Publication Information

{'id': 'https://openalex.org/W3019934604', 'doi': 'https://doi.org/10.1080/09720502.2020.1721640', 'title': 'Square root formulae in the Śulbasũtras and Bakhshãlĩ manuscript', 'display_name': 'Square root formulae in the Śulbasũtras and Bakhshãlĩ manuscript', 'publication_year': 2020, 'publication_date': '2020-01-02', 'ids': {'openalex': 'https://openalex.org/W3019934604', 'doi': 'https://doi.org/10.1080/09720502.2020.1721640', 'mag': '3019934604'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/09720502.2020.1721640', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764429975', 'display_name': 'Journal of Interdisciplinary Mathematics', 'issn_l': '0972-0502', 'issn': ['0972-0502', '2169-012X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], '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/A5018710022', 'display_name': 'Subigyan Gadtia', 'orcid': 'https://orcid.org/0000-0002-8628-9495'}, 'institutions': [{'id': 'https://openalex.org/I185065464', 'display_name': 'Veer Surendra Sai University of Technology', 'ror': 'https://ror.org/02yghbg68', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I185065464']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Subigyan Gadtia', 'raw_affiliation_strings': ['Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India,'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India,', 'institution_ids': ['https://openalex.org/I185065464']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5101924943', 'display_name': 'Saroj Kumar Padhan', 'orcid': 'https://orcid.org/0000-0002-3284-3016'}, 'institutions': [{'id': 'https://openalex.org/I185065464', 'display_name': 'Veer Surendra Sai University of Technology', 'ror': 'https://ror.org/02yghbg68', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I185065464']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Saroj Kumar Padhan', 'raw_affiliation_strings': ['Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India,'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India,', 'institution_ids': ['https://openalex.org/I185065464']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5081267465', 'display_name': 'Bandan Kumar Bhoi', 'orcid': 'https://orcid.org/0000-0003-2916-2903'}, 'institutions': [{'id': 'https://openalex.org/I185065464', 'display_name': 'Veer Surendra Sai University of Technology', 'ror': 'https://ror.org/02yghbg68', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I185065464']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Bandan Kumar Bhoi', 'raw_affiliation_strings': ['Department of Electronics and Telecommunications, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India,'], 'affiliations': [{'raw_affiliation_string': 'Department of Electronics and Telecommunications, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India,', 'institution_ids': ['https://openalex.org/I185065464']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.228, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.549694, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 69, 'max': 73}, 'biblio': {'volume': '23', 'issue': '1', 'first_page': '1', 'last_page': '10'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11697', 'display_name': 'Numerical Methods and Algorithms', 'score': 0.9656, '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'}}, 'topics': [{'id': 'https://openalex.org/T11697', 'display_name': 'Numerical Methods and Algorithms', 'score': 0.9656, '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'}}, {'id': 'https://openalex.org/T10963', 'display_name': 'Advanced Optimization Algorithms Research', 'score': 0.9144, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, '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/square-root', 'display_name': 'Square root', 'score': 0.8576058}, {'id': 'https://openalex.org/keywords/counterexample', 'display_name': 'Counterexample', 'score': 0.6914418}, {'id': 'https://openalex.org/keywords/root', 'display_name': 'Root (linguistics)', 'score': 0.6607389}, {'id': 'https://openalex.org/keywords/square', 'display_name': 'Square (algebra)', 'score': 0.5585758}], 'concepts': [{'id': 'https://openalex.org/C11577676', 'wikidata': 'https://www.wikidata.org/wiki/Q134237', 'display_name': 'Square root', 'level': 2, 'score': 0.8576058}, {'id': 'https://openalex.org/C162838799', 'wikidata': 'https://www.wikidata.org/wiki/Q596077', 'display_name': 