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p
r
ices.
Fra
ctal
g
eo
m
etr
y
a
n
al
y
s
i
s
h
as
b
ee
n
also
ap
p
lied
t
o
s
tu
d
y
th
e
m
o
r
p
h
o
lo
g
y
a
n
d
p
o
p
u
latio
n
g
r
o
w
t
h
o
f
cities,
an
d
elec
tr
icit
y
d
e
m
an
d
r
elate
d
to
th
e
d
e
m
o
g
r
ap
h
y
o
f
citie
s
.
I
n
[
15]
,
a
m
u
l
tif
r
ac
tal
an
al
y
s
is
i
s
u
s
ed
to
f
o
r
ec
ast
elec
tr
icit
y
d
e
m
a
n
d
,
ex
p
lai
n
i
n
g
th
at
t
w
o
f
r
ac
tals
ar
e
f
o
u
n
d
t
h
at
r
ef
lect
th
e
b
eh
a
v
io
u
r
p
atter
n
o
f
p
o
w
er
d
e
m
an
d
.
T
w
o
co
n
ce
p
ts
l
in
k
ed
to
f
r
ac
ta
l
g
eo
m
etr
y
ar
e
f
r
ac
tal
i
n
ter
p
o
latio
n
a
n
d
e
x
tr
ap
o
latio
n
,
w
h
ic
h
ar
e
r
elate
d
to
t
h
e
r
eso
lu
tio
n
o
f
a
f
r
ac
tal
-
en
co
d
e
d
im
a
g
e.
I
n
[
1
6
]
,
an
alg
o
r
ith
m
is
u
s
ed
to
f
o
r
ec
ast
t
h
e
elec
tr
ic
ch
ar
g
e
i
n
w
h
ic
h
f
r
ac
tal
i
n
ter
p
o
latio
n
an
d
e
x
tr
a
p
o
latio
n
ar
e
also
in
v
o
lv
ed
;
f
o
r
th
e
f
o
r
ec
ast
d
ata
s
et,
th
e
av
e
r
ag
e
r
elativ
e
er
r
o
r
s
ar
e
o
n
l
y
2
.
3
0
3
% a
n
d
2
.
2
9
6
%,
r
esp
ec
tiv
el
y
,
i
n
d
icati
n
g
th
at
th
e
alg
o
r
ith
m
h
a
s
ad
v
a
n
ta
g
es i
n
i
m
p
r
o
v
i
n
g
f
o
r
ec
ast
ac
cu
r
ac
y
.
I
n
[
1
7
]
,
a
s
lo
tted
i
s
in
tr
o
d
u
ce
d
at
ea
ch
o
f
t
h
e
r
ad
iati
n
g
e
le
m
en
ts
o
n
th
e
1
s
t
iter
atio
n
lo
g
p
er
io
d
ic
f
r
ac
tal
Ko
ch
an
te
n
n
a
(
L
P
FK
A
)
.
T
h
e
an
ten
n
a
is
d
esig
n
ed
to
test
if
y
t
h
e
ap
p
r
o
p
r
iate
p
e
r
f
o
r
m
an
ce
at
UHF
Dig
ital
tele
v
is
io
n
w
h
ic
h
o
p
er
ates
f
r
o
m
4
.
0
GHz
to
1
.
0
GHz
.
T
h
e
d
i
m
e
n
s
io
n
o
f
t
h
e
co
n
v
e
n
tio
n
al
0
t
h
i
ter
atio
n
L
P
KF
A
is
s
u
cc
es
s
f
u
ll
y
r
ed
u
ce
d
b
y
1
7
%
w
ith
t
h
e
i
m
p
le
m
en
tatio
n
o
f
s
lo
tted
.
T
h
e
r
e
s
u
lt
s
s
h
o
w
a
g
o
o
d
ag
r
ee
m
e
n
t
w
it
h
a
s
tab
le
r
ad
iatio
n
p
atter
n
ac
r
o
s
s
th
e
o
p
er
atin
g
b
an
d
w
id
t
h
,
s
tab
le
g
ai
n
m
o
r
e
th
an
5
d
B
i
an
d
r
ef
lectio
n
co
e
f
f
ic
ien
t o
f
b
elo
w
-
1
0
d
B
o
v
er
th
e
d
esire
d
f
r
eq
u
en
c
y
r
a
n
g
e.
Fin
all
y
i
n
[
1
8
]
a
m
u
ltib
a
n
d
an
d
m
i
n
iat
u
r
e
r
ec
tan
g
u
lar
m
icr
o
s
tr
ip
an
te
n
n
a
is
d
esi
g
n
ed
a
n
d
an
al
y
ze
d
f
o
r
R
ad
io
Fre
q
u
en
c
y
I
d
en
tif
icatio
n
(
R
FID
)
r
ea
d
er
ap
p
licatio
n
s
.
T
h
e
m
i
n
iat
u
r
izatio
n
is
ac
h
ie
v
ed
u
s
i
n
g
f
r
ac
tal
tec
h
n
iq
u
e
an
d
th
e
p
h
y
s
ical
p
ar
a
m
e
ter
s
o
f
t
h
e
s
tr
u
ctu
r
e
as
w
el
l
as
its
g
r
o
u
n
d
p
lan
e
ar
e
o
p
tim
ized
u
s
i
n
g
C
ST
Mic
r
o
w
a
v
e
St
u
d
io
.
T
h
e
to
tal
ar
ea
o
f
th
e
f
in
a
l
s
t
r
u
ctu
r
e
is
7
1
.
6
x
9
4
2
.
T
h
e
r
es
u
lts
s
h
o
w
th
a
t
th
e
p
r
o
p
o
s
ed
an
ten
n
a
h
a
s
g
o
o
d
m
atc
h
i
n
g
i
n
p
u
t
i
m
p
ed
an
ce
w
it
h
a
s
tab
le
r
ad
iatio
n
p
att
er
n
at
9
1
5
MH
z,
2
.
4
5
GHz
,
an
d
5
.
8
GHz
.
I
n
th
e
liter
at
u
r
e
r
ev
ie
w
ed
t
h
er
e
ar
e
n
o
p
ap
er
s
f
o
cu
s
e
d
o
n
th
e
d
ail
y
r
ea
l
an
d
r
ea
c
tiv
e
p
o
w
er
co
n
s
u
m
p
tio
n
b
ased
o
n
t
h
e
to
p
o
lo
g
ical
p
r
o
p
er
ties
o
f
th
e
J
u
l
i
a
s
ets.
