{"id":"https://openalex.org/W2046021909","doi":"https://doi.org/10.1007/s006070170012","title":"Relatively Computable Functions of Real Variables","display_name":"Relatively Computable Functions of Real Variables","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W2046021909","doi":"https://doi.org/10.1007/s006070170012","mag":"2046021909"},"language":"en","primary_location":{"id":"doi:10.1007/s006070170012","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070170012","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101478629","display_name":"Qing Zhou","orcid":"https://orcid.org/0000-0001-6354-5153"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qing Zhou","raw_affiliation_strings":["The Software Institute Zhongshan University Guangzhou, Guangdong, 510275 P.R.China e-mail: lnszq@zsulink.zsu.edu.cn, , , , , , CN","The Software Institute Zhongshan University Guangzhou, Guangdong, 510275 P.R.China e-mail: lnszq@zsulink.zsu.edu.cn, CN"],"affiliations":[{"raw_affiliation_string":"The Software Institute Zhongshan University Guangzhou, Guangdong, 510275 P.R.China e-mail: lnszq@zsulink.zsu.edu.cn, , , , , , CN","institution_ids":["https://openalex.org/I4210128818"]},{"raw_affiliation_string":"The Software Institute Zhongshan University Guangzhou, Guangdong, 510275 P.R.China e-mail: lnszq@zsulink.zsu.edu.cn, CN","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101478629"],"corresponding_institution_ids":["https://openalex.org/I157773358","https://openalex.org/I4210128818"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1662579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"2","first_page":"167","last_page":"181"},"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/T11567","display_name":"semigroups and automata theory","score":0.9710000157356262,"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/T12162","display_name":"Cellular Automata and Applications","score":0.965399980545044,"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/computable-analysis","display_name":"Computable analysis","score":0.9731231331825256},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.9095274209976196},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.8523545265197754},{"id":"https://openalex.org/keywords/computable-number","display_name":"Computable number","score":0.7338137626647949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6134923696517944},{"id":"https://openalex.org/keywords/real-analysis","display_name":"Real analysis","score":0.5316617488861084},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.4529430568218231},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4281246066093445},{"id":"https://openalex.org/keywords/gap-theorem","display_name":"Gap theorem","score":0.42245206236839294},{"id":"https://openalex.org/keywords/real-valued-function","display_name":"Real-valued function","score":0.4222484827041626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4021586775779724},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39112791419029236},{"id":"https://openalex.org/keywords/fundamental-theorem","display_name":"Fundamental theorem","score":0.10702699422836304},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.10325160622596741},{"id":"https://openalex.org/keywords/fundamental-theorem-of-calculus","display_name":"Fundamental theorem of calculus","score":0.09299257397651672}],"concepts":[{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.9731231331825256},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.9095274209976196},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.8523545265197754},{"id":"https://openalex.org/C156382255","wikidata":"https://www.wikidata.org/wiki/Q818895","display_name":"Computable number","level":4,"score":0.7338137626647949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6134923696517944},{"id":"https://openalex.org/C1911482","wikidata":"https://www.wikidata.org/wiki/Q854531","display_name":"Real analysis","level":2,"score":0.5316617488861084},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.4529430568218231},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4281246066093445},{"id":"https://openalex.org/C3853638","wikidata":"https://www.wikidata.org/wiki/Q1314081","display_name":"Gap theorem","level":5,"score":0.42245206236839294},{"id":"https://openalex.org/C130231550","wikidata":"https://www.wikidata.org/wiki/Q5189500","display_name":"Real-valued function","level":2,"score":0.4222484827041626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4021586775779724},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39112791419029236},{"id":"https://openalex.org/C194886279","wikidata":"https://www.wikidata.org/wiki/Q430271","display_name":"Fundamental theorem","level":3,"score":0.10702699422836304},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.10325160622596741},{"id":"https://openalex.org/C81150689","wikidata":"https://www.wikidata.org/wiki/Q1217677","display_name":"Fundamental theorem of calculus","level":4,"score":0.09299257397651672}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s006070170012","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070170012","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W220096824","https://openalex.org/W1497475168","https://openalex.org/W2079942928","https://openalex.org/W2500837594","https://openalex.org/W2977904728"],"related_works":["https://openalex.org/W2007775665","https://openalex.org/W2150482238","https://openalex.org/W2962816983","https://openalex.org/W1498085647","https://openalex.org/W2080359559","https://openalex.org/W2158020605","https://openalex.org/W4206028083","https://openalex.org/W4241646449","https://openalex.org/W4206289504","https://openalex.org/W2046021909"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}