'Counterexample', 'level': 2, 'score': 0.6914418}, {'id': 'https://openalex.org/C171078966', 'wikidata': 'https://www.wikidata.org/wiki/Q111029', 'display_name': 'Root (linguistics)', 'level': 2, 'score': 0.6607389}, {'id': 'https://openalex.org/C85189116', 'wikidata': 'https://www.wikidata.org/wiki/Q374195', 'display_name': "Newton's method", 'level': 3, 'score': 0.57597584}, {'id': 'https://openalex.org/C135692309', 'wikidata': 'https://www.wikidata.org/wiki/Q111124', 'display_name': 'Square (algebra)', 'level': 2, 'score': 0.5585758}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.52559495}, {'id': 'https://openalex.org/C2778029271', 'wikidata': 'https://www.wikidata.org/wiki/Q5421931', 'display_name': 'Extension (predicate logic)', 'level': 2, 'score': 0.50221443}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.42673728}, {'id': 'https://openalex.org/C42935608', 'wikidata': 'https://www.wikidata.org/wiki/Q190411', 'display_name': 'Field-programmable gate array', 'level': 2, 'score': 0.41145793}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.391939}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.368352}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.33985204}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.19544333}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.105393976}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.10285485}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.1028243}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.07387853}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.06116903}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.05105838}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C9390403', 'wikidata': 'https://www.wikidata.org/wiki/Q3966', 'display_name': 'Computer hardware', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/09720502.2020.1721640', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764429975', 'display_name': 'Journal of Interdisciplinary Mathematics', 'issn_l': '0972-0502', 'issn': ['0972-0502', '2169-012X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.53, 'display_name': 'Quality education', 'id': 'https://metadata.un.org/sdg/4'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W2165240415', 'https://openalex.org/W2565381705', 'https://openalex.org/W2912581041', 'https://openalex.org/W4285719527'], 'related_works': ['https://openalex.org/W4308789280', 'https://openalex.org/W3120038327', 'https://openalex.org/W3029623871', 'https://openalex.org/W2626542362', 'https://openalex.org/W2364423705', 'https://openalex.org/W2217961521', 'https://openalex.org/W2200340134', 'https://openalex.org/W2001134355', 'https://openalex.org/W1595735471', 'https://openalex.org/W1561772133'], 'abstract_inverted_index': {'Abstract': [0], 'The': [1, 37], 'present': [2, 116], 'investigations': [3], 'are': [4, 25, 93, 110], 'focused': [5], 'on': [6], 'the': [7, 10, 15, 18, 35, 42, 50, 57, 72, 75, 97, 107, 111, 115], 'extension': [8], 'of': [9, 74, 87, 106, 114], 'square': [11, 38], 'root': [12, 39], 'formulae': [13], 'in': [14, 34, 41, 82], 'Śulbasũtras': [16], 'and': [17, 31, 48, 80], 'Bakhshãlĩ': [19, 43], 'Manuscript.': [20], 'Two': [21], 'new': [22, 98], 'iterative': [23], 'methods': [24], 'being': [26], 'proposed': [27, 76], 'using': [28, 60], 'Bramhagupta’s': [29], 'lemmas': [30], 'Narayana’s': [32], 'Varga-Prakrti': [33], 'Śulbasũtras.': [36], 'formula': [40], 'Manuscript': [44], 'has': [45], 'been': [46, 54], 'redefined': [47], 'hence,': [49], 'results': [51], 'obtained': [52], 'have': [53], 'compared': [55], 'with': [56], 'Newton-Raphson': [58, 88], 'Method': [59], 'Field': [61], 'Programmable': [62], 'Gate': [63], 'Array': [64], '(FPGA)': [65], 'based': [66], 'tools.': [67], 'It': [68], 'is': [69, 78, 102], 'oserved': [70], 'that': [71, 86, 104], 'performance': [73], 'method': [77], 'faster': [79], 'better': [81], 'all': [83], 'respects': [84], 'than': [85], 'method.': [89], 'Further,': [90], 'several': [91], 'counterexamples': [92], 'provided': [94], 'to': [95], 'support': [96], 'findings.': [99], 'Moreover,': [100], 'it': [101], 'seen': [103], 'some': [105], 'earlier': [108], 'works': [109], 'particular': [112], 'cases': [113], 'study.': [117]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3019934604', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}], 'updated_date': '2025-01-02T08:07:45.855514', 'created_date': '2020-05-01'}