I
nte
rna
t
io
na
l J
o
urna
l o
f
Adv
a
nces in Applie
d Science
s
(
I
J
AAS)
Vo
l.
10
,
No
.
4
,
Dec
em
b
er
202
1
,
p
p
.
3
6
3
~
3
7
2
I
SS
N:
2
2
5
2
-
8814
,
DOI
: 1
0
.
1
1
5
9
1
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j
aa
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.
v
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.
i
4
.
p
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363
-
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2
363
J
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a
d
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,
train
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w
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Settle
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C
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s
p
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A
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:
Vlad
i
m
ir
R
o
t
k
i
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I
n
d
ep
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esear
ch
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Un
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v
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it
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f
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f
a
I
n
ter
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al
Sc
h
o
o
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Sh
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Ag
n
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s
t.,
9
/2
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,
Haif
a,
I
s
r
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E
m
ail: r
ice
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@
m
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r
u
1.
I
NT
RO
D
UCT
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T
h
e
m
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f
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m
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ca
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m
atio
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an
d
co
m
m
u
n
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tec
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o
lo
g
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(
I
C
T
)
an
d
th
e
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i
m
p
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e
m
en
tatio
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in
th
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u
ca
tio
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p
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s
s
.
On
th
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e
h
an
d
,
t
h
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is
a
r
ap
id
p
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lates
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i
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to
th
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f
ield
o
f
ed
u
ca
tio
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,
f
r
o
m
ad
m
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is
tr
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to
t
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e
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ain
in
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p
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s
s
,
m
a
n
y
p
ar
ticip
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ts
ar
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m
o
ti
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an
d
r
ea
d
y
f
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r
th
e
w
id
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s
e
o
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Ho
w
e
v
er
,
o
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th
e
o
t
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h
a
n
d
,
th
e
“
q
u
an
titati
v
e”
ad
v
a
n
ta
g
es
o
f
I
C
T
(
s
p
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d
an
d
v
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lu
m
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f
in
f
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r
m
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s
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,
t
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p
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ib
ilit
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o
f
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j
o
in
t
w
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k
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ar
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ac
co
m
p
a
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b
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i
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co
m
p
ar
ab
l
y
s
m
al
l
q
u
alitati
v
e
ch
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n
g
e
s
in
t
h
e
ed
u
ca
tio
n
al
p
r
o
ce
s
s
its
el
f
.
Ma
in
l
y
,
tr
ad
itio
n
al
m
eth
o
d
s
an
d
d
id
ac
tics
ar
e
u
s
ed
:
o
ld
,
p
o
s
s
ib
l
y
s
l
ig
h
tl
y
m
o
d
i
f
ied
,
ed
u
ca
tio
n
al
co
n
te
n
t
r
etr
iev
ed
f
r
o
m
d
atab
ases
;
v
id
eo
lectu
r
es
f
r
o
m
"
talk
in
g
h
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s
"
;
th
e
u
s
u
a
l f
o
r
m
s
o
f
tr
ai
n
in
g
.
I
n
all
w
alk
s
o
f
li
f
e,
I
C
T
s
h
a
v
e
b
ec
o
m
e
u
b
iq
u
ito
u
s
in
s
tit
u
ti
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n
s
.
T
h
e
u
s
e
o
f
I
C
T
in
h
ig
h
e
r
ed
u
ca
ti
on
co
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tr
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cr
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s
t
u
d
en
t
-
ce
n
tr
ed
lear
n
i
n
g
e
n
v
ir
o
n
m
e
n
t
[
1
]
.
B
en
ef
it
s
a
n
d
ch
alle
n
g
e
s
o
f
u
s
i
n
g
I
C
T
:
in
cr
ea
s
i
n
g
s
t
u
d
en
t
e
f
f
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,
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g
h
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h
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d
er
o
f
th
o
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g
h
t.
I
C
T
also
f
ac
ed
s
o
m
e
d
if
f
ic
u
ltie
s
s
u
c
h
as
in
ad
eq
u
ate
tech
n
o
lo
g
ical
in
f
r
as
tr
u
ct
u
r
e
an
d
in
s
u
f
f
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m
p
u
ter
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x
p
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o
f
s
tu
d
e
n
ts
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8814
I
n
t J
A
d
v
A
p
p
l Sci
,
Vo
l.
10
,
No
.
4
,
Dec
em
b
er
202
1
:
363
–
3
7
2
364
A
h
i
g
h
er
f
o
cu
s
o
n
d
ig
ital
lear
n
in
g
i
s
ass
o
ciate
d
w
it
h
i
m
p
r
o
v
ed
attitu
d
e
s
to
w
ar
d
s
c
h
an
g
e
an
d
m
o
r
e
in
n
o
v
ati
v
e
b
eh
av
io
u
r
s
.
A
b
o
o
b
ak
er
an
d
Z
ak
k
ar
i
y
a
[2
]
h
ig
h
li
g
h
t
t
h
e
n
ee
d
to
s
tr
en
g
th
e
n
th
e
r
o
le
o
f
d
ig
ital
o
r
ien
tatio
n
i
n
teac
h
in
g
a
n
d
lear
n
in
g
i
n
o
r
d
er
to
tr
an
s
f
o
r
m
ed
u
ca
tio
n
al
in
s
tit
u
tio
n
s
t
h
at
ar
e
s
u
s
tai
n
ab
le
i
n
ter
m
s
o
f
p
r
ep
ar
in
g
g
r
ad
u
ates,
r
ea
d
y
f
o
r
ch
an
g
e
an
d
in
n
o
v
ati
v
e
b
eh
av
io
u
r
at
w
o
r
k
,
i
n
th
e
co
n
t
e
x
t
o
f
th
e
e
m
er
g
in
g
d
ig
ital e
co
n
o
m
y
.
E
d
u
ca
tio
n
i
s
a
p
r
o
ce
s
s
ai
m
ed
at
f
in
d
i
n
g
n
e
w
k
n
o
w
led
g
e,
i
n
clu
d
i
n
g
f
i
n
d
in
g
alter
n
ati
v
e
w
a
y
s
in
t
h
e
f
ield
o
f
n
e
w
tech
n
o
lo
g
ie
s
t
h
at
s
er
v
e
to
m
ee
t
s
p
ec
ial
ed
u
ca
tio
n
al
n
ee
d
s
[
3
]
.
So
ci
et
y
r
eq
u
ir
es
t
h
ese
tech
n
o
lo
g
ical
ad
v
a
n
ce
s
t
o
s
o
lv
e
p
r
o
b
lem
s
an
d
e
n
ab
le
h
u
m
an
s
to
w
o
r
k
w
i
th
g
r
ea
ter
er
g
o
n
o
m
ic
s
;
a
s
c
h
o
o
l,
a
s
o
cial
i
n
s
ti
tu
t
io
n
,
al
s
o
n
ee
d
s
t
h
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r
e
s
o
u
r
ce
s
s
o
t
h
at
a
ll
s
tu
d
en
ts
ca
n
b
u
ild
f
u
n
ctio
n
al
an
d
m
ea
n
in
g
f
u
l
teac
h
i
n
g
an
d
lear
n
i
n
g
p
r
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ce
s
s
.
T
h
e
ed
u
ca
tio
n
s
y
s
te
m
o
f
f
er
s
an
ed
u
ca
tio
n
t
h
at
m
ee
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t
h
e
ed
u
ca
tio
n
al
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ee
d
s
o
f
all
s
tu
d
e
n
ts
;
n
e
w
tec
h
n
o
lo
g
ies ar
e
a
w
a
y
to
s
u
p
p
o
r
t d
iv
er
s
it
y
.
