{"id":"https://openalex.org/W2903266277","doi":"https://doi.org/10.1080/00029890.2018.1460976","title":"A Generalization of a <i>Monthly</i> Problem","display_name":"A Generalization of a <i>Monthly</i> Problem","publication_year":2018,"publication_date":"2018-11-26","ids":{"openalex":"https://openalex.org/W2903266277","doi":"https://doi.org/10.1080/00029890.2018.1460976","mag":"2903266277"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1460976","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1460976","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/A5100370663","display_name":"Zheng Chen","orcid":"https://orcid.org/0000-0002-4347-0235"},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chen Zheng","raw_affiliation_strings":["Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103219826","display_name":"Zhijun Zhou","orcid":"https://orcid.org/0000-0002-7756-8679"},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijun Zhou","raw_affiliation_strings":["Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100370663"],"corresponding_institution_ids":["https://openalex.org/I4472751"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23472963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"125","issue":"10","first_page":"922","last_page":"922"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.7699999809265137,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.7699999809265137,"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/generalization","display_name":"Generalization","score":0.6050736904144287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34781527519226074},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07622671127319336}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6050736904144287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34781527519226074},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07622671127319336}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2018.1460976","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1460976","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":[{"display_name":"No poverty","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"Problem":[0],"11815":[1],"appearing":[2],"in":[3],"this":[4],"Monthly":[5],"[1]":[6],"is":[7],"to":[8],"prove":[9,26],"for":[10],"positive":[11],"numbers":[12],"x,":[13],"y,":[14],"z":[15],"with":[16],"x+y+z":[17],"=":[18],"3":[19],"we":[20],"have":[21],"(1)":[22],"We":[23],"state":[24],"and":[25],"a":[27],"generalization":[28],"of":[29],"inequality":[30],"(1).Theorem.":[31],"Let":[32],"x1,\u22ef,":[33],"xn":[34],"be":[35],"positi...":[36]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
