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)

IIV №1 \m\n 
[704 
704] 
A MEMOIR ON THE SINGLE AND DOUBLE THETA-FUNCTIONS 
87. Second set, 64 equations. 
Suffixes. 
1 - 
0 
a 10 
$ ^M + M 
ip 
o o 
o o 
T 
= 
EE' 
+ GG' 
+ FF' + IIH' 
0 
5- 
0 
10 
10 
00 
00 
= 
EE' 
+ GG' 
+ FF' + HH' 
1 
9- 
0 
10 
01 
00 
00 
= 
EE' 
+ GG' 
+ FF' + HH' 
2 
13- 
0 
10 
11 
00 
00 
= 
EE' 
+ GG' 
+ FF' + HH' 
3 
1 - 
4 
a 10 
QQ U + U 
„00 
IQ U - U 
= - 
iEE' 
+ iGG' 
- iFF' + iHIF 
1 
5- 
4 
10 
10 
00 
10 
= 
iEE' 
— iGG' 
+ iFF' -iHIF 
0 
9- 
4 
10 
01 
00 
10 
= - 
iEE' 
+ iGG' 
- iFF' + iHH' 
3 
13- 
4 
10 
11 
00 
10 
= 
iEE' 
-iGG' 
+ iFF' - iHH' 
2 
1 - 
8 
a 10 
QQ U + U 
,00 
3 U — U 
= 
EE' 
+ GG' 
- FF' - HH' 
2 
5- 
8 
10 
10 
00 
01 
= 
EE' 
+ GG' 
- FF' - IIH' 
3 
9- 
8 
10 
01 
00 
01 
= 
EE' 
+ GG' 
- FF' - HH' 
0 
13- 
8 
10 
11 
00 
01 
= 
EE 
+ GG' 
- FF' - IIH' 
1 
1- 
12 
*10 . 
5 00 « + « 
„ 00 
J ^ M - M 
= - 
iEE' 
+ iGG' 
+ iFF' -iHH' 
3 
5- 
12 
10 
10 
00 
11 
= 
iEE' 
-iGG' 
-iFF' +iHH' 
2 
9- 
12 
10 
01 
00 
11 
=- 
iEE' 
+ iGG' 
+ iFF' -iHIF 
1 
13- 
12 
10 
11 
00 
11 
= 
iEE' 
-iGG' 
-iFF' -viHIF 
0
	        
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