490 



SCIENCE 



[N. S. Vol. XXXVIII. No. 979 



E. E. Hedrick and W. D. A. Westfall: "An 

 existence theorem for implicit functions. ' ' 



E. 6. D. Eichardson: "A solution of the Eay- 

 leigh minimum problem in the theory of sound. ' ' 



G. C. Evans: "The Cauchy problem for integro- 

 difEerential equations. ' ' 



Dunham Jackson : " A formula for trigonometric 

 interpolation. ' ' 



J. W. Alexander, II.: "Proof of the invarianee 

 of certain constants in analysis situs. ' ' 



J. E. Eowe : ' ' On Fermat 's theorem and related 

 theorems (first paper)." 



J. E. Eowe : ' ' On Fermat 's theorem and related 

 theorems (second paper)." 



Maxime Booher : ' ' The infinite regions of vari- 

 ous geometries. ' ' 



W. F. Osgood : ' ' On functions of several vari- 

 ables which are meromorphic or analytic at in- 

 finity. ' ' 



W. F. Osgood : ' ' Note on line integrals on an 

 algebraic surface f(x, y, s) =0. " 



E. H. Moore : " On a class of continuous func- 

 tional operations associated with the class of con- 

 tinuous functions on a finite linear interval (pre- 

 liminary communication)." 



A. E. Schweitzer : ' ' On a general category of 

 definitions of betweenness. ' ' 



A. E. Schweitzer : ' ' The theory of linear vectors 

 in Grassmann 's extensive algebra. ' ' 



A. E. Schweitzer : ' ' Eemarks on functional 

 equations. ' ' 



A. E. Schweitzer : ' ' The general logical signifi- 

 cance of uniformity of convergence of series. ' ' 



Edward Kasner: "On the ratio of the arc to 

 the chord for analytic curves. ' ' 



E. L. Dodd : ' ' The ai'ithmetio mean as approxi- 

 mately the most probable value a posteri-ori under 

 the Gaussian law. ' ' 



E. J. Wilczynski : ' ' On the surfaces whose di- 

 rectrix curves are indeterminate." 



J. B. Shaw : " On the transverse of a linear vec- 

 tor operator of n dimensions. ' ' 



Florian Cajori: "Zeno's arguments on motion." 

 O. E. Glenn : ' ' Note on a translation principle 

 connecting the invariant theory of line congruences 

 with that of plane Ji-lines. ' ' 



F. E. Sharpe: "Conies through inflections of 

 self -projective quartics." 



F. E. Sharpe and C. F. Craig: "Plane curves 

 with consecutive double points. ' ' 



Mildred L. Sanderson: "A method of construct- 

 ing binary modular covariants. ' ' 



H. M. Sheffer: " Superpostulates : introduction 

 to the science of deductive systems. ' ' 



H. M. Sheffer: "A set of six independent pos- 

 tulates for Boolean algebras. ' ' 



E. M. Winger: " Self -projective rational sex- 

 tics. ' ' 



E. M. Winger: " Self -projective rational sep- 

 timics" (preliminary report). 



M. Frechet: "Sur la notion de differentielle 

 d 'une f onction de ligne. ' ' 



Kurt Laves: "A new theorem concerning the 

 motion of two satellites of finite masses circu- 

 lating in nearly commensurable motions of type 

 J about a central and homogeneous body of ellip- 

 soidal shape. ' ' 



.H. F. Blichfeldt: "On the order of linear 

 homogeneous groups (fifth paper)." 



T. E. Eunning: "Graphical solutions of differ- 

 ential equations between two variables. ' ' 



E. P. Baker : ' ' The genus of a group. ' ' 



E. P. Baker : ' ' The topological configurations 

 occurring in finite geometries. ' ' 



E. D. Carmichael : ' ' On Fermat 's theorem and 

 related theorems. ' ' 



H. W. March : ' ' Integral and series representa- 

 tions of an arbitrary function in terms of spher- 

 ical harmonics. ' ' 



The colloquium opened on Wednesday 

 morning and occupied the rest of the week. 

 Two courses of five lectures each were given 

 by Professor L. E. Dickson on " Certain as- 

 pects of a general theory of invariants, with 

 special consideration of modular invariants 

 and modular geometry," and Professor W. P. 

 Osgood on " Topics in the theory of functions 

 of several complex variables." Printed syl- 

 labi of the lectures had been distributed in 

 advance of the meeting. Fifty-one persons 

 attended the lectures, a larger number than at 

 any previous colloquium. An abstract of the 

 lectures will be published in the Bulletin of 

 the society. 



The next meeting of the society will be 

 held at Columbia University on Saturday, 

 October 25. The San Francisco Section will 

 meet on the same day at Stanford University. 

 The annual meeting of the Southwestern Sec- 

 tion will be held at the University of Missouri 

 on Saturday, November 29. 



H. E. Slaught, 

 Acting Secretary 



