Mat 8, 1908] 



SCIENCE 



743 



L. E. Dickson : " Representations of the gen- 

 eral symmetric group as linear groups in finite 

 and infinite fields." 



L. P. EiSENHAET : " Surfaces witli isothermal 

 representation of their lines of curvature and 

 their transformations." 



J. L. CooLlDGE : " The equilong transformations 

 •of space." 



A. Ranum : " Concerning linear substitutions of 

 finite period with rational coeflicients." 



E. B. Allen : " On hypercomplex number sys- 

 tems belonging to an arbitrary domain of ration- 

 ality." 



G. D. BrBKHOFF : " On the asymptotic character 

 of the solutions of certain linear differential equa- 

 tions containing a parameter." 



G. A. MiLLEE: " On the holomorph of the cyclic 

 group of order pm." 



E. B. Van Vleck: "On non-measurable sets of 

 points, with an example." 



The April number (volume 14, number 7) 

 ■of the Bulletin of the American Mathematical 

 Society contains the following papers : " Sub- 

 jective Geometry," by G. W. Hill; "On 

 Higher Congruences and Modular Invari- 

 ants," by L. E. Dickson; "Note on Jacobi'a 

 Equation in the Calculus of Variations," by 

 Max Mason; "On the Distance from a Point 

 to a Surface," by E. E. Hedrick; "A Geo- 

 metric Representation of the Galois Field," 

 by L. I. Neikirk ; " Concerning the Degree of 

 an Irreducible Linear Homogeneous Group," 

 by W. B. Eite; "On the Lorentzian Trans- 

 formation and the Radiation from a Moving 

 Electron," by F. R. Sharpe; "Shorter No- 

 tices " (Walker's On the Resolution of Higher 

 Singularities of Algebraic Curves into Ordi- 

 nary Nodes, by H. S. White; E. Bopp's Die 

 Kegelschnitte des Gregorius a St. Vincentio 

 in vergleichender Bearbeitung, by F. Cajori; 

 Annuaire du Bureau des Longitudes pour 

 L'An 1908, by E. W. Brown; Kuenen's Die 

 Zustandsgleichung der Gase und Fliissigkeiten 

 und die Kontinuitatstheorie, by E. B. Wil- 

 son) ; " Notes " ; " New Publications." 



The May number of the Bulletin contains : 

 Report of the February Meeting of the Amer- 

 ican Mathematical Society, by F. N. Cole; 

 Report of the February meeting of the San 

 Francisco Section, by W. A. Manning ; " A 

 Fundamental Invariant of the Discontinuous 



^-Groups Defined by the Normal Curves of 

 Order n. in a Space of n Dimensions," by J. 

 W. Young ; " On Certain Constants Anal- 

 ogous to Fourier's Constants," by C. N. 

 Moore ; " Note on the Second Variation in an 

 Isoperimetric Problem," by E. Swift; "Note 

 on a Certain Equation Involving the Func- 

 tion E(x)," by R. D. Carmichael; " The Inner 

 Force of a Moving Electron," by F. R. Sharpe ; 

 " The Recently Discovered Manuscript of 

 Archimedes," by C. S. Slichter; "Shorter 

 Notices " (P. H. Sehoute's Mehrdimensionale 

 Geometrie, II. Teil, Die Polytope, by W. B. 

 Carver ; Field's Theory of the Algebraic Func- 

 tions of a Complex Variable, by J. I. Hutch- 

 inson) ; " Notes " ; " New Publications." 



SOCIETIES AND ACADEMIES 

 BOSTON SOCIETY OF MEDICAL SCIENCES 



A MEETING was held at the Harvard Medical 

 School on March 17, Professor H. C. Ernst 

 presiding. The following papers were pre- 

 sented : 



A Note on a New Thermo chemical Method: 

 Dr. L. J. Henderson and C. T. Ryder. 

 By introducing a reaction mixture into a 

 Dewar flask which is immersed in a very ac- 

 curately regulated water thermostat, it is 

 possible to obtain very accurate measurements 

 of heats of reaction of slowly progressing re- 

 actions. It has been found that in such a sys- 

 tem Newton's law holds very accurately, and 

 that the correction thus involved, with proper 

 manipulation, is very small. 



A Series of Ninety-one Blood-cultures: Dr. 

 Lawrence J. Rhea. 



An Intracanalicular Papillary Adeno-fihroma 

 from the Groin, with lantern illustrations: 

 Mr. E. L. Young. 



The Theory of Neutrality Regulation in the 

 Animal Organism: Dr. L. J. Henderson. 

 By analysis of the equilibrium between the 

 four substances carbonic acid, sodium bicar- 

 bonate, mono-sodium phosphate and di-sodium 

 phosphate, with the aid of the concentration 

 law, it may be shown that previous findings 

 concerning the constitution of such systems 

 are in accord with the theory. Curves have 



