{"id":"https://openalex.org/W195568664","doi":"https://doi.org/10.1007/11758525_63","title":"Automated Discovery in Elementary Extrema Problems","display_name":"Automated Discovery in Elementary Extrema Problems","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W195568664","doi":"https://doi.org/10.1007/11758525_63","mag":"195568664"},"language":"en","primary_location":{"id":"doi:10.1007/11758525_63","is_oa":true,"landing_page_url":"https://doi.org/10.1007/11758525_63","pdf_url":"https://link.springer.com/content/pdf/10.1007/11758525_63.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/11758525_63.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103150764","display_name":"Francisco Botana","orcid":"https://orcid.org/0000-0002-0212-6470"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Francisco Botana","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada I, Universidad de Vigo, Campus A Xunqueira, 36005, Pontevedra, Spain","Departamento de Matem\u00e1tica Aplicada I , Universidad de Vigo , Pontevedra , Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I, Universidad de Vigo, Campus A Xunqueira, 36005, Pontevedra, Spain","institution_ids":["https://openalex.org/I6289922"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I , Universidad de Vigo , Pontevedra , Spain","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051972743","display_name":"Jos\u00e9 L. Valcarce","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jos\u00e9 L. Valcarce","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, IES Pontepedri\u00f1a, 15702, Santiago, Spain","Departamento de Matem\u00e1ticas, IES Pontepedri\u00f1a, Santiago, Spain#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, IES Pontepedri\u00f1a, 15702, Santiago, Spain","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, IES Pontepedri\u00f1a, Santiago, Spain#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103150764"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05395611,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"470","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.996999979019165,"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":0.996999979019165,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.996999979019165,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/maxima-and-minima","display_name":"Maxima and minima","score":0.8592090606689453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6843909025192261},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.5561166405677795},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48941293358802795},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4812283515930176},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4712391793727875},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3578210473060608},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3378535211086273},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.22783219814300537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2039969563484192},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.135714590549469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07267630100250244}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.8592090606689453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6843909025192261},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.5561166405677795},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48941293358802795},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4812283515930176},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4712391793727875},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3578210473060608},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3378535211086273},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.22783219814300537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2039969563484192},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.135714590549469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07267630100250244},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11758525_63","is_oa":true,"landing_page_url":"https://doi.org/10.1007/11758525_63","pdf_url":"https://link.springer.com/content/pdf/10.1007/11758525_63.pdf","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":{"id":"doi:10.1007/11758525_63","is_oa":true,"landing_page_url":"https://doi.org/10.1007/11758525_63","pdf_url":"https://link.springer.com/content/pdf/10.1007/11758525_63.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W195568664.pdf","grobid_xml":"https://content.openalex.org/works/W195568664.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1524859767","https://openalex.org/W1567127902","https://openalex.org/W1576478178","https://openalex.org/W1602947049","https://openalex.org/W1794180414","https://openalex.org/W2004345512","https://openalex.org/W2031472277","https://openalex.org/W2082131304","https://openalex.org/W2103749931","https://openalex.org/W2146770832","https://openalex.org/W2480995471","https://openalex.org/W2482394638","https://openalex.org/W2496364950","https://openalex.org/W2906407074","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W171076485","https://openalex.org/W190919245","https://openalex.org/W2188428054","https://openalex.org/W2076597547","https://openalex.org/W2133396672","https://openalex.org/W2032816783","https://openalex.org/W4245291382","https://openalex.org/W2007616296","https://openalex.org/W2485420135","https://openalex.org/W2047821213"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
