266 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
than that given by the combination #=1, w=0 which corres- 
ponds to the exponential model. 
Use of the Tavlor Series Exbansions 
538. It is interesting to confront the values which have just 
been calculated, and those which would be derived using the 
imited expansions obtained in the main body of the text (!) 
538-1) 
538-2) 
% « © [TA @, (i-p)] 
R 2 IV, 2 
R =) P) 
taking the exact value 
538-3) 
1-w+w (+1) 
A_ 2 
MT-m+nw)? 
from (538-1) we deduce 
(538-4) 
© (ip) , TVI-4AT (8-6) 
> 
(!) Relation (240-10) and (240-13). 
11] Allais - pag. 270