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IS
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e
xe
m
pl
a
ry
t
e
a
c
h
e
r
by
l
ooki
ng
a
t
t
h
e
t
e
a
c
he
r'
s
a
t
t
e
nd
a
nc
e
a
nd
t
he
t
e
a
c
he
r'
s
da
i
l
y
no
t
e
s
.
S
t
ude
n
t
s
w
e
re
a
s
k
e
d
t
o
g
i
ve
t
horoug
h
e
xpl
a
n
a
t
i
ons
o
f
w
hy
t
he
y
f
e
l
t
t
ha
t
,
a
s
w
e
l
l
a
s
a
n
y
s
ugge
s
t
i
ons
for
i
m
prov
e
m
e
nt
,
a
n
d
a
c
k
now
l
e
d
gm
e
nt
a
s
a
n
ou
t
s
t
a
ndi
n
g
e
du
c
a
t
or
i
n
t
h
e
re
por
t
on
t
e
a
c
hi
n
g
a
nd
l
e
a
rni
ng
[8]
.
D
e
c
i
s
i
ons
i
nvo
l
v
e
m
a
ny
i
nt
a
ng
i
bl
e
s
t
ha
t
n
e
e
d
t
o
be
c
o
ns
i
de
re
d
.
I
n
ord
e
r
t
o
do
s
o
m
e
t
hi
ng,
de
c
i
s
i
o
ns
m
us
t
be
m
e
a
s
ur
e
d
a
l
on
g
w
i
t
h
r
e
a
l
,
o
bj
e
c
t
i
v
e
t
h
i
ngs
.
T
h
e
t
hi
ngs
i
nvo
l
ve
d
i
n
t
h
e
m
e
a
s
ure
m
e
n
t
m
us
t
a
l
s
o
be
e
v
a
l
ua
t
e
d
t
o
s
e
e
how
w
e
l
l
t
h
e
y
s
e
rve
t
he
de
c
i
s
i
on
m
a
k
e
r'
s
goa
l
s
[9]
,
[
10
]
.
T
he
n
t
h
e
re
s
ul
t
s
o
bt
a
i
n
e
d
i
n
s
e
l
e
c
t
i
ng
[11]
e
xe
m
p
l
a
ry
t
e
a
c
he
rs
w
i
l
l
b
e
w
r
i
t
t
e
n
on
a
p
i
e
c
e
o
f
pa
p
e
r
,
w
hi
c
h
i
s
v
ul
n
e
ra
bl
e
t
o
da
m
a
g
e
or
l
os
s
b
e
c
a
us
e
t
h
e
r
e
i
s
no
s
ys
t
e
m
-
b
a
s
e
d
r
e
por
t
t
ha
t
c
a
n
s
t
or
e
t
h
e
ra
nki
ng
of
e
x
e
m
p
l
a
r
y
t
e
a
c
he
rs
.
T
he
a
bs
e
n
c
e
of
a
d
e
c
i
s
i
on
s
up
port
s
ys
t
e
m
(D
S
S
)
c
a
n
c
a
us
e
t
he
pro
c
e
s
s
of
s
e
l
e
c
t
i
ng
e
xe
m
pl
a
ry
t
e
a
c
h
e
rs
t
o
b
e
l
e
s
s
e
ffi
c
i
e
nt
a
nd
a
c
c
ura
t
e
i
n
i
t
s
c
a
l
c
ul
a
t
i
ons
.
W
ha
t
t
h
e
n
ha
p
pe
ns
i
s
t
ha
t
t
h
e
a
bs
e
nc
e
of
a
c
l
e
a
r
re
p
ort
on
t
he
ra
nki
ng
o
f
e
xe
m
pl
a
ry
t
e
a
c
he
rs
m
e
a
ns
t
h
a
t
ot
he
r
t
e
a
c
he
rs
c
a
nnot
know
w
h
o
i
s
c
o
ns
i
d
e
re
d
e
xe
m
pl
a
ry
,
g
i
vi
n
g
ri
s
e
t
o
a
m
b
i
gu
i
t
y
a
nd
a
l
a
c
k
o
f
t
ra
ns
pa
r
e
nc
y
i
n
t
h
i
s
proc
e
s
s
.
