{"id":"https://openalex.org/W2020352655","doi":"https://doi.org/10.1145/1823931.1823943","title":"A continued fraction type method to find a rational number in a given closed interval whose denominator is minimal","display_name":"A continued fraction type method to find a rational number in a given closed interval whose denominator is minimal","publication_year":2010,"publication_date":"2010-06-24","ids":{"openalex":"https://openalex.org/W2020352655","doi":"https://doi.org/10.1145/1823931.1823943","mag":"2020352655"},"language":"en","primary_location":{"id":"doi:10.1145/1823931.1823943","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1823931.1823943","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5110781725","display_name":"Murakami Hiroshi","orcid":null},"institutions":[{"id":"https://openalex.org/I69740276","display_name":"Tokyo Metropolitan University","ror":"https://ror.org/00ws30h19","country_code":"JP","type":"education","lineage":["https://openalex.org/I69740276"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroshi Murakami","raw_affiliation_strings":["Tokyo Metropolitan University, 1-1, Minami-Osawa, Hachi-Oji, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Metropolitan University, 1-1, Minami-Osawa, Hachi-Oji, Tokyo, Japan","institution_ids":["https://openalex.org/I69740276"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110781725"],"corresponding_institution_ids":["https://openalex.org/I69740276"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10598589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"43","issue":"3/4","first_page":"88","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9904999732971191,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9904999732971191,"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/fraction","display_name":"Fraction (chemistry)","score":0.8483861684799194},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7805148363113403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7402165532112122},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.6486732959747314},{"id":"https://openalex.org/keywords/continued-fraction","display_name":"Continued fraction","score":0.5302281975746155},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.4922854006290436},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42344918847084045},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.340015709400177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31989043951034546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2954672873020172}],"concepts":[{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.8483861684799194},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7805148363113403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7402165532112122},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.6486732959747314},{"id":"https://openalex.org/C20080352","wikidata":"https://www.wikidata.org/wiki/Q206816","display_name":"Continued fraction","level":3,"score":0.5302281975746155},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.4922854006290436},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42344918847084045},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.340015709400177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31989043951034546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2954672873020172},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1823931.1823943","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1823931.1823943","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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":0,"referenced_works":[],"related_works":["https://openalex.org/W4281788122","https://openalex.org/W4293831958","https://openalex.org/W2801567004","https://openalex.org/W2557274167","https://openalex.org/W2110769336","https://openalex.org/W4285061386","https://openalex.org/W3006248430","https://openalex.org/W4296789255","https://openalex.org/W2963435808","https://openalex.org/W3152524194"],"abstract_inverted_index":{"We":[0],"show":[1],"a":[2,7,11,30],"fast":[3],"algorithm":[4,20],"to":[5,23],"find":[6],"rational":[8],"number":[9],"in":[10],"given":[12],"real":[13,31],"interval":[14],"whose":[15],"denominator":[16],"is":[17,21],"minimal.":[18],"The":[19],"similar":[22],"the":[24],"regular":[25],"continued":[26],"fraction":[27],"expansion":[28],"for":[29],"number.":[32]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
