Bulletin 1 (50) 2024
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
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
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
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- 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.)
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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
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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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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matematika” [Mathematical analysis : in 3 volumes. T. 1: Initial course: textbook for university students studying in the specialty “Mathematics”, “Applied Mathematics”]. Pod red. A. N. Tihonova. 2-e izd., pererab. Moscow: Izd-vo MGU, 1985. 660 p. - 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.)
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- 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)
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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10.1080/10609393.2017.1408370. - Vilenkin N. Ya., Vilenkin A. N., Vilenkin P. A. Kombinatorika [Combinatorics]. Moscow: FIMA, MCzNMO, 2006. 400 p. (In Russ.)
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[Education and pedagogical science in the XXI century: current issues, achievements and innovations : collection of articles of the international scientific and practical conference : in 2 parts]. Penza, 2017. Part. 1. Pp. 93–100. (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. Computer science]. 2022. No 3 (44). Pp. 33–46. DOI
10.34130/1992-2752_2022_3_33.(In Russ.) - Patrashov A. S. Matematicheskoe rukovodstvo po sozdaniyu komp‘yuterny‘x igr: spravochnik [A mathematical guide to creating computer games: guide.] Ekaterinburg: Internet-izdatel‘stvo Ridero, 316 p. (In Russ.)
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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
References
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universities]. Moscow: Yurayt, 2021. 241 p. (In Russ.) - Obrazovatel’naya dinamika setevoy lichnosti : sbornik trudov IV nauchno-prakticheskoy konferentsii, Sankt-Peterburg, 28 yanvarya 2021 goda [Educational dynamics of network personality: collection of proceedings of the IV scientific and practical conference, St.
Petersburg, January 28, 2021]. Editors: A. A. Akhayan, E. V. Piskunova; Letters to The Emissia. Offline Letters. St. Petersburg: Publishing House of the Russian State Pedagogical University named after A. I. Herzen, 2021. Vol. 2: Methodological application. 127 p. (In
Russ.) - Shvetsov M. Yu., Aldar L. D. Network interaction of educational institutions of vocational education in the region. Uchenyye zapiski Zabaykal’skogo gosudarstvennogo universiteta. Seriya: Pedagogika i psikhologiya [Scientific notes of the Transbaikal State University. Ser.:
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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
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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
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
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
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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
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
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- 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).
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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
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
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- 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.) - Studenty SGU im. Pitirima Sorokina – stipendiaty Prezidenta i Pravitel’stva Rossii [Students of SSU named after Pitirim Sorokina – scholarship recipients of the President and Government of Russia] [Electronic resource]. Available at: https://www.syktsu.ru/news/17286/
(accessed: 21.11.2023). (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. 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
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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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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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.)
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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.)
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teor. litters, 1948. 1045 p. - Shin Deng Yun. Quasi-differential operators in Hilbert space. Doklady AN USSR [Reports of the Academy of Sciences of the USSR]. No 8. Pp. 523–526. (In Russ.)
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Bulletin 3 (48) 2023
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
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.
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- Sylvester J. J. Mathematical questions, with their Solutions. Educational Times. 1884. Vol. 41. P. 21.
- Golan J. S. Semirings and their applications. Dordrecht: Kluwer Acad. Publ., 1999. 365 p.
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- Allen P. J., Dale L. Ideal theory in the semiring Z +. Publ. Math. Debrecen. 1975. Vol. 22 (3–4). Pp. 219–224.
- 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
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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- Christopher A. Sims Macroeconomics and Reality. Econometrica.Vol. 48. No 1. Jan. Pp. 1–48. https://doi.org/10.2307/1912017.
- Gertler M., Gilchrist S. . Monetary Policy, Business Cycles and the Behaviour of Small Manufacturing Firms. Quarterly Journal of Economics. 1994. Vol. 109. Issue 2. Pp. 309–340.
- Bernanke B. S., Gertler M. Inside the Black Box: The Credit Channel of Monetary Policy Transmission. Journal of Economic Perspectives. 1995. Vol. 9. No 4. Pp. 27–48.
- Holtem¨oller O. Further VAR evidence for the effectiveness of a credit channel in Germany. SFB 373 Discussion Paper (Humboldt Univer-sity of Berlin, Interdisciplinary Research Project 373: Quantification and Simu-lation of Economic Processes). Berlin, 2002. No 2002,66. 21 p.
Available at: https://www.econstor.eu/handle/10419/65303 (accessed: 01.09.2023). - Shchepeleva M. A. Modeling the Balance Sheet Channel of Monetary Transmission in Russia. Finansovyy zhurnal [Financial Journal]. 2020. Vol. 12. No 2. Pp. 39–56. (In Russ.) DOI: 10.31107/2075-1990-2020-2- 39-56
- Pestova A. A. “Credit view” on monetary policy in Russia. Prikladnaya ekonometrika [Applied Econometrics]. 2020. Vol. 57. Pp. 72–88. (In Russ.)
- Bougheas S., Mizen P., Yalcin C. Access to external finance: Theory and evidence on the impact of monetary policy and firm-specific characteristics. Journal of Banking and Finance. 2006. Vol. 30. No 1. Pp. 199–227.
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http://journal.fsv.cuni.cz/storage/1343_hajkova.pdf (accessed: 01.09.2023). - Malinowska A. Liquidity constraints and the balance Sheet channel of monetary policy transmission. Economic studies. 2016. Vol. 1. Pp. 71–88 Available at: https://www.researchgate.net/publication/301527925_Liquidity_constraints_and_the_balance_sheet_channel_of_monetary_policy_transmission (accessed: 01.09.2023).
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https://www.ecb.europa.eu/pub/pdf/scpwps/ecb.wp2390~f6688df85d. en.pdf (accessed: 01.09.2023). - Jeenas P. Firm Balance Sheet Liquidity, Monetary Policy Shocks, and Investment Dynamics. CREI Working Paper. 2019. 83 p. Available at: https://crei.cat/wp-content/uploads/2020/06/Jeenas_JMP.pdf (accessed: 01.09.2023).
- Ottonello P., Winberry T. Financial heterogeneity and the investment channel of monetary policy. Econometrica. 2020. Vol. 88. No 6. November. Pp. 2473–2502.
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- Prokopev F. Balance Sheet Channel of Monetary Policy: Evidence from Credit Spreads of Russian Firms. Den’gi i kredit [Russian Journal of Money and Finance]. 2021. 80 (4). Pp. 3–30. 2021. (In Russ.)
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fluctuations]. Moscow: Publishing house “Delo” RANEPA, 2019. 528 p. (Academic textbook). (In Russ.) - John B. Taylor, Harald Uhlig Spravochnoye rukovodstvo po makroekonomike : v 5 kn. Kn. 2. Metodologiya v makroekonomike [Reference Guide to Macroeconomics: 5 books. Book 2. Methodology in macroeconomics]. Moscow: Publishing house “Delo” RANEPA, 2020.
1128 p. (Academic textbook). (In Russ.) - Oliner S. D., Rudebusch G. D. Is there a broad credit chanel for monetary policy. Economic Review / Federal Reserve Bank of San Francisco. 1996. No 1. Pp. 3–13. Available at: https://www.frbsf.org/economic-research/wpcontent/uploads/sites/4/3-13-2.pdf (accessed: 01.09.2023).
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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.
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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
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
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- 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.)
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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
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
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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
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
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
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
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- 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.)
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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.
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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
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.)
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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
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
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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- Gepko I. A. Sovremennye besprovodnye seti: sostoyanie i perspektivy razvitiya [Modern Wireless Networks: Status and Prospects of Development]. Кiev: «EKMO», 2009. 672 p. (In Russ.)
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- Fokin G. A. Texnologii programmno-konfiguriruemogo radio [Software-configurable radio technologies]. Мoscow: Goryachaya liniya – Telekom, 2023. 316 p.(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
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.)
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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
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.)
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- 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.)
- Shustova E. N. Obuchenie aksiomaticheskomu metodu vvedeniya elementarnyh funkcij v vuze kak komponent sistemy formirovaniya metodicheskoj kompetentnosti budushchih uchitelej matematiki: dissertaciya . . . kandidata pedagogicheskih nauk: 13.00.02 [Teaching
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.) - Popov N. I. Fundamentalizaciya universitetskogo matematicheskogo obrazovaniya : monografiya [Fundamentalization of University Mathematical Education : Monograph]. Yelets: EGU im. I. A. Bunina, 174 p. (In Russ.)
