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Development of the Semantic Space ‘‘Mathematics’’ by Integrating a Subspace of Its Applied Area

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The article focus on problem of developing a semantic library by adding a new applied scientific field. The addition to the main content of the library is built using publications of a journal on applied issues of composite materials. The description of the original subject area is expanded. Universal Decimal Classification and Mathematics Subject Classification articles are detailed by corresponding to the local subject area. At the same time, the tasks of adding terms to the thesaurus, building a reference corpus of the applied subject area of mathematics, and creating a custom interface are solved. Formulas and equations of the local subject area are semantically linked to the main content of the library. The main advantage of using semantic libraries for this kind of tasks is to enrich the existing knowledge base of the library and identify relationships in the data. To study these problems, it is necessary to interact with subject matter experts and use modern tools and methods for natural language processing, machine learning, and approaches to knowledge representation. Representation of knowledge in the form of ontologies and thesauri connects the definitions of key concepts of the subject area not only within the same scientific school, but also allows experts and users to ‘‘communicate’’ in the same language. As a global thesaurus of the subject area, terminologically delineating its boundaries, the data of the Mathematical Encyclopedia, a Soviet encyclopedic edition integrated into the library, are used. Integration of data within the library allows expanding the description of subject areas related to the applications of mathematics in interdisciplinary research and technology. On the example of one of the applied sections of problems of mathematical physics, the procedure is shown for including arrays of publications of a specialized journal into the ontology of a semantic library. The ontology is based on available data sources, library content, and specific dictionaries and thesauri. The proposed approach will allow using the content of the semantic library ‘‘Mathematics’’ for scientific research, minimizing the process of searching for information in the local subject area, without losing more general results contained outside this area.

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This work was supported by budget topics of the Ministry of Science and Higher Education of the Russian Federation ‘‘Mathematical methods for data analysis and forecasting.’’

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Correspondence to O. M. Ataeva, V. A. Serebryakov or N. P. Tuchkova.

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(Submitted by A. M. Elizarov)

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Ataeva, O.M., Serebryakov, V.A. & Tuchkova, N.P. Development of the Semantic Space ‘‘Mathematics’’ by Integrating a Subspace of Its Applied Area. Lobachevskii J Math 43, 3435–3446 (2022).

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