Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2360789432', 'doi': None, 'title': 'Matrix versions of average value inequality', 'display_name': 'Matrix versions of average value inequality', 'publication_year': 2006, 'publication_date': '2006-01-01', 'ids': {'openalex': 'https://openalex.org/W2360789432', 'mag': '2360789432'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://en.cnki.com.cn/Article_en/CJFDTOTAL-CCSX200602018.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S52343387', 'display_name': 'Pure and applied mathematics', 'issn_l': '0079-8169', 'issn': ['0079-8169', '2162-3481'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5100693294', 'display_name': 'Liu Jian-zhong', 'orcid': 'https://orcid.org/0000-0002-7381-1248'}, 'institutions': [{'id': 'https://openalex.org/I4210144214', 'display_name': 'Jiangsu University of Technology', 'ror': 'https://ror.org/04jabhf80', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I4210144214']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Liu Jian-zhong', 'raw_affiliation_strings': ['Department of Basic Courses,Jiangsu Teachers university of Technology,Changzhou 213001,China)'], 'affiliations': [{'raw_affiliation_string': 'Department of Basic Courses,Jiangsu Teachers university of Technology,Changzhou 213001,China)', 'institution_ids': ['https://openalex.org/I4210144214']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5100693294'], 'corresponding_institution_ids': ['https://openalex.org/I4210144214'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 61}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11564', 'display_name': 'Mathematical Inequalities and Applications', 'score': 0.9885, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11564', 'display_name': 'Mathematical Inequalities and Applications', 'score': 0.9885, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9302, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.47768146}, {'id': 'https://openalex.org/keywords/value', 'display_name': 'Value (mathematics)', 'score': 0.4586591}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.87452286}, {'id': 'https://openalex.org/C45555294', 'wikidata': 'https://www.wikidata.org/wiki/Q28113351', 'display_name': 'Inequality', 'level': 2, 'score': 0.5572555}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.47768146}, {'id': 'https://openalex.org/C2776291640', 'wikidata': 'https://www.wikidata.org/wiki/Q2912517', 'display_name': 'Value (mathematics)', 'level': 2, 'score': 0.4586591}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.4209808}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.34817857}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.2749048}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2727481}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://en.cnki.com.cn/Article_en/CJFDTOTAL-CCSX200602018.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S52343387', 'display_name': 'Pure and applied mathematics', 'issn_l': '0079-8169', 'issn': ['0079-8169', '2162-3481'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.44, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W2797844099', 'https://openalex.org/W2796978370', 'https://openalex.org/W2796842799', 'https://openalex.org/W2615702672', 'https://openalex.org/W2562958148', 'https://openalex.org/W2480511020', 'https://openalex.org/W2475843508', 'https://openalex.org/W2378829361', 'https://openalex.org/W2372821545', 'https://openalex.org/W2371417513', 'https://openalex.org/W2356358614', 'https://openalex.org/W2334437629', 'https://openalex.org/W2329107967', 'https://openalex.org/W2328206536', 'https://openalex.org/W2327703719', 'https://openalex.org/W2326760368', 'https://openalex.org/W2322338583', 'https://openalex.org/W2318516329', 'https://openalex.org/W2064784009', 'https://openalex.org/W1635131640'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2360789432', 'counts_by_year': [], 'updated_date': '2024-12-08T12:19:38.156790', 'created_date': '2016-06-24'}