E. G. Brown. — Standard Functions in Interpolation. 423 



Omitting the constant and the first-difference terms, which 

 are the same in all methods, the data are : — 



- 2-647,2 s. 



The computation by Bessel's method gives : — 



A 2 ... -1(23-64) - 2-626,7 s. 



A 3 ... (-0-00617) (- 4-08) = +0-025,2 



A 4 ... (+0-02057) (- 2-22) = -0-045,7 



A 5 ... (+0-00069) (-0-06) 0-000,0 



Sum ... - 2-647,2 s. 



The values of Bessel's coefficients can be got from tables. 



Now, for the standard method, filling in the tables, we 



V. 



-0-00 



Sum - 12-028 (P) - 0-34 (C) + 0-02 (IV.) 



Taking the values of P, C, and IV. from tables, as in the 

 case of Bessel coefficients, or computing thus — 



foraf=f; P = f-(f) 2 =+f; C = + f (1 - f) = - * ; 

 (IV.) = -*(l-#) = +t 



we compute the terms : — 



(+ -I) (- 12-028) = - 2-672,9 s. 

 (-^)(-0-34) = +0-025,2 

 (+>fi) (+0-02) = +0-000,5 



Sum ... - 2-647,2 s. 