- 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
Bulletin 1 (46) 2023
Elena A. Sozontova On new cases of solvability of the Goursat problem in quadratures for one hyperbolic type system
https://doi.org/10.34130/1992-2752_2023_1_4
Elena A. Sozontova – Elabuga Institute KFU, sozontova-elena@rambler.ru
Abstract. The paper investigates the Goursat problem for a hyperbolic type system with two independent variables. With the help of factorization of the equations of the system under consideration, new cases of solvability in the quadratures of the problem are obtained.
Keywords: hyperbolic system, the Goursat problem, solvability in quadratures.
References
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- Sozontova E. A. On new cases of solvability of the Goursat problem in quadratures for a second-order system. Trudy Matematicheskogo centra imeni N. I. Lobachevskogo: materialy XVI molodezhnoj nauchnoj shkoly-konferencii “Lobachevskie chteniya – 2017” [Proceedings of the N. I. Lobachevsky: materials of the XVI Youth Scientific School-Conference “Lobachevsky Readings – 2017”], 2017, pp. 140–141. (In Russ.)
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- Zhegalov V. I. On solvability cases for hyperbolic equations in terms of special functions. Neklassicheskie uravneniya matematicheskoi fiziki [Nonclassical Equations of Mathematical Physics]. Novosibirsk: Mathematical Institute, Russian Academy of Science, Siberian Branch,
2002, pp. 73–79. (In Russ.) - Zhegalov V. I., Sarvarova I. M. Solvability of the Goursat problem in quadratures. Izvestiya vuzov. Matematika [Russian Mathematics], 2013, no 3, pp. 68–73. (In Russ.)
- Zhegalov V. I., Sozontova E. A. An addition to the cases of solvability of the goursat problem in quadratures. Differencial’nye uravneniya [Differential equations], 2017, vol. 53, no 2, pp. 270–272. (In Russ.)
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For citation: Sozontova E. A. On new cases of solvability of the Goursat problem in quadratures for one hyperbolic type system. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 1 (46), pp. 4−13. https://doi.org/10.34130/1992- 2752_2023_1_4
II. Nadezhda N. Babikova Using NumPy to vectorization of Python code
https://doi.org/10.34130/1992-2752_2023_1_14
Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University, valmasha@mail.ru\
Abstrakt. Code vectorization is the process of moving from operations on individual elements of arrays to operations that occur on entire arrays or their parts. The NumPy library tools that allow to vectorize Python code are discussed in the article: vector functions, broadcasting, masking, fancy indexing. The effectiveness of these tools is demonstrated on the example of two machine learning problems.
Keywords: NumPy, Python, vectorization, multidimensional arrays, loops.
References
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For citation: 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. https://doi.org/10.34130/1992-2752_2023_1_14
III. Yuriy V. Golchevskiy, Dmitriy A. Ushakov Cryptographic Calculations Acceleration by Low-Level Optimization of Basic Blocks
https://doi.org/10.34130/1992-2752_2023_1_30
Yuriy V. Golchevskiy – Pitirim Sorokin Syktyvkar State University, yurygol@mail.ru
Dmitriy A. Ushakov – Pitirim Sorokin Syktyvkar State University
Abstract. Thе paper presents a study of optimizing the program code problem when implementing encryption algorithms. The basic blocks of the cryptographic algorithm are highlighted on the example of the Kuznechik algorithm. Implemented variants of the algorithm using different versions of vector instructions and their combinations have been tested on processors of various microarchitectures. Some developed algorithm implementation variants show a higher encryption speed than existing software products.
Keywords: cryptographic computing, low-level optimization, basic blocks, algorithm Kuznechik.
References
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- Severin P. A., Golchevskiy Yu. V. Low-Level Performance Optimization on the Example of the Hash Function GOST R 34.11- Sistemnyy administrator [System Administrator]. 2017, no 1–2, pp. 170–171. (In Russ.)
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For citation: Golchevskiy Yu. V., Ushakov D. A. Cryptographic Calculations Acceleration by Low-Level Optimization of Basic Blocks. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 1 (46), pp. 30−49. https://doi.org/10.34130/1992-2752_2023_1_30
IV. Svetlana A. Deynega Components of Geometric-graphic Competence, Formed in the Study of Descriptive Geometry at a Technical University
https://doi.org/10.34130/1992-2752_2023_1_50
Svetlana A. Deynega – Uсhta State Technical University, deynega07@mail.ru
Abstract. The article considers the generalized components of the professional competencies of students of a technical university. The significance of the formation of a cognitive and creative component at the initial stage of professional training is revealed. The possibilities of forming a cognitive and creative component of geometry and graphic competence in the study of descriptive geometry are shown.
Keywords: studying projective geometry, mathematical and graphic competence, technical education.
References
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at: https://science-education.ru/ru/article/view?id=30663 (accessed: 03.03.2023). (In Russ.) - Guznenkov V. N., Yakunin V.I., Seregin V.I. et al. Computer graphics – the basis of geometric-graphic training. Mezhdunarodnyy nauchno-issledovatel’skiy zhurnal [International Research Journal]. 2016, no 4 (46). Available at: https://research-journal.org/archive/4-
46-2016-april/kompyuternaya-grafika-osnova-geometro-graficheskojpodgotovki (accessed: 07.03.2023). doi: 10.18454/IRJ.2016.46.298 (In Russ.) - Savchenko E. V. Components of the information competence of the future engineer, formed in the study of fundamental disciplines. Sovremennoye obrazovaniye [Modern Education]. 2020, no 4, pp. 37–48. Available at: https://nbpublish.com/library_read_article.php?id=31606 (accessed: 07.03.2023). doi: 10.25136/2409-8736.2020.4.31606 (In Russ.)
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For citation: Deynega S. A. Components of Geometric-graphic Competence, Formed in the Study of Descriptive Geometry at a Technical University. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 1 (46), pp. 50−63. https://doi.org/10.34130/1992 2752_2023_1_50
V. Sergej N. Dorofeev, Natalija V. Nazemnova Numerical sequences as a fundamental factor in the formation of creative activity in future bachelors
https://doi.org/10.34130/1992-2752_2023_1_64
Sergej N. Dorofeev – Togliatti State University, komrad.dorofeev2010@yandex.ru
Natalija V. Nazemnova – Penza State University
Abstract. This article examines the problems of training engineering personnel for creative activity in the process of studying the basics of higher mathematics.
Keywords: mathematical education, continuity, fundamentality, quality of mathematical training, numerical sequences, integrals.
References
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- Dorofeev S. N. Teoriya i praktika formirovaniya tvorcheskoy aktivnosti budushchikh uchiteley matematiki v pedagogicheskom vuze [Theory and practice of formation of creative activity of future teachers of mathematics at a pedagogical university, dissertation for the degree of Doctor of Pedagogical Sciences]. Penza, 2000. 410 p. (In Russ.)
- Dorofeev S. N., Ivanova T. A., Uteeva R. A. et al. Continuity in the preparation of future bachelors of pedagogical education (profile “Mathematics”) for creative activity. Gumanitarnyye nauki i obrazovaniye [Humanities and Education]. 2018, vol. 9, no 4 (36), pp. 25–30. (In Russ.)
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For citation: Deynega S. A. Components of Geometric-graphic Competence, Formed in the Study of Descriptive Geometry at a Technical University. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 1 (46), pp. 50−63. https://doi.org/10.34130/1992-2752_2023_1_50
VI. Vladimir P. Odinets On the works of three prewar mathematicians from Alma-Ata, Moscow, and Leningrad
https://doi.org/10.34130/1992-2752_2023_1_78
Vladimir P. Odinets – W.P.Odyniec@mail.ru
Abstract. The article considers the works of three mathematicians: I. Akbergenov, specialist in Fredholm integral equations, a student of Professor L. Kantorovich, S. Arshon, specialist in combinatorics and function theory and Professor B. Izvekov, in the field of teaching higher mathematics, who lived accordingly, in Alma-Ata, Moscow and Leningrad and perished in 1938–1942.
