372 



SCIENCE 



[N. S. Vol. LIII. No. 1? 



tares, such as those of boiling water. The 

 presence of salts or other compounds may be 

 accountable for the resistance of the proteins 

 to high temperatures. 



D. T. MacDougal 

 Desert Laboratory, 

 Tucson, Arizona, 



THE AMERICAN MATHEMATICAL 

 SOCIETY 



The two hundred and fourteenth regular meet 

 ing of the American Mathematical Society was 

 held at Columbia University, on Saturday, Feb 

 ruary 26, 1921, extending through the usual morn 

 ing and afternoon sessions. The attendance in 

 eluded thirty-five members Ex-president H. B 

 Pine occupied the chair. One hundred and fifteen 

 new members were elected, and twenty-four appli 

 cations for membership in the society were re 

 ceived. 



The council voted to accept the invitation to af 

 filiate with it extended to the society by the Amer- 

 ican Association for the Advancement of Science 

 Professor E. B. Van Vleek was appointed rep 

 resentative of the society in the division of phys- 

 ical sciences of the National Research' Council, to 

 succeed Professor H. S. White. The final report 

 of the committee on membership and sales was 

 presented by its chairman, Professor E. E. Hed- 

 rick; in all one hundred and thirty- two applica- 

 tions for membership have been received through 

 this very efiicient committee. Questions having 

 arisen concerning dues of foreign members, con- 

 cerning sales, and exchanges of publications with 

 foreign societies and libraries, and concerning in- 

 dividual or concerted efforts to aid foreign jour- 

 nals, a committee was appointed by the council to 

 consider these and related problems. 



A letter was read to the council from ex-secre- 

 tary F. N. Cole donating to the society the sum 

 which accompanied the testimonial tendered him 

 at the preceding meeting of the society in recog- 

 nition of his very distinguished services. It was 

 voted that the council accept the gift and extend 

 to Professor Cole its heartiest appreciation of his 

 generosity; it was further voted that this fund 

 shall constitute, and be designated as, the Cole 

 Fund. A committee was appointed to consider 

 the use to which the income can best be devoted. 

 The council approved the suggestion that the pres- 

 ent volume of the society's Bulletin be inscribed 

 to Professor Cole. 



A letter of felicitation was sent tu ?£ . 



Mittag-Lefller, of Stockholm, on the occasion < * 

 the seventy-fifth anniversary of his birth. 



The following papers were read at this meeting: 



Coefficient of the general term in tlie expansion 

 of a product of polynomials: L. H. EiOE. 



The matliematical theory of proportional repre- 

 sentation, with a substitute for least squares: E. V. 

 Huntington. 



On the apportionment of representatives : F. W. 

 Owens. 



On the polar equation of algebraic curves: Ar- 

 nold Emch, 



Generalization of the concept of invariancy de- 

 rived from a type of correspondence between func- 

 tional domains. Second proof of the finiteness of 

 formal binary concomitants modulo p: 0. E. 

 Glenn. 



Concerning the sum of a countable number of 

 point sets: R. L. Mooee. 



On the simplification of the structure of finite 

 continuous groups with more than one two-param- 

 eter invariant subgroup: S. D. ^eldin. 



Periodic functions with a multiplication theo- 

 rem: J. F. ElTT. 



Note on equal continuity: J. F. Eitt. 



Expressions for the Bernoulli function of order 

 p: I. J. Schwatt. 



The expansion of a continued product: I. J. 

 Schwatt. 



Method for the summation of a family of series : 

 I. J. Schwatt. 



Note on the evaluation of a definite integral: 

 I. J. Schwatt. 



A property of the Pellian equation with some 

 results derived from it: John McDonnell. 



A necessary and sufficient condition tliat the 

 sum of two bounded, closed and connected point 

 sets should disconnect a plane: Anna M. Mul- 



LIKIN. 



Some empirical formulas in ballistics: T. H. 

 Gronwall. 



Summation of a double series: T. H. Gronwall. 



A geometrical characterization of the paths of 

 particles in the gravitational field of a mass at 

 rest: L. P. Eisenhart. 



The equations of interior ballistics: A. A. Ben- 

 nett. 



The next meetings of the society will be at Chi- 

 cago on March 25 and 26, and at New York, in 

 April. 



R. G. D. Richardson, 



Secretary 



