{"id":"https://openalex.org/W4412484386","doi":"https://doi.org/10.33842/2313-125x-2025-30-3-11","title":"GEOMETRIC METHOD FOR CONSTRUCTING THE BASIS OF THE DISCRETE ELEMENT H32","display_name":"GEOMETRIC METHOD FOR CONSTRUCTING THE BASIS OF THE DISCRETE ELEMENT H32","publication_year":2025,"publication_date":"2025-06-30","ids":{"openalex":"https://openalex.org/W4412484386","doi":"https://doi.org/10.33842/2313-125x-2025-30-3-11"},"language":"en","primary_location":{"id":"doi:10.33842/2313-125x-2025-30-3-11","doi":"https://doi.org/10.33842/2313-125x-2025-30-3-11","is_oa":true,"landing_page_url":"https://doi.org/10.33842/2313-125x-2025-30-3-11","pdf_url":"https://magazine.mdpu.org.ua/index.php/spm/article/download/3367/3840","source":{"id":"https://openalex.org/S4210195553","display_name":"Modern problems of modeling","issn_l":"2313-125X","issn":["2313-125X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320951","host_organization_name":"Bogdan Chmelnitskiy Melitopol State Pedagogical University","host_organization_lineage":["https://openalex.org/P4310320951"],"host_organization_lineage_names":["Bogdan Chmelnitskiy Melitopol State Pedagogical University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern problems of modeling","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://magazine.mdpu.org.ua/index.php/spm/article/download/3367/3840","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071051039","display_name":"\u0406.\u041e. \u0410\u0421\u0422\u0406\u041e\u041d\u0415\u041d\u041a\u041e","orcid":"https://orcid.org/0000-0002-5831-6353","observed_orcids":["https://orcid.org/0000-0002-5831-6353"]},"institutions":[{"id":"https://openalex.org/I118493624","display_name":"Kherson National Technical University","ror":"https://ror.org/04trbj059","country_code":"UA","type":"education","lineage":["https://openalex.org/I118493624"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"I Astionenko","raw_affiliation_strings":["\u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442"],"raw_orcid":"https://orcid.org/0000-0002-5831-6353","affiliations":[{"raw_affiliation_string":"\u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442","institution_ids":["https://openalex.org/I118493624"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014867009","display_name":"Petro Guchek","orcid":"https://orcid.org/0000-0002-6110-6816","observed_orcids":["https://orcid.org/0000-0002-6110-6816"]},"institutions":[{"id":"https://openalex.org/I13779751","display_name":"Admiral Makarov National University of Shipbuilding","ror":"https://ror.org/04ymc1w90","country_code":"UA","type":"education","lineage":["https://openalex.org/I13779751"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"P Huchek","raw_affiliation_strings":["\u0415\u043a\u043e\u043d\u043e\u043c\u0456\u043a\u043e-\u0433\u0443\u043c\u0430\u043d\u0456\u0442\u0430\u0440\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0432 \u0412\u0430\u0440\u0448\u0430\u0432\u0456; \u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442, \u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u043a\u043e\u0440\u0430\u0431\u043b\u0435\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0456\u043c. \u0430\u0434\u043c. \u041c\u0430\u043a\u0430\u0440\u043e\u0432\u0430"],"raw_orcid":"https://orcid.org/0000-0002-6110-6816","affiliations":[{"raw_affiliation_string":"\u0415\u043a\u043e\u043d\u043e\u043c\u0456\u043a\u043e-\u0433\u0443\u043c\u0430\u043d\u0456\u0442\u0430\u0440\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0432 \u0412\u0430\u0440\u0448\u0430\u0432\u0456; \u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442, \u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u043a\u043e\u0440\u0430\u0431\u043b\u0435\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0456\u043c. \u0430\u0434\u043c. \u041c\u0430\u043a\u0430\u0440\u043e\u0432\u0430","institution_ids":["https://openalex.org/I13779751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038367872","display_name":"Oleg M. Dudchenko","orcid":"https://orcid.org/0000-0002-7724-0892","observed_orcids":["https://orcid.org/0000-0002-7724-0892"]},"institutions":[{"id":"https://openalex.org/I13779751","display_name":"Admiral Makarov National University of Shipbuilding","ror":"https://ror.org/04ymc1w90","country_code":"UA","type":"education","lineage":["https://openalex.org/I13779751"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"O Dudchenko","raw_affiliation_strings":["\u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442, \u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u043a\u043e\u0440\u0430\u0431\u043b\u0435\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0456\u043c. \u0430\u0434\u043c. \u041c\u0430\u043a\u0430\u0440\u043e\u0432\u0430"],"raw_orcid":"https://orcid.org/0000-0002-7724-0892","affiliations":[{"raw_affiliation_string":"\u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442, \u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u043a\u043e\u0440\u0430\u0431\u043b\u0435\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0456\u043c. \u0430\u0434\u043c. \u041c\u0430\u043a\u0430\u0440\u043e\u0432\u0430","institution_ids":["https://openalex.org/I13779751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016842052","display_name":"\u041e.\u0406. \u041b\u0418\u0422\u0412\u0418\u041d\u0415\u041d\u041a\u041e","orcid":"https://orcid.org/0000-0001-9890-6959","observed_orcids":["https://orcid.org/0000-0001-9890-6959"]},"institutions":[{"id":"https://openalex.org/I13779751","display_name":"Admiral Makarov National University of Shipbuilding","ror":"https://ror.org/04ymc1w90","country_code":"UA","type":"education","lineage":["https://openalex.org/I13779751"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"O Lytvynenko","raw_affiliation_strings":["\u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442, \u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u043a\u043e\u0440\u0430\u0431\u043b\u0435\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0456\u043c. \u0430\u0434\u043c. \u041c\u0430\u043a\u0430\u0440\u043e\u0432\u0430"],"raw_orcid":"https://orcid.org/0000-0001-9890-6959","affiliations":[{"raw_affiliation_string":"\u0425\u0435\u0440\u0441\u043e\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442, \u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u043a\u043e\u0440\u0430\u0431\u043b\u0435\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0456\u043c. \u0430\u0434\u043c. \u041c\u0430\u043a\u0430\u0440\u043e\u0432\u0430","institution_ids":["https://openalex.org/I13779751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11406619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"28","first_page":"3","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.022199999541044235,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/basis-functions","display_name":"basis functions","score":0.722000002861023},{"id":"https://openalex.org/keywords/geometric-construction","display_name":"geometric construction","score":0.6159999966621399},{"id":"https://openalex.org/keywords/isoparametric-mapping","display_name":"isoparametric mapping","score":0.7519999742507935},{"id":"https://openalex.org/keywords/quadrilateral-elements","display_name":"quadrilateral