International Scholarly Research Notices / 2012 / Article / Tab 1 / Research Article
Green's Theorem for Sign Data Table 1 Twenty trials which compare the values of the indicated expressions for
𝑀
iterations per trial. The trials are divided into ten trials for two different noise amplitudes. Recall that
∑
𝑀
=
𝑗
. Let
𝑀
=
1
0
0
0
0
and
𝑞
=
0
.
0
0
0
1
.
∑
𝑀
𝑗
=
1
c
o
s
(
𝑗
𝑞
)
s
i
n
(
𝑗
𝑞
)
𝑎
∑
𝑀
𝑗
=
1
c
o
s
(
𝑗
𝑞
)
s
g
n
(
s
i
n
(
𝑗
𝑞
)
+
𝑋
𝑗
)
𝑎
=
1
3540.594404 3529.425407 (1)
↓
3569.469208 (2) 3460.5978 (3) 3540.394914 (4) 3542.955134 (5) 3644.993387 (6) 3441.978126 (7) 3510.495952 (8) 3544.098984 (9) 3645.64803 (10)
𝛽
=
0
.
5
6
4
4
7
%
,
V
a
r
(
𝑌
)
=
0
.
8
2
2
9
4
9
𝑎
=
2
3540.594404 3578.540737 (1)
↓
3468.32837 (2) 3063.26568 (3) 3629.793227 (4) 3562.692845 (5) 3605.376332 (6) 3284.005063 (7) 3375.67384 (8) 3356.467161 (9) 3500.608956 (10)
𝛽
=
1
.
7
3
1
1
5
4
%
,
V
a
r
(
𝑌
)
=
0
.
9
5
5
7
3
7