya [Autometry]. 2009. Vol. 45. No 5. Pp. 124–131. (In Russ.)
Libkin L. SQL’s Three-Valued Logic and Certain Answers. ACM Transactions on Database Systems. 2016. Vol. 41. No. 1. Article 1. Pp. 1–28. DOI: 10.1145/2877206
Kuzneczov S. D. Typed unknown values: a step towards solving the problem of representing missing information in relational databases. Trudy Instituta sistemnogo programmirovaniya RAN [Proceedings of the Institute of System Programming of the Russian Academy of
Sciences]. 2023. Vol. 35. No 2. Pp. 73–100. DOI: 10.15514/ISPRAS2023-35(2)-6. (In Russ.)
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Galiev Sh. I. Matematicheskaya logika i teoriya algoritmov [Mathematical logic and theory of algorithms]. Kazan‘: A. N. Tupolev KSTU Publishing House, 2002. 270 p. (In Russ.)
Yablonskij S. V. Vvedenie v diskretnuyu matematiku : ucheb. posobie dlya vuzov [Introduction to Discrete Mathematics : a textbook for Universities]. Moscow: Higher education, 2008. 384 p. (In Russ.)
Gavrilov G. P., Capozhenko A. A. Zadachi i uprazhneniya po diskretnoy matematike : ucheb. posobiye [Problems and exercises in discrete mathematics : textbook]. Moscow: Physical education, 2005. 416 p. (In Russ.)
Tarannikov Yu. V. Discrete Mathematics. Problem Book : textbook for Universities. Moscow: Yurayt Publishing House, 2024. 385 p. Obrazovatel‘naya platforma Yurajt [sajt] [Yurayt educational platform [web-site]]. Available at: https://urait.ru/bcode/536541 (accessed:
15.09.2024). (In Russ.)
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For citation: Babikova N. N. Discrete mathematics for computer scientists: three-valued logic. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 3 (52), pp. 20−35.
(In Russ.) https://doi.org/10.34130/1992-2752_2024_3_20

III. On the formation of critical thinking of students of a technical university in mathematics classes

https://doi.org/10.34130/1992-2752_2024_3_36

Marija S. Parmuzina – Ukhta State Technical University, mparmuzina@ugtu.net

Marina G. Rocheva – Ukhta State Technical University.

Ekaterina A. Terenteva – Ukhta State Technical University.

Text

Abstract. Developed critical thinking is necessary for every person to improve the quality of life in the conditions of modern realities: a large information field, an increased number of fraudulent
schemes, widespread use of computer technology, a fast pace of life, etc. It is especially important for students to have developed critical thinking, since this category of the population is most susceptible to malevolent manipulation from the outside.

Keywords: students of technical universities, critical thinking, teaching mathematics.

References

Plotnikova N. F. Formirovanie kriticheskogo myshleniya studentov vuza v usloviyah komandnoj formy organizacii obucheniya : monografiya [Formation of critical thinking of university students in the conditions of the command form of the organization of education : monograph]. Kazan: Kazan University Press, 2015. 84 p. (In Russ.)
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Dewey J. Psihologiya i pedagogika myshleniya [Psychology and pedagogy of thinking] Transl. from English by N. M. Nikolskaya; edited by N. D. Vinogradov. Moscow: Publishing House of the Mir Association,202 p. (In Russ.)
Kluster D. Chto takoe kriticheskoe myshlenie? [What is critical thinking?] [Electronic resource]. Available at: http://testolog.narod.ru/Other15.html (accessed: 25.10.2024). (In Russ.)
Butenko A. V., Hodos E. A. Kriticheskoe myshlenie: metod, teoriya, praktika : uchebno-metodicheskoe posobie [Critical thinking: method, theory, practice : an educational and methodical manual]. Moscow: MIROS, 2002. 176 p. (In Russ.)
Rocheva M. G., Terenteva E. A. To the problem of memorizing educational information by students of a technical university. Kommunikatsii. Obshchestvo. Dukhovnost’ – 2023 : materialy XXIII Mezhdunarodnoy nauchno-prakticheskoy konferentsii [Communications. Society. Spirituality – 2023 : materials of the XXIII International Scientific and Practical Conference]. Ukhta: UGTU. 2023. Pp. 244–249. (In Russ.)
Parmuzina M. S., Sokolova N. S. Informatization of teaching mathematics to students of technical fields. Vestnik NTsBZhD [Bulletin of Scientific Center for Life Safety]. 2024. No 1 (59). Pp 57–67. (In Russ.)
Derbush M. V., Skarbich S. N. Innovative approaches to the use of information technologies in the process of teaching mathematics. Nepreryvnoye obrazovaniye: XXI vek [Continuing education: XXI century]. 2020. Vol. 2 (30). Pp. 66–80. DOI: 10.15393/j5.art.2020.5689.
(In Russ.)
Temyanikova V. A., Bairov B. B., Davashkin E. Y., Mushkaeva Z. D. The use of ICT in the process of teaching the academic disciplines “Life safety” and “Mathematics” (on the example
of the system of secondary vocational education). Sovremennoye pedagogicheskoye obrazovaniye [Modern pedagogical education]. 2021. No 11. Pp. 223–226. (In Russ.)
Terenteva E. A., Rocheva M. G. Features of the use of digital technologies in teaching mathematics. Upravleniye ustoychivym razvitiyem toplivno-energeticheskogo kompleksa – 2023 : materialy IV Vserossiyskoy nauchno-prakticheskoy konferentsii [Management of sustainable development of the fuel and energy complex – 2023 : materials of the IV All-Russian scientific and practical conference]. Ukhta: UGTU, 2023. Pp. 45–49. (In Russ.)
Grambovskaya L. V., Badanina L. A. Problems of teaching mathematical statistics in a technical university using MS Excel. Mezhdunarodnyy nauchno-issledovatel’skiy zhurnal [International
Scientific Research Journal]. 2022. No 7–3 (121). Pp. 118–122. (In Russ.)

For citation: Parmuzina M. S., Rocheva M. G., Terenteva E. A. On the formation of critical thinking of students of a technical university in mathematics classes. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 3 (52), pp. 36−51. (In Russ.) https://doi.org/10.34130/1992-2752_2024_3_36

IV. Teaching mathematics to foreign students at a pedagogical university

https://doi.org/10.34130/1992-2752_2024_3_52

Marina E. Sangalova – Arzamas branch of the National Research Lobachevsky State University of Nizhni Novgorod, smolyanka77@mail.ru

Svetlana V. Fedorova – Arzamas branch of the National Research Lobachevsky State University of Nizhni Novgorod, smolyanka77@mail.ru

Elvira V. Frolova – Arzamas branch of the National Research Lobachevsky State University of Nizhni Novgorod, smolyanka77@mail.ru

Text

Abstract. The article considers the problem of organizing the teaching of mathematics to foreign students of a pedagogical university. Approaches to solving the problems of adapting the
content of mathematical disciplines to the level of training of this category of students, as well as the features of the teaching methodology are discussed.

Keywords: higher education, mathematics education, international students, pedagogical university.

References

The popularity of educational programs of Russian pedagogical universities among foreign students has increased one and a half times over the past three years. Minprosveshcheniya Rossii: sayt [Ministry of Education of Russia: website]. 2021. May 27 [Electronic
resource]. Available at: https://edu.gov.ru/press/3770/populyarnostobrazovatelnyh-programm-rossiyskih-pedvuzov-sredi-inostrannyhstudentov-v (accessed: 25.05.2024). (In Russ.)
O nacionalnih celyah razvitiya Rossiiskoi Federacii na period do 2030 goda i na perspektivu do 2036 god : ukaz Prezidenta RF ot 07.05.2024 № 309 [On the national development goals
of the Russian Federation for the period up to 2030 and for the future up to 2036 : decree of the President of the Russian Federation dated 05/07/2024 No 309] [Electronic resource]. Available
at: http://publication.pravo.gov.ru/document/0001202405070015 (accessed: 25.05.2024). (In Russ.)
Yakovleva E. V. Teaching mathematics to foreign students at the university based on a cognitive-visual approach Matematicheskiy vestnik Vyatskogo gosudarstvennogo universiteta [Mathematical Bulletin of Vyatka State University]. 2020. No 1. Pp. 84–93. (In Russ.)
Kochetkova I. V., Mumryaeva S. M., Egorchenko I. V. Features of the organization of independent work in teaching mathematics to foreign students at the university Pedagogicheskoe obrazovanie v Rossii [Pedagogical education in Russia]. 2018. No 8. Pp. 189–196. (In Russ.)
Fedorova S. V., Frolova E. V. Video content in the structure of the electronic educational course “Mathematics”. Sovremennye obrazovatel’nye web-tekhnologii v realizacii lichnostnogo potenciala obuchayushchikhsya : sbornik statej Mezhdunarodnoj nauchnoprakticheskoj konferencii “Sovremennye obrazovatelnye web-tekhnologii v realizacii lichnostnogo potenciala obuchayushchikhsya” [Modern educational web-technologies in the implementation of the personal potential of students : collection of articles from the International
scientific and practical conference “Modern educational webtechnologies in the implementation of the personal potential of students”]. Arzamas: Arzamas branch of UNN, 2022. Pp. 288–292. (In Russ.)

For citation: Sangalova M. E., Fedorova S. V., Frolova E. V. Teaching mathematics to foreign students at a pedagogical university. Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2024, No. 3 (52), pp. 52−65. https://doi.org/10.34130/1992-2752_2024_3_52

V. On the works of Ivan Alexandrovich Skopin (1900–1942), one of first students of Professor I. M. Vinogradov

https://doi.org/10.34130/1992-2752_2024_3_66

Vladimir P. Odyniec – W.P.Odyniec@mail.ru

Text

Abstract. The article deals with the works on number theory of Ivan Alexandrovich Skopin (1900–1942) against the background of the situation in the country in 20–30s.

Keywords: distribution of indices, prime module, primitive root, Euler function.

References

Nauka i nauchnye rabotniki SSSR. Chast V. Nauchnye rabotniki Leningrada : Spravochnik [Scientists of USSR. Part V. Scientists of Leningrad : handbook]. L.: Publishing House of the USSR Academy of Sciences, 1934. 723 p. (In Russ.)
Skopin I. A. About the distribution of indices in a prime module. Zh. Leningradskogo Fiz.-mat. obshchestva [Journal of Leningrad Physics and Mathematics society]. Vol. 2. Issue 1. 1928. Pp. 82–93. (In Russ.)
List of reports read at the Meetings of the Leningrad Physics and Mathematics Society from 1922 to 1927 Zh. Phiz.-mat.ob-va [Journal of the Physics and Mathematics society]. 1928. Vol. 1. Issue 2. Pp. 323–(In Russ.)
Na Leningradskom matematicheskom fronte. Sb. dokumentov Leningradskogo obshchestva matematikov-materialistov pri LOKa) [On the Leningrad Mathematical Front. Col. of documents of the Leningrad Society of Mathematicians-Materialists at the Leningrad Department of the Communist Academy]. Compiler L. A. Leifert. Leningrad: State social-economic publishing house, 1931. 44 p. (In Russ.)
Skopin I. A. On the distribution of fractional parts of a system of integer polynomials. Izvestya AN. Seria matematicheskaya [Proceedings of the USSR Academy of Sciences. Mathematical series].Pp. 547–560. (In Russ.)
Skopin I. A. On a System of Diophantine inequalities. Trudy 2- go Vsesouznogo matematicheskogo s’ezda. T. 2. Sekcionnye doklady [Proceedings of the 2nd All-Union Mathematical Congress. Vol. 2. Sectional pre- treasures]. Leningrad: Publishing House of the USSR Academy of Sciences, 1934. Pp. 17–19. (In Russ.)
Blokada. 1941–1944. Leningrad. Kniga pamyati. T. 27 (Sednev – Skorodumov) [Blockade. 1941–1944. Leningrad. Book of Memory. Vol. 27 (Sednev – Skorodumov)]. St. Petersburg: Publishing House of the Government of St. Petersburg, 2005. 712 p. (In Russ.)

