( 712 ) 



1 — «„ 



Owing to this we get : 



loff [I — X — ^1 i^o'V^ • • •] 



G-^3' 



(7? 7' \ 

 1 -—a; I 



.« + V,{2 + «„),.^ 



or 



for TT, 



T.-T = 





+ V.(i + V.«o-^).^]. 



(5&) 



which approximate expression will now at least hold for values of 

 X < 0,26. 



dT 

 6. A general expression for — in the case in question may be 



dx 



most conveniently calculated from (4). (cf. §4). Then we get: 



d loq c„ 

 dT da; 



where 



dtV 



d log C(, Ö log c„ Ö log c„ da 

 dx dx da dx 



1 2— .'6- 



da 



(1 — A-)(l+«(l- *•)) {l—a){\-ia(l—x))dx 



da 

 But now — is different. Prom (6") we find viz.: 



dx 



2 da 1 da 1 11 da) 



1 — « + (l-.r)— =0, 



a dx 1 — adx 1 — x l + a(l — .c) ( tiicj 



yielding : 



da «(1 — «) 



dx (1— A')(2— «A-)' 



so no longer negative, but positive as it should be (see above). After 



substitution we get : 



dlogc, 1 a(2—x) _ 



dx 



(1_^)(1-^«(1_.^:)) (l-x){2-ax){l+a{l-x)) 



(l-A-)(2-««)' 