B
len
d
ed
lear
n
in
g
s
u
p
p
o
r
ts
o
r
in
cr
ea
s
es
ac
ce
s
s
f
o
r
m
o
s
t
s
t
u
d
en
t
co
h
o
r
ts
an
d
y
ie
l
d
s
h
ig
h
er
ac
h
iev
e
m
e
n
t
r
ate
s
f
o
r
b
o
th
m
i
n
o
r
it
y
a
n
d
n
o
n
-
m
i
n
o
r
it
y
s
tu
d
en
t
s
.
C
h
ar
a
cter
is
tics
th
a
t
s
t
u
d
en
t
s
co
n
s
id
er
i
m
p
o
r
tan
t
ar
e
ass
o
ciate
d
w
it
h
clea
r
l
y
e
s
tab
lis
h
i
n
g
a
n
d
p
r
o
g
r
ess
i
n
g
to
w
ar
d
s
co
u
r
s
e
o
b
j
ec
tiv
es,
cr
ea
tin
g
a
n
ef
f
ec
tiv
e
lear
n
in
g
en
v
ir
o
n
m
e
n
t
an
d
ef
f
ec
ti
v
e
co
m
m
u
n
icat
io
n
b
et
w
ee
n
teac
h
er
s
[
4
]
.
I
f
in
th
eir
o
p
in
io
n
,
th
ese
th
r
ee
el
e
m
en
ts
o
f
t
h
e
co
u
r
s
e
a
r
e
s
atis
f
ied
,
t
h
e
y
ar
e
al
m
o
s
t
g
u
ar
an
teed
to
r
ate
th
eir
ed
u
ca
ti
o
n
al
ex
p
er
ie
n
ce
as
ex
ce
lle
n
t,
r
eg
ar
d
less
o
f
m
o
s
t o
th
er
co
n
s
id
er
atio
n
s
.
T
r
an
s
f
o
r
m
i
n
g
th
e
lear
n
i
n
g
e
n
v
ir
o
n
m
e
n
t
is
o
f
ten
s
y
n
o
n
y
m
o
u
s
w
it
h
ac
ce
p
tan
ce
an
d
co
n
tin
u
ed
atten
tio
n
to
th
e
p
o
ten
tial
b
en
e
f
its
o
f
o
n
li
n
e
lear
n
i
n
g
in
t
h
e
h
ig
h
er
ed
u
ca
tio
n
s
ec
to
r
.
T
h
e
b
lack
b
o
ar
d
lear
n
in
g
m
an
a
g
e
m
e
n
t
s
y
s
te
m
w
a
s
p
il
o
ted
an
d
i
m
p
le
m
e
n
ted
u
s
i
n
g
a
to
p
-
d
o
w
n
ap
p
r
o
ac
h
o
f
in
t
eg
r
ated
tr
ain
in
g
f
o
r
f
ac
u
lt
y
,
s
t
u
d
en
t
s
,
a
n
d
s
u
p
p
o
r
t staf
f
.
B
ased
o
n
d
ata
f
r
o
m
in
ter
v
ie
w
s
w
it
h
p
ar
ticip
an
ts
,
t
h
e
s
t
u
d
y
[
5
]
e
m
p
h
as
izes
th
e
n
ee
d
to
s
tr
e
n
g
t
h
e
n
ac
ad
em
ic
s
u
p
p
o
r
t
f
o
r
t
h
e
d
esi
g
n
o
f
o
n
l
in
e
lear
n
i
n
g
an
d
i
n
cr
ea
s
e
th
e
f
o
cu
s
o
n
th
e
d
ev
elo
p
m
en
t
o
f
ef
f
ec
ti
v
e
tea
ch
in
g
p
r
ac
tices
a
m
o
n
g
e
m
p
lo
y
ee
s
.
w
h
ile
tr
y
in
g
to
u
n
d
er
s
t
an
d
h
o
w
s
cie
n
ti
s
ts
p
er
ce
iv
e
an
d
in
ter
p
r
et
th
e
r
o
le
o
f
o
n
li
n
e
tech
n
o
lo
g
ie
s
in
s
u
p
p
o
r
tin
g
e
f
f
ec
tiv
e
teac
h
i
n
g
p
r
ac
t
ices.
T
o
m
ee
t
t
h
e
n
ee
d
s
o
f
a
n
e
w
g
en
er
atio
n
o
f
s
t
u
d
en
t
s
,
h
i
g
h
er
ed
u
ca
tio
n
in
s
tit
u
tio
n
s
ar
e
in
cr
ea
s
in
g
l
y
u
s
i
n
g
d
ig
ital
to
o
ls
s
u
ch
as
v
ir
tu
al
lear
n
i
n
g
en
v
ir
o
n
m
en
ts
(
VL
E
)
an
d
s
o
cial
m
ed
ia
(
SM)
.
R
esear
ch
-
b
ased
o
n
th
e
t
h
eo
r
y
o
f
s
er
v
ice
p
r
o
d
u
cti
v
it
y
[
6
]
f
in
d
s
t
h
at
lear
n
i
n
g
-
o
r
ien
ted
o
u
tco
m
e
s
ar
e
m
o
s
t
i
m
p
o
r
tan
t
ev
e
n
w
h
e
n
d
ig
ital
tec
h
n
o
lo
g
ies
ar
e
n
o
t
u
s
ed
,
an
d
th
ese
r
es
u
lt
s
ar
e
f
u
r
t
h
er
i
m
p
r
o
v
ed
w
h
e
n
s
t
u
d
en
t
s
u
s
e
th
e
V
L
E
.
St
u
d
en
t
s
ten
d
to
p
r
io
r
itize
k
n
o
w
led
g
e
tr
an
s
f
er
r
esu
l
ts
.
T
h
e
u
s
e
o
f
in
v
er
ted
s
ce
n
ar
io
s
in
th
e
clas
s
r
o
o
m
,
w
it
h
i
n
cr
ea
s
ed
atten
tio
n
to
s
o
lv
in
g
s
p
ec
i
f
ic
s
et
s
o
f
p
r
o
b
lem
s
,
i
s
p
r
esen
ted
o
n
th
e
ex
a
m
p
le
o
f
a
co
u
r
s
e
in
m
ec
h
an
ica
l
en
g
i
n
ee
r
in
g
[
7
]
.
T
h
e
ce
n
tr
ep
iece
o
f
t
h
e
co
u
r
s
e
is
t
h
e
u
n
iv
er
s
itie
s
'
o
w
n
i
m
p
le
m
e
n
tat
io
n
o
f
t
h
e
m
o
o
d
le
lear
n
in
g
m
a
n
a
g
e
m
en
t
s
y
s
te
m
.
On
t
h
e
o
n
e
h
an
d
,
it
p
r
o
v
id
es
all
t
h
e
g
e
n
er
al
i
n
f
o
r
m
atio
n
s
u
c
h
a
s
a
d
etailed
cu
r
r
icu
lu
m
,
o
r
g
a
n
izatio
n
al
i
n
f
o
r
m
atio
n
,
a
s
w
ell
a
s
a
g
r
ad
in
g
s
y
s
te
m
f
o
r
th
e
co
u
r
s
e
an
d
an
o
r
g
a
n
izatio
n
al
d
is
c
u
s
s
io
n
b
o
ar
d
.
On
th
e
o
t
h
er
h
a
n
d
,
it
co
n
tain
s
all
t
h
e
th
e
m
atic
i
n
f
o
r
m
atio
n
.
T
h
e
n
ec
ess
ar
y
th
eo
r
etica
l
i
n
p
u
t
is
p
r
o
v
id
ed
in
t
h
e
f
o
r
m
o
f
w
i
k
i
p
ag
es
an
d
v
id
eo
lectu
r
es,
an
d
p
r
o
b
lem
s
ets
ar
e
av
ailab
le
as
ex
er
cise
s
in
Mo
o
d
le.
