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108.05 Ramanujan’s proof of Bertrand’s postulate 108.05 拉马努金对贝特朗公设的证明
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.22
A. Silberger
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引用次数: 0
Formulations: architecture, mathematics, culture by Andrew Witt , pp. 428, £23.15, (paper), ISBN 978-0-262-54300-2, Massachusetts Institute of Technology Press (2021) 公式:建筑、数学、文化》,安德鲁-威特著,第 428 页,23.15 英镑(纸质),ISBN 978-0-262-54300-2,麻省理工学院出版社 (2021)
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.45
T. Crilly
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引用次数: 0
108.06 Simple bounds on a sum pertinent to primes 108.06 与素数有关的和的简单界限
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.23
Hazar Aydin
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引用次数: 0
108.18 A one-line proof of the Finsler-Hadwiger inequality 108.18 芬斯勒-哈德维格不等式的单行证明
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.35
Nick Lord
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引用次数: 0
The Eureka theorem of Gauss 高斯的尤里卡定理
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.15
Stan Dolan
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引用次数: 0
108.03 Remarks on perfect powers 108.03 关于完美权力的评论
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.20
H. A. ShahAli
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引用次数: 0
108.05 Ramanujan’s proof of Bertrand’s postulate 108.05 拉马努金对贝特朗公设的证明
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.22
A. Silberger
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引用次数: 0
108.18 A one-line proof of the Finsler-Hadwiger inequality 108.18 芬斯勒-哈德维格不等式的单行证明
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.35
Nick Lord
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引用次数: 0
108.04 Digital root analysis of Smith numbers 108.04 斯密斯数字的数字根分析
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.21
Shyam Sunder Gupta
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引用次数: 0
Singular matrices and pairwise-tangent circles 奇异矩阵和对切圆
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.3
A. Beardon
{"title":"Singular matrices and pairwise-tangent circles","authors":"A. Beardon","doi":"10.1017/mag.2024.3","DOIUrl":"https://doi.org/10.1017/mag.2024.3","url":null,"abstract":"The idea of using the generalised inverse of a singular matrix A to solve the matrix equation Ax = b has been discussed in the earlier papers [1, 2, 3, 4] in the Gazette. Here we discuss three simple geometric questions which are of interest in their own right, and which illustrate the use of the generalised inverse of a matrix. The three questions are about polygons and circles in the Euclidean plane. We need not assume that a polygon is a simple closed curve, nor that it is convex: indeed, abstractly, a polygon is just a finite sequence (v1, …, vn) of its distinct, consecutive, vertices. It is convenient to let vn + 1 = v1 and (later) Cn + 1 = C1.","PeriodicalId":22812,"journal":{"name":"The Mathematical Gazette","volume":"12 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139776518","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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