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At this juncture it is natural to ask whether more can justifiably be said about the growth of entropy than the rather sparse information contained in the statements (1.1), (1.2), and (1.3). With this question in mind, Ziff, Merajver, and Stell [1], conjectured, on the basis of numerical computation, that the entropy associated with the solution of a Boltzmann equation is completely monotone, that is to say

An inequality connected with the growth of entropy