Publication Information

{'id': 'https://openalex.org/W2371247921', 'doi': None, 'title': 'The Necessary Condition to Draw a Tangent Line from the Conic Section', 'display_name': 'The Necessary Condition to Draw a Tangent Line from the Conic Section', 'publication_year': 2002, 'publication_date': '2002-01-01', 'ids': {'openalex': 'https://openalex.org/W2371247921', 'mag': '2371247921'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'http://en.cnki.com.cn/Article_en/CJFDTOTAL-LSZB200205006.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764986101', 'display_name': 'Journal of Luoyang Teachers College', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, '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/A5086547159', 'display_name': 'Xi Gao', 'orcid': 'https://orcid.org/0000-0002-9470-3115'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Xi Gao', 'raw_affiliation_strings': ['wen'], 'affiliations': [{'raw_affiliation_string': 'wen', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5086547159'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': None, 'cited_by_percentile_year': {'min': 0, 'max': 57}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': None, 'topics': [], 'keywords': [{'id': 'https://openalex.org/keywords/conic-section', 'display_name': 'Conic section', 'score': 0.9911615}, {'id': 'https://openalex.org/keywords/section', 'display_name': 'Section (typography)', 'score': 0.84799445}, {'id': 'https://openalex.org/keywords/line', 'display_name': 'Line (geometry)', 'score': 0.65607405}, {'id': 'https://openalex.org/keywords/conic-optimization', 'display_name': 'Conic optimization', 'score': 0.54934126}, {'id': 'https://openalex.org/keywords/tangent-cone', 'display_name': 'Tangent cone', 'score': 0.44410822}], 'concepts': [{'id': 'https://openalex.org/C108598597', 'wikidata': 'https://www.wikidata.org/wiki/Q124255', 'display_name': 'Conic section', 'level': 2, 'score': 0.9911615}, {'id': 'https://openalex.org/C138187205', 'wikidata': 'https://www.wikidata.org/wiki/Q131251', 'display_name': 'Tangent', 'level': 2, 'score': 0.8606319}, {'id': 'https://openalex.org/C2780129039', 'wikidata': 'https://www.wikidata.org/wiki/Q1931107', 'display_name': 'Section (typography)', 'level': 2, 'score': 0.84799445}, {'id': 'https://openalex.org/C198352243', 'wikidata': 'https://www.wikidata.org/wiki/Q37105', 'display_name': 'Line (geometry)', 'level': 2, 'score': 0.65607405}, {'id': 'https://openalex.org/C28719098', 'wikidata': 'https://www.wikidata.org/wiki/Q44946', 'display_name': 'Point (geometry)', 'level': 2, 'score': 0.60087466}, {'id': 'https://openalex.org/C79187972', 'wikidata': 'https://www.wikidata.org/wiki/Q2654791', 'display_name': 'Conic optimization', 'level': 5, 'score': 0.54934126}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.45251915}, {'id': 'https://openalex.org/C149944404', 'wikidata': 'https://www.wikidata.org/wiki/Q2392464', 'display_name': 'Tangent cone', 'level': 3, 'score': 0.44410822}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.39760876}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.365956}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.26041573}, {'id': 'https://openalex.org/C157972887', 'wikidata': 'https://www.wikidata.org/wiki/Q463359', 'display_name': 'Convex optimization', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C12108790', 'wikidata': 'https://www.wikidata.org/wiki/Q2234833', 'display_name': 'Convex analysis', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'http://en.cnki.com.cn/Article_en/CJFDTOTAL-LSZB200205006.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764986101', 'display_name': 'Journal of Luoyang Teachers College', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W81580855', 'https://openalex.org/W3209896510', 'https://openalex.org/W3118567328', 'https://openalex.org/W3048294069', 'https://openalex.org/W3048222573', 'https://openalex.org/W3048196332', 'https://openalex.org/W3047721394', 'https://openalex.org/W3047665453', 'https://openalex.org/W3006317039', 'https://openalex.org/W2797741388', 'https://openalex.org/W2796954090', 'https://openalex.org/W2587459018', 'https://openalex.org/W2392515538', 'https://openalex.org/W2364620308', 'https://openalex.org/W2349363630', 'https://openalex.org/W2347242716', 'https://openalex.org/W2333011520', 'https://openalex.org/W2093643615', 'https://openalex.org/W1968128210', 'https://openalex.org/W1966612582'], 'abstract_inverted_index': {'this': [0, 35], 'paper,': [1], 'probing': [2], 'into': [3], 'the': [4, 8, 12, 19, 26, 43, 55, 60, 69], 'middle': [5], 'point': [6, 24], 'of': [7], 'parallel': [9, 48], 'chords': [10], 'to': [11, 17, 41, 49, 63], 'conic': [13, 27, 56, 70], 'section,introduces': [14], 'a': [15, 50, 65], 'method': [16], 'draw': [18, 42, 64], 'tangent': [20, 44, 66], 'line': [21, 45, 53, 67], 'from': [22, 54, 68], 'any': [23, 30], 'on': [25], 'section': [28], 'without': [29], 'additional': [31], 'given': [32, 51], 'condition.By': [33], 'using': [34], 'method,': [36], 'we': [37], 'can': [38], 'know': [39], 'how': [40], 'which': [46], 'is': [47], 'straight': [52], 'section,': [57], 'and': [58], 'get': [59], 'necessary': [61], 'condition': [62], 'section.': [71]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2371247921', 'counts_by_year': [], 'updated_date': '2024-09-18T07:42:53.263579', 'created_date': '2016-06-24'}