Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W292276619', 'doi': 'https://doi.org/10.5951/mt.94.5.0410', 'title': 'Visualizing the Complex Roots of Quadratic and Cubic Equations', 'display_name': 'Visualizing the Complex Roots of Quadratic and Cubic Equations', 'publication_year': 2001, 'publication_date': '2001-05-01', 'ids': {'openalex': 'https://openalex.org/W292276619', 'doi': 'https://doi.org/10.5951/mt.94.5.0410', 'mag': '292276619'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.5951/mt.94.5.0410', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764739392', 'display_name': 'Mathematics Teacher Learning and Teaching PK-12', 'issn_l': '0025-5769', 'issn': ['0025-5769', '2330-0582'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310315778', 'host_organization_name': 'National Council of Teachers of Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310315778'], 'host_organization_lineage_names': ['National Council of Teachers of Mathematics'], '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/A5031933096', 'display_name': 'Alan Lipp', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I125768316', 'display_name': 'Northampton Community College', 'ror': 'https://ror.org/05j27jv73', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I125768316']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Alan Lipp', 'raw_affiliation_strings': ['1 Teaches at Williston Northampton School, Easthampton, MA 01027.'], 'affiliations': [{'raw_affiliation_string': '1 Teaches at Williston Northampton School, Easthampton, MA 01027.', 'institution_ids': ['https://openalex.org/I125768316']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5031933096'], 'corresponding_institution_ids': ['https://openalex.org/I125768316'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.621212, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 59, 'max': 66}, 'biblio': {'volume': '94', 'issue': '5', 'first_page': '410', 'last_page': '413'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12170', 'display_name': 'History of Mathematics in Education and Research', 'score': 0.808, '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'}}, 'topics': [{'id': 'https://openalex.org/T12170', 'display_name': 'History of Mathematics in Education and Research', 'score': 0.808, '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/T10130', 'display_name': 'Pedagogical Content Knowledge in Education', 'score': 0.8016, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/cubic-function', 'display_name': 'Cubic function', 'score': 0.77208036}, {'id': 'https://openalex.org/keywords/the-imaginary', 'display_name': 'The Imaginary', 'score': 0.7499926}, {'id': 'https://openalex.org/keywords/mathematical-concepts', 'display_name': 'Mathematical Concepts', 'score': 0.525731}], 'concepts': [{'id': 'https://openalex.org/C129844170', 'wikidata': 'https://www.wikidata.org/wiki/Q41299', 'display_name': 'Quadratic equation', 'level': 2, 'score': 0.7876967}, {'id': 'https://openalex.org/C65559279', 'wikidata': 'https://www.wikidata.org/wiki/Q16667694', 'display_name': 'Cubic function', 'level': 2, 'score': 0.77208036}, {'id': 'https://openalex.org/C135068731', 'wikidata': 'https://www.wikidata.org/wiki/Q1169049', 'display_name': 'The Imaginary', 'level': 2, 'score': 0.7499926}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.51796496}, {'id': 'https://openalex.org/C90119067', 'wikidata': 'https://www.wikidata.org/wiki/Q43260', 'display_name': 'Polynomial', 'level': 2, 'score': 0.51261395}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.34127975}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.23614809}, {'id': 'https://openalex.org/C15744967', 'wikidata': 'https://www.wikidata.org/wiki/Q9418', 'display_name': 'Psychology', 'level': 0, 'score': 0.070709854}, {'id': 'https://openalex.org/C11171543', 'wikidata': 'https://www.wikidata.org/wiki/Q41630', 'display_name': 'Psychoanalysis', 'level': 1, 'score': 0.050622225}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.5951/mt.94.5.0410', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764739392', 'display_name': 'Mathematics Teacher Learning and Teaching PK-12', 'issn_l': '0025-5769', 'issn': ['0025-5769', '2330-0582'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310315778', 'host_organization_name': 'National Council of Teachers of Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310315778'], 'host_organization_lineage_names': ['National Council of Teachers of Mathematics'], '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/W4315646767', 'https://openalex.org/W4300487223', 'https://openalex.org/W4292026839', 'https://openalex.org/W4249566265', 'https://openalex.org/W3217111044', 'https://openalex.org/W3006542548', 'https://openalex.org/W2332993499', 'https://openalex.org/W222839857', 'https://openalex.org/W2083427614', 'https://openalex.org/W2000297171'], 'abstract_inverted_index': {'A': [0], 'method': [1], 'for': [2], 'visualizing': [3], 'the': [4], 'complex': [5], 'roots': [6], 'of': [7], 'a': [8, 14, 19], 'polynomial': [9], 'equation,': [10], 'thereby': [11], 'making': [12], 'them': [13], 'little': [15, 20], 'more': [16], '“real”': [17], 'and': [18], 'less': [21], '“imaginary.”': [22]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W292276619', 'counts_by_year': [{'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-09-18T15:40:37.982232', 'created_date': '2016-06-24'}