314 CARL W. BOCK 



enter into the problem to which the coefficients of the series 

 must conform. 



Subtract the number 264 from the number 337 and a number 73 

 obtains. But this number is identical with the coefficient of the 

 group 73 which follows the 264 group. From this it appears, 

 that while observer S follows the 47 group by the 337 in record 3, 

 he also follows this group by the 337 group in record 10 with 

 this difference only, that in 10 he beats the 337 group in two 

 parts, while in 3 he beats the 264 and 73 groups in strict 

 succession. 



Records 3 and 4, observer S, give the following series: 



18 47 264 73 126 237 

 18 141 174 17 161 103 



The following equations indicate some of the relations here 

 found : 



(1) 141 = 47 + 47 + 47 (3) 174 = 73 + 47 + 18 + 18+18 



(2) 264 = 174 + 73 + 17 (4) 161 = 126 +17+18 



The complex may therefore be written in the convenient form: 



18* 47* 264* 73* 126* 



174 + 17 + 73 



47 + 73 + 18 + 18 + 18 

 18* 141* 174* 17* 161* 



47 + 47 + 47 47 + 73 + 18 + 18 + 18 17 + 128 + 18 



73 + 17 + 17 + 18 + 18 + 18 



The following series are taken from the Records of Ob. T. : 



