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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">51121</article-id><article-id pub-id-type="edn">JWJLOJ</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Computer Science</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Информатика и вычислительная техника</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Analytical Dimensions Properties</article-title><trans-title-group xml:lang="ru"><trans-title>Свойства аналитических измерений</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Aslamov</surname><given-names>E. B.</given-names></name><name xml:lang="ru"><surname>Асламов</surname><given-names>Е. Б.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Viskov</surname><given-names>A. V.</given-names></name><name xml:lang="ru"><surname>Висков</surname><given-names>А. В.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Fomin</surname><given-names>M. B.</given-names></name><name xml:lang="ru"><surname>Фомин</surname><given-names>М. Б.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples' Friendship University of Russia</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2007-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2007</year></pub-date><issue>1-2</issue><issue-title xml:lang="en">NO12 (2007)</issue-title><issue-title xml:lang="ru">№12 (2007)</issue-title><fpage>46</fpage><lpage>52</lpage><history><date date-type="received" iso-8601-date="2026-07-08"><day>08</day><month>07</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2007, Aslamov E.B., Viskov A.V., Fomin M.B.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2007, Асламов Е.Б., Висков А.В., Фомин М.Б.</copyright-statement><copyright-year>2007</copyright-year><copyright-holder xml:lang="en">Aslamov E.B., Viskov A.V., Fomin M.B.</copyright-holder><copyright-holder xml:lang="ru">Асламов Е.Б., Висков А.В., Фомин М.Б.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/51121">https://journals.rudn.ru/miph/article/view/51121</self-uri><abstract xml:lang="en">In this paper, we propose a formal definition for an analytical   dimension. We formulate and prove some properties of an analytical   dimension within the proposed formal definition.</abstract><trans-abstract xml:lang="ru">В данной статье рассматривается формальное определение аналитического  измерения, исходя из анализа которого сформулированы и доказаны некоторые  свойства аналитических измерений</trans-abstract><kwd-group xml:lang="en"><kwd>OLAP</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>многомерные модели данных</kwd><kwd>аналитическое измерение</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>PartWhole relations in Object-centered systems: an overview / A. Artale, E. Franconi, N. Guarino, L. Pazzi // Data and Knowledge Engineering (DKE). - Vol. 20, No 3. - 1996. - Pp. 347-383.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Gerstl P., Pribbenow S. 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