846 



SCIENCE 



[N. S. Vol. XXXVII. No. 961 



afternoon sessions. The attendance included 

 fifty-seven members. President E. B. Van Vleek 

 occupied the chair, being relieved by Ex-Presidents 

 H. S. White and T. S. Fiske. The following new 

 members were elected: Professor E. H. Jones, 

 Daniel Baker College; Mr. L. B. Robinson, Johns 

 Hopkins University; Dr. H. M. Sheffer, Cornell 

 University; Dr. W. B. Stone, University of Mich- 

 igan; Professor F. B. Wiley, Denison University. 

 Six applications for membership were received. 

 Professors D. R. Curtiss and P. F. Smith were 

 elected members of the editorial board of the 

 Transactions to succeed Professors Bocher and 

 White, who retire in the fall. 



The following papers were read at this meeting: 

 E. L. Dodd : ' ' The error risk of the median 

 compared with that of the arithmetic mean. ' ' 



B. M. Batchelder: "The divergent series satis- 

 fying linear diiierence equations of the second 

 order. ' ' 



P. M. Batchelder : ' ' The hypergeometric differ- 

 ence equation. ' ' 



H. J. Ettlinger: "On a generalization of a 

 Sturmiau boundary problem. ' ' 



R. L. Moore : ' ' Concerning pseudo-Archimedean 

 and Yollstiindigkeit axioms." 



J. E. Rowe: "The relation between the pencil 

 of tangents from a point to a rational plane curve 

 and their parameters. ' ' 



E. G. Bill : ' ' Analytic curves in non-euclidean 

 space (third paper)." 



Joseph Slepian : "On the functions of a com- 

 plex variable defined by a differential equation of 

 the first order and the first degree. ' ' 



Nathan Altshiller : ' ' On the cubic with a double 

 point. ' ' 



C. P. Craig: "Ruled surfaces associated with 

 certain rational space curves. ' ' 



H. M. Sheffer: "The generalized principle of 

 duality in Boolean algebras. ' ' 



T. H. Gronwall : ' ' On the maximum modulus of 

 an analytic function. ' ' 



L. L. Small: "Note on the summability of prop- 

 erly divergent series. ' ' 



Maurice Frechet : ' ' Sur les classes V normales. ' ' 



Maxime BOcher: "An application of the con- 

 ception of adjoint systems." 



G. D. Birkhoff : ' ' Note on the gamma function. ' ' 



G. D. Birkhoff: "Solution of the generalized 

 Riemann problem for linear differential equations, 

 and of the analogous problem for linear difference 

 and g-differenee equations." 



L. P. Eisenhart: "Transformations of Guich- 

 ard. ' ' 



E. V. Huntington: "Sets of independent pos- 

 tulates for betweenness (second paper)." 



A. D. Pitcher : ' ' On the connection of an ab- 

 stract set, with applications to the theory of func- 

 tions of a general variable." 



A. D. Pitcher : ' ' Concerning the property A of 

 a class of functions. ' ' 



R. G. D. Richardson: "Oscillation theorems for 

 a system of ?i linear self-adjoint partial differ- 

 ential equations of the second order with n param- 

 eters. ' ' 



H. H. Mitchell : "On some systems of coUinea- 

 tion groups." 



H. S. Vandiver : ' ' Symmetric functions formed 

 by certain systems of elements of a finite alge- 

 bra, and their connection with Format's quotient 

 and Bernoulli 's numbers. ' ' 



C. A. Fischer : ' ' The derivative of a function 

 of a surface. ' ' 



C. T. Sullivan: "Properties of surfaces whose 

 asymptotic curves belong to linear complexes. ' ' 



S. D. Killam : "A note on graphical integra- 

 tion of a function of a complex variable. ' ' 



K. P. Williams : "On the asymptotic form of 

 the function ■^(a;)." 



M. G. Gabba : "A set of postulates for general 

 pi'ojective geometry in terms of point and trans- 

 formation. ' ' 



W. A. Hurwitz : ' ' Postulates sets for abelian 

 groups and fields. ' ' 



Edward Kasner: "The interpretation of the 

 Appell transformation." 



G. M. Green : ' ' Systems of ^-spreads in an n- 

 space. ' ' 



J. W. Young: "A new formulation for general 

 algebra. ' ' 



J. W. Young and F. M. Morgan : ' ' The geom- 

 etry associated with a certain group of cubic 

 transformations in space. ' ' 



The summer meeting of the society will be held 

 at the University of Wisconsin, Madison, Wis., 

 during the week September 8-13. The last four 

 days of the week will be devoted to a colloquium, 

 at which courses of lectures will be given by 

 Professor L. E. Dickson, of the University of 

 Chicago, on ' ' Certain aspects of a general theory 

 of invariants, with special consideration of mod- 

 ular invariants and modular geometry"; and by 

 Professor W. F. Osgood, of Harvard University, 

 on "Topics in the theory of analytic functions 

 of several variables. ' ' 



F. N. Cole, 



