October 13, 1922] 



SCIENCE 



423 



is there any suggestion of motility on their 

 part. 



TJniversitt 01" Iowa 



Robert B. Wtlie 



THE AMERICAN MATHEMATICAL 

 SOCIETY 



The twenty-ninth summer meeting of the 

 American Mathematical Society was held at the 

 University of Rochester, Thursday and Friday, 

 Septemher 7-8, 1922, in conjunction with the 

 meeting of the Mathematical Association of 

 America. Special features of the session 

 included visits to the research laboratories of 

 the Eastman Kodak Company and to the build- 

 ings of the Bauseh and Lomb Optical Com- 

 pany, a chamber concert at the Eastman 

 School of Music, and an automobile drive 

 through the environs of Rochester, arranged by 

 the alumni of the university. A resolution was 

 passed expressing the thanks of the society for 

 the generous hospitality extended. 



The attendance included seventy memibers of 

 the society. The secretary announced the elec- 

 tion of ten persons to inem:bership in the 

 society; twenty-one applications for member- 

 ship were received. 



At the meeting of the council, committees 

 were appointed as follows: Professors C. N. 

 Haskins, T. S. Fiske and H. S. White on award 

 of the Bocher Memorial Prize; Professors 

 D. R. Curtiss, Dunham Jackson and H. H. 

 Mitchell on nomination of of&eers for 1923. 



The medal presented to the society by the 

 Royal Academy of Belgium on the occasion of 

 its one hundred and fiftieth anniversary was 

 exhibited. 



A reciprocity agreemenit was ratified with 

 the London Mathematical Society which grants 

 to members of one society membership in the 

 other at half -rates. 



The session of Friday morning was espe- 

 cially marked fcy a paper read by Professor 

 C. A. Fischer, at the request of the program 

 committee, on "Functions of lines." 



The following papers were read at this 

 meeting : 



Condition that a tensor be the curl of a vector: 



L. P. ElSENHART. 



A new class of topological invariants for tivo- 

 sided manifolds: S. Lefschetz. 



The (1, 2) quaternary correspondence asso- 



ciated with certain space involutions: F. E. 

 Shabpe and V. Snyder. 



On the summaMlity of the double Fourier 

 series: C. N. Moore. 



The theory of sets and the foundation of arith- 

 metic: N. J. Lennes. 



KirTcman parades: F. N. Cole. 



On the definition of a simple closed surface: 

 K. L. Moore and J. E. Kline. 



The theory of functions of one Boolean varia- 

 ble: K. Schmidt. 



Eepresentation of rectilinear motion by the 

 geodesies of a surface: A. Myller. 



Note on steady fluid motion: S. D. Zeldin. 



Meal representatives of analytic complex 

 curves: W. C. Graustein. 



Extension of Bernstein's theorem to Sturm^ 

 Liouville sums: Elizabeth Carlson. 



A Bohr-Langmuir contact transformation: 

 G. C. Evans. .^ 



An elementary theory of competition: G. C. 

 Evans. 



Groups in which the number of operators in a 

 set of conjugates is equal to the order of the 

 commutator subgroup : G. A. Miller. 



Expansions i?i terms of solutions of partial dif- 

 ferential equations. First paper: Multiple 

 Fourier expansions: C. C. Camp. 



On the minimum of the sum of a definite inte- 

 gral and a function of a point: E. H. Clarke. 



A simple proof of a fundamental lemma con- 

 cerning the limit of a sum: H. J. Ettlinqeb. 



Application of Duhamel's theorem to the con- 

 vergence proof for approximate solutions of dif- 

 ferential equ-ations : A. H. Cowling. 



Two theorems on multiple integrals: P. Frank- 

 lin. 



An extension of the theorem of Bayes, by the 

 use of a certain limit : E. L. Dodd. 



Fundamental systems of protomorphic formal 

 modular seminvariants of binary forms: W. L. G. 

 Williams. 



An example in potential theory: O. D. Kellogg. 



On certain systems of differential equations 

 containing a parameter: F. H. Murray. 



Periodic solutions in the problem of three 

 bodies: F. H. Murray. 



Functions of lines: C. A. Fischer. 



The expansion of a certain function: I. J. 



SCHWATT. 



The summation of a family of deranged series: 

 I. J. ScHWATT. 



The sum of the harmonic series: I. J. Schwatt. 

 R. G. D. Richardson, 



Secretary 



