CONTENTS. 



PAGE 



On Certain Trigonometrical Series lohich have a Necessary and Sufficient 

 Condition for Uniform Convergence. By A. E. Jollifpe. (Com- 

 municated by Mr G. H. Hardy) 191 



Some Geometrical Interpretations of the Concomitants of Ttvo Qtiadrics. 



By H. ^Y. TuRNBULL, M.A. (Communicated by Mr G. H. Hardy) 196 



Some properties ofp{^n), the number of partitions ofn. By S. Ramanujan, 



B.A., Trinity College 207 



Proof of certain identities in combinatory analysis : (1) by Professor 

 L. J. Rogers; (2) by S.- Ramanujan, B.A., Trinity College. (Com- 

 municated, with a prefatory note, by Mr G. H. Hardy) . . .211 



On Mr Ramanujan's congruence properties of p (n). By H. B. C. Darling. 



(Communicated by Mr G. H. Hardy) 217 



On the exponentiation of well-order^ series. By Miss Dorothy Wrinch. 



(Communicated by Mr G. H. Hardy) . . . . . .219 



The Gauss-Bonnet Theorem for Midtiply -Connected Regions of a Siorfaee. 



By Eric H. Neville, M.A., Trinity College 234 



On an empirical formida connected with GoldhacK's Theorern. By N. M. 

 Shah, Trinity College, and B. M. Wilson, Trinity College. (Com- 

 municated by Mr G. H. Hardy) 238 



Note on Messrs Shah and Wilson^s pamper entitled: '■ On cm empirical 

 formida connected xoith GoldhacK s Theory \ By G. H. Hardy, M. A., 

 Trinity College, and J. E. Littlewood, M.A., Trinity College . 245 



The distribution of Electric Force betioeen tivo Electrodes, one of whixih is 

 covered with Radioactive Matter. By "W. J. Harrison, M.A., Fellow 

 of Clare College 255 



The conversion of soAV-diist into sugar. By J. E. Purvis, M.A. . . 259 



BracTcen as a sotorce of potash. By J. E. Purvis, M.A 261 



The action of electrolytes on the electrical conductivity of the bacterial cell 

 and their effect on the rate of migration of these cells in an electric 

 field. By C. Shearer, Sc.D., F.R.S., Clare College . . .263 



The bionomics of Aphis grossiilariae Kcdt., and Aphis viburni Schr. By 

 Maud D. Haviland, Bathm'st Student of I^wnham College. (Com- 

 municated by H. H. Brindley) 266 



Note on an expe7'iment dealing tvith mutcUion in bacteria. By L. Don- 

 caster, Sc.D., King's College. (Abstract) . . . . , 269 



