Bulletin 2 (35) 2020

Issue 2 (35) 2020

I Cheredov V. N. Entropy model of crystals of hexagonal ice

Text

A refined entropy model of hexagonal ice crystals is developed, including an interpretation of the entropy of hindered translations and hindered vibrations on the basis of the Einstein model. The temperature dependence of the entropy in the refined entropy model of hexagonal ice crystals is studied. A comparison of the proposed model with the complete and modified entropy models of ice is made.

Comparative features of the temperature curves of thermodynamic and spectroscopic entropy for the refined entropy model of ice crystals, modified and known, were studied. It is shown that the proposed refined entropy model describes the temperature dependence of the entropy of hexagonal ice crystals with greater accuracy in comparison with known models.

Keywords: Thermal vibrations, entropy, lattice of a solid, crystals, hexagonal ice.

References:

1. Landau L. D., Lifshitz E. M. Statisticheskaya fizika (Statistical physics), Moscow: Fizmatlit, 2010, part 1, 616 p.

2. Eisenberg D., Kautsman V. Struktura i svoystva vody (Structure and properties of water), Moscow: Direct-Media, 2012, 284 p.

3. Enochovich A. S. Spravochnik po fizike i tekhnike (Reference book on physics and techniques), Moscow: Prosveshenie, 1989, 224 p.

4. Zatsepina G. N. Fizicheskiye svoystva i struktura vody (Physical properties and structure of water), Moscow: Moscow State University, 1998, 184 p.

5. Giauque W. F., Stout J. W. The entropy of water and the third law of thermodynamics. The heat capacity of ice from 15 to 273°K, Journal of the American Chemical Society, 1936, V. 58, pp. 1144-1150.

6. Dorsey N. E. Properties of ordinary Watter-Suvstance, New York: Reinhold Publishing Corporation, 1940, 673 p.

7. McDougall D. P., Giauque W. F. The production of temperatures below 1° A. The heat capacities of water, gadolinium nitrobenzene sulfonate heptahydrate and gadolinium anthraquinone sulfonate, Journal of the American Chemical Society, 1936, V. 58, pp. 1032-1037.

8. Bertie J. E., Whalley E. Optical Spectra of Orientationally Disordered Crystals. II. Infrared Spectrum of Ice Ih and Ice Ic from 360 to 50 cm−1, The Journal of Chemical Physics, 1967, V. 46, 4, pp. 1271-1281.

9. Wang Kuo-Ting, Brewster M. Q. An Intermolecular Vibration Model for Lattice Ice, International Journal of Thermodynamics, 2010, V. 13, 2, pp. 51-57.

10. Gmurman V. E. Teoriya veroyatnostey i matematicheskaya statistika (Probability Theory and Mathematical Statistics), Moscow: Vysshaya Shkola, 2004, 479 p.

For citation: Cheredov V. N. Entropy model of crystals of hexagonal ice, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 5-14.

II Petrakov А. Р., Cheredov V. N. Refined modified thermodynamic model of crystals of hexagonal ice

Text

The heat capacity of crystals of hexagonal ice and its dependence on temperature in a modified modified thermodynamic ice are studied. A refined modified thermodynamic model of ice is developed, based on the interpretation of the heat capacity of hindered translations and inhibited rotations on the basis of the Einstein model. A comparison of the proposed model with known thermodynamic ice models is made.

The comparative features of the temperature curves of the heat capacity for the proposed model, as well as the complete and modified by the thermodynamic models of ice crystals are studied. It is shown that the proposed refined modified thermodynamic model describes the temperature curve of the heat capacity of hexagonal ice crystals with greater accuracy in comparison with known models.

Keywords: thermal oscillations, heat capacity, lattice of crystal, hexagonal ice.

References:

1. Landau L. D., Lifshitz E. M. Statisticheskaya fizika (Statistical physics) Part 1. Moscow: Fizmatlit, 2010, 616 p.

2. Eisenberg D., Kautsman V. Struktura i svoystva vody (Structure and properties of water), Moscow: Direct-Media, 2012, 284 p.

