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)

4 
374 
A TENTH MEMOIR ON QUANTICS. 
Table No. 98 {continued). 
N divided and segregate is 
N = a‘{ 
n + 1 
cj + 4 
ap — Q 
a 2 bj — 4 
cdo + 1 
cn — 6 
,,dg + 4 
a 2 bn — 1 
ab* +8 
acp + 2 
„b 2 h- 12 
a°c 2 n + 1 
,,bcg+ 4 
„cm — 8 
a°c 2 j — 4 
6. 4 
7. 7 
8.10 
9 . 13 
10.16 
0 divided and segregate is 
0 = a 10 ( 
0+1 
b 2 g+ 1 
bm + 6 
df -6 
^ - 1 
y) 1 
7.1 8.4 
P divided and (as to first three coefficients) segregate is 
P = a s ( 
5*. yf 
the last three coefficients have not been reduced to the segregate form. 
[693 
p + 1 
« bj + 8 
a 2 o + 7 
a 2 bm + 8 
aWk - 3 
a?b 2 j + 2 
„dg - 5 
abn — 2 
» dj + 3 
„bp - 3 
,,bdg - 2 
a°b* -14 
a°cp — 14 
a 6 3 c£ + 9 
„ero + 2 
a 2 bcm + 2 
„6% +15 
,,bcj +13 
a6 2 de + 3 
,, bek — 1 
„beg- 5 
„ bdh — 9 
\)dlj ”f* 3 
„ep - 1 
„ cm + 10 
„edg - 12 
00 
+ 
a b 3 cd + 24 
,,d s -81 
„d 2 i -27 
,,bc 2 j - 6 
aj°b 4 c — 5 
,, deh — 3 
,, bedh — 33 
„ b 2 ch - 8 
,,dfg - 8 
„ c 2 dg +15 
,,b 2 e 2 - 1 
a.°6 3 ce — 7 
,,cd 3 —54 
,,bc 2 g- 1 
„6 2 cZ + 1 
„dfk - 9 
,, bed 2 — 9 
,, bc 2 k + 9 
a°b*c s + 8 
„ bel - 1 
,, bedi — 9 
„ b 2 c 2 h -11 
,,6/fe+ 1 
„ bceh + 10 
,,bc 3 g + 3 
,, c 2 m — 12 
„ c 2 eg - 3 
„ bc 2 d 2 -18 
,, dei + 9 
,,c 2 p + 9 
„befk - 1 
„ e 2 h + 1 
„ cd 2 e +18 
„ c 3 m — 6 
„fP ~ 2 
„ cfm + 4 
» C /P + 2 
„efk + 3 
7.5 
8.8 
9 . 11 
10.14 
11 .17 
12. 20 
ifo y)\
	        
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