Pub Date : 2024-03-29DOI: 10.1080/00029890.2024.2325330
L. Halbeisen, N. Hungerbühler
{"title":"A Worked out Galois Group for the Classroom","authors":"L. Halbeisen, N. Hungerbühler","doi":"10.1080/00029890.2024.2325330","DOIUrl":"https://doi.org/10.1080/00029890.2024.2325330","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"62 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140367917","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 : 2024-03-29DOI: 10.1080/00029890.2024.2325863
Christian Aebi, Grant Cairns
{"title":"Following in Yiu’s Footsteps but on the Eisenstein Lattice","authors":"Christian Aebi, Grant Cairns","doi":"10.1080/00029890.2024.2325863","DOIUrl":"https://doi.org/10.1080/00029890.2024.2325863","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"73 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140368584","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 : 2024-03-29DOI: 10.1080/00029890.2024.2329020
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）
{"title":"Problems and Solutions","authors":"Edited by Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West","doi":"10.1080/00029890.2024.2329020","DOIUrl":"https://doi.org/10.1080/00029890.2024.2329020","url":null,"abstract":"Published in The American Mathematical Monthly (Ahead of Print, 2024)","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"235 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140324896","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 : 2024-03-27DOI: 10.1080/00029890.2024.2323961
Max A. Alekseyev
The desire for privacy significantly impacts various aspects of social behavior as illustrated by people’s tendency to seek out the most secluded spot when multiple options are available. In partic...
{"title":"Enumeration of Payphone Permutations","authors":"Max A. Alekseyev","doi":"10.1080/00029890.2024.2323961","DOIUrl":"https://doi.org/10.1080/00029890.2024.2323961","url":null,"abstract":"The desire for privacy significantly impacts various aspects of social behavior as illustrated by people’s tendency to seek out the most secluded spot when multiple options are available. In partic...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325982","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 : 2024-03-27DOI: 10.1080/00029890.2024.2322944
Adrian Rice
The first proof of the transcendence of π by Ferdinand Lindemann in 1882 prompted the publication of a wave of further proofs, all attempting to elucidate, simplify, or generalize this epoch-making...
{"title":"“The Riddle of the Ages”: James Joseph Sylvester and the Transcendence of π","authors":"Adrian Rice","doi":"10.1080/00029890.2024.2322944","DOIUrl":"https://doi.org/10.1080/00029890.2024.2322944","url":null,"abstract":"The first proof of the transcendence of π by Ferdinand Lindemann in 1882 prompted the publication of a wave of further proofs, all attempting to elucidate, simplify, or generalize this epoch-making...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312654","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 : 2024-03-27DOI: 10.1080/00029890.2024.2325325
Allan Berele, Stefan Catoiu
The k-centroids Gk of a polygon, for k = 0, 1, 2, are the centroids of the polygon when the mass is equally distributed respectively between the vertices, along the perimeter, or across the area. A...
当 k = 0、1、2 时，多边形的 k 个中心点 Gk 是质量分别平均分布在顶点、周长或面积上时多边形的中心点。A...
{"title":"Double Balanced Quadrilaterals","authors":"Allan Berele, Stefan Catoiu","doi":"10.1080/00029890.2024.2325325","DOIUrl":"https://doi.org/10.1080/00029890.2024.2325325","url":null,"abstract":"The k-centroids Gk of a polygon, for k = 0, 1, 2, are the centroids of the polygon when the mass is equally distributed respectively between the vertices, along the perimeter, or across the area. A...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312826","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 : 2024-03-25DOI: 10.1080/00029890.2024.2325862
Diana Davis, Serge Troubetzkoy
We study the set of lengths of the horizontal chords of a continuous function. We give a new proof of Hopf’s characterization of this set, and show that it implies that no matter which function we ...
{"title":"The Horizontal Chord Set","authors":"Diana Davis, Serge Troubetzkoy","doi":"10.1080/00029890.2024.2325862","DOIUrl":"https://doi.org/10.1080/00029890.2024.2325862","url":null,"abstract":"We study the set of lengths of the horizontal chords of a continuous function. We give a new proof of Hopf’s characterization of this set, and show that it implies that no matter which function we ...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299394","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 : 2024-03-22DOI: 10.1080/00029890.2024.2325884
Rachel Weir
{"title":"Reviews\u0000 Grading for Growth: A Guide to Alternative Grading Practices that Promote Authentic Learning and Student Engagement in Higher Education\u0000 . By David Clark and Robert Talbert, Routledge, 2023. 262 pp., ISBN 978-1642673814, $36.95.","authors":"Rachel Weir","doi":"10.1080/00029890.2024.2325884","DOIUrl":"https://doi.org/10.1080/00029890.2024.2325884","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":" 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140218445","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 : 2024-03-22DOI: 10.1080/00029890.2024.2323423
Edited by Vadim Ponomarenko
Published in The American Mathematical Monthly (Vol. 131, No. 6, 2024)
发表于《美国数学月刊》（第 131 卷，第 6 期，2024 年）
{"title":"100 Years Ago This Month in The American Mathematical Monthly","authors":"Edited by Vadim Ponomarenko","doi":"10.1080/00029890.2024.2323423","DOIUrl":"https://doi.org/10.1080/00029890.2024.2323423","url":null,"abstract":"Published in The American Mathematical Monthly (Vol. 131, No. 6, 2024)","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151411","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 : 2024-03-22DOI: 10.1080/00029890.2024.2322909
Jian-Guo Liu, R. Pego
{"title":"A Simple Construction of Fat Cantor Sets","authors":"Jian-Guo Liu, R. Pego","doi":"10.1080/00029890.2024.2322909","DOIUrl":"https://doi.org/10.1080/00029890.2024.2322909","url":null,"abstract":"","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140212184","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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