The general Characteristics of the frequencyfnnction of stellar movements 61 



(74) 



(74* 



<n os ) = J= 1/T5^ö? 



e(,V 31 ) = -L 1/15^7^7+ 81.V 20 «JV 

 W = -7= K8^7^7 + 68iV 2n ^ V + 20JV^ 

 <N n ) = -L V r l5jy i0 ^ 01 «+ 8UV^u 2 

 W = ^ 1/"967V- 

 By the equations (16) we now have immediately 



1 



(75) 



s(B 12 ) = ^= l/3^ 20 Av 2 2 + 12iV 02 N n * 



z(B 0S ) = ^= l/Ï5>?~ 8 



by which the mean errors of the third characteristics of a nearly normal correlation 

 surface are given. For the ß-characteristics we have 



(76) *Y 



£(ßai) = iTl 1 + 12? " 2 = £(ßl2) ' 



As the skewness in x is S x = 3ß so we have the well known formula 



e /<n Vjjjj 1.936492 



