{"id":"https://openalex.org/W2156916166","doi":"https://doi.org/10.1007/s11786-007-0003-9","title":"Testing Sign Conditions on a Multivariate Polynomial and Applications","display_name":"Testing Sign Conditions on a Multivariate Polynomial and Applications","publication_year":2007,"publication_date":"2007-10-22","ids":{"openalex":"https://openalex.org/W2156916166","doi":"https://doi.org/10.1007/s11786-007-0003-9","mag":"2156916166"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-007-0003-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-007-0003-9","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00105835","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048254079","display_name":"Mohab Safey El Din","orcid":"https://orcid.org/0000-0001-9463-1257"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mohab Safey El Din","raw_affiliation_strings":["University Pierre et Marie Curie LIP6 SPIRAL Team INRIA/LIP6/UPMC SALSA Project, 104, avenue du Pr\u00e9sident Kennedy, F-75016, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Pierre et Marie Curie LIP6 SPIRAL Team INRIA/LIP6/UPMC SALSA Project, 104, avenue du Pr\u00e9sident Kennedy, F-75016, Paris, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048254079"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I39804081"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":4.698,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.94983882,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"1","issue":"1","first_page":"177","last_page":"207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9886999726295471,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9681000113487244,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypersurface","display_name":"Hypersurface","score":0.762668251991272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.728359580039978},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5905765295028687},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5397428274154663},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5350775718688965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.525798499584198},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.46245336532592773},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4264844059944153},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12181255221366882},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08618763089179993}],"concepts":[{"id":"https://openalex.org/C114410712","wikidata":"https://www.wikidata.org/wiki/Q973321","display_name":"Hypersurface","level":2,"score":0.762668251991272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.728359580039978},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5905765295028687},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5397428274154663},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5350775718688965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.525798499584198},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.46245336532592773},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4264844059944153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12181255221366882},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08618763089179993},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11786-007-0003-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-007-0003-9","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.408.4025","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.408.4025","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-calfor.lip6.fr/~safey/Reports/Safey_mcs_sumbission.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.99.8594","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.99.8594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-calfor.lip6.fr/~safey/Articles/Safey_mcs_submission.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01148494v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01148494","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics in Computer Science, 2007, 1 (1), pp.177-207. ⟨10.1007/s11786-007-0003-9⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:inria-00105835v2","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00105835","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-5995, INRIA. 2006","raw_type":"info:eu-repo/semantics/report"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00105835v2","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00105835","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-5995, INRIA. 2006","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W138638854","https://openalex.org/W1485995001","https://openalex.org/W1494515121","https://openalex.org/W1504054803","https://openalex.org/W1518341038","https://openalex.org/W1519036660","https://openalex.org/W1520462245","https://openalex.org/W1564882753","https://openalex.org/W1574151794","https://openalex.org/W1828839365","https://openalex.org/W1978946312","https://openalex.org/W1979331937","https://openalex.org/W1991813962","https://openalex.org/W2001255903","https://openalex.org/W2001607364","https://openalex.org/W2006394656","https://openalex.org/W2007391649","https://openalex.org/W2011693299","https://openalex.org/W2012079420","https://openalex.org/W2018701055","https://openalex.org/W2019716938","https://openalex.org/W2022078407","https://openalex.org/W2023715740","https://openalex.org/W2037381995","https://openalex.org/W2039986663","https://openalex.org/W2040139795","https://openalex.org/W2077961479","https://openalex.org/W2080589685","https://openalex.org/W2082387287","https://openalex.org/W2089339786","https://openalex.org/W2104223485","https://openalex.org/W2112367193","https://openalex.org/W2126534535","https://openalex.org/W2128687423","https://openalex.org/W2130918732","https://openalex.org/W2151549243","https://openalex.org/W2909934176","https://openalex.org/W3048860127","https://openalex.org/W3217399827","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W834447687","https://openalex.org/W2950325999","https://openalex.org/W2040382607","https://openalex.org/W2154734935","https://openalex.org/W2952832090","https://openalex.org/W4300091438","https://openalex.org/W2263629155","https://openalex.org/W2019797417","https://openalex.org/W2055878129","https://openalex.org/W1895124089"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}