REDUCTION OF ERROR BY LINEAR COMPOUNDING. 
237 
Hence we find that 
I 2 m, 2/ + 1) h = 0 ( 2 ^ 1 , 2h + 1J 
/ \ / Ui {2C 2f} h = l , u {2t, 2h} (r. 2/i] 
\Prhk = (-ypn Z (2t + i) rT~-^y ~ r] 2 (-) h 1 /iT~ 9 1 P . iT ’ 
[_2 m, i 2j+l)h = o \2 m i 2A+1J 
t = f 
and therefore 
(**po)» = s' (2«+l) ri {2 - ^ } - 
t = f Lfm, 2/+ 1) (£m, 2(/ + lJ 
0 . 
where 
0 = F{—t+g, g+t+%,%-, 1, -%m+g + 1, ^m+gr+l} 
(|m ; 2gr + l] [|m, 2£+l) 
(^n, 2«+l] [^m, 2gr + l)’ 
This expression for (^p 0 ) 2 /t will be found to be equal to X 3/ , 2? as given by (132) of the 
present paper, so that the formula in “ Fitting ” agrees with (142). 
PRESENTED 
2 5 OCT. 1920 