For citation: Odyniec V. P. On the works of Ivan Alexandrovich Skopin (1900–1942), one of first students of Professor I. M. Vinogradov. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 3 (52), pp. 66−72. (In Russ.) https://doi.org/10.34130/1992-2752_2024_3_66

Bulletin 2 (51) 2024

Full text

I. A coupled model of viscoelastic curing of a cylindrical product

https://doi.org/10.34130/1992-2752_2024_2_4

Nadezhda A. Belyaeva – Pitirim Sorokin Syktyvkar State University.

Ilya O. Mashin – Institute of Physics and Mathematics, Federal Research Centre Komi Science Centre, Ural Branch, RAS.

Text

Abstract. This work considers the formation of a hollow cylindrical product under the conditions of the coupled theory of thermoviscoelasticity. The study is a continuation of work on an “uncoupled” problem and includes consideration of the influence of an additive viscoelastic term in the thermal conductivity equation on the process of product formation. A mathematical model is constructed
and investigated. The finite difference method is used for numerical analysis. Graphical results of studies reflecting the distribution of temperature, polymerization depth and stress-strain state of the formed product are presented.

Keywords: coupled problem, thermoviscoelasticity, finite difference method, numerical analysis.

References

Demidov A. V. Mathematical models for predicting the deformation of polymer materials based on the integral Boltzmann – Volterra relations. Izvestiya vyshikh uchebnih zavedenii. Severo-Kavkazskii region. Tekhnicheskie nauki [News of higher educational institutions. The North Caucasus region. Technical sciences]. 2006. No 4 (136). Pp. 35–37. (In Russ.)
Kartashov E. M., Nagaeva I. A., Benevolenskiy S. B. Generalized model of thermoviscoelasticity in the theory of heat stroke. Vestnik MITHT im. M.V. Lomonosova [Moscow State University of
Fine Chemical Technologies named after M. V. Lomonosov]. 2014. Vol. 9. No 3. Pp. 105–111. (In Russ.)
Orlov V. P. Investigation of the mathematical model of thermoviscoelasticity. Doklady Akademii nauk [Reports of the Academy of Sciences]. 1995. Vol. 343. No 3. Pp. 320–322. (In Russ.)
Oshmyan V. G., Patlazhan S. A., Remond Y. Principles of structural and mechanical modeling of polymers and composites. Vysokomolekulyarnie soedineniya. Seriya A [High molecular weight compounds. Series A]. 2006. Vol. 48. No 9. Pp. 1691–1702. (In Russ.)
Belyaeva N. A. Mathematical modeling of product curing under the conditions of the related theory of thermoviscoelasticity. Teoreticheskaya i prikladnaya mekhanika: mezdhunarodnyi nauchnothenicheskii sbornik [Theoretical and Applied Mechanics: an international scientific and technical collection]. Minsk: The Belarusian National Technical University, 2020. No 35. Pp. 139–145. (In Russ.)
Veselovskiy V. B., Syasev A. V. Mathematical modeling and solution of related problems of thermoviscoelasticity for two-phase bodies. Teoreticheskaya i prikladnaya mekhanika [Theoretical and applied mechanics]. 2002. No 35. Pp. 93–100. (In Russ.)
Belyaeva N. A., Klychnikov L. V. The method of the integral equation in the problem of volumetric curing. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Computer science]. 1996. No 2. Pp. 125–134. (In Russ.)
Lychev S. A. The related dynamic problem of thermoviscoelasticity. Izvestiya Rossiiskoi Akademii Nauk. Mekhanika tverdogo tela [Proceedings of the Russian Academy of Sciences. Solid State Mechanics]. 2008. No 5. Pp. 95–113. (In Russ.)
Landau L. D., Lifshitz E. M. Teoreticheskaya fizika : Uchebnoye posobiye : v 10 t. T. VI. Gidrodinamika [Theoretical physics : a textbook : in 10 vols. Vol. VI. Hydrodynamics]. 3rd ed., reprint. Moscow: Nauka, 1986. 736 p. (In Russ.)
Rabotnov Yu. N. Elementy nasledstvennoy mekhaniki tvordykh tel [Elements of hereditary mechanics of solids]. Moscow: Nauka, 1977. 384 p. (In Russ.)

For citation: Belyaeva N. A., Mashin I. O. A coupled model of viscoelastic curing of a cylindrical product. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 2 (51), pp. 4−13. (In Russ.) https://doi.org/10.34130/1992-2752_2024_2_4

II. Visualization of Numerical Calculations with Python

https://doi.org/10.34130/1992-2752_2024_2_14

Anatolij A. Durkin – Pitirim Sorokin Syktyvkar State University

Andrey. V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru

Nadezhda O. Kotelina – Pitirim Sorokin Syktyvkar State University

Oksana. I. Turkova – Pitirim Sorokin Syktyvkar State University

Text

Abstract. The simplicity of the syntax and the large number of Python libraries make it an indispensable tool for conducting laboratory work on a number of subjects, simplifying routine
operations when visualizing numerical calculations. In the article, the authors show examples of using Python libraries for plotting surfaces and interpolation curves, animating numerical methods.

Keywords: Python, visualization, numerical experiment, animation.

References

Bakunova O. M., Burkin A. V., Protko D. E. at al. Data visualisation with .NET F#. Web of Scholar. 2018. Vol. 1. No 4 (22). Pp. 19–22. (In Russ.)
Bondarev A., Galaktionov V. Modern development directions of data visualization in computational mechanics of fluid and gase. Nauchnaya vizualizatsiya [Science visualisation]. 2013. Vol. 5. No 4. Pp. 18–30. (In Russ.)
Akberova N. I., Kozlova O. S. Osnovy analiza dannyh i programmirovaniya v R : uchebno-metodicheskoe posobie [Fundamentals of data analysis and programming in R : a textbook]. Kazan’: Al’yans,33 p. (In Russ.)
Egoshin V. L., Ivanov S. V., Savvina N. V. at al. Visualization of biomedical data using the R software environment. Ekologiya cheloveka [Human ecology]. 2018. No 8. Pp. 52–64. (In Russ.)
Yermolenko A. V., Osipov K. S. On using Python libraries to calculate plates. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Computer science]. 2019. No 4 (33).
Pp. 86–95. (In Russ.)
D’yakonov, V. P. Maple 9.5/10 v matematike, fizike i obrazovanii [Maple 9.5/10 in mathematics, physics and education]. Moscow: SOLON-PRESS, 2006. 720 p. (In Russ.)
Golovanov N. N. Geomyetricheskoe modelirovaniye [Geometry modeling]. Moscow: Izdatyelstvo Phisiko-matematicheskoy lityeratury [Publishing House of physical and mathematical literature], 2002. 472 p. (In Russ.)
Piegl L., Tiller W. The NURBS Book. Monographs in Visual Communications. New York: Springer, 1995. 646 p.

For citation: Durkin A. A., Yermolenko A. V., Kotelina N. O., Turkova O. I. Visualization of Numerical Calculations with Python. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 2 (51), pp. 14−26. (In Russ.) https://doi.org/10.34130/1992-2752_2024_2_14

III. What is a semimodule

https://doi.org/10.34130/1992-2752_2024_2_27

Evgeny M. Vechtomov – Vyatka State University, vecht@mail.ru

Text

Abstract. The article deals with the beginnings of the theory of semimodules over a semiring. It considers initial properties and formulates some structure theorems about semimodules. The material is of a mathematical and methodological nature and includes a system of educational exercises.

Keywords: a semimodule over а semiring, study of the theory of semirings and semimodules.

References

Vechtomov E. M. What is a semiring. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics],No 1 (50). Pp. 21–42. https://doi.org/10.34130/1992-2752_2024_1_21. (In Russ.)
Vechtomov E. M. Vvedeniye v polukol’tsa [Introduction to Semirings]. Kirov: Izd-vo vyatsk. gos. ped. un-ta. 2000. 44 p. (In Russ.)
Vechtomov E. M., Lubyagina E. N., Chermnykh V. V. Elementy teorii polukolets : monografiya [Elements of the theory of semirings : monograph]. Kirov: Izdatelstvo OOO «Raduga-PRESS». 2012. 228 p. (In Russ.)
Golan J. S. Semirings and their applications. Dordrecht: Kluwer Academic Publishers, 1999. 382 p.
Vechtomov E. M. Two general structure theorems about semimodules. Abelevy gruppy i moduli [Abelian groups and modules].Vol. 15. Pp. 17–23. (In Russ.)
Vechtomov E. M. On three radicals for semimodules. Vestnik Vyatskogo gosudarstvennogo gumanitarnogo universiteta [Bulletin of Vyatka State University of Humanities]. 2005. No 13. Pp. 148–151. (In Russ.)
Vechtomov E. M., Shirokov D. V. Uporyadochennyye mnozhestva i reshetki : uchebnoye posobiye [Ordered sets and lattices : study guide]. Sankt-Peterburg: Lan’. 2024. 248 p. (In Russ.)
Vechtomov E. M., Petrov A. A. Funktsionalnaya algebra i polukoltsa. Polukoltsa s idempotentnym umnozheniyem : uchebnoye posobiye [Functional algebra and semirings. Semirings with idempotent multiplication : study guide]. Sankt-Peterburg: Lan’. 2022. 180 p.
(In Russ.)
Vechtomov E. M., Lubyagina E. N. Lineynaya algebra : uchebnoye posobiye dlya vuzov. 2-e izd. [Linear algebra : a study guide for universities. 2nd ed.]. Moscow: Urait. 2019. 150 p. (In Russ.)

For citation: Vechtomov E. M. What is a semimodule. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics.
Mechanics. Informatics], 2024, no 2 (51), pp. 27−43. (In Russ.) https://doi.org/10.34130/1992-2752_2024_2_27

IV. One example of studying abstract algebra methods in mathematic degree programs

https://doi.org/10.34130/1992-2752_2024_2_44

Olga A. Sotnikova – Pitirim Sorokin Syktyvkar State University, sotnikovaoa@syktsu.ru

Vasilij V. Chermnykh – Pitirim Sorokin Syktyvkar State University

Text

Abstract. The article addresses some techniques which are instrumental for outlining abstract algebra methods when exploring some subject matters within the algebra course. As exemplified
in such chapters as Substitution, Complex Numbers, Matrices and Polynomials, the phenomena considered in these theories are shown to detect connections which offer the possibility to characterize the objectivity of the elements of the sets under consideration, the procedural nature of the interpretation of algebraic operations, and also the formalized nature of the properties of algebraic operations. According to the authors, the conditions mentioned can be used to illustrate the methods of abstract algebra.

Keywords: algebra course, math teacher training, abstract algebra, conceptual connections, formalization.

References

Yashina E. Yu. Dokazatel’stvo teoremy Frobeniusa kak zavershenie kursa algebry i chislovyk sistem v pedagogicheskom universitete. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Computer science]. 2023. No 2 (47). Pp. 69–82. (In Russ.)
Fried E. Elementarnoe vvedenie v abstraktnuyu algebru [An Elementary Introduction to Abstract Algebra]. Perevod s vengerskogo Yu. A. Danilova. Moscow: Mir, 1979. 260 p. (In Russ.)
Sotnikova O. A., Chermnykh V. V. On attracting students to study abstract algebra (using the example of one problem in group theory and its applications). Psihologiya obrazovaniya v polikul’turnom prostranstve [Psychology of education in a multicultural space]. 2024. No 2 (66). Pp. 138–147. (In Russ.)
Sotnikova O. A. Tselostnost’ vuzovskogo kursa algebry kak metodologicheskaya osnova ego ponimaniya : monografiya [The integrity of a university algebra course as a methodological basis for its understanding : monograph]. Arhangel’sk: Pomorskiy universitet,356 p. (In Russ.)