3. Enochovich A. S. Spravochnik po fizike i tekhnike (Reference book on physics and techniques), Moscow: Prosveshenie, 1989, 224 p.

4. Zatsepina G. N. Fizicheskiye svoystva i struktura vody (Physical properties and structure of water), Moscow: Moscow State University, 1998, 184 p.

5. Giauque W. F., Stout J. W. The entropy of water and the third law of thermodynamics. The heat capacity of ice from 15 to 273°K, Journal of the American Chemical Society, 1936, V. 58, pp. 1144-1150.

6. Dorsey N. E. Properties of ordinary Waiter-Suvstance, New York: Reinhold Publishing Corporation, 1940, 673 p.

7. McDougall D. P., Giauque W. F. The production of temperatures below 1° A. The heat capacities of water, gadolinium nitrobenzene sulfonate heptahydrate and gadolinium anthraquinone sulfonate, Journal of the American Chemical Society, 1936, V. 58, pp. 1032¬1037.

8. Bertie J. E., Whalley E. Optical Spectra of Orientationally Disordered Crystals. II. Infrared Spectrum of Ice Ih and Ice Ic from 360 to 50 cm?1, The Journal of Chemical Physics, 1967, V. 46, > 4, pp. 1271-1281.

9. Wang Kuo-Ting, Brewster M. Q. An Intermolecular Vibration Model for Lattice Ice, International Journal of Thermodynamics, 2010, V. 13, № 2, pp. 51-57.

For citation: Petrakov A. P., Cheredov V. N. Refined modified thermodynamic model of crystals of hexagonal ice, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 15-24.

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III Golchevskiy Yu. V., Yermolenko A. V. The relevance of using microservices in the development of information systems

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The use of microservice architecture in application development is a popular approach to creating modern applications. It allows you to seamlessly carry out horizontal scaling of applications and assigns the development team full responsibility for the developed service. According to the authors of the article, at the stage of training future IT specialists, it is necessary to pay special attention to the use of various development architectures, it is necessary to explain the advantages and disadvantages of various architectures, and to develop microservice development skills using various approaches.

Keywords: service-oriented architecture, monolithic architecture, microservices, flask.

References:

1. Koshy, R., Padalkar, A., Nikam, N., Jain, V. Easy verdict: Digital assistant to resolve criminal litigation, 10th International Conference on Advances in Computing, Control and Telecommunication Technologies, ACT 2019, pp. 17-23.

2. Golchevskiy Yu., Yermolenko A. Knowledge Base as an Integral Attribute of a Modern Company, International Conference on Economics, Management and Technologies (ICEMT 2020). Advances in Economics, Business and Management Research, Atlantis Press, Vol. 139, pp. 548-552.

3. Kholodok D. A., Presnyatsky V. Yu., Letsuk R. A. Mikroservisy kak arkhitekturnyy stiT (Microservices as architectural style), Education and science in Russia and abroad, no 14 (62), 2019, pp. 214-218.

4. Platonov Yu. G. Analiz perspektiv perekhoda informatsionnykh sistem na servisno-oriyentirovannuyu arkhitekturu (Analysis of the prospects for the transition of information systems to a service- oriented architecture), Problems of Informatics, 2011. no 4 (12), pp. 56-65.

5. Kostrov I. A., Kovshov E. E. Servisno-oriyentirovannaya arkhitektura prilozheniy как sredstvo organizatsii raspredelennykh sistem v srede slabostrukturirovannykh dannykh (Service-oriented architecture asan approachto building distributed systems in the environment of semi-structured data), Vestnik MSTU «STANKIN», 2012, no 3, pp. 140-144.

6. Jamshidi P., Lewis D., Pal K., Mendoncha N., Tilkov S. Mikroservisy: proydennyy put’ i dal’neyshiye tseli (Microservices: the path traveled and future goals), Open Systems. DBMS, 2018, no 3, pp. 17-21.

7. Kalendarev A. Sovremennaya veb-arkhitektura. Ot monolita к mikroservisam (Modern web architecture. From monolith to microservices), System Administrator, 2017. no 1-2(170-171), pp. 80-83.

