{“id”:“https://openalex.org/W2076055114“,”doi“:”https://doi.org/10.1016/j.jco.2011.01.001“,”title“:”某些函数类张量积的最优容积公式“,”display_name“:”某些函数类张量积的最优容积公式“,”publication_year“:2011,”publication_date“:”2011-12-01“,”ids“:{”openalex“:”https://openalex.org/W2076055114“,”doi“:”https://doi.org/10.1016/j.jco.2011.01.001“,”mag“:”2076055114“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1016/j.jco.2011.01.001“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S42286584“,”display_name“:”复杂性杂志“,”issn_l“:”0885-064X“,”isn“:[”08850-064X“,“1090-2708”],”is_oa“:false,”is_in_doaj“:false,”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,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“],pository_has_fulltext“:false},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5079019382“,”display_name“:”\u0412。\u0424.\u0411\u0430\u0431\u0435\u043d\u043a\u043G“,”兽人“:”https://orcid.org/0000-0001-6677-1914},“机构”:[{“id”:https://openalex.org/I4210089221“,”display_name“:”应用数学与力学研究所“,”ror“:”https://ror.org/006c77f48“,”country_code“:”UA“,”type“:”设施“,”沿袭“:[”https://openalex.org/I149851306","https://openalex.org/I4210089221“]},{”id“:”https://openalex.org/I883679329“,”display_name“:”Oles Honchar Dnipro国立大学“,”ror“:”https://ror.org/00qk1f078“,”country_code“:”UA“,”type“:“教育”,”世系“:[”https://openalex.org/I883679329“]}],”国家“:[”UA“],”is_corresponding“:false,”raw_author_name“:”V.F.Babenko“,”raw _ afiliation_strings“:[“乌克兰第聂伯罗彼得罗夫斯克国立大学,49050”,“乌克兰国家科学院应用数学与力学研究所,乌克兰顿涅茨克,83114”],”从属关系“:[{”raw _affiliation_string“:”乌克兰国家科学院应用数学与力学研究所,乌克兰顿涅茨克,83114”,“institution_ids”:[“https://openalex.org/I4210089221“]},{”raw_affiliation_string“:”乌克兰第聂伯罗彼得罗夫斯克国立大学,49050“,”institution_ids“:[”https://openalex.org/I883679329“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5052863100“,”display_name“:”Sergiy Borodachov“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I4322298“,”display_name“:”Towson University“,”ror“:”https://ror.org/044w7a341“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I4322298“]}],”国家“:[”美国“],”is_corresponding“:true,”raw_author_name“:”S.V.Borodachov“,”raw _ afiliation_strings“:[“Towson University,Baltimore,MD,21252,USA”],”affiliations“:[{”raw_ afiliation _string“:”Towson University,Barltimore,MDhttps://openalex.org/I4322298“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5066655231“,”display_name“:”Dmytro Skorokhodov“,”orcid“:”https://orcid.org/0000-0001-8494-5885},“机构”:[{“id”:https://openalex.org/I883679329“,”display_name“:”Oles Honchar Dnipro国立大学“,”ror“:”网址:https://ror.org/00qk1f078“,”country_code“:”UA“,”type“:”教育“,”血统“:[”https://openalex.org/I883679329“]}],”国家“:[”UA“],”is_corresponding“:false,”raw_author_name“:”D.S.Skorokhodov“,”raw _ afiliation_strings“:[“第聂伯罗彼得罗夫斯克国立大学,第聂伯鲁彼得罗夫斯科,49050,乌克兰”],”affiliations“:[{”raw _affiliation_strong“:”第聂伯罗夫斯克·国立大学,49050.乌克兰”,“institution_ids”:[“https://openalex.org/I883679329“]}]}],”countries_disticont_count“:2,”institutions_disticent_count”:3,”corresponding_author_ids“:[”https://openalex.org/A5052863100“],”对应的机构ID“:[”https://openalex.org/I4322298“],”apc_list“:{”value“:2200,”currency“:”USD“,”value_USD“:2200',”provenance“:”doaj“},”apc _payed“:null,”fwci“:null',”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:1,”citected_by_percentile_year“:{”min“:69,”max“:76},“biblio”:{“volume”:“27”,“issue”:“6”,“first_page”“:”519“,”last_page“:”530“},”is_retracted“:false,”is_paratext“:false,”primary_topic“:{”id“:”https://openalex.org/T12404“,”display_name“:”高维积分与拟蒙特卡罗方法“,”score“:0.9996,”subfield“:{”id“:”https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T12404“,”display_name“:”高维积分与拟蒙特卡罗方法“,”score“:0.9996,”subfield“:{”id“:”https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11191“,”display_name“:”正交多项式“,”score“:0.9809,”subfield“:{”id“:”https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11245“,”“display_name”:“计算工程中的等几何分析”,“score”:0.9529,“subfield”:{“id”:“https://openalex.org/subfields/2206“,”display_name“:”计算力学“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/shape-optimization网站“,”display_name“:”形状优化“,”score“:0.517604}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.8610571},{”id“:”https://openalex.org/C68693459,“wikidata”:https://www.wikidata.org/wiki/Q657586“,”display_name“:”Hyperplane“,”level“:2,”score“:0.848565},{”id“:”https://openalex.org/C64543145,“wikidata”:https://www.wikidata.org/wiki/Q162942“,”display_name“:”十字路口(航空)“,”level“:2,”score“:0.5425369},{”id“:”https://openalex.org/C121089165,“wikidata”:https://www.wikidata.org/wiki/Q6889796“,”display_name“:”Moduli“,”level“:2,”score“:0.53253365},{”id“:”https://openalex.org/C2777212361,“wikidata”:https://www.wikidata.org/wiki/Q5127848(网址:https://www.wikidata.org/wiki/Q5127848)“,”display_name“:”类(哲学)“,”级别“:2,”分数“:0.52725494},{”id“:”https://openalex.org/C33676613,“wikidata”:https://www.wikidata.org/wiki/Q13415176“,”display_name“:”维度(图论)“,”级别“:2,”分数“:0.5006182},{”id“:”https://openalex.org/C2779788511,“wikidata”:https://www.wikidata.org/wiki/Q181658“,”display_name“:”并行管道“,”level“:2,”score“:0.49309513},{”id“:”https://openalex.org/C99730327,“wikidata”:https://www.wikidata.org/wiki/Q1501536“,”display_name“:”Sobolev space“,”level“:2,”score“:0.48260224},{”id“:”https://openalex.org/C202444582,“wikidata”:https://www.wikidata.org/wiki/Q837863“,”display_name“:”纯数学“,”level“:1,”score“:0.4476935},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.43776363},{”id“:”https://openalex.org/C155281189,“wikidata”:https://www.wikidata.org/wiki/Q3518150网址“,”display_name“:”张量(内在定义)“,”level“:2,”score“:0.41726476},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.33578652},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.21309704},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”Physics“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C62520636,“wikidata”:https://www.wikidata.org/wiki/Q944“,”display_name“:”量子力学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198(网址:https://www.wikidata.org/wiki/Q21198)“,”display_name“:”计算机科学“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C127413603,“wikidata”:https://www.wikidata.org/wiki/Q11023“,”display_name“:”Engineering“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C146978453,“wikidata”:https://www.wikidata.org/wiki/Q3798668“,”display_name“:”航空航天工程“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1016/j.jco.2011.01.001“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S42286584“,”display_name“:”复杂性杂志“,”issn_l“:”0885-064X“,”isn“:[”08850-064X“,“1090-2708”],”is_oa“:false,”is_in_doaj“:false,”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,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nully,“sustainable_development_goals”:[{“score”:0.46,“display_name”:“可持续城市和社区”,“id”:“https://metadata.un