150 



2^~ 1 



i ^v' 



^ -^ 2 2 _i 



Constructing now, according to Weierstrass, an integral function 

 f{X), with tlie assigned zeros 



X=V^2, ;.=r(l/2j% ). = {\/2)'... 

 we obtain 



•^^ ^ = eGO) n I 



/(O) „^oV (l/2)«+i 



1 

 or, assuming /(0)=rl, G{X) = 0, -—_=: r 



Thus 



" f{X) ~ l — rX '^ 1 — r ^?. "^ I— r'';. ~^ ' * ' 

 and expanding the fractions of the second member 



fV-) ^ p _^, ^ 'r ^r-'^ '>' J- 



/P-) 1^11 



Comparing this with 



D\).) 



zrz a, -4- a. ). A- a. ). -\- . . . 



we see that f{X) = D {).), for ƒ (0) = D (0) = 1 and 

 ^ ., = 1 1— 7'"+i M:! 



^ 2 



Mathematics. — "77«<? ^Aé-or// of Bravais {cm errors in space) 

 for poll/dimensional space, with applications to correlation." 

 (Continuation). By Prof. M. J. van Uven. (Communicated by 

 Prof. J. C. Kapteyn.) ') 



(Communicated in the meeting of April 24, 1914). 



In the theory of correlation the mean values of the products .i).rjt 

 aie to be considered; denoting these by i]jjc, we have 



1) The list of authors wlio have treated upon tlie same subject, may bo supple, 

 meilied witli -. Ch. Ivi. Schols. Theorie des erreurs dans le plan et I'espace. Annates 

 de I'Ecole Polylechni.iue de Delft, t il (188Ü) p. 123. 