I
n
ad
d
itio
n
,
a
d
is
cu
s
s
io
n
b
o
ar
d
is
av
ailab
le
f
o
r
th
e
m
atic
is
s
u
e
s
.
T
h
i
s
g
r
o
u
p
o
f
r
esear
c
h
er
s
[
8
]
,
[
9
]
co
n
d
u
cted
a
co
m
p
ar
ati
v
e
an
al
y
s
i
s
o
f
co
n
v
e
n
tio
n
a
l
a
n
d
elec
tr
o
n
i
c
ass
es
s
m
en
t
s
i
n
t
h
e
ed
u
ca
tio
n
a
l
p
r
o
ce
s
s
.
T
h
e
s
a
m
p
le
p
r
o
b
lem
s
h
a
v
e
b
ee
n
d
esi
g
n
ed
to
ac
co
m
m
o
d
ate
a
w
id
e
v
ar
iet
y
o
f
i
n
p
u
t
s
,
f
r
o
m
g
r
ap
h
i
cs
to
n
u
m
er
ic
an
d
alg
eb
r
aic,
an
d
s
tr
in
g
in
p
u
t
t
y
p
es.
B
y
i
m
p
le
m
en
t
in
g
r
an
d
o
m
v
ar
iab
les,
it
i
s
ev
e
n
p
o
s
s
ib
le
t
o
cr
ea
te
an
in
d
i
v
id
u
al
s
et
o
f
s
ee
d
v
alu
e
s
f
o
r
ea
c
h
p
ar
ticip
an
t.
I
n
ad
d
itio
n
,
w
h
en
w
o
r
k
i
n
g
w
it
h
co
m
p
lex
p
r
o
b
le
m
e
x
a
m
p
le
s
,
y
o
u
n
ee
d
b
e
a
w
a
r
e
o
f
th
e
tr
an
s
f
er
r
ed
er
r
o
r
s
.
T
o
s
h
o
r
te
n
t
h
e
ti
m
e
it
tak
es
to
g
i
v
e
m
ar
k
s
,
t
h
e
ex
a
m
p
r
o
ce
d
u
r
e
co
n
s
is
t
s
o
f
an
e
-
a
s
s
ess
m
e
n
t
p
ar
t
an
d
a
class
ic
p
ap
er
an
d
p
en
cil
p
ar
t.
T
h
e
r
esu
lts
o
f
th
e
elec
tr
o
n
ic
ass
e
s
s
m
e
n
t
a
n
d
g
e
n
er
al
e
x
a
m
i
n
atio
n
w
er
e
s
t
u
d
ied
s
tati
s
ticall
y
,
d
ata
w
er
e
co
llected
o
v
er
s
e
v
er
al
y
ea
r
s
.
A
clea
r
co
r
r
elatio
n
w
a
s
f
o
u
n
d
b
et
w
ee
n
t
h
e
s
co
r
es
o
b
tain
e
d
o
n
t
h
e
elec
tr
o
n
ic
ass
es
s
m
en
t a
n
d
th
e
cla
s
s
ical
o
n
e.
A
n
e
w
s
y
s
te
m
f
o
r
g
en
er
ati
n
g
an
d
m
o
d
ellin
g
ta
s
k
s
in
r
ea
l
-
ti
m
e
is
p
r
ese
n
ted
[
1
0
]
.
T
h
e
u
s
e
o
f
m
o
d
er
n
p
r
in
cip
les
o
f
o
b
j
ec
t
-
o
r
ien
ted
p
r
o
g
r
a
m
m
in
g
a
n
d
r
ef
lectio
n
-
o
r
ien
ted
p
r
o
g
r
a
m
m
i
n
g
al
lo
w
s
r
e
al
-
ti
m
e
a
n
al
y
s
i
s
to
b
e
d
iv
id
ed
in
to
s
u
b
s
y
s
te
m
s
,
wh
er
e
ea
ch
s
u
ch
s
u
b
s
y
s
te
m
ca
n
b
e
im
p
le
m
en
ted
as
a
r
u
n
ti
m
e
p
lu
g
i
n
th
at
ca
n
b
e
in
d
ep
en
d
en
tl
y
d
ev
elo
p
ed
b
y
d
if
f
er
en
t
r
esear
ch
g
r
o
u
p
s
.
T
h
is
m
et
h
o
d
is
in
te
n
d
ed
to
s
av
e
a
s
ig
n
i
f
ica
n
t
a
m
o
u
n
t
o
f
ti
m
e
s
p
en
t o
n
v
alid
ati
n
g
r
es
u
lts
,
a
s
w
ell
as to
p
r
o
v
id
e
p
ee
r
r
ev
ie
w
er
s
w
it
h
a
m
o
r
e
ef
f
icie
n
t r
ev
ie
w
.
A
b
e
et
a
l
.
[
1
1
]
p
r
o
p
o
s
es
a
s
tr
ateg
y
to
s
u
p
p
o
r
t
th
e
au
to
m
at
ic
cr
ea
tio
n
an
d
v
alid
atio
n
o
f
task
s
.
T
h
e
i
m
p
o
r
tan
ce
o
f
s
u
p
p
o
r
tin
g
au
to
m
atic
tas
k
cr
ea
tio
n
is
to
r
ed
u
ce
teac
h
er
ef
f
o
r
t
an
d
p
er
s
o
n
ali
ze
e
-
lear
n
i
n
g
tas
k
s
f
o
r
s
t
u
d
en
ts
,
e
n
h
an
c
in
g
t
h
eir
u
n
d
er
s
ta
n
d
i
n
g
o
f
t
h
e
s
u
b
j
ec
t.
I
n
ad
d
itio
n
,
an
a
u
to
m
atic
v
er
if
icatio
n
s
tr
ate
g
y
p
r
o
v
id
es
i
m
m
ed
iate
f
ee
d
b
ac
k
.
T
h
e
ap
p
r
o
ac
h
is
b
a
s
ed
o
n
t
h
e
s
tan
d
ar
d
izatio
n
o
f
l
ea
r
n
in
g
o
b
j
ec
tiv
es
b
y
p
r
o
v
id
in
g
a
f
o
r
m
al
d
ef
i
n
itio
n
o
f
th
e
s
tr
u
ct
u
r
e
o
f
lear
n
i
n
g
ac
t
iv
itie
s
.
T
h
e
cr
ea
tio
n
o
f
o
p
en
d
atase
t
s
ca
n
ac
ce
ler
ate
t
h
e
p
r
o
g
r
ess
o
f
r
esear
ch
b
y
allo
w
i
n
g
r
es
ea
r
ch
er
s
to
f
o
cu
s
o
n
d
ev
elo
p
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1
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.
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[
1
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h
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C
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[
1
5
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d
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ter
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[
1
6
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.
Su
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[
1
7
]
.
T
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ized
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eq
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:
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t,
o
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p
tim
a
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m
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teac
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to
p
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h
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ex
p
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[
1
8
]
,
s
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tati
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a
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Sch
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Me
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v
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[
1
9
]
d
escr
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m
p
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u
n
iq
u
e
s
t
u
d
en
t
-
ce
n
tr
ed
t
ea
ch
i
n
g
m
et
h
o
d
o
lo
g
y
t
h
at
i
s
s
t
u
d
ie
d
an
d
ass
es
s
ed
d
ig
itall
y
.
T
h
e
u
s
e
o
f
s
m
all
g
r
o
u
p
lear
n
in
g
(
SG
L
)
teac
h
i
n
g
m
et
h
o
d
o
lo
g
ies
in
tar
g
et
in
g
s
t
u
d
en
ts
o
n
d
ig
i
tal
p
latf
o
r
m
s
allo
w
s
f
o
r
a
s
ig
n
if
ican
t
d
eg
r
ee
o
f
in
t
er
ac
tio
n
b
et
w
ee
n
th
e
i
n
ter
f
ac
e
s
-
s
t
u
d
en
t
-
teac
h
er
,
s
tu
d
e
n
t
-
s
t
u
d
en
t,
a
n
d
s
tu
d
e
n
t c
o
u
r
s
e
co
n
te
n
t.