Keywords: integral equations, Fredholm equation of second kind, Sarrus rule, combinatorial analysis, asymmetric sequence, vector analysis.
References
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- Akbergtnov I. A. On the estimation of the mistake of the approximate solution of the Fredholm integral equation of a second kind by E. Nistrom method. Leningrad. Trudy 2-go Vsesouznogo Matematicheskogo s’ezda (1934). T. 2. Sekcionnye doklady [Proceedings of the 2nd All-Union Mathematical Congress. Vol. 2 (Sectional reports)], 1935, pp. 386–387. (In Russ.)
- Akbergenov I. A. Upon an approximate solution of the Fredholm integral equations and the determination of its eigenvalues. Mat. sb. [Mathematical collection], 1935, vol. 42. no 6, pp. 679–698. (In Russ.)
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- Arshon S. E. A generalization of the Sarrus rule. Mat. sb. [Mathematical collection], 1935, vol. 42, no 1, pp. 121–128. (In Russ.)
- Arshon S. E. A property of the arithmetic proportion. Mat. prosv. [Mathematical education], 1936, no 5, pp. 24–28. (In Russ.)
- Arshon S. E. A proof of the existence of n-valued infinite asymmetrical sequence. Mat. sbornik [Mathematical collection], 1937, vol. 44, no 4, pp. 769–779. (In Russ.)
- Kirsanov V. S. The books Destroyed: an echo by the Stalin’s terror in Soviet historical science. Sem’ iskustv [Seven arts], no 12. 05.01.(2015), pp. 21–34. (In Russ.)
- Balach-Izvekova T. B. Vospominaniya moyey zhizni [Memories of my life]. SPb.,2008 (Return). 171 p.; 2009 (Continuation). 114 p.; 2010 (Epilogue). 120 p. (In Russ.)
- Nauka i nauchnyye rabotniki v SSSR. Ch. V. Nauchnyye rabotniki Leningrada [Science and the scientific workers in the USSR. Part V. Scientific workers of Leningrad]. L.: Izd-vo AN U.S.S.R., 1934. 746 p. (In Russ.)
- Izvekov B. I. Osnovy vektornogo analiza [A basis of vector analysis]. L.: Izd-vo Kubuch, 1934, 176 p. (In Russ.)
- Izvekov B. I.. Sbornik zadach po prikladnoy matematike dlya studentov, aspirantov i prepodavateley vtuzov [A collection of problems in applied mathematics for students, past-graduate students and the instructors of higher technical education]. M., L.: Gos.technikoteoreticheskoe izd-vo, 1935. Part 1. 218 p. (In Russ.)\
For citation: Odinets V. P. On the works of three prewar mathematicians from Alma-Ata, Moscow, and Leningrad. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2023, no 1 (46), pp. 78−90. https://doi.org/10.34130/1992- 2752_2023_1_78
Bulletin 4 (45) 2022
I. Nikolai N. Petrov, Dilshodbek M. Allashkurov To modeling conflicts in cyberspace using matrix games
https://doi.org/10.34130/1992-2752_2022_4_4
Nikolai N. Petrov – Udmurt State University, e-mail: kma3@list.ru
Dilshodbek M. Allashkurov – Urgench State University, Uzbekistan, e-mail: allashkurovdilshod@gmail.com
Annotation. The problem of a conflict in cyberspace between a group responsible for the operation of servers and a group trying to disrupt the operation of these servers is considered. It is assumed that due to limited resources not all of the servers receive additional protection, and one or two servers are under attack. The aim of the attacking side is to increase the probability of bringing down some of the servers. A model of such a conflict is constructed in the form of a
matrix game. An equilibrium situation is found in mixed strategies.
Keywords: cyberspace, matrix game, mixed strategies,equilibrium situation.
References
- Guts A.K., Vakhniy T. V. Teoriya igr i zashita informacii [Game theory and information protection]. Omsk: Izd-vo Omskogo un-ta, 2013.160 p. (In Russ.)
- Grobotun E.E. Teoreticheskie osnovy postroeniya sistem zashhity ot kompyuternyx atak dlya avtomatizirovannyx sistem upravleniya [Theoretical foundations for building protection systems against computer attacks on automated systems management]. SPB.: High technologies, 2017. 120 p. (In Russ.)
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For citation: Petrov N. N., Allashkurov D. M. To modeling conflicts in cyberspace using matrix games. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 4−16. https://doi.org/10.34130/1992-2752_2022_4_4
II. Kirill A. Fofanov The Hausdorff ‘s measure behaviour under the mappings
https://doi.org/10.34130/1992-2752_2022_4_17
Kirill A. Fofanov – Herzen State Pedagogical University of Russia, e-mail: kirfof@mail.ru
Abstract. Alforse’s «principle of lenght and area» gives the estimation of the fraction of the measures of set and its image under the analytical function. In 1974 this result was generalized by N.A.Shirokov by replacing Lebesgue measures whith Hausdorff‘s measures. In this article it will be shown that considering a broader class of functions in the definition of the Hausdorff‘s measure does not change the previous estimation.
Keywords: Hausdorff’s measure, analytical function, measure integral.
References
- Shirokov N. A. On one generalization of the Alphors theorem. Zap. nauchnyx seminarov LOMI [Notes of LOMI scientific seminars], 1974. Vol. 44, pp. 179–185. (In Russ.)
- Vinogradov O. L. Matematicheskij analiz: uchebnik [Mathematical Analysis: Textbook] SPb.: BHV-Peterburg, 2021. 752 p. (In Russ.)
For citation: Fofanov K. A. The Hausdorff‘s measure behaviour under the mappings. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 17−32. https://doi.org/10.34130/1992-2752_2022_4_17
III. Ivan I. Lavresh, Vladislav D. Kuznetsov Simulation modeling of the processes of providing IT-services using the method of gradual formalization
https://doi.org/10.34130/1992-2752_2022_4_33
Ivan I. Lavresh – Pitirim Sorokin Syktyvkar State University, e-mail: ilavresh@mail.ru
Vladislav D. Kuznetsov – Information technology center, e-mail: hirufu96@yandex.ru
Annotation. In the article c using the gradual formalization method described by the ability to build processes for providing IT services using simulation modeling to ensure management decisions are made on the effective and efficient workload of departments and the organization as a whole in order to achieve the organization’s business goals.
Keywords: IT-services, simulation modeling, gradual formalization, service Service-desk.
References
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- Petukhov O. A., Morozov A. V., Petukhova E. O. Modelirovanie: sistemnoe, imitacionnoe, analiticheskoe : ucheb. posobie [Modeling: system, simulation, analytical : textbook. manual]. 2nd ed., ispr. and add. St. Petersburg: Publishing House of NWTU, 2008. 288 p. (In Russ.)
- Kashtaeva S. V. Matematicheskoe modelirovanie : uchebnoe posobie [Mathematical modeling : textbook] / Ministry of Agriculture of the Russian Federation, Federal State Budgetary Educational Institution of Higher Education “Perm Agrarian and Technological University named
after Academician D.N. Pryanishnikov”. Perm: CPI Prokrost, 2020. 112 p. (In Russ.) - Zvonarev S. V. Osnovy matematicheskogo modelirovaniya : uchebnoe posobie [Fundamentals of mathematical modeling : a textbook]. Yekaterinburg: Ural Publishing House. un-ta, 2019. 112 p. (In Russ.)
- Limanovskaya O. V. Imitacionnoe modelirovanie v AnyLogic 7: 2 Volumes. Ch. 1 : uchebnoe posobie [Simulation modeling in AnyLogic from 7. Part 1 : textbook]. Yekaterinburg: Ural Publishing House. un–ta,152 p. (In Russ.)
- Margolis N. Y. Imitacionnoe modelirovanie : ucheb. posobie [Simulation modeling : textbook. manual]. Tomsk: Publishing House of Tomsk State University, 2015. 130 p. (In Russ.)
- Akopov A. S. Kompyuternoe modelirovanie : uchebnik i praktikum dlya SPO [Computer modeling: textbook and workshop for SPO]. Moscow: Yurayt Publishing House, 2019. 389 p. (In Russ.)
- Zhuravlev R. Illyustrirovanniy ITSM [Illustrated by ITSM]. Moscow: Live Book, 2013. 125 p. (In Russ.)
