470 



SCIENCE 



[N. S. Vol. XLII. No. 1083 



this is a primitive tissue in the willows and not a 

 modification of the normal tissues due to changed 

 environment; (2) that the reinstatement, under 

 stimulus of vestigial characteristics in a plant has 

 an important bearing on the question of gall pro- 

 duction, for the gall producer not only exercises 

 directive control over the active characteristics of 

 the protoplasm, but over dormant as well. Under 

 these conditions, unexpected structures and un- 

 usual combinations may well be produced. 



On a Pre-Camirian Outlier in Central Manitoba: 



Professor E. C. Wallace. Presented by A. H. 



Reginald Buller, D.Sc, P.R.S.C. 

 The Swarming of Ondotosyllis : C. McLean Feaser, 



Ph.D. Presented by A. B. Macallum, Ph.D., 



F.B.S.C. 

 Bibliograpliy of Canadian Botany for the Year 



1914: Dr. A. H. MacKay, F.E.S.C. 

 Biiliography of Canadian Geology for ISH : Wtatt 



Malcolm. Presented by E. G. McConnell, 



B.A., F.E.S.C. 

 Bibliography of Canadian Entomology for the 



Year 1914: Eev. C. J. S. Bethune, D.C.L., 



F.E.S.C. 

 Bibliography of Canadian Zoology for the Year 



1914 {Exclusive of Entomology) : E. M. Walker, 



B.A., M.B. 



Henri M. Ami 



SOCIETIES AND ACADEMIES 



THE AMERICAN MATHEMATICAL SOCIETT 



The twenty-second summer meeting of the so- 

 ciety was held at the University of California on 

 Tuesday and at Stanford University on Wednes- 

 day, August 3-4, 1915, in connection with the 

 Panama-Pacific International Exposition, thirty- 

 four members being in attendance. Professor M. 

 W. Haskell, chairman of the .San Francisco sec- 

 tion, presided on Tuesday afternoon, and Professor 

 E. E. Allardice at that on Wednesday afternoon. 



Tuesday morning was devoted to a joint session 

 with the American Astronomical Society and Sec- 

 tion A of the American Association for the Ad- 

 vancement of 'Science. Addresses were delivered 

 by Professors C. J. Keyser on ' ' The human signifi- 

 cance of mathematics," and G. E. Hale on "The 

 work of a modern observatory. ' ' The astronomers, 

 mathematicians and physicists lunched at the Fac- 

 ulty Club as guests of Professors Leuschner, Has- 

 kell and E. P. Lewis. 



The social program included a dinner with 

 the American Astronomical Society at the Hotel 

 Oakland on Wednesday evening, an excursion to 



the Lick Observatory on Friday, and a luncheon 



given bj Mrs. Phoebe Hearst at the Hacienda del 



Pozo de Verona on 'Saturday. 



The following papers were read at this meeting: 

 L. E. Dickson: " Invariantive classification of 



pairs of conies modulo 2." 



C. J. de la Valine Poussin: "Sur I'lntSgrale de 



Lebesgue. ' ' 



A. E. Schweitzer : ' ' On the solution of a class of 

 functional equations. ' ' 



Nathan Altshiller: "On the circles of Apol- 

 lonius. ' ' 



Dunham Jackson: "Proof of a theorem of Has- 

 kins. " 



W. W. Kiistermann : ' ' Fourier constants of func- 

 tions of two variables. ' ' 



B. A. Bernstein: "A set of four independent 

 postulates for the logic of classes. ' ' 



G. A. Miller : ' ' Limits of the degree of transitiv- 

 ity of substitution groups." 



E. D. Carmichael : "On the representation of 

 numbers in the form a^ + y^ -\- ^ — Sxys. ' ' 



H. S. White: "Seven points on a gauche cubic 

 curve. ' ' 



M. W. Haskell: "The del Pezzo quintic curve." 



L. J. Eichardson: "A phase of Eoman mathe- 

 matics. ' ' 



C. A. Fischer: "Functions of surfaces with ex- 

 ceptional points or curves. ' ' 



A. E. Williams: "On a birational transforma- 

 tion connected with a pencil of cubics. ' ' 



P. N. Cole: "Note on the triad systems in 15 

 letters." 



A. B. Coble: "The determination of the lines 

 on a cubic surface." 



H. S. Vandiver: "An aspect of the linear con- 

 gruence, with applications to the theory of Fer- 

 mat 's quotient. ' ' 



C. H. Forsyth: "An interpolation formula 

 based upon central and multiple differences. ' ' 



O. M. Green: "On isothermally conjugate nets 

 of space curves." 



L. P. Eisenhart: "Surfaces of rolling and trans- 

 formations of Eibaucour. " 



A. E. Schweitzer: "Generalized quasi-transitive 

 functional relations. ' ' 



L. M. Hoskins: " 'Quantity of matter' in dy- 

 namics. ' ' 



A. A. Bennett : ' ' The iteration of functions of 

 one variable. ' ' 



The next meeting of the society will be held in 

 New York, on October 30. 



F. N. Cole, 

 Secretary 



