Introduction

Abstract

The theory of majorization is perhaps most remarkable for its simplicity. How can such a simple concept be useful in so many diverse fields? The plethora of synonyms or quasi-synonyms for variability (diversity, inequality, spread, etc.) suggest that we are dealing with a basic conception which is multifaceted in manifestation and not susceptible to a brief definition which will command universal acceptance. Yet there is an aspect of inequality which comes close to the elusive universal acceptance. The names associated with this identifiable component of inequality are several. Effectively, several authors happened upon the same concept in different contexts. Any list will probably do injustice to some group of early researchers.