{"id":"https://openalex.org/W2096483405","doi":"https://doi.org/10.22517/23447214.497","title":"UN PROBLEMA DE TIPO ISOPERIMETRICO PARA TRIANGULOS","display_name":"UN PROBLEMA DE TIPO ISOPERIMETRICO PARA TRIANGULOS","publication_year":2011,"publication_date":"2011-04-30","ids":{"openalex":"https://openalex.org/W2096483405","doi":"https://doi.org/10.22517/23447214.497","mag":"2096483405"},"language":"es","primary_location":{"id":"pmh:oai:revistas.utp.edu.co:article/497","doi":"https://doi.org/10.22517/23447214.497","is_oa":true,"landing_page_url":"https://revistas.utp.edu.co/index.php/revistaciencia/article/view/497","pdf_url":null,"source":{"id":"https://openalex.org/S4306529292","display_name":"Scientia et technica","issn_l":"0122-1701","issn":["0122-1701","2344-7214"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["publindex-b"],"host_organization":"https://openalex.org/I200183955","host_organization_name":"Universidad Tecnol\u00f3gica de Pereira","host_organization_lineage":["https://openalex.org/I200183955"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0122-1701","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://revistas.utp.edu.co/index.php/revistaciencia/article/view/497","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059276527","display_name":"S Carlos A Escudero","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S Carlos A Escudero","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078101711","display_name":"Yuri A. Poveda","orcid":"https://orcid.org/0000-0001-8203-7330","observed_orcids":["https://orcid.org/0000-0001-8203-7330"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuri A. Poveda","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8203-7330","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5025703117","display_name":"Edgar Alirio Valencia","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Edgar A. Valencia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19508626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":"47","first_page":"259","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.76419997215271,"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":0.76419997215271,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.08070000261068344,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.035999998450279236,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/isoperimetric-problem","display_name":"isoperimetric problem","score":0.9860000014305115},{"id":"https://openalex.org/keywords/triangles","display_name":"triangles","score":0.878000020980835},{"id":"https://openalex.org/keywords/equilateral-triangle","display_name":"equilateral triangle","score":0.9570000171661377},{"id":"https://openalex.org/keywords/perimeter","display_name":"perimeter","score":0.574999988079071},{"id":"https://openalex.org/keywords/area","display_name":"area","score":0.6759999990463257},{"id":"https://openalex.org/keywords/calculus-of-variations","display_name":"calculus of variations","score":0.8299999833106995},{"id":"https://openalex.org/keywords/integral-equations","display_name":"integral equations","score":0.6129999756813049},{"id":"https://openalex.org/keywords/plane-geometry","display_name":"plane geometry","score":0.46299999952316284}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.7186433672904968},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.5686976909637451},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3805496394634247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3280905485153198}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:revistas.utp.edu.co:article/497","doi":"https://doi.org/10.22517/23447214.497","is_oa":true,"landing_page_url":"https://revistas.utp.edu.co/index.php/revistaciencia/article/view/497","pdf_url":null,"source":{"id":"https://openalex.org/S4306529292","display_name":"Scientia et technica","issn_l":"0122-1701","issn":["0122-1701","2344-7214"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["publindex-b"],"host_organization":"https://openalex.org/I200183955","host_organization_name":"Universidad Tecnol\u00f3gica de Pereira","host_organization_lineage":["https://openalex.org/I200183955"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0122-1701","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ojs.utp.edu.co:article/497","doi":"https://doi.org/10.22517/23447214.497","is_oa":true,"landing_page_url":"http://revistas.utp.edu.co/index.php/revistaciencia/article/view/497","pdf_url":"http://revistas.utp.edu.co/index.php/revistaciencia/article/view/497","source":{"id":"https://openalex.org/S4306401714","display_name":"Scientia et technica (Universidad Tecnol\u00f3gica de Pereira)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I200183955","host_organization_name":"Universidad Tecnol\u00f3gica de Pereira","host_organization_lineage":["https://openalex.org/I200183955"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scientia