8. Schaffer E., Mayr A., Fuchs J., Sjarov M., Vorndran J., Franke J. Microservice-based architecture for engineering tools enabling a collaborative multi-user configuration of robot-based automation solutions, Procedia CIRP 86, 2020, pp. 86-91.

9. Larrucea X., Santamaria I., Colomo-Palacio R., Ebert Ch. Mikroservisy (Microservices), Open Systems. DBMS, 2018, no 3, pp. 10-12.

10. Sheludko V. M. Osnovy programmirovaniya na yazyke vysokogo urovnya Bython: uchebnoye posobiye (Fundamentals of programming in the high-level Python language : textbook), Rostov-on-Don, Taganrog: Southern Federal University, 2017. 147 p.

11. Yermolenko A. V., Osipov K. S. О primenenii bibliotek Python dlya rascheta plastin (On using Python libraries to calculate plates), Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2019, 4 (33), pp. 86-95.

12. Golchevskiy Yu. V. Severin P. A. Bezopasnoye Web-programmi- rovaniye: bezopasnost’ CMS : uchebnoye posobiye (Secure Web Programming: CMS Security : textbook), Syktyvkar, Syktyvkar State Univ., 2013.

13. Golchevskiy Yu. V., Surguladze A. M. Opyt razrabotki i ekspluatacii sistemy onlajn priema elektronnyh zayavlenij ot abiturientov (Developing and operating experience in online admission system for prospective university students), Open Education, 2012, no 6(95), pp. 57-63.

14. Babenko V. V., Golchevskiy Yu. V. Kontseptsiya informacionnogo prostranstva kafedry VUZa na osnove Web-portala (Concept of web¬based university department information space), Open Education, 2014, no 2(103), pp. 46-50.

For citation: Golchevskiy Yu. V., Yermolenko A. V. The relevance of using microservices in the development of information systems, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 25-36.

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IV Nevekin D. A., Prokopenko N. U. Development of a decision support system on the basis of analytical platform Loginom for effective management of marketing and customer analytics

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The article shows the need to use specialized software and modern intelligent methods in purpose to solve client database segmentation problems. Data mining techniques, particularly cluster analysis, enable to divide all customers into appropriate number of segmentation in accordance with their similarities. Market segmentation is very useful for identification of customers’ different needs.

Keywords: decision support system; analytical platform Loginom, customer analytics, segmentation decision, intellectual methods of data analysis, Data Mining.

References:

1. Kitchens B., Dobolyi D., Li J., Abbasi A. Advanced customer analytics: Strategic value through integration of relationship-oriented big data, Taylor & Francis, Journal of Management, 2018, Vol. 35, Issue 2, pp. 540-574.

2. Mbugua A. W., Omondi A. O. An Application of association rule learning in recommender systems for e-Commerce and its effect on marketing, IEEE Pan African Conference on Science, Computing, and Telecommunications, 2017.

3. Decision support systems, Elsevier Science Publishing Company, Inc.ISSN: 0167-9236eISSN: 1873-579.

4. Katsko I. A., Paklin N. B. Praktikum po analizu dannykh na komp’yutere (Workshop on data analysis on a computer), M .: KolosS, 2009, 278 p.

5. Paklin N. В., Oreshkov V. I. Biznes-analitika: ot dannykh k znaniyam (Business analytics: from data to knowledge), St. Petersburg: Peter, 2013, 624 p.

6. Group RFM analysis as a novel framework to discover better customer consumption behavior, Hui-Chu Chang, Hsiao-Ping Tsai, Taiwan: Elsevier, 2011, 15 p.

7. Barseghyan A. A., Kupriyanov M. S., Elizarov S. I. Analiz dannykh i protsessov: ucheb. posobiye (Analysis of data and processes: textbook, allowance), 3rd ed., Revised and add, SPb.: BHV- Petersburg, 2009, 512 p.

8. Liu J., Liao X., Huang W., Liao X. Market segmentation: A multiple criteria approach combining preference analysis and segmentation decision, Elsevier: Omega, Volume 83, 2019, pp. 1-13.

