{"id":"https://openalex.org/W4288449","doi":"https://doi.org/10.3217/jucs-015-06-1264","title":"Fine-computable Functions on the Unit Square and their Integral","display_name":"Fine-computable Functions on the Unit Square and their Integral","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W4288449","doi":"https://doi.org/10.3217/jucs-015-06-1264","mag":"4288449"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:7000757","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000757","pdf_url":"https://zenodo.org/record/7000757","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JUCS - Journal of Universal Computer Science 15((6)) 1264-1279","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/7000757","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109531246","display_name":"Mariko Yasugi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mariko Yasugi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103344782","display_name":"Takakazu Mori","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Takakazu Mori","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013216360","display_name":"Yoshiki Tsujii","orcid":"https://orcid.org/0009-0006-0468-7542"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoshiki Tsujii","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9950000047683716,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9950000047683716,"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":0.9314000010490417,"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/square","display_name":"Square (algebra)","score":0.7415221333503723},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.6447110772132874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5237210392951965},{"id":"https://openalex.org/keywords/unit-square","display_name":"Unit square","score":0.4623154103755951},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2414541244506836},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11386650800704956},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.0804356038570404}],"concepts":[{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.7415221333503723},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.6447110772132874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5237210392951965},{"id":"https://openalex.org/C7356347","wikidata":"https://www.wikidata.org/wiki/Q1307838","display_name":"Unit square","level":2,"score":0.4623154103755951},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2414541244506836},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11386650800704956},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0804356038570404}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:zenodo.org:7000757","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000757","pdf_url":"https://zenodo.org/record/7000757","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JUCS - Journal of Universal Computer Science 15((6)) 1264-1279","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3217/jucs-015-06-1264","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-015-06-1264","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"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:zenodo.org:7000757","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000757","pdf_url":"https://zenodo.org/record/7000757","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JUCS - Journal of Universal Computer Science 15((6)) 1264-1279","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4288449.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3161375928","https://openalex.org/W2022929595","https://openalex.org/W2798172748","https://openalex.org/W3134262452","https://openalex.org/W2030428607","https://openalex.org/W1662501275","https://openalex.org/W4301378414","https://openalex.org/W2949900893","https://openalex.org/W2296398547","https://openalex.org/W2110938502"],"abstract_inverted_index":{"We":[0],"discuss":[1],"the":[2,14],"integral":[3],"and":[4],"Fubini's":[5],"Theorem":[6],"for":[7],"a":[8,35],"Fine-computable":[9],"function":[10,36],"F(x,":[11],"y)":[12],"on":[13],"upper-right":[15],"open":[16],"unit":[17],"square":[18],"[0,":[19],"1)":[20],"x":[21,38],"[0,1).":[22,40],"The":[23],"core":[24],"objective":[25],"is":[26],"Fine-computability":[27],"of":[28,37],"f(x)":[29],"=":[30],"\u222b":[31],"[0,1)":[32],"F(x,y)dy":[33],"as":[34],"\u2208":[39]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}