Al. a. Tchouproff 
191 
whence : 
h 
2 c'l [<-;;^""^"^ (- ly u'^:;:^'") + i\^->..H-.(i.)[i + (- 1)1 =0... (17). 
(2) Noting that 
2, (iV) 
1 = 2 
= /A2r+s+ 2 C Var+s-i l)V;,(JV-l) +^2r(^- l)Vs.(Ar-l) 
+ S C 
2, (iV-1) 
,=1 ' /i=l j=l 
/(=1 Jl=l 
we find 
2. (AM 2 
2, (AO ^2, (A'-l) 
^s:^ T-TCi.i) , ttC'.s) 
' Ai2r+.s-2ft-j ^2 (iV-l) + - ^2/-27t f^,, (A^-1) ' 
1 .7 = 1 ' h=l 
(h) 
(N-1) 
+ 2 2 6'! Gi 
h 
and hence 
^ i = 0 /=1 7t = l /=1 
h=l /=1 ' /t = l j=l /=1 
Putting here (see Chapter I (14) and Chapter II (10)) 
; 2 (i\r_/)i^^.^^_^.,= yi.Ent.(|)-n 
Ent.(^)-i+l 
Ul8). 
/=! 2'(^-/)",ri i+1 
and noting that 
2, (AO *^ 2, (AT)' 
u 
2, (AT) 
f 2 G'^f,,^,.,,{N-l f 
7i = 2 
Ent. 
* = 2j 
