I
n
t
e
r
n
a
t
io
n
a
l
J
o
u
r
n
a
l
o
f
E
le
c
t
r
ic
a
l
a
n
d
Co
m
p
u
t
e
r
E
n
g
in
e
e
r
in
g
(
I
J
E
CE
)
Vo
l.
6
,
No
.
3
,
J
u
n
e
2
0
1
6
,
p
p
.
1
3
7
1
~
1
3
7
4
I
S
S
N:
2
0
8
8
-
8
7
0
8
,
DOI
:
1
0
.
1
1
5
9
1
/
i
j
e
c
e
.
v
6
i
3
.
1
0
7
4
2
1
3
7
1
J
o
u
r
n
a
l
h
o
m
e
p
a
g
e
:
h
ttp
:
//ia
e
s
jo
u
r
n
a
l.
c
o
m/o
n
lin
e
/in
d
e
x
.
p
h
p
/I
J
E
C
E
St
udy
o
f
T
h
e
T
ril
inea
r
Neig
hbo
rho
o
d
M
o
del
o
f
P
ro
c
es
s
o
f
F
o
r
m
a
t
io
n
o
f
T
e
m
pe
ra
t
ure
’
s
Co
ili
ng
H
o
t
-
Ro
lled
S
t
r
ip
A
.
M
.
S
h
m
y
r
in
,
A
.
G
.
Yu
r
t
s
e
v
,
A.
M
.
K
o
r
n
e
e
v
,
L
.
S
.
Ab
d
u
lla
k
h
L
i
p
e
t
s
k
s
t
a
t
e
t
e
c
h
n
i
c
a
l
U
n
i
v
e
rs
i
t
y
,
R
u
s
s
ia
Ar
t
ic
le
I
n
f
o
AB
S
T
RAC
T
A
r
tic
le
h
is
to
r
y
:
R
e
c
e
iv
e
d
F
e
b
1
0
,
2
0
1
6
R
e
v
i
s
e
d
A
p
r
6
,
2
0
1
6
A
c
c
e
p
te
d
A
p
r
2
0
,
2
0
1
6
T
h
e
p
a
p
e
r
c
o
n
s
i
d
e
rs
t
ri
l
i
n
e
a
r
n
e
i
g
h
b
o
rh
o
o
d
m
o
d
e
l
o
f
p
r
o
c
e
s
s
o
f
f
o
rm
a
t
i
o
n
o
f
t
e
m
p
e
r
a
t
u
re
’s
c
o
i
l
i
n
g
h
o
t
-
r
o
l
l
e
d
s
t
ri
p
,
w
h
e
re
t
h
e
p
a
ra
m
e
t
e
r
s
a
re
t
h
e
s
t
a
t
e
,
c
o
n
t
ro
l
a
n
d
i
n
f
o
rm
a
t
i
o
n
.
T
h
e
m
e
t
h
o
d
s
o
f
d
e
t
e
rm
i
n
i
n
g
t
h
e
c
o
m
p
o
s
i
t
i
o
n
o
f
e
x
t
re
m
u
m
s
o
f
t
h
e
g
e
n
e
r
a
l
p
a
ra
m
e
t
ri
c
o
p
e
ra
t
i
o
n
a
re
p
re
s
e
n
t
e
d
.
E
x
t
re
m
u
m
s
’
c
o
n
d
i
t
i
o
n
f
o
r
t
h
e
e
x
i
s
t
e
n
c
e
,
w
h
i
c
h
h
a
s
b
e
e
n
t
e
s
t
e
d
o
n
a
c
o
n
c
re
t
e
e
x
a
m
p
l
e
,
i
s
o
b
t
a
i
n
e
d
.
T
h
e
a
s
s
u
m
p
t
i
o
n
a
b
o
u
t
t
h
e
a
re
a
i
n
w
h
i
c
h
i
t
i
s
i
m
p
o
s
s
i
b
l
e
t
o
s
a
y
w
i
t
h
c
e
rt
a
i
n
t
y
a
b
o
u
t
t
h
e
s
y
s
t
e
m
’s
s
t
a
b
i
l
i
t
y
i
s
s
t
a
t
e
d
.
T
h
e
h
y
p
o
t
h
e
s
i
s
a
b
o
u
t
t
h
e
c
o
n
d
i
t
i
o
n
o
f
t
h
e
l
o
s
s
o
f
t
h
e
p
o
s
i
t
i
o
n
o
f
s
t
a
b
l
e
e
q
u
i
l
i
b
ri
u
m
o
f
t
h
e
s
y
s
t
e
m
a
n
d
t
h
e
t
ra
n
s
i
t
i
o
n
t
o
a
n
e
w
s
t
a
t
e
.
K
e
y
w
o
r
d
:
E
x
tr
e
m
u
m
s
H
o
t
-
r
o
lle
d
s
tr
ip
I
d
e
n
tif
ic
a
t
io
n
M
ix
e
d
m
a
n
a
g
e
m
e
n
t
N
e
ig
h
b
o
r
h
o
o
d
s
y
s
te
m
N
o
r
m
a
liz
a
tio
n
P
a
r
a
m
e
tr
ic
v
a
r
ia
b
le
s
Co
p
y
r
i
g
h
t
©
2
0
1
6
In
s
t
i
t
u
t
e
o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
r
i
n
g
a
n
d
S
c
i
e
n
c
e
.
