292 



PROFESSOR K. PEARSON AND MR. L. N. G. FILON 



total range given is thus both in magnitude and position extremely satisfactory, and 

 supposing only the frequency, not the actually measured quantity, i.e., number of 

 glands, to be known, the theory would have given a very accurate determination of the 

 limits of possibility, especially the start of possibility with the whole number of glands. 



In order to work out easily the determinant, A, and its minors, we found it 

 desirable to bring out certain factors and reduce the formulae given above to slightly 

 different forme, which, as they are likely to be of general service, are here repeated. 



Let a = ?n,e, (TO, + ^2)^3. ft = "Ms ( m i + ^2) e s> where e,, c 2 , e 3 have the 

 values given on p. 284, then we found 



A = 



*(!, +m., 



?,-i)(h-i) 



nil + i n -> 0, 



(TO, 1), m,a + m 



TO,(TO, - 1), m 2 & 



m, + 1, - 1, 



1, 0, 



TO,a, (TO, + w- 2) 



Zr///;*| (?.> 1 ) 



TO, a + ??i,p, m,a, 1 



(TO, 1), TO, (TO, 1), (TO, + 1) (TO, -f TO, + 1) 



A. = 



n*(mi + ffl 3 + 1) 

 i l w5(w, - I)(w 2 1) 



w, 



1), 



TO, + 1 , 



0, 



TO, 2TO 2 -|- 1 



2 (TO, + TO, + ] ) 



A M = 



, + w(. a +1) 



wll + m.,, _ i, o 



(TO, + 1) (TO, 1 ), TO? (e, e 3 ), m, < 2m l + 1 

 ^ + 1 , 0, 2 (TO, + w, + 1) 



_ M 3 (m t + m 2 + 1) 



;,! + ? 2 +1) 



i, 2), 0, (m, I)(TO, 1) 



0, 



^ 1) 



m,m,e 3 , 







0, TOoyS, - 1 



(TO, + m,), (TO, + 1) (TO, 1), m, H 



+ ???., + 1) 



0, 

 -* > 

 (wi, -{- m,), 







(TO, 1), 



1 







'!+ ' 



