Bulletin 1 (46) 2023

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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

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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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  6. 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,
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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\

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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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  6. Shenoy A. How Are Convolutions Actually Performed Under the Hood. Available at: https://towardsdatascience.com/howare-convolutions-actually-performed-under-the-hood-226523ce7fbf (accessed: 07.02.2023).

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

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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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  2. Golchevskiy Yu. V., Severin P. A. Cryptographic Algorithms Optimization by Means of Assembly Inserts in Integer Division. Izvestiya TulGU. Tekhnicheskiye nauki [News of TulGU. Technical sciences]. 2013, vol. 3, pp. 295–301. (In Russ.)
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  26. 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

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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

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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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    46-2016-april/kompyuternaya-grafika-osnova-geometro-graficheskojpodgotovki (accessed: 07.03.2023). doi: 10.18454/IRJ.2016.46.298 (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

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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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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

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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.

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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

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