4 1 



dn j = E e jm dx m - — db jj n j 

 m=1 jj 



where £j m are the matrix elements of E~1 , and since B is a diagonal matrix, 

 B - '' is a diagonal matrix and has as its matrix elements 1/bjj. From this 

 equation the following partial derivatives can be obtained: 



8nj 



*r n = £jra 



and 



3n j n j 



9b jj b JJ 



Substitution of these relationships into the general variance equation (12) 

 yields 



4 /nj \2 



(6nj)2 = £ (e . m )2 (6Xm) 2 + _L (6 bjj )2 

 m=1 \ b JJ/ 



The normalized form of this equation becomes 



where 



'6 nj \2 , M /6x m \2 / tolj \2 



^ 5a ij\ 2 / 5b jj\ 2 



V a iJ / \ b JJ 



and 



'6x m \2 /5P \2 /6P r \2 / 6k \ 2 



+ 



p ) \p r / Vk / 