A
l
l
r
i
g
h
t
s
r
e
s
e
r
v
e
d
.
C
o
r
r
e
s
p
o
n
d
in
g
A
u
th
o
r
:
A
b
d
u
l
la
k
h
L
.
S
.
,
L
ip
e
ts
k
s
ta
te
te
c
h
n
ic
a
l
U
n
i
v
e
r
s
it
y
,
R
u
s
s
ia
,
3
0
M
o
s
k
o
v
s
k
a
y
a
S
t.
3
9
8
6
0
0
L
ip
e
ts
k
,
R
u
s
s
ia
.
E
m
a
il:
d
.
4
8
@
r
a
m
b
le
r
.
r
u
1
.
I
NT
RO
D
UCT
I
O
N
Ne
ig
h
b
o
r
h
o
o
d
m
o
d
e
ls
a
r
e
a
p
r
o
m
i
s
i
n
g
d
ir
e
c
tio
n
i
n
t
h
e
s
p
h
e
r
e
o
f
c
o
m
p
le
x
s
y
s
te
m
s
’
m
o
d
e
l
in
g
,
s
i
n
c
e
th
e
d
i
f
f
e
r
w
it
h
t
h
e
ir
d
e
s
c
r
ip
ti
o
n
v
e
r
s
a
tilit
y
w
i
th
th
e
h
e
lp
o
f
t
h
e
a
m
b
its
o
f
t
h
e
b
o
n
d
s
’
s
tr
u
c
tu
r
e
b
e
t
w
e
e
n
th
e
s
y
s
te
m
’
s
n
o
d
e
s
.
Ne
ig
h
b
o
r
h
o
o
d
s
y
s
te
m
s
’
t
h
e
o
r
y
i
s
a
u
n
iv
e
r
s
a
l
m
e
a
n
s
o
f
a
c
a
te
g
o
r
y
o
f
d
is
c
r
e
te
d
is
tr
ib
u
te
d
s
y
s
te
m
s
m
o
d
e
li
n
g
:
s
ta
tio
n
a
r
y
a
n
d
d
y
n
a
m
ic
,
c
le
a
r
a
n
d
ille
g
i
b
le
,
w
ith
li
n
e
a
r
a
n
d
n
o
n
lin
e
a
r
r
e
la
tio
n
s
h
ip
s
.
T
h
is
th
e
o
r
y
i
s
a
g
e
n
e
r
a
liz
i
n
g
f
o
r
m
a
n
y
d
is
c
r
e
te
d
is
tr
ib
u
te
d
s
y
s
te
m
s
,
t
h
e
n
e
i
g
h
b
o
r
h
o
o
d
a
p
p
r
o
a
c
h
’
s
u
s
e
in
a
p
p
lic
a
tio
n
ta
s
k
s
c
o
v
e
r
s
s
y
s
te
m
s
o
f
d
if
f
e
r
e
n
t
n
a
t
u
r
e
a
n
d
d
ir
e
c
tio
n
-
f
r
o
m
te
c
h
n
i
c
a
l
to
e
c
o
n
o
m
ic
s
.
Ne
ig
h
b
o
r
h
o
o
d
m
o
d
e
ls
-
a
n
e
x
tr
e
m
e
l
y
e
f
f
ic
ie
n
t
m
o
d
e
li
n
g
m
e
t
h
o
d
w
h
ic
h
a
llo
w
s
to
r
e
p
r
o
d
u
c
e
c
o
m
p
le
x
d
e
p
e
n
d
e
n
c
ie
s
.
A
s
a
n
e
x
a
m
p
le
,
p
a
r
a
m
e
tr
ic
n
e
ig
h
b
o
r
h
o
o
d
m
o
d
e
li
n
g
o
f
t
h
e
p
r
o
c
e
s
s
o
f
f
o
r
m
a
t
io
n
o
f
te
m
p
e
r
a
tu
r
e
’
s
c
o
il
in
g
h
o
t
-
r
o
l
le
d
s
tr
ip
.
M
ic
r
o
s
tr
u
c
t
u
r
e
o
f
h
o
t
-
r
o
lle
d
s
te
e
l
d
e
p
e
n
d
s
o
n
t
h
e
r
o
lli
n
g
’
s
e
n
d
te
m
p
e
r
a
tu
r
e
a
n
d
c
o
ili
n
g
’
s
te
m
p
e
r
a
tu
r
e
.
