138 MAXIMUM AND MINIMUM PROPERTIES. 



f . . . f (AM e A " - /" + 1) d Pl . . . dq n > 0. (454) 

 J J 



or 



Since the parenthesis in this expression represents a positive 

 value, except when it vanishes for AT; = 0, the integral will 

 be positive unless AT? vanishes everywhere within the limits, 

 which would make the difference of the two distributions 

 vanish. The theorem is therefore proved. 