elements","score":0.7440000176429749},{"id":"https://openalex.org/keywords/interpolation-accuracy","display_name":"interpolation accuracy","score":0.5400000214576721},{"id":"https://openalex.org/keywords/higher-order-basis-functions","display_name":"higher-order basis functions","score":0.5490000247955322},{"id":"https://openalex.org/keywords/natural-boundary-conditions","display_name":"natural boundary conditions","score":0.4659999907016754},{"id":"https://openalex.org/keywords/lagrange-elements","display_name":"Lagrange elements","score":0.39899998903274536}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.581708550453186},{"id":"https://openalex.org/C171872576","wikidata":"https://www.wikidata.org/wiki/Q902783","display_name":"Discrete element method","level":2,"score":0.5697731375694275},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5466786026954651},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3921772539615631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38740330934524536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.296165406703949},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11701643466949463},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08213767409324646},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.33842/2313-125x-2025-30-3-11","doi":"https://doi.org/10.33842/2313-125x-2025-30-3-11","is_oa":true,"landing_page_url":"https://doi.org/10.33842/2313-125x-2025-30-3-11","pdf_url":"https://magazine.mdpu.org.ua/index.php/spm/article/download/3367/3840","source":{"id":"https://openalex.org/S4210195553","display_name":"Modern problems of modeling","issn_l":"2313-125X","issn":["2313-125X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320951","host_organization_name":"Bogdan Chmelnitskiy Melitopol State Pedagogical University","host_organization_lineage":["https://openalex.org/P4310320951"],"host_organization_lineage_names":["Bogdan Chmelnitskiy Melitopol State Pedagogical University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern problems of modeling","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.33842/2313-125x-2025-30-3-11","doi":"https://doi.org/10.33842/2313-125x-2025-30-3-11","is_oa":true,"landing_page_url":"https://doi.org/10.33842/2313-125x-2025-30-3-11","pdf_url":"https://magazine.mdpu.org.ua/index.php/spm/article/download/3367/3840","source":{"id":"https://openalex.org/S4210195553","display_name":"Modern problems of modeling","issn_l":"2313-125X","issn":["2313-125X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320951","host_organization_name":"Bogdan Chmelnitskiy Melitopol State Pedagogical University","host_organization_lineage":["https://openalex.org/P4310320951"],"host_organization_lineage_names":["Bogdan Chmelnitskiy Melitopol State Pedagogical University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern problems of modeling","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412484386.pdf","grobid_xml":"https://content.openalex.org/works/W4412484386.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2381759106","https://openalex.org/W4409317535"],"abstract_inverted_index":{"\u0423":[0],"\u0440\u043e\u0431\u043e\u0442\u0456":[1],"\u0440\u043e\u0437\u0433\u043b\u044f\u0434\u0430\u044e\u0442\u044c\u0441\u044f":[2],"\u0441\u0435\u0440\u0435\u043d\u0434\u0438\u043f\u043e\u0432\u0456":[3,226],"\u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u0456":[4,227],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0438":[5],"(\u0421\u0421\u0415),":[6],"\u044f\u043a\u0456":[7],"\u0432\u0438\u043d\u0438\u043a\u043b\u0438":[8],"\u043d\u0430\u043f\u0440\u0438\u043a\u0456\u043d\u0446