ÖFVERSIGT AF K. VETBNSK.-AKAD. FÖRHANDLINGAR 1 901, N:0 9. 697 



i'(?,J - r (g„J > t (a) - na) > t (,„^^ J - r (^e,,J 

 and hence from (21') it follows that 



From (42) it follows that M{a) increases discontinously in 

 the same time as j a | continously increases from 



I « I < I ?^, I to I « I > I ?«! I , 



and for the rest, as a consequence from (37) and the preceed- 

 ing, with limits for M(a) of 



M(0) = —' and M(c<.) = '!h., 

 m m 



Thus particularly is 



M(a,)-^M-^M{a2), (45) 



when 



I «1 I > 1 > I «2 1 • (45') 



It is therefore possible to obtain limits for Jf, when it 

 succeeds to determine M(a^) and M(a^), for instance by (35). 

 Assuming 



I ?a;i_ 1 I > I « I > I ?a;i| > I aoj > I Qo^^, I 



the relation (43) gives 



2 '1 ~ ^1 +(^2 + • • • +^l — 'i-)~^l 



and hence by (42) 



/'(^^ ) _ /"(^^ ) = [^'(^i) — ^"(^2)] + [^'(«2) — ^"(« 2)] 



and further from (21') 



if(g,,)^^("-) + ^W. (46) 



For the rest we see that the relation 



M(a) = 3/(a.) + Mia,:, ^^^^ 