.org/sdg/11“}],”grants“:[],”datasets“:[],”versions“:[】,”referenced_works_count“:38,”referrenced_works“:【”https://openalex.org/W103171601","https://openalex.org/W110778194","https://openalex.org/W1487257205","https://openalex.org/W1583497601","https://openalex.org/W1742648983网址","https://openalex.org/W1894726466","https://openalex.org/W1969237653","https://openalex.org/W1970465045","https://openalex.org/W1975581510","https://openalex.org/W1991920867","https://openalex.org/W1992051836","https://openalex.org/W2000905413","https://openalex.org/W2008390732","https://openalex.org/W2019335770","https://openalex.org/W2019984869","https://openalex.org/W2025745739","https://openalex.org/W2035242097","https://openalex.org/W2046233665","https://openalex.org/W205046867","https://openalex.org/W2052447567","https://openalex.org/W2055772365","https://openalex.org/W2056857967","https://openalex.org/W2066901458","https://openalex.org/W2068109599","https://openalex.org/W2074449413","https://openalex.org/W2074984062","https://openalex.org/W2080339696","https://openalex.org/W2088847233","https://openalex.org/W2162987532","https://openalex.org/W2164547189","https://openalex.org/W218021456","https://openalex.org/W2317315444","https://openalex.org/W2322564723","https://openalex.org/W2328898827","https://openalex.org/W2569481888","https://openalex.org/W3212578581","https://openalex.org/W4299416517","https://openalex.org/W90044011“],”related_works“:[”https://openalex.org/W4383816821","https://openalex.org/W4367557258","https://openalex.org/W4283382972","https://openalex.org/W4282968753","https://openalex.org/W4253590614","https://openalex.org/W3148891486","https://openalex.org/W2065245699","https://openalex.org/W2059014664","https://openalex.org/W2047285394","https://openalex.org/W118848820“],”ngrams_url“:”https://api.openalex.org/works/W2076055114/ngrams网站“,”abstract_inverted_index“:{”We“:[0,42,82],”study“:[1],”the“:[2,24,60,70,74,89107121126],”problem“:[3],”of“:[4,9,23,30,34,48,54,62,76,88114135],”constructing“:[5],”an“:[6,44],”optimal“:[7,90124],”formular“:[8,47,91122],”approximate“:[10],”integration“:[11,25],”along“1],“a”:[13,98],“d维”:[14],“平行六面体”:[15],“我们的“:[16],“构造”:[17],“利用”:[18],“平均”:[19],“值”:[20],“交集”:[22],“域”:[26],”with“:[27,64132],”n“:[28],”hyperplanes“:[29,87],”dimension“:[31],”(d\u22121),“:[32],”each“:[33,93],”which“:[35],”is“:[36,73],”vertical“:[37,96],”to“:[38,66,97],“一些”:[39],“坐标”:[40100],“轴。“:[41],”find“:[43],”cubature“:[46130],”this“:[49],”type“:[50],”for“:[51117125],”two“:[52],”class“:[53],”functions。“:[55],”The“:[56],”first“:[57127],”class“:[58,72128],”controls“:[59],”moduli“:[61113],”continuity“:[63115],”respect“:[65],”all“:[67,85],”variables“:68],”wherew“:[69],”second“:[71],”intersection“:[75],”sequentive“:[77,99],”periodic“:[78],”multiminable“:[79],”Sobolev“:[80],”类。“:[81],”prove“:[83],”that“:[84],”node“:[86],”in“:[92],”case“:[94],”are“:[95103109],”axis“:[101],”and“:[102106116],”equal“:[104],”spaced“:[105],”weights“:[108],”equal“。“:[110],”For“:[111],”specific“:[112],”sufficiefully“:[118],”large“:[119],”n,“:[120],”remains“:[123],”between“:[129],”formulas“:131],”anomative“:[133],”positions“:%134],”超平面。“:[136]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2076055114“,”counts_by_year“:[{”年“:2020,”cited_by_count“:1}],”更新日期“:”2024-06-23T15:20:58.292867“,”创建日期“:“2016-06-24”}