\u0456":[9],"60-\u0445":[10],"\u0440\u043e\u043a\u0456\u0432":[11,136],"\u043c\u0438\u043d\u0443\u043b\u043e\u0433\u043e":[12],"\u0441\u0442\u043e\u0440\u0456\u0447\u0447\u044f":[13],"\u044f\u043a":[14],"\u0432\u0438\u043d\u0430\u0445\u0456\u0434\u043b\u0438\u0432\u0430":[15],"\u043c\u043e\u0434\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u044f":[16],"\u043b\u0430\u0433\u0440\u0430\u043d\u0436\u0435\u0432\u0438\u0445":[17],"\u0434\u0432\u043e-":[18],"\u0456":[19,159],"\u0442\u0440\u0438\u0432\u0438\u043c\u0456\u0440\u043d\u0438\u0445":[20],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0456\u0432":[21],"\u0448\u043b\u044f\u0445\u043e\u043c":[22],"\u0432\u0438\u043b\u0443\u0447\u0435\u043d\u043d\u044f":[23],"\u0432\u043d\u0443\u0442\u0440\u0456\u0448\u043d\u0456\u0445":[24],"\u0432\u0443\u0437\u043b\u0456\u0432":[25],"\u0456\u043d\u0442\u0435\u0440\u043f\u043e\u043b\u044f\u0446\u0456\u0457.":[26],"\u041d\u0430\u0432\u0435\u0434\u0435\u043d\u0456":[27],"\u0432":[28],"\u043b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0456":[29],"\u0431\u0430\u0437\u0438\u0441\u043d\u0456":[30],"\u0444\u0443\u043d\u043a\u0446\u0456\u0457":[31,37],"\u0441\u0435\u0440\u0435\u043d\u0434\u0438\u043f\u043e\u0432\u0438\u0445":[32,59,140],"\u0421\u0415":[33],"\u043d\u0430\u0437\u0438\u0432\u0430\u044e\u0442\u044c":[34],"\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c\u0438.":[35],"\u0426\u0456":[36],"\u0434\u043e\u0431\u0440\u0435":[38],"\u0441\u043f\u0440\u0430\u0432\u043b\u044f\u044e\u0442\u044c\u0441\u044f":[39],"\u0437":[40],"\u0437\u0430\u0434\u0430\u0447\u0435\u044e":[41],"\u0456\u0437\u043e\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u0433\u043e":[42],"\u0432\u0456\u0434\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f":[43],"\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430":[44],"\u0443":[45,96,104],"\u0434\u043e\u0432\u0456\u043b\u044c\u043d\u0438\u0439":[46],"\u0447\u043e\u0442\u0438\u0440\u0438\u043a\u0443\u0442\u043d\u0438\u043a,":[47],"\u043e\u0434\u043d\u0430\u043a":[48],"\u0456\u043d\u0442\u0435\u0440\u043f\u043e\u043b\u044f\u0446\u0456\u0439\u043d\u0456":[49],"\u044f\u043a\u043e\u0441\u0442\u0456":[50],"\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u0445":[51,208],"\u0431\u0430\u0437\u0438\u0441\u0456\u0432":[52,122,130],"\u043d\u0435":[53],"\u0437\u0430\u0432\u0436\u0434\u0438":[54],"\u0431\u0435\u0437\u0434\u043e\u0433\u0430\u043d\u043d\u0456.":[55],"\u0412\u0441\u0456":[56],"\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0456":[57],"\u0431\u0430\u0437\u0438\u0441\u0438":[58,216],"\u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u0438\u0445":[60],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0456\u0432,":[61],"\u043a\u0440\u0456\u043c":[62,70],"\u0431\u0456\u043b\u0456\u043d\u0456\u0439\u043d\u043e\u0433\u043e,":[63],"\u043c\u0430\u044e\u0442\u044c":[64,89],"\u043d\u0435\u0434\u043e\u043b\u0456\u043a\u0438.":[65],"\u041f\u043e\u0431\u0443\u0434\u043e\u0432\u0443":[66],"\u0431\u0430\u0437\u0438\u0441\u043d\u0438\u0445":[67],"\u0444\u0443\u043d\u043a\u0446\u0456\u0439":[68],"\u0421\u0421\u0415,":[69],"\u0442\u0440\u0430\u0434\u0438\u0446\u0456\u0439\u043d\u0438\u0445":[71],"\u043c\u0435\u0442\u043e\u0434\u0456\u0432":[72,119],"\u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u0433\u043e":[73],"\u0430\u043d\u0430\u043b\u0456\u0437\u0443,":[74],"\u043c\u043e\u0436\u043d\u0430":[75],"\u0437\u0434\u0456\u0439\u0441\u043d\u0438\u0442\u0438":[76],"\u0437\u0430":[77,153],"\u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e":[78],"\u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0438