et technica; Vol. 1, N\u00c3\u00bam. 47 (2011); 259 - 263","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dialnet.unirioja.es:ART0000604582","doi":null,"is_oa":false,"landing_page_url":"http://dialnet.unirioja.es/servlet/oaiart?codigo=4526276","pdf_url":null,"source":{"id":"https://openalex.org/S4306401293","display_name":"Dialnet (Universidad de la Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I168974976","host_organization_name":"Universidad de La Rioja","host_organization_lineage":["https://openalex.org/I168974976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scientia et Technica, ISSN 0122-1701, Vol. 1, N\u00ba. 47, 2011, pags. 259-263","raw_type":"text (article)"},{"id":"pmh:oai:redalyc.org:84921327043","doi":null,"is_oa":false,"landing_page_url":"https://www.redalyc.org/articulo.oa?id=84921327043","pdf_url":null,"source":{"id":"https://openalex.org/S4377196100","display_name":"Redalyc (Universidad Aut\u00f3noma del Estado de M\u00e9xico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I179647637","host_organization_name":"Universidad Aut\u00f3noma del Estado de M\u00e9xico","host_organization_lineage":["https://openalex.org/I179647637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scientia Et Technica (Colombia) Num.47 Vol.XVII","raw_type":"art\u00edculo cient\u00edfico"},{"id":"mag:2096483405","doi":"https://doi.org/10.22517/23447214.497","is_oa":true,"landing_page_url":"https://dialnet.unirioja.es/descarga/articulo/4526276.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306529292","display_name":"Scientia et technica","issn_l":"0122-1701","issn":["0122-1701","2344-7214"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["publindex-b"],"host_organization":"https://openalex.org/I200183955","host_organization_name":"Universidad Tecnol\u00f3gica de Pereira","host_organization_lineage":["https://openalex.org/I200183955"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Scientia et technica","raw_type":null}],"best_oa_location":{"id":"pmh:oai:revistas.utp.edu.co:article/497","doi":"https://doi.org/10.22517/23447214.497","is_oa":true,"landing_page_url":"https://revistas.utp.edu.co/index.php/revistaciencia/article/view/497","pdf_url":null,"source":{"id":"https://openalex.org/S4306529292","display_name":"Scientia et technica","issn_l":"0122-1701","issn":["0122-1701","2344-7214"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["publindex-b"],"host_organization":"https://openalex.org/I200183955","host_organization_name":"Universidad Tecnol\u00f3gica de Pereira","host_organization_lineage":["https://openalex.org/I200183955"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0122-1701","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2096483405.pdf","grobid_xml":"https://content.openalex.org/works/W2096483405.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1565212980","https://openalex.org/W1987630213","https://openalex.org/W1996931690","https://openalex.org/W2021204697","https://openalex.org/W2316945975"],"related_works":["https://openalex.org/W7120391583","https://openalex.org/W4248349111","https://openalex.org/W986299572","https://openalex.org/W7038952495","https://openalex.org/W3007582995","https://openalex.org/W2136469296","https://openalex.org/W2269295083","https://openalex.org/W7120749925","https://openalex.org/W3195880920","https://openalex.org/W2220502658"],"abstract_inverted_index":{"En":[0],"este":[1,98],"art\u00edculo":[2,99],"demostraremos":[3],"el":[4,15,18,66,101,117],"siguiente":[5],"problema":[6,37],"isoperim\u00e9trico.":[7],"De":[8],"todos":[9],"los":[10,24,30],"tri\u00e1ngulos":[11],"de":[12,23,26,29,42,54,74,109],"per\u00edmetro":[13],"dado":[14],"equil\u00e1tero":[16],"es":[17,69],"que":[19,65],"tiene":[20],"suma":[21],"m\u00e1xima":[22],"inversos":[25],"las":[27,75],"longitudes":[28],"lados":[31],"multiplicado":[32],"por":[33,91,94],"su":[34],"\u00e1rea.":[35],"Este":[36],"constituye":[38],"un":[39,70,81],"modelo":[40],"inicial":[41],"la":[43,110],"teor\u00eda":[44,60],"del":[45,62],"c\u00e1lculo":[46,67],"variacional":[47,68],"donde":[48],"se":[49,78],"estudian":[50],"m\u00ednimos":[51],"o":[52],"m\u00e1ximos":[53],"funciones":[55],"usando":[56,105],"ecuaciones":[57,85],"integrales":[58],"y":[59,87],"cl\u00e1sica":[61],"an\u00e1lisis.":[63],"Sabemos":[64],"\u00e1rea":[71],"muy":[72,107],"elegante":[73],"matem\u00e1ticas":[76],"pero":[77],"necesita":[79],"tener":[80],"bagaje":[82],"amplio":[83],"en":[84,97,120],"diferenciales":[86],"an\u00e1lisis":[88],"moderno,":[89],"mirar":[90],"ejemplo":[92],"[6],":[93],"tanto":[95],"pretendemos":[96],"realizar":[100],"problemas":[102],"antes":[103],"dicho":[104],"resultados":[106],"elementales":[108],"geometr\u00eda":[111],"euclidiana":[112],"plana":[113],"como":[114],"lo":[115],"hace":[116],"profesor":[118],"Santal\u00f3":[119],"[5].":[121]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}