{"id":"https://openalex.org/W4285264913","doi":"https://doi.org/10.1007/978-3-031-08740-0_6","title":"Lower Bounds on $$\\beta (\\alpha )$$","display_name":"Lower Bounds on $$\\beta (\\alpha )$$","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4285264913","doi":"https://doi.org/10.1007/978-3-031-08740-0_6"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-08740-0_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-08740-0_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5102785391","display_name":"Merlin Carl","orcid":"https://orcid.org/0000-0002-4972-4240"},"institutions":[{"id":"https://openalex.org/I200252411","display_name":"Europa-Universit\u00e4t Flensburg","ror":"https://ror.org/046e0mt33","country_code":"DE","type":"education","lineage":["https://openalex.org/I200252411"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Merlin Carl","raw_affiliation_strings":["Institut f\u00fcr mathematische, naturwissenschaftliche und technische Bildung, Abteilung f\u00fcr Mathematik und ihre Didaktik, Europa-Universit\u00e4t Flensburg, Flensburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr mathematische, naturwissenschaftliche und technische Bildung, Abteilung f\u00fcr Mathematik und ihre Didaktik, Europa-Universit\u00e4t Flensburg, Flensburg, Germany","institution_ids":["https://openalex.org/I200252411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102785391"],"corresponding_institution_ids":["https://openalex.org/I200252411"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28964401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"64","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991999864578247,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991999864578247,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9962000250816345,"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/alpha","display_name":"Alpha (finance)","score":0.7205614447593689},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.7177568674087524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3143402934074402},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2650429606437683},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13997340202331543},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0727643072605133}],"concepts":[{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.7205614447593689},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.7177568674087524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3143402934074402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2650429606437683},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13997340202331543},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0727643072605133},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-08740-0_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-08740-0_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1457303840","https://openalex.org/W1579817075","https://openalex.org/W1933515991","https://openalex.org/W1983284023","https://openalex.org/W2001043560","https://openalex.org/W2053348590","https://openalex.org/W2122659273","https://openalex.org/W2611460981","https://openalex.org/W2912644765","https://openalex.org/W2975027772","https://openalex.org/W3178947426","https://openalex.org/W3201105272","https://openalex.org/W4247585886","https://openalex.org/W4296119740"],"related_works":["https://openalex.org/W2461754875","https://openalex.org/W2467787427","https://openalex.org/W2317701797","https://openalex.org/W986421643","https://openalex.org/W2321404138","https://openalex.org/W2305072774","https://openalex.org/W2416108297","https://openalex.org/W1970315261","https://openalex.org/W3047732266","https://openalex.org/W871102734"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}