- England R. Vvedenie v realniy ITSM [Introduction to real ITSM]. Moscow: Live Book, 2011. 132 p.
- ITIL i ITSM: opredelenie metodologij, sravnenie, preimushhestva i nedostatki [ITIL and ITSM: definition of methodologies, comparison, advantages and disadvantages]. Available at:
https://mysmartservice.com/blog/itil-i-itsm (accessed: 10.15.2022). (In Russ.) - Biblioteka IT–infrastruktury (ITIL) [IT Infrastructure Library (ITIL).] Available at: https://www.ibm.com/ru-ru/cloud/learn/itinfrastructure-library (accessed: 03.23.2022). (In Russ.)
- Lavresh I. I., Kuznetsov V. D. Development of technology of simulation modeling of IT services in the processes of digitalization of the Komi Republic / IT-Arktika [IT-Arctic]. 2021. No 4, pp. 3–16. (In Russ.)
- Anylogic. Available at: https://www.anylogic.ru / (accessed:10.10.2022).
For citation: Lavresh I. I., Kuznetsov V. D. Simulation modeling of the processes of providing IT-services using the method of gradual formalization. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 33−45. https://doi.org/10.34130/1992-2752_2022_4_33
IV. Svetlana A. Deynega, Olga A. Sotnikova Features of building mathematical and graphic competence when studying projective geometry
https://doi.org/10.34130/1992-2752_2022_4_46
Svetlana A. Deynega – Ukhta State Technical University, e-mail: deynega07@mail.ru
Olga A. Sotnikova – Pitirim Sorokin Syktyvkar State University, e-mail: sotnikovaoa@syktsu.ru
Annotation. The article validates the need for the formation of the cognitive and creative component as part of professional competencies among technical university students. The article reveals the essence of this component. Its formation at the initial stage of professional training is recognized to be reasonable. The formation of the cognitive and creative component of mathematical and graphical competence in the study of descriptive geometry is shown to start the mechanism for the development of notions about the ideas and methods of mathematical and graphical modeling.
Keywords: studying projective geometry, mathematical and graphic competence, technical education.
References
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For citation: Deynega S. A., Sotnikova O. A. Features of building mathematical and graphic competence when studying projective geometry. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 46−51. https://doi.org/10.34130/1992-2752_2022_4_46
V. Natalia A. Zelenina Selection of basic problems in the study of the theme «The equation of a circle in problems with parameters»
https://doi.org/10.34130/1992-2752_2022_4_52
Natalia A. Zelenina – Vyatka State University, e-mail: sezel@mail.ru
Annotation. Ensuring a high quality of teaching mathematics to students is inextricably linked with teaching how to solve creative mathematical problems. These problems traditionally include tasks of high educational, developmental and diagnostic value. The purpose of this research is to develop and describe a teaching methodology for solving problems with parameters based on the allocation of basic (key) problems.
Keywords: teaching methods of mathematics, tasks with parameters, basic (key) tasks, equation of a circle.
References
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- Sarantsev G. I. Uprazhneniya v obuchenii mahematike [Exercises in Teaching Manematics]. M.: Prosveschenie, 1995. 240 p. (In Russ.)
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- Gornshtein P. I., Polonsky V. B., Yakir M. S. Zadachi s parametrami [Problems with parameters]. Kyiv: RIA «Tekst», MP «Oko», 1992. 326 p. (In Russ.)
- Kozhukhov S. K., Kozhukhova S. A. Uravneniya i neravenstva s parametrom [Equations and inequalities with a parameter]. Orel: OIUU,76 p. (In Russ.)
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- Koryanov A. G., Prokofiev A. A. Using the visual-graphical interpretation method when solving equations and inequalities with parameters. Matematika v shkole [Mathematics in School]. 2011. No 1, pp. 25–32. (In Russ.)
- Modenov V. P. Zadachi s parametrami. Coordinatnoparametricheskiy metod: uchebnoye posobiye [Problems with parameters. Coordinate-parametric method: study guide]. M.: Examen,285 p. (In Russ.)
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For citation: Zelenina N. A. Selection of basic problems in the study of the theme «The equation of a circle in problems with parameters». Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 52−66. https://doi.org/10.34130/1992- 2752_2022_4_52
VI. Andrei V. Yermolenko, Anatoliy A. Durkin On the contact problem for a cylindrical panel and a rectangular bar
https://doi.org/10.34130/1992-2752_2022_4_67
Andrei V. Yermolenko – Pitirim Sorokin Syktyvkar State University, e-mail: ea74@list.ru
Anatoliy A. Durkin – Pitirim Sorokin Syktyvkar State University
Annotation. The contact problem for an infinite cylindrical panel and an infinite rectangular beam is analytically solved using the classical theory, a system for determining the interaction zone is built. According to the parameters found numerically from the system, the deflection and contact reactions are determined. The obtained result agrees with the solution obtained by the generalized reaction method.
Keywords: cylindrical panel, contact problem, generalized reaction method.
References
- Mikhailovskii E. I. Shkola mekhaniki akademika Novozhilova [The Novozhilov School of Mechanics]. Syktyvkar: Publishing House of the Syktyvkar University, 2005. 172 p.
- Mikhailovsky E.I., Tarasov V.N. Convergence of the generalized reaction method in contact problems with a free boundary. RAN. PMM. [RAS. PMM]. 1993. Vol. 57. Issue 1, pp. 128–136.
- Michailovskii E. I., Badokin K. V., Yermolenko A. V. The Karman type theory of flat plates without Kirchhoff’s hypotheses. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika.
Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics]. 1999. No. 3, pp. 181–202. - 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.
For citation: Yermolenko A. V., Durkin A. A. On the contact problem for a cylindrical panel and a rectangular bar. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 67−74. https://doi.org/10.34130/1992-2752_2022_4_67
VII. Maya I. Burlykina Dear Teacher and Grateful Student (in memory of E. I. Mikhailovsky and V. L. Nikitenkov)
https://doi.org/10.34130/1992-2752_2022_4_33
Maya I. Burlykina – Pitirim Sorokin Syktyvkar State University
Abstract. This biographical article is about the work and scientific career of E. I. Mikhailovsky and V. L. Nikitenkov, two distinguished mathematics professors Syktyvkar State University.
Keywords: Syktyvkar State University, anniversary.
For citation: Burlykina M. I. Dear Teacher and Grateful Student (in memory of E. I. Mikhailovsky and V. L. Nikitenkov). Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 4 (45), pp. 75−89. https://doi.org/10.34130/1992- 2752_2022_4_75
Bulletin 3 (44) 2022
I. Ebgeniy M. Vechtomov About commutative multiplicatively idempotent semirings with the property of maximality of prime ideals
https://doi.org/10.34130/1992-2752_2022_3_4
Ebgeniy M. Vechtomov – Vyatka State University, vecht@mail.ru
Annotation. The article continues investigation of commutative multiplicatively idempotent semirings with the property of maximality of prime ideals. The author gives a detailed proof of a
theorem claiming that any distributive lattice has the property of maximality of prime ideals if and only if it is a lattice with relative complements. For an arbitrary of commutative multiplicatively idempotent semiring with the identity x + 2xy = x the following is proved: the property of maximality for prime ideals there is equivalent the fact that the lattice associated with this semiring is a lattice with relative complements.
Keywords: semiring, commutative multiplicatively idempotent semiring, property of maximality of prime ideals.
References
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- Vechtomov E. M., Petrov A. A Prime ideals in multiplicatively idempotent semirings. textitMatematicheskie zametki [Mathematical notes]. 2022. Vol. 111. Issue 4. P. 494–505. (In Russ.)
- Vechtomov E. M., Petrov A. A. Multiplicatively idempotent semirings in which all congruences are ideal. Matematicheskie zametki [Mathematical notes]. 2022. Vol. 112. Issue 3. Pp. 376–383. (In Russ.)
