Abstract
The paper describes the approaches and methods to create a semantic library within the ‘‘Mathematics’’ subject domain. The theoretical background of the research involves the approach based on ontologies used when creating semantic libraries. The paper suggests a step-by-step description of the general ontology within the subject domain. The results obtained are well-grounded and contribute to distinct data integration.
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REFERENCES
A. B. Antopol’skii, N. E. Kalenov, V. A. Serebryakov, and A. N. Sotnikov, ‘‘Common digital space of scientific knowledge,’’ Vestn. Ross. Akad. Nauk 89, 728–735 (2019).
A. B. Antopol’skii et al., ‘‘The principles of construction and structure of a unified digital space of scientific knowledge (UDSSK),’’ Nauch.-Tekh. Inform., Ser. 1, No. 4, 9–17 (2020).
N. I. Gubanov, N. N. Gubanov, and A. E. Volkov, ‘‘Criteria of the verity and scientific character of knowledge,’’ Filos. Ob-vo 3 (80), 78–95 (2016).
V. V. Il’in and A. T. Kalinkin, The Nature of Science: An Epistemological Analysis (Vysshaya Shkola, Moscow, 1985; Progress Books, 1988).
O. M. Ataeva, N. E. Kalenov, and V. A. Serebryakov, ‘‘Ontological approach to the description of a common digital space of scientific knowledge,’’ Ross. Tsifr. Bibl. Zh. 24 (1), 3–19 (2021).
A. B. Antopol’skii, O. M. Ataeva, and V. A. Serebryakov, ‘‘Environment of integration of data of scientific libraries, archives and museums LIBMETA,’’ Inform. Resursy Ross. 5, 8–12 (2012).
V. A. Serebryakov and O. M. Ataeva, ‘‘The basic concepts of a semantic libraries formal model and its integration process formalization,’’ Program. Prod. Sist. 4, 180–187 (2015).
O. M. Ataeva and V. A. Serebryakov, ‘‘The basic concepts of a semantic libraries formal model and its integration process formalization,’’ Program. Prod. Sist. 11 (2), 85–100 (2017).
O. M. Ataeva, ‘‘LibMet semantic library information model,’’ Program. Prod. Sist. 4, 36–44 (2016).
O. M. Ataeva and V. A. Serebryakov, ‘‘LibMet digital semantic library ontology,’’ Inform. Primen. 12, 2–10 (2018).
A. M. Elizarov, A. V. Kirillovich, E. K. Lipachev, A. B. Zhizhchenko, and N. G. Zhil’tsov, ‘‘Mathematical knowledge ontologies and recommender systems for collections of documents in physics and mathematics,’’ Dokl. Math. 93, 231–233 (2016). doi 10.1134/S1064562416020174
A. A. Muromskii and N. P. Tuchkova, About the Thesaurus for the Subject Area ’Ordinary Differential Equations’ (CCAS RAS, Moscow, 2004) [in Russian].
O. Ataeva, V. Serebryakov, and E. Sinelnikova, ‘‘Thesaurus and ontology building for semantic library based on mathematical encyclopedia,’’ in Proceedings of the 21st International Conference on Data Analytics and Management in Data Intensive Domains (DAMDID/RCDL 2019), CEUR Workshop 2523, 148–157 (2019).
Mathematical Encyclopedy, Ed. by I. M. Vinogradov (Sov. Entsikl., Moscow, 1977) [in Russian].
Mathematics Subject Classification. http://msc2010.org/mediawiki/index.php?title=MSC2010. Accessed 2021.
Dbpedia. https://www.dbpedia.org/. Accessed 2021.
Math-Net.Ru. http://www.mathnet.ru. Accessed 2021.
Encyclopedia of Mathematics. https://www.encyclopediaofmath.org/index.php/Main_Page. Accessed 2021.
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions (Nauka, Moscow, 1983; Taylor Francis, London, 2002).
A. V. Vasil’ev, ‘‘Design pattern for enterprise Java applications built on responsive data models for scalability,’’ Tr. MFTI 5 (4), 96–101 (2013).
A. M. Elizarov, A. V. Kirillovich, E. K. Lipachev, and O. A. Nevzorova, ‘‘Mathematical knowledge management: Ontological models and digital technology,’’ CEUR Workshop Proc. 1752, 44–50 (2016).
F. M. Bikmuratov, Methods for Annotating Mathematical Texts (Moscow, 2018) [in Russian].
Le Hoaj and A. F. Tuzovskii, ‘‘Semantic annotation of documents in digital libraries,’’ Izv. Tomsk. Politekh. Univ. 322 (5), 157–164 (2013).
E. Oren, K. H. Moller, S. Scerri, S. Handschuh, and M. Sintek, What are Semantic Annotations? http://www.siegfriedhandschuh.net/pub/2006/whatissemannot2006.pdf. Accessed 2021.
A. M. Elizarov, E. K. Lipachev, and M. A. Malakhal’tsev, Fundamentals of MathML. Submission of Mathematical Texts to the Internet (Kazan, 2008) [in Russian].
Math To Web and User‘s Guide. http://www.mathtoweb.com/cgi-bin/mathtoweb_users_guide.pl. Accessed 2021.
M. M. Smirnov, Equations of Mixed Type, Vol. 51 of American Translation of the Mathematical Monografs (Am. Math. Soc., Philadelphia, 1988).
E. I. Moiseev, A. A. Muromskiy, and N. P. Tuchkova, Information Retrieval Thesaurus in the Subject Area: Ordinary Differential Equations (MAKS Press, Moscow, 2005) [in Russian].
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This work was supported by budget topics of the Ministry of Science and Higher Education of the Russian Federation and particular by the Russian Foundation for Basic Research, project no. 20-07-00324.
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Serebryakov, V.A., Ataeva, O.M. Ontology Based Approach to Modeling of the Subject Domain ‘‘Mathematics’’ in the Digital Library. Lobachevskii J Math 42, 1920–1934 (2021). https://doi.org/10.1134/S199508022108028X
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DOI: https://doi.org/10.1134/S199508022108028X