Publication Information

{'id': 'https://openalex.org/W790265677', 'doi': None, 'title': 'Classifcation of Conics in the Tropical Projective Plane', 'display_name': 'Classifcation of Conics in the Tropical Projective Plane', 'publication_year': 2005, 'publication_date': '2005-01-01', 'ids': {'openalex': 'https://openalex.org/W790265677', 'mag': '790265677'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1696&context=etd', 'pdf_url': None, 'source': None, '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/A5018568646', 'display_name': 'Amanda Ellis', 'orcid': 'https://orcid.org/0000-0002-0053-5641'}, 'institutions': [{'id': 'https://openalex.org/I100005738', 'display_name': 'Brigham Young University', 'ror': 'https://ror.org/047rhhm47', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I100005738']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Amanda Ellis', 'raw_affiliation_strings': ['Brigham Young Univ'], 'affiliations': [{'raw_affiliation_string': 'Brigham Young Univ', 'institution_ids': ['https://openalex.org/I100005738']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5018568646'], 'corresponding_institution_ids': ['https://openalex.org/I100005738'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.322, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.389709, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 61, 'max': 68}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9994, '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/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9994, '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/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9524, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9443, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/conic-section', 'display_name': 'Conic section', 'score': 0.92828435}, {'id': 'https://openalex.org/keywords/real-projective-plane', 'display_name': 'Real projective plane', 'score': 0.62801224}, {'id': 'https://openalex.org/keywords/pencil', 'display_name': 'Pencil (optics)', 'score': 0.6270484}, {'id': 'https://openalex.org/keywords/fano-plane', 'display_name': 'Fano plane', 'score': 0.54439175}, {'id': 'https://openalex.org/keywords/tropical-geometry', 'display_name': 'Tropical Geometry', 'score': 0.5166295}, {'id': 'https://openalex.org/keywords/line-at-infinity', 'display_name': 'Line at infinity', 'score': 0.4113681}], 'concepts': [{'id': 'https://openalex.org/C108598597', 'wikidata': 'https://www.wikidata.org/wiki/Q124255', 'display_name': 'Conic section', 'level': 2, 'score': 0.92828435}, {'id': 'https://openalex.org/C39290043', 'wikidata': 'https://www.wikidata.org/wiki/Q1475760', 'display_name': 'Projective plane', 'level': 3, 'score': 0.84577787}, {'id': 'https://openalex.org/C75280867', 'wikidata': 'https://www.wikidata.org/wiki/Q877775', 'display_name': 'Projective space', 'level': 3, 'score': 0.6919122}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.67773527}, {'id': 'https://openalex.org/C37470923', 'wikidata': 'https://www.wikidata.org/wiki/Q633815', 'display_name': 'Real projective plane', 'level': 5, 'score': 0.62801224}, {'id': 'https://openalex.org/C134949993', 'wikidata': 'https://www.wikidata.org/wiki/Q2068617', 'display_name': 'Pencil (optics)', 'level': 2, 'score': 0.6270484}, {'id': 'https://openalex.org/C39757861', 'wikidata': 'https://www.wikidata.org/wiki/Q1395814', 'display_name': 'Fano plane', 'level': 2, 'score': 0.54439175}, {'id': 'https://openalex.org/C177846678', 'wikidata': 'https://www.wikidata.org/wiki/Q1501864', 'display_name': 'Projective test', 'level': 2, 'score': 0.5396592}, {'id': 'https://openalex.org/C202652594', 'wikidata': 'https://www.wikidata.org/wiki/Q2982669', 'display_name': 'Tropical geometry', 'level': 2, 'score': 0.5166295}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4560821}, {'id': 'https://openalex.org/C185362025', 'wikidata': 'https://www.wikidata.org/wiki/Q177409', 'display_name': 'Projective geometry', 'level': 3, 'score': 0.4417847}, {'id': 'https://openalex.org/C17825722', 'wikidata': 'https://www.wikidata.org/wiki/Q17285', 'display_name': 'Plane (geometry)', 'level': 2, 'score': 0.43892917}, {'id': 'https://openalex.org/C15751092', 'wikidata': 'https://www.wikidata.org/wiki/Q2130665', 'display_name': 'Line at infinity', 'level': 5, 'score': 0.4113681}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.40823415}, {'id': 'https://openalex.org/C132702353', 'wikidata': 'https://www.wikidata.org/wiki/Q2538404', 'display_name': 'Complex projective space', 'level': 4, 'score': 0.4012964}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.24451923}, {'id': 'https://openalex.org/C68363185', 'wikidata': 'https://www.wikidata.org/wiki/Q180969', 'display_name': 'Algebraic geometry', 'level': 2, 'score': 0.11706531}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.1101453}, {'id': 'https://openalex.org/C120665830', 'wikidata': 'https://www.wikidata.org/wiki/Q14620', 'display_name': 'Optics', 'level': 1, 'score': 0.08462757}, {'id': 'https://openalex.org/C117220453', 'wikidata': 'https://www.wikidata.org/wiki/Q5172842', 'display_name': 'Correlation', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1696&context=etd', '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': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 1, 'referenced_works': ['https://openalex.org/W1609080720'], 'related_works': ['https://openalex.org/W43267294', 'https://openalex.org/W365379550', 'https://openalex.org/W33746418', 'https://openalex.org/W3048062580', 'https://openalex.org/W3017621005', 'https://openalex.org/W2999002656', 'https://openalex.org/W2797518593', 'https://openalex.org/W2797181745', 'https://openalex.org/W2590462489', 'https://openalex.org/W2564265082', 'https://openalex.org/W2515003676', 'https://openalex.org/W2502262580', 'https://openalex.org/W2485387260', 'https://openalex.org/W2485054039', 'https://openalex.org/W2325627641', 'https://openalex.org/W2209501237', 'https://openalex.org/W2088814439', 'https://openalex.org/W2016820794', 'https://openalex.org/W1985023024', 'https://openalex.org/W1604961637'], 'abstract_inverted_index': {'CLASSIFICATION': [0], 'OF': [1], 'CONICS': [2], 'IN': [3], 'THE': [4], 'TROPICAL': [5], 'PROJECTIVE': [6], 'PLANE': [7], 'Amanda': [8], 'Ellis': [9], 'Department': [10], 'of': [11, 14, 36, 57, 62], 'Mathematics': [12], 'Master': [13], 'Science': [15], 'This': [16], 'paper': [17], 'defines': [18], 'tropical': [19, 25, 37, 52], 'projective': [20, 26, 53], 'space,': [21], 'TP,': [22], 'and': [23, 39, 59], 'the': [24, 51, 63], 'general': [27], 'linear': [28], 'group': [29], 'TPGL(n).': [30], 'After': [31], 'discussing': [32], 'some': [33], 'simple': [34], 'examples': [35], 'polynomials': [38], 'their': [40], 'hypersurfaces,': [41], 'a': [42], 'strategy': [43], 'is': [44, 70], 'given': [45], 'for': [46], 'finding': [47], 'all': [48], 'conics': [49, 58, 69], 'in': [50], 'plane.': [54], 'The': [55], 'classification': [56], 'an': [60], 'analysis': [61], 'coefficient': [64], 'space': [65], 'corresponding': [66], 'to': [67], 'such': [68], 'given.': [71]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W790265677', 'counts_by_year': [], 'updated_date': '2024-12-14T13:47:50.447715', 'created_date': '2016-06-24'}