{"id":"https://openalex.org/W2913499446","doi":"https://doi.org/10.1007/s10107-022-01869-6","title":"Tangencies and polynomial optimization","display_name":"Tangencies and polynomial optimization","publication_year":2022,"publication_date":"2022-07-27","ids":{"openalex":"https://openalex.org/W2913499446","doi":"https://doi.org/10.1007/s10107-022-01869-6","mag":"2913499446"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-022-01869-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01869-6","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.06041","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060254053","display_name":"Ti\u1ebfn-S\u01a1n Ph\u1ea1m","orcid":"https://orcid.org/0000-0003-3368-304X"},"institutions":[{"id":"https://openalex.org/I4210101969","display_name":"Dalat University","ror":"https://ror.org/014cke235","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210101969"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Ti\u1ebfn-S\u01a1n Ph\u1ea1m","raw_affiliation_strings":["Department of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Dalat, Vietnam"],"raw_orcid":"https://orcid.org/0000-0003-3368-304X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Dalat, Vietnam","institution_ids":["https://openalex.org/I4210101969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060254053"],"corresponding_institution_ids":["https://openalex.org/I4210101969"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1508,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.4404974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"199","issue":"1-2","first_page":"1239","last_page":"1272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9990000128746033,"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":0.9990000128746033,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9973000288009644,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.6853422522544861},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6444737911224365},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.609040379524231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5773331522941589},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4921852648258209},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.48628032207489014},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46823424100875854},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.46390339732170105},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4589328467845917},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.45867499709129333},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42235690355300903},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38039925694465637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36542636156082153},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28941798210144043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2321149706840515},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09186625480651855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08974799513816833}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.6853422522544861},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6444737911224365},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.609040379524231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5773331522941589},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4921852648258209},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.48628032207489014},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46823424100875854},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.46390339732170105},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4589328467845917},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.45867499709129333},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42235690355300903},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38039925694465637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36542636156082153},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28941798210144043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2321149706840515},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09186625480651855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08974799513816833},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-022-01869-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01869-6","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.06041","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.06041","pdf_url":"https://arxiv.org/pdf/1902.06041","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2913499446","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.06041","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1902.06041","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.06041","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.06041","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.06041","pdf_url":"https://arxiv.org/pdf/1902.06041","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3061928512","display_name":null,"funder_award_id":"101.04-2019.302","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"},{"id":"https://openalex.org/F4320324338","display_name":"Vietnam Institute for Advanced Study in Mathematics","ror":"https://ror.org/00jn6x547"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W404764422","https://openalex.org/W1120782848","https://openalex.org/W1538711547","https://openalex.org/W1539838732","https://openalex.org/W1559197676","https://openalex.org/W1592751003","https://openalex.org/W1984903186","https://openalex.org/W1996195522","https://openalex.org/W1999002553","https://openalex.org/W2009934967","https://openalex.org/W2035378589","https://openalex.org/W2037887312","https://openalex.org/W2049087128","https://openalex.org/W2052731183","https://openalex.org/W2057279466","https://openalex.org/W2070850517","https://openalex.org/W2071940220","https://openalex.org/W2094995801","https://openalex.org/W2105735474","https://openalex.org/W2111948593","https://openalex.org/W2165281529","https://openalex.org/W2321772449","https://openalex.org/W2557774354","https://openalex.org/W2618942645","https://openalex.org/W2789995434","https://openalex.org/W2793756349","https://openalex.org/W2796184855","https://openalex.org/W2963066791","https://openalex.org/W2963967579","https://openalex.org/W3038445536","https://openalex.org/W3123510251","https://openalex.org/W4293258886","https://openalex.org/W4299599836","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W2782048184","https://openalex.org/W2794846768","https://openalex.org/W2962846914","https://openalex.org/W2053990729","https://openalex.org/W2262047358","https://openalex.org/W2146867650","https://openalex.org/W2346033033","https://openalex.org/W3101684208","https://openalex.org/W2988723563","https://openalex.org/W2890081117","https://openalex.org/W2952576162","https://openalex.org/W1997708991","https://openalex.org/W2900150481","https://openalex.org/W94880162","https://openalex.org/W2884587121","https://openalex.org/W2980756638","https://openalex.org/W1971661110","https://openalex.org/W2086164960","https://openalex.org/W1509495848","https://openalex.org/W2147409254"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
