{"id":"https://openalex.org/W1674785161","doi":"https://doi.org/10.1007/978-3-540-75187-8_31","title":"Distance Computation from an Ellipsoid to a Linear or a Quadric Surface in IR n","display_name":"Distance Computation from an Ellipsoid to a Linear or a Quadric Surface in IR n","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W1674785161","doi":"https://doi.org/10.1007/978-3-540-75187-8_31","mag":"1674785161"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-75187-8_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073938137","display_name":"Alexei Yu. Uteshev","orcid":"https://orcid.org/0000-0002-8344-3266"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexei Yu. Uteshev","raw_affiliation_strings":["Faculty of Applied Mathematics, St. Petersburg State University, Universitetskij pr. 35, Petrodvorets, St.Petersburg, Russia","Faculty of Applied Mathematics, St.-Petersburg State University, St.-Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, St. Petersburg State University, Universitetskij pr. 35, Petrodvorets, St.Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Faculty of Applied Mathematics, St.-Petersburg State University, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074211496","display_name":"M. V. Yashina","orcid":"https://orcid.org/0000-0001-8810-918X"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Marina V. Yashina","raw_affiliation_strings":["Faculty of Applied Mathematics, St. Petersburg State University, Universitetskij pr. 35, Petrodvorets, St.Petersburg, Russia","Faculty of Applied Mathematics, St.-Petersburg State University, St.-Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, St. Petersburg State University, Universitetskij pr. 35, Petrodvorets, St.Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Faculty of Applied Mathematics, St.-Petersburg State University, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073938137"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.13883259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"392","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9817000031471252,"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/quadric","display_name":"Quadric","score":0.891699492931366},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.8812702894210815},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.7871125936508179},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6865906715393066},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5778143405914307},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5455353856086731},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5224453806877136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5175685286521912},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4992341995239258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3859931230545044},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34807664155960083},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33053410053253174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32023727893829346},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2447620928287506},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.19911202788352966},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18419432640075684},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.08236965537071228}],"concepts":[{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.891699492931366},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.8812702894210815},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.7871125936508179},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6865906715393066},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5778143405914307},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5455353856086731},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5224453806877136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5175685286521912},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4992341995239258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3859931230545044},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34807664155960083},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33053410053253174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32023727893829346},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2447620928287506},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.19911202788352966},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18419432640075684},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.08236965537071228},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"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:10.1007/978-3-540-75187-8_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1945738378","https://openalex.org/W1984041868","https://openalex.org/W2017679634","https://openalex.org/W2079370437","https://openalex.org/W2330913512","https://openalex.org/W2610857016","https://openalex.org/W2970226205","https://openalex.org/W4205439813"],"related_works":["https://openalex.org/W2384882317","https://openalex.org/W2950567443","https://openalex.org/W1828158523","https://openalex.org/W2327777938","https://openalex.org/W2047547195","https://openalex.org/W2116952306","https://openalex.org/W2042243750","https://openalex.org/W2053002746","https://openalex.org/W2789794956","https://openalex.org/W3190081251"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
