标题： 盒子中的球：关于沃伦·伊文斯和赫伯特·威尔夫主题的变体 显示英文标题

标题： Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf

摘要： 我们对 Warren Ewens 和 Herbert Wilf 的工作进行了评论、扩展和详细阐述，他们的工作发表在 http://www.pnas.org/content/104/27/11189.full.pdf 中，关于球与盒子问题中的最大值。特别是，我们将他们的巧妙方法应用于表明其实并不需要这种方法，而且在应用于现实世界时，使用所谓的泊松近似更好，因为现实中极不可能发生的事件永远不会发生。本文附带了 Maple 软件包 http://www.math.rutgers.edu/~zeilberg/tokhniot/BallsInBoxes">BallsInBoxes。 显示英文摘要

摘要： We comment on, elaborate, and extend the work of Warren Ewens and Herbert Wilf, described in their http://www.pnas.org/content/104/27/11189.full.pdf about the maximum in balls-and-boxes problem. In particular we meta-apply their ingenious method to show that it is not really needed, and that one is better off using the so-called Poisson Approximation, at least in applications to the real world, because extremely unlikely events mever happen in real life. This article is accompanied by the Maple package http://www.math.rutgers.edu/~zeilberg/tokhniot/BallsInBoxes">BallsInBoxes.