T
o
ov
e
rc
om
e
t
h
e
prob
l
e
m
s
t
ha
t
ha
v
e
be
e
n
e
xpl
a
i
n
e
d
,
a
s
ys
t
e
m
i
s
n
e
e
de
d
t
h
a
t
c
a
n
a
s
s
i
s
t
i
n
t
h
e
pro
c
e
s
s
of
s
e
l
e
c
t
i
ng
e
x
e
m
p
l
a
r
y
t
e
a
c
h
e
rs
,
w
hi
c
h
w
i
l
l
be
de
t
e
rm
i
ne
d
by
t
h
e
s
c
h
ool
pri
n
c
i
pa
l
.
T
h
e
s
e
l
e
c
t
i
on
of
e
x
e
m
pl
a
ry
t
e
a
c
h
e
rs
i
n
a
s
c
h
ool
i
s
s
t
i
l
l
s
a
i
d
t
o
b
e
s
ubj
e
c
t
i
ve
,
w
i
t
h
t
he
a
ppo
i
nt
m
e
n
t
of
a
l
e
a
de
r
or
pr
i
nc
i
p
a
l
w
i
t
hout
or
a
c
c
o
m
p
a
ni
e
d
by
s
uppo
rt
fro
m
obj
e
c
t
i
v
e
da
t
a
.
D
e
c
i
s
i
on
s
u
pport
s
ys
t
e
m
a
re
c
om
p
ut
e
r
-
ba
s
e
d
s
ys
t
e
m
s
t
ha
t
s
up
port
d
e
c
i
s
i
on
-
m
a
k
i
ng
a
c
t
i
vi
t
i
e
s
by
provi
d
i
ng
f
l
e
xi
b
l
e
t
oo
l
s
t
o
de
c
i
s
i
on
-
m
a
k
e
rs
[1
2]
.
D
S
S
ha
v
e
b
e
e
n
t
r
a
di
t
i
on
a
l
l
y
i
de
nt
i
fi
e
d
a
s
us
e
fu
l
I
T
t
ool
s
i
n
a
va
ri
e
t
y
of
f
i
e
l
ds
,
i
nc
l
udi
ng
t
h
e
c
on
t
e
x
t
of
c
u
l
t
u
ra
l
h
e
ri
t
a
ge
[
13],
[14]
.
O
ne
o
f
t
he
m
os
t
s
ui
t
a
b
l
e
D
S
S
m
e
t
ho
ds
for
g
i
vi
n
g
e
m
p
l
oy
e
e
(t
e
a
c
h
e
rs
)
a
w
a
rd
i
s
t
o
a
ppl
y
[15
],
[16]
t
h
e
a
na
l
yt
i
c
a
l
hi
e
ra
rc
hy
pr
oc
e
s
s
(A
H
P
)
a
l
go
ri
t
hm
.
T
he
D
S
S
r
e
s
e
a
rc
h
t
r
e
nd
c
a
n
b
e
s
e
e
n
i
n
F
i
g
ure
1
us
i
ng
V
O
S
vi
e
w
e
r
.
T
o
d
e
m
o
ns
t
r
a
t
e
t
h
a
t
t
he
A
H
P
m
e
t
hod
re
m
a
i
ns
e
ff
e
c
t
i
v
e
for
D
S
S
r
e
s
e
a
r
c
h
,
t
h
e
r
e
s
e
a
rc
h
e
r
s
pre
s
e
nt
e
d
t
h
e
r
e
s
ul
t
s
o
f
s
e
ve
r
a
l
s
t
u
di
e
s
i
n
t
he
form
of
a
c
urve
gra
p
h
us
i
ng
P
y
t
hon
,
a
s
s
e
e
n
i
n
F
i
g
ure
2
.
B
a
s
e
d
on
F
i
gu
re
s
1
a
nd
2
,
D
S
S
re
s
e
a
r
c
h
us
i
n
g
t
h
e
A
H
P
m
e
t
hod
w
a
s
c
o
nduc
t
e
d
on
s
c
h
ool
s
i
n
Be
ka
s
i
C
i
t
y
.
F
i
gure
1
.
V
i
os
vi
e
w
e
r
prov
i
de
s
re
s
e
a
r
c
h
on
de
c
i
s
i
on
s
up
port
s
ys
t
e
m
s
F
i
gure
2
.
D
S
S
r
e
s
e
a
rc
h
t
re
n
ds
w
i
t
h
t
h
e
A
H
P
m
e
t
hod
(20
20
-
2
024)
Evaluation Warning : The document was created with Spire.PDF for Python.