For citation: Sotnikova O. A., Chermnykh V. V. One example of studying abstract algebra methods in mathematic degree programs. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika.
Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 2 (51), pp. 44−56. (In Russ.) https://doi.org/10.34130/1992-2752_2024_2_44

V. About the works of three mathematicians graduates of Kazan and St. Petersburg universities who died in the Great Patriotic War

https://doi.org/10.34130/1992-2752_2024_2_57

Vladimir P. Odyniec – W.P.Odyniec@mail.ru

Text

Abstract. The article describes the works of two deceased graduates of Kazan University Marachkov (Morochkov) Vasyly Petrovich (1914–1942), Shishkanov Vasily Stepanovich (1914–1941) as well as graduate of the Imperial St. Petersburg University Zinserling Dmitry Petrovich (1864–1941) who died of starvation in besieged Leningrad.

Keywords: almost periodic function, characteristic number, stability of integrals, stability of the system of differential equations, prismatic rod bending, solving of plane problem of elasticity theory, elementary algebra, geometry of the ancient Egyptians, arithmetic of the ancient Egyptians.

References

Marachkov V. P. Stability of integrals of a system of differential equations with almost periodic coefficients. Izv. Phiz.-mat. o-va [Izv. Phys.-math. society]. Kazan, 1945. (3), 13. Pp. 3–50. (In Russ.)
Kniga pamyati Kazanskogo universiteta [Kazan University Memorial Book]. Kazan: Kazan University Publishing House, 2010. 124 p. (In Russ.)
Shishkanov V. S. Bending a Prizmatic Rod in Pairs. Uchenye zap. universiteta [University Sci. Notes]. Kazan, 1949. 109:3. Pp. 39–61. (In Russ.)
Zvolinsky N. V., Riz P. M. On Some Problems of the Nonlinear Theory of Elastcity. Prikl. mat. mechan. [Appl. Math. Mech.]. 1939. Vol. II. Issue 4. Pp. 417–428. (In Russ.)
Matematika v SSSR za sorok let 1917–1957. T. 2. Biobibliografiya [Mathematics in the USSR for forty years 1917–1957. Vol. 2. Biobibliography]. Moscow: Phizmatlit, 1959. 819 p. (In Russ.)
Zinserling V. A. Zinzerlings [Zinserlings]. Moscow: Prakticheskaya medicina, 2023. 120 p. (In Russ.)
Zinserling D. P. Prakticheskoye rukovodstvo statistiki [A Practical Guide to Statistics]. Leningrad: Gosizdat, 1924 (cover 1925). 167 p. (In Russ.)
Vulf N., Zinserling D. Elementarnaya algebra [Elementary Algebra]. St. Petersburg: Tip. A. S. Suvorina, 1912. 344 P. (Reprints in 1916 and 1923). (In Russ.)
Zinserling D. P. Geometry in the Ancient Egyptians. Izvestiya Rossiiskoi academii nauk. VI ser. [News of the Russian Academy of Sciences. VI series]. Leningrad: Izd-vo AN, 1925. Vol. 19. Issue 12. Pp. 541–568. (In Russ.)
Nauchnyye rabotniki Leningrada [Scientists of Leningrad]. Leningrad: Izd-vo AN USSR, 1934. 721 p. (In Russ.)
Zinserling D. P. Mathematics in the Ancient Egyptians. Matematika v shkole [Mathematics at school]. 1939. No 2. Pp. 5–20. (In Russ.)
Zinserling D. P. Mathematics in the Ancient Egyptians. Matematika v shkole [Mathematics at school]. 1939. No 3. Pp. 3–15. (In Russ.)
Kniga pamyati. Leningrad 1941–1945 [Memorial Book. Leningrad 1941–1945]. St. Petersburg: Pravitelstvo St. Peterburga, 2006. Bd.33. 712 p. (In Russ.)

For citation: Odyniec V. P. About the works of three mathematicians graduates of Kazan and St. Petersburg universities who died in the Great Patriotic War. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 2 (51), pp. 57−72. (In Russ.) https://doi.org/10.34130/1992-2752_2024_2_57

VI. Metaheuristic algorithms for the traveling salesman problem. Python library Scikit-opt

https://doi.org/10.34130/1992-2752_2024_2_73

Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University

Mikhail M. Glukhoy – Pitirim Sorokin Syktyvkar State University

Evgenija N. Startseva – Pitirim Sorokin Syktyvkar State University

Nikita A. Chernyan – Pitirim Sorokin Syktyvkar State University

Text

Abstract. The article discusses metaheuristic methods for solving the traveling salesman problem. The results of testing the ant colony algorithm and the genetic algorithm of the Python Scikit-opt library on two data sets (benchmarks) of the popular and widely used TSPLIB library are presented. Testing showed the possibility of using the library in practice and in the educational process: solutions close to optimal were obtained in an acceptable time.

Keywords: Python, Scikit-opt, TSPLIB, genetic algorithm, ant colony algorithm.

References

Zaporozhets D. Yu. Combined algorithm for solving transcomputational problems. Informatika, vychislitel’naya tekhnika i inzhenernoye obrazovaniye [Informatics, computing and engineering
education]. 2018. No 1 (32). Pp. 10–20. (In Russ.)
Kobak V. G., Porksheyan V. M., Zhukovsky A. G., Peshkevich A. A. Solving the traveling salesman problem with a hybrid genetic model using the path approach. Izvestiya vuzov. SeveroKavkazskiy region. Seriya: Tekhnicheskiye nauki [News of universities. North Caucasus region. Series: Technical Sciences]. 2017. No 2 (194). Pp. 5–9. DOI: 10.17213/0321-2653-2017-2-5-9. (In Russ.)
Shcherbina O. A. Metaheuristic algorithms for combinatorial optimization problems (review). TVIM [TWIM]. 2014. No 1 (24). Pp. 56–72. (In Russ.)
Yashin S. N., Yashina N. I., Koshelev E. V., Ivanov A. A. Metaevristicheskiye algoritmy v upravlenii innovatsiyami : monografiya [Metaheuristic algorithms in innovation management :
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For citation: Babikova N. N., Glukhoy M. M., Startseva E. N., Chernyan N. A. Metaheuristic algorithms for the traveling salesman problem. Python library Scikit-opt. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 2 (51), pp. 73−88. (In Russ.) https://doi.org/10.34130/1992-2752_2024_2_73

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Bulletin 1 (50) 2024

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I. Development of a web service for automating the process of professional development for employees of government organizations based on the generation of individual educational routes

https://doi.org/10.34130/1992-2752_2024_1_4

Yuriy V. Golchevskiy – Pitirim Sorokin Syktyvkar State University, yurygol@mail.ru

Artem S. Garmatko – LLC “Philosophy IT”, garmatko.art@mail.ru

Text

Abstract. Thе paper presents a study of the problem of creating a web service for automating control over the professional development of employees process using the example of a state agencies working in the field of art and culture. An approach has been used that implies
individual training routes generation containing sets of courses, as a result of which the employee will receive all the necessary competencies. At the same time, the process becomes completely
controlled by the employer, who also has the opportunity to form and/or confirm an individual employee training route and track the progress.

Keywords: professional development, individual educational route, automation, web resource.

References

Golchevskiy Yu., Novokshonova E., Yermolenko A. Digital economy competencies as a vital necessity of a modern successful specialist. Advances in Economics, Business and Management Research.Vol. 156. Pp. 291–296. DOI: 10.2991/aebmr.k.201205.048.
Galkin O. A. Professional development in the system of lifelong professional education in the sphere of culture: the role and issues of content. Problemy i perspektivy razvitiya vysshego obrazovaniya v sfere kul’tury i iskusstv [Problems and prospects for the development
of higher education in the field of culture and the arts]. Proc. of the scientific and methodological conference of the educational institution teaching staff. Minsk: The Belarusian State University of Culture and Arts, 2023. Pp. 103–111. EDN: PCPNDH. (In Russ.)
Babikova N. N. Education in the digital age: remember or google. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. 2022. No 3 (44). Pp. 33–46. DOI:
10.34130/1992-2752_2022_3_33. (In Russ.)
Normansky N. S. Gamification as a Mechanism of Digital Transformation of Personnel Training in the Field of Culture and Art. Kul’turnaya zhizn’ Yuga Rossii [Cultural Studies of Russian South].No 1 (84). Pp. 101–110. DOI: 10.24412/2070-075X-2022-1-101-(In Russ.)
Karavaev N. L., Soboleva E. V. Analysis of software services and platforms that have the potential for educational process gamification.Nauchno-metodicheskiy elektronnyy zhurnal «Kontsept» [Scientific and methodological electronic journal “Concept”]. 2017. No 8. Pp. 14–25.
EDN: ZEGUJZ.(In Russ.)
Golchevskiy Yu. V., Babenko V. V. Problems of gaming technologies introducing into business processes and interfaces of business-oriented software systems. Informatsionnyye tekhnologii v
modelirovanii i upravlenii: podkhody, metody, resheniya: sbornik nauchnykh statey I Vserossiyskoy nauchnoy konferentsii. 12–14 dekabrya 2017 g.: v 2 ch. [Information technologies in modeling and management: approaches, methods, solutions: collection of scientific articles of the I All-Russian Scientific Conference. December 12–14,
2017: at 2 a.m.]. Tolyatti: TSU, 2017. Part 2. Pp. 318–324. EDN: YWGOJL. (In Russ.)
Zeybek N., Saygı E. Gamification in Education: Why, Where, When, and How? – A Systematic Review. Games and Culture. 2024. Vol. 19. Issue 2. Pp. 237–264. DOI: 10.1177/15554120231158625.
Oliveira W., Hamari J., Shi L. et al. Tailored gamification in education: A literature review and future agenda. Education and Information Technologies. 2023. Vol. 28. Pp. 373–406. DOI:
10.1007/s10639-022-11122-4.
Tatarova S. P., Zateeva N. A. Experience of organizing professional upgrading courses of cultural workers as the implementation of informal education principles. Vestnik Vostochno-Sibirskogo gosudarstvennogo instituta kul’tury [Bulletin of the East Siberian State Institute of
Culture]. 2019. No 3 (11). Pp. 127–133. DOI: 10.31443/2541-8874-2019- 3-11-127-133. (In Russ.)
Dorofeeva E. V. Professional retraining for the cultural sphere of the region: problems and prospects. Obrazovaniye i obshchestvo [Education and Society]. 2019. No 3 (116). Pp. 72–80. EDN: VDEPEQ. (In Russ.)
Novikova T. B. Modeling RUP: Collaboration, class, activity, sequence, use case diagrams. Mezhdunarodnyy zhurnal eksperimental’nogo obrazovaniya [International Journal of
Experimental Education]. 2017. No 1. Pp. 74–78. EDN: XVGSSD. (InRuss.)
Kochnev A. A. Web Development with PHP and Laravel framework. Vostochno-Yevropeyskiy nauchnyy zhurnal [East European Scientific Journal]. 2023. No 1 (86). Pp. 4–11. EDN: XNGITS. (In Russ.)
Chavan P. R., Pawar S. Comparison Study Between Performance of Laravel and Other PHP Frameworks. International Journal of Research in Engineering, Science and Management. 2021. Vol. 4. Issue 10. Pp. 27–29.
Taipalus T. Database management system performance comparisons: A systematic literature review. Journal of Systems and Software. 2024. Vol. 208. 111872. DOI: 10.1016/j.jss.2023.111872.

