{"id":"https://openalex.org/W2060143449","doi":"https://doi.org/10.1145/1086837.1086842","title":"On computing with factored rational expressions","display_name":"On computing with factored rational expressions","publication_year":1974,"publication_date":"1974-08-01","ids":{"openalex":"https://openalex.org/W2060143449","doi":"https://doi.org/10.1145/1086837.1086842","mag":"2060143449"},"language":"en","primary_location":{"id":"doi:10.1145/1086837.1086842","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1086837.1086842","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1086837.1086842","source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1086837.1086842","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032254734","display_name":"Warren S. Brown","orcid":"https://orcid.org/0000-0001-6142-5588"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"W. S. Brown","raw_affiliation_strings":["Bell Laboratories, Murray Hill, New Jersey"],"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Murray Hill, New Jersey","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032254734"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8482,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91022811,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"3","first_page":"26","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9968000054359436,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9968000054359436,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9916999936103821,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9868000149726868,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.7099895477294922},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5942587852478027},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5685564279556274},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5144462585449219},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4593285918235779},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44248899817466736},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4390750229358673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29998084902763367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28816163539886475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15254846215248108},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14190444350242615},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09615394473075867}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7099895477294922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5942587852478027},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5685564279556274},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5144462585449219},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4593285918235779},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44248899817466736},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4390750229358673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29998084902763367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28816163539886475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15254846215248108},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14190444350242615},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09615394473075867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1086837.1086842","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1086837.1086842","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1086837.1086842","source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/1086837.1086842","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1086837.1086842","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1086837.1086842","source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2060143449.pdf","grobid_xml":"https://content.openalex.org/works/W2060143449.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1966711586","https://openalex.org/W1988426211","https://openalex.org/W1994372425","https://openalex.org/W2024018487","https://openalex.org/W2041132005","https://openalex.org/W2042624960","https://openalex.org/W2121112004","https://openalex.org/W2131787879","https://openalex.org/W2140126816","https://openalex.org/W2162177141"],"related_works":["https://openalex.org/W1595546368","https://openalex.org/W2468796127","https://openalex.org/W2352495365","https://openalex.org/W2354062721","https://openalex.org/W790934358","https://openalex.org/W2051735342","https://openalex.org/W2079965644","https://openalex.org/W1534842550","https://openalex.org/W4250918063","https://openalex.org/W2043715201"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"the":[3],"extension":[4],"of":[5,25],"an":[6],"efficient":[7],"polynomial":[8],"manipulation":[9],"system":[10,18],"to":[11],"deal":[12],"with":[13],"rational":[14],"expressions.":[15],"The":[16],"proposed":[17],"is":[19],"intended":[20],"for":[21],"a":[22],"wide":[23],"range":[24],"practical":[26],"computations,":[27],"including":[28],"problems":[29],"involving":[30],"sparse":[31],"expressions":[32],"in":[33],"many":[34],"indeterminates.":[35]},"counts_by_year":[{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
