Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2084313768', 'doi': 'https://doi.org/10.1016/0024-3795(83)80041-x', 'title': 'Rank and optimal computation of generic tensors', 'display_name': 'Rank and optimal computation of generic tensors', 'publication_year': 1983, 'publication_date': '1983-07-01', 'ids': {'openalex': 'https://openalex.org/W2084313768', 'doi': 'https://doi.org/10.1016/0024-3795(83)80041-x', 'mag': '2084313768'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/0024-3795(83)80041-x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S159544283', 'display_name': 'Linear Algebra and its Applications', 'issn_l': '0024-3795', 'issn': ['0024-3795', '1873-1856'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://doi.org/10.1016/0024-3795(83)80041-x', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5007475314', 'display_name': 'Volker Strassen', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I202697423', 'display_name': 'University of Zurich', 'ror': 'https://ror.org/02crff812', 'country_code': 'CH', 'type': 'education', 'lineage': ['https://openalex.org/I202697423']}], 'countries': ['CH'], 'is_corresponding': True, 'raw_author_name': 'V. Strassen', 'raw_affiliation_strings': ['Institut für Angewandte Mathematik Universität Zürich Rämistrasse 74 CH-8032 Zürich, Switzerland'], 'affiliations': [{'raw_affiliation_string': 'Institut für Angewandte Mathematik Universität Zürich Rämistrasse 74 CH-8032 Zürich, Switzerland', 'institution_ids': ['https://openalex.org/I202697423']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5007475314'], 'corresponding_institution_ids': ['https://openalex.org/I202697423'], 'apc_list': {'value': 2760, 'currency': 'USD', 'value_usd': 2760, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.575, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 201, 'citation_normalized_percentile': {'value': 0.860465, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '52-53', 'issue': None, 'first_page': '645', 'last_page': '685'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12303', 'display_name': 'Tensor decomposition and applications', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2605', 'display_name': 'Computational 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/T12303', 'display_name': 'Tensor decomposition and applications', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2605', 'display_name': 'Computational 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/T11304', 'display_name': 'Advanced Neuroimaging Techniques and Applications', 'score': 0.9529, 'subfield': {'id': 'https://openalex.org/subfields/2741', 'display_name': 'Radiology, Nuclear Medicine and Imaging'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, {'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9225, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/rank', 'display_name': 'Rank (graph theory)', 'score': 0.8674766}, {'id': 'https://openalex.org/keywords/hypersurface', 'display_name': 'Hypersurface', 'score': 0.74655426}, {'id': 'https://openalex.org/keywords/invariants-of-tensors', 'display_name': 'Invariants of tensors', 'score': 0.6409076}, {'id': 'https://openalex.org/keywords/complement', 'display_name': 'Complement', 'score': 0.55334854}], 'concepts': [{'id': 'https://openalex.org/C164226766', 'wikidata': 'https://www.wikidata.org/wiki/Q7293202', 'display_name': 'Rank (graph theory)', 'level': 2, 'score': 0.8674766}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8652812}, {'id': 'https://openalex.org/C114410712', 'wikidata': 'https://www.wikidata.org/wiki/Q973321', 'display_name': 'Hypersurface', 'level': 2, 'score': 0.74655426}, {'id': 'https://openalex.org/C8828549', 'wikidata': 'https://www.wikidata.org/wiki/Q837924', 'display_name': 'Bilinear form', 'level': 2, 'score': 0.67319965}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.6471197}, {'id': 'https://openalex.org/C158158286', 'wikidata': 'https://www.wikidata.org/wiki/Q9009080', 'display_name': 'Invariants of tensors', 'level': 3, 'score': 0.6409076}, {'id': 'https://openalex.org/C112313634', 'wikidata': 'https://www.wikidata.org/wiki/Q7886648', 'display_name': 'Complement (music)', 'level': 5, 'score': 0.55334854}, {'id': 'https://openalex.org/C205203396', 'wikidata': 'https://www.wikidata.org/wiki/Q612143', 'display_name': 'Bilinear interpolation', 'level': 2, 'score': 0.47787324}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.47726673}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.45184258}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.33874738}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.3007129}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.07371417}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.072993785}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C188082640', 'wikidata': 'https://www.wikidata.org/wiki/Q1780899', 'display_name': 'Complementation', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C127716648', 'wikidata': 'https://www.wikidata.org/wiki/Q104053', 'display_name': 'Phenotype', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/0024-3795(83)80041-x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S159544283', 'display_name': 'Linear Algebra and its Applications', 'issn_l': '0024-3795', 'issn': ['0024-3795', '1873-1856'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/0024-3795(83)80041-x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S159544283', 'display_name': 'Linear Algebra and its Applications', 'issn_l': '0024-3795', 'issn': ['0024-3795', '1873-1856'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 32, 'referenced_works': ['https://openalex.org/W1531368347', 'https://openalex.org/W1536485115', 'https://openalex.org/W1551631489', 'https://openalex.org/W1565930783', 'https://openalex.org/W1585376301', 'https://openalex.org/W1828839365', 'https://openalex.org/W1965490450', 'https://openalex.org/W1983419392', 'https://openalex.org/W1985896262', 'https://openalex.org/W1990388068', 'https://openalex.org/W1993421136', 'https://openalex.org/W1996440503', 'https://openalex.org/W2002048434', 'https://openalex.org/W201320490', 'https://openalex.org/W2031905258', 'https://openalex.org/W2038162974', 'https://openalex.org/W2044027490', 'https://openalex.org/W2051126420', 'https://openalex.org/W2057503509', 'https://openalex.org/W2059934960', 'https://openalex.org/W2061547567', 'https://openalex.org/W2066356146', 'https://openalex.org/W2069432342', 'https://openalex.org/W2086284307', 'https://openalex.org/W2088804960', 'https://openalex.org/W2117629392', 'https://openalex.org/W2489178651', 'https://openalex.org/W2624870446', 'https://openalex.org/W2731314888', 'https://openalex.org/W3045828188', 'https://openalex.org/W4212914765', 'https://openalex.org/W4248269519'], 'related_works': ['https://openalex.org/W4306710942', 'https://openalex.org/W4229676496', 'https://openalex.org/W4220877270', 'https://openalex.org/W4200053212', 'https://openalex.org/W2963836814', 'https://openalex.org/W2357064270', 'https://openalex.org/W2235548299', 'https://openalex.org/W2197675418', 'https://openalex.org/W1987107190', 'https://openalex.org/W1963546854'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2084313768', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 3}, {'year': 2021, 'cited_by_count': 5}, {'year': 2020, 'cited_by_count': 6}, {'year': 2019, 'cited_by_count': 12}, {'year': 2018, 'cited_by_count': 10}, {'year': 2017, 'cited_by_count': 11}, {'year': 2016, 'cited_by_count': 11}, {'year': 2015, 'cited_by_count': 9}, {'year': 2014, 'cited_by_count': 14}, {'year': 2013, 'cited_by_count': 19}, {'year': 2012, 'cited_by_count': 16}], 'updated_date': '2024-12-09T14:21:55.759766', 'created_date': '2016-06-24'}