ON CALCULATION OF MATHEMATICAL TABLES. 



275 



The tables were completed to nine places by interpolating to tenths of a unit of the 

 argument, first differences being calculated from the known values of J Ax) and 



J_ i(a;). Lommel's tables of S(x) and C{x) appear in various collections of mathematical 



tables, although the last digits are unreliable in a considerable number of the entries. 

 The difficulty in checking these results was due to the absence of adequate tables of 

 sines and cosines in radian measure. Tables of these functions to fifteen places of 

 decimals were published in the 1916, 1923 and 1924 Reports of the Committee. 



T 2 