T
h
is
in
ter
ac
tio
n
p
r
o
v
id
es a
b
etter
le
ar
n
in
g
ex
p
er
ie
n
ce
an
d
p
r
o
m
o
tes s
af
e
t
y
a
n
d
a
d
ig
ital to
o
l e
x
p
er
ien
ce
.
On
e
o
f
th
e
m
o
s
t
s
ig
n
i
f
ica
n
t
f
ea
tu
r
es
o
f
e
-
ed
u
ca
tio
n
s
y
s
t
e
m
s
is
t
h
e
i
n
cr
ea
s
ed
r
eq
u
ir
em
en
ts
f
o
r
ed
u
ca
tio
n
al
co
n
te
n
t.
T
o
i
m
p
le
m
en
t
a
n
ad
ap
tiv
e
lear
n
i
n
g
e
n
v
ir
o
n
m
e
n
t,
n
o
t
o
n
l
y
lar
g
e
v
o
lu
m
es
o
f
ed
u
ca
tio
n
a
l
m
ater
ials
ar
e
n
ee
d
ed
,
b
u
t
a
ls
o
q
u
alitati
v
e
c
h
an
g
es
:
g
r
ea
ter
v
a
r
iet
y
,
s
tr
u
ct
u
r
in
g
b
y
to
p
ic,
co
m
p
lex
i
t
y
,
a
n
d
o
th
er
ch
ar
ac
ter
is
tic
s
,
an
d
,
at
t
h
e
s
a
m
e
ti
m
e,
t
h
e
m
ater
ial
m
u
s
t
b
e
m
et
h
o
d
icall
y
h
o
m
o
g
e
n
eo
u
s
.
Me
an
w
h
ile,
e
x
is
ti
n
g
co
n
ten
t
g
en
er
atio
n
s
y
s
te
m
s
,
a
s
a
r
u
le,
m
o
d
i
f
y
t
h
e
tr
ad
itio
n
al
co
n
ten
t
r
etr
iev
ed
f
r
o
m
d
at
ab
ases
b
u
t
d
o
n
o
t
p
r
o
d
u
ce
q
u
alitativ
el
y
n
e
w
co
n
ten
t.
T
o
o
b
tain
s
u
c
h
co
n
ten
t
,
a
f
u
n
d
a
m
e
n
tal
l
y
d
i
f
f
er
en
t
a
p
p
r
o
ac
h
is
n
ee
d
ed
,
b
ased
,
f
o
r
e
x
a
m
p
le,
o
n
i
m
i
tatio
n
-
o
n
to
lo
g
ical
m
o
d
elli
n
g
an
d
th
e
cr
ea
tio
n
o
f
i
n
telli
g
en
t
g
e
n
er
ato
r
s
o
f
k
n
o
w
led
g
e
[
2
0
]
-
[
2
4
]
.
Su
m
m
ar
izin
g
t
h
e
ab
o
v
e,
it
b
ec
o
m
e
s
clea
r
t
h
at
m
o
s
t
ap
p
r
o
ac
h
es
to
th
e
f
o
r
m
at
io
n
o
f
e
-
ed
u
ca
tio
n
s
y
s
te
m
s
ar
e
o
f
an
an
t
h
r
o
p
o
m
o
r
p
h
ic
n
atu
r
e.
T
h
is
ap
p
lie
s
to
all
asp
ec
ts
o
f
e
-
ed
u
ca
tio
n
:
t
h
e
co
n
ten
t
o
f
tr
ai
n
i
n
g
,
th
e
ed
u
ca
tio
n
al
p
r
o
ce
s
s
it
s
el
f
,
th
e
co
n
ce
p
ts
a
n
d
tec
h
n
o
lo
g
ies
u
s
ed
.
Fo
r
ex
a
m
p
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i
n
tel
l
ig
en
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s
y
s
te
m
s
ar
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u
s
u
all
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cr
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ted
o
n
t
h
e
b
asi
s
o
f
n
eu
r
al
n
et
w
o
r
k
s
o
p
er
atin
g
i
n
th
e
"
b
lack
b
o
x
"
m
o
d
e.
I
t
is
co
n
s
id
er
ed
n
ec
e
s
s
ar
y
to
d
ev
elo
p
au
d
io
v
i
s
u
al
s
y
s
te
m
s
in
n
atu
r
al
lan
g
u
ag
e
s
u
s
in
g
lo
g
ical,
s
e
m
a
n
tic
an
d
o
t
h
e
r
ap
p
r
o
ac
h
es.
I
t
is
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
2252
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8814
I
n
t J
A
d
v
A
p
p
l Sci
,
Vo
l.
10
,
No
.
4
,
Dec
em
b
er
202
1
:
363
–
3
7
2
366
g
en
er
all
y
ac
ce
p
ted
t
h
at
an
t
h
r
o
p
o
m
o
r
p
h
i
s
m
u
n
a
m
b
ig
u
o
u
s
l
y
i
m
p
r
o
v
es
th
e
q
u
alit
y
o
f
t
h
e
s
y
s
te
m
.
Ho
w
e
v
er
,
t
h
e
tr
ain
i
n
g
m
a
ter
ials
o
b
tai
n
ed
i
n
th
is
w
a
y
o
f
ten
co
n
tai
n
s
ig
n
i
f
ic
an
t
er
r
o
r
s
a
n
d
ar
e
s
u
b
j
ec
t
to
ad
d
itio
n
al
s
elec
t
io
n
.
I
n
ad
d
itio
n
,
s
u
c
h
ap
p
r
o
ac
h
es
r
eq
u
ir
e
an
in
cr
ea
s
e
i
n
co
m
p
u
t
atio
n
al
r
eso
u
r
ce
s
.
I
t
s
h
o
u
ld
b
e
ass
u
m
ed
t
h
at
t
h
e
is
s
u
e
o
f
th
e
o
p
ti
m
al
lev
e
l
o
f
an
th
r
o
p
o
m
o
r
p
h
is
m
h
a
s
n
o
t
b
ee
n
s
u
f
f
ic
ie
n
tl
y
s
t
u
d
ied
an
d
r
eq
u
ir
es
a
ca
r
ef
u
l
ap
p
r
o
ac
h
.
C
o
n
s
id
er
in
g
th
a
t,
u
n
li
k
e
t
h
e
f
ield
o
f
s
cie
n
ti
f
ic
r
e
s
ea
r
ch
,
ed
u
ca
tio
n
al
s
y
s
te
m
s
ar
e
r
ep
ea
ted
ly
test
ed
w
it
h
s
tab
le
ed
u
ca
tio
n
al
m
a
ter
i
al,
it
is
p
o
s
s
ib
le
to
s
u
cc
es
s
f
u
l
l
y
ap
p
l
y
d
ed
u
cti
v
e
(
an
al
y
tical)
t
y
p
es
o
f
ar
ti
f
icia
l
in
telli
g
e
n
ce
(
AI
)
-
b
ased
o
n
g
en
er
al
m
at
h
e
m
atica
l
m
o
d
els.
T
h
is
ap
p
r
o
ac
h
allo
w
s
y
o
u
to
:
g
et
an
u
n
li
m
ited
n
u
m
b
er
o
f
d
iv
er
s
e
ed
u
ca
tio
n
al
tas
k
s
,
s
tr
u
ct
u
r
e
th
e
m
ac
co
r
d
in
g
to
an
y
n
ec
es
s
ar
y
c
r
iter
ia,
an
d
en
s
u
r
e
m
et
h
o
d
o
lo
g
ical
u
n
it
y
.
