Название: Mathematical Muffin Morsels: Nobody Wants a Small Piece (Problem Solving in Mathematics and Beyond)
Автор: William Gasarch, Erik Metz, Jacob Prinz, Daniel Smolyak
Издательство: World Scientific Published
Год: 2020
Формат: EPUB
Размер: 16 Мб
Язык: английский / English
Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3.Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division?