II. What is a semiring

https://doi.org/10.34130/1992-2752_2024_1_21

Evgeny M. Vechtomov – Vyatka State University, vecht@mail.ru

Text

Abstract. The article discusses the beginnings of the theory of semirings. The author analyzes the definition (axiomatics) of a semiring and introduces the initial concepts of the theory of
semirings. The work provides basic examples, indicates the most important classes of semirings, and also formulates the first structure theorems about semirings. The presented material is educational and mathematical in nature, includes comments, explanations and 25 exercises.

Keywords: algebraic structure, semiring, study of the theory of semirings

References

Vechtomov E. M. Vvedeniye v polukol’tsa [Introduction to Semirings]. Kirov: Izd-vo vyatsk. gos. ped. un-ta, 2000. 44 p. (In Russ.)
Vechtomov E. M. Student educational and research seminar on algebra. Matematicheskiy vestnik Vyatskogo gosudarstvennogo universiteta [Mathematical Bulletin of Vyatka State University]. 2021. No 3. Pp. 36–45. (In Russ.)
Vechtomov E. M. Studying the basics of the theory of semirings. Prime Ideals. Matematicheskiy vestnik Vyatskogo gosudarstvennogo universiteta [Mathematical Bulletin of Vyatka State University]. 2021. No 4. Pp. 4–14. (In Russ.)
Vechtomov E. M. Matematika: osnovnyye matematicheskiye struktury: uchebnoye posobiye. 2-e izd. [Mathematics: basic mathematical structures: study guide. 2nd ed.]. Moscow: Urait.296 p. (In Russ.)
Vechtomov E. M., Sidorov V. V. Abstraktnaya algebra. Bazovyy kurs : uchebnoye posobiye [Abstract algebra. Basic course : study guide]. Kirov: OOO «Izdatelstvo “Raduga-PRESS”», 2014. 260 p. (In Russ.)
Sidorov V. V. Algebra: algebraicheskiye struktury. kompleksnyye chisla. mnogochleny : uchebnoye posobiye [Algebra: algebraic structures, complex numbers, polynomials : study guide]. Kirov: OOO «Izdatelstvo “Raduga-PRESS”», 2013. 232 p. (In Russ.)
Vechtomov E. M., Lubyagina E. N., Sidorov V. V., Chuprakov D. V. Elementy funktsionalnoy algebry: monografiya: v 2 t. [Elements of functional algebra: monograph: in 2 vol.]. Kirov: OOO
«Izdatelstvo “Raduga-PRESS”», 2016. Vol. 1. 384 p. (In Russ.)
Vechtomov E. M., Lubyagina E. N., Chermnykh V. V. Elementy teorii polukolets: monografiya [Elements of the theory of semirings: monograph]. Kirov: OOO «Izdatelstvo “Raduga-PRESS”», 2012. 228 p.(In Russ.)
Vechtomov E. M., Petrov A. A. Funktsionalnaya algebra i polukoltsa. Polukoltsa s idempotentnym umnozheniyem : uchebnoye posobiye [Functional algebra and semirings. Semirings with idempotent multiplication : study guide]. Sankt-Peterburg: Lan’, 2022. 180 p.
(In Russ.)
Vechtomov E. M., Cheraneva A. V. Semifields and their properties. Fundamentalnaya i prikladnaya matematika [Fundamental and applied mathematics]. 2008. Vol. 14. No 5. Pp. 3–54. (In Russ.)
Vechtomov E. M., Chermnykh V. V. Main directions of development of the theory of semirings. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin
of Syktyvkar University. Series 1: Mathematics. Mechanics. Computer science]. 2021. No 4. Pp. 4–40. (In Russ.)
Chermnykh V. V. Functional representations of semirings. Fundamentalnaya i prikladnaya matematika [Fundamental and applied mathematics]. 2012. Vol. 17. No 3. Pp. 111–227. (In Russ.)
Golan J. S. Semirings and their applications. Dordrecht: Kluwer Academic Publishers, 1999. 382 p.
Vechtomov E. M. We are introduced to abstract algebra: semigroups. Nauchno-metodicheskiy elektronniy zhurnal «Kontsept» [Scientific and methodological electronic journal «Concept»]. 2014. No 12. Pp. 61–65.Available: https://e-koncept.ru/2014/14335.htm (accessed: 20.01.2024).
(In Russ.)
Vandiver H. S. Note on a simple type of algebra in which thecancellation law of addition does not hold. Bulletin of the American Mathematical Society. 1934. Vol. 40. No 12. Pp. 914–920.
Vechtomov E. M., Shirokov D. V. Uporyadochennyye mnozhestva i reshetki : uchebnoye posobiye [Ordered sets and lattices : study guide]. Sankt-Peterburg: Lan’, 2024. 248 p. (In Russ.)
Gr¨atzer G. Obshchaya teoriya reshetok [General Lattice Theory]. Moscow: Mir, 1982. 456 p. (In Russ.)
Mal’tsev A. I. Algebraicheskiye sistemy [Algebraic systems]. Moscow: Nauka, 1970. 392 p. (In Russ.)

For citation: Vechtomov E. M. What is a semiring. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics.
Mechanics. Informatics], 2024, no 1 (50), pp. 21−42. (In Russ.) https://doi.org/10.34130/1992-2752_2024_1_21

III. About one of the axiomatics for determining trigonometric functions when training future mathematics teachers

https://doi.org/10.34130/1992-2752_2024_1_43

Elena N. Shustova – Pitirim Sorokin Syktyvkar State University, shustovaen@yandex.ru

Text

Abstract. The article outlines the main theoretical principles of the methodology for teaching future mathematics teachers at a university the definition of trigonometric functions using one of the
axiomatics. The sequence of studying the properties of functions and axioms of the proposed system is given, as well as a brief description of the results of applying the described approach in the process of training students in pedagogical areas of university training.

Keywords: axiomatic method, trigonometric functions, university training for future mathematics teachers

References

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Popov N. I., Shustova E. N. Application of the axiomatic method for introducing the exponential function when training future mathematics teachers. Vestnik Moskovskogo gosudarstvennogo
oblastnogo universiteta. Seriya: Pedagogika [Bulletin of Moscow State Regional University. Series: Pedagogy]. 2020. No 3. Pp. 86–94. (In Russ.)
Lyubetsky V. A. Osnovnye ponyatiya shkol’noy matematiki : uchebnoye posobie dlya studentov ped. in-tov po spec. № 2104 “Matematika” [Basic concepts of school mathematics : Proc. manual for pedagogical students. Institute for specialties No 2104 “Mathematics”]. Moscow: Prosveshchenie, 1987. 400 p. (In Russ.)
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Korobeinikov A. I. Functional equations and their applications Molodye issledovateli – Respublike Komi: sbornik tezisov Pyatoy respublikanskoy nauchno-prakticheskoy konferencii. Syktyvkar: MO i VSh Respubliki Komi, SGU [Young researchers – the Komi Republic:
collection of abstracts of the Fifth Republican Scientific and Practical Conference]. Syktyvkar: Moscow Region and Higher School of the Komi Republic, SGU, 2002. Pp. 34–41 (In Russ.)
Alexyuk V. N., Shustova E. N. Elementarnye funkcii. 2 [Elementary functions. 2]. Ped. in-t. Syktyvkar, 2010. 12 p. Dep v VINITI 25.10.2010, no 610-B2010 (In Russ.)
Alexyuk V. N. Elementarnye funkcii. 1 [Elementary functions. 1]. Ped. in-t. Syktyvkar, 2010. 13 p. Dep v VINITI 11.10.2010, no 577- B2010 (In Russ.)
Shustova E. N. Methodology for presenting the course “Theory of elementary functions”. Vestnik KGPI [Bulletin of KSPI]. Syktyvkar: Komi Pedagogical Institute, 2010. Pp. 268–270. (In Russ.)
Shustova E. N. Features of using the axiomatic method of introducing elementary functions in teaching future teachers of mathematics at the university. Obrazovatel’nyj vestnik “Soznanie” [Educational Bulletin “Consciousness”]. 2022. Vol. 24. No 4. Pp. 23–30. (In Russ.)
Shustova E. N. Formation of components of methodological competence of mathematics teachers when studying the axiomatic method of introducing elementary functions at a university. Mir nauki, kul’tury, obrazovaniya [World of science, culture, education]. 2022.
No 3 (94). Pp. 78–81. (In Russ.)
Popov N. I., Shustova E. N. Elementarnye funkcii v shkol’nom kurse matemayiki : uchebnoe posobie. 2-e izd., ispr. i dop. [Elementary functions in a school mathematics course : a textbook. 2nd ed., rev. and additional]. Syktyvkar: Izd-vo SGU im. Pitirima Sorokina, 2023. 165 p.
(In Russ.)

For citation: Shustova E. N. About one of the axiomatics for determining trigonometric functions when training future mathematics teachers. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 1 (50), pp. 43−54. (In Russ.) https://doi.org/10.34130/1992-2752_2024_1_43

IV. Computer games and combinatorial problems

Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University, valmasha@mail.ru

Nadezhda O. Kotelina – Pitirim Sorokin Syktyvkar State University, valmasha@mail.ru

Marija A. Valueva – St. Petersburg State University of Culture

Nikolaj A. Startsev – St. Petersburg State Electrotechnical University “LETI” named after V. I. Ulyanov (Lenin)

Text

Abstract. The author’s problems in combinatorics, based on computer games, are offered for discussion in the article. Examples of problems for practical classes and laboratory work are presented on the following topics: sum and product rules, permutations with and without repetitions, placements with and without repetitions, combinations with and without repetitions, partitioning a number into terms and partitioning a number into terms, each of which does
not exceed given value, inclusion and exclusion formula. The problems were tested in the process of teaching the discipline “Discrete Mathematics” to students in the field of study “Applied Informatics”.

Keywords: combinatorics, combinatorial problems, computer games, training, author’s problems

References

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For citation: Babikova N. N., Kotelina N. O., Valueva M. A., Startsev N. A. Computer games and combinatorial problems. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika.
Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 1 (50), pp. 55−72. (In Russ.) https://doi.org/10.34130/1992-2752_2024_1_55

V. Educational and innovative potential of network interaction between organizations using the example of the development of research and project activities of students

https://doi.org/10.34130/1992-2752_2024_1_73

Irina V. Kleshcheva – Herzen State Pedagogical University of Russia, iv-kl@list.ru

Abstract. The article examines the substantive, organizational, and functional problems of implementing network interaction in the field of education. The timeliness and effectiveness of network interaction as a tool for integrated and effective solution of various problems in education is argued. The pedagogical feasibility of using network interaction to improve the quality of mathematics education has been scientifically substantiated and experimentally confirmed.
The methodological basis of network educational interaction is motivated by a systematic approach that determines the design and functioning of the educational network at the conceptual, structural
and elemental levels. The system-forming factor in this case is most often common goals, for the sake of which pedagogical efforts are consolidated.

