ÖPVERSIGT AF K. VETENSK.-AKAD. FÖRHANDLINGAR 1901, N:0 9. 705 



Nevertheless the relation may claini sonie interest, because 

 of its simplicity and perliaps the alone existing of this kind. 

 For the rest this relation may be of use as a formula of control 

 for a calculated M{d). 



Hitherto we have assumed the constants (3) positive and 

 as a consequence thereof their convergents (4). 



We now assume that these constants are capable of positive 

 as weil as negative values, and also that the unequalities (2) 

 yet sabsist. 



Multiplying both members of (1) by é-^^ we get 



n 



Now we assume this h to be positive and sufficiently great 

 in order to ensure that all the (Ji + ?/,.) are positive. Thus the 

 preceding theories become applicable to the equation (64). 



If we call Gh the G corresponding to the right member of 

 (64), this can be determined according to (21'), and the general- 

 ized G becomes 



G=Gn—h. 



When M is known it is easy to determine e,.. 

 The equation (1) can be written in the form 



rj(Oe'"^.w ^R^åJ^^' + inX^AJ ^' (65') 



and hence 



e^{t) == arctg V^' .^ + ^^(^) ' i^^) 



r = l 



where Jc(t) is some positive or negative integer or zero, depend- 

 ing on t. 



The first term in the right member of (65) has the period 

 27rm, and thus it follows 



