192 



SCIENCE 



[N. S. Vol. LIII. No. 1365 



morning and afternoon sessions on each day. The 

 attendance included 86 members. President Frank 

 Morley occupied the chair, relieved by G. D. Birk- 

 hofE, E. Q. D. Richardson, and H. S. "White. The 

 following new members were elected: Professor L. 

 M. Cofan, Coe College; Professor I. H. Penn, Poly- 

 technic Institute of Brooklyn; Dr. Ludwik Silber- 

 stein, Eastman Kodak Company; Dr. W. L. G. 

 Williams, Cornell University. One hundred and 

 twenty-one applications for membership were re- 

 ceived. 



At the annual election the following ofiicers and 

 other members of the council were chosen: Presi- 

 dent, G. A. Bliss; vice-presidents, P. N. Cole and 

 Dunham Jackson; secretary, E. G. D. Eichardson; 

 treasurer, W. B. Fite; committee of publication, 

 E. E. Hedrick, W. A. Hurwitz, J. W. Young; mem- 

 bers of the councU to serve until December, 1923, 

 T. H. Gronwall, 0. D. Kellogg, Florence P. Lewis, 

 A. D. Pitcher. 



The total membership of the society is now 769, 

 including 87 life members. The total attendance of 

 members at all meetings, including sectional meet- 

 of papers read was 211. The number of mem- 

 bers attending at least one meeting during the 

 year was 280. At the annual election 189 votes 

 were cast. The treasurer 's report shows a balance 

 of $8,994.53, including the life membership fund 

 of $7,518.87. Sales of the society's publications 

 during the year amounted to $2,067.74. The li- 

 brary now contains 5,862 volumes, excluding some 

 500 unbound dissertations. 



At the meeting of the council. Professor T. S. 

 Fiske, as representative of the contributors to the 

 Bocher memorial fund, tendered the fund to the 

 society to be held in trust and the income to be 

 employed for the advancement of mathematical 

 science. The trust was accepted, and a committee 

 appointed to consider the most appropriate use to 

 which the income of the fund could be devoted. 



A committee was appointed to make the neces- 

 sary arrangements for the meeting of the society 

 to be held at Wellesley College in the summer of 

 1921. 



The afternoon session on Tuesday was espe- 

 cially marked by the retiring presidential address 

 of Professor Frank Miorley, on ' ' Pleasant questions 

 and wonderful effects. ' ' A dinner was held at the 

 Faculty Club Tuesday evening at which fifty 

 members were present. 



At the close of the morning session on Wednes- 

 day, Professor H. .S. White, in a short address, 

 tendered the thanks of the society to Professor 



Cole for his distinguished services during his 

 twenty-five years of ofSee as secretary of the so- 

 ciety and editor of its Bulletin. 



The following papers were read at the annual 

 meeting : 



C. E. Wilder: "Einstein's four-iiimenaional 

 space is not contained in a five-dimensional linear 

 space. ' ' 



J. L. Walsh: "On the convergence of the 

 Sturm-Liouville series. ' ' 



Anna M. Mullikin : ' ' Certain theorems concern- 

 ing connected point sets. ' ' 



A. E. Schweitzer: "On homogeneous functions 

 as generators of an abstract field. ' ' 



A. E. Schweitzer: "The concept of an iterative 

 compositional algebra. ' ' 



Joseph Lipka: "Transformations of trajectories 

 on a surface. ' ' 



Harry Langman: "Conformal transformations 

 of period n and groups generated by them." 



O. E. Glenn: "On a new treatment of theorems 

 of finiteness (second paper)." (Preliminary re- 

 port.) 



J. E. Eowe: "The efiSciency of projectile and 

 gun. ' ' 



S. D. Zeldin: "On the structure of finite con- 

 tinuous groups with one two-parameter subgroup." 



S. D. Zeldin: "On the structure of finite con- 

 tinuous groups with a finite number of exceptional 

 infinitesimal transformations. ' ' 



H. S. Vandiver: "On quadratic congruences and 

 the factorization of integers." 



B. V. Huntington: "A mathematical theory of 

 proportional representation. ' ' 



H. M. Morse: "Eecurrent motions of the dis- 

 continuous type. ' ' 



Frank Morley: presidential address: "Pleasant 

 questions and wonderful effects." 



Edward Kasner: "Properties of orbits in the 

 general theory of relativity." 



Edward Kasner: "The solar gravitational field 

 in finite form. ' ' 



Norbert Wiener: "The average of an analytic 

 functional. ' ' 



Norbert Wiener: "The average of a func- 

 tional. ' ' 



Norbert Wiener: "Further properties of the 

 average of a functional." 



Gillie A. Larew: "The Hilbert integral and 

 Mayer fields for the problem of Mayer in the cal- 

 culus of variations. ' ' 



E. M. Mathews : ' ' Generalizations of the clas- 

 sical construction of the strophoid. " 



