{"id":"https://openalex.org/W2006636400","doi":"https://doi.org/10.1080/10586458.2001.10504434","title":"Experimental Approaches to Kuttner's Problem","display_name":"Experimental Approaches to Kuttner's Problem","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2006636400","doi":"https://doi.org/10.1080/10586458.2001.10504434","mag":"2006636400"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2001.10504434","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2001.10504434","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5046150465","display_name":"Tilmann Gneiting","orcid":"https://orcid.org/0000-0001-9397-3271"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tilmann Gneiting","raw_affiliation_strings":["University of Washington"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088686460","display_name":"Kjell Kanis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141370","display_name":"CTS Corporation (Czechia)","ror":"https://ror.org/051hq3021","country_code":"CZ","type":"company","lineage":["https://openalex.org/I4210104770","https://openalex.org/I4210141370"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Kjell Kanis","raw_affiliation_strings":["Insightful Corporation, Data Analysis Products Division","Insightful Corporation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Insightful Corporation, Data Analysis Products Division","institution_ids":["https://openalex.org/I4210141370"]},{"raw_affiliation_string":"Insightful Corporation","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015961133","display_name":"Donald Richards","orcid":"https://orcid.org/0000-0002-2254-4514"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Donald Richards","raw_affiliation_strings":["School of Mathematics, Institute for Advanced Study","University of Virginia","Statistics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study","institution_ids":[]},{"raw_affiliation_string":"University of Virginia","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"Statistics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2193,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75075988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"10","issue":"1","first_page":"117","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11476","display_name":"Graph theory and applications","score":0.9930999875068665,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9878000020980835,"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":0.9008505344390869},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5535168051719666},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5503876805305481},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5252030491828918},{"id":"https://openalex.org/keywords/power-function","display_name":"Power function","score":0.45684635639190674},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40979015827178955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32199132442474365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28178972005844116},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2080230414867401},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18043643236160278}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9008505344390869},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5535168051719666},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5503876805305481},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5252030491828918},{"id":"https://openalex.org/C16757182","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Power function","level":2,"score":0.45684635639190674},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40979015827178955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32199132442474365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28178972005844116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2080230414867401},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18043643236160278},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2001.10504434","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2001.10504434","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/999188426","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/999188426","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1506933769","https://openalex.org/W1541459046","https://openalex.org/W1562638189","https://openalex.org/W1631411152","https://openalex.org/W1720541938","https://openalex.org/W1957210600","https://openalex.org/W1971597992","https://openalex.org/W1981369400","https://openalex.org/W1991200719","https://openalex.org/W2009650958","https://openalex.org/W2015857191","https://openalex.org/W2058380384","https://openalex.org/W2060522708","https://openalex.org/W2147121392","https://openalex.org/W2157005274","https://openalex.org/W2313200692","https://openalex.org/W2324981577","https://openalex.org/W3119264854","https://openalex.org/W4252439817"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2380299022","https://openalex.org/W3017006102"],"abstract_inverted_index":{"For":[0],"\u03bb":[1],"\u220a":[2,52],"(0,2),":[3],"let":[4],"k(\u03bb)":[5,38],"denote":[6],"the":[7,15],"smallest":[8],"positive":[9,27],"value":[10],"of":[11,35],"k":[12,20,24],"so":[13],"that":[14,49],"truncated":[16],"power":[17],"function":[18,37],"\u03c6\u03bb,":[19],"(t)":[21],"=":[22],"(1-|t|\u03bb)":[23],"+":[25],"is":[26],"definite.":[28],"We":[29],"give":[30],"lower":[31],"and":[32,42,45],"upper":[33],"estimates":[34],"Kuttner's":[36],"through":[39],"detailed":[40],"numerical":[41],"symbolic":[43],"computations,":[44],"we":[46],"show":[47],"analytically":[48],"for":[50],"n":[51],"N.":[53]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}