9. Chandan Parsad, Sai Vijay T., Harvinder Singh, Sanjeev Prashar. Segmenting Indian shoppers on mall attractiveness factors, International Journal of Services Technology and Management, Vol. 25, 2019.

For citation: Nevekin D. A., Prokopenko N. U. Development of a decision support system on the basis of analytical platform Loginom for effective management of marketing and customer analytics, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 37-48.

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V Ushakov D. A. Development of software for checking links to electronic publications in work programs of academic subjects

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The paper describes the automation of checking the links to electronic library systems correctness process in the work programs of academic subjects.

Keywords: work program of academic subject, electronic library systems, automation, algorithm.

References:

1. Golchevskiy Yu. V., Surguladze A. M. Opyt razrabotki i ekspluatacii sistemy onlajn priema elektronnyh zayavlenij ot abiturientov (Developing and operating experience in online admission system for prospective university students), Open Education, no 6(95), 2012, pp. 57-63.

2. Babenko V. V., Golchevskiy Yu. V. Kontseptsiya informacionnogo prostranstva kafedry VUZa na osnove Web-portala (Concept of web-based university department information space), Open Education, no 2(103), 2014, pp. 46-50.

3. Golchevskiy Yu. V., Vinogradov I. M. Opyt razrabotki Internet-servisa raspisaniya uchebnykh zanyatij (Schedule internet-service developing experience), Informatization of Education and Science, no 1, 2016, pp. 16-25.

4. Shalamkov S. A., Starichkova J. V. Opyt razrabotki i vnedreniya modulya avtomatizacii processa sozdaniya i utverzhdeniya programm uchebnyh disciplin v ramkah informacionnoj obrazovatel’noj sredy podderzhki osnovnogo obrazovatel’nogo processa (Experience in development and implementation of the module automate the process of creating and approving programs of study within the information educational environment of support of the basic educational process), Bulletin of the Peoples’ Friendship University of Russia. Series: Informatization of Education, no 4, 2015, pp. 67-76.

5. Maruhlenko A. L., Tanygin M. O., Maruhlenko I. I., Kononov A. S. Avtomatizatsiya sistemy formirovaniya rabochikh programm uchebnykh distsiplin (Automation of the system of working programs of academic disciplines formation), Infocommunications and space technologies: state, problems and solutions. Materials of the 1st AllRussian Scientific and Practical Conference, Part 1, 2017, Southwes¬tern State University, Kursk, pp. 202-208.

6. Safonov E. I., Chernavskiy A. Yu. Avtomatizatsiya sostavleniya rabochikh programm uchebnykh distsiplin (Automation of compilation of working programs of educational disciplines), Bulletin of the Yugra State University, no 2 (53), 2019, pp. 33-40.

7. COM Interop Part 1: C# Client Tutorial. URL: https://msdn.micro- soft.com/en-us/ie/aa645736%28v=vs.94%29?f=255MSPPError= -2147217396 (date of the application: 19.04.2020).

8. NPOI. URL: https://github.com/dotnetcore/NPOI (date of the ap¬plication: 19.04.2020).

9. Spire.Doc for .NET. URL: https://www.e-iceblue.com/Introduce/word- for-net-introduce.html#.XeQEpMzaUk (date of the application: 19.04.2020).

10. Open XML SDK 2.5 for Office. URL: https://docs.microsoft.com/ru- ru/office/open-xml/open-xml-sdk (date of the application: 19.04.2020).

For citation: Ushakov D. A. Development of software for checking links to electronic publications in work programs of academic subjects, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 49-58.

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VI Fedirko S. N. Data management technologies in designing a decision making support system

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Information management and data management technologies are consi¬dered during the development of specialized decision support systems based on free software.

Keywords: DSS, safety, risks, ITIL, information management.

References:

1. Vishnyakov Y. D., Radaev N. N. Obshchaya teoriya riskov (General risk theory), M.: Publishing Center «Academy», 2008, 368 p.

