KUNGL. SV. VET. AKADEMIENS HANDLINGAR. BAND 58. N:0 3- 19 



\ZA 3n = —a 30 ; [2.4,, = — o 2I ; \2A 12 = —a t2 ; [34 03 = — a 03 ; \iA iu = a w ; \3A ?n =a 3l ; \2\2A 22 = a 22 ; 

 [3.4 13 = o 13 ; [4^ 04 = a 04 ; |5^ 50 = — o 50 ; j4^ 41 = — a 41 ; |3[2^ 32 — — er 32 ; |2(3^ 2:t == — a 23 ; [4^ = — a 14 ; 

 |5.4 05 = — » 05 ; [64 99 ==«*» + 10 <ii ; !£^ 5 , = a,, + 10a 3d a 21 ; |4[2 JL, 2 = a 42 + 4a 30 a 13 + 6a=,; [3|3^4 S3 = 

 = «33 + a 30 «o3 +9a 3l a i2 ; \2\iA 2 . =a 2l -t- 4a J3 a 31 + 6a'j„; |54 I3 = a 15 + 10 a 03 a I2 ; |6.-1 08 = a 06 + 10a s 08 . 

 As novv the p"-characteristics are defined by 



we find that, putting 



we ha ve 



for p + q = 3 ffp S = /pgj^ 

 » p + g = 4 /tf pg = y pq - 



V + ? — ° /V? — 7pg ,/- 



1 11-., 



?J > + g- = (i ( > M = /',o- s + -g 7 » ' 



1 , 1- 



.>.-.. = 7»i-^ + t;' 3 o ;' 2 i. 



^2 = y«^ + -(j' 3 oy 1 2 + 2^i)' 

 11 



^33 — 733 .0 + „ '/'30 7<n + 721 7n) > 



o o 



,-,, 724^8 +7(703/21 + g yli} 1 



P 1 5 7l 5 -g + - 7<>3 7l2 > 



, _. 1,11-, 



Po a 7oa s "* o o^ 03 ' 



In the following we shall now have to consider two different cases. The quan- 

 tities a pq are the sams of the quantities af^^lf. For them all to be of the order 



of unity aj? +q would generally have to be of the order , which would not prevent 



s 



some few of the quantities from being of a larger order. Then we should find that 

 the coefficients 