T
h
er
e
ar
e
n
o
g
r
ap
h
ica
l
an
al
y
s
es
th
at
s
h
o
w
th
e
b
eh
a
v
io
u
r
o
f
t
h
e
s
y
s
te
m
b
y
o
b
s
er
v
i
n
g
d
if
f
er
e
n
t
f
r
ac
tal
p
atter
n
s
.
Mo
s
t
s
t
u
d
ies
o
n
f
r
ac
tals
ar
e
f
o
cu
s
ed
o
n
o
th
er
t
y
p
es
o
f
ap
p
licatio
n
s
s
u
ch
as
m
ed
ici
n
e,
b
io
lo
g
y
,
co
m
m
u
n
icat
io
n
s
,
elec
tr
o
n
ics,
lead
in
g
to
an
i
m
p
o
r
tan
t
o
p
p
o
r
tu
n
it
y
to
p
er
f
o
r
m
th
e
s
t
u
d
y
o
n
p
o
w
er
s
y
s
te
m
s
.
I
n
ad
d
itio
n
,
th
e
ch
ar
ac
ter
is
tics
o
f
t
h
e
r
ea
l
an
d
r
ea
ctiv
e
p
o
w
er
s
ar
e
n
o
t
a
n
al
y
s
ed
in
d
ep
th
b
y
ap
p
l
y
i
n
g
f
r
ac
tal
g
eo
m
etr
y
,
co
n
cl
u
d
in
g
th
at
t
h
ese
tech
n
iq
u
es
ar
e
n
o
t
co
m
m
o
n
l
y
u
s
ed
to
s
tu
d
y
t
h
e
d
if
f
er
en
t
p
o
w
er
co
n
s
u
m
p
t
io
n
.
T
h
er
ef
o
r
e,
th
is
p
ap
er
s
t
u
d
ies
a
t
y
p
ical
lo
ad
d
em
a
n
d
c
u
r
v
e
o
f
a
n
e
lectr
ic
p
o
w
er
s
y
s
te
m
w
it
h
t
h
e
f
r
ac
tal
t
h
eo
r
y
o
f
J
u
lia
s
et
s
.
T
h
e
g
r
ap
h
ic
s
t
u
d
y
f
o
c
u
s
es
o
n
d
eter
m
in
i
n
g
th
e
c
h
ar
ac
ter
is
tic
s
th
at
t
h
e
f
r
ac
tal
d
ia
g
r
a
m
s
cr
ea
ted
f
r
o
m
J
u
lia
s
et
s
r
elate
d
w
it
h
t
h
e
co
m
p
le
x
n
u
m
b
er
s
o
f
r
ea
l
an
d
r
ea
ctiv
e
p
o
w
er
s
a
n
d
s
ee
k
i
n
g
f
o
r
o
th
er
g
r
ap
h
ical
p
at
ter
n
s
o
f
th
e
l
o
a
d
d
em
an
d
cu
r
v
e.
Fo
r
th
i
s
r
ea
s
o
n
,
th
i
s
w
o
r
k
p
r
o
p
o
s
es
th
e
f
o
llo
w
i
n
g
h
y
p
o
th
esis
:
T
h
e
lo
ad
d
e
m
an
d
c
u
r
v
e
h
as
a
clea
r
f
r
ac
ta
l
p
atter
n
o
b
tain
ed
f
r
o
m
th
e
J
u
lia
s
ets,
w
h
ic
h
allo
w
s
to
ch
a
r
ac
ter
ize
th
e
co
n
s
u
m
p
tio
n
b
e
h
av
io
u
r
.
T
h
e
m
ai
n
co
n
tr
ib
u
tio
n
o
f
t
h
is
ar
ticle
i
s
r
elate
d
to
th
e
d
ev
elo
p
m
e
n
t
o
f
a
n
e
w
m
et
h
o
d
o
lo
g
y
,
as
a
co
m
p
le
m
e
n
t
to
th
o
s
e
f
o
u
n
d
i
n
li
ter
atu
r
e,
w
h
ic
h
allo
w
s
to
c
h
ar
ac
ter
ize
t
h
e
d
ail
y
l
o
ad
d
em
a
n
d
c
u
r
v
e.
T
h
is
p
ap
er
co
n
f
ir
m
s
t
h
at
t
h
e
d
en
s
it
y
o
f
th
e
f
o
ld
s
i
n
t
h
e
J
u
l
i
a
s
ets
r
e
v
ea
l
t
h
e
tr
an
s
iti
v
it
y
i
n
th
e
elec
tr
ic
p
o
w
er
co
n
s
u
m
p
ti
o
n
r
eg
is
ter
s
,
w
h
ich
is
r
elate
d
to
th
e
ir
r
eg
u
lar
it
y
o
f
th
e
h
o
u
r
l
y
co
n
s
u
m
p
tio
n
.
E
v
e
n
tu
a
ll
y
,
t
h
e
f
r
ac
tal
to
p
o
lo
g
y
t
h
at
is
o
b
tain
ed
f
r
o
m
th
e
J
u
lia
s
et
s
r
ef
lec
ts
w
h
en
t
h
e
lo
ad
is
in
d
u
cti
v
e
o
r
ca
p
ac
itiv
e
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
T
h
is
m
et
h
o
d
o
lo
g
y
is
b
ased
o
n
co
n
s
tr
u
c
tin
g
a
n
alg
o
r
it
h
m
th
at
al
lo
w
s
a
n
an
al
y
s
i
s
o
f
t
h
e
f
r
ac
ta
l
d
iag
r
a
m
s
ap
p
lied
to
t
h
e
t
y
p
ic
al
lo
ad
d
e
m
a
n
d
cu
r
v
e.
B
elo
w
,
th
i
s
s
ec
tio
n
s
h
o
w
s
th
e
g
e
n
er
al
p
r
o
ce
d
u
r
e
an
d
th
e
alg
o
r
it
h
m
s
i
m
p
le
m
e
n
ted
to
o
b
tain
th
e
Ma
n
d
elb
r
o
t
an
d
J
u
lia
s
et
s
,
w
h
ic
h
ar
e
u
s
e
f
u
l
to
o
ls
to
g
r
ap
h
f
r
ac
tals
f
r
o
m
t
h
e
co
m
p
lex
n
u
m
b
er
s
r
el
ated
to
th
e
lo
ad
d
em
an
d
.
