Researches into the theory of probability. 41 



In many cased the maximum ordinate of the two components may be considered 

 as l^nown with a good approximation. Calling these ordinates and we thus get 

 the relations 



(53) ?/j == e~ ^\ = e ~ 



by means of wliich and /ù may be ehminated from tlie equations of condition. It 

 is too possible in this maimer to attack the problem somewhat more generally. We 

 may write 



F{.,) =/,{,■) +Mx), 



where 



/,(.:.) ==7?,"-K(.r) + J?;' A^p,, 



or we can make use of another scale than unity, one for each function (say oj^ 

 and üjg). 



Sliould it be allowable to put B./ — B,^' = 0 (or to^ = co^ = 1), we get the 

 relations 



These equations indeed are of transcendental nature, but may easily be dis- 

 cussed with the help of graphical methods. 



Lands Univ:.s Ârsbiuift. N. P. Af.l. 2. Bd 1. 



6 



