Elemente der Mathematik最新文献

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Inkreis-Konfigurationen ebener Vielecke 内部多边形的配置
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-22 DOI: 10.4171/EM/443
Beat Jaggi
{"title":"Inkreis-Konfigurationen ebener Vielecke","authors":"Beat Jaggi","doi":"10.4171/EM/443","DOIUrl":"https://doi.org/10.4171/EM/443","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":"45920806","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
Further explorations of unimodular roots 对幺模根的进一步探索
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-22 DOI: 10.4171/EM/436
Adam Glesser, Heather Stemen
{"title":"Further explorations of unimodular roots","authors":"Adam Glesser, Heather Stemen","doi":"10.4171/EM/436","DOIUrl":"https://doi.org/10.4171/EM/436","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":"48308625","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
Mollweide's formula and circumcevians of the incenter Mollweide公式和中心的周长
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-12 DOI: 10.4171/EM/429
Martin Lukarevski
{"title":"Mollweide's formula and circumcevians of the incenter","authors":"Martin Lukarevski","doi":"10.4171/EM/429","DOIUrl":"https://doi.org/10.4171/EM/429","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42065433","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
Holes in lace doilies: The geometric kernel of circulant graphs 花边上的洞:循环图的几何核
IF 0.1
Elemente der Mathematik Pub Date : 2021-03-04 DOI: 10.4171/EM/435
J. Sander
{"title":"Holes in lace doilies: The geometric kernel of circulant graphs","authors":"J. Sander","doi":"10.4171/EM/435","DOIUrl":"https://doi.org/10.4171/EM/435","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43627725","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
The smallest convex $k$-gon containing $n$ congruent disks 包含$n$全等圆盘的最小凸$k$-gon
IF 0.1
Elemente der Mathematik Pub Date : 2021-02-04 DOI: 10.4171/EM/451
Orgil-Erdene Erdenebaatar, Uuganbaatar Ninjbat
{"title":"The smallest convex $k$-gon containing $n$ congruent disks","authors":"Orgil-Erdene Erdenebaatar, Uuganbaatar Ninjbat","doi":"10.4171/EM/451","DOIUrl":"https://doi.org/10.4171/EM/451","url":null,"abstract":"Consider the problem of fnding the smallest area convex $k$-gon containing $ninmathbb{N}$ congruent disks without an overlap. By using Wegner inequality in sphere packing theory we give a lower bound for the area of such polygons. For several cases where this bound is tight we construct corresponding optimal polygons. We also discuss its solution for some cases where this bound is not tight, e.g. $n = 2$ and $k$ is odd, and $n = 3$; $k = 4$. On the way to prove our results we prove a result on geometric invariants between two polygons whose sides are pairwise parallel, and give a new characterisation for the trisectrix of Maclaurin.","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47420220","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
Maclaurin series by integration 积分Maclaurin系列
IF 0.1
Elemente der Mathematik Pub Date : 2021-01-19 DOI: 10.4171/EM/426
M. Hassani, M. Ketabi
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引用次数: 1
Infinitude of primes: Euclid’s proof using angles between lattice vectors 无穷素数:欧几里得用格向量夹角的证明
IF 0.1
Elemente der Mathematik Pub Date : 2021-01-19 DOI: 10.4171/EM/425
Dario T. de Castro
{"title":"Infinitude of primes: Euclid’s proof using angles between lattice vectors","authors":"Dario T. de Castro","doi":"10.4171/EM/425","DOIUrl":"https://doi.org/10.4171/EM/425","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"76 1","pages":"28-32"},"PeriodicalIF":0.1,"publicationDate":"2021-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42542789","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 proof of the fundamental theorem of algebra using Hurwitz’s theorem 用赫维茨定理证明代数基本定理
IF 0.1
Elemente der Mathematik Pub Date : 2021-01-19 DOI: 10.4171/EM/427
M. Mahmoudi
{"title":"A proof of the fundamental theorem of algebra using Hurwitz’s theorem","authors":"M. Mahmoudi","doi":"10.4171/EM/427","DOIUrl":"https://doi.org/10.4171/EM/427","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"76 1","pages":"38-39"},"PeriodicalIF":0.1,"publicationDate":"2021-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45520119","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
Lügner und die Gruppe $(mathbb{Z}_2)^n$ 骗子集团(元 mathbb {Z _2) ^ n元
IF 0.1
Elemente der Mathematik Pub Date : 2021-01-19 DOI: 10.4171/EM/424
E. Behrends
{"title":"Lügner und die Gruppe $(mathbb{Z}_2)^n$","authors":"E. Behrends","doi":"10.4171/EM/424","DOIUrl":"https://doi.org/10.4171/EM/424","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"76 1","pages":"17-27"},"PeriodicalIF":0.1,"publicationDate":"2021-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45186336","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
Special orthogonal integer bases and representations by sums of squares 特殊正交整数基和平方和的表示
IF 0.1
Elemente der Mathematik Pub Date : 2021-01-19 DOI: 10.4171/EM/423
Peter Thurnheer
{"title":"Special orthogonal integer bases and representations by sums of squares","authors":"Peter Thurnheer","doi":"10.4171/EM/423","DOIUrl":"https://doi.org/10.4171/EM/423","url":null,"abstract":"","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"76 1","pages":"10-16"},"PeriodicalIF":0.1,"publicationDate":"2021-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48711794","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
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