{"id":"https://openalex.org/W2150772335","doi":"https://doi.org/10.1109/tc.1973.5009106","title":"The Status of Investigations into Computer Hardware Design Based on the Use of Continued Fractions","display_name":"The Status of Investigations into Computer Hardware Design Based on the Use of Continued Fractions","publication_year":1973,"publication_date":"1973-06-01","ids":{"openalex":"https://openalex.org/W2150772335","doi":"https://doi.org/10.1109/tc.1973.5009106","mag":"2150772335"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1973.5009106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009106","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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/A5112666383","display_name":"James E. Robertson","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James E. Robertson","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036851432","display_name":"Kishor S. Trivedi","orcid":"https://orcid.org/0000-0001-7396-6330"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kishor S. Trivedi","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.55,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.69099757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"C-22","issue":"6","first_page":"555","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9955000281333923,"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":0.9955000281333923,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9388999938964844,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9236000180244446,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/computer-science","display_name":"Computer science","score":0.7138659954071045},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6983593702316284},{"id":"https://openalex.org/keywords/digital-computer","display_name":"Digital computer","score":0.47248950600624084},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4012017846107483},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.38742369413375854},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3747612237930298},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37317734956741333},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3629315197467804},{"id":"https://openalex.org/keywords/computer-architecture","display_name":"Computer architecture","score":0.3470362424850464},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1567920446395874}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7138659954071045},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6983593702316284},{"id":"https://openalex.org/C2985970845","wikidata":"https://www.wikidata.org/wiki/Q68","display_name":"Digital computer","level":2,"score":0.47248950600624084},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4012017846107483},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.38742369413375854},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3747612237930298},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37317734956741333},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3629315197467804},{"id":"https://openalex.org/C118524514","wikidata":"https://www.wikidata.org/wiki/Q173212","display_name":"Computer architecture","level":1,"score":0.3470362424850464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1567920446395874}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1973.5009106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009106","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1504035215","https://openalex.org/W1970224777","https://openalex.org/W2613286145","https://openalex.org/W4214637200"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2963177394","https://openalex.org/W1595229445","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W1965815883","https://openalex.org/W763418848","https://openalex.org/W1483751065"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,10,25,27,37],"this":[3],"paper":[4,30],"is":[5],"to":[6,18],"demonstrate":[7],"that":[8],"representations":[9],"numbers":[11],"other":[12],"than":[13],"positional":[14],"notation":[15],"may":[16],"lead":[17],"practical":[19],"hardware":[20],"realizations":[21],"for":[22],"digital":[23],"calculation":[24],"classes":[26],"algorithms.":[28],"This":[29],"describes":[31],"current":[32],"research":[33],"in":[34],"the":[35],"use":[36],"continued":[38],"fractions.":[39],"Although":[40],"practicality":[41],"has":[42],"not":[43],"been":[44],"demonstrated,":[45],"theoretical":[46],"results":[47],"are":[48],"promising.":[49]},"counts_by_year":[],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}