Publication Information

{'id': 'https://openalex.org/W1603489804', 'doi': None, 'title': 'Collected Papers, Vol. 1', 'display_name': 'Collected Papers, Vol. 1', 'publication_year': 2020, 'publication_date': '2020-07-31', 'ids': {'openalex': 'https://openalex.org/W1603489804', 'mag': '1603489804'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://vixra.org/pdf/1412.0158v1.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', '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/A5012703845', 'display_name': 'Florentín Smarandache', 'orcid': 'https://orcid.org/0000-0002-5560-5926'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Florentin Smarandache', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5012703845'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 16, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 90, 'max': 91}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T13267', 'display_name': 'Advanced Theoretical and Applied Studies in Material Sciences and Geometry', 'score': 0.6752, 'subfield': {'id': 'https://openalex.org/subfields/2204', 'display_name': 'Biomedical Engineering'}, '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/T13267', 'display_name': 'Advanced Theoretical and Applied Studies in Material Sciences and Geometry', 'score': 0.6752, 'subfield': {'id': 'https://openalex.org/subfields/2204', 'display_name': 'Biomedical Engineering'}, '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/quadrilateral', 'display_name': 'Quadrilateral', 'score': 0.5064579}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6682124}, {'id': 'https://openalex.org/C151756577', 'wikidata': 'https://www.wikidata.org/wiki/Q36810', 'display_name': 'Quadrilateral', 'level': 3, 'score': 0.5064579}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.44300687}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.43623453}, {'id': 'https://openalex.org/C2778029271', 'wikidata': 'https://www.wikidata.org/wiki/Q5421931', 'display_name': 'Extension (predicate logic)', 'level': 2, 'score': 0.4144389}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.36883962}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.30511105}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.116743654}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.112982154}, {'id': 'https://openalex.org/C135628077', 'wikidata': 'https://www.wikidata.org/wiki/Q220184', 'display_name': 'Finite element method', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://vixra.org/pdf/1412.0158v1.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Industry, innovation and infrastructure', 'score': 0.6, 'id': 'https://metadata.un.org/sdg/9'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W647001296', 'https://openalex.org/W631613397', 'https://openalex.org/W630121940', 'https://openalex.org/W623842182', 'https://openalex.org/W579879183', 'https://openalex.org/W3146313328', 'https://openalex.org/W3099242402', 'https://openalex.org/W2990246848', 'https://openalex.org/W2610082249', 'https://openalex.org/W2278969038', 'https://openalex.org/W2093082476', 'https://openalex.org/W1999184640', 'https://openalex.org/W1948915454', 'https://openalex.org/W184280981', 'https://openalex.org/W1584218514', 'https://openalex.org/W1568953172', 'https://openalex.org/W1533061601', 'https://openalex.org/W1506162491', 'https://openalex.org/W1154398871', 'https://openalex.org/W10896945'], 'abstract_inverted_index': {'This': [0], 'volume': [1], 'includes': [2], '37': [3], 'papers': [4], 'of': [5, 113, 128, 149, 153, 227, 231, 234, 247, 253, 261], 'mathematics': [6, 9, 152, 187], 'or': [7, 15, 161, 174, 243], 'applied': [8], 'written': [10, 99], 'by': [11, 237], 'the': [12, 19, 101, 105, 110, 117, 129, 147, 150, 195, 203, 232, 245, 259], 'author': [13], 'alone': [14], 'in': [16, 109, 122, 180, 209, 218, 264, 271], 'collaboration': [17], 'with': [18], 'following': [20], 'co-authors:': [21], 