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p
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Dep
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m
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11
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m
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j
u
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s
@
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k
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.
n
et
1.
I
NT
RO
D
UCT
I
O
N
I
n
m
a
n
y
i
n
d
u
s
tr
ies,
t
h
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e
ar
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p
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ce
s
s
es
f
o
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s
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tin
g
m
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it
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th
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to
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t
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lu
m
e,
o
v
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all
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i
m
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s
io
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s
,
t
h
e
c
o
lo
r
,
an
d
ev
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c
h
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m
ical
co
m
p
o
s
itio
n
.
I
n
th
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ca
s
e,
v
ar
io
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s
o
p
tical,
elec
tr
o
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d
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ad
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ee
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s
y
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te
m
s
w
it
h
p
r
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a
m
co
n
tr
o
l
ar
e
u
s
ed
.
T
h
e
m
o
s
t
f
a
m
o
u
s
s
y
s
tem
s
o
f
m
ac
h
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a
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d
c
o
m
p
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t
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r
v
is
i
o
n
w
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th
d
ig
it
a
l
im
ag
e
p
r
o
c
e
s
s
in
g
[
1
]
-
[
3
]
.
H
o
w
ev
e
r
,
in
th
e
s
e
p
a
p
e
r
s
a
r
e
s
et
f
o
r
th
g
en
e
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l
t
e
ch
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e
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f
o
r
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e
c
o
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i
zi
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je
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ts
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it
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t
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th
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em
o
f
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tin
g
m
i
n
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r
a
ls
b
y
an
y
s
ig
n
s
.
I
n
[
4
]
,
[
5
]
,
an
o
v
er
v
ie
w
o
f
th
e
ch
o
ice
o
f
in
d
u
s
tr
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er
as
f
o
r
m
ac
h
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n
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s
y
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t
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s
,
w
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h
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e
b
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f
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r
cr
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tin
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m
i
n
er
al
s
o
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ti
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g
p
lan
t
s
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p
r
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p
o
s
ed
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w
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h
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t
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p
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s
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ith
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r
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o
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tin
g
o
b
j
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ts
.
A
k
n
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w
n
m
et
h
o
d
[
6
]
f
o
r
d
eter
m
i
n
in
g
t
h
e
g
r
an
u
lar
co
m
p
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s
itio
n
o
f
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u
s
h
ed
r
o
ck
in
q
u
ar
r
ies.
A
cc
o
r
d
in
g
to
th
is
m
et
h
o
d
,
th
e
r
o
c
k
m
as
s
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p
h
o
to
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r
ap
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at
an
y
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n
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le
an
d
,
o
n
th
e
b
asis
o
f
a
co
m
p
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ter
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o
g
r
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m
,
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r
o
ck
p
iece
s
ar
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ated
in
to
p
ar
ticl
e
s
ize
class
es.
T
h
i
s
m
et
h
o
d
allo
w
s
to
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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J
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&
C
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p
Sci
I
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N:
2502
-
4752
I
n
tellig
en
t m
a
ch
in
e
f
o
r
s
o
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tin
g
s
emi
-
p
r
ec
io
u
s
min
era
ls
(
Mikh
a
il P
o
lis
h
ch
u
k
)
1355
in
cr
ea
s
e
th
e
ac
cu
r
ac
y
o
f
d
eter
m
i
n
in
g
th
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g
r
an
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lar
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p
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n
o
f
th
e
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o
ck
in
th
e
to
tal
m
as
s
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o
w
e
v
er
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d
o
es
n
o
t
m
a
k
e
it p
o
s
s
ib
le
to
s
o
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t e
ac
h
s
to
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e
s
ep
ar
atel
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w
h
ich
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it
s
d
r
a
w
b
ac
k
.
I
n
th
e
m
et
h
o
d
[
7
]
,
[
8
]
w
h
e
n
s
o
r
tin
g
p
iece
g
o
o
d
s
,
th
e
s
elec
ti
o
n
cr
iter
io
n
i
s
th
e
m
in
i
m
u
m
o
f
s
p
ac
e
t
h
at
r
e
m
ain
s
f
r
ee
a
f
ter
ca
r
g
o
is
p
lace
d
.
I
f
w
e
u
s
e
t
h
e
an
a
lo
g
y
o
f
co
m
p
ar
i
n
g
t
h
e
v
o
l
u
m
e
o
f
th
e
m
i
n
er
al
s
to
ck
a
n
d
th
e
f
in
i
s
h
ed
p
r
o
d
u
ct,
th
is
m
eth
o
d
ca
n
b
e
ad
ap
ted
f
o
r
s
o
r
tin
g
s
e
m
ip
r
ec
io
u
s
s
to
n
es.
