Duelling Idiots and Abel Sums
IF 0.4
4区 数学
Q4 MATHEMATICS
引用次数: 0
Abstract
Abstract We investigate a puzzle involving the winning probabilities in a duel of two players. The problem of calculating limiting probabilities leads to the summation of a divergent infinite series. The solution admits a generalization that applies to a wide class of duels.决斗的白痴与阿贝尔和
摘要我们研究了一个涉及两个玩家决斗中获胜概率的谜题。计算极限概率的问题导致了发散无穷级数的求和。该解决方案承认了一个适用于广泛类别决斗的概括。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
American Mathematical Monthly
Mathematics-General Mathematics
CiteScore
0.80
自引率
20.00%
发文量
127
审稿时长
6-12 weeks
期刊介绍：
The Monthly''s readers expect a high standard of exposition; they look for articles that inform, stimulate, challenge, enlighten, and even entertain. Monthly articles are meant to be read, enjoyed, and discussed, rather than just archived. Articles may be expositions of old or new results, historical or biographical essays, speculations or definitive treatments, broad developments, or explorations of a single application. Novelty and generality are far less important than clarity of exposition and broad appeal. Appropriate figures, diagrams, and photographs are encouraged.
Notes are short, sharply focused, and possibly informal. They are often gems that provide a new proof of an old theorem, a novel presentation of a familiar theme, or a lively discussion of a single issue.
Abstracts for articles or notes should entice the prospective reader into exploring the subject of the paper and should make it clear to the reader why this paper is interesting and important. The abstract should highlight the concepts of the paper rather than summarize the mechanics. The abstract is the first impression of the paper, not a technical summary of the paper. Excessive use of notation is discouraged as it can limit the interest of the broad readership of the MAA, and can limit search-ability of the article.
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