2
.
1
.
G
ener
a
l pro
ce
du
re
Fig
u
r
e
1
p
r
ese
n
ts
a
s
tep
-
by
-
s
tep
p
r
o
ce
d
u
r
e
ap
p
lied
to
g
r
ap
h
t
h
e
f
r
ac
tal
d
ia
g
r
a
m
s
f
r
o
m
t
h
e
lo
ad
d
em
a
n
d
w
it
h
t
h
e
Ma
n
d
elb
r
o
t
an
d
J
u
lia
s
et
s
.
T
h
is
f
ig
u
r
e
s
h
o
w
s
th
a
t
th
e
f
ir
s
t
s
tep
(
P
1
)
is
to
co
n
v
er
t
th
e
in
it
ial
d
ata
to
m
a
n
a
g
e
t
h
e
p
r
o
ce
d
u
r
e
to
th
e
Ma
n
d
elb
r
o
t
an
d
J
u
li
a
alg
o
r
it
h
m
s
.
Ne
x
t,
t
h
e
Ma
n
d
elb
r
o
t
alg
o
r
ith
m
i
s
p
r
o
g
r
am
m
ed
ac
co
r
d
in
g
to
th
e
m
at
h
e
m
atica
l
t
h
eo
r
y
(
P
2
)
to
g
e
n
er
ate
a
n
e
w
d
ata
s
et.
B
esid
es,
t
h
e
J
u
l
ia
alg
o
r
ith
m
is
al
s
o
p
r
o
g
r
am
m
e
d
to
p
er
f
o
r
m
t
h
e
g
e
n
er
atio
n
o
f
th
e
n
e
w
s
e
t
s
,
b
ased
o
n
th
e
Ma
n
d
elb
r
o
t
s
et.
W
ith
th
e
s
e
d
ata
s
ets,
i
t
is
p
o
s
s
ib
le
to
p
lo
t
th
e
d
if
f
er
e
n
t
f
r
ac
tals
(
P
4
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w
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t r
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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&
C
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p
E
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g
I
SS
N:
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2833
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u
r
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=
(
)
=
2
+
.
(
1
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
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m
p
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n
g
,
Vo
l.
9
,
No
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4
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A
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0
1
9
:
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8
3
1
-
2839
2834
Fro
m
th
e
ter
m
,
a
s
u
cc
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v
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ec
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r
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ed
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it
h
0
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as
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itia
l
ter
m
.
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f
th
i
s
s
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cc
e
s
s
i
v
e
r
ec
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r
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d
i
m
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n
s
io
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t
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en
th
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ter
m
b
elo
n
g
s
to
th
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Ma
n
d
elb
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et;
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f
n
o
t,
th
e
n
th
e
y
ar
e
ex
clu
d
ed
.
T
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o
r
e,
Fi
g
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r
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2
s
h
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n
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lac
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ca
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“
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u
r
e
2
.
Gr
ap
h
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lia
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ls
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as t
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la
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e,
ar
e
s
tu
d
ied
in
t
h
e
Ma
n
d
e
lb
r
o
t
s
et
an
d
r
ela
ted
to
th
o
s
e
p
o
in
ts
cr
ea
ted
f
o
r
th
e
J
u
lia
s
et
s
as e
x
p
lain
ed
i
n
t
h
e
f
o
llo
w
i
n
g
s
ec
tio
n
s
.
2
.
4
.
Alg
o
rit
h
m
t
o
cr
ea
t
e
t
he
J
uli
a
s
et
s
A
t
t
h
e
b
eg
i
n
n
i
n
g
o
f
th
e
t
w
e
n
ti
eth
ce
n
t
u
r
y
,
m
at
h
e
m
aticia
n
s
Gastó
n
J
u
lia
a
n
d
P
ier
r
e
Fato
u
d
ev
elo
p
ed
f
r
ac
tal
s
et
s
o
b
ta
in
ed
b
y
i
ter
ati
n
g
co
m
p
lex
n
u
m
b
er
s
.
T
h
e
J
u
li
a
s
ets
o
f
a
h
o
lo
m
o
r
p
h
ic
f
u
n
cti
o
n
is
co
n
s
tit
u
ted
b
y
t
h
o
s
e
p
o
in
t
s
th
a
t
u
n
d
er
th
e
iter
atio
n
o
f
h
av
e
a
ch
ao
ti
c
b
eh
av
io
u
r
,
an
d
ea
c
h
p
o
in
t
o
f
th
e
s
e
t
f
o
r
m
s
a
d
if
f
er
e
n
t
s
et
th
at
is
t
h
en
d
en
o
ted
b
y
(
)
.
T
h
e
Fato
u
s
et
co
n
s
i
s
ts
o
f
t
h
e
p
o
in
ts
t
h
at
h
a
v
e
a
s
tab
le
b
eh
av
io
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
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p
E
n
g
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N:
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8708
F
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b
a
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2835
w
h
e
n
th
e
y
ar
e
iter
ated
.
T
h
e
Fato
u
s
et
o
f
a
h
o
lo
m
o
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p
h
ic
f
u
n
ct
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n
is
d
en
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b
y
(
)
an
d
it
is
a
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m
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le
m
e
n
t
of
(
)
.
A
n
i
m
p
o
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ta
n
t
f
a
m
il
y
o
f
t
h
e
J
u
lia
s
ets
is
o
b
tain
ed
f
r
o
m
th
e
s
i
m
p
le
q
u
ad
r
at
ic
f
u
n
c
tio
n
s
;
f
o
r
ex
a
m
p
le,
+
1
=
(
)
=
2
+
,
w
h
er
e
is
a
co
m
p
lex
n
u
m
b
er
.
T
h
e
v
alu
e
s
o
b
tain
ed
f
r
o
m
th
i
s
f
u
n
ctio
n
ar
e
d
en
o
ted
,
w
it
h
p
o
in
ts
o
f
o
b
tain
ed
f
r
o
m
t
h
e
p
ar
a
m
eter
th
at
b
elo
n
g
to
t
h
e
J
u
lia
s
et
s
.
Oth
er
p
o
in
ts
o
b
tain
e
d
d
u
r
in
g
th
e
iter
atio
n
ar
e
ex
cl
u
d
ed
f
r
o
m
t
h
e
J
u
lia
s
ets as t
h
e
y
t
en
d
to
in
f
in
i
t
y
.
