《数学松饼——没人想要一小块》,作者:William Gasarch, Erik Metz, Jacob Prinz和Daniel Smolyak,世界科学出版社,2021年,210页,平装,59.99美元。

Frederic Green
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引用次数: 0

摘要

你有5个松饼和3个(像往常一样)饥饿的学生。他们要求你把松饼均分给他们。你会把每块松饼切成3份,然后分给每个学生1/3份吗?不,因为那太简单了,更重要的是,没有学生想要任何小于松饼三分之一的东西。这能做到吗?确实可以!结果是你可以保证每个人都得到至少5/12的尺寸。每个人都能分到比这更大的份额吗?唉,答案是否定的。这是坏消息。好消息是,人们可以写一本关于它的书,这些人写了一本很棒的书。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Review of "Mathematical Muffin Morsels - Nobody wants a small piece by William Gasarch, Erik Metz, Jacob Prinz, and Daniel Smolyak World Scientific, 2021 210 pages, Softcover, $59.99."
You have 5 muffins and 3 (as usual) hungry students. They ask that you divide the muffins equitably between them. Do you cut every muffin into 3 parts, and give 5 separate pieces of size 1/3 to each student? Well no, because that's too easy, and more importantly no student wants any piece that's less than a third of a muffin. Can this be done? Indeed it can! It turns out you can guarantee that everyone gets a piece of size at least 5/12. Can everyone be guaranteed a bigger piece than that? Alas, the answer is no. That's the bad news. The good news is that one could write a book about it, and these guys wrote a great one.
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