Mo
r
eo
v
er
,
ea
ch
o
p
er
atio
n
is
ac
cu
r
atel
y
id
en
t
if
ied
b
y
a
u
n
iq
u
e
s
et
o
f
ca
lcu
lated
v
ar
iab
les (
p
ar
a
m
eter
s
)
.
I
n
p
r
ac
tice,
th
is
r
ep
r
ese
n
ts
a
s
i
m
p
ler
eq
u
iv
ale
n
t o
f
th
e
p
atter
n
r
ec
o
g
n
itio
n
p
r
o
ce
d
u
r
e
i
n
in
d
u
cti
v
e
ar
tific
ial
in
te
lli
g
en
c
e
s
y
s
te
m
s
u
s
i
n
g
n
e
u
r
al
n
et
w
o
r
k
s
an
d
m
ac
h
i
n
e
lear
n
i
n
g
.
T
h
is
ap
p
r
o
ac
h
ass
u
m
e
s
th
e
u
s
e
o
f
s
i
m
p
le
a
n
d
in
t
u
iti
v
e
m
atr
ix
f
o
r
m
s
as a
n
i
n
ter
f
ac
e.
2.
RE
S
E
ARCH
M
E
T
H
O
D
T
h
e
m
et
h
o
d
o
lo
g
y
o
f
t
h
e
f
o
r
m
atio
n
o
f
an
ed
u
ca
tio
n
al
s
y
s
te
m
b
ased
o
n
a
d
ed
u
ctiv
e
i
n
tellect
u
al
g
en
er
ato
r
o
f
k
n
o
w
led
g
e
is
co
n
s
id
er
ed
.
T
h
e
s
y
s
te
m
a
s
s
u
m
es r
an
d
o
m
g
e
n
er
atio
n
o
f
ed
u
ca
tio
n
al
tas
k
s
,
te
x
t i
n
p
u
t
o
f
s
o
l
u
tio
n
s
,
a
n
d
th
e
ir
v
er
i
f
ic
atio
n
t
h
r
o
u
g
h
th
e
as
s
ess
m
e
n
t
o
f
t
h
e
ac
c
u
r
ac
y
o
f
t
h
e
r
e
s
u
l
ts
.
I
t
al
s
o
p
r
o
v
id
es
in
tellect
u
al
s
u
p
p
o
r
t f
o
r
u
s
er
s
a
n
d
tr
ain
i
n
g
t
h
e
s
y
s
te
m
b
y
f
o
r
m
i
n
g
t
h
e
ele
m
en
t b
ase
o
f
r
ef
er
en
ce
s
o
lu
tio
n
s
.
2
.
1
.
Co
nte
nt
g
ener
a
t
io
n
T
r
ain
in
g
tas
k
s
ar
e
g
en
er
ated
o
n
t
h
e
b
asi
s
o
f
a
s
i
m
u
latio
n
m
o
d
el
t
h
at
d
eter
m
in
e
s
th
e
r
elatio
n
s
h
i
p
b
et
w
ee
n
th
e
m
ai
n
v
ar
iab
les (
p
ar
a
m
eter
s
)
o
f
t
h
e
g
e
n
er
al
tas
k
X
.
1
(
1
…
…
)
=
0
;
(
1
…
…
)
=
0
;
(
1
…
…
)
=
0
.
(
1
)
Her
e
J
is
th
e
n
u
m
b
er
o
f
b
asic
v
ar
iab
les
(
X)
,
K
is
th
e
n
u
m
b
e
r
o
f
co
n
n
ec
tio
n
s
b
et
w
ee
n
v
ar
i
ab
les.
A
cc
o
r
d
in
g
l
y
,
th
e
d
i
m
e
n
s
io
n
o
f
t
h
e
s
y
s
te
m
i
s
eq
u
al
to
J
-
K,
th
at
is
,
b
y
s
p
e
cif
y
in
g
K
v
ar
iab
les
i
n
d
if
f
er
e
n
t
co
m
b
i
n
atio
n
s
,
as
th
e
i
n
itia
l
o
n
e
s
,
y
o
u
ca
n
ca
lc
u
late
th
e
r
est
o
f
t
h
e
J
-
K
ca
lc
u
l
ated
v
ar
iab
les.
T
h
u
s
,
co
m
b
i
n
a
tio
n
s
o
f
J
ele
m
e
n
ts
f
r
o
m
K
d
eter
m
i
n
e
t
h
e
n
u
m
b
er
o
f
p
o
s
s
ib
le
p
ar
tic
u
lar
p
r
o
b
lem
s
b
a
s
ed
o
n
t
h
e
g
en
er
al
m
o
d
e
l
(
p
r
o
b
lem
)
.
I
n
t
u
r
n
,
ea
ch
p
ar
ticu
lar
p
r
o
b
le
m
ca
n
b
e
g
e
n
er
ated
in
a
v
ar
iet
y
o
f
r
an
d
o
m
v
ar
ia
n
ts
if
th
e
v
al
u
es
o
f
i
ts
i
n
itial
p
ar
a
m
eter
s
ar
e
s
et
r
an
d
o
m
l
y
.
T
h
e
p
r
o
ce
s
s
o
f
g
en
er
ati
n
g
p
ar
tial
p
r
o
b
le
m
s
is
b
ased
o
n
t
h
e
f
o
r
m
a
tio
n
o
f
an
ar
r
a
y
o
f
r
a
n
d
o
m
v
alu
e
s
o
f
t
h
e
m
a
in
v
ar
iab
les
a
s
s
h
o
w
n
i
n
T
ab
le
1
.
T
ab
le
1
.
T
h
e
m
ai
n
ar
r
a
y
o
f
r
an
d
o
m
v
ar
iab
les
N
a
me
S
i
g
n
O
p
e
r
a
t
i
o
n
D
a
t
a
k
i
n
d
s
N
a
m
e
R(
i
;
1
)
R(
i
;
1
)
RAN
D
G
E
N
(
i
;
1
)
B
a
si
c
i
n
i
t
i
a
l
d
a
t
a
…
.
.
.
.
.
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2
.
3
.
Da
t
a
identif
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s
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ar
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ec
o
g
n
ized
as
id
en
tica
l
(
eq
u
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n
t)
.
2
.
4
.
M
a
chine
lea
rning
C
o
n
s
id
er
in
g
t
h
at
u
s
er
s
ar
e
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i
v
en
t
h
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p
p
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tu
n
it
y
to
b
u
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u
n
iq
u
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ca
lcu
la
tio
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s
eq
u
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n
ce
s
u
s
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n
g
th
ei
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o
w
n
v
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d
p
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m
eter
s
,
it
s
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ld
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g
n
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th
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ar
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f
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f
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t
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s
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s
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tas
k
s
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m
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t
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ter
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r
o
v
es it
s
ab
ilit
y
to
r
ec
o
g
n
i
ze
th
e
en
ter
ed
o
p
er
ato
r
s
,
p
er
ce
iv
i
n
g
n
e
w
i
n
f
o
r
m
atio
n
f
r
o
m
s
t
u
d
en
t
s
(
u
s
er
s
)
.
2
.
5
.
H
elp a
nd
s
up
po
rt
T
h
e
p
r
esen
ce
o
f
a
r
ep
len
is
h
ed
r
ef
er
en
ce
b
a
s
e
o
f
o
p
er
ato
r
s
m
ak
e
s
it
p
o
s
s
ib
le
n
o
t
o
n
l
y
to
id
en
ti
f
y
th
e
en
ter
ed
o
p
er
ato
r
s
an
d
ev
alu
a
te
th
e
u
s
er
's
ac
tio
n
s
b
u
t
als
o
to
p
r
o
v
id
e
h
i
m
w
it
h
m
et
h
o
d
o
lo
g
ical
s
u
p
p
o
r
t,
p
r
o
v
id
in
g
f
ee
d
b
ac
k
w
ith
t
h
e
s
y
s
te
m
.