Fo
r
ex
a
m
p
le
in
F
ig
u
r
e
3
,
th
e
co
m
p
le
x
n
u
m
b
er
=
0
.
3
0
+
0
.
2
1
i
lies
w
it
h
in
t
h
e
M
s
et
a
n
d
p
r
o
d
u
ce
s
J
u
lia
s
ets
o
f
co
n
n
ec
ted
p
o
in
t
s
r
ep
r
esen
ted
in
b
lack
,
an
d
th
e
p
o
in
ts
t
h
at
g
o
to
in
f
in
i
t
y
ar
e
r
ep
r
esen
ted
in
d
if
f
er
e
n
t
co
lo
r
s
ac
co
r
d
in
g
to
t
h
e
n
u
m
b
er
o
f
iter
atio
n
s
n
ec
e
s
s
ar
y
to
e
s
ca
p
e.
Ho
w
e
v
er
,
as
s
h
o
w
n
in
Fi
g
u
r
e
4
,
th
e
co
m
p
le
x
n
u
m
b
er
C
=
0
.
4
0
+
0
.
1
5
i
lies
o
n
th
e
b
o
u
n
d
ar
y
o
f
t
h
e
M
s
et
a
n
d
p
r
o
d
u
ce
s
a
J
u
lia
s
et
o
f
p
o
in
t
s
th
at
ar
e
p
ar
tiall
y
co
n
n
ec
ted
a
n
d
d
is
tr
ib
u
ted
i
n
d
i
f
f
er
en
t
s
u
b
g
r
o
u
p
s
.
Fi
n
all
y
,
F
ig
u
r
e
5
s
h
o
w
s
a
co
m
p
lete
J
u
lia
s
ets o
f
t
h
e
co
m
p
le
x
n
u
m
b
er
C
=
0
.
5
0
+
0
.
2
1
i,
lo
ca
ted
o
u
ts
id
e
o
f
th
e
M
s
et.
(
a)
(
b
)
Fig
u
r
e
3
.
Fra
ctal
d
iag
r
a
m
s
w
h
en
C
i
s
in
s
id
e
th
e
M
s
et
,
(
a)
M
s
et
,
(
b
)
J
s
et
(
a)
(
b
)
Fig
u
r
e
4
.
Fra
cta
l d
iag
r
a
m
s
w
h
en
C
i
s
in
t
h
e
b
o
u
n
d
ar
y
o
f
th
e
M
s
et
,
(
a)
M
s
et
,
(
b
)
J
s
et
(
a)
(
b
)
Fig
u
r
e
5
.
Fra
ctal
d
iag
r
a
m
s
w
h
en
C
i
s
o
u
ts
id
e
o
f
M
s
et
,
(
a)
M
s
et
,
(
b
)
J
s
et
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
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p
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n
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9
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A
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2839
2836
I
n
s
u
m
m
ar
y
,
t
h
er
e
ar
e
th
r
ee
ty
p
e
s
o
f
J
u
lia
s
et
s
:
t
h
e
f
ir
s
t
s
et
is
f
o
r
m
ed
b
y
co
n
n
ec
ted
p
o
in
ts
th
at
ar
e
o
b
tain
ed
w
h
en
t
h
e
co
m
p
le
x
n
u
m
b
er
is
in
s
id
e
o
f
th
e
Ma
n
d
elb
r
o
t
s
et;
th
e
s
ec
o
n
d
s
e
t
is
f
o
r
m
ed
b
y
p
ar
tiall
y
co
n
n
ec
ted
p
o
in
ts
th
at
ar
e
o
b
t
ain
ed
w
h
en
t
h
e
co
m
p
le
x
n
u
m
b
er
is
th
e
b
o
u
n
d
ar
y
o
f
th
e
Ma
n
d
elb
r
o
t
s
et;
an
d
th
e
th
ir
d
s
et
is
f
o
r
m
ed
b
y
n
o
n
-
co
n
n
ec
ted
p
o
in
ts
w
h
en
th
e
co
n
s
ta
n
t
is
o
u
ts
i
d
e
o
f
th
e
Ma
n
d
elb
r
o
t
s
et,
r
esu
lti
n
g
in
in
f
i
n
ite
co
llectio
n
s
o
f
is
o
lated
p
o
in
t
s
w
it
h
n
o
d
is
ce
r
n
ib
le
p
atter
n
.
An
i
m
p
o
r
tan
t
r
elatio
n
b
et
w
ee
n
th
e
Ma
n
d
elb
r
o
t
an
d
J
u
lia
s
et
s
is
g
i
v
en
w
h
e
n
p
o
in
t
b
elo
n
g
s
to
th
e
Ma
n
d
elb
r
o
t
s
et;
th
e
n
,
th
e
J
u
lia
s
et
(
)
ob
tain
a
s
er
ie
s
o
f
p
o
in
t
s
t
h
at
ar
e
co
n
n
ec
ted
.
On
th
e
o
t
h
er
s
id
e,
w
h
e
n
t
h
e
p
o
in
t
d
o
es
n
o
t
b
elo
n
g
to
th
e
Ma
n
d
elb
r
o
t set,
th
e
J
u
l
ia
s
et
(
)
is
f
o
r
m
ed
b
y
n
o
n
-
co
n
n
ec
te
d
p
o
in
ts
.
On
e
p
r
o
p
er
t
y
o
f
t
h
e
Ma
n
d
elb
r
o
t
s
et
i
s
t
h
at
th
e
d
if
f
er
e
n
t
t
y
p
e
s
o
f
J
u
lia
s
et
s
a
r
e
d
is
tr
ib
u
ted
i
n
d
i
f
f
er
e
n
t
r
eg
io
n
s
o
f
t
h
e
s
et
.
Fo
r
all
t
h
e
ab
o
v
e,
it
is
co
n
cl
u
d
ed
th
at
in
Fig
u
r
e
5
,
1
is
i
n
t
h
e
s
et
o
f
an
d
2
is
n
o
t
i
n
th
e
s
e
t.
I
n
g
e
n
er
al,
f
o
r
an
y
p
o
in
t
w
i
th
i
n
t
h
e
ca
r
d
io
id
o
r
its
b
o
u
n
d
ar
y
,
t
h
e
J
u
lia
s
et
o
f
(
)
h
a
s
p
o
in
ts
th
a
t
ar
e
co
n
n
ec
ted
.
