784 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 2

These relations allow ¢(i - p) to be expressed as a function
of y, and vy, which can be convenient in numerical applications.
Thus
(226-4)

b(E-p)=1~-( Ar

: 1-Y; T(i-p)
_ - = =1 ———
(226-5) ¢(i-p) % =

Eliminating ¢(¢ - p), we derive

(226-6)

I 1
vy =F

Naturally we find again the general relation (125-2) above.
It is further possible to deduce

(226-7)

C(t) %
R(t)  1-[i-p)Y,

Cl) 14
Ra(t) 1
and from (224-2), (225-1) and (226-4)

226-0)

(226-10)

TA
N

R -—
R TT I —vr

This last relation can be deduced from (110-2) and (110-9)
and has general validity (relation 123-7). The same observation
 can be made for (226-8) which results from (110-2) and
(110-9).

[IT] Allais - pag. 88