- Vechtomov E. M., Petrov A. A. Multiplicatively idempotent semirings with the annihilator condition. Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii : materialy XXI Mezhdunarodnoj konferencii, posvyashhennoj 85-
letiyu so dnya rozhdeniya A. A. Karacuby [Algebra, number theory and discrete geometry: modern problems, applications and problems of history: Materials XXI International conference dedicated to the 85th anniversary of the birth of A. A. Karatsuba]. Tula: TSPU im. L.N. Tolstoy, 2022. Pp. 125–128. (In Russ.) - Vechtomov E. M., Petrov A. A. Multiplicatively idempotent semirings with additional conditions. Materialy 41-go Mezhdunarodnogo nauchnogo seminara prepodavatelej matematiki i informatiki
universitetov i pedagogicheskix vuzov «Matematika i problemy obrazovaniya» [Proceedings of the 41st International Scientific Seminar for Teachers of Mathematics and Informatics of Universities and Pedagogical Universities «Mathematics and Problems of Education»]. Kirov: VyatGU, 2022. Pp. 4–8. - Vechtomov E. M. Annihilator characterizations of Boolean rings and distributive lattices. Matematicheskie zametki [Mathematical notes].T. 53. Issue 2. Pp. 15–24. (In Russ.)
- Chermnykh V. V. Funkcionalnye predstavleniya polukolec [Functional representations of semirings]. Kirov: Publishing house of VyatGGU,224 p. (In Russ.)
- Gretzer G. Obshhaya teoriya reshetok [General theory of lattices]. M.: Mir, 1982. 456 p. (In Russ.)
- Skornyakov L. A. Elementy teorii struktur. 2-e izd., dop. [Elements of the theory of structures. 2nd ed., add.] Moscow: Nauka, 1982. 160 p. (In Russ.)
For citation: Vechtomov E. M. About commutative multiplicatively idempotent semirings with the property of maximality of prime ideals. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika.
Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 3 (44), pp. 4−20.https://doi.org/10.34130/1992-2752_2022_3_4
II. Yuriy V. Golchevskiy, Lidiya P. Shilova Selecting a Solution Method for the Problem of Automating the Classification of Texts Related to Industrial Safety Audits
https://doi.org/10.34130/1992-2752_2022_3_21
Yuriy V. Golchevskiy – Pitirim Sorokin Syktyvkar State University, e-mail: yurygol@mail.ru
Lidiya P. Shilova – Semantic machines, e-mail: shilovalp@bk.ru
Abstract. The importance of solving problems arising from text classification in to-day’s world is undeniable, due to the fact that a huge amount of textual in-formation of different kinds is generated, which needs some processing and analysis.
Keywords: Machine Learning, Text Classification, Industrial Safety Audits.
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For citation: Golchevskiy Yu. V., Shilova L. P. Selecting a Solution Method for the Problem of Automating the Classification of Texts Related to Industrial Safety Audits. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika [Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics], 2022, No 3 (44), pp. 21−32. https://doi.org/10.34130/1992-2752_2022_3_21
III. Nadezhda N. Babikova Education in the digital age: remember or google
https://doi.org/10.34130/1992-2752_2022_3_33
Nadezhda N. Babikova – Pitirim Sorokin Syktyvkar State University, e-mail: valmasha@mail.ru
Abstract.We live in an age of rapid changes in all areas of human practice, associated with the development of digital technologies. How do these changes affect the memory performance of modern students, what do students themselves think about these changes, and what cognitive
memory strategies are used in the learning process? How can we help students form the necessary level of memorization of educational material? The article presents the results of a study based on these questions.
Keywords: memory, memory performance, memory strategies, Internet, digital technologies.
References
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10.30914/2072-6783-2018-12-3-9-16. (In Russ.) - Metacognitive awareness and student achievement / N. N. Babikova, O. A. Maltseva, E. N. Starceva, M. S. Turkina. Dvadcat pyataya godichnaya sessiya Uchenogo soveta Syktyvkarskogo gosudarstvennogo universiteta imeni Pitirima Sorokina (Fevralskie chteniya) : sbornik materialov: tekstovoe nauchnoe elektronnoe izdanie na kompakt-diske, Syktyvkar, 01–28 fevralya 2018 goda [Twenty-fifth Annual Session of the Academic Council of Syktyvkar State University named after Pitirim Sorokin (February Readings) : collection of materials: text
scientific electronic edition on CD-ROM]. Syktyvkar: Syktyvkarskij gosudarstvennyj universitet im. Pitirima Sorokina, 2018. 856 p. ISBN 978-5-87661-569-5. (In Russ.) - Ashymova N. Sh., Kazakova N. O. Memory performance of 1st year students of the Faculty of Biology and Chemistry of KSU. I. Arabaeva. Problemy sovremennoj nauki i obrazovaniya [The problems of modern science and education]. 2017. No 7 (89). Pp. 16−19. (In Russ.)
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at: https://psychology.ua.edu/wp-content/uploads/2016/03/Google-IsChanging-the-Way-we-Think.pdf (accessed: 07.09.2022). - Davydovskij A., Pishchova A. Influence of the Internet environment on memory processes. Nauka i innovacii [Science and Innovations].No 12 (190). Pp. 28−33. (In Russ.)
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prospects of development of socio-technical environment : materials of the IV International Scientific-Practical Conference, Moscow, December 13, 2018 / ed. by I. L. Surat.]. M.: Sovremennyj gumanitarnyj universitet, 2018. Pp. 474−479. (In Russ.) - Kuznecova A. V. Mnemic Ability of the Internet Active Schoolboy of 14–16 years. Yaroslavskij pedagogicheskij vestnik [Yaroslavl Pedagogical Bulletin]. 2010. Vol. 2. No 4. Pp. 231−235. (In Russ.)
- Cheremoshkina L. V. The influence of Internet activity on the mnemonic abilities of the subject. Psihologiya. Zhurnal Vysshej shkoly ekonomiki [Psychology. Journal of the Higher School of Economics].Vol. 7. No 3. Pp. 57–71. (In Russ.)
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IV. Ramiz M. Aslanov, Vladislav V. Sushkov – Historical ways of emergence and development of complex analysis
https://doi.org/10.34130/1992-2752_2022_3_47
Ramiz M. Aslanov – Institute of Mathematics and Mechanics, National Academy of Sciences of
Azerbaijan, e-mail: r_aslanov@list.ru
Vladislav V. Sushkov – Syktyvkar State University named after Pitirim Sorokin, e-mail: vvsu@mail.ru
Abstract. The work considers the history of the emergence and development of the theory of the function of a complex variable as a branch of science and its influence on the development of the
corresponding educational discipline. In both cases, the main stages of the historical process are highlighted, key figures, dates, facts, publications and results are indicated. It is argued that the traditional logic of the presentation of the educational discipline “Theory of functions of the complex variable”to a greater or lesser extent repeats the historical logic of the development of the scientific industry. The development of either specialized or as universal as possible textbooks adapted to different levels of teaching should take into account the history of the development of the discipline, but should be based on modern educational technologies and the possibilities of electronic
teaching tools and resources.
Keywords: theory of functions of complex variable, complex analysis, history of mathematics, educational discipline, stages of development, educational technologies, methodological component.
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For citation: 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. https://doi.org/10.34130/1992-2752_2022_3_47
V. Andrey V. Yermolenko, Nikita V. Kozhageldiev On the solution of the inhomogeneous biharmonic equation
https://doi.org/10.34130/1992-2752_2022_3_64
Andrey V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru
Nikita V. Kozhageldiev – Pitirim Sorokin Syktyvkar State University.
Annotation. When calculating the stress-strain state of plates, it becomes necessary to solve an inhomogeneous biharmonic equation, the complexity of which is due to the presence of fourth derivatives. The article considers a review of methods for solving such equations, while the implementation of three solution methods is given – the Galerkin method and two iterative methods. An algorithm for constructing test cases is given.
Keywords: biharmonic equation, Galerkin method, iterative methods
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For citation: 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], 2022, No 3 (44), pp. 64−78. https://doi.org/10.34130/1992-2752_2022_3_64
Bulletin 2 (43) 2022
I. Tatyana M. Bannikova, Olga M. Nemtsova Geometrical and analytical characteristics of the constructing the polynomial of а circle division
https://doi.org/10.34130/1992-2752_2022_2_4
Tatyana M. Bannikova – Udmurt State University.
Olga M. Nemtsova – Udmurt State University.
