{"id":"https://openalex.org/W1969219908","doi":"https://doi.org/10.1007/s11083-005-9006-9","title":"Linear Discrepancy of the Product of Two Chains","display_name":"Linear Discrepancy of the Product of Two Chains","publication_year":2005,"publication_date":"2005-02-01","ids":{"openalex":"https://openalex.org/W1969219908","doi":"https://doi.org/10.1007/s11083-005-9006-9","mag":"1969219908","pmid":"https://pubmed.ncbi.nlm.nih.gov/15881282"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-005-9006-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-005-9006-9","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sungpyo Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]},{"id":"https://openalex.org/I145673806","display_name":"Fujita Health University","ror":"https://ror.org/046f6cx68","country_code":"JP","type":"education","lineage":["https://openalex.org/I145673806"]}],"countries":["JP","KR"],"is_corresponding":false,"raw_author_name":"Sungpyo Hong","raw_affiliation_strings":["Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea","Department of Internal Medicine, Fujita Health University, School of Medicine, Toyoake, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Department of Internal Medicine, Fujita Health University, School of Medicine, Toyoake, Japan","institution_ids":["https://openalex.org/I145673806"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jong-Yoon Hyun","orcid":null},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]},{"id":"https://openalex.org/I145673806","display_name":"Fujita Health University","ror":"https://ror.org/046f6cx68","country_code":"JP","type":"education","lineage":["https://openalex.org/I145673806"]}],"countries":["JP","KR"],"is_corresponding":false,"raw_author_name":"Jong-Yoon Hyun","raw_affiliation_strings":["Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea","Fujita Health University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Fujita Health University","institution_ids":["https://openalex.org/I145673806"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hyun Kwang Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]},{"id":"https://openalex.org/I145673806","display_name":"Fujita Health University","ror":"https://ror.org/046f6cx68","country_code":"JP","type":"education","lineage":["https://openalex.org/I145673806"]}],"countries":["JP","KR"],"is_corresponding":false,"raw_author_name":"Hyun Kwang Kim","raw_affiliation_strings":["Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea","Fujita Health University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Fujita Health University","institution_ids":["https://openalex.org/I145673806"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sang-Mok Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I145673806","display_name":"Fujita Health University","ror":"https://ror.org/046f6cx68","country_code":"JP","type":"education","lineage":["https://openalex.org/I145673806"]},{"id":"https://openalex.org/I161024014","display_name":"Kwangwoon University","ror":"https://ror.org/02e9zc863","country_code":"KR","type":"education","lineage":["https://openalex.org/I161024014"]}],"countries":["JP","KR"],"is_corresponding":true,"raw_author_name":"Sang-Mok Kim","raw_affiliation_strings":["Division of General Education-Mathematics, Kwangwoon University, Seoul, 139-701, South Korea","Fujita Health University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of General Education-Mathematics, Kwangwoon University, Seoul, 139-701, South Korea","institution_ids":["https://openalex.org/I161024014"]},{"raw_affiliation_string":"Fujita Health University","institution_ids":["https://openalex.org/I145673806"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145673806","https://openalex.org/I161024014"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4917,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.63601225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"1","first_page":"63","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11571","display_name":"Sarcoidosis and Beryllium Toxicity Research","score":0.9103000164031982,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11571","display_name":"Sarcoidosis and Beryllium Toxicity Research","score":0.9103000164031982,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10728","display_name":"Pulmonary Hypertension Research and Treatments","score":0.004600000102072954,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11305","display_name":"Amyloidosis: Diagnosis, Treatment, Outcomes","score":0.004000000189989805,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/thinning","display_name":"Thinning","score":0.7143368124961853},{"id":"https://openalex.org/keywords/basal","display_name":"Basal (medicine)","score":0.7024000883102417},{"id":"https://openalex.org/keywords/interventricular-septum","display_name":"Interventricular septum","score":0.5832733511924744},{"id":"https://openalex.org/keywords/atrioventricular-block","display_name":"Atrioventricular block","score":0.5158981084823608},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5046199560165405},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.48548272252082825},{"id":"https://openalex.org/keywords/cardiology","display_name":"Cardiology","score":0.4384552836418152},{"id":"https://openalex.org/keywords/sarcoidosis","display_name":"Sarcoidosis","score":0.43543657660484314},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.3896723985671997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3878687620162964},{"id":"https://openalex.org/keywords/ventricle","display_name":"Ventricle","score":0.19714057445526123},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06757935881614685}],"concepts":[{"id":"https://openalex.org/C2781353100","wikidata":"https://www.wikidata.org/wiki/Q1266974","display_name":"Thinning","level":2,"score":0.7143368124961853},{"id":"https://openalex.org/C2778024521","wikidata":"https://www.wikidata.org/wiki/Q55639806","display_name":"Basal (medicine)","level":3,"score":0.7024000883102417},{"id":"https://openalex.org/C2779740085","wikidata":"https://www.wikidata.org/wiki/Q2397680","display_name":"Interventricular septum","level":3,"score":0.5832733511924744},{"id":"https://openalex.org/C2778557577","wikidata":"https://www.wikidata.org/wiki/Q300121","display_name":"Atrioventricular block","level":2,"score":0.5158981084823608},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5046199560165405},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.48548272252082825},{"id":"https://openalex.org/C164705383","wikidata":"https://www.wikidata.org/wiki/Q10379","display_name":"Cardiology","level":1,"score":0.4384552836418152},{"id":"https://openalex.org/C2781301800","wikidata":"https://www.wikidata.org/wiki/Q193894","display_name":"Sarcoidosis","level":2,"score":0.43543657660484314},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3896723985671997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3878687620162964},{"id":"https://openalex.org/C2778921608","wikidata":"https://www.wikidata.org/wiki/Q2002035","display_name":"Ventricle","level":2,"score":0.19714057445526123},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06757935881614685},{"id":"https://openalex.org/C2779306644","wikidata":"https://www.wikidata.org/wiki/Q2002370","display_name":"Insulin","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000328","descriptor_name":"Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000328","descriptor_name":"Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000328","descriptor_name":"Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004452","descriptor_name":"Echocardiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004452","descriptor_name":"Echocardiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004452","descriptor_name":"Echocardiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006327","descriptor_name":"Heart Block","qualifier_ui":"Q000209","qualifier_name":"etiology","is_major_topic":false},{"descriptor_ui":"D006327","descriptor_name":"Heart Block","qualifier_ui":"Q000209","qualifier_name":"etiology","is_major_topic":false},{"descriptor_ui":"D006327","descriptor_name":"Heart Block","qualifier_ui":"Q000209","qualifier_name":"etiology","is_major_topic":false},{"descriptor_ui":"D006327","descriptor_name":"Heart Block","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D006327","descriptor_name":"Heart Block","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D006327","descriptor_name":"Heart Block","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D006346","descriptor_name":"Heart Septum","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D006346","descriptor_name":"Heart Septum","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D006346","descriptor_name":"Heart Septum","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D006346","descriptor_name":"Heart Septum","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D006346","descriptor_name":"Heart Septum","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D006346","descriptor_name":"Heart Septum","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012507","descriptor_name":"Sarcoidosis","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D012507","descriptor_name":"Sarcoidosis","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D012507","descriptor_name":"Sarcoidosis","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D012507","descriptor_name":"Sarcoidosis","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D012507","descriptor_name":"Sarcoidosis","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D012507","descriptor_name":"Sarcoidosis","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1007/s11083-005-9006-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-005-9006-9","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},{"id":"pmid:15881282","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15881282","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sarcoidosis, vasculitis, and diffuse lung diseases : official journal of WASOG","raw_type":null},{"id":"pmh:oai:oasis.postech.ac.kr:2014.oak/29606","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/29606","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321282","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12"},{"id":"https://openalex.org/F4320322348","display_name":"Korea Science and Engineering Foundation","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W51549503","https://openalex.org/W53942402","https://openalex.org/W1603384057"],"related_works":["https://openalex.org/W2357280244","https://openalex.org/W4283836740","https://openalex.org/W1573752787","https://openalex.org/W2072657584","https://openalex.org/W2989655533","https://openalex.org/W2350998906","https://openalex.org/W2375223689","https://openalex.org/W2085241531","https://openalex.org/W2337991629","https://openalex.org/W2415972633"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2016-06-24T00:00:00"}