Keywords: networking, systems approach, research activities, project activities, quality of mathematical education

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organization and implementation of educational activities in the network form of implementation of educational programs: Order of the Ministry of Science and Higher Education of the Russian
Federation and the Ministry of Education of the Russian Federation of August 5, 2020 No 882/391] [Electronic resource]. Available at: https://base.garant.ru/74626602/ (accessed: 15.02.2024). (In Russ.)
Azbuka proyektov [ABC of projects] [Electronic resource]. Available at: http://azbukaproektov.ru (accessed: 15.02.2024). (In Russ.)
Kleshcheva I. V., Miklyaeva I. V., Ovchinnikov T. A. ABC of projects. Peterburgskaya shkola: innovatsii [Petersburg school: innovations]. St. Petersburg: NKT, 2019. Рp. 48–55. (In Russ.)
Vysshaya liga obrazovaniya “Sammit” [Major League of Education “Summit”] [Electronic resource]. Available at: https://sammitportal.ru/teachers/project/link.php?ELEMENT_ID=
3156 (accessed: 14.03.2024). (In Russ.)
Budni uchitelya nachal’nykh klassov [Everyday life of a primary school teacher] [Electronic resource]. Available at: http://lapbook.sch66.minsk.edu.by/ru/main.aspx?guid=23631
(accessed: 14.03.2024). (In Russ.)

For citation: Kleshcheva I. V. Educational and innovative potential of network interaction between organizations using the example of the development of research and project activities of
students. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2024, no 1 (50), pp. 73−93. (In Russ.) https://doi.org/10.34130/1992-2752_2024_1_73

Bulletin 4 (49) 2023

Full text

I. Some features of production angles of particles born in decay reactions in relativistic and nonrelativistic cases

https://doi.org/10.34130/1992-2752_2023_4_4

Pavel A. Makarov – Institute of Physics and Mathematics, Federal Research Centre Komi Science Centre, Ural Branch, RAS, makarovpa@ipm.komisc.ru

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Abstract. On the basis of kinematic approach some features of production angles of particles born in decay processes are studied. Statement and theorems describing the kinematics of decay reactions in the nonrelativistic and relativistic cases are formulated and proved. Corollaries allowing to determine the maximum of production angles of born particles are obtained and analyzed.

Keywords: decay, kinematics, conservation laws, production angles, Lorentz transformations

References

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Oganesyan Yu. Ts., Penionzhkevich Y. E., Grigoriev V. A. Fizika tyazhelykh ionov i yeye prilozheniya [Physics of heavy ions and its applications]. Dubna: JINR, 2021. 363 p. (In Russ.)
Nelipa N. F. Fizika elementarnykh chastits [Physics of elementary particles]. Moscow: Vysshaya shkola, 1977. 608 p. (In Russ.)
Particle Data Group. Review of Particle Physics. Progress of Theoretical and Experimental Physics. 2022. Vol. 2022. No 8. Art. N. 083C01.
Baldin A. M. et al Kinematika yadernykh reaktsiy [Kinematics of nuclear reactions]. 2nd ed., rev. and supplement. Moscow: Atomizdat, 456 p. (In Russ.)
ATLAS Collaboration, Aad G. et al. Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC. Phys. Lett. B. 2012. Vol. 716. Pp. 1–29.
CMS collaboration, Chatrchyan S. et al. Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC. Phys. Lett. B. 2012. Vol. 716. Pp. 30–61.
CMS collaboration, Tumasyan A. et al. Search for Higgs boson decays to a Z boson and a photon in proton-proton collisions at √ s = 13 TeV. J. High Energ. Phys. 2023. Issue 5. No 233
ATLAS Collaboration, Aad G. et al. Searches for exclusive Higgs and Z boson decays into a vector quarkonium state and a photon using 139 fb−1 of ATLAS √ s = 13 TeV proton-proton collision data. The European Physical Journal C. 2023. Vol. 83. No 9. Art. N. 781.
Landau L. D., Lifshits E. M. Teoreticheskaya fizika. T. II. Teoriya polya [Theoretical physics. V. II. Field theory]. Moscow: FIZMATLIT, 536 p. (In Russ.)
Landau L. D., Lifshits E. M. Theoretical physics. V. IV. Berestetsky V. B., Lifshits E. M., Pitaevsky L. P. Kvantovaya elektrodinamika [Quantum electrodynamics]. Moscow: FIZMATLIT,720 p. (In Russ.)
Landau L. D., Lifshits E. M. Teoreticheskaya fizika. T. I. Mekhanika [Theoretical physics. V. I. Mechanics]. Moscow: FIZMATLIT, 2007. 224 p. (In Russ.)

II. Analysis of data on forest fires in the Komi Republic using Excel and Python

https://doi.org/10.34130/1992-2752_2023_4_29

Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University

Nadezhda O. Kotelina – Pitirim Sorokin Syktyvkar State University

Fyodor N. Tentyukov – Pitirim Sorokin Syktyvkar State University

T ext

Abstract. The article presents the results of data analysis on forest fires in the Komi Republic for 2010–2023. The study was carried out using the Excel spreadsheet processor and Python libraries: Scikit-learn, Pandas, Numpy, Openpyxl, Folium.

Keywords: data analysis, Python, k-means clustering, DBSCAN clustering, forest fires

References

Kolerov D. A. Improving methods for monitoring and responding to forest fires in the Komi Republic (using the example of artificial intelligence). OBZH: Osnovy bezopasnosti zhizni [FLS. Fundamentals of Life Safety]. 2022. No 1. Pp. 56–59. (In Russ.)
Volokitina A. V., Sofronova T. M., Korec M. A. Regional Scales of Fire Danger Rating in the Forest: Improved Technique. Sibirskij lesnoj zhurnal [Siberian Journal of Forest Science]. 2017. No 2. Pp. 52–61. DOI: 10.15372/SJFS20170206. (In Russ.)
Geoinformatsionnyy portal Respubliki Komi [Geoinformation portal of the Komi Republic] [Electronic resource]. Available at: https://gis.rkomi.ru/ (accessed: 11.11.2023). (In Russ.)
Kotelina N. O., Matvijchuk B. R. Image clustering by the k-means method. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of the Syktyvkar University. Ser. 1: Math. Mechanics. Informatics]. 2019. No 3 (32). Pp. 101–112. (In Russ.)
Scikit-learn documentation [Electronic resource]. Available at: https://scikit-learn.org/stable/modules/clustering.html#hdbscan (accessed: 11.11.2023).
Anisimov O. A., Borsch S. V., Georgievsky V. Yu. et al. Metody ocenki posledstvij izmeneniya klimata dlya fizicheskih i biologicheskih sistem [Methods for assessing the effects of climate change on physical and biological systems]. Institute of Global Climate and Ecology of the
Federal Service for Hydrometeorology and Environmental Monitoring and the Russian Academy of Sciences. Moscow: Scientific Research Center of Space Hydrometeorology «Planet», 2012. 512 p. (In Russ.)

For citation: Babikova N. N., Kotelina N. O., Tentyukov F. N. Analysis of data on forest fires in the Komi Republic using Excel and Python. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 4 (49), pp. 29−46. (In Russ.) https://doi.org/10.34130/1992-2752_2023_4_29

III. Introduction to the theory of mathematical modeling when teaching students

https://doi.org/10.34130/1992-2752_2023_4_47

Andrey V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru

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Abstract. The article discusses the issues of introducing students to mathematical modeling in junior years. Ways of getting to know each other through individual training, instilling interest through historical and philosophical excursions, and familiarization with mathematical modeling in fundamental disciplines are proposed.

Keywords: numerical methods, training of scientific personnel, Lotka-Voltaire model, mathematical modeling

References

Mikhailovskii E. I. Shkola mekhaniki obolochek akademika Novozhilova [Academic Novozhilov’s school of mechanics of shells]. Syktyvkar: Publishing House of Syktyvkar University, 2005. 172 p. (In Russ.)
Mikhailovskii E.I., Yermolenko A.V., Mironov V.V., Tulubenskaya E.V. Utochnennye nelinejnye uravneniya v neklassicheskih zadachah mekhaniki obolochek : uchebnoe posobie
[Refined nonlinear equations in non-classical tasks of mechanics of shells]. Syktyvkar: Publishing House of Syktyvkar University, 2009. 141 p. (In Russ.)
Yermolenko A. V. Classical contact problems with free boundary. Problemy matematicheskogo obrazovaniya v vuzah i shkolah Rossii v usloviyah ego modernizacii: IV Vserossijskaya nauchno–metodicheskaya konferenciya : sbornik materialov [Problems of mathematical education in universities and schools of Russia in the context of its modernization:
IV All-Russian Scientific and Methodological Conference: collection of materials]. Syktyvkar: Publishing house of Syktyvkar University, 2014. Pp. 160–167. (In Russ.)
Fokin R. R., Atoyan A. A., Abissova M. A. Studying mathematics, computer science, mathematical and information modeling: ways to increase student motivation. Nauchnyj al’manah [Scientific almanac]. 2022. No 1–1 (87). Pp. 111–114. (In Russ.)
Zharkova YU. S. Teaching elements of mathematical modeling at a pedagogical university as a means of developing professional competencies. Vestnik Chelyabinskogo gosudarstvennogo
pedagogicheskogo universiteta [Bulletin of Chelyabinsk State Pedagogical University]. 2014. No 9–1. Pp. 85–93. (In Russ.)
Aslanov R. M., Sushkov V. V. Historical ways of emergence and development of complex analysis. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2022.
No 3 (44). Pp. 47–63. (In Russ.)
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Yermolenko A. V., Osipov K. S. On using Python libraries to calculate plates. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2019. 4 (33). Pp. 86–95.
(In Russ.)
Yermolenko A. V., Lotockaya S. R. Numerical solution of the problem “Predator – prey”. Aktual’nye voprosy sovremennoj nauki : Sbornik nauchnyh statej po materialam III Mezhdunarodnoj nauchnoprakticheskoj konferencii (21 noyabrya 2023 g., g. Ufa) : v 3 ch. [Current issues of modern science: Collection of scientific articles based on the materials of the III International Scientific and Practical Conference (November 21, 2023, Ufa) : in 3 parts]. Ufa: Publishing house. Scientific Research Center Bulletin of Science, 2023. Part 1. Pp. 11–16. (In Russ.)
Fokin R. R., Atoyan A. A., Abissova M. A. On motivation to study disciplines from higher education fields of mathematics, computer science, mathematical and information modeling. Sovremennye naukoemkie tekhnologii [Modern high technology]. 2017. No 2. Pp. 172– (In Russ.)
Popov N. I., Adiganova N. A. About one mathematical model of the biological problem “predator – prey”. Vestnik MGPU “Estestvennye nauki” [Bulletin of MSPU “Natural Sciences”]. 2017. No 4 (28). Pp. 119–(In Russ.)

For citation: Yermolenko A. V. Introduction to the theory of mathematical modeling when teaching students. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics],
2023, no 4 (49), pp. 47−58. (In Russ.) https://doi.org/10.34130/1992- 2752_2023_4_47

IV. Semantic aspects in the methods of math teaching

https://doi.org/10.34130/1992-2752_2023_4_59

Olga A. Sotnikova – Pitirim Sorokin Syktyvkar State University, sotnikovaoa@syktsu.ru

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Abstract. The article features the analysis of methodology of mathematics in relation to the semantics of mathematical matter. The author’s assumptions are based on the need to gain
understanding in learning mathematics. It is justified that semantic aspects of teaching math involve establishing meaningful connections within mathematical matter.

