{"title":"Isosceles tetrahedrons with integer edges and volume in the $mathbb{Z}timesmathbb{Z}timesmathbb{Z}$ grid","authors":"Roberta Brawer","doi":"10.4171/em/475","DOIUrl":"https://doi.org/10.4171/em/475","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46299076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Garfunkel–Bankoff inequality and the Finsler–Hadwiger inequality","authors":"Weidong Jiang","doi":"10.4171/em/473","DOIUrl":"https://doi.org/10.4171/em/473","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48485742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A remark on an identity involving products of binomial coefficients","authors":"U. Abel","doi":"10.4171/em/474","DOIUrl":"https://doi.org/10.4171/em/474","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48936379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Milne-Thomson formula for the harmonic conjugate and its associated holomorphic function","authors":"R. Mortini","doi":"10.4171/em/469","DOIUrl":"https://doi.org/10.4171/em/469","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49550388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Intriguing infinite words composed of zeros and ones","authors":"C. Kimberling","doi":"10.4171/em/468","DOIUrl":"https://doi.org/10.4171/em/468","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44536842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ceva-triangular points of a triangle","authors":"N. Hungerbühler, G. Wanner","doi":"10.4171/em/466","DOIUrl":"https://doi.org/10.4171/em/466","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41478190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dreiecke, Teildreiecke und Kreise","authors":"Peter Thurnheer","doi":"10.4171/em/462","DOIUrl":"https://doi.org/10.4171/em/462","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49228188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
References: [1] Á. Besenyei, Picard’s weighty proof of Chebyshev’s sum inequality, Math. Mag. 91 (2018), 366-371. · Zbl 1407.26019 [2] P. L. Butzer and F. Jongmans, P. L. Chebyshev (1821-1894). A guide to his life and work, J. Approx. Theory 96 (1999), 111-138. · Zbl 0934.01017 [3] D. Ž. Djoković, On Tchebychef’s inequality, Mat. Vesnik 1 (1964), 52. · Zbl 0121.28903 [4] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1952. · Zbl 0047.05302 [5] G. V. Milovanović, D. S. Mitrinović and T. M. Rassias, Topics in Polynomials: Extremal Problems, Inequal-ities, Zeros, World Scientific, Singapore, 1994. [6] A. B. Soble, Majorants for polynomial derivatives, Amer. Math. Monthly 64 (1957), 639-643. · Zbl 0081.28401 [7] Horst Alzer Morsbacher Straße 10 [8] Waldbröl, Germany h.alzer@gmx.de This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.
参考资料:[1]Á。贝森耶，皮卡德对切比雪夫和不等式的重要证明，数学。Mag. 91(2018)， 366-371。P. L. Butzer和F. Jongmans, P. L. Chebyshev(1821-1894)。他的生活和工作指南。理论96(1999)，111-138。·Zbl 0934.01017 [3] D. Ž。德约科维奇，论切比切夫不等式，马特·维斯尼克1(1964)，第52页。·Zbl 0121.28903 [4] G. H. Hardy, J. E. Littlewood和G. Pólya，不等式，剑桥大学出版社，剑桥，1952年。·G. V. milovanoviki, D. S. mitrinoviki, T. M. Rassias，多项式:极值问题，不等式，零，世界科学，新加坡，1994。[10]苏波，多项式导数的主要性质，[j]。数学。月刊64(1957)，639-643。·Zbl 0081.28401 [7] Horst Alzer Morsbacher Straße 10 [8] Waldbröl, Germany h.alzer@gmx.de本参考文献列表基于出版商或数字数学图书馆提供的信息。它的项启发式地与zbMATH标识符匹配，并且可能包含数据转换错误。它试图尽可能准确地反映原论文中列出的参考文献，而不要求匹配的完整性或完美精度。
{"title":"An inequality for the ratio of polynomials","authors":"H. Alzer","doi":"10.4171/em/463","DOIUrl":"https://doi.org/10.4171/em/463","url":null,"abstract":"References: [1] Á. Besenyei, Picard’s weighty proof of Chebyshev’s sum inequality, Math. Mag. 91 (2018), 366-371. · Zbl 1407.26019 [2] P. L. Butzer and F. Jongmans, P. L. Chebyshev (1821-1894). A guide to his life and work, J. Approx. Theory 96 (1999), 111-138. · Zbl 0934.01017 [3] D. Ž. Djoković, On Tchebychef’s inequality, Mat. Vesnik 1 (1964), 52. · Zbl 0121.28903 [4] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1952. · Zbl 0047.05302 [5] G. V. Milovanović, D. S. Mitrinović and T. M. Rassias, Topics in Polynomials: Extremal Problems, Inequal-ities, Zeros, World Scientific, Singapore, 1994. [6] A. B. Soble, Majorants for polynomial derivatives, Amer. Math. Monthly 64 (1957), 639-643. · Zbl 0081.28401 [7] Horst Alzer Morsbacher Straße 10 [8] Waldbröl, Germany h.alzer@gmx.de This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70856202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Angle sum of polygons in space","authors":"Fritz Siegerist, Karl Wirth","doi":"10.4171/em/461","DOIUrl":"https://doi.org/10.4171/em/461","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44581231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two statements characterizing the Euclidean metric of a metric plane","authors":"V. Pambuccian","doi":"10.4171/em/459","DOIUrl":"https://doi.org/10.4171/em/459","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42016054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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