E. Y. Thomson, J. Bell and K. Pearson 
55 
We have next to consider the correlation between an nth niidparent and the 
actual offspring. Let us represent it by p^n. Then 
Ron =22 {'>mi + Ton') 
if Vn be again the mean correlation value of the ancestors of the two sexes in the 
nth degree and the offspring. 
We have now to evaluate the determinant A and the minor An, obtained by 
cutting out its first row and column. Taking n generations of inbreeding : 
1> Pol 
P02, pn, 
••• Pmi 
Roi, 1, 
Pu, Rl3, 
■■■ Rm 
P02> Pl2> 
1, P., 
... R2n 
Pm, Rm 
Rm, Rn-i, 
... 1 
1, 
V«/7 /3, 
... \/a/7yS»- 
Va/7, 
1, 
1 
7' 
7 
... i^." 
7 
1 
7' 
1, 
1 
7' 
... 1^." 
7 
7 
'-0'-'. 
7 
1 
1 
1 ^ 
017 ' 
7' 7' 
7 ' 
7 
1 
1. 
7 
0 
7' 
7 
1, 
7 
1 
... ^"I^ 
7' 
7 
^ ^ ^ 
, ... 1 
7 
7 ' 7 
7 
/3"-', /s»-^ /s»-3, ... ^ 
