354 



Prof. A. Anderson on the Resistance and 



Substituting in the former equations the values of y x , ?/ 2 , • 

 found from the latter, we get the system 



r-n s=n TV/I" IVr 



=]Wfp 2 2 2 



n s = n MoM 



2r^ y± rs 



If we denote 



we set 



M„JVL 



R r 



E _ E^i 



^ 



2 "t" 2j X\ r X r 

 P r=l 



_R 2 # 2 , % n v ,„ 



= " g - + 2 ±2^ 



P ,=1 



Hence 

 where 



_ EQ ! _ EQ 2 _ EQ r 



A = 



^11+ ~!> ^12? P)3? • • • Pl» 

 P 21 , P 2 2+ —27 ^23? • • • -t2n 

 ^31? t*32^ -P33 + ~^> •••■Pfti 



-t»l> ^«2j -L 



«3;> 



P + — 



" £> 2 



and Qr is the result of equating to unity the terms in the rth 

 row or rth. column of this determinant. 

 It follows, then, immediately, that 



EUi _ EU 2 _ EIL- 



pA > '■■■» 



