MATHEMATICAL TABLES 263 



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. R. A. Fisher, Dr. J. 

 Henderson, Dr. J. O. Irwin, Dr. E. S. Pearson, Mr. F. Robbins, 

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



General activity. — Eight meetings of the Committee have been held, in 

 London. Professors Love and Nicholson, Dr. Doodson and Mr. Whitwell, 

 finding themselves unable to take an active part in the work of the 

 Committee, did not accept reappointment. 



The grant of £93 has been expended as follows : 



£ 5. d. 



Calculations connected with Emden's equation 



,, „ ,, Legendre functions 



Preparation of copy of tables of Bessel functions 

 Editorial and secretarial expenses 



Unexpended balance .... 



12 o o 



38 15 o 



21 10 o 



18 8 2 



2610 



Volwne I. — This volume of Mathematical Tables, which was in the 

 press at the date of the last meeting of the Association, was published in 

 November 1931, and is now on sale by the Association for 10s. a copy. One 

 hundred copies were bound, and the demand for the volume has been 

 steady. It was necessary to have a second hundred bound in March of 

 this year. 



Volume II. — This volume contains solutions of Emden's equation. The 

 supervision of the calculations, the preparation of printer's copy and the 

 work of seeing the volume through the press have been done by Mr. D. H. 

 Sadler, to whom the Committee expresses its gratitude. The cost of 

 printing this volume has been borne by the International Astronomical 

 Union. The price is 7s. 6d. 



Cunninsham Bequest. — {a) The preparation of a table of reduced ideals 

 and primitive units in real quadratic fields has been put in hand. Dr. E. L. 

 Ince has undertaken the calculations. 



(6) The Council has undertaken for Prof. L. E. Dickson, of Chicago, 

 the publication and printing in England of his tables of the minimum 

 decompositions of the numbers 1-300,000 into fifth powers. 



Bessel functions . — A sub-committee (Drs. J. Henderson and J. O. Irwin) 

 was formed to draw up a report on the tables of Bessel functions which have 

 appeared in the reports, with a view to the possibility of their publication in 

 one volume. Interim reports dealing with the more important of these 

 tables have been drafted for consideration by the Committee. In many 

 cases the tables will require to be extended and prepared for interpolation. 

 Work on the preparation of a few of these tables has been carried out. 



Legendre functions. — At the request of Prof. H. R. Hasse, the Com- 

 mittee has prepared 7-figure tables of the Legendre functions P,, {x) up to 

 n = 12 for a; = i •00(001)600 and up to m = 6 for x = 6-o(o- i)ii o. 

 These tables are required in problems in quantum mechanics. They have 

 been supplemented by values up to « = 9 for .v = o 00(0- 01)1 • 00, the 

 values up to « = 7 being taken from the Committee's report for 1879. It 



