602 



SCIENCE 



[Vol. LV, No. 1431 



fellow-members of the Chicago Section. A 

 more detailed account of this testimonial and 

 of the establishment and purposes of this fund 

 has appeared in Science. 



The session on Friday afternoon was de- 

 voted to a symposium lecture by Professor 

 A. B. Coble, on "Cremona transformations and 

 applications to algebra, geometry and modiilar 

 functions," followed by questions and discus- 

 sion. The following papers were read at the 

 other sessions of the society, those of Pro- 

 fessors Dresden, Shaw and E. H. Moore being 

 by request: 



Abstract definitions of the symmetric and alter- 

 nating groups and certain other permutation 

 groups: E. D. Caemichael. 



On the zeros of successive polars of a Unary 

 form: T>. E. Cuktiss. 



Relations 'between "kindred P and Q functions: 

 D. E. CURTISS. 



On the equivalence of the Cesdro and Holder 

 means for multiple limits: C. N. Moore. 



On convergence factors in triple series and the 

 triple Fourier series: Bess M. Eversull. 



Independent sets of coaxial minors of deter- 

 minants: E. B. Stotjffer. 



On the minimizing of a class of definite inte- 

 grals: P. E. Eider. 



On the approximate representation of periodic 

 functions of two variables: Elizabeth Carlson. 



Substitution groups lohose cycles of the same 

 order contain a given number of letters: G. A. 

 Miller. 



Conformal transformations of linear homo- 

 geneous difference equations and their invariants: 

 S. D. Zeldin. 



A new form of integral expansion: Norbert 

 Wiener. 



Note on certain semi-invariants of n-lines: 

 Lennie p. Copeland. 



Besidues of figurate numbers: O. E. Glenn. 



Inter-variate correlation and the successive 

 measures of dispersion in an ordered statistical 

 series: W. L. Crum. 



Inter-variate partial regression equations in an 

 ordered statistical series: W. Xi. Crum. 



Concerning relatively uniform convergence: 

 R. L. Moore. 



On the cut-points of continuous curves and of 

 other connected point sets in space of two dimen- 

 sions: E. L. Moore. 



A solution of a spinning oblate spheroid two- 

 body problem: P. E. Carr. 



The elliptic modular functions associated with 

 the elliptic norm curve E~ : EoscOE Woods. 



Die Zerlegung von Primzahlen in algebraischen 

 ZahlTcdrpern: Andreas Speiser. 



A boundary value problem in the calculus of 

 variations: G. A. Bliss. 



Certain generalizations of osculatory interpola- 

 tion: J. P. Eeillt. 



A survey of the scientific work of the Chicago 

 Section, 1899-1922: Arnold Dresden. 



On functional transformations: J. B. Shaw. 



On the determinant of a hermitian matrix of 

 quaternionic elements. Definition and elementary 

 properties with applications: E. H. Moore. 



Trigonometric expansion of aperiodic func- 

 tions: T. C. Pry. 



Mathematical paradoxes involved in the new 

 Bucyrus gasoline shovel: E. S. Hoar. 



On permutable quadratic forms in infinitely 

 many variables: E. W. Chittenden. 



A fundamental system of invariants of a mod- 

 ular group of transformations : J. S. Turner. 



Note on a generalization of the strophoid: 

 F. H. Hodge. 



Buled surfaces of Green-reciprocal correspond- 

 ences: E. P. Lane. 



The Laplace-Poisson mixed eqiiation: K. P. 

 Williams. 



A criterion from integral equations relating to 

 the existence of solutions for the one-dimensional 

 boundary value problem: H. T. Davis. 



A general criterion relating to the existence of 

 solutions for the one-dimensional boundary value 

 problem : H. T. Davis. 



A continuous curve in the role of a space: 

 E. L. Wilder. 



Continuous transformations in analysis situs: 

 N. J. Lennes. 



On the foundation of the theory of sets : N. J. 

 Lennes. 



An error in the theory of differential equations 

 by Lie's method: L. B. Dickson. 



Present status of the history of the theory of 

 numbers: L. E. Dickson. 



The determination of a seasonal variation: 

 W. L. Hart. 



Concerning compact Kiirschdlc fields: V. D. 

 Gokhale. 



A second mechanism for illustrating lines of 

 force: W. H. Roever. 



R. G. D. Richardson, 



Secretary 



