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Problems and Solutions 问题与解决方案
The American Mathematical Monthly Pub Date : 2024-05-20 DOI: 10.1080/00029890.2024.2351727
Edited by Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West
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引用次数: 0
Building Sets of Permutation-Fair Dice 构建互易公平骰子集
The American Mathematical Monthly Pub Date : 2024-05-13 DOI: 10.1080/00029890.2024.2345576
Michael Purcell
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引用次数: 0
Unlocking Your Bike the Easy Way 轻松为自行车开锁
The American Mathematical Monthly Pub Date : 2024-05-13 DOI: 10.1080/00029890.2024.2346070
Mathias Sonnleitner
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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 : 2024-05-08 DOI: 10.1080/00029890.2024.2345573
Edited by Vadim Ponomarenko
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引用次数: 0
On Liouville’s Theorem for Conformal Maps 关于共形映射的柳维尔定理
The American Mathematical Monthly Pub Date : 2024-05-07 DOI: 10.1080/00029890.2024.2344409
Mathew Kushelman, Peter McGrath
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引用次数: 0
Sums of Two Squares Visualized 可视化的两个平方之和
The American Mathematical Monthly Pub Date : 2024-05-07 DOI: 10.1080/00029890.2024.2344421
Ishan Banerjee, Amites Sarkar
{"title":"Sums of Two Squares Visualized","authors":"Ishan Banerjee, Amites Sarkar","doi":"10.1080/00029890.2024.2344421","DOIUrl":"https://doi.org/10.1080/00029890.2024.2344421","url":null,"abstract":"In 1972, John Brillhart described an algorithm for expressing a prime p≡1 (mod4) as the sum of two squares. Brillhart’s algorithm, which is based on the Euclidean algorithm, is simplicity itself. H...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151406","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 Fair Shake: How Close Can The Sum Of n-Sided Dice Be To A Uniform Distribution? 公平分配：n 边骰子之和与均匀分布的关系有多近？
The American Mathematical Monthly Pub Date : 2024-05-07 DOI: 10.1080/00029890.2024.2347163
Shamil Asgarli, Michael Hartglass, Daniel Ostrov, Byron Walden
{"title":"A Fair Shake: How Close Can The Sum Of n-Sided Dice Be To A Uniform Distribution?","authors":"Shamil Asgarli, Michael Hartglass, Daniel Ostrov, Byron Walden","doi":"10.1080/00029890.2024.2347163","DOIUrl":"https://doi.org/10.1080/00029890.2024.2347163","url":null,"abstract":"Two possibly unfair n-sided dice, both labeled 1,2,…,n, are rolled, and the sum is recorded. How should the dice’s sides be weighted so that the resulting sum is closest to the uniform distribution...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151409","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
An Exact Bound for the Inner Product of Vectors in ℂ n n 中向量内积的精确边界
The American Mathematical Monthly Pub Date : 2024-05-03 DOI: 10.1080/00029890.2024.2344412
I. Pinelis
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引用次数: 0
A Generalization of Wayment’s Mean Value Theorem for Integrals 韦门积分均值定理的一般化
The American Mathematical Monthly Pub Date : 2024-05-03 DOI: 10.1080/00029890.2024.2344411
L. Bougoffa
{"title":"A Generalization of Wayment’s Mean Value Theorem for Integrals","authors":"L. Bougoffa","doi":"10.1080/00029890.2024.2344411","DOIUrl":"https://doi.org/10.1080/00029890.2024.2344411","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141015820","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
Zaremba’s Conjecture for Geometric Sequences: An Algorithm 几何序列的扎伦巴猜想：一种算法
The American Mathematical Monthly Pub Date : 2024-04-02 DOI: 10.1080/00029890.2024.2323902
Elias Dubno
{"title":"Zaremba’s Conjecture for Geometric Sequences: An Algorithm","authors":"Elias Dubno","doi":"10.1080/00029890.2024.2323902","DOIUrl":"https://doi.org/10.1080/00029890.2024.2323902","url":null,"abstract":"Even though Zaremba’s conjecture remains open, Bourgain and Kontorovich solved the problem for a full density subset. Nevertheless, there are only a handful of explicit sequences known to satisfy t...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151402","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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