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Elemente der Mathematik最新文献

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Wilhelm Fiedlers ”Darstellende Geometrie“ (1871) Teil 1 Wilhelm Fiedler的“Darstellende几何”（1871）第1部分
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-19 DOI: 10.4171/EM/444
K. Volkert
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引用次数: 0
Two remarkable triangles of a triangle and their circumcircles 一个三角形的两个不同寻常的三角形和它们的圆
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-09 DOI: 10.4171/EM/431
S. Kiss, Bálint Bíró
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引用次数: 1
Polynomial fill-in puzzles or how to make sense of the Cook–Levin theorem 多项式填空谜题或者如何理解库克-莱文定理
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-07 DOI: 10.4171/EM/439
A. Müller
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引用次数: 0
Sur un article d’Euler, prématuré bien que posthume 在欧拉的一篇文章中，过早但死后
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-06 DOI: 10.4171/EM/438
M. Ojanguren
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引用次数: 0
On the maximum area of inscribed polygons 内切多边形的最大面积
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-06 DOI: 10.4171/EM/442
D. Ismailescu, Min Jung Kim, Eric Wang
{"title":"On the maximum area of inscribed polygons","authors":"D. Ismailescu, Min Jung Kim, Eric Wang","doi":"10.4171/EM/442","DOIUrl":"https://doi.org/10.4171/EM/442","url":null,"abstract":"Given a convex n-gon P and a positive integer m such that 3 ≤ m ≤ n − 1, let Q denote the largest area convex m-gon contained in P . We are interested in the minimum value of ∆(Q)/∆(P ), the ratio of the areas of these two polygons. More precisely, given positive integers n and m, with 3 ≤ m ≤ n− 1, define fn(m) = min P∈Pn max Q⊂P,|Q|=m ∆(Q) ∆(P ) where the maximum is taken over all m-gons contained in P , and the minimum is taken over Pn, the entire class of convex n-gons. The values of f4(3), f5(4) and f6(3) are known. In this paper we compute the values of f5(3), f6(5) and f6(4). In addition, we prove that for all n ≥ 6 we have 4 n · sin (π n ) ≤ 1− fn(n− 1) ≤ min (","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44231180","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}
引用次数: 1
Schröder’s processes and the best ways of increasing order of Newton’s method Schröder过程与牛顿方法增阶的最佳方法
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-06 DOI: 10.4171/EM/437
F. Dubeau, C. Gnang
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引用次数: 0
Regular spatial hexagons 规则空间六边形
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-22 DOI: 10.4171/EM/434
Fritz Siegerist, Karl Wirth
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引用次数: 0
Symmedian and isodynamic points relations Symmedian和isodynamic点关系
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-22 DOI: 10.4171/EM/432
Paris Pamfilos
{"title":"Symmedian and isodynamic points relations","authors":"Paris Pamfilos","doi":"10.4171/EM/432","DOIUrl":"https://doi.org/10.4171/EM/432","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47864054","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}
引用次数: 0
A short synthetic proof of Thébault’s theorem Thébault定理的一个简短综合证明
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-22 DOI: 10.4171/EM/433
Đura Paunić
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引用次数: 0
A matrix viewpoint for various algebraic extensions 各种代数扩张的矩阵观点
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-22 DOI: 10.4171/EM/430
G. Abrams, P. N. Ánh
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引用次数: 0
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