006 
PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
Thus if we put 
(511-4) 
— (i-o)e 
8) _ B,.(6)e 
Pri ( ) TRO (1a) 6, (i-¢) 
then 
(511-5) p(0)_ bo (i=P)20(0)4 +s 0g Dy (1-0) 9s (O)s 
b (2-0) 
LC 
(511-6) (0) 9e Poli-P) Bo (0)s ov wy Oy ($20) By (0). 
w, b, (3-P)+. + Ww, _, ¢, (1-0) + ese 
The function (8) thus appears as a weighted average of the 
function ¢,_,(0) with weights v,_, ¢,_, 
We have 
(511-7) 
: I 
Mall ea 
iL 
Thus providing (¢-p) is small and # not too large, the 
weighting of the functions ¢, , (8) will differ little from the 
weighting of the functions ¢, , (0). 
"111 Allais - pag. 210