A relationship between pantothenic acid and the adrenal gland has been evident since the earliest work with this vitamin was done. Morgan and Simms (1) found pathologic changes in the adrenals of rats on diets free from “filtrate factor,” and reported (2) that the achromotrichia of rats maintained on these diets could be at least partly reversed by extracts of the thyroid and of the adrenal cor...

We prove asymptotic estimates for the volume of families Orlicz balls in high dimensions. As an application, we describe a large family which verify famous conjecture Kannan, Lov{\'a}sz and Simonovits about spectral gaps. also study independence coordinates on uniform random vectors balls, as well integrability properties their linear functionals.