An
ex
a
m
p
le
o
f
a
m
ec
h
a
n
ical
s
o
r
ti
n
g
o
f
m
in
er
al
s
is
th
e
d
ev
ice
[
9
]
,
[
1
0
]
f
o
r
s
o
r
tin
g
s
o
lid
m
a
ter
ials
b
y
s
ize.
B
u
t
th
i
s
d
ev
ice
h
as
a
lo
w
s
o
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tin
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ac
c
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r
ac
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w
h
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h
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s
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o
t
ap
p
licab
le
f
o
r
p
r
ec
io
u
s
m
in
er
als.
An
in
ter
e
s
ti
n
g
e
x
a
m
p
l
e
is
t
h
e
co
n
tactles
s
s
o
r
tin
g
o
f
p
r
o
d
u
cts
u
s
in
g
v
id
e
o
ca
m
er
as
[
1
1
]
-
[
1
4
]
an
d
th
e
p
r
o
ce
s
s
in
g
o
f
th
e
r
esu
lti
n
g
i
m
a
g
es
f
o
r
s
o
r
tin
g
b
y
th
e
av
er
a
g
e
d
ia
m
eter
o
f
t
h
e
p
r
o
d
u
cts.
T
h
is
r
estrictio
n
is
ac
ce
p
tab
le
f
o
r
s
o
r
tin
g
f
r
u
it
s
,
b
u
t
n
o
t
ac
c
ep
tab
le
f
o
r
p
r
ec
io
u
s
an
d
s
e
m
i
-
p
r
ec
io
u
s
m
i
n
er
als
d
u
e
to
th
e
lo
w
ac
cu
r
ac
y
o
f
s
o
r
tin
g
.
Fo
r
ex
a
m
p
le,
in
ag
r
icu
ltu
r
e,
a
p
r
o
m
is
in
g
ar
ea
f
o
r
p
r
o
d
u
ct
s
o
r
tin
g
s
y
s
te
m
s
is
th
e
u
s
e
o
f
m
o
b
ile
r
o
b
o
ts
[
1
5
]
,
[
1
6
]
as
ac
tu
ato
r
s
.
B
u
t
u
n
f
o
r
tu
n
atel
y
,
th
ese
r
o
b
o
ts
ar
e
in
lack
o
f
o
p
tical
r
ec
o
g
n
itio
n
s
y
s
te
m
s
.
T
h
is
p
r
o
b
lem
ca
n
b
e
s
o
lv
ed
b
y
ap
p
l
y
in
g
r
esear
c
h
[
1
7
]
,
[
1
8
]
in
th
e
f
ield
o
f
m
ac
h
in
e
a
n
d
ar
tif
icia
l
in
te
lli
g
en
ce
,
as
w
e
ll
as
u
s
i
n
g
al
g
o
r
ith
m
s
f
o
r
d
etec
tin
g
o
b
j
ec
t
s
o
n
a
h
u
m
a
n
o
id
r
o
b
o
t
[
1
9
]
,
[
2
0
]
.
T
h
u
s
,
th
e
p
r
o
b
lem
o
f
s
o
r
ti
n
g
s
e
m
i
-
p
r
ec
io
u
s
m
i
n
er
als
w
it
h
th
e
g
o
al
o
f
r
ed
u
ci
n
g
w
aste
o
f
p
r
ec
io
u
s
r
a
w
m
ater
ials
r
e
m
ai
n
s
r
elev
an
t.
Un
li
k
e
s
t
u
d
ies [
4
]
,
[
5
]
,
th
is
w
o
r
k
is
t
h
e
f
ir
s
t to
p
r
o
p
o
s
e
s
o
r
tin
g
m
in
er
al
s
ac
co
r
d
in
g
to
s
u
c
h
f
ea
tu
r
es a
s
th
e
g
r
o
s
s
v
o
l
u
m
e
o
f
r
a
w
m
ater
ials
an
d
th
e
n
et
v
o
lu
m
e
o
f
th
e
f
u
t
u
r
e
j
ew
elr
y
.
I
n
co
n
tr
ast
to
tech
n
ical
s
o
lu
tio
n
s
[
5
]
-
[
1
0
]
,
th
is
s
t
u
d
y
f
o
r
th
e
f
ir
s
t
ti
m
e
p
r
o
p
o
s
ed
th
e
id
ea
is
b
ased
to
u
s
e
t
h
e
d
i
f
f
er
en
ce
b
et
w
ee
n
th
e
ab
o
v
e
g
r
o
s
s
v
o
lu
m
e
o
f
r
a
w
m
a
ter
ials
an
d
th
e
n
e
t
v
o
lu
m
e
o
f
j
e
w
elr
y
as
a
s
o
r
tin
g
cr
iter
io
n
.