T
o
g
e
t
a
f
i
n
e
-
g
r
a
i
n
e
d
u
n
if
o
r
m
o
f
t
h
e
m
e
ta
l
’
s
s
tr
u
c
tu
r
e
o
f
lo
w
c
a
r
b
o
n
s
te
e
l,
its
r
o
lli
n
g
m
u
s
t
b
e
f
in
i
s
h
e
d
a
t
a
te
m
p
e
r
a
t
u
r
e
o
f
7
6
0
-
9
0
0
C
,
a
n
d
th
e
r
o
ll
m
u
s
t
b
e
r
e
e
le
d
a
t
c
o
ilin
g
’
s
te
m
p
e
r
a
tu
r
e
o
f
5
4
0
-
7
2
0
C
.
S
tr
ip
’
s
c
o
o
li
n
g
a
f
te
r
f
i
n
is
h
i
n
g
g
r
o
u
p
s
ta
n
d
s
is
r
e
a
liz
e
d
o
n
t
h
e
d
e
f
e
r
e
n
t
r
o
lle
r
.
T
h
e
d
e
f
e
r
e
n
t
r
o
lle
r
o
f
h
o
t
r
o
llin
g
m
ill
is
a
s
ig
n
i
f
ic
a
n
t
p
a
r
t
o
f
t
h
e
w
a
y
t
h
r
o
u
g
h
w
h
ic
h
t
h
e
s
tr
ip
p
a
s
s
e
s
a
f
te
r
r
o
llin
g
to
r
e
e
ls
.
T
h
e
m
a
i
n
f
u
n
c
tio
n
o
f
d
e
f
e
r
e
n
t
r
o
lle
r
’
s
s
e
c
tio
n
is
c
o
o
lin
g
th
e
s
tr
ip
f
r
o
m
th
e
r
o
lli
n
g
te
m
p
e
r
a
t
u
r
e
to
a
te
m
p
e
r
a
tu
r
e
s
u
ita
b
le
f
o
r
th
e
c
o
ilin
g
.
A
b
o
v
e
a
n
d
b
e
lo
w
t
h
e
s
tr
ip
,
m
o
v
i
n
g
o
n
th
e
r
o
lle
r
,
ta
n
k
s
w
it
h
w
a
te
r
f
o
r
th
e
c
o
o
lin
g
a
r
e
m
o
u
n
te
d
.
T
a
n
k
s
a
r
e
u
n
ite
d
in
h
a
l
f
-
s
e
c
t
io
n
–
th
e
m
i
n
i
m
u
m
c
o
n
tr
o
lle
d
d
e
v
i
c
e
s
f
o
r
c
o
o
lin
g
.
I
n
te
c
h
n
o
lo
g
ic
a
l
o
b
j
e
c
t'
s
r
e
a
l
f
u
n
c
tio
n
i
n
g
c
o
n
d
itio
n
,
t
h
e
m
a
t
h
e
m
a
tic
a
l
m
o
d
e
lin
g
i
s
a
n
e
f
f
e
c
ti
v
e
m
e
t
h
o
d
o
f
in
d
ir
e
c
tl
y
f
in
d
i
n
g
t
h
e
o
b
j
e
c
t’
s
c
h
a
r
a
c
te
r
is
tic
s
a
n
d
its
e
le
m
e
n
ts
,
its
s
ta
te
a
n
d
t
h
e
r
e
la
tio
n
s
h
ip
s
b
e
t
w
e
e
n
th
e
m
.
M
o
d
e
l’
s
d
e
v
e
lo
p
m
e
n
t
o
f
te
c
h
n
o
lo
g
ic
a
l
p
r
o
c
e
s
s
a
n
d
it
s
c
o
n
tr
o
l
s
y
s
te
m
s
a
llo
w
s
to
id
e
n
ti
f
y
a
d
d
itio
n
a
l
c
h
a
r
a
c
te
r
is
tic
s
a
n
d
th
e
o
b
j
e
c
t’
s
a
ttr
ib
u
te
s
a
n
d
th
e
r
e
b
y
i
m
p
r
o
v
e
th
e
m
a
n
a
g
e
m
e
n
t
'
s
q
u
a
lit
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2
0
8
8
-
8
7
0
8
I
J
E
C
E
Vo
l.
6
,
No
.
3
,
J
u
n
e
2
0
1
6
:
1
3
7
1
–
1
3
7
4
1
3
7
2
2
.
RE
S
E
ARCH
M
E
T
H
O
D
L
e
t
’
s
c
o
n
s
id
e
r
th
e
r
e
a
liz
a
tio
n
o
f
th
e
m
e
t
h
o
d
o
f
th
e
tr
ili
n
e
a
r
n
e
ig
h
b
o
r
h
o
o
d
m
o
d
e
l’
s
c
o
n
s
tr
u
c
tio
n
o
n
th
e
c
o
m
p
le
x
d
is
tr
ib
u
te
d
o
b
j
e
c
t’
s
e
x
a
m
p
le
–
te
c
h
n
o
l
o
g
ic
a
l
p
r
o
c
e
s
s
o
f
a
c
c
e
le
r
a
te
d
c
o
o
lin
g
o
f
t
h
e
h
o
t
s
tr
ip
o
n
th
e
b
r
o
a
d
b
a
n
d
h
o
t
r
o
llin
g
m
ill.
