On the Differential Equations of Slip Flow

1 Daniell, P. J., "A General Form of Integral," Ann. Math., 19, 279-294 (1917-1918). 2 Some remarks of H. Blumberg, Am. Math. Monthly, 53, 189 (1946), on Lebesgue measure shed much light on the subject for me and started a train of thought culminating in the introduction of an "upper integral" here. B The nucleus of a function is the closure of the set of points where it assumes nonzero values. 4 Weil, A., L'Integration dans les Groupes Topologiques et ses Applications, Paris, 1938, 34-38. 5 This result is believed to be new. 6 Stone, M. H., "The Generalized Weierstrass Approximation Theorem," Math. Mag. 21,167-183 (1948); see particularly §2, where Corollary 2 to Theorem 3 gives the relevant information. 7 Other conditions leading to (14) have been investigated by Mr. H. Rubin, who, as a member of one of my classes, made many useful comments on the subject-matter of this whole paragraph.