T
h
e
m
o
s
t
in
te
r
esti
n
g
v
al
u
es
ar
e
th
o
s
e
n
ea
r
th
e
b
o
u
n
d
ar
y
o
f
th
e
Ma
n
d
e
lb
r
o
t
s
et
b
ec
au
s
e
th
e
p
o
in
ts
ca
n
b
e
tr
an
s
f
o
r
m
ed
f
r
o
m
co
n
n
ec
ted
p
o
in
ts
to
n
o
n
-
co
n
n
ec
ted
p
o
in
ts
.
2
.
5
.
Alg
o
rit
h
m
t
o
s
t
ud
y
t
he
f
ra
ct
a
ls
o
f
po
w
er
de
m
a
n
d
I
n
o
r
d
er
t
o
o
b
ta
in
th
e
r
esu
lts
o
f
th
e
f
r
ac
tal
to
p
o
lo
g
y
p
atte
r
n
s
th
a
t
r
ep
r
esen
t
th
e
r
ea
l
an
d
r
ea
ctiv
e
p
o
w
er
d
e
m
an
d
cu
r
v
es,
t
h
e
p
r
o
ce
d
u
r
e
s
h
o
w
n
in
F
ig
u
r
e
6
.
Fig
u
r
e
6
.
A
l
g
o
r
ith
m
w
it
h
t
h
e
s
tep
s
u
s
ed
to
o
b
tain
th
e
f
r
ac
tal
o
f
th
e
p
o
w
er
d
e
m
a
n
d
T
h
e
in
itial
p
r
o
ce
s
s
s
tar
s
r
e
ad
i
n
g
d
ata
o
f
t
h
e
p
o
w
er
b
ase
an
d
th
e
r
ea
l
a
n
d
r
ea
ctiv
e
p
o
w
er
s
,
f
o
llo
w
e
d
b
y
t
h
e
ca
lcu
latio
n
o
f
ea
ch
p
er
u
n
i
t
v
alu
e.
I
n
th
i
s
ca
s
e,
th
e
a
n
d
cu
r
v
es
w
it
h
r
esp
ec
t
to
th
e
ti
m
e
ar
e
p
lo
tted
to
r
ep
r
esen
t
t
h
e
p
o
w
er
d
e
m
a
n
d
d
u
r
in
g
th
e
d
a
y
.
Ne
x
t,
t
h
e
s
et
i
s
ca
lc
u
lated
a
n
d
u
s
ed
t
o
p
lo
t
th
e
f
r
ac
tal
d
iag
r
a
m
.
No
w
,
t
h
e
r
ea
l
an
d
r
ea
ctiv
e
p
o
w
er
s
o
f
ea
ch
p
o
in
t
in
th
e
lo
ad
d
em
a
n
d
cu
r
v
e
ar
e
s
c
aled
in
t
o
th
e
s
et
an
d
u
s
ed
to
o
b
tain
t
h
e
s
ets.
T
h
en
,
th
e
s
et
s
ar
e
p
lo
tted
in
t
o
f
r
ac
tal
d
iag
r
a
m
s
to
an
al
y
s
e
q
u
alitati
v
el
y
t
h
ei
r
g
eo
m
etr
ie
s
.
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
Fig
u
r
e
7
p
r
esen
t
s
t
h
e
t
y
p
ical
d
em
a
n
d
c
u
r
v
e
s
p
lo
tted
w
it
h
t
h
e
d
ata
o
f
T
ab
le
1
an
d
Fig
u
r
e
8
p
r
esen
ts
th
e
p
o
w
er
d
e
m
a
n
d
p
lo
tted
in
t
h
e
f
ir
s
t q
u
ad
r
an
t o
f
th
e
co
m
p
l
ex
p
lan
e.
A
s
r
ea
l a
n
d
r
ea
ctiv
e
p
o
w
er
s
ar
e
p
o
s
itiv
e,
th
e
y
r
ep
r
esen
t
a
lo
ad
co
n
s
u
m
p
tio
n
r
elate
d
to
i
n
d
u
cti
v
e
e
le
m
e
n
ts
.
U
n
d
er
th
e
s
e
co
n
d
iti
o
n
s
,
t
h
e
th
r
ee
m
o
s
t
in
ter
esti
n
g
v
al
u
es
o
f
t
h
e
p
o
w
e
r
co
n
s
u
m
p
tio
n
ar
e
s
e
lecte
d
s
u
ch
as
t
h
e
lo
w
est
co
n
s
u
m
p
tio
n
at
3
:0
0
,
th
e
h
ig
h
e
s
t
co
n
s
u
m
p
tio
n
at
1
9
:0
0
,
an
d
th
e
ap
p
r
o
x
im
a
te
av
er
a
g
e
co
n
s
u
m
p
tio
n
at
0
9
:0
0
.
Oth
er
h
o
u
r
s
o
f
th
e
d
a
y
r
ep
r
ese
n
t
d
iag
r
a
m
s
t
h
at
ar
e
f
o
r
m
s
b
et
w
e
en
t
h
e
v
al
u
es
a
s
s
h
o
w
n
i
n
t
h
e
f
o
llo
w
in
g
r
e
s
u
l
ts
i
n
th
i
s
s
ec
tio
n
.
Fi
g
u
r
e
9
s
h
o
w
s
th
e
f
r
ac
tal
g
e
n
er
ated
f
o
r
ea
c
h
p
o
in
t
o
f
Fig
u
r
e
8
.
T
h
ese
f
r
ac
tals
ar
e
cr
ea
ted
b
y
p
er
f
o
r
m
in
g
iter
atio
n
s
o
f
th
e
co
m
p
le
x
n
u
m
b
er
s
o
b
tai
n
e
d
f
r
o
m
th
e
d
ail
y
lo
ad
d
em
a
n
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
F
r
a
cta
l rep
r
esen
ta
tio
n
o
f th
e
p
o
w
er d
ema
n
d
b
a
s
ed
o
n
to
p
o
lo
g
ica
l p
r
o
p
erti
es
.
..
(
Héc
to
r
A
.
Ta
b
a
r
es
-
Osp
in
a
)
2837
Fig
u
r
e
7
.
T
y
p
ical
lo
ad
d
em
a
n
d
in
a
d
ay
Fig
u
r
e
8
.
