PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 
28 
APPENDIX 
A 1. NOTATIONS 
Instantaneous discount rate . . . . 
Exponential growth rate of labor force 
P= 
à 
At time t Integrated 
absolute per worker over time 
(per worker) 
Consumption flow 
Capital stock . 
Labor force . 
Production function . . . 
Utility . . . 
A 
7 
L, 
F(Z, L) f(2) 
u(x) U,V, W 
dz 
Derivatives with respect to time are denoted by dots, #,= = 
. . d , d 
other derivatives by dashes, f'(2)= , uw (x)= = 
a 
generally denotes optimal paths and their asymptotic levels. 
denotes equality by definition. 
"41 Koopmans - pag. 36