ON WAVE-LEXGTH TABLES OF THE SPECTRA OF THE ELEMENTS. 127 



Nickel — continued. 



Tables of Certain Mathematical Functions. — Interim Report of the Com- 

 mittee, consisting of Lord Rayleigh (Chairman), Lieut. -Colonel 

 Allan Cunningham, R.E. (Secretary), Lord Kelvin, Professor E. 

 Price, Dr. J. W. L. Glaisher, Professor A. G. Greenhill, Pro- 

 fessor W. M. Hicks, Major P. A. MacMahon, R.A., awcZ Professor 

 A. Lodge, appointed for calculating Tables of certain Mathematical 

 Functions, and, if necessary, for taking steps to carry out the 

 Calculations, and to puhlish the residts in an accessible form. 



The ' New Canon Arithmeticus ' is a table quite similar to Jacobi's 

 ' Canon Arithmeticus,' except that it is calculated for the base 2 through- 

 out, -whilst Jacobi's tables are for various bases. 



The new table contains the solution of the congruence 2^=R (mod. j^) 

 for all primes (/>)<1000, and also of 2^=R (mod. y) for all powei's of 

 primes, p"- <1000. 



The left-hand table gives the least Residues (R) to Argument x ; this 

 table has been computed throughout by two computers independently, 

 and the two copies have been checked throughout by both computers ; 

 thus this table is complete. 



The right-hand table, giving the values of x (the exponent) to 

 Argument R is merely a re-arrangement of the former ; one copy is 

 complete, the other copy is about half done, and checked in part. 



The whole of the grant of '2bl. for the year 1896-97 has been spent. 

 The Committee ask for reappointment without further grant, the 

 Secretary (Lieut. -Colonel Allan Cunningham, R.E.) undertaking to com- 

 plete the second copy, and the checking of both copies (without asking 

 for further grant) if the reappointment of the Committee be sanctioned. 