I
n
g
e
n
e
r
a
l
f
o
r
m
,
tr
ili
n
e
a
r
n
e
i
g
h
b
o
r
h
o
o
d
m
o
d
e
l
lo
o
k
s
li
k
e
th
e
f
o
llo
w
in
g
:
,
0
]
[
]
[
]
[
]
,
,
,
[
]
[
]
[
]
,
,
[
]
[
]
[
]
,
,
[
]
[
]
[
]
,
,
[
]
[
]
,
[
]
[
]
,
[
]
[
]
,
[
]
[
]
[
]
[
]
[
]
[
]
[
]
[
]
[
]
[
]
[
]
[
]
[
g
b
a
g
b
a
g
b
g
b
g
a
g
a
b
a
b
a
g
g
b
b
a
a
a
b
g
b
g
a
g
a
b
g
b
a
Y
V
X
a
w
Y
V
a
w
Y
X
a
w
V
X
a
w
Y
a
w
V
a
w
X
a
w
a
O
a
O
a
O
xvy
a
O
a
O
vy
a
O
a
O
xy
a
O
a
O
xv
a
O
y
a
O
v
a
O
x
x
v
y
v
y
x
y
x
v
y
v
x
(
1
)
w
h
e
r
e
[
]
n
X
a
R
,
[
]
m
V
a
R
,
[
]
l
Y
a
R
-
s
ta
te
,
c
o
n
tr
o
l
a
n
d
in
f
o
r
m
a
tio
n
in
th
e
s
y
s
te
m
n
o
d
e
;
[
,
]
c
n
w
a
R
x
,
[
,
]
c
m
w
a
R
v
,
[
,
]
c
l
w
a
R
y
,
[
,
,
]
c
n
m
w
a
R
x
v
,
[
,
,
]
c
n
l
w
a
R
x
y
,
[
,
,
]
c
m
l
w
a
R
v
y
,
[
,
,
,
]
c
n
m
l
w
a
R
x
v
y
-
m
a
tr
i
x
p
a
r
a
m
e
te
r
s
;
[
]
,
[
]
,
[
]
O
a
O
a
O
a
x
v
y
-
n
e
ig
h
b
o
r
h
o
o
d
s
o
f
a
’
s
n
o
d
e
o
n
t
h
e
s
ta
te
,
m
a
n
a
g
e
m
e
n
t
a
n
d
i
n
f
o
r
m
a
tio
n
a
d
e
q
u
a
te
l
y
;
1
2
,
,
,
,
,
,
.
.
.
,
n
a
A
A
a
a
a
-
a
f
in
i
te
s
e
t
o
f
s
y
s
te
m
c
o
m
p
o
n
e
n
t
s
.
M
o
d
e
l
(
1
)
w
it
h
a
d
e
ta
ile
d
r
e
c
o
r
d
ta
k
e
s
th
e
f
o
llo
w
in
g
f
o
r
m
:
[
1
,
1
]
[
1
]
[
1
,
2
]
[
2
]
...
[
1
,
2
,
1
,
1
]
[
2
]
[
1
]
[
1
]
[
1
,
2
,
2
,
1
]
[
2
]
[
1
]
[
2
]
0
;
...
[
3
,
2
]
[
2
]
[
3
,
3
]
[
3
]
...
[
3
,
3
,
2
,
3
]
[
3
]
[
3
]
[
2
]
[
3
,
3
,
3
,
3
]
[
3
]
[
3
]
[
3
]
0
.
x
x
x
v
y
x
v
y
x
x
x
v
y
x
v
y
w
x
w
x
w
x
v
y
w
x
v
y
w
x
w
x
w
x
v
y
w
x
v
y
(
2
)
E
s
s
e
n
tia
l
c
o
m
p
o
n
e
n
t
s
o
f
x
s
ta
t
e
,
v
m
a
n
a
g
e
m
e
n
t,
a
n
d
th
e
t
h
ir
d
p
a
r
a
m
e
te
r
,
f
o
r
w
h
ic
h
t
h
e
y
i
n
f
o
r
m
a
tio
n
m
a
y
b
e
ta
k
e
n
(
T
a
b
le
1
)
w
e
r
e
d
is
ti
n
g
u
is
h
f
o
r
th
e
m
o
d
e
l.
T
a
b
le
1
.
C
o
m
p
o
n
e
n
ts
o
f
t
h
e
s
t
a
te
,
c
o
n
tr
o
l
a
n
d
in
f
o
r
m
a
tio
n
.
x
[
1
]
C
o
i
l
i
n
g
t
e
m
p
e
r
a
t
u
r
e
f
o
r
t
h
e
f
i
r
s
t
a
r
e
a
o
f
t
h
e
s
i
t
e
s
t
r
i
p
,
°
С
x
[
2
]
C
o
i
l
i
n
g
t
e
m
p
e
r
a
t
u
r
e
f
o
r
t
h
e
s
e
c
o
n
d
a
r
e
a
o
f
t
h
e
s
i
t
e
s
t
r
i
p
,
°
С
x
[
3
]
C
o
i
l
i
n
g
t
e
m
p
e
r
a
t
u
r
e
f
o
r
t
h
e
t
h
i
r
d
a
r
e
a
o
f
t
h
e
s
i
t
e
s
t
r
i
p
,
°
С
v
[
1
]
T
h
e
a
m
o
u
n
t
о
f
i
n
c
l
u
d
e
d
h
a
l
f
-
se
c
t
i
o
n
s
o
f
w
a
t
e
r
c
o
o
l
i
n
g
f
o
r
t
h
e
f
i
r
st
a
r
e
a
o
f
t
h
e
si
t
e
st
r
i
p
v
[
2
]
T
h
e
a
m
o
u
n
t
о
f
i
n
c
l
u
d
e
d
h
a
l
f
-
se
c
t
i
o
n
s
o
f
w
a
t
e
r
c
o
o
l
i
n
g
f
o
r
t
h
e
se
c
o
n
d
a
r
e
a
o
f
t
h
e
s
i
t
e
st
r
i
p
v
[
3
]
T
h
e
a
m
o
u
n
t
о
f
i
n
c
l
u
d
e
d
h
a
l
f
-
se
c
t
i
o
n
s
o
f
w
a
t
e
r
c
o
o
l
i
n
g
f
o
r
t
h
e
t
h
i
r
d
a
r
e
a
o
f
t
h
e
si
t
e
s
t
r
i
p
y
[
1
]
C
o
o
l
i
n
g
w
a
t
e
r
t
e
m
p
e
r
a
t
u
r
e
,
°
С
y
[
2
]
C
o
o
l
i
n
g
w
a
t
e
r
t
e
m
p
e
r
a
t
u
r
e
,
°
С
y
[
3
]
C
o
o
l
i
n
g
w
a
t
e
r
t
e
m
p
e
r
a
t
u
r
e
,
°
С
L
e
t
’
s
s
ta
te
c
o
m
p
o
n
e
n
ts
’
v
a
l
u
e
s
o
f
s
ta
te
,
m
a
n
a
g
e
m
e
n
t
a
n
d
in
f
o
r
m
a
tio
n
a
n
d
c
o
n
d
u
c
t
tr
ilin
e
a
r
n
e
ig
h
b
o
r
h
o
o
d
m
o
d
e
l’
s
id
e
n
ti
f
i
c
a
tio
n
b
a
s
e
d
o
n
p
r
e
v
io
u
s
l
y
d
e
v
e
lo
p
e
d
a
lg
o
r
ith
m
s
.
S
ta
te
’
s
v
a
lu
e
a
a
c
c
o
r
d
in
g
to
te
c
h
n
o
lo
g
ic
a
l
p
a
r
a
m
e
te
r
s
:
x
[
1
]
=
5
8
7
°
С
;
x
[
2
]
=
5
7
3
°
С
;
x
[
3
]
=
5
8
7
°
С
.
M
a
n
a
g
e
m
e
n
t
’
s
v
a
l
u
e
a
a
c
c
o
r
d
i
n
g
to
te
c
h
n
o
lo
g
ic
a
l
p
a
r
a
m
e
te
r
s
:
v
[
1
]
=
1
5
p
ie
c
e
;
v
[
2
]
=
2
8
p
ie
c
e
;
v
[
3
]
=
1
8
p
ie
c
e
.
I
n
f
o
r
m
a
tio
n
’
s
v
a
l
u
e
a
a
c
c
o
r
d
i
n
g
to
te
c
h
n
o
lo
g
ic
a
l
p
a
r
a
m
e
te
r
s
:
y
[
1
]
=
y
[
2
]
=
y
[
3
]
=
4
0
°
C
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
S
S
N:
2
0
8
8
-
8
7
0
8
S
tu
d
y
o
f
T
h
e
T
r
ilin
e
a
r
N
e
ig
h
b
o
r
h
o
o
d
M
o
d
e
l
o
f
P
r
o
c
e
s
s
o
f
F
o
r
m
u
la
tio
n
o
f
T
e
mp
e
r
a
tu
r
e
'
s
.
.
.
.
(
A
.
M
.
S
h
y
mr
in
)
1
3
7
3
Du
e
to
th
e
d
i
f
f
e
r
e
n
t
o
r
d
e
r
o
f
th
e
d
a
ta
’
s
i
n
p
u
t
th
e
n
o
r
m
a
liz
a
t
i
o
n
a
c
c
o
r
d
in
g
to
th
e
f
o
r
m
u
la
is
p
r
o
d
u
c
e
:
s
x
x
x
,
(
3
)
w
h
e
r
e
x
–
n
o
r
m
a
liz
e
d
v
a
l
u
e
,
x
–
a
r
ith
m
e
t
ic
m
e
a
n
,
s
–
v
a
lu
e
s
’
r
o
o
t
-
m
e
a
n
-
s
q
u
a
r
e
d
e
v
ia
tio
n
.
Af
te
r
t
h
e
n
o
r
m
a
liz
a
t
io
n
w
e
g
e
t:
x
[
1
]
=
0
,
7
0
7
1
1
;
x
[
2
]
=
-
1
,
4
1
4
2
1
;
x
[
3
]
=
0
,
7
0
7
1
1
;
v
[
1
]
=
-
0
,
9
5
9
6
2
;
v
[
2
]
=
1
,
3
7
9
4
5
;
v
[
3
]
=
-
0
,
4
1
9
8
3
;
y
[
1
]
=
y
[
2
]
=
y
[
3
]
=
1
.
W
e
’
ll
g
e
t
t
h
a
t
wy
[
1
,
1
]
=
w
y
[
2
,
2
]
=
w
y
[
3
,
3
]
=
1
.
A
s
a
r
e
s
u
lt
o
f
t
h
e
id
e
n
tif
ic
a
tio
n
w
e
o
b
ta
in
:
w
x
[
3
,
2
]
=
0
.
0
7
2
,
w
x
[
3
,
3
]
=
-
0
.
0
3
6
,
.
.
.
,
w
x
v
y
[
3
,
3
,
2
,
3
]
=
-
0
.
0
5
,
w
x
v
y
[
3
,
3
,
3
,
3
]
=
0
.
0
1
5
.
L
e
t
’
s
e
x
p
r
e
s
s
n
e
i
g
h
b
o
r
h
o
o
d
v
a
r
ia
b
le
s
x
,
v
a
n
d
y
t
h
r
o
u
g
h
p
a
r
a
m
e
tr
ic
v
a
r
ia
b
le
U.
L
i
n
e
a
r
d
e
p
e
n
d
e
n
c
e
a
r
e
a
s
f
o
llo
w
s
:
[
1
]
[
3
]
0
.
0
0
1
5
1
.
1
6
1
7;
x
x
U
[
2
]
0
.
0
0
1
5
1
.
8
6
8
8
;
x
U
[
1
]
[
2
]
[
3
]
0
.
0
0
7
2
3
.
5
3
8
6
;
v
v
v
U
[
1
]
[
2
]
[
3
]
0
.
0
0
0
5
1
.
y
y
y
U
S
u
b
s
ti
tu
t
in
g
g
i
v
e
n
d
e
p
e
n
d
e
n
c
ie
s
in
to
th
e
s
y
s
te
m
(
1
)
a
n
d
s
u
m
m
i
n
g
th
e
e
q
u
a
t
io
n
,
w
e
g
e
t
a
g
e
n
e
r
a
l
p
a
r
a
m
e
tr
ic
e
q
u
a
tio
n
o
f
n
e
i
g
h
b
o
r
h
o
o
d
m
o
d
e
l:
7
2
1
0
3
0
,
0
0
2
8
5
1
,
1
1
0
5
6
1
0
2
,
5
2
6
6
1
0
0
,
0
2
5
9
.
Z
U
U
U
(
4
)
3
.
RE
S
U
L
T
S
A
ND
AN
AL
Y
S
I
S
I
n
th
i
s
s
e
c
tio
n
,
it
is
e
x
p
la
i
n
e
d
th
e
r
e
s
u
lts
o
f
r
e
s
e
a
r
c
h
a
n
d
a
t
th
e
s
a
m
e
ti
m
e
is
g
i
v
e
n
t
h
e
c
o
m
p
r
e
h
e
n
s
iv
e
d
is
c
u
s
s
io
n
.
R
e
s
u
lt
s
c
a
n
b
e
p
r
e
s
e
n
te
d
i
n
f
i
g
u
r
e
s
,
g
r
a
p
h
s
,
ta
b
le
s
a
n
d
o
th
e
r
s
t
h
a
t
m
a
k
e
t
h
e
r
e
a
d
e
r
u
n
d
e
r
s
ta
n
d
e
a
s
il
y
[
1
]
-
[
4
]
.
T
h
e
d
is
c
u
s
s
io
n
c
a
n
b
e
m
a
d
e
in
s
e
v
e
r
a
l
s
u
b
-
c
h
a
p
te
r
s
.
On
t
h
e
a
n
a
lo
g
y
o
f
(
4
)
,
le
t’
s
e
x
a
m
i
n
e
th
e
f
u
n
c
t
io
n
3
2
,
(
)
a
b
V
x
x
a
x
b
x
,
(
5
)
W
h
o
s
e
f
ir
s
t
a
n
d
s
e
c
o
n
d
d
e
r
iv
a
tiv
e
lo
o
k
s
l
ik
e
t
h
e
f
o
llo
w
i
n
g
:
2
3
2
0
d
V
x
a
x
b
d
x
,
(
6
)
2
2
6
2
0
d
V
x
a
d
x
.
(
7
)
E
x
c
lu
d
i
n
g
x
f
r
o
m
t
h
e
e
q
u
a
tio
n
(
6
)
a
n
d
(
7
)
,
w
e
’
ll
g
e
t
p
a
r
a
b
o
la
e
q
u
a
tio
n
:
2
1
3
b
a
.
(
8
)
On
c
o
n
d
itio
n
2
1
3
b
a
,
th
e
f
u
n
c
tio
n
(
5
)
h
a
s
t
w
o
c
r
itic
a
l
p
o
i
n
ts
c
r
itic
a
l
p
o
in
ts
s
u
c
h
a
s
m
i
n
i
m
u
m
a
n
d
m
a
x
i
m
u
m
,
a
n
d
o
n
c
o
n
d
itio
n
2
1
3
b
a
-
c
r
itic
a
l
p
o
in
ts
a
r
e
a
b
s
e
n
t.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2
0
8
8
-
8
7
0
8
I
J
E
C
E
Vo
l.
6
,
No
.
3
,
J
u
n
e
2
0
1
6
:
1
3
7
1
–
1
3
7
4
1
3
7
4
He
r
e
is
a
g
e
n
e
r
a
l
p
a
r
a
m
e
tr
ic
e
q
u
a
tio
n
(
4
)
to
th
e
s
ta
n
d
a
r
d
f
o
r
m
:
3
2
7
8
439
,
547
1
,
13
10
1
,
025
10
Z
U
U
U
(
9
)
T
h
e
c
o
n
d
itio
n
2
1
3
b
a
is
r
e
a
liz
e
d
,
i.
e
.
7
2
1
1
,
1
3
1
0
(
4
3
9
,
5
4
7
)
6
4
4
0
0
,
5
2
2
3
.
T
h
a
t’
s
w
h
y
t
h
e
f
u
n
c
tio
n
(
9
)
h
a
s
o
n
e
m
i
n
i
m
u
m
p
o
in
t
U=
1
7
9
9
,
7
a
n
d
o
n
e
m
a
x
i
m
u
m
p
o
in
t
U=
-
2
0
9
2
,
8
.
A
t
t
h
e
r
e
v
e
r
s
e
tr
a
n
s
itio
n
f
r
o
m
th
e
p
a
r
a
m
e
tr
ic
v
a
r
ia
b
le
to
th
e
n
e
ig
h
b
o
r
h
o
o
d
o
n
e
,
s
u
b
s
tit
u
ti
n
g
t
h
e
U
v
a
l
u
e
,
w
h
i
c
h
c
o
r
r
e
s
p
o
n
d
s
to
m
i
n
i
m
u
m
a
n
d
m
a
x
i
m
u
m
v
a
l
u
e
s
,
x
,
v
a
n
d
y
a
r
e
b
e
y
o
n
d
th
e
p
e
r
m
is
s
ib
le
v
a
l
u
e
s
.
T
h
i
s
m
e
a
n
s
t
h
a
t
w
h
e
n
o
p
e
r
a
tin
g
i
n
t
h
e
p
o
s
itio
n
s
o
f
s
ta
b
le
(
m
i
n
i
m
u
m
)
o
r
u
n
s
t
a
b
le
(
m
a
x
i
m
u
m
)
b
a
la
n
c
e
,
w
e
’
ll
g
e
t
th
e
m
e
ta
l
o
f
u
n
s
a
ti
s
f
a
c
to
r
y
q
u
a
lit
y
a
t
th
e
o
u
tp
u
t.
T
h
u
s
,
w
e
c
a
n
c
o
n
c
lu
d
e
t
h
a
t
t
h
e
s
y
s
te
m
is
in
a
n
a
r
e
a
in
w
h
ic
h
it
is
i
m
p
o
s
s
ib
le
to
s
a
y
w
i
t
h
c
e
r
ta
i
n
t
y
a
b
o
u
t
th
e
s
ta
b
ilit
y
o
f
th
e
s
y
s
t
e
m
.
W
o
r
k
in
g
t
h
a
t
w
a
y
,
c
o
e
f
f
i
c
ie
n
ts
’
v
a
l
u
e
s
o
f
th
e
g
e
n
e
r
a
l
p
a
r
a
m
e
tr
ic
e
q
u
a
tio
n
m
a
y
c
h
a
n
g
e
,
w
h
ic
h
e
n
ta
ils
t
h
e
r
is
k
o
f
r
e
v
e
r
s
e
c
o
n
d
itio
n
s
t
h
a
t,
a
c
c
o
r
d
in
g
to
[
5
]
,
s
a
y
s
a
b
o
u
t
th
e
lo
s
s
o
f
th
e
e
q
u
ilib
r
iu
m
p
o
s
itio
n
a
n
d
th
e
p
o
s
s
ib
ilit
y
o
f
t
h
e
s
y
s
te
m
’
s
c
o
n
v
e
r
s
io
n
to
a
n
e
w
s
ta
te
.
4
.
CO
NCL
U
S
I
O
N
I
n
th
is
p
a
p
e
r
th
e
m
a
t
h
e
m
a
tic
a
l
tr
ilin
e
a
r
n
e
i
g
h
b
o
r
h
o
o
d
m
o
d
e
l
o
f
te
m
p
e
r
a
t
u
r
e
’
s
f
o
r
m
a
tio
n
o
f
h
o
t
r
o
lle
d
s
tr
ip
’
s
c
o
ili
n
g
i
s
o
b
ta
in
e
d
,
th
e
te
c
h
n
iq
u
e
o
f
d
e
te
r
m
in
i
n
g
t
h
e
c
o
m
p
o
s
itio
n
o
f
e
x
tr
e
m
u
m
s
a
c
c
o
r
d
in
g
to
th
e
f
u
n
c
tio
n
’
s
c
o
e
f
f
ic
ie
n
t
s
is
p
r
e
s
e
n
te
d
.
