{"id":"https://openalex.org/W2347282152","doi":null,"title":"A Remainder Estimation of an Alternating Series with Minimum Error Range","display_name":"A Remainder Estimation of an Alternating Series with Minimum Error Range","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2347282152","mag":"2347282152"},"language":"en","primary_location":{"id":"mag:2347282152","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-JSHY200901002.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764381648","display_name":"Journal of Huaiyin Institute of Technology","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Huaiyin Institute of Technology","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5100685110","display_name":"Yunlong Wang","orcid":"https://orcid.org/0000-0002-9451-1746","observed_orcids":["https://orcid.org/0000-0002-9451-1746"]},"institutions":[{"id":"https://openalex.org/I4210153869","display_name":"Huai'an University","ror":"https://ror.org/0555ezg60","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153869"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunlong Wang","raw_affiliation_strings":["Department of Electronic Information Engineering,Huaiyin Institute of Technology, Huai'an Jiangsu 223003,China)"],"raw_orcid":"https://orcid.org/0000-0002-9451-1746","affiliations":[{"raw_affiliation_string":"Department of Electronic Information Engineering,Huaiyin Institute of Technology, Huai'an Jiangsu 223003,China)","institution_ids":["https://openalex.org/I4210153869"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100685110"],"corresponding_institution_ids":["https://openalex.org/I4210153869"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23452786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.4318999946117401,"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"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.4318999946117401,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.2957000136375427,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.1200999990105629,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/remainder-estimates","display_name":"remainder estimates","score":0.875},{"id":"https://openalex.org/keywords/alternating-series","display_name":"alternating series","score":0.9629999995231628},{"id":"https://openalex.org/keywords/infinite-series","display_name":"infinite series","score":0.7919999957084656},{"id":"https://openalex.org/keywords/partial-sums","display_name":"partial sums","score":0.8629999756813049},{"id":"https://openalex.org/keywords/error-bounds","display_name":"error bounds","score":0.6880000233650208},{"id":"https://openalex.org/keywords/estimation-formula","display_name":"estimation formula","score":0.5080000162124634}],"concepts":[{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.994238555431366},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7146015763282776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6813680529594421},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5846713781356812},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5753880739212036},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.54024338722229},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4614395499229431},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.43457192182540894},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34098929166793823},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2515450119972229},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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":"mag:2347282152","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-JSHY200901002.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764381648","display_name":"Journal of Huaiyin Institute of Technology","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Huaiyin Institute of Technology","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2322328737","https://openalex.org/W3165988650","https://openalex.org/W4411084597","https://openalex.org/W4322580872","https://openalex.org/W4384078692","https://openalex.org/W7215128572","https://openalex.org/W7204558067","https://openalex.org/W2776128341","https://openalex.org/W4241343059","https://openalex.org/W2280611643"],"abstract_inverted_index":{"A":[0],"new":[1],"method":[2],"is":[3,26,46,49,52,63],"introduced":[4],"about":[5],"the":[6,15,29,32,37,42,60],"remainder":[7,23,30,61],"estimation":[8,24,62],"of":[9,17,22,31,41,59],"infinite":[10],"alternating":[11],"series":[12,43],"constructed":[13],"by":[14,54],"reciprocal":[16],"odd":[18],"natural":[19],"numbers.The":[20],"inequality":[21],"range":[25],"given":[27],"with":[28],"first":[33],"term":[34],"to":[35],"any":[36],"nth":[38],"partial":[39],"sum":[40],"and":[44,69],"it":[45],"proved.Estimation":[47],"formula":[48],"extremely":[50],"simple.It":[51],"shown":[53],"calculation":[55],"that":[56],"relative":[57],"error":[58],"smaller":[64,70],"than":[65,71],"1\u2105":[66],"when":[67,73],"n=5":[68],"1\u2030":[72],"n=16.":[74]},"counts_by_year":[],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2016-06-24T00:00:00"}