Com
pu
t
S
c
i
Inf
T
e
c
h
nol
IS
S
N
:
2722
-
3221
D
e
c
i
s
i
on
m
ak
i
ng
wi
t
h
a
nal
y
t
i
c
a
l
h
i
e
r
ar
c
hy
pr
o
c
e
s
s
a
l
gor
i
t
h
m
and
pr
ot
o
t
y
p
e
m
ode
l
f
or
…
(Sum
ar
d
i
ono)
227
2.
M
ET
H
O
D
Re
s
e
a
rc
h
c
on
duc
t
e
d
a
t
one
o
f
t
he
voc
a
t
i
o
na
l
s
c
h
ool
s
i
n
Be
ka
s
i
Ci
t
y.
W
i
t
h
t
he
i
n
ve
s
t
i
ga
t
i
on
foc
us
on
a
pr
obl
e
m
i
n
s
e
l
e
c
t
i
ng
e
xe
m
pl
a
r
y
t
e
a
c
he
rs
a
t
v
oc
a
t
i
ona
l
s
c
h
ool
s
i
n
Be
ka
s
i
Ci
t
y,
na
m
e
l
y
s
t
i
l
l
re
l
yi
ng
on
da
t
a
w
hi
c
h
c
a
n
be
s
a
i
d
t
o
be
s
ubj
e
c
t
i
ve
(va
g
ue
/
bi
a
s
e
d),
s
o
i
t
i
s
ne
c
e
s
s
a
ry
t
o
c
a
r
ry
out
a
n
d
de
ve
l
op
re
s
e
a
rc
h
i
n
s
e
l
e
c
t
i
ng
e
xe
m
pl
a
r
y
t
e
a
c
he
rs
ba
s
e
d
on
obj
e
c
t
i
ve
(t
ra
ns
pa
re
nt
)
da
t
a
.
P
ro
fe
s
s
i
ona
l
c
onc
e
pt
ua
l
i
z
a
t
i
on
a
s
a
t
e
a
c
he
r
i
s
fe
e
l
i
ng
t
he
m
s
e
l
ve
s
a
s
t
e
a
c
he
rs
f
rom
t
he
pe
rs
pe
c
t
i
ve
of
i
nt
e
rpre
t
i
n
g
t
he
i
r
e
xpe
ri
e
nc
e
s
[1
7]
.
T
hi
s
re
s
e
a
rc
h
w
a
s
c
a
rri
e
d
out
u
s
i
ng
a
q
ua
nt
i
t
a
t
i
ve
a
pproa
c
h
ba
s
e
d
on
a
que
s
t
i
o
nna
i
re
a
c
c
ordi
ng
t
o
p
rot
ot
ype
t
e
s
t
re
s
ul
t
s
o
n
a
w
e
b
-
ba
s
e
d
s
y
s
t
e
m
de
s
i
gn.
Re
ga
rdl
e
s
s
of
ho
w
m
a
ny
fa
c
t
or
s
a
r
e
i
nvol
ve
d
i
n
m
a
ki
ng
t
he
de
c
i
s
i
on,
t
he
A
H
P
m
e
t
hod
onl
y
re
qui
re
s
t
o
c
om
pa
re
a
pa
i
r
of
e
l
e
m
e
nt
s
[18]
or
c
ri
t
e
ri
a
t
o
obt
a
i
n
a
c
on
s
i
s
t
e
nc
y
ra
t
i
o
(CR
)
va
l
ue
.
W
he
n
m
a
k
i
ng
a
de
c
i
s
i
on,
u
s
e
r
s
c
a
n
ut
i
l
i
z
e
t
he
s
e
e
qua
t
i
on
s
t
o
fore
c
a
s
t
t
he
CR
by
i
nt
e
gra
t
i
ng
t
he
m
i
nt
o
A
H
P
s
oft
w
a
r
e
[19]
.
T
he
A
H
P
c
om
bi
ne
s
t
he
qua
l
i
t
a
t
i
ve
a
n
d
qua
nt
i
t
a
t
i
ve
a
na
l
ys
i
s
,
fl
e
xi
bl
e
a
nd
s
y
s
t
e
m
a
t
i
c
a
l
t
o
de
a
l
w
i
t
h
di
ffe
re
nt
ki
nd
s
of
pro
bl
e
m
s
[20]
.
