论文标题
缺席的乘客通过计算机代数问题
The Absent-Minded Passengers Problem via Computer Algebra
论文作者
论文摘要
在最近在《美国数学月刊》上发表的一篇令人愉快的文章中，诺伯特·亨兹（Norbert Henze）和吉特（Guenter）上次讨论了“缺乏意识的乘客”问题，但在概率生成功能的明确表达中，随机可变的“占据错误座位的乘客人数”的概率变量更大，当时缺乏的乘客的数量比一个人大于一个。这是在本说明中使用实验数学和符号计算来完成的。我们还为一位缺席的乘客的原始情况的前8时发出了明确的表达，并指出了如何将其扩展到一般案例
In a delightful article that recently appeared in the American Mathematics Monthly, Norbert Henze and Guenter Last discuss the "Absent-Minded Passengers" Problem, but left open finding an explicit expression for the probability generating function, of the random variable "Number of passengers occupying a wrong seat", when the number of absent-minded passengers is larger than one. This is accomplished in this note, using experimental mathematics and symbolic computation. We also derive explicit expressions for the first 8 moments of the original case of one absent-minded passenger, and indicate how to extend it to the general case