R
ea
l a
n
d
r
ea
ctiv
e
p
o
w
er
p
lo
tted
in
t
h
e
f
ir
s
t
q
u
ad
r
an
t o
f
th
e
co
m
p
lex
p
la
n
e
o
f
th
e
M
s
et
(
a
)
1
:0
0
(
b
)
3
:0
0
(
c
)
5
:0
0
(
d
)
7
:0
0
(
e
)
9
:0
0
(
f
)
1
1
:0
0
(
g
)
1
3
:0
0
(
h
)
1
5
:0
0
(
i
)
1
7
:0
0
(
j
)
1
9
:0
0
(
k
)
2
1
:0
0
(
l
)
2
3
:0
0
Fig
u
r
e
9
.
R
ep
r
esen
tatio
n
o
f
p
o
w
er
d
e
m
a
n
d
in
t
h
e
f
ir
s
t q
u
ad
r
a
n
t o
f
t
h
e
co
m
p
le
x
p
lan
e
o
f
J
s
e
ts
A
ll
J
u
lia
s
et
s
p
lo
tted
clo
s
ed
cu
r
v
es
o
f
co
n
n
ec
ted
p
o
i
n
ts
an
d
r
ep
r
esen
t
t
h
e
f
r
ac
tal
to
p
o
lo
g
y
o
f
in
d
u
cti
v
e
p
o
w
er
lo
ad
s
th
at
b
elo
n
g
to
th
e
f
ir
s
t
q
u
ad
r
an
t
o
f
th
e
co
m
p
lex
p
lan
e.
T
h
e
cu
r
v
es
a
r
e
tr
an
s
f
o
r
m
ed
in
to
f
r
ac
tal
cu
r
v
es,
w
h
er
e
t
h
e
s
e
m
i
p
lan
e
s
av
e
i
n
v
er
ted
r
ef
lectio
n
s
ea
c
h
o
t
h
er
an
d
w
i
th
q
u
ad
r
an
ts
s
y
m
m
etr
icall
y
in
v
er
ted
w
it
h
r
esp
ec
t
to
th
e
o
r
ig
i
n
.
I
t
is
also
tr
u
e
th
at,
w
h
e
n
th
e
s
et
o
f
J
u
lia
i
s
co
n
n
ec
ted
,
th
e
p
o
in
t
d
o
es
n
o
t
r
ea
ch
th
e
b
o
u
n
d
ar
y
o
f
t
h
e
s
et,
an
d
d
o
n
o
t g
en
er
ate
p
er
io
d
icity
o
f
t
h
e
J
u
lia
s
et.
0
2
0
0
4
0
0
6
0
0
8
0
0
1
0
0
0
1
2
0
0
1
4
0
0
1
6
0
0
0
2
4
6
8
10
12
14
16
18
20
22
E
l
e
c
tr
i
c
al Po
w
e
r (kW
,
KV
ar)
R
e
al p
o
w
e
r
R
e
ac
ti
ve
p
o
w
e
r
Hour
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
9
,
No
.
4
,
A
u
g
u
s
t 2
0
1
9
:
2
8
3
1
-
2839
2838
No
w
,
w
it
h
r
es
p
ec
t
to
th
e
to
p
o
lo
g
ical
p
r
o
p
e
r
ties
o
f
th
e
J
u
lia
s
ets
r
eg
is
ter
ed
in
th
e
lo
w
e
r
d
em
an
d
p
er
io
d
[
0
0
:
0
0
-
0
5
:0
0
]
,
th
e
eq
u
iv
ale
n
t
f
r
ac
tal
to
p
o
lo
g
y
i
s
p
r
esen
ted
at
3
:0
0
w
it
h
an
in
v
er
ted
r
ef
lecti
v
e
s
y
m
m
etr
y
.
An
o
t
h
er
f
ea
t
u
r
e
o
f
th
e
s
u
b
-
p
er
io
d
is
t
h
e
p
r
ac
tical
in
v
ar
i
an
ce
i
n
t
h
e
lo
ad
d
e
m
a
n
d
,
w
h
ich
i
s
e
v
id
en
t
in
t
h
e
u
n
m
o
v
in
g
f
o
ld
in
g
at
t
h
e
b
o
u
n
d
ar
y
o
f
th
e
f
r
ac
tal
c
u
r
v
e.
A
t
0
5
:0
0
,
th
e
lo
ad
d
e
m
a
n
d
b
eg
in
s
to
i
n
cr
ea
s
e,
g
en
er
ati
n
g
g
r
ea
ter
f
r
ac
tal
f
o
ld
s
at
t
h
e
b
o
u
n
d
ar
ies
o
f
t
h
e
J
u
lia
s
et.
A
t
0
9
:0
0
,
th
e
s
ig
n
i
f
ica
n
t
i
n
cr
ea
s
e
i
n
t
h
e
lo
ad
d
em
a
n
d
is
ev
id
e
n
ce
d
b
y
t
h
e
in
cr
ea
s
e
in
th
e
f
r
ac
tal
f
o
ld
s
o
f
th
e
J
u
lia
s
et.
Fro
m
1
2
:0
0
to
1
7
:0
0
,
an
av
er
ag
e
lo
ad
d
em
a
n
d
i
s
m
ai
n
tai
n
ed
,
r
ep
r
esen
ti
n
g
i
n
s
ig
n
i
f
ica
n
t
c
h
an
g
e
s
in
th
e
b
o
u
n
d
ar
y
o
f
t
h
e
J
u
li
a
s
et.
T
h
e
p
o
in
t
o
f
g
r
ea
test
i
n
ter
est
o
cc
u
r
s
at
1
9
:0
0
,
w
h
e
n
th
e
g
r
ea
test
lo
ad
d
em
an
d
,
g
en
er
ati
n
g
a
to
p
o
lo
g
y
w
it
h
d
en
s
e
f
r
ac
tal
f
o
ld
s
at
th
e
b
o
u
n
d
ar
y
r
elate
d
to
th
e
p
r
o
p
e
r
ties
o
f
th
e
p
ea
k
lo
ad
d
em
a
n
d
.
Fro
m
1
9
:0
0
to
2
4
:0
0
,
th
e
lo
ad
d
em
a
n
d
d
ec
r
ea
s
es a
n
d
t
h
e
b
o
u
n
d
ar
y
o
f
J
u
lia
s
et
s
o
f
ten
s
.
4.
