430 



SCIENCE. 



[N. S. Vol. XXII. No. 562. 



The October number of The American 

 Journal of Science contains the following 

 articles : 



B. B. BoLTWOOD : ' Ultimate Disintegration Pro- 

 ducts of the Radioactive Elements.' 



C. P. Flora : ' Use of the Rotating Cathode for 

 the Estimation of Cadmium taken as the Sul- 

 phate." 



A. J. Moses : ' Crystallization of Luzonite and 

 other Crystallographic Studies.' 



F. E. Wright : ' Determining of the Optical 

 Character of Birefracting Minerals.' 



C. Barus : ' Groups of Efficient Nuclei in Dust- 

 Free Air.' 



T. Holm : ' Studies in the Cyperacese.' 



P. F. Schneider : ' Preliminary Note on Some 

 Overthrust Faults in Central New York.' 



F. N. Guild : ' Petrography of the Tucson 

 Mountains, Pima Co., Arizona.' 



The American Chemical Journal for Oc- 

 tober contains articles, as follows : 



C. LoBiNG Jackson and Latham Clarke: 

 ' Bromine Addition-Compounds of Dimethylani- 

 line ' ( Contributions from the Chemical Labora- 

 tory of Harvard College ) . 



Harry C- Jones and H. P. Bassett: 'The 

 Approximate Composition of the Hydrates Formed 

 by a Number of Electrolytes in Aqueous Solutions, 

 Together with a Brief General Discussion of the 

 Results Thus Far Obtained.' 



SOCIETIES AND ACADEMIES. 



AMERICAN MATHEMATICAL SOCIETY. 



The twelfth summer meeting of the Amer- 

 ican Mathematical Society was held at Wil- 

 liams College, Williamstown, Mass., on Thurs- 

 day and Friday, September 7-8. Twenty-eight 

 members were in attendance. Two sessions 

 were held on Thursday, and a third on Friday 

 morning. Professors Morley and Ferry filled 

 the chair. The council announced the election 

 of the following persons to membership in the 

 society : Lieutenant-Colonel C. P. Echols, U. S. 

 Military Academy; Professor G. B. Guccia, 

 University of Palermo ; Professor H. B. Evans, 

 University of Pennsylvania; Dr. A. M. Hilte- 

 beitel, Princeton University; Dr. J. M. Poor, 

 Dartmouth College; Professor J. E. Williams, 

 Virginia Polytechnic Institute. Eight appli- 

 cations for membership were received. The 



total membership of the society is now nearly 

 five hundred. 



At the close of the Thursday morning ses- 

 sion the members were conducted through the 

 grounds and buildings of Williams College 

 and the collection of mathematical models 

 were shown. On Friday afternoon the mem- 

 bers assembled at the house of President Hop- 

 kins and through the courtesy of the college 

 were taken in carriages on an excursion over 

 the Berlin Mountain, whose less accessible 

 regions were traversed on foot. Several foot 

 tours were also made on Saturday. The hos- 

 pitality of the college authorities was appro- 

 priately recognized by appreciative resolutions 

 at the close of the meeting. 



The following papers were read at the 

 meeting : 



W. H. BussEY: ' Galois field tables for p»= 169.' 



Edward Kasner : ' A geometric property of the 

 trajectories of dynamics.' 



G. A. Bliss : ' A generalization of the notion 

 of angle.' 



W. B. Fite : ' Irreducible linear homogeneous 

 groups.' 



Saul Epsteen : ' Note on the structure of hyper- 

 complex niunber systems.' 



Maurice Frechet : ' Sur I'ecart de deux courbes 

 et sur les courbes limit.' 



Richard' Morris : ' On the expressibility of the 

 automorphic functions of the group (0, 3, l^, L, h) 

 in terms of theta series.' 



J. I. Hutchinson : ' On certain hyperabelian 

 functions which are expressible by theta series.' 



N. J. Lennes : ' Concerning real functions of 

 one real variable which are completely determined 

 over an interval by the values of the function and 

 its derivatives for one value of the independent 

 variable.' 



W. A. Manning : ' On the arithmetic nature of 

 the coefficients in groups of finite monomial linear 

 substitutions.' 



Max Mason : ' On the boundary value problems 

 of linear ordinary differential equations of the 

 second order.' 



G. A. Miller : ' On the possible .number of oper- 

 ators of order 2 in a group of order 2'".' 



Frank Morley : ' On two cubic curves in tri- 

 angular relation.' 



C. H. SiSAM : ' On the determination of the nodal 

 curve on a ruled surface.' 



A. S. Chessin : ' On the strains and stresses 

 in a rapidly revolving circular disc' 



