256 REPORTS ON THE STATE OF SCIENCE, ETC. 



MATHEMATICAL TABLES. 



Report of Committee on Calculation of Mathematical Tables (Prof. E. H. 

 Neville, Chairman ; Prof. A. Lodge, Vice-Chairman ; Dr. L. J. 

 Comrie, Secretary; Dr. J. R. Airey, Dr. W. G. Bickley, Prof. 

 R. A. Fisher, F.R.S., Dr. J. Henderson, Dr. E. L. Ince, Dr. J. O. 

 Irwin, Dr. J. C. P. Miller, Mr. F. Robbins, Mr. D. H. Sadler, 

 Dr. A. J. Thompson, Dr. J. F. Tocher and Dr. J. Wishart). 



General Activity. — Seven meetings of the Committee have been held, 

 in London. 



The grant of £200 has been expended as follows : £ s. d. 



Re-interpolation of K (x) and K^x) for x = 



2- 00(0 -01)5- 00 . . . . . .200 



Completion of calculation of functions J 2 (x) to 



Jn(x) ■ ■ 74 5 6 



Calculation of functions k 2 (x) to k 20 (x) for the 



range x = o to x = 5 . . . . 25 14 6 



Calculations connected with the functions k 2 (x) 



to k 20 (x) for the range x = 5 to x = 20 . . 15 o o 



Calculations connected with the functions I 2 (x) 



to I 6 (x) . 2 12 6 



Miscellaneous Bessel function calculations . 69 5 6 



Secretarial and miscellaneous expenses . .1120 



Publication of Parts. — In order to avoid the delay that would occur if 

 small tables were held over till a volume of reasonable size could be issued, 

 it has been decided that some of the future volumes shall be published in 

 parts. These parts will be available separately in paper covers. After 

 the printing of several parts, it is intended that they shall also be made 

 available in cloth-bound volumes. 



Factor Table. — This volume, containing all the factors of all numbers 

 up to 100,000, was published in December. It constitutes the third volume 

 published at the expense of the Cunningham Bequest. 



Table of Powers. — The Committee has been very fortunate in receiving, 

 as a gift from Mr. H. J. Woodall, a stereo proof of a table showing all the 

 powers up to the twelfth of all numbers up to 1000, prepared by J. W. L. 

 Glaisher. This table was first mentioned in the Committee's Report for 

 1873, but for some reason that is not known was never published. A single 

 copy was lent to Cunningham (see Messenger of Mathematics, vol. xxxv 

 (1905), p. 22), and passed, on his death, to Mr. Woodall. This is the 

 copy now in the possession of the Committee, and is probably the only copy 

 extant. Inspired by the gift of Glaisher's power table, the Committee has 

 obtained Council authority for the publication of a table of powers, at the 

 expense of the Cunningham Bequest. The proposed contents are x n , 

 where : 



(a) x = 1-49, n = 1-30(5)50 



(b) x = 50-119, n = 1-20(5)50 



(c) x = 120-249, n = 1-20 



(d) x = 250-1049, n = 1-12 



The work of new calculation and preparation of printer's copy has been 

 begun, under the supervision of Dr. Miller. 