T
he
A
H
P
m
e
t
hod
[21]
c
ons
i
s
t
s
of
s
e
ve
ra
l
s
t
e
ps
,
i
nc
l
udi
ng
de
fi
ni
ng
a
hi
e
ra
rc
hi
c
a
l
de
c
i
s
i
o
n
s
t
r
uc
t
ure
,
pe
r
form
i
ng
a
c
om
pa
ri
s
o
n
of
c
ri
t
e
ri
a
a
n
d
a
l
t
e
rna
t
i
ve
s
u
s
i
ng
f
uz
z
y
num
be
rs
,
c
a
l
c
ul
a
t
i
ng
f
uz
z
y
s
ynt
he
t
i
c
va
l
ue
s
,
a
nd
t
he
n
pri
ori
t
i
z
i
ng
c
ri
t
e
ri
a
a
nd
a
l
t
e
rna
t
i
ve
s
[22
]
.
A
H
P
i
s
a
t
e
c
h
ni
que
for
a
na
l
yz
i
ng
c
om
pl
e
x
de
c
i
s
i
on
s
,
i
nvol
vi
ng
i
ndi
vi
dua
l
w
e
i
g
ht
e
d
c
a
l
c
ul
a
t
i
ons
t
h
rough
pa
i
rw
i
s
e
c
om
pa
ri
s
on
s
[23
]
.
Re
s
e
a
rc
h
i
n
t
hi
s
s
c
hool
a
i
m
s
t
o
a
ns
w
e
r
t
he
pr
obl
e
m
t
ha
t
oc
c
urs
,
na
m
e
l
y
s
e
l
e
c
t
i
ng
e
xe
m
pl
a
ry
t
e
a
c
he
rs
ba
s
e
d
o
n
da
t
a
,
a
s
i
n
t
he
re
s
e
a
rc
h
fl
ow
i
n
F
i
gure
3
.
F
i
gure
3
.
R
e
s
e
a
rc
h
f
l
ow
T
he
r
e
s
e
a
rc
h
m
e
t
hod
c
a
rr
i
e
d
o
ut
by
t
he
r
e
s
e
a
r
c
h
e
r
i
s
a
q
ua
nt
i
t
a
t
i
ve
a
ppro
a
c
h
,
w
hi
c
h
e
x
pl
a
i
ns
a
pi
c
t
ure
w
i
t
h
t
h
e
s
uppor
t
of
d
a
t
a
ob
t
a
i
ne
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fro
m
re
s
po
nde
n
t
s
.
T
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s
ur
ve
y
a
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q
ue
s
t
i
onn
a
i
r
e
w
e
re
d
e
s
i
gn
e
d
w
i
t
h
s
t
ude
n
t
s
'
ne
e
ds
,
r
e
qu
i
re
m
e
nt
s
,
a
n
d
pr
e
fe
rre
d
l
e
ve
l
of
qu
a
l
i
t
y
f
or
on
l
i
n
e
l
e
a
rn
i
ng
[2
4]
.
T
o
c
a
rry
out
t
h
i
s
a
ppr
o
a
c
h
,
t
h
e
re
s
e
a
r
c
he
r
us
e
d
s
ys
t
e
m
de
v
e
l
op
m
e
nt
w
i
t
h
a
prot
ot
ype
m
ode
l
,
n
a
m
e
l
y
t
he
pr
obl
e
m
a
na
l
ys
i
s
s
t
a
ge
,
de
s
i
gn
a
n
d
i
m
pl
e
m
e
nt
a
t
i
on
s
t
a
ge
,
a
nd
e
va
l
ua
t
i
o
n
s
t
a
g
e
t
o
obt
a
i
n
t
he
e
xp
e
c
t
e
d
s
ys
t
e
m
a
nd
s
i
m
ul
a
t
e
i
t
w
i
t
h
r
e
s
pond
e
nt
s
i
n
a
pro
t
ot
y
pe
.
T
he
p
rot
o
t
yp
e
m
ode
l
[25]
i
s
a
s
oft
w
a
re
de
v
e
l
o
pm
e
nt
m
e
t
hod
t
h
a
t
i
s
w
i
d
e
l
y
us
e
d
be
c
a
us
e
d
e
v
e
l
op
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rs
a
nd
c
us
t
o
m
e
rs
c
a
n
i
nt
e
ra
c
t
w
i
t
h
e
a
c
h
ot
h
e
r
dur
i
ng
t
h
e
a
pp
l
i
c
a
t
i
on
c
re
a
t
i
on
proc
e
s
s
[26]
.