Fo
r
th
is
,
an
al
g
o
r
ith
m
is
u
s
ed
th
at,
n
o
t
o
n
l
y
u
s
i
n
g
th
e
id
en
tific
atio
n
m
ec
h
a
n
i
s
m
,
s
elec
ts
a
r
ef
er
e
n
ce
o
p
er
ato
r
eq
u
iv
alen
t
to
th
e
o
p
er
ato
r
m
ar
k
ed
b
y
t
h
e
u
s
er
,
b
u
t
also
f
ix
e
s
th
e
co
r
r
esp
o
n
d
in
g
o
p
er
atio
n
al
c
h
a
in
.
T
h
e
e
n
tire
s
eq
u
e
n
ce
o
f
r
ef
e
r
en
ce
o
p
er
ato
r
s
’
c
h
ai
n
i
s
r
ep
r
esen
ted
i
n
a
s
p
ec
ia
l
s
a
m
p
les
m
atr
i
x
.
T
h
is
m
a
tr
ix
s
er
v
es a
s
a
n
au
x
iliar
y
in
ter
f
ac
e
f
o
r
th
e
m
e
th
o
d
o
lo
g
ical
s
u
p
p
o
r
t o
f
th
e
u
s
er
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8814
I
n
t J
A
d
v
A
p
p
l Sci
,
Vo
l.
10
,
No
.
4
,
Dec
em
b
er
202
1
:
363
–
3
7
2
368
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
h
e
o
r
d
e
r
an
d
r
esu
lts
o
f
th
e
i
m
p
le
m
e
n
tat
io
n
o
f
t
h
e
co
n
te
n
t
g
en
er
atio
n
m
e
th
o
d
o
lo
g
y
ar
e
c
o
n
s
i
d
er
ed
i
n
a
s
p
ec
if
ic
e
x
a
m
p
le,
f
o
llo
w
ed
b
y
a
n
a
n
al
y
s
i
s
o
f
t
h
e
w
a
y
s
an
d
p
r
o
s
p
ec
ts
f
o
r
ex
p
an
d
i
n
g
an
d
m
o
d
if
y
i
n
g
th
e
g
en
er
ato
r
m
o
d
el.
3
.
1
.
I
m
ple
m
ent
a
t
io
n o
f
a
co
nte
nt
g
ener
a
t
o
r
us
ing
a
t
uto
ri
a
l t
o
pic a
s
a
n e
x
a
m
ple
T
h
e
cu
r
r
en
t
la
y
o
u
t
o
f
t
h
e
ed
u
ca
tio
n
al
co
n
te
n
t
g
e
n
er
ato
r
is
i
m
p
le
m
e
n
ted
o
n
a
s
i
m
p
le
e
x
a
m
p
le
o
n
t
h
e
to
p
ic
f
r
o
m
th
e
s
c
h
o
o
l
m
at
h
e
m
atic
s
co
u
r
s
e
"
Vec
to
r
in
a
f
l
at
co
o
r
d
in
ate
s
y
s
te
m
"
.
T
h
e
d
esig
n
m
o
d
el
a
n
d
th
e
co
r
r
esp
o
n
d
in
g
m
ai
n
ar
r
a
y
o
f
v
ar
iab
les
ar
e
f
o
r
m
ed
f
r
o
m
th
e
f
o
llo
w
i
n
g
d
ata
th
at
d
eter
m
i
n
e
th
e
co
n
f
i
gur
atio
n
o
p
tio
n
s
f
o
r
th
e
tas
k
s
as s
h
o
w
n
in
Fi
g
u
r
e
1
.
I
n
itial d
ata:
co
o
r
d
in
ates o
f
p
o
in
t
A
XA;
YA;
len
g
th
(
m
o
d
u
l
u
s
)
o
f
v
ec
to
r
AB
-
А
В
;
th
e
an
g
le
b
et
w
ee
n
th
e
a
x
is
O
X
an
d
th
e
v
ec
to
r
A
B
-
α.
C
alcu
lated
d
ata:
th
e
co
s
i
n
e
o
f
th
e
a
n
g
le
b
et
w
ee
n
th
e
O
X
ax
i
s
an
d
th
e
A
B
v
ec
t
o
r
-
;
th
e
s
i
n
e
o
f
t
h
e
an
g
le
b
et
w
ee
n
t
h
e
OX
ax
is
an
d
t
h
e
A
B
v
ec
to
r
-
;
th
e
p
r
o
j
ec
tio
n
o
f
th
e
A
B
v
ec
to
r
o
n
to
th
e
OX
ax
i
s
-
=
;
th
e
p
r
o
j
ec
tio
n
o
f
th
e
A
B
v
ec
to
r
o
n
to
th
e
OY
ax
i
s
-
=
;
co
o
r
d
in
ates o
f
p
o
in
t B
-
=
+
;
=
+
.
Fig
u
r
e
1.
A
v
ec
to
r
in
a
f
lat
co
o
r
d
in
at
e
s
y
s
te
m
: r
an
d
o
m
co
n
f
i
g
u
r
atio
n
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
A
d
v
A
p
p
l Sci
I
SS
N:
2
2
5
2
-
8814
Tr
a
in
a
b
le
g
en
era
to
r
o
f
e
d
u
ca
t
io
n
a
l c
o
n
ten
t
(
V
la
d
imir
R
o
tkin
)
369
I
n
th
e
ad
m
i
n
i
s
tr
ativ
e
(
m
o
d
e
r
a
ted
)
in
ter
f
ac
e
o
f
t
h
e
g
e
n
er
ato
r
,
s
ee
Fig
u
r
e
2
,
th
e
n
a
m
es
a
n
d
d
esig
n
atio
n
s
o
f
t
h
e
m
ain
d
at
a
ar
e
p
r
esen
ted
i
n
t
h
e
“
g
lo
s
s
ar
y
”
tab
le.
O
n
th
e
lef
t
is
a
r
an
d
o
m
g
eo
m
etr
ic
co
n
f
i
g
u
r
atio
n
o
f
t
h
e
o
b
j
ec
t
an
d
th
e
te
x
t
o
f
th
e
ed
u
ca
tio
n
al
t
ask
.
T
h
is
i
n
ter
f
ac
e
is
i
n
ten
d
ed
to
f
o
r
m
t
h
e
i
n
it
ial
r
ef
er
en
ce
b
ase
o
f
tas
k
s
.
T
h
e
ad
m
in
i
s
tr
ato
r
(
m
o
d
er
ato
r
)
en
ter
s
th
e
in
it
ial
d
ata
in
to
th
e
w
o
r
k
in
g
m
atr
ix
,
i
n
th
e
f
o
r
m
o
f
li
n
k
s
to
th
e
n
a
m
e
s
o
f
th
e
m
ai
n
v
ar
iab
le
s
f
r
o
m
t
h
e
"
g
lo
s
s
ar
y
"
tab
le.
T
h
en
th
e
s
o
l
u
tio
n
o
f
t
h
e
tas
k
is
in
tr
o
d
u
c
ed
in
t
h
e
f
o
r
m
o
f
a
s
eq
u
en
ce
o
f
o
p
er
ato
r
s
o
f
ca
l
cu
lated
v
ar
iab
les.
I
f
th
e
r
ef
e
r
en
ce
b
ase
alr
ea
d
y
co
n
tain
s
t
h
e
p
r
ev
io
u
s
d
ata,
t
h
en
th
e
o
p
er
atio
n
s
ca
n
b
e
co
n
tr
o
lled
b
y
t
h
e
v
alu
e
s
o
f
th
e
r
elativ
e
p
er
ce
n
ta
g
e
d
ev
iatio
n
s
.
