Approaches to the organization of mathematical knowledge when forming subject thesauruses of various mathematics domains

Abstract

The subject areas related to science and their features are considered in this paper. An attempt has been made to single out common concepts for them. One of the features of the scientific fields of knowledge is that the described data structures are subject to frequent changes. The paper discusses the generalized model of the scientific domain, its originality, as well as its implementation in the search systems, notes their differences from the classical approaches to information retrieval in scientific data sets. The set of introduced concepts defines the generalized ontology of the scientific subject domain in this work. This ontology together with the data determines the space of scientific knowledge of the considering domain. When moving to the objective level of conceptualization, it becomes necessary to limit it within the specific field of science. A set of concepts used to describe this subject area at this level. Most often these terms are organized in the form of a thesaurus. The corresponding terms of the subject area are associated with concepts of domain. System LibMeta is a program implementation of the constructed model. The main task of this system is the creation of such an information system for scientific libraries that could take into account the diversity of different types of resources that can be stored in it and at the same time support the terminological description of any subject area. The domain of ordinary differential equations is chosen to demonstrate work with scientific information in this system.

Creation of Query Expansion Based on the Subject Domain Thesaurus in the Ontology of Knowledge of the Semantic Library

“…Особое значение имеет процесс расширения запроса при интеграции большого объема информации из различных ПО и распределенных источников. Имея онтологии ПО, можно организовать поиск с расширением запроса в различных направлениях, задаваемых цепочками семантических связей.В рамках разрабатываемой технологии на основе LibMeta[14] проводится интеграция данных из различных областей знаний, представленных в виде предметных онтологий. В частности, энциклопедические данные, интегрированные в систему, позволяют использовать ассоциативные связи терминов для расширения информационного запроса вплоть до обращения не только к смежным областям знаний.…”