{"id":"https://openalex.org/W3045655495","doi":"https://doi.org/10.1080/00029890.2020.1763122","title":"Down with Weierstrass!","display_name":"Down with Weierstrass!","publication_year":2020,"publication_date":"2020-07-28","ids":{"openalex":"https://openalex.org/W3045655495","doi":"https://doi.org/10.1080/00029890.2020.1763122","mag":"3045655495"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2020.1763122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1763122","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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/A5081764457","display_name":"Warren P. Johnson","orcid":"https://orcid.org/0000-0001-7015-5241"},"institutions":[{"id":"https://openalex.org/I4498119","display_name":"Connecticut College","ror":"https://ror.org/01hpqfm28","country_code":"US","type":"education","lineage":["https://openalex.org/I4498119"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Warren P. Johnson","raw_affiliation_strings":["Department of Mathematics and Statistics, Connecticut College, 270 Mohegan Avenue, New London, CT 06320, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Connecticut College, 270 Mohegan Avenue, New London, CT 06320, USA","institution_ids":["https://openalex.org/I4498119"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081764457"],"corresponding_institution_ids":["https://openalex.org/I4498119"],"apc_list":null,"apc_paid":null,"fwci":0.4979,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63130579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"127","issue":"7","first_page":"649","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/substitution","display_name":"Substitution (logic)","score":0.625708818435669},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5658615827560425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5372858047485352},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5187978148460388},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5075973272323608},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4812007546424866},{"id":"https://openalex.org/keywords/weierstrass-functions","display_name":"Weierstrass functions","score":0.4556539058685303},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39614734053611755},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3581136465072632},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2535681128501892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20567643642425537},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16550958156585693},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05088791251182556}],"concepts":[{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.625708818435669},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5658615827560425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5372858047485352},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5187978148460388},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5075973272323608},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4812007546424866},{"id":"https://openalex.org/C65945562","wikidata":"https://www.wikidata.org/wiki/Q3075283","display_name":"Weierstrass functions","level":2,"score":0.4556539058685303},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39614734053611755},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3581136465072632},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2535681128501892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20567643642425537},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16550958156585693},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05088791251182556}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2020.1763122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1763122","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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":6,"referenced_works":["https://openalex.org/W575434847","https://openalex.org/W1572551519","https://openalex.org/W2503073195","https://openalex.org/W2944242810","https://openalex.org/W3095541187","https://openalex.org/W4300927773"],"related_works":["https://openalex.org/W2379444625","https://openalex.org/W2393147081","https://openalex.org/W2575869988","https://openalex.org/W4308647020","https://openalex.org/W2370088286","https://openalex.org/W2385568494","https://openalex.org/W1893285581","https://openalex.org/W2912058948","https://openalex.org/W2588424405","https://openalex.org/W2095736209"],"abstract_inverted_index":{"We":[0],"offer":[1],"an":[2],"alternative":[3],"to":[4,17],"the":[5],"so-called":[6],"Weierstrass":[7],"substitution":[8],"for":[9],"a":[10],"class":[11],"of":[12],"trigonometric":[13],"integrals,":[14],"with":[15],"references":[16],"Euler,":[18],"Hardy,":[19],"and":[20],"others.":[21]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}