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In-Depth Information
()
⎡
r
⎤
−
1
1
(
)
2
2
2
b
k
,
b
k
L
,
b
k
R
=
b
k
x
ji
+
x
ji
x
ji
M
+
x
ji
M
+
θ
⎢
⎣
⎥
⎦
~
r
r
~
2
3
12
j
a
X
r
r
k
()
r
⎡
⎤
1
−
1
1
2
2
k
R
ji
r
ji
ji
M
ji
M
+
b
x
+
x
x
+
x
,
⎢
⎣
⎥
⎦
r
6
6
20
r
r
where
k
=
1
m
;
j
=
1
m
;
i
=
1
n
;
⎨
⎧
k
k
L
L
,
q
=
1
1
b
−
b
≥
0
⎩
⎨
⎧
q
=
0
M
=
;
q
2
b
k
+
b
k
R
<
R
,
q
=
2
⎩
⎧
k
k
L
L
,
r
=
1
2
b
−
b
≥
0
⎩
⎨
⎧
r
=
0
M
=
.
⎨
r
1
b
k
+
b
k
R
<
R
,
r
=
2
⎩
According to the proposition 6.6
()
()
⎡
q
q
⎤
−
1
−
1
1
(
)
1
k
k
L
k
R
k
ji
q
pi
q
ji
q
pi
M
pi
q
ji
M
ji
M
pi
M
θ
b
,
b
,
b
=
b
x
x
+
x
x
+
x
x
+
x
x
−
⎢
⎣
⎥
⎦
~
~
~
i
j
i
p
a
X
X
6
6
12
q
q
q
q
k
()
()
⎡
q
q
⎤
1
−
1
−
1
1
k
L
ji
q
pi
q
ji
q
pi
M
pi
q
ji
M
ji
M
pi
M
−
b
x
x
+
x
x
+
x
x
+
x
x
;
⎢
⎣
⎥
⎦
6
12
12
20
q
q
q
q
()
()
⎡
r
r
⎤
−
1
−
1
1
(
)
2
k
k
L
k
R
k
ji
r
pi
ji
pi
M
pi
r
ji
M
ji
M
pi
M
θ
b
,
b
,
b
=
b
x
x
+
x
x
+
x
x
+
x
x
+
⎢
⎣
⎥
⎦
~
~
~
i
j
i
p
r
r
a
X
X
6
6
12
r
r
r
r
k
()
()
⎡
r
r
⎤
1
−
1
−
1
1
+
b
k
R
x
ji
x
pi
r
+
x
ji
x
pi
M
+
x
pi
x
ji
M
+
x
ji
M
x
pi
M
,
⎢
⎣
⎥
⎦
r
r
r
6
12
12
20
r
r
r
r
where
(
)
m
m
+
1
k
=
m
+
1
;
p
=
1
m
−
1
j
=
2
m
,
p
≠
j
,
p
<
j
,
i
=
2
n
;
2
⎧
k
k
L
L
,
q
=
1
1
b
−
b
≥
0
⎩
⎨
⎧
q
=
0
M
=
;
⎨
q
2
b
k
+
b
k
R
<
R
,
q
=
2
⎩
⎧
2
b
k
−
b
k
L
≥
0
L
,
r
=
1
⎩
⎨
⎧
r
=
0
M
=
.
⎨
r
k
k
R
R
,
r
=
2
1
b
+
b
<
⎩
[
]
1
2
θ
,
θ
Let us determine the weighed segments
,
for model output data
i
=
1
n
Y
Y
i
i
