Mat 26, 1916] 



SCIENCE 



761 



applications for membership in the society were re- 

 ceived. Professor D. E. Curtiss, of Northwestern 

 University, was reelected a member of the edi- 

 torial committee of the Traiisactions, to serve for 

 three years, and Professor L. P. Eisenhart, of 

 Princeton University, to serve on the same com- 

 mittee in place of Professor Dickson for one year. 



The twenty-first summer meeting and eighth 

 coUoquivmi of the society will be held at Harvard 

 University, September 4-9, 1916. Two courses of 

 coUoquium lectures, each five in number, will be 

 given by Professor G. C. Evans, of Rice Institute, 

 on "Topics from the theory and applications of 

 funetionals, including integral equations," and 

 Professor Oswald Veblen, of Princeton Univer- 

 sity, on "Analysis situs." The year 1916 marks 

 the twenty-fifth anniversary of the broadening out 

 of the society into a national organization and 

 of the founding of the Bulletin. It is proposed to 

 arrange an appropriate celebration of this event 

 at the summer meeting. Some seventy-five of 

 those who were members of the society in the year 

 1891 have retained their membership through 

 these twenty-five years. It is hoped that the cele- 

 bration may itself become a notable milestone in 

 the society's history. 



Committees were appointed to consider the 

 question of the publication of the Harvard Col- 

 loquium Lectures, and to consider in cooperation 

 Vfith committees of other scientific bodies the mat- 

 ter of the classification of technical literature. 

 A committee was also appointed to draw up a list 

 of nominations of officers and other members of 

 the council to be elected at the annual meeting 

 next December. 



The following papers were read at this meeting: 



Samuel Beatty: "Derivation of the comple- 

 mentary theorem from the Riemann-Eoch theo- 

 rem. ' ' 



J. F. Eitt: "The resolution into partial frac- 

 tions of the reciprocal of an entire function of 

 genus zero." 



J. P. Ritt: "Linear differential equations of 

 infinite order with constant coefficients. ' ' 



C. J. Keyser: "Concerning autonomous doc- 

 trines and doctrinal functions." 



Edward Kasuer: "Element transformations of 

 space for which normal congruences of curves are 

 invariant. ' ' 



J. H. Weaver : ' ' Some extensions of the work of 

 Pappus and Steiner on tangent circles." 



J. L. Coolidge: "New definitions for Pluoker's 

 numbers. ' ' 



G. C. Evans: "Integral equations whose ker- 



nels satisfy a certain difference equation in vari- 

 able differences. " 



Dunham Jackson: "An elementary boundary 

 value problem." 



L. P. Eisenhart : ' ' Transformations of conju- 

 gate systems." 



A. A. Bennett: "An existence theorem for the 

 solution of a type of real mixed difference equa- 

 tion. ' ' 



A. A. Bennett: "A case of iteration in several 

 variables. ' ' 



E. W. Brink : ' ' Some integral tests for the con- 

 vergence and divergence of infinite- series. ' ' 



Glenn James: "A theorem on the non-summa- 

 bility of a certain class of series. ' ' 



P. J. McMackin : ' ' Some theorems in the theory 

 of summable divergent series." 



J. E. Kline: "A definition of sense on plane 

 curves in non-metrical analysis situs." 



H. B. Fine: "On approximations to a solution 

 of a system of numerical equations. ' ' 



B. H. Camp: "Fourier multiple integrals." 



G. A. Pfeiffer: "On the couformal mapping of 

 curvilinear angles." 



G. C. Evans: "Proof of Green's theorem by ap- 

 proximating polynomials. ' ' 



A. E. Schweitzer: "On a type of quasi-transi- 

 tive functional equations. ' ' 



J. W. Alexander : ' ' Some generalizations of the 

 Jordan theorem. ' ' 



C. E. Wilder: "Expansion problems of ordinary 

 linear differential equations with auxiliary condi- 

 tions at several points. ' ' 



E. V. Huntington: "A simple example of the 

 failure of Duhamel 's theorem. ' ' 



W. F. Osgood: "Note on functions of several 

 complex variables." F. N. Cole, 



Secretary 



THE BIOLOGICAL SOCIETY OF WASHINGTON 



The 553d regular meeting of the society was 

 held in the Assembly Hall of the Cosmos Club, 

 Saturday, March 25, 1916, called to order by 

 President W. P. Hay at 8 p.m., with 40 persons 

 present. 



The president called attention to the recent 

 death of Henry Talbott, a member of the society. 



Under the heading Brief Notes and Exhibition 

 of Specimens, General Wilcox exhibited lantern 

 slide views of the country along the Mexican 

 border of the United States. 



Under the same heading Mr. A. A. Doolittle ex- 

 hibited a specimen of Amblystoma punctatum 

 from the District of Columbia. 



