标题： 重大化：此处、彼处与处处 显示英文标题

标题： Majorization: Here, There and Everywhere

摘要： 马歇尔和奥尔金于1979年出版的关于不等式的书，特别是对主要化给予了特别关注，这在广泛的领域内激发了人们对主要化和舒尔凸性潜在应用的兴趣。这种情况在25年后依然如此。本文列举了在过去25年内，主要化被认为在众多不同领域中有用的一些例子。 显示英文摘要

摘要： The appearance of Marshall and Olkin's 1979 book on inequalities with special emphasis on majorization generated a surge of interest in potential applications of majorization and Schur convexity in a broad spectrum of fields. After 25 years this continues to be the case. The present article presents a sampling of the diverse areas in which majorization has been found to be useful in the past 25 years.