302 CARL W. BOCK 



server R at all, except that he does not seem to beat groups of 

 type a and their multiples as frequently as R. This difference 

 however is very significant as will appear hereafter, and it is 

 precisely such differences which make generalizations or group 

 classifications on the basis of a single observer difficult. 



Consider the first four groups of the above series of groups, 

 namely: 



33, 27, 74, 87, 

 i 



and the corresponding numerical equation: 



(1) 33 + 27 + 27 = 87. 

 and the next four groups of this series, 



83, 45, 128, 23, 

 and the corresponding numerical equation: 



(2) 83 + 45 = 128. 

 and the following seven groups: 



258, 27, 256, 39, 54, 240, 15, 

 and the corresponding numerical equations: 



(3) (9 X 27) + 15 = 258 



(4) 39 + 54 +39 + 54 + 54 = 240 



(5) 27 + 27 = 54 



(6) 39+15 = 54 



(7) (16 X 15) = 240 



and finally the series: 



176, 124, 58, 22, 154, 57, 20, 248, 

 and the corresponding numerical equations: 



(8) (8 X 22) = 176 



(9) 58 + 22 + 22 + 22 = 124 



(10) 57 + 20 + 57 + 20 = 154 



(11) (7 X 22) = 154 



(12) 124 + 124 = 248 



(13) 57 + 57 + 57 + 57 + 20 = 248 