2. Clark W. Grafiki Gantta. Uchot i planirovaniye raboty (Gantt Charts. Accounting and work planning), Moscow: Control Engineering, 1931.

3. The Concise Definition of The Zachman Framework by: John A. Zachman [Electronic resource], Zachman International, URL: https://zachman.com/about-the-zachman-framework (date of the ap-plication: 20.12.2019).

4. MySQL [Electronic resource], MySQL. URL: https://www.mysql.com (date of the application: 20.12.2019).

5. Bank dannykh ugroz bezopasnosti informatsii (Databank of information security threats) [Electronic resource], URL: https://bdu.fstec.ru (date of the application: 20.12.2019).

6. GOST R ISO / MEK 27005-2010. Informatsionnaya tekhnologiya. Melody i sredstva obespecheniya bezopasnosti. Menedzhment riska informatsionnoy bezopasnosti (GOST R ISO / IEC 27005-2010. Information technology. Security methods and tools. Information Security Risk Management), M.: Standartinform, 2011, 51 p.

7. The Open Graph Viz Platform [Electronic resource], Gephi. URL: https://gephi.org (date of the application: 20.12.2019).

8. Welling L., Thomson L. Razrabotka veb-prilozheniy s pomoshch’yu PHP i MySQL (Web Application Development Using PHP and MySQL), M.: Williams, 2013, 848 p.

9. Bootstrap. [Electronic resource], Bootstrap. URL: https://getboot- strap.com (date of the application: 20.12.2019).

10. Network Security Software [Electronic resource], Capterra. URL: https://www.capterra.com/network-security-software (date of the application: 20.12.2019).

11. Laboratoriya bezopasnosti (Security Laboratory) [Electronic resource], Brevis. URL: http://www.brevis-lab.ru/price (date of the application: 20.12.2019).

For citation: Fedirko S. N. Data management technologies in designing a decision making support system, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 59-68.

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VII Dorofeev S. N. UDE as a basis for improving the quality of mathematical knowledge of students when studying the topic «parallelism of straight lines on a plane»

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This article examines the problem of improving the quality of mathematical education of primary school students. It is proposed to use the method of consolidation of didactic units developed by the famous Russian scientist P. M. Erdniev as the leading component that determines the increase in the level of mathematical training of schoolchildren and contributes to its quality. The effectiveness of this method is justified and an ESSAY on the topic «Parallelism of straight lines on the plane» is proposed, which contributes to a more effective assimilation of this topic.

Keywords: quality of geometric education of students, consolidation of didactic units, basics of teaching methods, motivation to learn.

References:

1. Erdniev P. M., Erdniev В. P. Ukrupneniye didakticheskikh yedinits v obuchenii matematike: kn. dlya uchitelya (Consolidation of didactic units in teaching mathematics: book for teachers), M.: Education, 1986, 255 p.

2. Erdniev P. M. Ukrupneniye didakticheskikh yedinits kak tekhnologiya obucheniya (Consolidation of didactic units as a training technology), M.: Education, in 2 volumes, 1992, 257 p.

3. Dorofeev S. N. UDE v podgotovke starsheklassnikov к tvorcheskoy matematicheskoy deyatel’nosti (UDE in the preparation of high school students for creative mathematical activity), Azimut of scientific research: psychology and pedagogy, Institute of directed education (Tolyatti), T. 5, № 4(17), 2016, pp. 118-121.

4. Dorofeev S. N. UDE как metod podgotovki budushchikh bakalavrov pedagogicheskogo obrazovaniya к professional’noy deyatel’nosti (UDE as a method of preparing future bachelors of pedagogical education for professional activity), Humanities and education, Mordgpi im. M. E. Evseviev, № 1, 2013, pp. 14-17.

For citation: Dorofeev S. N. Ude as a basis for improving the quality of mathematical knowledge of students when studying the topic «parallelism of straight lines on a plane», Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 69-77.

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VIII Odyniec W. P.On two mathematicians from Leningrad who served on the Artillery and perished in 1942-1943

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The life and work of two mathematicians from Leningrad, N.M. Vainberg and P. O. Kostelyants, who became artillerists during WWII and perished on 1942 and 1943 respectively, are briefly described.

