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Euler’s Inequality for Circumradius and Inradius 欧拉圆周率和内径不等式
The American Mathematical Monthly Pub Date : 2024-03-04 DOI: 10.1080/00029890.2024.2316587
Wagner Oliveira Costa Filho
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引用次数: 0
On Nonnegativity of the Generalized Discriminants of Quadratics 论四则运算广义判别式的非负性
The American Mathematical Monthly Pub Date : 2024-02-23 DOI: 10.1080/00029890.2024.2309110
Yusuf Z. Gürtaş
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引用次数: 0
Integration using Schwinger Parametrization 利用施文格参数化进行积分
The American Mathematical Monthly Pub Date : 2024-02-23 DOI: 10.1080/00029890.2024.2308457
David M. Bradley, Albert Natian, Seán M. Stewart
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引用次数: 0
Reviews Number Theory Through the Eyes of Sophie Germain: An Inquiry Course . By David Pengelley, MAA Press, Providence, RI, 2023. ISBN 9781470472207, $79.00. 苏菲-热尔曼眼中的数论》评论：探究课程.戴维-彭格列著，MAA 出版社，普罗维登斯，罗得岛州，2023 年。ISBN9781470472207，79.00 美元。
The American Mathematical Monthly Pub Date : 2024-02-22 DOI: 10.1080/00029890.2024.2313900
Daniel E. Otero
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引用次数: 0
Dubious Identities: A Visit to the Borwein Zoo 可疑的身份参观博文动物园
The American Mathematical Monthly Pub Date : 2024-02-22 DOI: 10.1080/00029890.2024.2309099
Zachary P. Bradshaw, Christophe Vignat
{"title":"Dubious Identities: A Visit to the Borwein Zoo","authors":"Zachary P. Bradshaw, Christophe Vignat","doi":"10.1080/00029890.2024.2309099","DOIUrl":"https://doi.org/10.1080/00029890.2024.2309099","url":null,"abstract":"We contribute to the zoo of dubious identities established by J.M. and P.B. Borwein in their 1992 paper, “Strange Series and High Precision Fraud” with five new entries, each of a different variety...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139952107","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
100 Years Ago This Month in The American Mathematical Monthly 100 年前的本月《美国数学月刊
The American Mathematical Monthly Pub Date : 2024-02-14 DOI: 10.1080/00029890.2024.2309126
Edited by Vadim Ponomarenko
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引用次数: 0
On the Primorial Counting Function 关于 Primorial 计数函数
The American Mathematical Monthly Pub Date : 2024-02-14 DOI: 10.1080/00029890.2024.2309123
Christian Axler
{"title":"On the Primorial Counting Function","authors":"Christian Axler","doi":"10.1080/00029890.2024.2309123","DOIUrl":"https://doi.org/10.1080/00029890.2024.2309123","url":null,"abstract":"Let Nk denote the kth primorial and let K(x) be the primorial counting function, the function that counts the number of primorials not exceeding x. In this note, we examine the sign of the function...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765789","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
Counting Parity Palindrome Compositions 奇偶校验组合计数
The American Mathematical Monthly Pub Date : 2024-02-14 DOI: 10.1080/00029890.2024.2309118
Vincent Vatter
{"title":"Counting Parity Palindrome Compositions","authors":"Vincent Vatter","doi":"10.1080/00029890.2024.2309118","DOIUrl":"https://doi.org/10.1080/00029890.2024.2309118","url":null,"abstract":"Published in The American Mathematical Monthly (Ahead of Print, 2024)","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765420","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
Dihedralizing the Quaternions 四元数的二面化
The American Mathematical Monthly Pub Date : 2024-02-08 DOI: 10.1080/00029890.2023.2298656
Matthew Macauley
{"title":"Dihedralizing the Quaternions","authors":"Matthew Macauley","doi":"10.1080/00029890.2023.2298656","DOIUrl":"https://doi.org/10.1080/00029890.2023.2298656","url":null,"abstract":"In this paper, we will take the classic dihedral and quaternion groups and explore questions like “what if we replace i=e2πi/4 in Q8 with a larger root of unity?” and “what if we add a reflection...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312799","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
Problems and Solutions 问题与解决方案
The American Mathematical Monthly Pub Date : 2024-02-05 DOI: 10.1080/00029890.2024.2305019
Edited by Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West
{"title":"Problems and Solutions","authors":"Edited by Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West","doi":"10.1080/00029890.2024.2305019","DOIUrl":"https://doi.org/10.1080/00029890.2024.2305019","url":null,"abstract":"Published in The American Mathematical Monthly (Vol. 131, No. 4, 2024)","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312834","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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