{"id":"https://openalex.org/W1967906297","doi":"https://doi.org/10.1145/1277500.1277531","title":"A hybrid integral for parametrized rational functions","display_name":"A hybrid integral for parametrized rational functions","publication_year":2007,"publication_date":"2007-07-25","ids":{"openalex":"https://openalex.org/W1967906297","doi":"https://doi.org/10.1145/1277500.1277531","mag":"1967906297"},"language":"en","primary_location":{"id":"doi:10.1145/1277500.1277531","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1277500.1277531","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1277500.1277531","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 international workshop on Symbolic-numeric computation","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1277500.1277531","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100994048","display_name":"Hiroshi Kai","orcid":null},"institutions":[{"id":"https://openalex.org/I43545212","display_name":"Ehime University","ror":"https://ror.org/017hkng22","country_code":"JP","type":"education","lineage":["https://openalex.org/I43545212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Kai","raw_affiliation_strings":["Ehime University, Matsuyama, Ehime, Japan","Ehime University, Matsuyama, Ehime, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ehime University, Matsuyama, Ehime, Japan","institution_ids":["https://openalex.org/I43545212"]},{"raw_affiliation_string":"Ehime University, Matsuyama, Ehime, JAPAN","institution_ids":["https://openalex.org/I43545212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069323331","display_name":"Nanami Nakagawa","orcid":null},"institutions":[{"id":"https://openalex.org/I43545212","display_name":"Ehime University","ror":"https://ror.org/017hkng22","country_code":"JP","type":"education","lineage":["https://openalex.org/I43545212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nanami Nakagawa","raw_affiliation_strings":["Ehime University, Matsuyama, Ehime, Japan","Ehime University, Matsuyama, Ehime, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ehime University, Matsuyama, Ehime, Japan","institution_ids":["https://openalex.org/I43545212"]},{"raw_affiliation_string":"Ehime University, Matsuyama, Ehime, JAPAN","institution_ids":["https://openalex.org/I43545212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110237143","display_name":"Matu-Tarow Noda","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matu-Tarow Noda","raw_affiliation_strings":["Ehime Campus Information Service Co.,LTD. Matsuyama, Ehime, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ehime Campus Information Service Co.,LTD. Matsuyama, Ehime, Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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":0.08135169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"201","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9945999979972839,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9915000200271606,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.698561429977417},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.6922579407691956},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.6043218374252319},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5676447749137878},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5667104125022888},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.5421522259712219},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.507726788520813},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5024909973144531},{"id":"https://openalex.org/keywords/improper-integral","display_name":"Improper integral","score":0.5007555484771729},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.48912960290908813},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4482552707195282},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41204720735549927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3855181336402893},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09491178393363953},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.0752440094947815}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.698561429977417},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.6922579407691956},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.6043218374252319},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5676447749137878},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5667104125022888},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.5421522259712219},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.507726788520813},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5024909973144531},{"id":"https://openalex.org/C142017724","wikidata":"https://www.wikidata.org/wiki/Q464118","display_name":"Improper integral","level":4,"score":0.5007555484771729},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.48912960290908813},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4482552707195282},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41204720735549927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3855181336402893},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09491178393363953},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.0752440094947815},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1277500.1277531","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1277500.1277531","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1277500.1277531","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 international workshop on Symbolic-numeric computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/1277500.1277531","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1277500.1277531","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1277500.1277531","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 international workshop on Symbolic-numeric computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1967906297.pdf","grobid_xml":"https://content.openalex.org/works/W1967906297.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1974773425","https://openalex.org/W1990436029","https://openalex.org/W2026141146","https://openalex.org/W2041338390"],"related_works":["https://openalex.org/W2382091622","https://openalex.org/W325682659","https://openalex.org/W101037462","https://openalex.org/W2389952655","https://openalex.org/W2118560105","https://openalex.org/W2081496544","https://openalex.org/W2503953152","https://openalex.org/W2114064032","https://openalex.org/W2357968523","https://openalex.org/W4388323182"],"abstract_inverted_index":{"We":[0,26],"present":[1],"a":[2,24,44],"hybrid":[3,69],"integral":[4,12,46,59,70],"to":[5],"obtain":[6],"symbolic":[7,63],"results":[8,42],"of":[9,32,53,58,77],"an":[10,17],"indefinite":[11],"where":[13],"the":[14,33,68,74,78],"integrand":[15],"is":[16],"univariate":[18],"rational":[19],"function":[20],"whose":[21],"coeficients":[22],"have":[23],"parameter.":[25],"consider":[27],"calculating":[28],"power":[29,79],"series":[30,80],"roots":[31],"denominator":[34],"polynomial":[35],"by":[36,50],"applying":[37],"Hensel":[38],"construction.":[39],"Accurate":[40],"numerical":[41],"for":[43],"definite":[45],"are":[47],"easily":[48],"obtained":[49,61],"simple":[51],"substitutions":[52],"upper":[54],"and":[55],"lower":[56],"bounds":[57],"into":[60],"approximate":[62],"results.Numerical":[64],"experiments":[65],"show":[66],"that":[67],"works":[71],"well":[72],"around":[73],"expansion":[75],"point":[76],"roots.":[81]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}