Keywords: braid, Hausdorff space, shape of a base of the floating cylinder, simple definition of a measure space, N. Vainberg, B. Kostelyanec.

References:

1. Matematika v SSSR za sorok let 1917-1957 (The USSR Mathematics for forty years: 1917-1947) Bibliografiya, vol. 2, M.: Fizmatlit, 1959, 819 p.

2. Kniga pamyati Leningradskogo Sankt-Peterburgskogo universiteta 1941-1945 (The Book of Memory of Leningrad — St. Petersburg University 1941-1945), St. Petersburg: SPbGU, 2000, Vyp. 2, 200 p.

3. Matematicheskiy Peterburg. Istoriya, nauka, dostoprimechatel’nosti: Spravochnik-putevoditel’ (Mathematical Petersburg. History, Science, Sight. Gide- book), SPb.: Obrazovatelnye proekty, 2018, 336 p.

4. Matematika v SSSR za tridtsat’ let 1917-1947 (The USSR Mathema¬tics for thirty years: 1917-1947), M-L: GITTL, 1948, 1043 p.

5. Mashko V. V. Bulak-Balakhovich Stanislav Nikodimovich (Bulak- Balachowicz Stanislaw Nikodimowicz) (1883-1940), Novyi Istoricheski Vestnik, № 2 (7), 2002, 97-112 p.

6. Kniga pamyati Leningradskogo Sankt-Peterburgskogo universiteta 1941-1945 (The Book of Memory of Leningrad- St. Petersburg University 1941-1945), St. Petersburg: SPbGU, 1995, Vyp. 1, 352 p.

7. Aleksandrov A. D. Geometriya v Leningradskom universitete (Geometry in Leningrad University), Vestnik Leningradskogo Univer¬siteta, № 11, 1947, pp. 124-149.

8. Zalgaller V. A. Byt voyny (War life), Vestnik, > 11, Zhurnal online, 2001, URL: http://vestnik.com/issues/2001/0522/win/zalgaller.htm (date of the application: 29.01.20).

For citation: Odyniec W. P. On two mathematicians from Leningrad who served on the Artillery and perished in 1942-1943, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 78-84.

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IX Yermolenko А. V., Kozhagel’diev N. V. Graphoanalytical method for calculating an equal resistance reservoir

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The calculation of the shape of the reservoir of equal resistance based on the graphoanalytical method for determining the shape of a drop is given. То conduct a numerical experiment, a program was written in Python using the mathematical library matplotlib.

Keywords: shell, droplet form, reservoir, graphoanalytical method.

References:

1. Andreev L. V. V mire obolochek: Ot zhivoj kletki do kosmicheskogo korablya (In the world of shells: From a living cell to a spaceship), M.: Znanie, 1986, 176 p.

2. Novozhilov V. V., CHernyh K. F., Mikhailovskii E. I. Linejnaya teoriya tonkih obolochek (Linear theory of thin shells), L.: Politekhnika, 1991, 656 p.

3. Gordon J. Konstrukcii, Hi Pochemu ne lomayutsya veshchi (Structure, or why things do not break), M.: Mir, 1980, 390 p.

4. Anikin D. Yu., Filonov M. R. Algoritm rascheta poverhnostnogo natyazheniya rasplavov metodom minimizacii otklonenij eksperimen- tal’nyh i teoreticheskih prohlej lezhashchej kapli (Algorithm for calculating the surface tension of melts by minimizing deviations of the experimental and theoretical profiles of a lying drop), Cvetnye metally, 2004, 1, pp. 77-80.

5. Yermolenko A. V., Osipov K. S. О primenenii bibliotek Python dlya rascheta plastin (On using Python libraries to calculate plates), Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2019, 4 (33), pp. 86-95.

For citation: Yermolenko А. V., Kozhagel’diev N. V. Graphoanalytical method for calculating an equal resistance reservoir, Bulletin of Syktyvkar University. Series 1: Mathematics. Mechanics. Informatics, 2020, 2 (35), pp. 85-91.

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