Pub Date : 2024-09-05DOI: 10.1080/00029890.2024.2389723
Edited by Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West
Published in The American Mathematical Monthly (Ahead of Print, 2024)
发表于《美国数学月刊》（2024 年提前出版）
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Pub Date : 2024-08-28DOI: 10.1080/00029890.2024.2376504
Edited by Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West
Published in The American Mathematical Monthly (Ahead of Print, 2024)
发表于《美国数学月刊》（2024 年提前出版）
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Pub Date : 2024-08-19DOI: 10.1080/00029890.2024.2386921
David M. Bradley
Published in The American Mathematical Monthly (Ahead of Print, 2024)
发表于《美国数学月刊》（2024 年提前出版）
{"title":"The Area Under the Witch of Agnesi","authors":"David M. Bradley","doi":"10.1080/00029890.2024.2386921","DOIUrl":"https://doi.org/10.1080/00029890.2024.2386921","url":null,"abstract":"Published in The American Mathematical Monthly (Ahead of Print, 2024)","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260301","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}
Pub Date : 2024-08-16DOI: 10.1080/00029890.2024.2380231
Edited by Vadim Ponomarenko
Published in The American Mathematical Monthly (Ahead of Print, 2024)
发表于《美国数学月刊》（2024 年提前出版）
{"title":"100 Years Ago This Month in The American Mathematical Monthly","authors":"Edited by Vadim Ponomarenko","doi":"10.1080/00029890.2024.2380231","DOIUrl":"https://doi.org/10.1080/00029890.2024.2380231","url":null,"abstract":"Published in The American Mathematical Monthly (Ahead of Print, 2024)","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142218169","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}
Pub Date : 2024-08-16DOI: 10.1080/00029890.2024.2379748
Rinnosuke Matsuhira, Toshiki Matsusaka, Koki Tsuchida
Inspired by Episode 3 of the Japanese manga “Seisu-tan” by Doom Kobayashi and Shin-ichiro Seki, we investigate the k-Göbel sequence (gk,n)n named after Fritz Göbel. Although the sequence is genera...
受小林斗门和关真一郎创作的日本漫画《精卫填海》第 3 集的启发，我们研究了以弗里茨-戈贝尔命名的 k 戈贝尔序列 (gk,n)n。虽然该序列属于...
{"title":"How Long Can k-Göbel Sequences Remain Integers?","authors":"Rinnosuke Matsuhira, Toshiki Matsusaka, Koki Tsuchida","doi":"10.1080/00029890.2024.2379748","DOIUrl":"https://doi.org/10.1080/00029890.2024.2379748","url":null,"abstract":"Inspired by Episode 3 of the Japanese manga “Seisu-tan” by Doom Kobayashi and Shin-ichiro Seki, we investigate the k-Göbel sequence (gk,n)n named after Fritz Göbel. Although the sequence is genera...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269607","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}
Pub Date : 2024-08-12DOI: 10.1080/00029890.2024.2380232
Jean-Paul Allouche, Claude Morin
Inspired by a question asked on the list mathfun, we revisit Kempner-like series, i.e., harmonic sums ∑′1/n where the integers n in the summation have “restricted” digits. First we give a short pro...
受 mathfun 列表中一个问题的启发，我们重温了类似坎普纳的数列，即和中∑′1/n 的整数 n 具有 "限制 "位数的谐和。首先，我们简要介绍了...
{"title":"Kempner-like Harmonic Series","authors":"Jean-Paul Allouche, Claude Morin","doi":"10.1080/00029890.2024.2380232","DOIUrl":"https://doi.org/10.1080/00029890.2024.2380232","url":null,"abstract":"Inspired by a question asked on the list mathfun, we revisit Kempner-like series, i.e., harmonic sums ∑′1/n where the integers n in the summation have “restricted” digits. First we give a short pro...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142218168","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}
Pub Date : 2024-08-12DOI: 10.1080/00029890.2024.2379751
Nicholas J. Werner
It is well known that if G is a group and H is a normal subgroup of G of finite index k, then xk∈H for every x∈G. We examine finite groups G with the property that xk∈H for every subgroup H of G, w...
众所周知，如果 G 是一个群，而 H 是 G 的有限指数 k 的正则子群，则对于每个 x∈G，xk∈H。
{"title":"A Note on Finite Nilpotent Groups","authors":"Nicholas J. Werner","doi":"10.1080/00029890.2024.2379751","DOIUrl":"https://doi.org/10.1080/00029890.2024.2379751","url":null,"abstract":"It is well known that if G is a group and H is a normal subgroup of G of finite index k, then xk∈H for every x∈G. We examine finite groups G with the property that xk∈H for every subgroup H of G, w...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142218171","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}
Pub Date : 2024-07-26DOI: 10.1080/00029890.2024.2336487
Vesta Coufal, Elizabeth Denne, Suzanne Dorée, Frank A. Farris, Perla Myers, Derek Smith
{"title":"Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2024 to Michael Dorff for Distinguished Service to Mathematics","authors":"Vesta Coufal, Elizabeth Denne, Suzanne Dorée, Frank A. Farris, Perla Myers, Derek Smith","doi":"10.1080/00029890.2024.2336487","DOIUrl":"https://doi.org/10.1080/00029890.2024.2336487","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"8 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141801034","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}
Pub Date : 2024-07-26DOI: 10.1080/00029890.2024.2342757
{"title":"The Paul R. Halmos–Lester R. Ford Awards for 2023","authors":"","doi":"10.1080/00029890.2024.2342757","DOIUrl":"https://doi.org/10.1080/00029890.2024.2342757","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"4 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799419","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}
Pub Date : 2024-07-22DOI: 10.1080/00029890.2024.2363732
Paul Pollack
It is well known that factorization is not unique in Z[−5]. We give a short, self-contained proof that Z[−5] is “halfway” toward being a unique factorization domain: For every nonzero, nonunit α∈Z[...
{"title":"Z[−5] : Halfway to Unique Factorization","authors":"Paul Pollack","doi":"10.1080/00029890.2024.2363732","DOIUrl":"https://doi.org/10.1080/00029890.2024.2363732","url":null,"abstract":"It is well known that factorization is not unique in Z[−5]. We give a short, self-contained proof that Z[−5] is “halfway” toward being a unique factorization domain: For every nonzero, nonunit α∈Z[...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"111 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771426","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}
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