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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">ellibs</journal-id><journal-title-group><journal-title xml:lang="ru">Электронные библиотеки</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Digital Libraries Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">1562-5419</issn><publisher><publisher-name>Казанский (Приволжский) федеральный университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26907/1562-5419-2023-26-2-154-202</article-id><article-id custom-type="elpub" pub-id-type="custom">ellibs-370</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Цифровая экосистема OntoMath как подход к построению пространства математических знаний</article-title><trans-title-group xml:lang="en"><trans-title>Digital Ecosystem OntoMath as an Approach to Building the Space of Mathematical Knowledge</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Елизаров</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Eizarov</surname><given-names>A. M.</given-names></name></name-alternatives><email xlink:type="simple">amelizarov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кириллович</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kirillovich</surname><given-names>A. V.</given-names></name></name-alternatives><email xlink:type="simple">alik.kirillovich@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Липачёв</surname><given-names>Е. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Lipachev</surname><given-names>E. K.</given-names></name></name-alternatives><email xlink:type="simple">elipachev@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Невзорова</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nevzorova</surname><given-names>O. A.</given-names></name></name-alternatives><email xlink:type="simple">onevzoro@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Казанский (Приволжский) Федеральный университет</institution></aff><aff xml:lang="en"><institution>Kazan (Volga region) Federal University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>28</day><month>04</month><year>2023</year></pub-date><volume>26</volume><issue>2</issue><elocation-id>154–202</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Елизаров А.М., Кириллович А.В., Липачёв Е.К., Невзорова О.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Елизаров А.М., Кириллович А.В., Липачёв Е.К., Невзорова О.А.</copyright-holder><copyright-holder xml:lang="en">Eizarov A.M., Kirillovich A.V., Lipachev E.K., Nevzorova O.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://ellibs.elpub.ru/jour/article/view/370">https://ellibs.elpub.ru/jour/article/view/370</self-uri><abstract><p>Представлены результаты по созданию методов управления математическим знанием в контексте цифровых математических библиотек. Программные инструменты, разработанные на основе этих методов, являются частью цифровой экосистемы OntoMath, в рамках которой осуществляется их взаимодействие. Приведено краткое описание архитектуры экосистемы OntoMath, выделены уровни предметных онтологий и внешних онтологий, а также уровень программных инструментов и сервисов. В отдельную категорию выделены семантические сервисы. Этим термином обозначены программные инструменты, в функционале которых используются запросы к предметным онтологиям для обеспечения управления объектами знаний. Даны общие описания разрабатываемых предметных онтологий: образовательной математической онтологии OntoMathEdu и онтологии профессиональной математики OntoMathPRO. Отражено развитие образовательной онтологии в направлении включения образовательных пререквизитных связей между классами. Среди программных инструментов цифровой экосистемы выделены сервисы поиска по математическим электронным коллекциям, сервис семантического аннотирования математических документов, инструменты семантической разметки образовательных математических документов, а также система автоматической генерации проверочных тестов по математическим образовательным дисциплинам.
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В рамках цифровой экосистемы OntoMath развиваются рекомендательные системы специального назначения. В текущей версии экосистемы представлены рекомендательная система формирования списка близких статей, основанная на онтологии OntoMathPRO, рекомендательная система назначения экспертов для поддержки процесса научного рецензирования и рекомендательные системы подбора предметных классификаторов УДК и кодов Mathematics Subject Classification для математических документов. Приведены также результаты, полученные в направлении создания фабрики метаданных цифровой библиотеки, включающей сервисы и инструменты извлечения, уточнения, пополнения и нормализации метаданных документов электронных математических коллекций. Отметим, что экосистема OntoMath разрабатывается как технологическая основа цифровой математической библиотеки Lobachevskii-DML.
</p></abstract><trans-abstract xml:lang="en"><p>The results on the creation of methods for managing mathematical knowledge in the context of digital mathematical libraries are presented. The software tools developed on the basis of these methods are part of the OntoMath digital ecosystem, within which they interact. A brief description of the architecture of the OntoMath ecosystem is given, the levels of subject ontologies and external ontologies are highlighted, as well as the level of software tools and services. Semantic services are separated into a separate category. This term denotes software tools, in the functionality of which queries to subject ontologies are used to ensure the management of knowledge objects. General descriptions of developed subject ontologies are given: educational mathematical ontology OntoMathEdu and ontology of professional mathematics OntoMathPRO. The development of educational ontology is reflected in the direction of including educational prerequisite links between classes. Among the software tools of the digital ecosystem, search services for mathematical electronic collections, a service for semantic annotation of mathematical documents, tools for semantic marking of educational mathematical documents, as well as a system for automatically generating testing tests in mathematical educational disciplines are highlighted. As part of the OntoMath digital ecosystem, special-purpose recommender systems are being developed. The current version of the ecosystem includes a recommender system for generating a list of related articles based on the OntoMathPRO ontology, a recommender system for appointing experts to support the scientific review process, and recommender systems for selecting subject classifiers UDC and Mathematics Subject Classification codes for mathematical documents. The results are also presented in the direction of creating a digital library metadata factory, which includes services and tools for extracting, refining, replenishing and normalizing the metadata of electronic mathematical collections. Note that the OntoMath ecosystem is being developed as the technological basis for the Lobachevskii Digital Mathematical Library.
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