844 



SCIENCE 



[N. S. Vol. XLII. No. 1093 



hoped to return to Africa in the near future and 

 take motion pictures of the great apes. 

 The society adjourned at 10.10 p.m. 



M. W. Lton, Jr., 

 Recording Secretary 



THE AMERICAN MATHEMATICAL SOCIETT 



The one hundred and seventy-eighth regular 

 meeting of the society ttes held at Columbia Uni- 

 versity on Saturday, October 30, 1915. Fifty-one 

 members attended the two sessions. President E. 

 W. Brown occupied the chair. The council an- 

 nounced the election of the following persons to 

 membership in the society: Mr. D. E. Belcher, Co- 

 lumbia University; Professor J. W. Calhoun, Uni- 

 versity of Texas; Professor Sarah E. Cronin, State 

 University of Iowa; Mr. C. E. Epperson, Kirks- 

 ville Normal School, Mo.; Dr. Olive C. Hazlett, 

 Eadcliffe College; Mr. C. M. Hebbert, University 

 of Illinois; Miss Goldie P. Horton, University of 

 Texas; Professor W. S. Lake, School of Mines and 

 Industries, Bendigo, Australia; Mr. D. H. Leavens, 

 College of Tale ia China; Mr. C. T. Levy, Univer- 

 sity of California; Dr. P. W. Reed, University of 

 Illinois; Professor L. H. Eiee, Syracuse Univer- 

 sity; Mr. J. F. Eitt, Columbia University; Pro- 

 fessor D. M. Y. Sommerville, Victoria University 

 College, Wellington, N. Z.; Miss LeUa E. Stough- 

 ton, Eosemary Hall School, Greenwich, Conn.; Dr. 

 C. E. Wilder, Pennsylvania State College; Mr. A. 

 E. Williams, University of California; Dr. L. T. 

 Wilson, University of Illinois; Dr. F. E. Wright, 

 U. S. Geological Survey. Four applications for 

 membership in the society were received. 



A list of nominations for officers and other mem- 

 bers of the council to be elected at the annual 

 meeting was prepared for the official ballot for the 

 annual election. A committee was appointed to 

 audit the accounts of the treasurer for the cur- 

 rent year. 



Twenty members were present at the dinner ar- 

 ranged for the evening, always one of the most 

 pleasant features of the meetings. 



The twenty-third summer meeting of the society 

 will be held at Harvard University early in Sep- 

 tember, 1916. At the seventh colloquium of the 

 society, held in connection with this meeting, 

 courses of lectures will be given as follows: By 

 Professor G. C. Evans, ' ' Topics from the theory 

 and applications of functionals, including integral 

 equations." By Professor Oswald Veblen, "Anal- 

 ysis situs." 



The following papers were read at the October 

 meetmg : 



G. A. PfeifEer: "Existence of divergent solu- 



tions of the functional equations 0[g' (a;)] =00(2;), 

 f\.f{'^)]^=g{x), where g{x) is a given analytic 

 function, in the irrational case. ' ' 



C. N. Haskins: "On the extremes of bounded 

 summable functions and the distribution of their 

 functional values." 



G. M. Green: "Projective differential geometry 

 of one-parameter families of space curves, and 

 conjugate nets on a curved surface. Second me- 

 moir. ' ' 



G. M. Green : ' ' The linear dependence of func- 

 tions of several variables. ' ' 



A. E. Schweitzer : ' ' On the dependence of alge- 

 braic equations upon quasi- transitiveness. " 



H. S. Carslaw: "A trigonometrical sum and the 

 Gibbs phenomenon in Fourier series. ' ' 



W. F. Osgood: "On a sufficient condition for 

 a non-essential singularity of a function of several 

 complex variables." 



Dunham Jackson: "Singular points of func- 

 tions of several complex variables. ' ' 



W. F. Osgood : "On functions of several com- 

 plex variables. ' ' 



L. P.. Eisenhart: "Envelopes of rolling and 

 transformations of Eibaucour. ' ' 



W. B. Fite : ' ' Note on homogeneous linear dif- 

 ferential equations of the second order. ' ' 



H. S. Vandiver: "Note on the distribution of 

 quadratic residues. ' ' 



G. D. Birkhoff: "A theorem concerning the 

 singular points of ordinary linear differential 

 equations. ' ' 



H. S. White: "Closed systems of sevens in a 

 3-3 correspondence." 



W. E. Longley: "Note on a theorem on en- 

 velopes." 



A. E. Schweitzer : "On the dependence of 

 algebraic equations upon quasi-transitiveness. 

 Second paper." 



A. E. Schweitzer : "A new functional charac- 

 terization of the arithmetic mean. ' ' 



The San Francisco section of the society held 

 its twenty-seventh regular meeting at Stanford 

 University on November 20. The Southwestern 

 section held its ninth regular meeting at Wash- 

 ington University, St. Louis, on November 27. 

 The annual meeting of the society will be held at 

 Columbia University on Monday and Tuesday, De- 

 cember 27-28. The Chicago section will meet at 

 Columbus, Ohio, in affiliation with the American 

 Association for the Advancement of Science on 

 December 30-31 and January 1. 



F. N. Cole, 

 Secretary 



