{"id":"https://openalex.org/W2145427487","doi":"https://doi.org/10.1002/malq.200410020","title":"Exact calculation of inverse functions","display_name":"Exact calculation of inverse functions","publication_year":2005,"publication_date":"2005-01-30","ids":{"openalex":"https://openalex.org/W2145427487","doi":"https://doi.org/10.1002/malq.200410020","mag":"2145427487"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200410020","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200410020","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MLQ","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/A5102827300","display_name":"Josef Berger","orcid":"https://orcid.org/0000-0002-3821-1749"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Josef Berger","raw_affiliation_strings":["Mathematisches Institut, Universita\u0308t Mu\u0308nchen, Theresienstra\u00dfe 39, 80333 Mu\u0308nchen, Germany","Mathematisches Institut, Universit\u00e4t M\u00fcnchen, Theresienstra\u00dfe 39, 80333, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universita\u0308t Mu\u0308nchen, Theresienstra\u00dfe 39, 80333 Mu\u0308nchen, Germany","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t M\u00fcnchen, Theresienstra\u00dfe 39, 80333, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102827300"],"corresponding_institution_ids":["https://openalex.org/I8204097"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":1.0541,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78166399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"2","first_page":"201","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.6211000084877014,"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":0.6211000084877014,"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/T12565","display_name":"Physics and Engineering Research Articles","score":0.5569999814033508,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8128602504730225},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7468150854110718},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.718212366104126},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5716274380683899},{"id":"https://openalex.org/keywords/inverse-function","display_name":"Inverse function","score":0.5663487911224365},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.46236494183540344},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4364660382270813},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3750162124633789},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3575429916381836},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04982295632362366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8128602504730225},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7468150854110718},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.718212366104126},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5716274380683899},{"id":"https://openalex.org/C140528856","wikidata":"https://www.wikidata.org/wiki/Q191884","display_name":"Inverse function","level":3,"score":0.5663487911224365},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.46236494183540344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4364660382270813},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3750162124633789},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3575429916381836},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04982295632362366},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200410020","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200410020","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MLQ","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":3,"referenced_works":["https://openalex.org/W2121768917","https://openalex.org/W2153281872","https://openalex.org/W6678247595"],"related_works":["https://openalex.org/W2371413025","https://openalex.org/W2356364244","https://openalex.org/W2004705539","https://openalex.org/W4242766352","https://openalex.org/W2298446516","https://openalex.org/W2593136046","https://openalex.org/W4238170254","https://openalex.org/W2159962520","https://openalex.org/W3199792822","https://openalex.org/W2326504032"],"abstract_inverted_index":{"We":[0,18],"represent":[1],"continuous":[2],"functions":[3,10],"on":[4,12],"compact":[5],"intervals":[6],"by":[7],"sequences":[8],"of":[9,15,31,51,59],"defined":[11],"finite":[13],"sets":[14],"rational":[16],"numbers.":[17],"call":[19],"this":[20],"an":[21,40,48,52,56],"exact":[22,49,57],"representation.":[23],"This":[24],"enables":[25],"us":[26],"to":[27,46],"calculate":[28],"the":[29,32,60],"values":[30],"function":[33,54],"arbitrarily":[34],"exactly,":[35],"without":[36],"roundoff":[37],"errors.":[38],"As":[39],"application":[41],"we":[42],"develop":[43],"a":[44],"procedure":[45],"transfer":[47],"representation":[50,58],"increasing":[53],"into":[55],"corresponding":[61],"inverse":[62],"function.":[63],"(\u00a9":[64],"2005":[65],"WILEY-VCH":[66],"Verlag":[67],"GmbH":[68],"&":[69],"Co.":[70],"KGaA,":[71],"Weinheim)":[72]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
