Publication Information

{'id': 'https://openalex.org/W2380869139', 'doi': None, 'title': 'Form Invariance of Lagrange System Forced by Holonomic Constraints', 'display_name': 'Form Invariance of Lagrange System Forced by Holonomic Constraints', 'publication_year': 2004, 'publication_date': '2004-01-01', 'ids': {'openalex': 'https://openalex.org/W2380869139', 'mag': '2380869139'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://en.cnki.com.cn/Article_en/CJFDTOTAL-BJLG200401002.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764484858', 'display_name': 'Journal of Beijing Institute of Technology', 'issn_l': '1004-0579', 'issn': ['1004-0579'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4320800723', 'host_organization_name': 'Beijing Institute of Technology', 'host_organization_lineage': ['https://openalex.org/P4320800723'], 'host_organization_lineage_names': ['Beijing Institute of Technology'], '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/A5100742189', 'display_name': 'Xuejun Xu', 'orcid': 'https://orcid.org/0000-0001-5007-8349'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'XU Xue-jun', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5025621020', 'display_name': 'Mei Feng-Xiang\ue00b\ue008', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Mei Feng-xiang', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], '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/T12504', 'display_name': 'Foundations of Geometric Mathematics', 'score': 0.9539, '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'}}, 'topics': [{'id': 'https://openalex.org/T12504', 'display_name': 'Foundations of Geometric Mathematics', 'score': 0.9539, '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'}}, {'id': 'https://openalex.org/T12170', 'display_name': 'History of Mathematics in Education and Research', 'score': 0.9406, 'subfield': {'id': 'https://openalex.org/subfields/2614', 'display_name': 'Theoretical Computer Science'}, '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/holonomic', 'display_name': 'Holonomic', 'score': 0.7631154}, {'id': 'https://openalex.org/keywords/holonomic-constraints', 'display_name': 'Holonomic constraints', 'score': 0.73704267}, {'id': 'https://openalex.org/keywords/conserved-quantity', 'display_name': 'Conserved quantity', 'score': 0.6335947}, {'id': 'https://openalex.org/keywords/invariance-principle', 'display_name': 'Invariance principle', 'score': 0.5080972}, {'id': 'https://openalex.org/keywords/inversive', 'display_name': 'Inversive', 'score': 0.408721}], 'concepts': [{'id': 'https://openalex.org/C80892491', 'wikidata': 'https://www.wikidata.org/wiki/Q578555', 'display_name': "Noether's theorem", 'level': 3, 'score': 0.9355352}, {'id': 'https://openalex.org/C2777964439', 'wikidata': 'https://www.wikidata.org/wiki/Q5884201', 'display_name': 'Holonomic', 'level': 2, 'score': 0.7631154}, {'id': 'https://openalex.org/C116721078', 'wikidata': 'https://www.wikidata.org/wiki/Q1048005', 'display_name': 'Holonomic constraints', 'level': 2, 'score': 0.73704267}, {'id': 'https://openalex.org/C91229774', 'wikidata': 'https://www.wikidata.org/wiki/Q193885', 'display_name': 'Infinitesimal', 'level': 2, 'score': 0.65304005}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.64531964}, {'id': 'https://openalex.org/C71914180', 'wikidata': 'https://www.wikidata.org/wiki/Q1071013', 'display_name': 'Conserved quantity', 'level': 2, 'score': 0.6335947}, {'id': 'https://openalex.org/C73684929', 'wikidata': 'https://www.wikidata.org/wiki/Q598870', 'display_name': 'Lagrange multiplier', 'level': 2, 'score': 0.549469}, {'id': 'https://openalex.org/C156387681', 'wikidata': 'https://www.wikidata.org/wiki/Q6059484', 'display_name': 'Invariance principle', 'level': 2, 'score': 0.5080972}, {'id': 'https://openalex.org/C2776639384', 'wikidata': 'https://www.wikidata.org/wiki/Q840396', 'display_name': 'Ideal (ethics)', 'level': 2, 'score': 0.44197664}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.35502446}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3536817}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.31040198}, {'id': 'https://openalex.org/C53469067', 'wikidata': 'https://www.wikidata.org/wiki/Q505735', 'display_name': 'Lagrangian', 'level': 2, 'score': 0.25437906}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.24809274}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.15978095}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.15898582}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.15595782}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.063734025}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.052467287}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, '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': [{'is_oa': False, 'landing_page_url': 'https://en.cnki.com.cn/Article_en/CJFDTOTAL-BJLG200401002.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764484858', 'display_name': 'Journal of Beijing Institute of Technology', 'issn_l': '1004-0579', 'issn': ['1004-0579'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4320800723', 'host_organization_name': 'Beijing Institute of Technology', 'host_organization_lineage': ['https://openalex.org/P4320800723'], 'host_organization_lineage_names': ['Beijing Institute of Technology'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Reduced inequalities', 'score': 0.41, 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W3146802088', 'https://openalex.org/W3140905408', 'https://openalex.org/W2552211531', 'https://openalex.org/W2394316113', 'https://openalex.org/W2393741052', 'https://openalex.org/W2375616502', 'https://openalex.org/W2374836831', 'https://openalex.org/W2372635000', 'https://openalex.org/W2371683912', 'https://openalex.org/W2369336952', 'https://openalex.org/W2368598275', 'https://openalex.org/W2359302101', 'https://openalex.org/W2357704220', 'https://openalex.org/W2350213727', 'https://openalex.org/W2349739469', 'https://openalex.org/W2192011968', 'https://openalex.org/W2093363665', 'https://openalex.org/W2071518300', 'https://openalex.org/W2039048191', 'https://openalex.org/W1984497913'], 'abstract_inverted_index': {'Deals': [0], 'with': [1, 46], 'the': [2, 6, 19, 22, 25, 29, 33, 36, 55, 65, 69, 74, 78, 82, 97, 100], 'form': [3, 26, 37, 66, 79], 'invariance': [4, 27, 53, 67, 80], 'and': [5, 21, 41, 73, 81], 'conserved': [7, 85], 'quantities': [8], 'of': [9, 28, 38, 43, 68, 99], 'a': [10], 'Lagrange': [11, 39], 'system': [12, 30, 70], 'forced': [13], 'by': [14], 'holonomic': [15, 49], 'constraints.': [16], 'It': [17], 'obtains': [18], 'definition': [20], 'criterion': [23], 'for': [24], 'relying': [31], 'on': [32], 'fact': [34], 'that': [35, 42, 64], 'equations': [40, 45], 'constrained': [44], 'ideal': [47], 'bilateral': [48], 'constraints': [50], 'preserve': [51], 'an': [52], 'under': [54, 76], 'infinitesimal': [56], 'transformations.': [57], 'In': [58], 'this': [59], 'case,': [60], 'it': [61], 'is': [62, 88], 'shown': [63], 'usually': [71], 'changes,': [72], 'condition': [75], 'which': [77], 'corresponding': [83], 'Noether': [84], 'quantity': [86], 'hold': [87], 'given.': [89], 'Two': [90], 'examples': [91], 'are': [92], 'finally': [93], 'given': [94], 'to': [95], 'illustrate': [96], 'application': [98], 'results.': [101]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2380869139', 'counts_by_year': [], 'updated_date': '2024-09-18T15:59:04.651485', 'created_date': '2016-06-24'}