论文标题
关于封闭式解决方案的注释，该解决方案是亚伯拉罕·德·莫伊夫（Abraham de Moivre）最长的头部运行问题
A note on the closed-form solution for the longest head run problem of Abraham de Moivre
论文作者
论文摘要
亚伯拉罕·德·莫伊夫（Abraham de Moivre）在他的第二版《机会学说》（De Moivre，1738年）中引入和解决了最长的头部跑步问题。 USPENSKY（1937）提供了涉及二项式系数的有限总和。从那时起，问题及其变化和扩展引起了广泛的兴趣和多样化的应用。令人惊讶的是，我们可以在本说明中获得非常简单的封闭形式。
The problem of the longest head run was introduced and solved by Abraham de Moivre in the second edition of his book Doctrine of Chances (de Moivre, 1738). The closed-form solution as a finite sum involving binomial coefficients was provided in Uspensky (1937). Since then, the problem and its variations and extensions have found broad interest and diverse applications. Surprisingly, a very simple closed form can be obtained, which we present in this note.
