{"id":"https://openalex.org/W1982150165","doi":"https://doi.org/10.1007/bf02187914","title":"A sylvester theorem for conic sections","display_name":"A sylvester theorem for conic sections","publication_year":1988,"publication_date":"1988-12-01","ids":{"openalex":"https://openalex.org/W1982150165","doi":"https://doi.org/10.1007/bf02187914","mag":"1982150165"},"language":"en","primary_location":{"id":"doi:10.1007/bf02187914","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187914","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187914.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/BF02187914.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017664392","display_name":"James A. Wiseman","orcid":"https://orcid.org/0000-0001-9880-1612"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James A. Wiseman","raw_affiliation_strings":["Department of Mathematics, Rochester Institute of Technology, 14623, Rochester, NY, USA","Department of Mathematics, Rochester Institute of Technology, Rochester, USA 14623#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rochester Institute of Technology, 14623, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"Department of Mathematics, Rochester Institute of Technology, Rochester, USA 14623#TAB#","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050271831","display_name":"Paul R. Wilson","orcid":null},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul R. Wilson","raw_affiliation_strings":["Department of Mathematics, Rochester Institute of Technology, 14623, Rochester, NY, USA","Department of Mathematics, Rochester Institute of Technology, Rochester, USA 14623#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rochester Institute of Technology, 14623, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"Department of Mathematics, Rochester Institute of Technology, Rochester, USA 14623#TAB#","institution_ids":["https://openalex.org/I155173764"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017664392"],"corresponding_institution_ids":["https://openalex.org/I155173764"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.10611907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"3","issue":"4","first_page":"295","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/conic-section","display_name":"Conic section","score":0.9786356687545776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8155328035354614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6709597706794739},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.47205930948257446},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.466670423746109},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44779396057128906},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24090799689292908},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1402716040611267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05842244625091553}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.9786356687545776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8155328035354614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6709597706794739},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.47205930948257446},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.466670423746109},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44779396057128906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24090799689292908},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1402716040611267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05842244625091553},{"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":[{"id":"doi:10.1007/bf02187914","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187914","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187914.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/bf02187914","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187914","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187914.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1982150165.pdf","grobid_xml":"https://content.openalex.org/works/W1982150165.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W89122021","https://openalex.org/W1558195771","https://openalex.org/W2011916405","https://openalex.org/W2026745357","https://openalex.org/W2061788258","https://openalex.org/W2089598749","https://openalex.org/W2319518804","https://openalex.org/W2326760432","https://openalex.org/W2331958153","https://openalex.org/W2332454821","https://openalex.org/W3026407818","https://openalex.org/W3199702052","https://openalex.org/W4235244481","https://openalex.org/W4240897641","https://openalex.org/W4248269519"],"related_works":["https://openalex.org/W4300566153","https://openalex.org/W2141075946","https://openalex.org/W1967096152","https://openalex.org/W2323914380","https://openalex.org/W1983767262","https://openalex.org/W3102517575","https://openalex.org/W3013412531","https://openalex.org/W2947386998","https://openalex.org/W2949682842","https://openalex.org/W2328740787"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}