从实验数学的角度看什么时候停止这个古老而又开放的问题？
An Experimental Mathematics Perspective on the Old, and still Open, Question of When To Stop?
摘要：
在《美国科学家》最近的一篇文章中，西奥多·希尔描述了一个掷硬币游戏，其收益是正面的数量除以投掷的总数。假设在游戏中的某个给定点上，你有5个正面和3个反面，你应该停下来得到5/8，还是应该继续玩，希望得到更好的分数？这仍然是一个悬而未决的问题。本文从实验数学的角度探讨了这一博弈的不同策略。
英文摘要：
In a recent article in American Scientist, Theodore Hill described a coin-tossing game whose pay-off is the number of heads over the total number of throws. Suppose that at a given point during the game you have 5 heads and 3 tails, should you stop and get 5/8, or should you keep playing, hoping to get a better score? This is still an open problem. In the present article, we explore different strategies to this game from the Experimental Mathematics perspective.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