W
i
t
h
t
he
pr
ot
o
t
ypi
n
g
t
e
c
hn
i
que
,
de
ve
l
ope
rs
c
a
n
c
re
a
t
e
a
prot
ot
yp
e
fi
rs
t
b
e
for
e
de
v
e
l
opi
n
g
t
he
a
c
t
ua
l
s
ys
t
e
m
[27
]
.
3.
R
ES
U
LTS
A
N
D
D
I
S
C
U
S
S
I
O
N
T
hi
s
s
t
ud
y
us
e
s
a
de
s
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r
i
p
t
i
v
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-
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a
nt
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t
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t
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b
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m
w
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A
H
P
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l
gor
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t
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m
t
o
s
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l
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c
t
t
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x
e
m
p
l
a
r
y
t
e
a
c
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e
rs
.
O
bs
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r
va
t
i
ons
a
t
a
vo
c
a
t
i
on
a
l
s
c
h
ool
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n
B
e
ka
s
i
s
how
e
d
t
h
a
t
t
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pre
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ous
s
e
l
e
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t
i
on
pro
c
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on
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ra
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i
on
w
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t
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u
l
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t
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ons
,
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o
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or
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ru
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ur
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ys
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e
m
i
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e
d
e
d
.
T
he
re
for
e
,
r
e
s
e
a
rc
h
i
nt
o
t
h
i
s
i
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ue
i
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n
e
c
e
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ry
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o
t
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a
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a
n
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t
t
he
i
r
t
e
a
c
hi
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t
i
v
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t
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s
w
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t
h
a
s
e
ns
e
o
f
r
e
s
pons
i
b
i
l
i
t
y.
In
t
he
da
t
a
c
ol
l
e
c
t
i
on
s
t
a
ge
s
t
he
re
s
e
a
rc
he
rs
us
e
d
l
i
t
e
ra
t
u
re
s
t
udy,
obs
e
r
va
t
i
on,
a
nd
i
nt
e
rvi
e
w
s
[28]
–
[30]
,
t
o
obt
a
i
n
a
l
i
s
t
of
t
e
a
c
he
rs
w
ho
w
e
re
u
s
e
d
a
s
s
a
m
pl
e
s
for
t
hi
s
re
s
e
a
rc
h.
T
he
s
e
c
ri
t
e
ri
a
a
re
pos
i
t
i
ve
va
l
ue
s
for
c
ons
i
de
ra
t
i
on,
i
nc
l
udi
ng
t
he
e
c
onom
i
c
a
nd
fi
na
nc
i
a
l
c
a
pa
bi
l
i
t
i
e
s
o
f
t
he
s
c
hol
a
r
s
hi
p
re
c
i
pi
e
nt
,
a
c
a
de
m
i
c
gra
de
s
f
rom
t
he
l
e
ve
l
o
f
e
duc
a
t
i
on,
a
n
d
ot
he
r
a
c
hi
e
ve
m
e
nt
s
[31
]
.
T
he
s
t
u
dy
a
i
m
e
d
t
o
de
t
e
rm
i
ne
t
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fi
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ode
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t
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rs
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c
t
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by
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pl
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r
c
ha
ra
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i
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nt
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rpe
r
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vi
t
y,
a
nd
orga
ni
z
a
t
i
o
na
l
c
l
i
m
a
t
e
[32]
.
H
ow
e
ve
r,
i
n
t
hi
s
s
t
ud
y
t
he
re
a
re
5
c
ri
t
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ri
a
i
n
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2722
-
3221
Com
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Inf
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c
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V
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6
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25
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225
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228
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[33
]
,
t
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5
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2
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1
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D
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In
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a
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(1
)
.
=
|
1
2
3
4
5
1
2
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5
1
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4
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|
(1)
from
T
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1,
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F
i
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4
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i
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4
.
D
e
c
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s
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on
m
a
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x
(X
)
Evaluation Warning : The document was created with Spire.PDF for Python.
Com
pu
t
S
c
i
Inf
T
e
c
h
nol
IS
S
N
:
2722
-
3221
D
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c
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m
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IS
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3221
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IS
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2722
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3221
Com
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Inf
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2722
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3221
D
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(Sum
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233
[1
9
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