W
h
er
e
t
h
er
e
is
n
o
r
ef
er
en
ce
v
ar
iab
le
o
r
t
h
e
d
ev
iatio
n
d
o
es
n
o
t
f
it
i
n
to
t
h
e
li
m
it
v
al
u
e,
a
g
ap
i
s
f
i
x
ed
in
t
h
e
m
atr
i
x
.
Usi
n
g
t
h
e
"
v
ar
ia
n
t
"
co
u
n
ter
,
y
o
u
ca
n
ar
b
itra
r
il
y
ch
a
n
g
e
t
h
e
v
alu
e
s
o
f
t
h
e
i
n
itial
d
ata,
co
n
t
r
o
llin
g
th
e
co
r
r
esp
o
n
d
in
g
d
ev
iatio
n
s
.
I
n
ad
d
itio
n
,
th
e
"
lin
e
"
co
u
n
ter
allo
w
s
y
o
u
to
f
in
d
o
p
er
ato
r
s
in
th
e
r
e
f
er
en
ce
d
atab
ase
th
at
ar
e
eq
u
i
v
alen
t
t
o
th
e
o
p
er
ato
r
en
ter
ed
b
y
th
e
u
s
er
i
n
th
e
s
p
ec
if
ied
r
o
w
o
f
t
h
e
w
o
r
k
i
n
g
m
atr
i
x
,
an
d
to
d
is
p
la
y
t
h
e
co
r
r
esp
o
n
d
in
g
ca
lcu
lated
ch
ai
n
s
o
f
r
ef
er
en
ce
o
p
er
ato
r
s
in
t
h
e
s
a
m
p
les
m
atr
i
x
.
A
f
ter
th
e
in
itial
d
ata
a
n
d
ca
lcu
lated
o
p
er
ato
r
s
ar
e
en
ter
ed
an
d
th
e
s
o
l
u
tio
n
i
s
v
er
i
f
ied
,
t
h
e
tas
k
is
s
en
t
to
th
e
r
e
f
er
en
ce
d
atab
ase
b
y
ac
ti
v
ati
n
g
t
h
e
"
s
av
e
"
o
p
tio
n
.
Fig
u
r
e
2
.
A
d
m
in
i
s
tr
ati
v
e
in
ter
f
ac
e
"
Mo
d
er
ato
r
"
T
h
e
"
I
n
s
tr
u
cto
r
"
tr
ain
in
g
in
ter
f
ac
e
i
s
f
o
r
m
ed
b
y
r
ed
u
ci
n
g
t
h
e
ad
m
in
is
tr
ati
v
e
i
n
ter
f
ac
e
(
Fi
g
u
r
e
3
)
.
I
t
d
if
f
er
s
i
n
t
h
at
t
h
e
i
n
itia
l
d
ata
o
f
t
h
e
ta
s
k
s
ar
e
n
o
t
en
ter
ed
b
y
th
e
u
s
er
,
b
u
t
ar
e
r
etr
ie
v
ed
f
r
o
m
th
e
r
ef
er
e
n
ce
d
atab
ase
u
s
i
n
g
t
h
e
“
ta
s
k
s
”
c
o
u
n
ter
a
n
d
ar
e
p
r
esen
ted
i
n
n
u
m
er
ical
f
o
r
m
.
T
h
e
r
es
t
o
f
th
e
i
n
ter
f
ac
e
w
o
r
k
s
s
i
m
ilar
l
y
to
t
h
e
"
m
o
d
er
ato
r
"
.
P
r
o
b
lem
s
o
lu
t
io
n
s
f
r
o
m
t
h
e
"
in
s
tr
u
cto
r
"
in
ter
f
ac
e
ca
n
al
s
o
b
e
f
o
r
w
ar
d
ed
to
th
e
r
ef
er
en
ce
d
atab
ase.
T
o
d
o
th
is
,
o
p
en
t
h
e
tas
k
i
n
th
e
"
m
o
d
er
ato
r
"
an
d
af
ter
v
er
i
f
y
i
n
g
t
h
e
s
o
lu
tio
n
,
u
s
e
t
h
e
"
s
av
e
"
b
u
tto
n
.
Fu
r
t
h
er
r
ed
u
ctio
n
o
f
th
e
in
ter
f
ac
e,
b
y
t
h
e
w
a
y
o
f
ex
ce
p
tio
n
o
f
t
h
e
g
r
ap
h
ic
i
m
a
g
e
o
f
t
h
e
o
b
j
ec
t a
n
d
t
h
e
s
a
m
p
les
m
atr
i
x
,
g
iv
e
s
a
v
er
s
i
o
n
f
o
r
co
n
tr
o
llin
g
t
h
e
u
s
er
'
s
l
ea
r
n
in
g
s
k
ill
s
-
th
e
co
n
tr
o
l
in
te
r
f
ac
e
"
Stu
d
en
t"
as
s
h
o
w
n
in
F
ig
u
r
e
4
.
T
o
co
m
p
li
ca
te
th
e
tas
k
,
th
e
"
Dev
iatio
n
"
o
p
tio
n
ca
n
also
b
e
ex
clu
d
ed
.
T
h
e
f
u
n
c
tio
n
al
o
f
th
e
p
r
o
p
o
s
ed
tr
ain
in
g
s
y
s
te
m
b
ased
o
n
a
s
i
m
u
lat
io
n
co
n
te
n
t
g
e
n
er
ato
r
,
p
r
esen
ted
,
in
p
ar
ticu
lar
,
i
n
th
e
f
o
r
m
o
f
a
d
em
o
n
s
tr
atio
n
la
y
o
u
t
[
2
5
]
,
in
d
icate
s
t
h
at
d
ed
u
cti
v
e
n
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ith
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8814
I
n
t J
A
d
v
A
p
p
l Sci
,
Vo
l.
10
,
No
.
4
,
Dec
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b
er
202
1
:
363
–
3
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2
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Fig
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tain
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g
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ith
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4
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to
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
A
d
v
A
p
p
l Sci
I
SS
N:
2
2
5
2
-
8814
Tr
a
in
a
b
le
g
en
era
to
r
o
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e
d
u
ca
t
io
n
a
l c
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n
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(
V
la
d
imir
R
o
tkin
)
371
v
ec
to
r
o
r
m
i
x
ed
p
r
o
d
u
cts.
T
h
is
ap
p
r
o
ac
h
allo
w
s
y
o
u
to
s
ig
n
i
f
ican
tl
y
e
x
p
an
d
t
h
e
g
e
n
er
ati
o
n
o
f
b
o
th
g
e
n
er
al
an
d
s
p
ec
if
ic
ta
s
k
s
.
I
m
p
r
o
v
e
m
e
n
t o
f
t
h
e
f
ee
d
b
ac
k
b
et
w
ee
n
t
h
e
u
s
er
a
n
d
th
e
s
y
s
te
m
i
s
n
ee
d
ed
.
Fo
r
ex
a
m
p
le,
i
n
ad
d
itio
n
to
th
e
d
ev
iat
io
n
v
alu
e,
t
h
e
s
y
s
te
m
m
u
s
t
n
o
tify
t
h
e
u
s
er
ab
o
u
t
t
h
e
in
co
r
r
ec
t
i
n
p
u
t
o
f
a
t
y
p
ical
o
p
er
ato
r
(
f
o
r
m
u
la)
.
T
h
e
p
er
s
p
ec
tiv
es
o
f
m
ac
h
in
e
l
ea
r
n
in
g
ar
e
o
f
co
n
s
id
er
ab
le
in
ter
est.
A
t
t
h
e
i
n
itial
s
tag
e,
m
a
n
u
al
m
o
d
er
atio
n
o
f
u
s
er
s
o
lu
tio
n
s
i
s
ap
p
lied
b
ef
o
r
e
th
e
y
ar
e
s
e
n
t
to
t
h
e
r
e
f
er
en
ce
b
ase.