Keywords: understanding mathematics in teaching, meaningful connections, comprehension of mathematical concepts

References

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Doblaev V. P. Smyslovaya struktura uchebnogo teksta i problemy ego ponimaniya [The semantic structure of the educational text and the problems of its understanding]. Moscow: Pedagogy, 1982. 176 p. (In Russ.)
Ruzavin G. I. Understanding as a complex methodological problem. Problemy ob”yasneniya i ponimaniya v nauchnom poznanii : sb. st. [Problems of explanation and understanding in scientific cognition : digest of articles]. USSR Academy of Sciences, Institute of Philosophy;
answer ed. G. I. Ruzavin. Moscow: Institute of Philosophy, 1982. Pp. 1– (In Russ.)
Zinchenko V. P. Psihologicheskie osnovy pedagogiki [Psychological foundations of pedagogy]. Moscow: Gardariki, 2002. 431 p. (In Russ.)
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Cherch A. Vvedenie v matematicheskuyu logiku [Introduction to Mathematical Logic]. Moscow: Izdvo foreign. lit., 1960. 485 p. (In Russ.)
Mader V. V. Vvedeniye v metodologiyu matematiki [Introduction to the methodology of mathematics] [Electronic resource]. Available at: https://fileskachat.com/view/
42260_f37ce0eec2526c065cec09140f140be3.html (accessed: 03.10.2023) (In Russ.)
Shafarevich I. R. Osnovnye ponyatiya algebry [Basic concepts of algebra]. Izhevsk: Izhevsk Republican Printing House, 1999. 348 p. (In Russ.)
Vechtomov E. M. Metafizika matematiki [Metaphysics of Mathematics]. Kirov: Izd-v VyatGGU, 2006. 508 p. (In Russ.)
Vejl’ G. Matematicheskoe myshlenie [Mathematical thinking]. Moscow: Nauka, 1989. 400 p. (In Russ.)

For citation: Sotnikova O. A. Semantic aspects in the methods of math teaching. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 4 (49), pp. 59−69. (In Russ.) https://doi.org/10.34130/1992-2752_2023_4_59

V. On the works of the mathematician, defender of Moscow, Korean Shin Deng Yun (1912–1942)

https://doi.org/10.34130/1992-2752_2023_4_70

Vladimir P. Odinets – W.P.Odyniec@mail.ru

Abstract. The article discusses the works on quasi-differential equations and quasi-differential operators in the Hilbert space by Korean Shin Deng Yun (1912–1942), post-graduate student at the Faculty of Mechanics and Mathematics of Moscow State University.

Keywords: quasi-differential equations, quasi-differential operators, Hilbert space, linearly independent Solutions, defense of Moscow

References

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Shin Deng Yun. Theorems for the existence of a quasi-differential equation of the nth order. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1938. 18. No 8. Pp. 515–518. (In Russ.)
Shin Deng Yun. Solutions of a self-adjoint differential equation u[n] = lu, I(l) 6= 0, belonging to L2(0, ∞). Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1938. 18. No 8. Pp. 519–522. (In Russ.)
Odyniec V. P. О Leningradskih matematikah, pogibshih v 1941–1944 godah. II [About Leningrad mathematicians, who died in 1941–1944. II]. Syktyvkar: Izd-vo SGU named after Pitirim Sorokin, 2021. 108 p.
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Bulletin 3 (48) 2023

Full text

I. On the structure of the ideals of the semiring of natural numbers

https://doi.org/10.34130/1992-2752_2023_3_4

Daniil E. Menyaev – Pitirim Sorokin Syktyvkar State University, dahnny@yandex.ru

Vasily V. Chermnykh – Pitirim Sorokin Syktyvkar State University, vv146@mail.ru

T ex t

Abstract. The article investigates the ideals of the semiring of natural numbers. A criterion is obtained for a natural number to belong to an ideal in terms of integer solutions of a certain system of linear inequalities. Applications of this criterion are demonstrated.

Keywords: semiring, ideal, Frobenius constant, Sylvester’s theorem.

References

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Hofmeister G.R. Zu einem Problem von Frobenius. Norske Videnskabers Selskabs Skrifter. 1966. Vol. 5. Pp. 1–37.
Selmer E. S. On the linear diophantine problem of Frobenius. Journal F¨ur Die Reine Und Angewandte Mathematik (Crelles Journal). 1977. Vol. 293–294. Pp. 1–17. doi:10.1515/crll.1977.293-294.1.
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Golan J. S. Semirings and their applications. Dordrecht: Kluwer Acad. Publ., 1999. 365 p.
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Chermnykh V. V., Nikolaeva O. V. On ideals of semirings of natural numbers. Matematicheskiy vestnik pedvuzov i unirsitetov Volgo-Vyatskogo regiona [Mathematical Bulletin of Pedagogical
Universities and Universities of the Volga-Vyatka Region]. 2009. Vol. 11. Pp. 118–121. (In Russ.)

For citation: Menyaev D. E., Chermnykh V. V. On the structure of the ideals of the semiring of natural numbers. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics],
2023, no 3 (48), pp. 4−17. (In Russ.) https://doi.org/10.34130/1992-2752_2023_3_4

II.Balance Sheet Channel of Monetary Policy: Review of Empirical Methods\

https://doi.org/10.34130/1992-2752_2023_3_18

Olga A. Maltseva – Bank of Russia, maltseva.rs@yandex.ru

Irina V. Polyakova – 1Bank of Russia

Evgenija N. Startseva – Pitirim Sorokin Syktyvkar State University

Te xt

Abstract. Research on the balance sheet channel of monetary policy is extensive, especially for developed country economies. The question of the specifics of the operation of the balance sheet (broad credit) channel in Russia remains open.

Keywords: monetary policy, balance sheet channel, vector autoregression, panel data, generalized method of moments, local projections approach.

References

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fluctuations]. Moscow: Publishing house “Delo” RANEPA, 2019. 528 p. (Academic textbook). (In Russ.)
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1128 p. (Academic textbook). (In Russ.)
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Valderrama M. Credit Channel and Investment Behavior in Austria: A Micro-Econometric Approach. European Central Bank. Working Paper. 2001. No 108. 45 p. Available at:
https://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp108.pdf (accessed: 01.09.2023).
Love I., Zicchino L. Financial development and dynamic investment behavior: Evidence from panel VAR. The Quartely Review of Economics and Finance. 2006. Vol. 46. Issue 2. Pp. 190–210.
Sigmund M., Ferstl R. Panel vector autoregression in R with the package panelvar. The Quartely Review of Economics and Finance.Elsevier. Vol. 80 (C). 2021. Pp. 693–720.
Anderson T. W., Hsiao C. Formulation and Estimation of Dynamic Models Using Panel Data. Journal of Econometrics. 1982. 18. Issue 1. Pp. 47–82.
Arellano M., Bond S. Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations. The Review of Economic Studies. 1991. Vol. 58. Issue 2. Pp. 277–297.
Blundell R., Bond S. Initial Conditions and Moment Restrictions in Dynamic Panel Data Models. Journal of Econometrics. 1998. Vol. 87 (1). Pp. 115–143.

For citation: Maltseva O. A., Polyakova I. V., Startseva E. N. Balance Sheet Channel of Monetary Policy: Review of Empirical Methods. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 3 (48), pp. 18−48. (In Russ.) https://doi.org/10.34130/1992-2752_2023_3_18

III.Table generating language enhancement

https://doi.org/10.34130/1992-2752_2023_3_49

Evgeniy A. Belykh – Pitirim Sorokin Syktyvkar State University, hunter_x5_95@mail.ru

Yuriy V. Golchevskiy – Pitirim Sorokin Syktyvkar State University, yurygol@mail.ru

Te xt

Abstract. This paper is about designing a specialized C-like language, made to generate complex tables based on large number of various data sources.

Keywords: electronic documents, document generating, programming languages, electronic tables.

References

Fong J., Shiu H. and Cheung D. A relational-XML data warehouse for data aggregation with SQL and XQuery. Software-Practice & Experience. 38 (11). Pp. 1183–1213. DOI: 10.1002/spe.868.
Badam S. K., Liu Z. and Elmqvist N. Elastic Documents: Coupling Text and Tables through Contextual Visualizations for Enhanced Document Reading. IEEE Transactions on Visualization and Computer Graphics. 2019. Vol. 25. No 1. Pp. 661–671, Jan. 2019, DOI: 10.1109/TVCG.2018.2865119.
Okada M., Takaba M., Kaihara S., Okada M. Formal Representation of Summary Tables for Health Care Statistical Database Management. Computers and Biomedical Research. 1998. Vol. 31. No 6. Pp. 426–450. DOI: 10.1006/cbmr.1998.1491.
Amano A., Asada N. Graph grammar based analysis system of complex table form document. Proceedings of the 7th International Conference on Document Analysis and Recognition (ICDAR 2003). Edinburgh, Scotland, 2003. Pp. 916–920.
Belykh E. A., Golchevskiy Yu. V. An approach to designing a substitution language for generating electronic documents containing complex tables. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki [Bulletin of Udmurt University. Mathematics. Mechanics. Computer science]. 2019. Vol. 29. Issue 3. Pp. 422–437. (In Russ.)
Brian W. Kernighan, Dennis M. Ritchie. The C Programming Language. 2nd edition. Englewood Cliffs, New Jersey: Prentice Hall,272 p.
Mehdi Achour, Friedhelm Betz, Antony Dovgal, Nuno Lopes, Hannes Magnusson, Georg Richter, Damien Seguy, Jakub Vrana And several others, Peter Cowburn (eds), 2021 PHP: PHP Manual. Available at: https://www.php.net/manual/en/index.php (accessed: 01.06.2023).
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For citation: Belykh E. A., Golchevskiy Yu. V. Table generating language enhancement. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 3 (48), pp. 49−71. (In Russ.) https://doi.org/10.34130/1992-2752_2023_3_49

IV. Development and organization of business processes for preparing frequency dictionaries in order to automate natural language processing when performing tasks of linguistic text analysis

https://doi.org/10.34130/1992-2752_2023_3_72

Mikhail S. Krasheninnikov – SAI of the Komi Republic «Information Technology Center», Pitirim Sorokin Syktyvkar State University, kib@syktsu.ru

Ivan I. Lavresh – Pitirim Sorokin Syktyvkar State University, kib@syktsu.ru

Vladimir A. Ustyugov – Pitirim Sorokin Syktyvkar State University, kib@syktsu.ru

Te x t

Abstract. This article discusses the processes of processing text data within the framework of information and analytical support for the activities of authorities of the Komi Republic. The interaction of state information systems and authorities of the Komi Republic and their various divisions is shown.

Keywords: natural language processing, frequency analysis of text, linguistic analysis of text, frequency dictionaries, information and analytical support.

References

Shirshov E. V. Informatsionno-analiticheskoye obespecheniye menedzhmenta : uchebnoye posobiye po napravleniyu podgotovki bakalavrov 38.03.02. «Menedzhment» [Information and analytical support for management : Textbook for bachelor’s training 03.38.02. “Management”]. Moscow: Publishing House “Academy of Natural Sciences”, 2022. 156 p. (In Russ.)
Gaverdovsky V. S. Practical evolution of information and analytical systems for regional management created at the State Autonomous Institution of the Republic of Kazakhstan “Information Technology Center”in 2009–2016. IT Arktika [IT Arctic]. 2017. No 1. Pp. 12–27. (In Russ.)
Luchshiye praktiki regional’noy informatizatsii «PROF-IT.2014» : cbornik [Best practices of regional informatization “PROF- IT.2014”: Collection] [Electronic resource]. Available at: https://d-russia.ru/wpcontent/uploads/2015/03/prof-it-2014.pdf (accessed: 01.15.2023) (In Russ.)
Epifantsev B. N. Information and analytical security systems: possibilities of using resources of other specialties to form a laboratory base. Informatsionnoye protivodeystviye ugrozam
terrorizma [Information counteraction to the threats of terrorism].Vol. 1. No 25. Pp. 159–166. (In Russ.)
Mukhametov M. R. Frequency analysis of text in Python. Mavlyutovskiye chteniya: Materialy XVI Vserossiyskoy molodezhnoy nauchnoy konferentsii : v 6 t. Ufa, 25–27 oktyabrya 2022 goda
[Mavlyutov readings: Materials of the XVI All-Russian Youth Scientific Conference. In 6 volumes, Ufa, October 25–27]. Ufa: Ufa State Aviation Technical University, 2022. Vol. 5. Pp. 1054–1056. (In Russ.)
Preobrazhensky A. P., Choporova E. I., Menyailov D. V. Thematic analysis of text information based on frequency characteristics. Tsifrovaya obrabotka signalov i yeyo primeneniye
(DSPA-2022): 24-ya Mezhdunarodnaya konferentsiya, Moskva, 30 marta – 01 aprelya 2022 goda [Digital signal processing and its application (DSPA-2022): 24th International conference, Moscow, March 30 – April 1, 2022]. Moscow: Russian Scientific and Technical Society of Radio Engineering, Electronics and Communications named after A. S. Popova, 2022. Issue XXIV. Pp. 136–140. (In Russ.)

