Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., late sadlerian professor of pure mathematics in the University of Cambridge (Vol. 10)

693] 
A TENTH MEMOIR ON QUANTICS. 
343 
Deg-order. 
1.5 
a 
Tab. Mem. 
13 2 
2.2 
b 
14 
„•6 
c 
15 
>> 
3.3 
d 
16 
5? 
„.5 
e 
17 
>> 
„.9 
f 
18 
)) 
4.0 
9 
19 
V 
„.4 
h 
20 
„•6 
i 
21 
» 
5.1 
j 
22 
?? 
„.3 
k 
23 
» 
„.7 
l 
24 
6.2 
m 
83 
8 
„•4 
n 
84 
7.1 
0 
90* 
9 
„ .5 
P 
91 
8.0 
<1 
25 
2 
[See also paper 143] 
„ .2 
r 
92 
9 
9.3 
4 
v 
11.1 
t 
94 
9 
12.0 
u 
29 
3 
13.1 
V 
95 
9 
18.0 
w 
29a 
5. 
Starting from the foregoing expression of the N.G.F. of the cjuintic, vve can, instead 
of each term u? x^, introduce a covariant or product of covariants of the proper deg-order 
0^ : the mode of doing this depends of course on the different admissible partitions 
of 6, /x, and it is for some of the terms very indeterminate: for instance, a 5 x 11 is ai, 
bf or ce. I found it possible to perform the whole process so as to satisfy a condition 
which will be presently referred to; and I found 
[* See vol. vii. of this collection, p. 348.] 
f See end of Memoir. The S of Table 93 has the value -96 (D, M) + 16B0-7GK, but it is better to 
use the simple value — (D, il/); and the S of the present Memoir has this value, say S— — {d, m).
	        
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