I
t
is
n
ec
es
s
ar
y
to
d
ev
elo
p
an
d
i
m
p
r
o
v
e
s
p
ec
ial
alg
o
r
ith
m
s
to
au
to
m
a
te
m
o
d
er
atio
n
.
T
h
e
u
s
e
o
f
n
e
u
r
al
n
et
w
o
r
k
A
I
s
y
s
te
m
s
i
s
n
o
t e
x
clu
d
ed
.
4.
CO
NCLU
SI
O
N
T
h
e
d
ed
u
ctiv
e
ap
p
r
o
ac
h
b
ased
o
n
th
e
s
i
m
u
la
tio
n
o
f
ed
u
ca
tio
n
al
o
b
j
ec
ts
allo
w
s
y
o
u
t
o
cr
ea
te
a
u
n
i
f
ied
a
lg
o
r
it
h
m
ic
p
lat
f
o
r
m
t
h
at
co
m
b
i
n
e
s
t
h
e
f
u
n
ct
io
n
s
o
f
a
co
n
te
n
t
g
en
er
atio
n
w
i
th
ed
u
ca
tio
n
al
tr
ai
n
i
n
g
.
I
n
co
m
p
ar
is
o
n
w
i
th
an
t
h
r
o
p
o
m
o
r
p
h
ic
lo
g
ical,
o
n
to
lo
g
ical,
s
e
m
an
tic
m
et
h
o
d
s
o
f
co
n
te
n
t
f
o
r
m
atio
n
,
s
i
m
u
lati
n
g
tr
ain
i
n
g
g
e
n
er
a
to
r
s
d
e
m
o
n
s
tr
at
e
a
n
u
m
b
er
o
f
ad
v
a
n
tag
e
s
.
T
h
e
y
ar
e
ca
p
ab
le
o
f
p
r
o
d
u
cin
g
,
o
n
li
n
e,
a
n
u
n
l
i
m
ited
n
u
m
b
er
o
f
e
x
tr
e
m
e
l
y
v
ar
ied
t
ask
s
,
to
g
et
h
er
w
it
h
s
o
l
u
tio
n
s
.
T
h
ese
teac
h
i
n
g
m
ater
ial
s
ar
e
co
m
p
lete
l
y
r
eliab
le
an
d
d
o
n
o
t
n
ee
d
an
y
ad
d
itio
n
a
l
s
elec
tio
n
.
T
h
e
ab
ilit
y
f
o
r
th
e
u
s
er
to
ar
b
itra
r
ily
d
e
f
i
n
e
th
e
f
o
r
m
a
n
d
s
eq
u
en
c
e
o
f
o
p
er
atio
n
s
i
n
s
o
l
v
i
n
g
p
r
o
b
le
m
s
g
i
v
es
th
e
s
y
s
te
m
h
i
g
h
f
le
x
ib
ilit
y
a
n
d
v
ar
iab
ilit
y
.
T
h
e
r
ep
r
esen
tatio
n
o
f
ta
s
k
s
in
th
e
f
o
r
m
o
f
s
ets
o
f
o
p
er
ato
r
s
w
it
h
n
u
m
er
ical
v
a
lu
e
s
,
in
co
m
b
i
n
atio
n
w
i
th
t
h
e
r
an
d
o
m
f
o
r
m
atio
n
o
f
th
e
in
itial
d
ata,
p
r
o
v
id
es
h
i
g
h
ac
cu
r
ac
y
o
f
v
er
i
f
icatio
n
o
f
u
s
er
o
p
er
atio
n
s
b
ased
o
n
th
e
co
m
p
ar
i
s
o
n
o
f
in
teg
r
al
n
u
m
er
ical
id
e
n
ti
f
ier
s
.
Si
n
ce
t
h
e
co
m
p
ar
is
o
n
i
s
m
ad
e
w
it
h
th
e
r
ef
er
e
n
ce
s
o
lu
t
io
n
b
ase,
t
h
e
r
ep
len
is
h
m
en
t
o
f
th
is
b
ase
f
r
o
m
n
e
w
i
n
d
iv
id
u
a
l
s
o
l
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tio
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s
a
u
n
iq
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s
y
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m
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ase
d
o
n
it
s
i
n
ter
ac
tio
n
w
it
h
s
tu
d
e
n
ts
.
RE
F
E
R
E
NC
E
S
[1
]
M
.
M
.
S
u
leim
a
n
,
A
.
T
.
Ya
h
y
a
a
n
d
M
.
T
u
k
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r,
“
Ef
fe
c
ti
v
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Util
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ti
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f
ICT
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o
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Hig
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Ed
u
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ti
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o
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Xi
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ive
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v
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14
,
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.
9
,
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5
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[2
]
N.
A
b
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b
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K.A
.
Zak
k
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ri
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a
“
In
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ig
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re
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ti
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rk
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a
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r:
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Or
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34
,
no
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[3
]
J
.
M
.
S
.
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o
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é
,
“
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IC
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Ne
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]
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[7
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.
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.
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tretter,
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[9
]
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A
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tretter,
R.
Ju
ri
sits,
M.
S
c
h
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m
m
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l
,
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0
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g
,
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1
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A
b
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,
R.
Co
rtez
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n
d
A
.
V
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z
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n
in
,
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sk
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0
1
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o
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2
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ss
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m
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A
.
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ter,
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d
ian
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d
N.
P
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w
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rt
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“
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4
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.
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.
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8814
I
n
t J
A
d
v
A
p
p
l Sci
,
Vo
l.
10
,
No
.
4
,
Dec
em
b
er
202
1
:
363
–
3
7
2
372
[1
5
]
A
.
G
.
R.
v
a
n
T
e
rh
e
y
d
e
n
a
n
d
D.
A
.
Ch
a
lcra
f
t,
“
Co
m
b
in
in
g
in
d
u
c
t
iv
e
a
n
d
d
e
d
u
c
ti
v
e
re
a
so
n
in
g
,
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mp
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ter
-
Ai
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d
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g
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n
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[1
6
]
F.
T
u
rin
i
,
M.
Ba
g
li
o
n
i
,
B.
F
u
rle
tt
i
a
n
d
S.
Rin
z
iv
il
l
o
,
“
Ex
a
m
p
les
o
f
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teg
ra
ti
o
n
o
f
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d
u
c
ti
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n
d
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d
u
c
ti
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n
in
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o
w
led
g
e
Disc
o
v
e
r
y
,
”
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so
n
i
n
g
,
Acti
o
n
a
n
d
I
n
ter
a
c
ti
o
n
in
AI
T
h
e
o
rie
s
a
n
d
S
y
ste
ms
,
v
o
l
.
4
1
5
5
,
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.
3
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.
[1
7
]
V.
V
a
g
a
le,
L.
Nie
d
rit
e
a
n
d
S.
Ig
n
a
tj
e
v
a
,
“
T
h
e
Us
e
o
f
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Re
c
o
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d
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p
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E
-
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e
a
rn
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g
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y
ste
m
,
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DB
&
IS
2
0
2
0
:
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ta
b
a
se
s
a
n
d
In
f
o
rm
a
ti
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n
S
y
ste
ms
,
v
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l
.
1
2
4
3
,
pp
.
2
8
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-
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.
[1
8
]
P.
M
u
ra
n
o
,
“
A
n
th
ro
p
o
m
o
rp
h
ic
v
s.
No
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o
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AL
L
2
0
0
2
:
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ive
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Acc
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h
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re
ti
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a
l
Per
sp
e
c
ti
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c
ti
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e
,
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n
d
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p
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e
,
v
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l
.
2
6
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.
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.
[1
9
]
L
.
N
.
S
c
h
n
e
id
e
r
a
n
d
A.
M
e
iro
v
ich
,
“
S
tu
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e
n
t
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u
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e
d
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a
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-
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