354 



SCIENCE 



[Vol. LV, No. 1422 



On fruits of cultivated Moras alba. Type 

 material collected at Scranton, S. C, U. S. A., 

 March, 1921. Specimens have been deposited 

 in the Office of Pathological Collections, Bureau 

 of Plant Industry, U. S. Department of Agri- 

 culture, Washington, D. C. 



The manuscript giving a more complete 

 account of this organism went to press Novem- 

 ber 26, 1921, but since congressional action 

 has suspended the j^ublieation of the Journal, 

 it is deemed advisable to publish this prelim- 

 inary account at this time in order that plant 

 pathologists interested in this disease may be 

 on the watch for the apothecial stage at blos- 

 soming time. „ 



E. A. SlEGLEE, 



A. E. Jenkins 

 Bureau or Plant Industry, 

 Washington, D. C. 

 Febbuaey 1, 1922 



THE AMERICAN MATHEMATICAL 

 SOCIETY 



The two hundred and twenty-first regular 

 meeting of the American Mathematical Society 

 was held at Columbia University, New York 

 City, on February 25, 1922. The attendance 

 included seventy-five members of the society. 

 The election of thirty-five new members was 

 announced. 



The secretary announced the gift, by an 

 anonymous donor, of the sum of $4,000 to pay 

 for an additional volume of the Transactions, 

 to be printed in 1922. The society adopted a 

 resolution thanking the donor for this very 

 generous gift. . 



Professor C. N. Haskins, of Dartmouth Col- 

 lege, was selected to succeed Professor L. E. 

 Dickson, of the University of Chicago, as one 

 of the three representatives of the society in 

 the Division of Physical Sciences of the Na- 

 tional Research Council. 



The afternoon session was especially marked 

 by the presentation of a paper by Professor 

 J. L. Coolidge, by request of the program com- 

 mittee, on The basis of mathematical prob- 

 ability. A number of members of the Actu- 

 arial Society attended, by invitation, to hear 

 this paper. 



The following papers were read: 



Invariant points in function space : G. D. Bikk- 

 Hopr and O. D. Kellogg. 



A property of certain functions whose Sturmian 

 developments do not terminate: O. D. Kellogg. 



The boundary problems and developments asso- 

 ciated ioith a system of ordinary linear differ- 

 ential equations of the first order: G. D. Birk- 

 HOPP and E. E. Langee. 



Developments associated with a boundary prob- 

 lem not linear in the parameter : R. E. Langer. 



Ricci's principal directions for a Biemann space 

 and the Einstein theory: L. P. Eisenhart. 



Normal congruences and quadruply infinite fami- 

 lies of curves: J. Douglas. 



Qualitative properties of the ballistic trajectory. 

 Second paper: T. H. Gronwall. 



The reflection of X-rays in a finite 7iumber of 

 equidistant parallel planes: T. H. Gronwall. 



Tlie basis of mathejnatical probability: J. L. 

 Coolidge. 



On the "Alabama paradox" in the problem of 

 apportionment of representatives: E. V. Hunt- 

 ington. 



On the d'Hondt method of apportionment, and 

 its counterpart: E. V. Huntington. 



Theorems on sequences of sets of points: G. A. 

 Pfeiffer. 



The Fredholm theory of Stieltjes integral equa- 

 tions: C. A. Fischer. 



A closed set of normal orthogonal functions: 

 J. L. Walsh. 



Kinematics in a complex plane and some geometric 

 applications: A. Emch. 



On functions with integrals of elementary char- 

 acter: J. E. ElTT. 



Geometrical properties of the system of all the 

 curves of constant pressure in a field of force : 

 E. M. MORENUS. 



Spherical representation of conjugate systems and 

 asymptotic lines: W. C. Graustein. 



The distribution of current in a long cylindrical 

 conductor: C. Manneback. 



Operational solution of equations of nth degree: 

 A. Press. 



Maximal cuspidal curves: T. B. Hollcropt. 



Method for the separation into partial fractions 

 of powers of trigonometric functions: I. J. 



SCHWATT. 



The expansion of the continued product, 

 n 



T\(X -\- Tc): I. J. SCHWATT. 



h — 1 



R. G. D. RppHAEDSON, 



' '" Secretary 



