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obvious is Inot signiificaint, beinig about 1.4 timles its stanidard deviation. If this insignificant trend be removed, the residuals have a Lexian ratio of 1. The calculations have beein carried to only the three places givein anid therefore the last place in the atverages is not certaiin. 6 A single case so isolated raises some aininoying statistical problems; it accounts for more than 3 months in the average age of election during the first 60 years and for about 0.3 year in the standard deviation of 10 years for the 224 elected in the whole 90 years. As a matter of fact Chevreul was already distinguished before the Academy was founded; he had been elected a foreign member of the Royal Society in 1826 and had received its Copley medal in 1857. 7 The distribution of the 49 foreign associates of the Academy oln July 1, 1953, by residence is: England, 17 (31%); France and Denmark, 4 each; Netherlands and Switzerland, 3 each; Canada, Germany, Norway, Russia, Scotland, and Sweden, 2 each; Argentina, Belgium, Finland, Italy, Japan, and Mexico, 1 each; and 2 are resident in the United States, of whom 1 was elected from China and 1 from England. How clifferent was the distribution reported on our fiftieth anniversary! Of a total then of 38 we find: Germany 14 (37%); Enigland, 9; Netherlands, 3; France, Russia, and Sweden, 2 each; Austria, Italy, Norway, Scotland, South Africa, and Switzerland, 1 each. 8 Proceedings of the Royal Society of London, A184, 464-477 (1945). 9 It will not do to assume that because 15.6 is greater than 14.1 our foreign associates had lower expectancies than the fellows of the Royal Society without examining the corrections analogous to Sheppard's which might have to be applied; but the examination seems unnecessary for our immediate purposes.

Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations