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tri
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a
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tree
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k
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o
m
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n
o
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f
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lec
tri
c
a
l
in
su
latio
n
.
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h
e
e
lec
tri
c
a
l
tree
is
c
o
m
m
o
n
l
y
fo
rm
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sh
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larity
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b
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p
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teriz
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tr
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lac
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d
re
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lt
s
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w
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a
t
th
e
g
ro
w
th
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c
tu
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s
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g
e
s
w
it
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d
if
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n
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v
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o
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to
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m
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it
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w
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ste
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iza
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to
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n
s an
d
li
f
e
s
p
a
n
o
f
so
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d
i
n
su
lati
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K
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w
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d
:
E
lectr
ical
tr
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in
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Fra
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d
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Sil
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In
stit
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C
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p
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A
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r
:
1.
I
NT
RO
D
UCT
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r
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su
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d
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a
v
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w
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ilic
on
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[
1
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.
T
h
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li
f
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pa
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f
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s
u
lat
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m
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r
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b
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f
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a
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a
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a
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s
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y
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r
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t
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r
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tal
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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C
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N:
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8
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F
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.
(
M.
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1629
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3
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Fr
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v
e
l
y
us
ed
in
m
e
d
ici
n
e
s
ci
e
n
c
e
s
a
n
d
b
i
o
l
o
g
ical.
B
e
s
i
d
es
t
h
at,
f
r
a
c
ta
l
a
n
a
l
ys
is
h
as
v
a
r
i
o
u
s
a
pp
licat
i
o
n
s
i
n
ele
c
tr
ical
e
n
g
i
n
e
er
i
n
g
f
ield
i
n
c
l
u
d
i
n
g
i
n
p
o
w
er
s
ys
t
e
m
s
f
a
u
l
t
a
n
a
l
ys
i
s
,
tes
t
i
n
g
o
f
l
i
g
h
t
n
i
n
g
s
tr
ik
e
i
n
la
b
f
r
a
c
tal
l
i
g
h
t
n
i
n
g
m
od
e
l
i
ng
,
f
u
ll
s
c
a
l
i
n
g
te
s
t
i
n
g
e
q
u
i
p
m
e
n
t
i
n
h
i
g
h
v
o
lt
a
g
e
a
n
d
d
iele
c
tr
ic
br
e
a
k
d
o
w
n
a
n
d
pr
e
-
br
e
a
k
d
o
w
n
p
h
e
n
o
m
e
n
o
n
s
t
ud
ies.
T
h
e
f
r
a
c
tal
d
i
m
e
n
s
i
o
n
o
f
tr
ee
s
tr
u
c
t
u
r
es
i
s
i
m
por
ta
n
t
f
o
r
t
h
e
s
tat
i
s
tical
a
n
a
l
y
s
i
s
o
f
po
l
ym
e
r
ic
m
a
te
r
ial
s
[
4
]
.
I
n
t
h
is
p
ap
er
,
f
r
a
c
ta
l
a
n
a
l
y
s
i
s
w
il
l
f
o
c
u
s
o
n
d
iele
c
tr
ic
pr
e
-
br
e
a
k
do
w
n
p
h
e
no
m
e
n
o
n
a
n
d
f
r
a
c
tal
d
i
m
e
ns
i
o
n
is
us
ed
as
a
p
a
r
a
m
eter
to
m
e
a
su
r
e
t
h
e
g
r
o
w
t
h
o
f
ele
c
tr
ical
tr
e
e
i
n
g
i
n
i
n
s
u
lat
i
n
g
m
a
te
r
ial
w
i
t
h
r
es
p
e
c
t
to
t
h
e
h
u
m
i
d
i
t
y
i
n
f
l
u
e
n
ce
s
o
t
h
at
t
h
e
r
e
lati
o
n
s
h
ip
b
e
t
w
e
e
n
f
r
a
c
tal
p
atte
r
n
s
o
f
ele
c
tr
ical
tr
e
es
in
s
ilic
o
n
e
r
u
bb
er
a
n
d
e
n
v
i
r
on
m
e
n
tal
s
tr
e
s
s
c
a
n
b
e
a
c
h
ie
v
e
d
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
I
n
t
h
is
p
r
o
j
e
c
t,
t
h
e
g
r
o
w
th
o
f
ele
c
tr
ical
tr
e
e
i
n
g
o
r
pr
e
-
br
e
a
k
d
o
w
n
p
h
e
n
o
m
e
n
o
n
in
t
h
e
i
n
s
u
lat
i
n
g
m
a
te
r
ials
w
a
s
ob
s
e
r
v
ed
b
y
c
o
n
d
u
ct
in
g
t
h
e
e
x
p
e
r
i
m
e
n
t.
S
ili
c
o
n
e
r
u
bb
er
w
as
us
ed
a
s
t
h
e
s
p
e
c
i
m
en
to
i
d
e
n
t
i
f
y
t
h
e
p
atte
r
n
o
f
ele
c
tr
ic
al
tr
e
e
i
n
g
u
n
d
er
h
u
m
i
d
i
t
y
c
o
n
d
itio
n
.
T
h
e
ele
c
tr
ical
tr
e
e
s
o
c
c
u
r
o
n
t
h
e
s
p
e
c
i
m
en
b
e
t
w
e
e
n
n
e
ed
le
-
ele
c
tr
od
e
tip
a
n
d
p
la
n
e
ele
c
tr
od
e
b
y
i
n
j
e
c
ti
n
g
AC
h
i
g
h
v
o
lta
g
e
.
T
h
e
s
p
e
c
i
m
en
w
a
s
s
u
b
j
e
c
ted
to
d
i
ff
e
r
e
n
t
c
o
n
d
iti
o
n
s
a
n
d
d
e
p
e
n
d
s
o
n
t
h
e
r
e
lat
i
v
e
hu
m
i
d
i
t
y
s
ele
c
te
d
.
A
f
te
r
w
a
rd
s
,
t
h
e
ob
tai
n
ed
ele
c
tr
ical
tr
ee
p
atte
r
n
s
w
e
r
e
m
e
a
su
r
ed
us
i
n
g
a
bo
x
-
c
ou
n
t
i
n
g
m
e
t
h
o
d
to
i
d
e
n
t
i
f
y
t
h
e
f
r
a
c
tal
d
i
m
e
n
s
i
o
n
u
n
d
er
e
a
ch
c
o
n
d
iti
o
n
.
Det
a
il
s
o
n
t
h
e
p
r
o
c
ed
u
r
e
to
c
on
d
u
ct
e
x
p
e
r
i
m
e
n
ts
a
n
d
s
a
m
p
le
pr
e
p
a
r
ati
o
n
c
a
n
b
e
r
e
f
e
rr
ed
t
o
r
e
f
e
r
e
n
ce
[
5
]
.
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
T
h
e
tr
e
e
i
n
g
p
a
tte
rn
s
ob
ta
i
n
ed
f
r
o
m
t
h
e
e
x
p
e
r
i
m
e
n
t
un
d
er
d
r
y
c
o
n
d
i
t
i
o
n
w
i
t
h
20
%
r
elat
i
v
e
hu
m
i
d
i
t
y
a
n
d
m
o
i
s
t
u
r
e
c
o
n
d
itio
n
w
i
t
h
90
%
r
elati
v
e
hu
m
i
d
i
t
y
w
e
r
e
a
n
a
l
y
z
e
d
as
sh
o
w
n
i
n
T
a
b
le
1
.
T
h
e
ele
c
tr
ical
tr
e
e
i
n
g
in
F
i
g
u
r
e
1(
a)
d
e
p
ic
ts
a
b
us
h
t
y
p
e
p
atte
r
n
s
w
i
th
d
o
m
i
n
a
n
t
t
i
n
y
br
a
n
c
h
e
s
t
h
at
w
e
r
e
l
o
c
a
li
z
ed
at
t
h
e
i
n
te
r
f
a
c
e.
T
h
is
c
o
n
d
itio
n
w
a
s
d
u
e
to
d
r
y
c
o
n
d
itio
n
i
n
w
h
i
c
h
l
e
s
s
c
o
n
t
a
m
i
n
ati
o
n
o
c
c
u
rr
ed
i
n
t
h
e
i
n
su
l
ati
o
n
.
F
i
g
u
r
e
1
(
b
)
sh
o
w
s
t
h
e
g
r
o
w
t
h
o
f
ele
c
tr
i
c
al
tr
e
e
s
in
br
a
n
ch
t
y
p
e
w
i
t
h
t
i
n
y
br
a
n
c
h
e
s
t
h
at
l
o
c
a
lized
at
t
h
e
i
n
te
r
f
a
c
e.
T
h
e
p
r
o
p
a
g
ati
o
n
o
f
t
h
e
l
on
g
tr
ee
b
r
a
n
ch
a
l
m
o
s
t
r
e
a
c
h
ed
t
h
e
g
r
o
u
n
d
ele
c
tr
od
e
d
u
e
to
t
h
e
pr
ese
n
t
o
f
t
h
e
w
a
ter
l
a
y
er
a
n
d
t
h
e
i
n
su
l
a
ti
o
n
w
as
m
o
i
s
t
u
r
i
z
ed
t
h
e
r
e
b
y
c
o
n
t
a
m
i
n
ati
n
g
t
h
e
i
n
s
u
lati
o
n
.
T
h
is
c
o
n
d
itio
n
w
o
u
ld
e
v
e
n
t
u
a
l
l
y
c
a
us
e
t
h
e
i
n
s
u
la
t
i
o
n
br
e
a
k
d
o
w
n
.
T
h
e
f
or
m
a
t
i
o
n
o
f
w
ater
tr
e
e
s
in
i
n
s
u
la
ti
o
n
w
as
a
pr
i
m
a
r
y
c
a
us
e
o
f
i
n
s
u
lati
o
n
f
ai
l
u
r
e
s
[
9
]
.
A
t
t
h
e
s
a
m
e
t
i
m
e,
e
a
ch
s
a
m
p
le
w
i
t
h
d
i
f
f
e
r
e
n
t
v
al
u
e
o
f
r
elat
i
v
e
hu
m
i
d
i
t
y
c
a
m
e
o
u
t
w
it
h
d
i
f
f
e
r
e
n
t
d
ir
e
c
ti
o
n
o
f
ele
c
tr
ic
a
l
tr
e
e
i
n
g
b
e
c
a
us
e
t
h
e
r
e
a
l
p
r
o
p
a
g
a
ti
o
n
o
f
t
h
e
tr
e
e
i
n
g
w
as
in
3
-
D.
I
n
t
h
is
p
r
o
j
e
c
t,
t
h
e
g
r
o
w
t
h
a
n
d
p
r
o
p
a
g
ati
o
n
o
f
tr
e
e
i
n
g
w
e
r
e
f
o
c
u
s
ed
o
n
2
-
D
d
u
e
to
t
h
e
c
o
m
p
lex
m
e
a
s
u
r
e
m
e
n
t
i
n
3
-
D.
B
ased
o
n
t
h
e
a
v
e
r
a
g
e
c
a
l
c
u
l
a
ti
o
n
o
f
f
r
a
c
tal
d
i
m
e
n
s
i
o
n
a
n
d
s
li
d
i
n
g
bo
x
la
c
u
n
a
r
i
t
y
i
n
bo
t
h
d
r
y
a
n
d
h
u
m
id
c
o
n
d
itio
n
,
t
h
e
a
v
e
r
a
g
e
o
f
f
r
a
c
tal
d
i
m
e
n
s
i
o
n
o
f
tr
e
e
i
n
g
s
t
r
u
c
t
u
r
es
in
d
r
y
c
o
n
d
itio
n
w
as
h
i
g
h
er
t
h
a
n
i
n
h
u
m
id
c
o
n
d
i
ti
o
n
.
T
h
is
is
b
e
c
a
us
e
t
h
e
tr
e
e
i
n
g
s
t
r
u
ct
u
r
e
s
i
n
d
r
y
c
o
n
d
it
io
n
w
e
r
e
l
o
c
a
li
z
ed
at
t
h
e
i
n
te
r
f
a
c
e
c
o
m
p
a
r
ed
to
t
h
e
tr
e
e
i
n
g
s
tr
u
c
t
u
r
es
i
n
hu
m
id
c
o
n
d
itio
n
w
h
ic
h
g
r
o
w
w
i
t
h
ou
t
l
o
c
a
li
z
ed
c
h
a
r
a
c
te
r
s.
Fo
r
s
li
d
i
n
g
bo
x
lac
u
n
a
r
i
t
y
,
t
h
e
s
a
m
p
l
e
s
tes
t
ed
u
n
d
er
dr
y
c
o
n
d
itio
n
p
r
o
v
i
d
e
t
h
e
h
i
g
h
e
r
v
al
u
e
o
f
s
li
d
i
n
g
bo
x
c
o
n
d
itio
n
c
o
m
p
a
r
ed
to
t
h
e
s
a
m
p
l
e
s
tes
t
ed
u
n
d
er
h
u
m
id
c
o
n
d
it
io
n
.
T
h
i
s
is
d
u
e
t
o
dr
y
c
o
n
d
itio
n
,
t
h
e
bu
s
h
-
t
y
p
e
o
f
e
le
c
tr
ical
tr
e
e
s
g
i
v
e
la
r
g
e
g
a
p
s
o
r
h
o
le
s
in
t
h
e
i
m
a
g
e.
L
a
c
u
n
a
r
i
t
y
h
el
p
s
to
d
esc
r
i
b
e
t
h
e
te
x
t
u
r
e
o
f
t
h
e
f
r
a
c
tal
a
n
d
c
l
as
s
i
f
y
f
u
r
t
h
er
o
n
t
h
e
tr
e
e
i
n
g
s
t
r
u
ct
u
r
e.
Fr
o
m
t
h
e
c
o
m
p
a
r
i
s
o
n
b
ased
o
n
d
if
f
e
r
e
n
t
e
nv
ir
o
n
m
e
n
ta
l
s
tr
e
s
s
,
it
c
a
n
b
e
s
tated
t
h
at
t
h
e
h
i
g
h
er
f
r
a
c
tal
d
i
m
e
n
s
i
o
n
a
n
d
h
i
gh
er
s
l
i
d
i
n
g
bo
x
lac
un
a
r
i
t
y
w
o
u
ld
p
r
o
v
i
d
e
a
g
oo
d
i
n
s
u
lat
o
r
w
i
t
h
r
es
p
e
c
t
to
dr
y
hu
m
i
d
i
t
y
i
n
f
l
u
e
n
c
ed
.
T
h
e
l
o
w
er
f
r
a
c
t
al
d
i
m
e
ns
i
o
n
a
n
d
l
o
w
er
s
l
i
d
i
n
g
bo
x
lac
u
n
a
r
i
t
y
w
o
u
ld
p
r
o
v
i
d
e
t
h
e
w
or
s
t
p
e
r
f
or
m
a
n
ce
o
f
t
h
e
i
n
s
u
lati
o
n
w
i
t
h
r
es
p
e
c
t
to
m
o
i
s
t
u
r
e
h
u
m
i
d
i
t
y
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