Abstract. The problem of finding circle division polynomials with the condition of specifying some of their coefficients is discussed. The problem of the existence of polynomials of this type is solved, but the problem of the ambiguity of finding circle division polynomials with a given simple or composite coefficient, as well as features of its number (such as decomposition into prime factors and a significant order with respect to a given coefficient) can be used in setting an open key in cryptographic systems. So it is known to use the roots of circle division polynomials as a cyclic group generator in the Berlekamp-Massey algorithm.
Keywords: circle division polynomials, cryptosystem, key’s generation, ciphertext.
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For citation: Bannikova T. M., Nemtsova O. M. Geometrical and analytical characteristics of the constructing the polynomial of а circle division. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika=Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 2 (43), pp. 4−20. https://doi.org/10.34130/1992-2752_2022_2_4
II. Nadezhda A. Belyaeva, Ilya O. Mashin, Anastasia V. Nadutkina Phase transition of a viscous fluid in a nonisothermal flow
https://doi.org/10.34130/1992-2752_2022_2_21
Nadezhda A. Belyaeva – Pitirim Sorokin Syktyvkar State University.
Ilya O. Mashin – Institute of Physics and Mathematics of the Federal Research Center Komi
Scientific Center of the Ural Branch of the Russian Academy of Sciences.
Anastasia V. Nadutkina – Pitirim Sorokin Syktyvkar State University.
Annotation. A mathematical model is constructed for a nonisothermal pressure flow of an incompressible viscous fluid between two parallel planes. The basic relations of the model are the Navier-Stokes equation of motion, the heat conduction equation, the corresponding initial and
boundary conditions. In the flow process the possible phase transition ¨liquid – solid¨is taken into account.The condition for matching the temperatures of the solid and liquid phases is specified at the interface.The corresponding dimensionless flow model is constructed. A numerical analysis of the flow is carried out with varying the dimensionless parameters of the problem.The graphical results of numerical experiments are presented and analyzed. Graphical results of numerical experiments are presented and analyzed.
Keywords: viscous fluid, non-uniform temperature field, phase transition, numerical analysis.
References
- Belyaeva N. A., Nadutkina A. V. Non-isothermal flow of a viscous fluid. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mexanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2019, V. 3 (32). Pp. 20–30. (In
Russ.) - Belyaeva N. A. Heterogeneous flow of the structured liquid. Matematicheskoye modelirovaniye [Mathematical modeling], 2006, V. 18. Pp. 3–14. (In Russ.)
- Belyaeva N. A., Yakovleva A. F. Frontal wave of pressure flow. [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics], 2017, V. 2 (23). Pp. 3–12. (In Russ.)
- Belyaeva N. A., Stolin A. M., Stelmakh L. S. Dynamics of Solid-State Extrusion of Viscoelastic Cross-Linked polymeric Materials. Theoretical Foundations of Chemical Engineering, 2008, V. 42. Pp. 549– 556.
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- Belyaeva N. A. Osnovy gidrodinamiki v modelyakh: uchebnoye posobiye [Fundamentals of hydrodynamics in models: a training manual]. Syktyvkar: Publishing House of the Syktyvkar State University, 2011. 147 p. (In Russ.)
For citation: Belyaeva N. A., Mashin I. O., Nadutkina A. V. Phase transition of a viscous fluid in a nonisothermal flow. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika=Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022,
No. 2 (43), pp. 21−31. https://doi.org/10.34130/1992-2752_2022_2_21
III. Andrey S. Penin, Nikita O. Tursukov Development of components of a model for assessing the state of a cyberphysical system operator
https://doi.org/10.34130/1992-2752_2022_2_15
Andrey S. Penin – ITMO University.
Nikita O. Tursukov – ETU.
Abstract. During the research work, the main biological markers of the human body were studied and those of them that met the requirements were selected for further research. A system for
evaluating employee performance based on a bidirectional LSTM network was developed, the accuracy of activity recognition was 88%, the value of the loss function was 0.504. In the future, the employee activity assessment system and biological markers will be combined into a model for assessing the state of the cyberphysical system operator.
Keywords: neural networks, LSTM-networks, biomarkers, models, systems, state.
References
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https://www.researchgate.net/publication/323847517_A_Comprehensive_Study_of_Activity_Recognition_Using_Accelerometers – March 2018 - Ivan Ozhiganov. Using LSTM Neural Network to Process Accelerometer Data. URL: https://dzone.com/articles/using-lstmneural-network-to-process-accelerometer – 08.05.2017
- Arumugam Thendramil Pavai. Sensor Based Human Activity Recognition Using Bidirectional LSTM for Closely Related Activities. California State University, San-Bernardino, Electronic Theses Projects and Dissertations – 776 – 12.2018
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For citation: Penin A. S., Tursukov N. O. Development of components of a model for assessing the state of a cyberphysical system operator. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika=Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 2 (43), pp. 32−54.
https://doi.org/10.34130/1992-2752_2022_2_32
IV. Nikolay I. Popov, Evgeniya A. Kaneva Forming schoolchildren’s cognitive interest in mathematics using computer educational games
https://doi.org/10.34130/1992-2752_2022_2_55
Nikolay I. Popov – Pitirim Sorokin Syktyvkar State University.
Evgeniya A. Kaneva – Pitirim Sorokin Syktyvkar State University.
Annotation. At present, due to the effective development of information and communication technologies, global changes affect all spheres of human life, including the educational process at school. Teachers face the problem of combining traditional methods and teaching aids with innovative ones to improve the efficiency and quality of the educational process. Since it is difficult for students to keep their attention on one object of study in the conditions of a large flow of information, teachers need to use modern technologies in their work to increase the motivation and interest of students in the subject. One of such educational technologies is educational computer
games.
Keywords: computer learning games, teaching mathematics, game technologies.
References
- Popov N. I. Fundamentalizaciya universitetskogo matematicheskogo obrazovaniya : monografiya [The fundamentalization of university mathematics education: monograph] / Yelets: EGU im. I.A. Bunina,174 p. (In Russ.)
- Popov N. I., Kaneva E. A. The use of computer games in mathematics in the educational process of secondary school. Matematicheskoe modelirovanie i informacionnye technologii
[Electronic resource]: V Vserossijskaya nauchnaya konferenciya s mezhdunarodnym ychastiem [Mathematical modeling and information technologies [Electronic resource]: V All-Russian scientific conference with international participation] (December 9–11, 2021, Syktyvkar):
collection of materials: text scientific electronic edition on CD. Syktyvkar: Publishing House of SSU im. Pitirim Sorokina, 2021, pp. 57–58. (In Russ.) - Bocharov M. I., Mozharova T. N., Soboleva E. V., Suvorova T. N.Development of a personalized model of teaching mathematics by means of interactive short stories to improve the
quality of educational results for schoolchildren. Perspektivy nauki i obrazovaniya [Prospects of Science and Education]. 2021. No. 5 (53). Pp. 306–322. (In Russ.) - Zinoveva L .V., Zinovev S.A. Role-playing video games in the space of psychocorrection and psychotherapy. Smalta. 2017. No. 4. Pp. 17–19.
- Paiva J. C., Leal J. P., Queiros R. Fostering programming practice through games. Information (Switzerland). 2020. No. 11 (11). Pp. 1– 20.
- Kaneva E. A.Computer game in mathematics for schoolchildren. Materialy VII nauchno-obrazovatelnoj studencheskoj konferencii, posvyashchennoj dnyu rozhdeniya Nikolaya Ivanovicha Lobachevskogo [Proceedings of the VII scientific and educational student conferencededicated to the birthday of Nikolai Ivanovich Lobachevsky]. Kazan.S. 126–131. (In Russ.)
For citation: Popov N. I., Kaneva E. A. Forming schoolchildren’s cognitive interest in mathematics using computer educational games. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika.
Mekhanika. Informatika=Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 2 (43), pp. 55−66. https://doi.org/10.34130/1992-2752_2022_2_55
V. Andrey V. Yermolenko, Viktoria R. Makarova Generalized reaction method for a plate with an inclined base
https://doi.org/10.34130/1992-2752_2022_2_67
Andrey V. Yermolenko – Pitirim Sorokin Syktyvkar State University.
Viktoria R. Makarova – Pitirim Sorokin Syktyvkar State University.