V. Instructional features of the elementary algebra and pre-calculus: practical course teaching guide

https://doi.org/10.34130/1992-2752_2023_3_90

Olga A. Sotnikova – Pitirim Sorokin Syktyvkar State University, sotnikovaoa@syktsu.ru

Vyacheslav A. Popov

Te x t

Abstract. The article explores instructional aspects of the contents of the teaching guide prepared for publication. The teaching methods applied are based on the focus on obtaining math learning experience.

Keywords: math learning activity, studying the elementary algebra and pre-calculus.

For citation: Sotnikova O. A., Popov V. A. Instructional features of the elementary algebra and pre-calculus: practical course teaching guide. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 3 (48), pp. 90−95. (In Russ.) https://doi.org/10.34130/1992-2752_2023_3_90

Bulletin 2 (47) 2023

Full text

I. Andrey V. Yermolenko, Oksana I. Turkova Determination of stresses on the front surfaces of the plate

https://doi.org/10.34130/1992-2752_2023_2_4

Andrey V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru

Oksana I. Turkova – Pitirim Sorokin Syktyvkar State University

Text

Abstract. When solving contact problems, it is necessary to set the interaction conditions using the displacements of the front surfaces of the plate.

Keywords: plate theory, reference surface, stresses.

References

Mikhailovskii E. I., Toropov A. V. Matematicheskiye modeli teorii uprugosti [Mathematical models of theory of elasticity]. Syktyvkar: Syktyvkarskij un-t [Syktyvkar: Syktyvkar State University], 1995. 251 p. (In Russ.)
Mikhailovskii E. I. Shkola mekhaniki obolochek akademika Novozhilova [Academic Novozhilov’s school of mechanics of shells]. Syktyvkar: Izd-vo Syktyvkarskogo un-ta [Syktyvkar: Publishing House of Syktyvkar University], 2005. 172 p. (In Russ.)
Mikhailovskii E. I.,Badokin K. V., Ermolenko A. V. Karman type theory of flexure of plates without Kirhgof’s hypotheses. Vestnik Syktyvkarskogo universiteta. Seriya 1 [Bulletin of Syktyvkar University. Series 1], 1999, issue 3, pp. 181–202. (In Russ.)
Timoshenko S. P. Kurs teorii uprugosti, ch. II. Sterzhni I plastinki [Course of theory of elasticity, part II. Shafts and plates]. Petrograd: Izd-vo in-ta inzh. putej soobscheniya, 1916. Izd. 2-e. Kiev: Naukova dumka [Petrograd: Publishing House of institute of Railway Engineers,
Vol. 2. Kiev: Publishing House of Naukova Dumka], 1972. 507 p. (In Russ.)
Naghdi P. M. On the theory of thin elastic shells. Quarterly of Applied Mathematics. 1957, 14, no 4, pp. 369–380.
Chernyh K. F. Nelinejnaya teoriya uprugosti v mashinostroitel’nyh raschetah. [Nonlinear theory of elasticity in mechanical engineering calculations] L.: Mashinostroenie [Leningrad: Mechanical engineering], 336 p. (In Russ.)
Yermolenko A. V., Mironov V. V. Mechanism of the effect of transverse shifts on the stress state in the problems of plate and shell mechanics. International Journal of Recent Technology and Engineering (IJRTE). 2019, vol. 7, issue 5, January, pp. 318–321.
Mikhailovskii E. I., Ermolenko A. V., Mironov V. V., Tulubenskaya E. V. Utochnennye nelinejnye uravneniya v neklassicheskih zadachah mekhaniki obolochek : uchebnoe posobie [Refined nonlinear equations in non classical tasks of mechanics of shells]. Syktyvkar: Izd-vo Syktyvkarskogo un-ta [Syktyvkar: Publishing House of Syktyvkar University], 2009. 141 p. (In Russ.)
Kulikov G. M., Plotnikova S. V. Solvation of three dimensional tasks for thick elastic shells based on method of base surfaces. Mekhanika tverdogo tela [Mechanics of solid body], 2014, no 4,
pp. 54–64. (In Russ.)
Hallquist J. O., Benson D. J. A comparison of an implicit and explicit implementation of the Hughes-Liu shell. Finite Element Metdods for Plate and Shell Structures / eds T. J. R. Hughes, E. Hinton. Swansea: Pineridge Press, 1986. Vol. 1. Pp. 394–431.
Korobejnikov S. N., Shutov A. V. The choice of basic surface in equations of plates and shells. Vychislitel’nye tekhnologii [Computing technologies], 2003, vol. 8, pp. 38–59. (In Russ.)
Schoop H. Oberfl¨achenorientierte Schalentheorien endlicher Verschiebungen. Ing.-Archiv. 1986. B. 56, no 6, s. 427–437.
Nikabadze M. U. Parameterization of shells based on two basic surfaces. Dep. V VINITI AN SSSR [Department of All-Union Institute for Scientific and Technical Information of USSR Academy of Sciences], 12.07.1988. № 5588–V88. 29 p. (In Russ.)
Kim Y. H., Lee S.W. A solid element formulation for large deflection analysis of composite shell structures. Comp. Struct, 1988, vol. 30. no 1–2, pp. 269–274.
Kulikov G. M., Plotnikova S. V. Comparative analysis of two algorithms of numerical solution of nonlinear tasks of static of multilayer anisotropic shells of rotation. 2. Accounting of transverse compression. Mekh. kompozit. materialov [Mechanics of composite materials], 1999,
vol. 35, no 4, pp. 435–446. (In Russ.)
Nikabadze M. U. Some geometry ratios of theory of shells with two basic surfaces. Izv. RAN. MTT [Mechanics of Solids. A Journal of Russian Academy of Sciences], 2000, no 4., pp. 129–139. (In Russ.)
Kulikov G. M., Plotnikova S. V. Finite deformation plate theory and large rigid-body motions. Int. J. Non-Linear Mech, 2004, vol. 39, no 7, pp. 1093–1109.
Ermolenko A. V. Theory of Karman-Timoshenko-Nagdi type plane plates regarding of arbitrary basic plane. V mire nauchnyh otkrytij [In the World of Scientific Discoveries]. Krasnoyarsk: Science and Innovation Center Publishing House, 2011. No 8.1 (20), pp. 336–347. (In Russ.)
Yermolenko A. V. The choice of basic surface in contact tasks with free boundary. Vestnik Syktyvkarskogo universiteta. Seriya 1 [Bulletin of Syktyvkar University. Series 1]. 2013, issue 18, pp. 42–47. (In Russ.)

For citation: Yermolenko A. V., Turkova O. I. Determination of stresses on the front surfaces of the plate. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 2 (47), pp. 4−16. https://doi.org/10.34130/1992-2752_2023_2_4

II. Vadim A. Melnikov About architectural features of collisions filtering in the physics engine for 3D games

https://doi.org/10.34130/1992-2752_2023_2_17

Vadim A. Melnikov – Pitirim Sorokin Syktyvkar State University, muller95@yandex.ru

Text

Abstract. The article discusses parallel and sequential approaches to the implementation of collision filtering based on array sorting and measures the performance of various sorts with different numbers of threads.

Keywords: physics, collisions, filtering, AABB, sorting.

References

Melnikov V. A. Development Process of game engine core for 2Dgames and interfaces Sad Lion Engine. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2019, 4 (33), pp. 21–37. (In Russ.)
Melnikov V. A., Yermolenko A. V. Development of XMLbased Markup Language. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2022, 1 (42), pp. 61–73.
Gregory J. Game engine architecture, 3rd edition. Boca Raton: CRC Press. 2019, 1200 p.
Zubek P. Elementy geymdizayna. Kak sozdavat’ igry, ot kotorykh nevozmozhno otorvat’sya [Elements of game design. How to create games from which it is impossible to break away]. M.: Bombora, 2022. 272 p. (In Russ.)
Strashnov E. V., Torgrashev M. A. Collision detection algorithms of bounding cylinders with terrain model. International Journal of Open Information Technologies. 2020, vol. 8, no 7, pp. 40–49. (In Russ.)
Ericson C. Real-time collision detection. Amsterdam, Boston, Heidelberg, London, New York, Oxford, Paris, San Diego, San Francisco, Singapore, Sydney, Tokyo: Morgan Kaufman Publishers, 593 p.
Huang X., Liu Z., Li J. Array sort: an adaptive sorting algorithm on multi-thread. The Journal of Engineering. 10.1049/joe.2018.5154. 2019, pp. 3455–3459.
Millington I. Game physics engine development. Amsterdam, Boston, Heidelberg, London, New York, Oxford, Paris, San Diego, San Francisco, Singapore, Sydney, Tokyo: Morgan Kaufman Publishers, 456 p.
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Ozeritskiy A. V. Computational simulation using particles on GPU and GLSL language. Vych. met. programmirovaniye[Numerical Methods and Programming]. 2023, issue 1 (24), pp. 37–54. (In Russ.)
Knuth D. Iskusstvo programmirovaniya. T. 3. Sortirovka i poisk. [The art of computer programming. Vol. 3. Sorting and searching]. M.: Vilyams, 2001. 824 p.

III. Vladimir P. Odinets On the works of five Moscow mathematicians who died during
the Great Patriotic War

https://doi.org/10.34130/1992-2752_2023_2_29

Vladimir P. Odinets – W.P.Odyniec@mail.ru

Text

Abstract. The article describes the works of five Moscow mathematicians: M. Bebutov, N. Vedenisov, M. Gleserman, D. Shklyarsky, D. Junovic’, who died in 1941–1942. In the description of the works the biographies of these mathematicians are also given.

Keywords: dynamical system, stability in sense of Lyapunov, Hausdorff space, first axiom of countability, second axiom of countability.

