.990 Dr. Gr. Breit on the Effective Capacity of 



and hence by means of (36) through -r. The trans- 

 formation is effected by means of the identity 



& (4*- I)(4»i +■**-*) 



, V PlP*2 /„,". 1 1 \ 



" A 45 2 ~l V 4 5l + 45 2 -2 4*, — l/' 

 which gives 



K* .P*! 7**2 _ 1 ^ P»l P«2 



«^(M-l)(4 Sl + 4 S2 -2) • *(4«,-l)(44-l) 



-»v*i4«-ir 



or substituting (36), 



s P*P*> _i ( ax/ 2 iV 



s f 52 (4 5l -^l)(4 5l + 4 52 -2)- 2 V A V; 



Similarly in (35) the substitution of (36) gives 



C c "=^^V2~l) = 0-.0532«bJ. • • • (38) 



oo 45 Y) 



Further, the summation 2) — r^y? rr occurring 



' i (4s— 1) (45 — 2) & 



; in (31) is equal to 



y V s .9 y P s 



^4 5 _l + z f (4 s -l)(4 5 -2)' 



• or, using (36), 



• ±sp s _ a\/2 g ^ 



f (4j-1)(4*-2) " A J -" t "^f(45-l)(4 5 -2). 



A calculation of the last series shows it to be 0*0871. 

 "This value together with (37 a) gives 



2-1 t^f ^ = 0-3719. . . . (39) 



3 (45— 1) (45— 2) v ' 



Finally the quantity j ( 1 + X . _ -, ) in (31) must 



i-be calculated. The series in parentheses is rapidly con- 

 vergent, and a calculation gives for it 1*086, so that 



2 



(i+f^H' 853 - • • • < 4o > 



