{"id":"https://openalex.org/W2472462801","doi":"https://doi.org/10.3233/com-160063","title":"On subrecursive representability of irrational numbers","display_name":"On subrecursive representability of irrational numbers","publication_year":2016,"publication_date":"2016-07-14","ids":{"openalex":"https://openalex.org/W2472462801","doi":"https://doi.org/10.3233/com-160063","mag":"2472462801"},"language":"en","primary_location":{"id":"doi:10.3233/com-160063","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-160063","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10852/54650","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063909629","display_name":"Lars Kristiansen","orcid":"https://orcid.org/0000-0002-6749-4004"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Lars Kristiansen","raw_affiliation_strings":["Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, NO-0316 Oslo, Norway","Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, NO-0316 Oslo, Norway","Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, NO-0316 Oslo, Norway. larsk@math.uio.no"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, NO-0316 Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]},{"raw_affiliation_string":"Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, NO-0316 Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]},{"raw_affiliation_string":"Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, NO-0316 Oslo, Norway. larsk@math.uio.no","institution_ids":["https://openalex.org/I184942183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063909629"],"corresponding_institution_ids":["https://openalex.org/I184942183"],"apc_list":null,"apc_paid":null,"fwci":1.0814,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8020916,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"6","issue":"3","first_page":"249","last_page":"276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9843999743461609,"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/irrational-number","display_name":"Irrational number","score":0.7768908739089966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4541381001472473},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.039177149534225464}],"concepts":[{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.7768908739089966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4541381001472473},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.039177149534225464}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/com-160063","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-160063","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},{"id":"pmh:oai:www.duo.uio.no:10852/54650","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/54650","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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":"2211-3568","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.duo.uio.no:10852/54650","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/54650","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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":"2211-3568","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W293447284","https://openalex.org/W655080303","https://openalex.org/W1501334285","https://openalex.org/W1579247651","https://openalex.org/W1972276887","https://openalex.org/W1975452830","https://openalex.org/W1991290922","https://openalex.org/W2003918494","https://openalex.org/W2015272527","https://openalex.org/W2020164082","https://openalex.org/W2033642714","https://openalex.org/W2035245701","https://openalex.org/W2038671477","https://openalex.org/W2052456033","https://openalex.org/W2144393342","https://openalex.org/W2144600960","https://openalex.org/W2186805718","https://openalex.org/W2295875602","https://openalex.org/W2611511037","https://openalex.org/W2616606085","https://openalex.org/W3022059637","https://openalex.org/W3038928148","https://openalex.org/W4213412932","https://openalex.org/W4231629838","https://openalex.org/W4243563333","https://openalex.org/W4298287102"],"related_works":["https://openalex.org/W2073353523","https://openalex.org/W1967818498","https://openalex.org/W2040463751","https://openalex.org/W1994574086","https://openalex.org/W2953546998","https://openalex.org/W2092173841","https://openalex.org/W1999184008","https://openalex.org/W2025487773","https://openalex.org/W2163417477","https://openalex.org/W4381331289"],"abstract_inverted_index":{"We":[0,55],"consider":[1],"various":[2],"ways":[3],"to":[4],"represent":[5],"irrational":[6,39],"numbers":[7,40],"by":[8,60],"subrecursive":[9,34],"functions:":[10],"via":[11],"Cauchy":[12],"sequences,":[13],"Dedekind":[14],"cuts,":[15],"trace":[16],"functions,":[17],"several":[18],"variants":[19],"of":[20,33,38],"sum":[21],"approximations":[22],"and":[23],"continued":[24],"fractions.":[25],"Let":[26],"[Formula:":[27,48],"see":[28,49],"text]":[29,50],"be":[30,43],"a":[31],"class":[32],"functions.":[35],"The":[36],"set":[37],"that":[41],"can":[42],"obtained":[44,59],"with":[45],"functions":[46],"from":[47],"depends":[51],"on":[52],"the":[53,57,61],"representation.":[54],"compare":[56],"sets":[58],"different":[62],"representations.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}