References

Bebutov M. V. On dynamical systems stable according to Lyapunov. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 18, no 3, pp. 155–158. (In Russ.)
Bebutov M. V. One theorem on simplicial complexes. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1939. 19, no 5, pp. 347–348. (In Russ.)
Bebutov M. V., Shneider V. E. About one countable topological space. Uchenye zap. uni-ta [Academic Notes of the University]. 1939. 30, pp. 157–160. (In Russ.)
Bebutov M. V. Mapping the trajectories of a dynamical system to a family of parallel lines. Moscow: Byull.uni-ta (A) [University Bulletin]. 2, no 3, pp. 3–23. (In Russ.)
Bebutov M. V., Stepanov V. V. On the change of time in dynamical systems with an invariant measure. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1939. 24, no 3, pp. 217–219. (In Russ.)
Bebutov M. V. On invariant measurement in dynamical systems that differ only by times. Matem. sb. [Mathematical collection]. 1940. 7 (49), no 1, pp. 143–166.
Bebutov M.V. On dynamical systems in the space of continuous functions. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1940. 29, no 9, pp. 904–906. (In Russ.)
Bebutov M. V. O dinamicheskikh sistemakh v prostranstve nepreryvnykh funktsiy [On dynamical systems in the space of continuous functions]. Moscow: Izd-vo MGU, 1940. 52 p. (Byulleten’ Moskovskogo gosudarstvennogo universiteta. Matematika [Bulletin of Moscow State University. Mathematics] / eds B. V. Gnedenko, A. N. Kolmogorov, V. V. Stepanov. Vol. 2, no 5). (In Russ.)
Bebutov M. V. Markov chains with compact state space. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1941. 30, no 6, pp. 180–181. (In Russ.)
Bebutov M. V. Markov chains with compact state space. Matem. sb. [Mathematical collection]. 1942. 52, no 3, pp. 213–238. (In Russ.)
Alekseev V. M., Fomin S. V. Mikhail Valeryevich Bebutov. UMN [Russian Mathematical Surveys]. 1970. 25, no 3, pp. 237–239. (In Russ.)
Tychonoff A. N., Vedenissoff N. B. Sur le d´evelopment modern de la th´eorie des espaces abstraits. Вull. sci. math. 1926. 50. Pp. 15–27.
Vedenisov N. B. About full metric spaces. J. math. pur. et appl. 9, pp. 377–392.
Vedenisov N. B. On continuous functions in topological spaces. Fund. Math., 1936. 27, pp. 234–238.
Vedenisov N. B. About one problem of Pavel Alexandrov. Ann. of Math. 1936. 37, pp. 427–428.
Vedenisov N. B. On manifolds in the sense of E.Cech. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1937. 16, no 9, pp. 443–445. (In Russ.)
Vedenisov N. B. On some topological properties of ordered sets. Uchenye zapiski gos. ped. inst-ta. Ser. fiz.-mat. [Uchen. notes of the State ped. in-ta. Ser. of phys.-math.]. 1938, 2, pp. 15–26. (In Russ.)
Vedenisov N. B. Remarks on continuous functions in topological spaces. Uchenye zapiski gos. ped. inst-ta. Ser. fiz.-mat. [Uchen. notes of the State ped. in-ta. Ser. of phys.-math.]. 1938, 2, pp. 47–52. (In Russ.)
Vedenisov N. B. Remarks on the dimensionality in topologicalspaces. Uchenye zapiski uni-ta [Academic Notes of the University].1939, 30, pp. 131–140. (In Russ.)
Vedenisov N. B. Generalization of one theorem of dimensionality theory. Uchenye zapiski gos. ped. inst-ta. Ser. fiz.-mat. [Uchen. notes of the State ped. in-ta. Ser. of phys.-math.]. 1940, 7, pp. 35–40. (In Russ.)
Vedenisov N. B. Generalization of several theorems of dimensionality. Comp. Mathem., 1940, 7, pp. 194–200.
Vedenisov N. B. On the dimensionality in the sense of E. Cech. Izv. AN USSR. Ser. matem. [Proceedings of the Academy of Sciences of the USSR. Ser. mathem.]. 1941, 5, pp. 211–216. (In Russ.)
Vedenisov N. B. Bicompact spaces. UMN [Russian Mathematical Surveys]. 1943, 3, no 4, pp. 67–79. (In Russ.)
Alexandrov P. S. Nicolay Borisovich Vedenisov. UMN [Russian Mathematical Surveys]. 1970. 25, no 3, pp. 239–241. (In Russ.)
Kazhdan Ya. M. Mark Efimovich Glezerman. UMN [Russian Mathematical Surveys]. 1970, 25, issue 3, pp. 241–243. (In Russ.)
Pontryagin L. S., Glezerman M. E. Intersections of manifolds. UMN [Russian Mathematical Surveys]. 1947, 2, issue 1, pp. 58–155. (In Russ.)
Golovina L. I. David Oskarovich Shklyarsky. UMN [Russian Mathematical Surveys], 1970, 25, issue 3, pp. 248–252. (In Russ.)
Shklyarsky D. O. Moscow Mathematical Circle. UMN [Russian Mathematical Surveys]. 1945, 1, issue 3, pp. 212–217. (In Russ.)
Cherneev S. V., Romanyuk V. Ya., Vdovin A. I. and others. Moskovskiy universitet v Velikoy Otechestvennoy voyne [Moscow University in the Great Patriotic War]. 4-e izd. Moscow: Izd-vo MGU, 632 c. (In Russ.)
Shklyarsky D. O. On the partitioning of two-dimensional sphere. Matem. sb. [Mathematical collection]. 1945, 58, no 2, pp. 126–128. (In Russ.)
Junovic’ B. M. On the differentiation of absolutely additive functions of sets. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. 1941, 30, no 1, pp. 112–114. (In Russ.)

For citation: Odinets V. P. On the works of five Moscow mathematicians who died during the Great Patriotic War. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 2 (47), pp. 29−55. https://doi.org/10.34130/1992-2752_2023_2_29

IV. Vladimir A. Ustyugov, Ivan I. Lavresh, Yuriy N. Istomin ,Pavel A. Makarov The use of SDR devices in the educational process for technical specialties of universities

https://doi.org/10.34130/1992-2752_2023_2_56

Vladimir A. Ustyugov – Pitirim Sorokin Syktyvkar State University, kib@syktsu.ru

Ivan I. Lavresh – Pitirim Sorokin Syktyvkar State University, kib@syktsu.ru

Yuriy N. Istomin – Pitirim Sorokin Syktyvkar State University, kib@syktsu.ru

Pavel A. Makarov – Federal Research Centre Komi Science Centre, Ural Branch, RAS, makarovpa@ipm.komisc.ru

Text

Abstract. The article deals with the principles of modern software defined radio (SDR). Interest in such devices is due to the low cost of certain models, as well as a wide range of tasks in the
search and digital processing of electromagnetic signals in the context of technical protection of information, the study of the spread of digital and analog signals in urban environments, construction of new digital communication systems. Specific examples of defined signals and software tools for developing radio receiver configurations are considered.

Keywords: digital signal processing, software-defined radio.

References

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Kheld G. Texnologii peredachi dannyx [Data transmission technologies]. SPb.: BHV, 2003. 720p. (In Russ.)
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V. Elena Yu. Yashina Proof of Frobenius’ Theorem as Completion of Algebra and Numerical Systems Course at Pedagogical University

https://doi.org/10.34130/1992-2752_2023_2_69

Elena Yu. Yashina – The Herzen State Pedagogical University of Russia, elyashina@mail.ru

Text

Abstract. The article presents an original proof of Frobenius’ theorem on finite-dimensional division algebras over a field of real numbers. The theorem shows the impossibility of extension of the concept of number, so its proof is useful for the formation of professional competencies of future mathematics teachers.

Keywords: number line, real numbers, finite-dimensional division algebra, Frobenius’ theorem.

References

Zhmurova I. Yu. The study of Numerical Systems in a Pedagogical University in the context implementing links. Mezhdunarodnyy nauchno-issledovatel’skiy zhurnal [International Research Journal]. 2020, no 8-3 (98), pp. 28–31. (In Russ.) https://doi.org/10.23670/IRJ.2020.98.8.073
Panteleymonova A. V., Belova M. A. Development of the concept of number in the school mathematics course. Continuum. Matematika. Informatika. Obrazovaniye [Continuum. Mathematics. Computer science. Education]. 2019, no 4 (16), pp. 31–37. (In Russ.)
Drozd Yu. A., Kirichenko V. V. Konechnomernye algebry [Finitedimensional algebras]. Kiev: Visha shkola, 1980. 192 p. (In Russ.)

For citation: Yashina E. Yu. Proof of Frobenius’ Theorem as Completion of Algebra and Numerical Systems Course at Pedagogical University. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 2 (47), pp. 69−82. https://doi.org/10.34130/1992-2752_2023_2_69

VI. Evgenija A. Kaneva About the work of the scientific and methodological seminar on the problems of education and the methodology of teaching mathematics

https://doi.org/10.34130/1992-2752_2023_2_83

Evgenija A. Kaneva – Pitirim Sorokin Syktyvkar State University, kaneva.zhenya@mail.ru

Text

Abstract. In modern society, specialists of various profiles are required, in particular, to have developed logical thinking, the ability to quickly adapt to changing socio-economic conditions and
search for non-trivial solutions in problem situations, and the ability to work in a team.

Keywords: scientific and methodological seminar, research activity, pedagogical mentoring, student science.

References

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Popov N. I., Yakovleva E. V. Methodological aspects of blended teaching of mathematics to students of medical specialties at the university. Perspektivy nauki i obrazovaniya [Prospects for science and education]. 2022, no 3 (57), pp. 232–252. (In Russ.)
Yakovleva E. V. Innovative Approaches in Teaching Mathematics to Future Doctors at a Regional University. Mir nauki, kul’tury, obrazovaniya [The world of science, culture, education]. 2022, no 5 (96), pp. 176–181. (In Russ.)
Popov N. I., Bolotin E. S. Using the Python IDLE Development and Training Environment for Students to Learn Probability. Vestnik MGPU. Seriya: Informatika i informatizaciya obrazovaniya [Bulletin MGPU. Series: Informatics and informatization of education]. 2023, no 1 (63), pp. 79–85. (In Russ.)
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the axiomatic method of introducing elementary functions at the university as a component of the system for the formation of methodological competence of future teachers of mathematics:
dissertation . . . candidate of pedagogical sciences: 13.00.02]. E. N. Shustova; [Mesto zashchity: RGPU im. A. I. Gercena]. SPb, 275 p. (In Russ.)
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Popov N. I., Kaneva E. A. Using the electronic course “School Mathematical Practicum”in the preparation of future teachers. Vestnik MGPU. Seriya: Informatika i informatizaciya obrazovaniya [Bulletin MGPU. Series: Informatics and informatization of education]. 2022, no 4 (62), pp. 109–118. (In Russ.)
Popov N. I., Kaneva E. A. Formation of cognitive interest of schoolchildren in mathematics using computer learning games. Vestnik Syktyvkarskogo universiteta. Ser. 1: Matematika. Mehanika.
Informatika [Bulletin of the Syktyvkar University. Ser. 1: Math. Mechanics. Informatics]. 2022, no 2 (43), pp. 55–66. (In Russ.)
Popov N. I., Kaneva E. A., Bolotin E. S. Study of the special abilities of university students in teaching mathematics. Mir nauki, kul’tury, obrazovaniya [The world of science, culture, education]. 2022, no 1 (92), pp. 110–113. (In Russ.)
Shustova E. N. Features of using the axiomatic method of introducing elementary functions in teaching future teachers of mathematics at the university. Obrazovatel’nyj vestnik «Soznanie»
[Educational bulletin “Consciousness”]. 2022, vol. 24, no 4, pp. 23– (In Russ.)
Popov N. I., Bobrova G. Yu. Methodological features of teaching the basics of probability theory in high school. Dvadtsat’ devyataya godichnaya sessiya Uchenogo soveta Syktyvkarskogo
gosudarstvennogo universiteta imeni Pitirima Sorokina [Elektronnyy resurs] : Fevral’skiye chteniya : Natsional’naya konferentsiya : sbornik statey / otv. red.: O. A. Sotnikova, N. N. Novikova [Twenty-ninth annual session of the Academic Council of Syktyvkar State University named Pitirim Sorokin [Electronic resource] : February readings : National conference : collection of articles / ed.: O. A. Sotnikova, N. N. Novikova]. Syktyvkar: Publishing House of the SSU Pitirim Sorokin, 2022, pp. 473–476. (In Russ.)

For citation: Kaneva E. A. About the work of the scientific and methodological seminar on the problems of education and the methodology of teaching mathematics. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 2 (47), pp. 83−92. https://doi.org/10.34130/1992-2752_2023_2_83