Elemente der Mathematik最新文献

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Apparent paradoxical partitions in countable sets 可数集合中的明显悖论分割
IF 0.1
Elemente der Mathematik Pub Date : 2021-06-28 DOI: 10.4171/em/456
M. Ayad, O. Kihel
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引用次数: 0
Wolstenholme's theorem revisited Wolstenholme定理再探
IF 0.1
Elemente der Mathematik Pub Date : 2021-06-28 DOI: 10.4171/em/457
Arpan Kanrar
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引用次数: 0
Short Note Teildreiecke und Kreise 短音符偏三角形和圆
IF 0.1
Elemente der Mathematik Pub Date : 2021-06-08 DOI: 10.4171/EM/454
Peter Thurnheer
{"title":"Short Note Teildreiecke und Kreise","authors":"Peter Thurnheer","doi":"10.4171/EM/454","DOIUrl":"https://doi.org/10.4171/EM/454","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43886875","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
Is the spiral effect psychological? 螺旋效应是心理上的吗?
IF 0.1
Elemente der Mathematik Pub Date : 2021-06-05 DOI: 10.4171/EM/465
B. Klaassen
{"title":"Is the spiral effect psychological?","authors":"B. Klaassen","doi":"10.4171/EM/465","DOIUrl":"https://doi.org/10.4171/EM/465","url":null,"abstract":"In 2017 [1] a definition of spiral tilings was given, thereby answering a question posed by Grünbaum and Shephard in the late 1970s. The author had the pleasure to discuss the topic via e-mail with Branko Grünbaum in his 87th year. During this correspondence the question arose whether a spiral structure (given a certain definition of it) could be recognized automatically or whether “to some extent, at least, the spiral effect is psychological”, as Grünbaum and Shephard had conjectured in 1987 (see exercise section of chapter 9.5 in [4]). In this paper, an algorithm for automatic detection of such a tiling’s spiral structure and its first implementation results will be discussed. Finally, the definitions for several types of spiral tilings will be refined based on this investigation.","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41551684","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
A note on the Diophantine equation $(x+1)^3+(x+2)^3+cdots+(2x)^3=y^n$ 关于丢番图方程$(x+1)^3+(x+2)^3+cdots+(2x)^3=y^n的一个注记$
IF 0.1
Elemente der Mathematik Pub Date : 2021-05-14 DOI: 10.4171/EM/450
N. X. Tho
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引用次数: 0
Cycles cross ratio: An invitation 周期交叉比率:邀请
IF 0.1
Elemente der Mathematik Pub Date : 2021-05-12 DOI: 10.4171/EM/471
V. Kisil
{"title":"Cycles cross ratio: An invitation","authors":"V. Kisil","doi":"10.4171/EM/471","DOIUrl":"https://doi.org/10.4171/EM/471","url":null,"abstract":"The paper introduces cycles cross ratio, which extends the classic cross ratio of four points to various settings: conformal geometry, Lie spheres geometry, etc. Just like its classic counterpart cycles cross ratio is a measure of anharmonicity between spheres with respect to inversion. It also provides a M\"obius invariant distance between spheres. Many further properties of cycles cross ratio awaiting their exploration. In abstract framework the new invariant can be considered in any projective space with a bilinear pairing.","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45897797","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
Wilhelm Fiedlers ”Darstellende Geometrie“ (1871) Teil 2 威廉·菲德勒的《达斯特伦德几何》(1871)第二部分
IF 0.1
Elemente der Mathematik Pub Date : 2021-05-03 DOI: 10.4171/EM/445
K. Volkert
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引用次数: 0
Eulers Lösung eines difficiliorum Problematum 一个困难问题日期的欧拉解
IF 0.1
Elemente der Mathematik Pub Date : 2021-05-03 DOI: 10.4171/EM/447
G. Wanner
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引用次数: 0
Neue Clifford–Morley Kreisketten 纽·克利福德-莫利·克雷斯克顿
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-19 DOI: 10.4171/EM/441
Peter Thurnheer
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引用次数: 0
Factorization of Delannoy matrices Delannoy矩阵的因子分解
IF 0.1
Elemente der Mathematik Pub Date : 2021-04-19 DOI: 10.4171/EM/440
Roberta Brawer
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引用次数: 0
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