Publication Information

{'id': 'https://openalex.org/W2802375062', 'doi': 'https://doi.org/10.1080/10511970.2017.1388312', 'title': 'Partial Fractions via Calculus', 'display_name': 'Partial Fractions via Calculus', 'publication_year': 2018, 'publication_date': '2018-05-09', 'ids': {'openalex': 'https://openalex.org/W2802375062', 'doi': 'https://doi.org/10.1080/10511970.2017.1388312', 'mag': '2802375062'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/10511970.2017.1388312', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S131696295', 'display_name': 'PRIMUS', 'issn_l': '1051-1970', 'issn': ['1051-1970', '1935-4053'], '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/A5023852375', 'display_name': 'William C. Bauldry', 'orcid': 'https://orcid.org/0000-0001-5954-8407'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'William C. Bauldry', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5023852375'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.670624, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 62, 'max': 70}, 'biblio': {'volume': '28', 'issue': '5', 'first_page': '425', 'last_page': '437'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10130', 'display_name': 'Mathematics Education and Teaching Techniques', 'score': 0.9513, 'subfield': {'id': 'https://openalex.org/subfields/3304', 'display_name': 'Education'}, 'field': {'id': 'https://openalex.org/fields/33', 'display_name': 'Social Sciences'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10130', 'display_name': 'Mathematics Education and Teaching Techniques', 'score': 0.9513, 'subfield': {'id': 'https://openalex.org/subfields/3304', 'display_name': 'Education'}, 'field': {'id': 'https://openalex.org/fields/33', 'display_name': 'Social Sciences'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, {'id': 'https://openalex.org/T12170', 'display_name': 'History and Theory of Mathematics', 'score': 0.9278, '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'}}, {'id': 'https://openalex.org/T13523', 'display_name': 'Mathematics, Computing, and Information Processing', 'score': 0.9007, '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/precalculus', 'display_name': 'Precalculus', 'score': 0.8494186}, {'id': 'https://openalex.org/keywords/differential-calculus', 'display_name': 'Differential calculus', 'score': 0.7287779}, {'id': 'https://openalex.org/keywords/time-scale-calculus', 'display_name': 'Time-scale calculus', 'score': 0.68058616}, {'id': 'https://openalex.org/keywords/partial-derivative', 'display_name': 'Partial derivative', 'score': 0.55703664}], 'concepts': [{'id': 'https://openalex.org/C129731507', 'wikidata': 'https://www.wikidata.org/wiki/Q3272845', 'display_name': 'Precalculus', 'level': 3, 'score': 0.8494186}, {'id': 'https://openalex.org/C56802139', 'wikidata': 'https://www.wikidata.org/wiki/Q149999', 'display_name': 'Differential calculus', 'level': 2, 'score': 0.7287779}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.72831106}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.72255874}, {'id': 'https://openalex.org/C33695381', 'wikidata': 'https://www.wikidata.org/wiki/Q7804838', 'display_name': 'Time-scale calculus', 'level': 3, 'score': 0.68058616}, {'id': 'https://openalex.org/C53846429', 'wikidata': 'https://www.wikidata.org/wiki/Q186475', 'display_name': 'Partial derivative', 'level': 2, 'score': 0.55703664}, {'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.556111}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.46515402}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.24750632}, {'id': 'https://openalex.org/C117312493', 'wikidata': 'https://www.wikidata.org/wiki/Q2035437', 'display_name': 'Multivariable calculus', 'level': 2, 'score': 0.17900127}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.15483022}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, '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/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C133731056', 'wikidata': 'https://www.wikidata.org/wiki/Q4917288', 'display_name': 'Control engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/10511970.2017.1388312', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S131696295', 'display_name': 'PRIMUS', 'issn_l': '1051-1970', 'issn': ['1051-1970', '1935-4053'], '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': [{'id': 'https://metadata.un.org/sdg/4', 'score': 0.41, 'display_name': 'Quality education'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 10, 'referenced_works': ['https://openalex.org/W1987081771', 'https://openalex.org/W2040841889', 'https://openalex.org/W2328657358', 'https://openalex.org/W2331052896', 'https://openalex.org/W252927678', 'https://openalex.org/W2798496766', 'https://openalex.org/W2800091496', 'https://openalex.org/W286484200', 'https://openalex.org/W4232791813', 'https://openalex.org/W4255583714'], 'related_works': ['https://openalex.org/W4254095678', 'https://openalex.org/W3195408957', 'https://openalex.org/W3164957757', 'https://openalex.org/W3142779107', 'https://openalex.org/W3023570446', 'https://openalex.org/W2889766920', 'https://openalex.org/W2802375062', 'https://openalex.org/W2755559527', 'https://openalex.org/W2334000660', 'https://openalex.org/W2314762785'], 'abstract_inverted_index': {'The': [0], 'standard': [1], 'technique': [2, 25, 97], 'taught': [3], 'in': [4, 98], 'calculus': [5, 27, 52, 104], 'courses': [6], 'for': [7], 'partial': [8], 'fraction': [9], 'expansions': [10], 'uses': [11], 'undetermined': [12], 'coefficients': [13], 'to': [14, 34, 37, 48], 'generate': [15], 'a': [16, 23], 'system': [17], 'of': [18, 94], 'linear': [19], 'equations;': [20], 'we': [21, 43, 79], 'present': [22], 'derivative-based': [24], 'that': [26, 42], 'and': [28, 103], 'differential': [29], 'equations': [30], 'instructors': [31], 'can': [32, 44, 80], 'use': [33, 45, 81], 'reinforce': [35], 'connections': [36], 'calculus.': [38], 'Simple': [39], 'algebra': [40], 'shows': [41], 'the': [46, 58, 66, 87, 96], 'derivative': [47, 60, 83], 'calculate': [49], 'coefficients,': [50, 67], 'reinforcing': [51], 'connections.': [53], 'For': [54, 75], 'irreducible': [55], 'quadratic': [56], 'factors,': [57, 78], 'simple': [59], 'formula': [61], 'with': [62, 72, 92], 'complex': [63, 73], 'arithmetic': [64], 'gives': [65], 'helping': [68], 'students': [69], 'gain': [70], 'facility': [71], 'numbers.': [74], 'higher': [76, 82], 'multiplicity': [77], 'formulas': [84], 'taken': [85], 'from': [86], 'Laurent': [88], 'expansion.': [89], 'We': [90], 'conclude': [91], 'examples': [93], 'using': [95], 'different': [99], 'courses,': [100], 'highlighting': [101], 'precalculus': [102], 'classes.': [105]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2802375062', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}], 'updated_date': '2024-12-12T14:44:13.825846', 'created_date': '2018-05-17'}