396 



SCIENCE 



[N. S. Vol. XXXIX. No, 1002 



the spindle. The process just described will, 

 I believe, partially eliminate this difficulty, as 

 the red is somewhat translucent and each 

 chromosome seems to stand out by itself, even 

 when one lies above the other. Mature pollen 

 of Lilium tigrinum Ker. when fixed in Flem- 

 ming and embedded and sectioned in the usual 

 manner reacts to the process as follows : outer 

 wall, sculpturing, etc. (perine), bright red; 

 extine, intine and cytoplasmic structures blue 

 or bluish green; chromatin granules and 

 nucleoli in " resting " nuclei, red ; other nu- 

 clear material blue; nuclei as a whole well 

 differentiated from surrounding cytoplasm. 



Orland E. White 

 Brooklyn Botanic Garden, 

 January 31, 1914 



THE AMERICAN MATEEMATICAL SOCIETY 



The society held two large meetings during the 

 Christmas holidays, one at the University of Chi- 

 cago on December 26-27, the other at Columbia 

 University on December 30-31. The New York 

 meeting was the annual meeting of the society, 

 and was especially marked as the occasion of 

 the presidential address of Professor H. B. Fine, on 

 "An Unpublished Theorem of Kroneeker Eespect- 

 ing Numerical Equations." 



Eighty members attended the four sessions. 

 Professors W. P. Osgood and H. B. Pine occupied 

 the chair in succession. The following new mem- 

 bers were elected: Professor Pierre Boutroux, 

 Princeton University; Mr. E. H. Clarke, Purdue 

 University; Dr. W. H. Cramblet, University of 

 Rochester; Mr. H. J. Ettlinger, University of 

 Texas; Professor W. S. Franklin, Lehigh Uni- 

 versity; Mr. H. Galajikian, Princeton University; 

 Professor W. W. Hart, University of Wisconsin ; 

 Mr. Barnem Libby, University of Michigan; Mr. 

 G. W. Mullins, Columbia University; Mr. J. A. 

 Northcott, Columbia University; Dr. Mildred L. 

 Sanderson, University of Wisconsin; Mr. J. M. 

 Stetson, Princeton University. Nine applications 

 for membership were received. The total mem- 

 bership of the society is now 710, including 66 life 

 members. 



The Treasurer's report shows a balance of 

 $9,153.58. Sales of publications during the year 

 have amounted to $2,111.45. The library has in- 

 creased to 4,902 volumes. The number of papers 

 read at all meetings was 240. 



At the annual election the following officers and 

 members of the council were chosen: 



Vice-presidents: L. P. Eisenhart and E. J. 

 Wilczynski. 



Secretary: F. N. Cole. 



Treasurer: J. H. Tanner. 



Librarian: D. E. Smith. 



Committee of Fuhlication : F. N. Cole, Virgil 

 Snyder, J. W. Young. 



Members of the Council to serve until December, 

 1916: C. N. Haskins, L. M. Hoskins, E. Y. 

 Huntington, H. L. Eietz. 



The annual dinner, on Tuesday evening, was at- 

 tended by forty-seven members. 



The Madison Colloquium Lectures, delivered last 

 September by Professors L. E. Dickson and W. F. 

 Osgood, are now in press and will soon be pub- 

 lished by the society. 



The following papers were read at the annual 

 meeting : 



L. L. Dines: "Complete existential theory of 

 Shefifer 's postulates for Boolean algebras. ' ' 



Arnold Emch : ' ' Two convergency proofs. ' ' 



J. L. Coolidge : ' ' Congruences and complexes of 

 circles. ' ' 



Dunham Jackson : ' ' On the degree of converg- 

 ence of Sturm-Liouville series. ' ' 



Virgil Snyder : ' ' Birational transformations of 

 the cubic variety in four-dimensijnal space." 



Miss A. H. Tappan: "Plane sextic curves in- 

 variant urder a group of linear transformations" 

 (preliminary com—unication). 



C. L. Bouton: "Explicit formulas for the in- 

 verse of an analytic transformation in n variables. ' ' 



Edward Kasner: "The classification of con- 

 formal transformations. ' ' 



L. B. Robinson: "Questions of logic arising 

 from the study of systems of partial differential 

 equations" (preliminary report). 



Pierre Boutroux: "On a family of rational dif- 

 ferential equations of the first order. ' ' 



H. B. Fine, presidential address: "An unpub- 

 lished theorem of Kroneeker respecting numerical 

 equations. ' ' •' 



W. A. Hurwitz: "Note on the Fredholm de- 

 terminant. ' ' 



G. D. BirkhoflE: "The restricted problem of 

 three bodies. ' ' 



E. V. Huntington : ' ' On the accuracy of the 

 contracted form of Horner's method." 



O. E. Glenn : "On an analogy between formal 

 modular invariant*-, and the class of algebraical 

 invariants called Booleans. ' ' 



G. C. Evans: "Green's functions for linear 

 partial differential equations of the second order, 

 and Green 's theorem. ' ' 



W. K. Longley: "An existence theorem for a 

 certain differential equation of the nth order. ' ' 



W. C. Graustein: "The real congruence of com- 

 plex points, planes, lines." 



H. W. Eeddick : ' ' Conf ormal invariants of or- 

 thogonal curve nets" (preliminary eommuniea- 

 tion). 



