400 
Director Keyes tendered the hogpitality of the 
college to the two societies. Excursions into 
the country about Hanover were arranged for 
the closing days of the meetings. At the joint 
session a vote of thanks was extended to the 
college authorities for their generous coopera- 
tion toward a successful occasion. 
The meeting of the society included an 
evening session on Wednesday and the usual 
morning and afternoon sessions on Thursday, 
besides the joint session on Friday morning. 
The attendance included forty-six members. 
Professor W. W. Johnson presided at the 
Wednesday session, and Professor H. W. 
Tyler at the Thursday sessions. The follow- 
ing new members were elected: Professor 
A. L. Candy, University of Nebraska; Mr. 
J. R. Carson and Mr. R. 8. Hoyt, American 
Telephone and Telegraph Company; Dr. K. 
W. Lamson, Columbia University; Professor 
A. §. Merrill, University of Montana; Mr. 
¥F. H. Murray, Harvard University; Mr. H. W. 
Nichols, Western Electric Company; Pro- 
fessor W. EH. Patten, Government Institute of 
Technology, Shanghai, China. Nine applica- 
- tions for membership were received. 
The following papers were read at this 
meeting: 
L. B. Robinson: “ A curious system of poly- 
nomials.” 
G. A. Miller: “Groups generated by two 
operators whose relative transforms are equal 
to each other.” 
P. J. Daniell: “ Differentiation with respect 
to a function of limited variation.” 
B. F. Groat: “ Models and hydraulic sim- 
ilarity.” 
L. C. Mathewson: “On the groups of iso- 
morphisms of a system of abelian groups of 
order p™ and type (n, 1, 1,..., 1).” 
C. N. Reynolds: “ On the zeros of solutions 
of linear differential equations of the fourth 
order.” 
J. E. Rowe: “ Related invariants of two 
rational sextics.” 
W. W. Johnson: “ The nature and history 
of Napier’s rules of circular parts.” 
O. E. Glenn: “On a new treatment of 
theorems of finiteness.” 
SCIENCE 
[N. S. Von. XLVIII. No. 1242 
Louise D. Cummings: “ The trains for the 
36 groupless triads on 15 elements. 
Josephine R. Roe: “ Interfunctional expres- 
sibility problems of symmetric functions 
(third paper).” 
B. F. Groat: “Equations of the elastic 
catenary.” 
C. H. Forsyth: “Relative distributions.” 
W. D. Cairns: “A derivation of the equa- 
tion of the normal probability curve.” 
Mary F. Curtis: “Curves invariant under 
point transformations of special type.” 
G. D. Birkhoff: “ On stability in dynamics.” 
Daniel Buchanan: “Periodic orbits on a 
surface of revolution.” 
A. R. Schweitzer: “ On the iterative proper- 
ties of an abstract group (third ’paper).” 
C. N. Haskins: “On the roots of the func- 
tion P(x) associated with the gamma func- 
tion” (preliminary communication). 
Christine Ladd-Franklin: “ Bertrand Rus- 
sell and symbol logic.” 
Abstracts of the papers will appear in the 
secretary’s report in the November Bulletin. 
The next regular meeting of the society will 
be held at Columbia University on Saturday, 
October 26. 
The society has recently published Part I. 
of Volume V. of its series of Colloquium Lec- 
tures being the lectures given by Griffith C. 
Evans on “‘Functionals and their applica- 
tions: selected topics, including integral equa- 
tions” at the Cambridge Colloquium, 1916. 
F. N. Coxe, 
Secretary 
SCIENCE 
A Weekly Journal devoted to the Advancement of 
Science, publishing the official notices and pro- 
ceedings of the American Association for 
the Advancement of Science 
Published every Friday by 
THE SCIENCE PRESS 
LANCASTER, PA. GARRISON, N. Y. 
NEW YORK, N. Y. 
Entered in the post-office at Lancaster, Pa,, as second class matter 