'Catalin': [22], 'Barbu,': [23], 'Mihaly': [24], 'Bencze,': [25], 'Octavian': [26], 'Cira,': [27], 'Marian': [28], 'Niţu,': [29], 'Ion': [30], 'Patrascu,': [31], 'Mircea': [32], 'E.': [33], 'Selariu,': [34], 'Rajan': [35], 'Alex,': [36], 'Xingsen': [37], 'Li,': [38], 'Tudor': [39], 'Paroiu,': [40], 'Luige': [41], 'Vladareanu,': [42, 44], 'Victor': [43], 'Stefan': [45], 'Vladuţescu,': [46], 'Yingjie': [47], 'Tian,': [48], 'Mohd': [49], 'Anasri,': [50], 'Lucian': [51], 'Capitanu,': [52], 'Valeri': [53], 'Kroumov,': [54], 'Kimihiro': [55], 'Okuyama,': [56], 'Gabriela': [57], 'Tonţ,': [58], 'A.': [59, 60], 'Adewara,': [61], 'Manoj': [62], 'K.': [63, 74, 77], 'Chaudhary,': [64], 'Mukesh': [65], 'Kumar,': [66], 'Sachin': [67], 'Malik,': [68], 'Alka': [69], 'Mittal,': [70], 'Neetish': [71], 'Sharma,': [72], 'Rakesh': [73], 'Shukla,': [75], 'Ashish': [76], 'Singh,': [78, 80, 83, 93], 'Jayant': [79], 'Rajesh': [81], 'Singh,V.V.': [82], 'Hansraj': [84], 'Yadav,': [85], 'Amit': [86], 'Bhaghel,': [87], 'Dipti': [88], 'Chauhan,': [89], 'V.': [90], 'Christianto,': [91], 'Priti': [92], 'and': [94, 116, 136, 144, 155, 158, 170, 211, 215, 251, 258, 266, 279, 292, 298, 301], 'Dmitri': [95], 'Rabounski.': [96], 'They': [97], 'were': [98], 'during': [100], 'years': [102], '2010-2014,': [103], 'about': [104, 125, 140, 146, 207, 220, 244, 269, 288], 'hyperbolic': [106, 114, 123], 'Menelaus': [107, 118], 'theorem': [108, 119], 'Poincare': [111], 'disc': [112], 'geometry,': [115, 124], 'for': [120, 223, 282], 'quadrilaterals': [121], 'some': [126, 166], 'properties': [127], 'harmonic': [130, 280], 'quadrilateral': [131], 'related': [132], 'to': [133, 137, 194, 202, 295], 'triangle': [134], 'simedians': [135], 'Apollonius': [138], 'circles,': [139], 'Luhn': [141], 'prime': [142], 'numbers,': [143], 'also': [145], 'correspondences': [148], 'eccentric': [151, 198], 'cardinal': [154], 'integral': [156], 'functions': [157], 'centric': [159, 186], 'mathematics,': [160, 182, 199], 'ordinary': [162], 'mathematics;': [163], 'there': [164], 'are': [165], 'notes': [167], 'on': [168, 175, 277], 'Crittenden': [169], 'Vanden': [171], "Eynden's": [172], 'conjecture,': [173], 'new': [176, 196], 'transformations,': [177], 'previously': [178], 'non-existent': [179], 'traditional': [181], 'that': [183, 190, 252], 'we': [184], 'call': [185], '(CM),': [188], 'but': [189], 'became': [191], 'possible': [192], 'due': [193], 'born': [197], 'and,': [200], 'implicitly,': [201], 'supermathematics': [204], '(SM);': [205], 'also,': [206], 'extenics,': [208], 'general,': [210], 'extension': [212], 'innovation': [213], 'model': [214], 'knowledge': [216], 'management,': [217], 'particular,': [219], 'advanced': [221], 'methods': [222], 'solving': [224], 'contradictory': [225], 'problems': [226], 'hybrid': [228], 'position-force': [229], 'control': [230], 'movement': [233], 'walking': [235], 'robots': [236, 263], 'applying': [238], 'a': [239], '2D': [240], 'Extension': [241], 'Set,': [242], 'notion': [246], 'point-set': [248], 'position': [249, 256], 'indicator': [250], 'point-two': [254], 'sets': [255], 'indicator,': [257], 'navigation': [260], 'mobile': [262], 'non-stationary': [265], 'nonstructured': [267], 'environments;': [268], 'applications': [270], 'statistics,': [272], 'such': [273], 'as': [274], 'estimators': [275], 'based': [276], 'geometric': [278], 'mean': [281, 285], 'estimating': [283], 'population': [284], 'using': [286], 'information;': [287], 'Godel’s': [289], 'incompleteness': [290], 'theorem(s)': [291], 'plausible': [293], 'implications': [294], 'artificial': [296], 'intelligence/life': [297], 'human': [299], 'mind,': [300], 'many': [302], 'more.': [303]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1603489804', 'counts_by_year': [{'year': 2018, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 2}], 'updated_date': '2024-12-12T03:51:59.836950', 'created_date': '2016-06-24'}