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Mathematics is beautiful by Heinz Klaus Strick, pp. 366, £24.99 (paper), ISBN 978-3-662-62688-7, £19.99 (eBook) ISBN 978-3-662-62689-4, Springer Verlag (2021) 数学是美丽的》，Heinz Klaus Strick 著，第 366 页，24.99 英镑（纸质版），ISBN 978-3-662-62688-7，19.99 英镑（电子书），ISBN 978-3-662-62689-4, Springer Verlag (2021)
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.52
Peter Giblin
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引用次数: 0
The Devil’s Advocate and the binomial expansion 魔鬼代言人与二项式展开
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.36
Nick Lord
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引用次数: 0
Problem Corner: Farewell to NJL 问题角：告别新日本图书馆
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.12
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引用次数: 0
Irrationality and transcendence in number theory by David Angell , pp. 242, £59.99, (hard), ISBN 978-0-367-62837-6, Chapman and Hall/CRC (2022) 数论中的非理性和超越性》，大卫-安格尔著，第 242 页，59.99 英镑（精装），国际标准书号 978-0-367-62837-6，查普曼和霍尔/CRC（2022 年）。
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.47
Peter Shiu
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引用次数: 0
Can fish count? by Brian Butterworth , pp. 373, £20, (hard), ISBN 978-1-52941-125-6, Quercus Books (2022) Brian Butterworth 著，第 373 页，20 英镑（精装），ISBN 978-1-52941-125-6，Quercus Books (2022)
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.46
Anne Haworth
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引用次数: 0
108.10 Proof without words: 108.10 无言证明：
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.27
Martin Lukarevski
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引用次数: 0
A slowly evolving conical pendulum 缓慢演变的锥形摆
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.16
Subhranil De
{"title":"A slowly evolving conical pendulum","authors":"Subhranil De","doi":"10.1017/mag.2024.16","DOIUrl":"https://doi.org/10.1017/mag.2024.16","url":null,"abstract":"The idea of this work originally arose from a question pertaining to a laboratory experiment on circular motion in our departmental lab manual. The experiment itself involves rotating a bob along a horizontal circle (Figure 1), where the tension in the string attached to the bob provides the centripetal acceleration of the bob, the string itself passing through a smooth vertical pipe. It is assumed that the rotation is fast enough for the effect of gravity to be neglected and therefore the orientation of the part of the string between the top end of the pipe and the bob can be taken to be horizontal. The abovementioned question enquires what happens to the speed of the bob in the case that the bottom end of the string is hand-held and pulled slowly so that the radius of the circular orbit decreases. The answer to the question is straightforward. Either a work-energy argument or an argument involving the conservation of angular momentum provides the same correct answer.","PeriodicalId":22812,"journal":{"name":"The Mathematical Gazette","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139834610","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
Euler’s prime-producing polynomial revisited 欧拉质点生成多项式再探讨
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.11
R. Heffernan, Nick Lord, Des MacHale
{"title":"Euler’s prime-producing polynomial revisited","authors":"R. Heffernan, Nick Lord, Des MacHale","doi":"10.1017/mag.2024.11","DOIUrl":"https://doi.org/10.1017/mag.2024.11","url":null,"abstract":"Euler’s polynomial f (n) = n2 + n + 41 is famous for producing 40 different prime numbers when the consecutive values 0, 1, …, 39 are substituted: see Table 1. Some authors, including Euler, prefer the polynomial f (n − 1) = n2 − n + 41 with prime values for n = 1, …, 40. Since f (−n) = f (n − 1), f (n) actually takes prime values (with each value repeated once) for n = −40, −39, …, 39; equivalently the polynomial f (n − 40) = n2 − 79n + 1601 takes (repeated) prime values for n = 0, 1, …, 79.","PeriodicalId":22812,"journal":{"name":"The Mathematical Gazette","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139835435","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
Walk on a grid 在网格上行走
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.17
Manija Shahali, H. A. ShahAli
{"title":"Walk on a grid","authors":"Manija Shahali, H. A. ShahAli","doi":"10.1017/mag.2024.17","DOIUrl":"https://doi.org/10.1017/mag.2024.17","url":null,"abstract":"There are various combinatorial questions on rectangular arrays consisting of points, numbers, fields or, in general, of symbols such as chessboards, lattices, and graphs. Many such problems in enumerative combinatorics come from other branches of science and technology like physics, chemistry, computer sciences and engineering; for example the following two very challenging problems from chemistry:\u0000Problem 1: Dimer problem (Domino tiling)\u0000In chemistry, a large molecule composed repeatedly from monomers as a long chain is called a polymer and a dimer is composed of two monomers (where: mono = 1, di = 2, poly = many and mer = part).","PeriodicalId":22812,"journal":{"name":"The Mathematical Gazette","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139835780","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
108.10 Proof without words: 108.10 无言证明：
The Mathematical Gazette Pub Date : 2024-02-15 DOI: 10.1017/mag.2024.27
Martin Lukarevski
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引用次数: 0
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