CO
NCLU
SI
O
N
T
h
e
p
ap
e
r
p
r
esen
ted
a
g
r
ap
h
ical
r
ep
r
esen
tatio
n
o
f
t
h
e
p
o
w
er
d
e
m
a
n
d
b
ased
o
n
th
e
to
p
o
lo
g
ical
p
r
o
p
er
ties
o
f
th
e
J
u
lia
Sets
,
w
i
th
th
e
p
u
r
p
o
s
e
o
f
o
b
s
er
v
i
n
g
th
e
d
if
f
er
en
t
g
r
ap
h
ic
p
atter
n
s
an
d
r
elatio
n
s
h
ip
w
it
h
ea
ch
co
n
s
u
m
p
tio
n
i
n
a
d
ail
y
lo
ad
d
em
a
n
d
c
u
r
v
e.
An
al
g
o
r
ith
m
t
h
at
iter
ates
co
m
p
lex
n
u
m
b
er
s
o
f
r
ea
l
a
n
d
r
ea
ctiv
e
p
o
w
er
s
i
s
u
s
ed
to
r
ep
r
esen
t e
ac
h
f
r
ac
tal
d
ia
g
r
a
m
o
f
t
h
e
co
n
s
u
m
p
tio
n
.
I
t
is
co
n
cl
u
d
ed
th
at
t
h
e
lo
ad
d
e
m
an
d
c
u
r
v
e
p
r
ese
n
ts
a
clea
r
f
r
ac
tal
to
p
o
lo
g
y
p
atter
n
o
f
t
h
e
J
u
lia
s
et
an
d
th
e
f
o
llo
w
in
g
o
b
s
er
v
atio
n
s
w
er
e
o
b
tain
ed
:
a.
A
n
e
w
w
a
y
o
f
v
is
u
alizi
n
g
th
e
s
tate
o
f
t
h
e
p
o
w
er
d
e
m
a
n
d
cu
r
v
es
i
s
p
er
f
o
r
m
ed
b
y
u
s
i
n
g
th
e
f
r
ac
ta
l
d
iag
r
a
m
s
o
f
J
u
lia
s
et.
b.
T
h
e
f
r
ac
tal
to
p
o
lo
g
y
o
f
t
h
e
J
u
lia
s
ets
r
elate
d
to
th
e
p
r
o
p
er
ties
o
f
p
o
w
er
d
e
m
a
n
d
d
o
es
n
o
t
g
i
v
e
a
q
u
an
tita
tiv
e
b
u
t q
u
alita
tiv
e
g
e
o
m
e
tr
y
i
n
f
o
r
m
atio
n
a
s
r
esu
l
ts
o
f
s
t
u
d
y
i
n
g
t
h
e
d
if
f
er
e
n
t i
m
ag
es.
c.
T
h
e
to
p
o
lo
g
y
o
f
t
h
e
J
u
lia
s
et
r
ev
ea
ls
t
h
at
t
h
e
r
ea
l
an
d
r
ea
cti
v
e
p
o
w
er
s
s
t
u
d
ied
f
o
r
th
e
lo
ad
d
em
a
n
d
cu
r
v
e,
w
h
ic
h
is
r
elate
d
to
an
in
d
u
cti
v
e
lo
ad
,
b
el
o
n
g
s
to
t
h
e
f
ir
s
t q
u
a
d
r
an
t o
f
th
e
c
o
m
p
le
x
p
lan
e.
d.
T
h
e
d
en
s
it
y
o
f
f
o
ld
s
o
b
tain
ed
f
r
o
m
th
e
J
u
lia
s
et
is
r
elate
d
to
th
e
p
r
o
x
i
m
it
y
o
f
th
e
d
e
m
a
n
d
f
o
r
r
ea
l
an
d
r
ea
ctiv
e
p
o
w
er
s
to
t
h
e
b
o
u
n
d
a
r
y
o
f
th
e
Ma
n
d
elb
r
o
t set.
e.
Fro
m
th
e
e
lectr
ical
p
o
in
t
o
f
v
ie
w
,
t
h
e
d
en
s
ities
o
f
f
o
ld
s
a
r
e
r
elate
d
to
:
(
a)
p
o
w
er
co
n
s
u
m
p
tio
n
t
h
r
o
u
g
h
th
e
d
if
f
er
en
t h
o
u
r
s
an
d
(
b
)
th
e
co
m
b
i
n
atio
n
o
f
t
h
e
r
ea
l a
n
d
r
ea
ctiv
e
p
o
w
er
m
ag
n
it
u
d
es d
u
r
i
n
g
t
h
e
d
a
y
.
T
h
e
lo
ad
d
em
an
d
cu
r
v
e
s
s
t
u
d
ied
in
th
is
ar
ticle
p
r
o
d
u
ce
J
u
lia
s
e
ts
w
it
h
co
n
n
ec
ted
p
o
in
ts
b
ec
au
s
e
th
e
p
o
in
ts
ar
e
w
it
h
i
n
th
e
Ma
n
d
elb
r
o
t
s
et.
T
h
e
f
r
ac
tals
f
o
u
n
d
w
it
h
th
e
J
u
lia
s
et
s
ev
id
en
ce
t
h
at
th
e
lo
ad
d
em
a
n
d
cu
r
v
e
s
r
elate
to
th
e
s
tead
y
-
s
ta
te
o
p
er
atio
n
,
w
h
ic
h
r
ep
r
esen
t
s
th
e
zo
n
e
o
f
p
r
ed
ictab
le
v
alu
es.
Af
ter
r
ep
ea
tin
g
th
e
s
i
m
u
latio
n
f
o
r
d
if
f
er
en
t
r
ea
l
an
d
r
ea
ctiv
e
p
o
w
er
s
w
i
th
i
n
th
e
f
ir
s
t
q
u
ad
r
an
t
o
f
th
e
co
m
p
le
x
p
lan
e,
th
e
y
p
r
o
d
u
ce
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[1
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M
.
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.
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.
[2
]
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.
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.
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.
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[3
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.
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[4
]
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.
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ti
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n
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o
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strictio
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s,”
In
t.
J
.
Psy
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[5
]
J.
O.
Ro
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ríg
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z
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.,
e
t
a
l.
,
“
Nu
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.
la
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iv.
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.
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.
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.
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[7
]
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d
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D.
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.
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l.
,
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[8
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N.
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.
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J.
M
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.
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.
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.
[1
3
]
H.
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.
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4
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Z.
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o
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e
t
a
l.
,
“
M
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p
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[1
5
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G
.
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.
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[1
6
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M.
Y.
Zh
a
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“
A
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term
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re
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n
d
w
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let
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sis,
”
In
t.
J
.
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.
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7
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N.