Annotation. An effective way to solve problems on the interaction of plates and bases is the generalized reaction method. The presented article shows the application of the generalized reaction method to a cantilevered and rigidly fixed plate. The solution using the generalized reaction method is a system of iterated functions, the finding of which in a certain number of iterations will be reduced to solving the problem, which makes it possible to accurately and quickly determine the answer.
Keywords: plate, generalized reaction method, the Sophie Germain–Lagrange equation, contact reaction.
References
- Mikhailovskii E.I. Shkola mekhaniki akademika Novozhilova [The Novozhilov School of Mechanics]. Syktyvkar: Publishing House of the Syktyvkar University, 2005. 172 p.
- Chernykh K.F., Mikhailovskii E.I., Nikitenkov V.L. Ob odnoy vetvi nauchnoy shkoly Novozhilova (Novozhilov – Chernykh – Mikhaylovskiy – Nikitenkov) [About one branch of the scientific school
of Novozhilov (Novozhilov – Chernykh – Mikhailovsky – Nikitenkov)]. Syktyvkar: Publishing House of the Syktyvkar University, 2002.147 p. - Yermolenko A.V. Fundamentalizaciya universitetskogo matematicheskogo obrazovaniya : monografiya [Contact problems with free boundary: textbook]. Syktyvkar: Izd. Pitirim Sorokin, 2020. 1 opt. compact disc (CD-ROM). 105 p.
- Mikhailovsky E.I., Tarasov V.N. O sxodimosti metoda obobshhennoj reakcii v kontaktnyx zadachax so svobodnoj granicej [Convergence of the generalized reaction method in contact problems with a free boundary]. RAS. PMM. 1993. V. 57. Issue. 1. Pp. 128–136.
- Yermolenko A. V., Ladanova S. V. Kontaktnaya zadacha dlya dvux plastin s raznym zakrepleniem [Contact problem for two plates with different restraints]. Bulletin of the Syktyvkar University. Ser. 1: Mathematics. Mechanics. Informatics. 2020. Issue. 3 (36). Pp. 87-92.
- Yermolenko A. V., Osipov K. S. On using Python libraries to calculate plates. Vestnik Syktyvkarskogo universiteta. Ser. 1: Matematika. Mexanika. Informatika [Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics]. 2019, 4 (33), pp. 86–95.
(In Russ.)
For citation: Andrey V. Yermolenko., Makarova V. R. Generalized reaction method for a plate with an inclined base. Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika=Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022,
No. 2 (43), pp. 67−74. https://doi.org/10.34130/1992-2752_2022_2_67
Bulletin 1 (42) 2022
I. Chernov V. G. Non-cooperative antagonistic game with fuzzy estimates
https://doi.org/10.34130/1992-2752_2022_1_5
Vladimir G. Chernov – Vladimir State University, e-mail: vladimir.chernov44@mail.ru
Abstract. In the study of operations a significant place is occupied by problems, the formal model of which are antagonistic games. The classical methods of solving such games are based on the principle of “common knowledge”according to which the participants in a game have full information about possible solutions and their consequences. Studies are known in which information reflexivity of the participants of the game is allowed, i.e. their uncertainty in
assessing the situation requiring a decision is allowed. To formalize this uncertainty, it is proposed that the values of the elements of the payment matrix should be presented in the form of fuzzy numbers. The choice of the best solution is based on the conversion of fuzzy estimates of the consequences of possible solutions in the form of equivalent fuzzy sets with triangular membership functions.
Keywords: antagonistic game, payment matrix, fuzzy set, membership function
References
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For citation: Chernov V. G. Non-cooperative antagonistic game with fuzzy estimates. Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 1 (42), pp. 5−14. https://doi.org/10.34130/1992-2752_2022_1_5
II. Kotelina N. O., Pevnyi A. B. Quadratic problem of mathematical diagnostics
https://doi.org/10.34130/1992-2752_2022_1_15
Nadezhda O. Kotelina – Pitirim Sorokin Syktyvkar State University, nkotelina@gmail.com.
Aleksandr B. Pevnyi – Pitirim Sorokin Syktyvkar State University, pevnyi@syktsu.ru.
Abstract. Let m points be given in n-dimensional space, and G is the convex hull of these points. In the simplest problem of mathematical diagnostics, it is checked whether a point p belongs to the set G. In other words, if the coordinates of the points are signs of some disease, it is necessary to determine whether a new patient has a disease by the similarity of its signs in him and in patients with a confirmed diagnosis. In this paper, we attach its epsilon neighborhood to G and check whether p belongs to an extended set. To do this, we solve a quadratic programming problem in which we need to find the point of the set G closest to the point p in the Euclidean norm. In the article, we write out the necessary minimum conditions, obtaining a problem that can be solved using a modified simplex method with an additional condition for the bases.
Keywords: mathematical diagnostics, machine learning, modified simplex-method, quadratic programming
References
- Malozemov V. N., Cherneutsanu E. K. The simplest problem of mathematical diagnostics. Seminar «O & ML». Izbrannye doklady [Seminar «O & ML». Selected papers]. 2022-02-09. Available: http://www.apmath.spbu/oml/reps22.shtml#0209 (accessed: 04.04.2022).
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For citation: Kotelina N. O., Pevnyi A. B. Quadratic problem of mathematical diagnostics. Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 1 (42), pp. 15−22. https://doi.org/10.34130/1992-2752_2022_1_15
III. Maslyaev D. A. Current state of the higher school timetabling problem
https://doi.org/10.34130/1992-2752_2022_1_23
Denis A. Maslyaev – Komi republican academy of public service and administration, e-mail:
dmaslyaev@gmail.com
Abstract. The article contains a review of Russian and foreign literature sources of solving the high school timetabling problem. The distinctive features of the schedule for the university are listed, as well as the peculiarities of scheduling in Russia. The comparison of various software tools for automatic scheduling is given. The existing software is not enough to solve this problem. A feature of the task is the presence of “block”classes that need to be compactly placed in the schedule, a large number of training streams, and a lot of external part-timers. Methods and algorithms for solving similar problems are considered. The existing heuristic methods have their advantages and disadvantages. A conceptual statement of the problem is formulated in a verbal form in relation to a specific educational institution. Hard and soft restrictions are formulated. Violation of soft restrictions will affect the penalty function – the only target function. The author came to the conclusion that it is necessary to develop a set-theoretic mathematical model for the problem under consideration and a hybrid heuristic solution method that would combine the advantages of various heuristic methods and offset their disadvantages. The data for the problem must be presented in an aggregated form.
Keywords: timetabling problem, high school, combinatorial optimization, automatization, methods, heuristic, literature review, algorithm, conceptual model
References
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- Chavez-Bosquez O., Hernandez-Torruco J., Hernandez-Ocana B., Canul-Reich J. Modeling and Solving a Latin American University Course Timetabling Problem Instance. Mathematics. 2020, Vol. 8(10), 1833 p.
- Gafarov E. R. Software product for drawing up educational schedules of higher education institutions. XII Vserossijskoe soveshchanie po problemam upravleniya VSPU-2014 (16-19 iyulya, g. Moskva) [XII All-Russian Meeting on Management Problems VSPU-2014 (July 16-19, Moscow)]. M.: Institut problem upravleniya im. V. A. Trapeznikov RAN, 2014. Pp. 8804–8809.
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stepeni kandidata tekhnicheskih nauk. Novocherkassk, 2016. 20 p. - Sidorin A. B., Likucheva L. V., Dvoryakin A. M. Methods of automation of scheduling classes Part 1. Classical methods). Izvestiya Volgogradskogo gosudarstvennogo tekhnicheskogo universiteta [Proceedings of the Volgograd State Technical University]. 2009. No 12 (60). Pp. 116–120.
- Maslov M. G. Razrabotka modelej i algoritmov sostavleniya raspisanij v sistemah administrativno-organizacionnogo upravleniya [Development of models and algorithms for scheduling in administrative and organizational management systems] Avtoreferat dissertacii na soiskanie uchenoj stepeni kandidata tekhnicheskih nauk. M., 2004. 25 p.
- Sidorin A. B., Likucheva L. V., Dvoryakin A. M. Methods of automation of scheduling classes Part 2. Heuristic methods of optimization. Izvestiya Volgogradskogo gosudarstvennogo tekhnicheskogo universiteta [Proceedings of the Volgograd State Technical University] 2009. No 12 (60). Pp. 120–123.