A
h
y
p
o
th
e
s
is
o
f
t
h
e
s
y
s
te
m
’
s
a
r
e
a
s
o
f
s
ta
b
ilit
y
is
s
u
g
g
e
s
te
d
.
T
h
e
d
e
v
e
lo
p
e
d
m
a
th
e
m
a
tic
a
l
n
e
ig
h
b
o
r
h
o
o
d
m
o
d
e
l
c
a
n
ta
k
e
i
n
t
o
a
c
c
o
u
n
t
o
t
h
e
r
te
c
h
n
o
lo
g
ic
a
l
p
a
r
a
m
e
te
r
s
o
f
t
h
e
r
o
llin
g
p
r
o
c
e
s
s
a
n
d
s
te
e
l’
s
c
h
e
m
ic
a
l
c
o
m
p
o
s
i
tio
n
.
RE
F
E
R
E
NC
E
S
[1
]
A
.
M
.
S
h
m
y
ri
n
a
n
d
I.
A
.
S
e
d
y
k
h
,
“
Id
e
n
t
i
f
i
c
a
t
i
o
n
a
n
d
Co
n
t
ro
l
A
l
g
o
r
i
t
h
m
s
o
f
F
u
n
c
t
i
o
n
i
n
g
f
o
r
N
e
i
g
h
b
o
rh
o
o
d
S
y
s
t
e
m
s
Ba
s
e
d
o
n
P
e
t
r
i
N
e
t
s
,
”
A
u
t
o
m
a
t
i
o
n
a
n
d
R
e
m
o
t
e
C
o
n
t
r
o
l
,
v
o
l
/
i
s
s
u
e
:
7
1
(
6
)
,
p
p
.
1
2
6
5
-
1
2
7
4
,
2
0
1
0
.
[2
]
S
.
L
.
Bl
y
u
m
i
n
,
e
t
a
l
.
,
“
Bi
l
i
n
e
a
r
N
e
i
g
h
b
o
rh
o
o
d
S
y
s
t
e
m
s
,
”
M
o
n
o
g
r
a
p
h
.
L
i
p
e
t
s
k
,
L
i
p
e
t
s
k
S
t
a
t
e
T
e
c
h
n
i
c
a
l
U
n
i
v
e
r
s
i
t
y
P
u
b
l
i
s
h
e
r
s
,
p
p
.
1
3
1
,
2
0
0
6
.
[3
]
A
.
L
.
G
e
n
k
i
n
a
n
d
I.
V
.
N
i
k
u
l
i
n
,
“
T
h
e
U
s
e
o
f
S
i
m
u
l
a
t
i
o
n
i
n
t
h
e
C
o
n
t
r
o
l
S
h
e
e
t
-
Ro
l
l
i
n
g
Co
m
p
l
e
x
,
”
In
f
o
r
m
a
c
i
o
n
n
y
e
T
e
h
n
o
l
o
g
i
i
i
V
y
c
h
i
s
l
i
t
e
l
'
n
y
e
S
i
s
t
e
m
y
,
v
o
l
.
2
,
p
p
.
7
5
-
7
9
,
2
0
1
1
.
[4
]
A
.
M
.
K
o
rn
e
e
v
,
e
t
a
l
.
,
“
Cri
t
e
ri
o
n
f
o
r
A
s
s
e
s
s
i
n
g
T
h
e
E
ff
e
c
t
i
v
e
n
e
s
s
o
f
F
u
n
c
t
i
o
n
i
n
g
o
f
Co
m
p
l
e
x
S
y
s
t
e
m
s
Ba
s
e
d
o
n
T
h
e
U
s
e
T
h
e
A
m
o
u
n
t
o
f
In
f
o
rm
a
t
i
o
n
,
”
In
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
o
f
A
p
p
l
i
e
d
E
n
g
i
n
e
e
r
i
n
g
R
e
s
e
a
r
c
h
,
v
o
l
/
i
s
s
u
e
:
1
0
(
1
1
)
,
p
p
.
2
7
9
6
1
-
2
7
9
8
0
,
2
0
1
5
.
[5
]
J
.
K
.
A
l
e
k
s
e
e
v
a
n
d
A
.
P
.
S
u
k
h
o
r
u
k
o
v
,
“
In
t
ro
d
u
c
t
i
o
n
t
o
t
h
e
T
h
e
o
ry
o
f
Ca
t
a
s
t
ro
p
h
e
s
,
”
L
i
b
ro
k
o
m
,
p
p
.
1
7
6
,
2
0
1
3
.
Evaluation Warning : The document was created with Spire.PDF for Python.