{"id":"https://openalex.org/W2097928936","doi":"https://doi.org/10.1016/0304-3975(89)90093-5","title":"On the representation of rational functions of bounded complexity","display_name":"On the representation of rational functions of bounded complexity","publication_year":1989,"publication_date":"1989-04-01","ids":{"openalex":"https://openalex.org/W2097928936","doi":"https://doi.org/10.1016/0304-3975(89)90093-5","mag":"2097928936"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(89)90093-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(89)90093-5","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5014991245","display_name":"Hans-J\u00f6rg Sto\u00df","orcid":null},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hans-J\u00f6rg Sto\u00df","raw_affiliation_strings":["Department of Mathematics, Universit\u00e4t Konstanz, Postfach 5560, Konstanz D-7750, Fed. Rep. Germany","University of Konstanz, Konstanz, W-Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universit\u00e4t Konstanz, Postfach 5560, Konstanz D-7750, Fed. Rep. Germany","institution_ids":["https://openalex.org/I189712700"]},{"raw_affiliation_string":"University of Konstanz, Konstanz, W-Germany","institution_ids":["https://openalex.org/I189712700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014991245"],"corresponding_institution_ids":["https://openalex.org/I189712700"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.9524,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.76817401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"64","issue":"1","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9692999720573425,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9692999720573425,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9416999816894531,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9253000020980835,"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/bounded-function","display_name":"Bounded function","score":0.7557864189147949},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7212386131286621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6817900538444519},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"Representation theorem","score":0.6056104302406311},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.515207827091217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.504630446434021},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.45511630177497864},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.44874048233032227},{"id":"https://openalex.org/keywords/function-representation","display_name":"Function representation","score":0.4342103600502014},{"id":"https://openalex.org/keywords/structural-complexity-theory","display_name":"Structural complexity theory","score":0.4295457601547241},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.41519638895988464},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3714345097541809},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.329551637172699},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.29319751262664795},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2476562261581421},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21072837710380554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19891774654388428},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.09127810597419739},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05954119563102722}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7557864189147949},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7212386131286621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6817900538444519},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.6056104302406311},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.515207827091217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.504630446434021},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45511630177497864},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.44874048233032227},{"id":"https://openalex.org/C167528306","wikidata":"https://www.wikidata.org/wiki/Q5508776","display_name":"Function representation","level":3,"score":0.4342103600502014},{"id":"https://openalex.org/C131583701","wikidata":"https://www.wikidata.org/wiki/Q7625020","display_name":"Structural complexity theory","level":4,"score":0.4295457601547241},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.41519638895988464},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3714345097541809},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.329551637172699},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.29319751262664795},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2476562261581421},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21072837710380554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19891774654388428},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.09127810597419739},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05954119563102722},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0304-3975(89)90093-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(89)90093-5","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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":13,"referenced_works":["https://openalex.org/W1512385377","https://openalex.org/W1551631489","https://openalex.org/W1965589490","https://openalex.org/W1977747221","https://openalex.org/W1981241857","https://openalex.org/W2010811692","https://openalex.org/W2034505758","https://openalex.org/W2039679284","https://openalex.org/W2055580199","https://openalex.org/W2081103509","https://openalex.org/W2091278332","https://openalex.org/W2142928190","https://openalex.org/W4250775169"],"related_works":["https://openalex.org/W1504200807","https://openalex.org/W4294266235","https://openalex.org/W2120210041","https://openalex.org/W1548115644","https://openalex.org/W2555446247","https://openalex.org/W2145131298","https://openalex.org/W1520700928","https://openalex.org/W2047754121","https://openalex.org/W2327776271","https://openalex.org/W2097928936"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