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- Nizamova G. F. Matematicheskoe i programmnoe obespechenie sostavleniya raspisaniya uchebnyh zanyatij na osnove agregativnyh geneticheskih algoritmov [Mathematical and software for scheduling training sessions based on aggregate genetic algorithms]. Avtoreferat dissertacii na soiskanie uchenoj stepeni kandidata tekhnicheskih nauk. Ufa, 2006. 18 p.
- Skiena S. Algoritmy. Rukovodstvo po razrabotke [Algorithms. Development guide] BHV-Peterburg, 2014. 720 p.
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- Song T., Liu S., Tang X., Peng X., Chen M. An iterated search algorithm for the University Course Timetabling Problem. Applied Soft Computing, Vol. 68 (2018). Pp. 597–608.
- Podinovskij V. V. Idei i metody teorii vazhnosti kriteriev v mnogokriterial’nyh zadachah prinyatiya reshenij [Ideas and methods of the theory of criteria importance in multicriterial decision-making problems]. M.: Nauka,103 p.
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For citation: Maslyaev D. A. Current state of the higher school timetabling problem. Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 1 (42), pp. 23−40.
https://doi.org/10.34130/1992-2752_2022_1_23
IV. Golchevskiy Y.V., Shchukin N. Yu. Design and Development of a Service Web Configurator for Computer Assembly
https://doi.org/10.34130/1992-2752_2022_1_41
Yuriy V. Golchevskiy – Pitirim Sorokin Syktyvkar State University, e-mail: yurygol@mail.ru
Nikolay Yu. Shchukin – Mobile Solution LLC, e-mail: sedfar.08.09@mail.ru
Abstract. Thе paper presents a study of designing and implementing a service web configurator based on a configurator for computer assembly. The analysis of web configurators application and analog products is carried out. The specifics of the subject area are considered and the functional modules of the service with their goals and requirements are highlighted. The diagram of the web service main functional modules, the diagrams of the process of selecting components in the configurator, the database models, the interfaces of the developed product are provided.
Keywords: web configurator, computer assembly
References
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- Konfigurator PK – sobrat‘ komp‘yuter na zakaz. Sobrat‘ sistemny‘j blok v onlajn konfiguratore [PC configurator – to assemble a computer to order. Assemble the system unit in the online configurator]. Available at: https://www.citilink.ru/configurator/ (accessed 01.03.2022). (in Russ.)
- Sborka PK – DNS – internet-magazin cifrovoj i by‘tovoj texniki po dostupny‘m cenam [PC assembly – DNS – online store for digital and home appliances at affordable prices]. Available at: https://www.dns-shop.ru/configurator/ (accessed: 01.03.2022). (In Russ.)
- Sobrat‘ komp‘yuter onlajn s proverkoj sovmestimosti Konfigurator/sborka igrovogo PK [Assemble a computer online with a compatibility check Configurator/build a gaming PC]. Available at: https://www.ironbook.ru/constructor/ (accessed: 01.03.2022). (In Russ.)
- Shchukin N. Yu., Golchevskiy Yu. V. The logic of the software configurator at the stage of selecting compatible computer components // XXVIII godichnaya sessiya Uchenogo soveta SGU im. Pitirima Sorokina: Nacional‘naya konferenciya : sbornik statej [XXVIII annual session of the Academic Council of the Pitirim Sorokin Sykt. State Univ.: National conference: collection of articles: text. sci. electr. ed. Syktyvkar: Publishing House of Pitirim Sorokin Sykt. State Univ.] 2021, pp. 649–660. (In Russ.)
For citation: Golchevskiy Yu. V., Shchukin N. Yu. Design and Development of a Service Web Configurator for Computer Assembly. Bulletin of Syktyvkar University, Series 1: Mathematics.
Mechanics. Informatics, 2022, No. 1 (42), pp. 41−60. https://doi.org/10.34130/1992-2752_2022_1_41
V. Melnikov V. A., Yermolenko A. V. Development of XML-based Markup Language
https://doi.org/10.34130/1992-2752_2022_1_61
Vadim A. Melnikov – Pitirim Sorokin Syktyvkar State University
Andrey V. Yermolenko – Pitirim Sorokin Syktyvkar State University, ea74@list.ru
Abstract. Modern approaches in the field of software development assume not only the functionality of the product being developed, but also the convenience, clarity and familiarity of the interfaces. Today, the developed software can be used on various devices, with different configurations, and users may also need a different language to work with the software. To address the issue of universality in the field of 2D games, the approach used in the development of the user interface for the Sad Lion Engine is proposed. Within the framework of this approach, it is supposed to use the markup language Sad Lion Markup Language, the description and use of which is given in the article.
Keywords: user interfaces, C++, mobile development, markup languages
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For citation: Melnikov V. A., Yermolenko A. V. Development of XML-based Markup Language. Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 1 (42), pp. 61−73. https://doi.org/10.34130/1992-2752_2022_1_61
VI. Pavlova L. V. Methods of teaching elementary mathematics in preparation a mathematics teacher at a university
https://doi.org/10.34130/1992-2752_2022_1_74
Lydia V. Pavlova – Pskov State University, pavlovalida@mail.ru
Abstract. Today, the education system is rapidly undergoing changes that future teachers should be ready for. Consequently, their training at the university cannot remain the same as 10 or even 5 years ago and requires revision and adaptation to modern requirements and demands of society. The professional training of a future mathematics teacher involves subject and methodological training. At the same time, the quality of subject training at the university depends on the level of proficiency in school mathematics. However, many first-year students are experiencing a number of difficulties, which the researchers note and which were identified by us during the control work on the school mathematics course and the survey of first-year students of the Institute of Mathematical Modeling and Igropractic Pskov State University. The identified problems and difficulties were taken into account when developing the program of the discipline «Introductory Course of Mathematics», which is aimed at repeating and studying the material necessary for the successful study of the university course of mathematics. The article presents the methodology of teaching elementary mathematics (using the example of the section «Trigonometry») to future teachers of mathematics, the feature of which is the inclusion of methodological aspects in the learning process. This allows not only to form subject knowledge on trigonometry, but also to show students how to teach schoolchildren in modern conditions, for example, with distance or mixed learning format. The proposed method has shown positive results.
Keywords: introductory mathematics course, elementary mathematics, school mathematics course, distance learning course, independent study, trigonometry
References
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South Ural State Humanitarian Pedagogical University]. 2018. No. 8. Pp. 116–129. - Drobysheva I. V., Drobyshev Yu. A. The design model of the introductory course of mathematics. Matematicheskoe modelirovanie v ekonomike, upravlenii i obrazovanii : sbornik nauchny‘x statej po materialam III Mezhdunarodnoj nauchno-prakticheskoj konferencii [Mathematical modeling in economics, management and education. Collection of scientific articles based on the materials of the III International Scientific and Practical Conference]. 2017. Pp. 150–155. (In Russ.)
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scientific and practical conference]. 2020. Pp. 44–48. (In Russ.) - Kochegurnaya M. Yu. The use of distance learning in teaching the discipline «Elementarnaya matematika». [Information systems and technologies in modeling and management. Proceedings of the V International Scientific and Practical Conference. Editor-in-chief K. A. Makoveychuk.] 2020. Pp. 411–413.
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For citation: Pavlova L. V. Methods of teaching elementary mathematics in preparation a mathematics teacher at a university. Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 1 (42), pp. 74−89. https://doi.org/10.34130/1992-2752_2022_1_74
VII. Sotnikova O. A. ASLANOV RAMIZ MUTALLIM OGLY (ON THE 75TH ANNIVERSARY)
https://doi.org/10.34130/1992-2752_2022_1_90
Sotnikova Olga Alexandrovna – Pitirim Sorokin Syktyvkar State University
Abstract. The article is dedicated to Aslanov Ramiz, PhD in Physics and Mathematics, Doctor of pedagogical sciences, professor, corresponding member of the International Academy of Sciences of Pedagogical Education.
Keywords: Aslanov Ramiz
For citation: Sotnikova O. A. Aslanov Ramiz (on his 75th birthday). Bulletin of Syktyvkar University, Series 1: Mathematics. Mechanics. Informatics, 2022, No. 1 (42), pp. 90−94.
https://doi.org/10.34130/1992-2752_2022_1_90