":[79,145,186,232],"\u0422\u0435\u0439\u043b\u043e\u0440\u0430.":[80,187],"\u041d\u0430":[81,176],"\u0436\u0430\u043b\u044c,":[82],"\u0441\u0442\u0432\u043e\u0440\u0435\u043d\u0456":[83],"\u043e\u0431\u043e\u043c\u0430":[84],"\u0441\u043f\u043e\u0441\u043e\u0431\u0430\u043c\u0438":[85],"\u043f\u043e\u043b\u0456\u043d\u043e\u043c\u0438":[86],"\u0432\u0438\u0449\u0438\u0445":[87,123,169,239],"\u043f\u043e\u0440\u044f\u0434\u043a\u0456\u0432":[88,161,170],"\u043f\u0435\u0432\u043d\u0456":[90],"\u043d\u0435\u0434\u043e\u043b\u0456\u043a\u0438:":[91],"\u043d\u0430\u0434\u043c\u0456\u0440\u043d\u0443":[92],"\u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c":[93],"\u043a\u0440\u0430\u0442\u043d\u0438\u0445":[94],"\u043d\u0443\u043b\u0456\u0432":[95],"\u0432\u0443\u0437\u043b\u0430\u0445":[97,110],"\u0456\u043d\u0442\u0435\u0440\u043f\u043e\u043b\u044f\u0446\u0456\u0457":[98,116,152],"(\u0436\u043e\u0440\u0441\u0442\u043a\u0430":[99],"\u043c\u043e\u0434\u0435\u043b\u044c)":[100],"\u0442\u0430":[101,221],"\u0432\u0456\u0434\u2019\u0454\u043c\u043d\u0456":[102],"\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f":[103],"\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0456":[105],"\u0440\u0456\u0432\u043d\u043e\u043c\u0456\u0440\u043d\u043e\u0457":[106],"\u043c\u0430\u0441\u043e\u0432\u043e\u0457":[107],"\u0441\u0438\u043b\u0438":[108],"\u043f\u043e":[109],"(\u043d\u0435\u043f\u0440\u0438\u0440\u043e\u0434\u043d\u0438\u0439":[111],"\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b).":[112],"\u0410\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u043e\u044e":[113],"\u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u044e":[114],"\u0441\u0435\u0440\u0435\u043d\u0434\u0438\u043f\u043e\u0432\u043e\u0457":[115],"\u0454":[117],"\u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0430":[118],"\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u044e\u0432\u0430\u043d\u043d\u044f":[120,197,213],"\u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0438\u0445":[121,204],"\u043f\u043e\u0440\u044f\u0434\u043a\u0456\u0432,":[124],"\u043f\u043e\u0437\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0445":[125,206],"\u0446\u0438\u0445":[126],"\u043d\u0435\u0434\u043e\u043b\u0456\u043a\u0456\u0432.":[127],"\u0406\u0441\u043d\u0443\u0432\u0430\u043d\u043d\u044f":[128],"\u0442\u0430\u043a\u0438\u0445":[129],"\u0431\u0443\u043b\u043e":[131],"\u0434\u043e\u0432\u0435\u0434\u0435\u043d\u043e":[132],"\u043d\u0430":[133,149,156],"\u043f\u043e\u0447\u0430\u0442\u043a\u0443":[134],"80-\u0445":[135],"\u0425\u0425":[137],"\u0441\u0442\u043e\u0440\u0456\u0447\u0447\u044f.":[138],"\u0421\u043f\u0435\u0446\u0438\u0444\u0456\u043a\u0430":[139],"\u043c\u043e\u0434\u0435\u043b\u0435\u0439":[141],"\u0437\u043c\u0443\u0448\u0443\u0454":[142],"\u0432\u0456\u0434\u043c\u043e\u0432\u0438\u0442\u0438\u0441\u044c":[143],"\u0432\u0456\u0434":[144],"\u0422\u0435\u0439\u043b\u043e\u0440\u0430,":[146,233],"\u0449\u043e":[147],"\u0441\u043f\u0438\u0440\u0430\u0454\u0442\u044c\u0441\u044f":[148],"\u0442\u0440\u0430\u0434\u0438\u0446\u0456\u0457":[150],"\u043e\u0434\u043d\u043e\u0432\u0438\u043c\u0456\u0440\u043d\u043e\u0457":[151],"\u041b\u0430\u0433\u0440\u0430\u043d\u0436\u0435\u043c.":[154],"\u041b\u0438\u0448\u0435":[155],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0445":[157],"\u043f\u0435\u0440\u0448\u043e\u0433\u043e":[158],"\u0434\u0440\u0443\u0433\u043e\u0433\u043e":[160],"\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438":[162],"\u043e\u0431\u043e\u0445":[163],"\u043f\u0456\u0434\u0445\u043e\u0434\u0456\u0432":[164],"\u0441\u043f\u0456\u0432\u043f\