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.
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.
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“
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I
n
t.
J
.
El
e
c
tr.
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.
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.
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.
[1
8
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M
.
Ih
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m
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t
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l.
,
“
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sig
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o
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t
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tal
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n
ten
n
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f
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r
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rs,”
In
t.
J
.
El
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tr
.
Co
mp
u
t
.
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.
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[1
9
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.
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.
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,
“
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J
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0
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sy
ste
m
s,”
In
t.
J
.
El
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tr.
Co
mp
u
t.
E
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g
.
,
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9
.
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l
En
g
in
e
e
rin
g
a
t
th
e
sa
m
e
u
n
iv
e
rsity
.
He
is
a
n
A
ss
ist
a
n
t
P
r
o
f
e
ss
o
r
o
f
In
stit
u
c
ió
n
Un
iv
e
rsitaria
P
a
sc
u
a
l
Bra
v
o
.
His
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
:
F
ra
c
tal
g
e
o
m
e
tr
y
,
a
rti
f
icia
l
in
telli
g
e
n
c
e
,
o
p
e
ra
ti
o
n
a
n
d
c
o
n
tr
o
l
o
f
p
o
w
e
r
sy
ste
m
s;
a
n
d
sm
a
rt
g
rid
s.
He
is
a
Ju
n
io
r
Re
se
a
rc
h
e
r
in
Co
lcie
n
c
ias
a
n
d
m
e
m
b
e
r
o
f
th
e
Re
se
a
rc
h
G
ro
u
p
-
G
IIE
N,
a
t
In
stit
u
c
ió
n
Un
iv
e
rsitaria
P
a
sc
u
a
l
Bra
v
o
.
h
tt
p
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J
o
h
n
E.
C
a
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d
e
l
o
-
B
e
c
e
r
r
a
:
re
c
e
i
v
e
d
h
is
Bs.
d
e
g
re
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in
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tri
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n
g
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rin
g
in
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a
n
d
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n
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it
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m
p
h
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sis
in
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c
tri
c
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g
i
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2
0
0
9
f
ro
m
Un
iv
e
rsid
a
d
d
e
l
V
a
ll
e
,
Ca
li
-
Co
lo
m
b
ia.
His
e
m
p
lo
y
m
e
n
t
e
x
p
e
rien
c
e
s
in
c
lu
d
e
t
h
e
Em
p
re
sa
d
e
En
e
rg
ía
d
e
l
P
a
c
íf
ico
EP
S
A
,
Un
iv
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rsid
a
d
d
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l
No
rte,
a
n
d
Un
i
v
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rsid
a
d
Na
c
io
n
a
l
d
e
Co
lo
m
b
ia
-
S
e
d
e
M
e
d
e
ll
ín
.
He
is
n
o
w
a
n
A
s
sista
n
t
P
r
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f
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ss
o
r
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f
th
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d
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S
e
d
e
M
e
d
e
ll
ín
,
C
o
lo
m
b
ia.
His
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
:
e
n
g
i
n
e
e
rin
g
e
d
u
c
a
ti
o
n
;
p
lan
n
i
n
g
,
o
p
e
ra
ti
o
n
a
n
d
c
o
n
tr
o
l
o
f
p
o
w
e
r
s
y
ste
m
s;
a
rti
f
icia
l
in
telli
g
e
n
c
e
;
a
n
d
sm
a
rt
g
rid
s.
He
is
a
S
e
n
io
r
Re
se
a
rc
h
e
r
in
Co
lcie
n
c
ias
a
n
d
m
e
m
b
e
r
o
f
th
e
A
p
p
li
e
d
T
e
c
h
n
o
l
o
g
ies
Re
se
a
rc
h
G
ro
u
p
-
G
I
TA
,
a
t
th
e
Un
iv
e
rsid
a
d
Na
c
io
n
a
l
d
e
Co
lo
m
b
ia.
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tt
p
s://
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Fre
d
y
Ed
i
m
e
r
H
o
y
o
s
:
re
c
e
iv
e
d
h
is
BS
a
n
d
M
S
d
e
g
re
e
f
ro
m
th
e
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ti
o
n
a
l
Un
iv
e
rsit
y
o
f
Co
lo
m
b
ia,
a
t
M
a
n
iza
les
,
Co
lo
m
b
ia,
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
a
n
d
In
d
u
str
ial
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u
to
m
a
ti
o
n
,
in
2
0
0
6
a
n
d
2
0
0
9
,
re
sp
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c
ti
v
e
l
y
,
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d
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d
u
str
ial
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u
to
m
a
ti
o
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P
h
.
D.
in
2
0
1
2
.
Dr.
H
o
y
o
s
is
c
u
rre
n
tl
y
a
n
A
ss
o
c
iat
e
P
r
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f
e
ss
o
r
o
f
th
e
S
c
ien
c
e
F
a
c
u
l
t
y
,
S
c
h
o
o
l
o
f
P
h
y
sic
s,
a
t
Na
ti
o
n
a
l
Un
iv
e
rsity
o
f
Co
lo
m
b
ia,
a
t
M
e
d
e
ll
in
,
C
o
lo
m
b
ia.
His
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
n
o
n
li
n
e
a
r
c
o
n
t
ro
l,
sy
ste
m
m
o
d
e
ll
in
g
,
n
o
n
li
n
e
a
r
d
y
n
a
m
ics
a
n
a
l
y
sis,
c
o
n
tro
l
o
f
n
o
n
s
m
o
o
th
sy
ste
m
s,
a
n
d
p
o
w
e
r
e
lec
tr
o
n
ics
,
w
it
h
a
p
p
li
c
a
ti
o
n
w
it
h
in
a
b
ro
a
d
a
re
a
o
f
te
c
h
n
o
l
o
g
ica
l
p
ro
c
e
ss
.
M
r.
Ho
y
o
s
is
a
n
As
so
c
iate
Re
se
a
rc
h
e
r
in
Co
lcie
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c
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a
n
d
m
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m
b
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f
th
e
A
p
p
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d
T
e
c
h
n
o
l
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g
ies
Re
se
a
rc
h
G
ro
u
p
-
G
ITA
a
t
th
e
U
n
iv
e
rsid
a
d
Na
c
io
n
a
l
d
e
Co
lo
m
b
ia.
h
tt
p
s://
o
rc
id
.
o
rg
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0
0
0
-
0
0
0
1
-
8
7
6
6
-
5
1
9
2
.
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