{"id":"https://openalex.org/W2054429708","doi":"https://doi.org/10.1016/0097-3165(84)90064-5","title":"A multiplication theorem for balanced howell rotations","display_name":"A multiplication theorem for balanced howell rotations","publication_year":1984,"publication_date":"1984-09-01","ids":{"openalex":"https://openalex.org/W2054429708","doi":"https://doi.org/10.1016/0097-3165(84)90064-5","mag":"2054429708"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(84)90064-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(84)90064-5","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5102089720","display_name":"Ding Zhu Du","orcid":null},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ding Zhu Du","raw_affiliation_strings":["Institute of Applied Mathematics, Academia Sinica, Beijing, China","Institute of Applied Mathematics, Academia Sinica, Beijing,  China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Academia Sinica, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"Institute of Applied Mathematics, Academia Sinica, Beijing,  China","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065344888","display_name":"F. K. Hwang","orcid":"https://orcid.org/0000-0003-3913-0198"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F.K Hwang","raw_affiliation_strings":["Bell Laboratories, Murray Hill, New Jersey USA","(Bell Laboratories, Murray Hill, New Jersey, USA)"],"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Murray Hill, New Jersey USA","institution_ids":[]},{"raw_affiliation_string":"(Bell Laboratories, Murray Hill, New Jersey, USA)","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102089720"],"corresponding_institution_ids":["https://openalex.org/I84653119"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15027009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"37","issue":"2","first_page":"121","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11705","display_name":"Gambling Behavior and Treatments","score":0.9696999788284302,"subfield":{"id":"https://openalex.org/subfields/3203","display_name":"Clinical Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11674","display_name":"Sports Analytics and Performance","score":0.9656999707221985,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.7056224346160889},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6327321529388428},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6293651461601257},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.35869061946868896},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3560376763343811},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3467023968696594},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33888643980026245},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32725831866264343},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12426134943962097}],"concepts":[{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.7056224346160889},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6327321529388428},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6293651461601257},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.35869061946868896},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3560376763343811},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3467023968696594},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33888643980026245},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32725831866264343},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12426134943962097}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(84)90064-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(84)90064-5","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2080071336","https://openalex.org/W2092925670","https://openalex.org/W2163870231","https://openalex.org/W2319149011","https://openalex.org/W4240668052","https://openalex.org/W4255401552"],"related_works":["https://openalex.org/W3093936885","https://openalex.org/W2994146737","https://openalex.org/W2036954759","https://openalex.org/W2057797376","https://openalex.org/W2090319426","https://openalex.org/W2506252583","https://openalex.org/W2048249848","https://openalex.org/W2260716361","https://openalex.org/W1987422982","https://openalex.org/W2029054571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}