u0430\u0434\u0430\u044e\u0442\u044c.":[165],"\u0421\u043a\u043b\u0430\u0434\u043d\u0456":[166],"\u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438":[167],"\u0421\u0421\u0415":[168,198],"\u043a\u0440\u0430\u0449\u0435":[171],"\u0440\u043e\u0437\u0432\u2019\u044f\u0437\u0443\u0432\u0430\u0442\u0438":[172],"\u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438":[173],"\u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u043e\u0457":[174],"\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0456\u0457.":[175],"\u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456":[177],"\u0442\u0440\u0438\u0432\u0438\u043c\u0456\u0440\u043d\u043e\u0433\u043e":[178],"\u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u043e\u0433\u043e":[179],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0430":[180],"(32":[181],"\u0432\u0443\u0437\u043b\u0430)":[182],"\u0430\u043d\u0430\u043b\u0456\u0437\u0443\u044e\u0442\u044c\u0441\u044f":[183],"\u043d\u0435\u0434\u043e\u043b\u0456\u043a\u0438":[184],"\u0456\u043d\u0442\u0435\u0440\u043f\u043e\u043b\u044f\u0446\u0456\u0439\u043d\u043e\u0457":[185],"\u0417\u0430\u043f\u0440\u043e\u043f\u043e\u043d\u043e\u0432\u0430\u043d\u043e":[188],"\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439":[189],"\u0441\u043f\u043e\u0441\u0456\u0431":[190],"\u0443\u0441\u0443\u043d\u0435\u043d\u043d\u044f":[191],"\u043d\u0435\u0434\u043e\u043b\u0456\u043a\u0456\u0432":[192,207],"\u043a\u043b\u0430\u0441\u0438\u0447\u043d\u043e\u0433\u043e":[193],"\u0431\u0430\u0437\u0438\u0441\u0443.":[194],"\u041f\u0435\u0440\u0435\u0432\u0430\u0433\u0438":[195],"\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u0433\u043e":[196],"\u0431\u0435\u0437\u043f\u0435\u0440\u0435\u0447\u043d\u0456":[199],"\u2013":[200],"\u0437\u2019\u044f\u0432\u043b\u044f\u0454\u0442\u044c\u0441\u044f":[201],"\u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c":[202],"\u0441\u0442\u0432\u043e\u0440\u0435\u043d\u043d\u044f":[203],"\u0431\u0430\u0437\u0438\u0441\u0456\u0432,":[205],"\u0431\u0430\u0437\u0438\u0441\u0456\u0432.":[209],"\u0411\u0456\u043b\u044c\u0448\u0435":[210],"\u0442\u043e\u0433\u043e,":[211],"\u0432\u0434\u0430\u043b\u0435":[212],"\u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454":[214],"\u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0443\u0432\u0430\u0442\u0438":[215],"\u0434\u043b\u044f":[217],"\u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043d\u044f":[218],"\u043a\u0440\u0430\u0449\u0438\u0445":[219],"\u0456\u043d\u0442\u0435\u0440\u043f\u043e\u043b\u044f\u0446\u0456\u0439\u043d\u0438\u0445":[220],"\u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0432\u0430\u043b\u044c\u043d\u0438\u0445":[222],"\u044f\u043a\u043e\u0441\u0442\u0435\u0439.":[223],"\u041a\u043b\u044e\u0447\u043e\u0432\u0456":[224],"\u0441\u043b\u043e\u0432\u0430:":[225],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0438,":[228],"\u0456\u043d\u0442\u0435\u0440\u043f\u043e\u043b\u044f\u0446\u0456\u044f,":[229],"\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0435":[230],"\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u044e\u0432\u0430\u043d\u043d\u044f,":[231],"\u0442\u0440\u0438\u0432\u0438\u043c\u0456\u0440\u043d\u0438\u0439":[234],"\u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u0438\u0439":[235],"\u0435\u043b\u0435\u043c\u0435\u043d\u0442,":[236],"\u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0438\u0439":[237],"\u0431\u0430\u0437\u0438\u0441":[238],"\u043f\u043e\u0440\u044f\u0434\u043a\u0456\u0432.":[240]},"counts_by_year":[],"updated_date":"2026-09-23T05:00:35.095934","created_date":"2025-07-16T00:00:00"}