492 



SCIENCE 



[N. S. Vol. XXXVI. No. 928 



notably affected the granite. As judged by 

 the mode of occurrence of the gabbro stock, 

 the stoping hypothesis recently advocated by 

 Daly or the hypothesis of marginal assimila- 

 tion might be applied to account for the more 

 acidic border phase of the gabbro, but the 

 sharp contact of the gabbro against the granite 

 would seem to preclude the possibility of ac- 

 counting for the more basic contact zones of 

 the country (granite) rock on the basis of 

 actual assimilation of some of the granite by 

 the gabbro. William J. Miller 



SOCIETIES AND ACADEMIES 



THE AMERICAN MATHEMATICAL SOCIETY 

 The nineteenth summer meeting of the Amer- 

 ican Mathematical Society was held at the Univer- 

 sity of Pennsylvania on Tuesday and Wednesday, 

 September 10-11, extending through two sessions 

 on Tuesday and a morning session on Wednesday. 

 Twenty-nine members were in attendance. Ex- 

 President H. S. White occupied the chair, being 

 relieved by Professors E. S. Crawley and E. W. 

 Davis. The council announced the election of the 

 following new members : Professor W. A. Bratton, 

 Whitman College; Professor Florence P. Lewis, 

 Goueher College; Mr. Leslie MacDill, Indiana 

 University; Professor H. W. March, University 

 of Wisconsin; Mr. M. R. Eichardson, University 

 of Chicago; Dr. J. I. Tracey, Johns Hopkins 

 University; Mr. H. 8. Vandiver, Philadelphia, Pa. 

 Five applications for membership were received. 

 On both days of the meeting luncheon was pro- 

 vided by the university. On Tuesday evening 

 twenty-six of the members gathered at the usual 

 dinner. The interval between the sessions was 

 devoted to an inspection of the university grounds 

 and buildings. On Wednesday afternoon several 

 of the members made an automobile excursion 

 about the city. At the close of the meeting a 

 resolution was adopted expressing the thanks of 

 the society for the generous hospitality of the 

 university. 



The following papers were read at this meeting: 



E. D. Carmichael : " On the theory of relativity : 

 analysis of the postulates. ' ' 



F. H. Safford: "An irrational transformation 

 of the Weierstrass 7-f unction curves. ' ' 



E. L. Dodd : ' ' The least square method grounded 

 with the aid of an orthogonal transformation." 

 E. L. Dodd: "The probability of the arith- 



metic mean compared with that of certain other 

 functions of the measurements. ' ' 



H. Blumberg: "Algebraic properties of linear 

 homogeneous differential expressions. ' ' 



J. E. Eowe: "The relation between tangents 

 and osculant (» — l)-ics of rational plane curves." 



H. H. Mitchell: "Determination of all primi- 

 tive collineation groups in »(> 4) variables which 

 contain homologies. ' ' 



Arthur Eanum : ' ' Lobachef skian polygons trig- 

 onometrically equivalent to the triangle. ' ' 



C A. Miller: "A few theorems relating to 

 Sylow subgroups." 



Anna J. Pell : ' ' Linear equations in infinitely 

 many unknowns." 



L. B. Eobinson: "Invariants of two tetra- 

 hedra. ' ' 



F. E. Sharpe: "The Klein-Ciani quartie. " 



F. E. Sharpe: "The (2 — 1) ternary corre- 

 spondence with a sextic curve of branch points." 



F. E. Sharpe and F. M. Morgan: "A type of 

 quartie surface invariant under a non-linear trans- 

 formation of period 3." 



S. Lef schetz : ' ' Double curves of surfaces pro- 

 jected from Si." 



H. Blumberg: "Sets of postulates for the ra- 

 tional, the real and the complex numbers." 



Oswald Veblen: "Decomposition of an m-space 

 by a polyhedron." 



F. N. Cole: "The triad systems of thirteen 

 letters. ' ' 



H. S. White: "Triple systems as transforma- 

 tions, and their paths among triads." 



L. C. Karpinski: "Augrim stones." 



Dunham Jackson: "On the approximate repre- 

 sentation of an indefinite integral. ' ' 



T. H. Gronwall: "Some special boundary prob- 

 lems in the theory of harmonic functions." 



T. H. Gronwall: "On analytic functions of 

 constant modulus on a given contour. ' ' 



T. H. Gronwall: "On series of spherical har- 

 monics. ' ' 



O. E. Glenn : " A general theorem on upper and 

 lower limits for the order of a factor of a p-ary 

 form with polynomial coefficients." 



E. J. Wilczynski: "On a certain class of self- 

 projective surfaces." 



The next meeting of the society will be held 

 at Columbia University on Saturday, October 26. 

 The San Francisco Section will meet at the Uni- 

 versity of California on the same day. 



F. N. Cole, 

 Secretary 