A
s
th
e
ex
p
er
i
m
e
n
tal
s
t
u
d
ies
o
u
tli
n
ed
h
av
e
s
h
o
w
n
,
t
h
e
p
r
o
p
o
s
ed
s
o
r
tin
g
m
et
h
o
d
m
a
k
es
it
p
o
s
s
ib
le
to
s
av
e
u
p
to
2
0
%
o
f
th
e
in
i
tial
v
o
lu
m
e
o
f
m
i
n
er
als
in
w
a
s
te
o
f
s
e
m
i
-
p
r
ec
io
u
s
r
a
w
m
ater
ials
.
Als
o
p
r
o
p
o
s
ed
is
a
p
aten
ted
d
esig
n
[
1
8
]
o
f
a
f
u
n
d
a
m
e
n
tall
y
n
e
w
in
tel
lig
e
n
t
m
ac
h
in
e
f
o
r
s
o
r
tin
g
m
i
n
er
als.
T
h
e
d
esi
g
n
o
f
th
e
n
e
w
m
ac
h
i
n
e
is
d
is
ti
n
g
u
i
s
h
ed
b
y
t
h
e
p
r
esen
ce
o
f
t
h
r
ee
ch
ar
g
e
-
co
u
p
led
d
ev
ice
(
C
C
D)
m
atr
ices
f
o
r
id
en
tify
i
n
g
v
o
l
u
m
e
s
o
f
m
i
n
er
als
in
a
3
D
co
o
r
d
in
ate
s
y
s
te
m
,
as
w
ell
as
au
to
m
a
tic
d
ev
ices
f
o
r
d
is
tr
ib
u
tin
g
m
i
n
er
als
in
to
in
d
iv
id
u
al
co
n
tain
er
s
,
d
ep
en
d
i
n
g
o
n
t
h
e
v
o
lu
m
e
s
o
f
s
e
m
i
-
p
r
ec
io
u
s
m
i
n
e
r
al
s
to
n
es.
2.
RE
S
E
ARCH
M
E
T
H
O
D
T
h
e
m
eth
o
d
i
s
b
ased
o
n
th
e
u
s
e
o
f
c
h
ar
g
e
-
co
u
p
led
d
ev
ice
(
C
C
D)
[
2
1
]
,
[
2
2
]
m
atr
ice
s
w
it
h
a
s
p
ec
if
i
c
r
eso
lu
ti
o
n
,
m
ea
s
u
r
ed
in
p
ix
el
s
(
p
ix
el
-
p
ict
u
r
e
ele
m
e
n
t
)
p
er
in
ch
(
p
p
i
-
p
i
x
els
p
er
in
c
h
)
.
T
h
e
ess
en
ce
o
f
t
h
e
m
et
h
o
d
lies
o
n
t
h
e
f
ac
t
t
h
at
i
n
itiall
y
t
h
e
g
r
o
s
s
v
o
l
u
m
e
o
f
t
h
e
m
in
er
al
ar
r
iv
i
n
g
f
o
r
s
o
r
ti
n
g
is
d
eter
m
in
ed
,
an
d
th
en
i
t
is
co
m
p
ar
ed
w
ith
o
n
e
o
r
m
o
r
e
n
et
v
o
lu
m
es
o
f
m
a
n
u
f
ac
t
u
r
ed
p
r
o
d
u
cts
an
d
th
en
t
h
e
s
o
r
ted
m
i
n
er
al
is
s
en
t
to
co
n
tai
n
er
s
th
at
c
o
r
r
es
p
o
n
d
to
th
e
m
i
n
i
m
u
m
d
if
f
er
e
n
ce
b
et
w
ee
n
th
e
s
p
ec
i
f
ied
g
r
o
s
s
v
o
lu
m
e
o
f
t
h
e
w
o
r
k
p
iece
a
n
d
th
e
n
et
v
o
l
u
m
es
o
f
p
r
o
d
u
cts.
T
h
is
m
et
h
o
d
allo
w
s
u
s
to
m
in
i
m
ize
th
e
w
as
te
o
f
s
e
m
i
-
p
r
ec
io
u
s
an
d
p
r
ec
io
u
s
m
i
n
er
als i
n
t
h
e
m
an
u
f
ac
t
u
r
e
o
f
j
e
w
elr
y
f
r
o
m
t
h
e
m
w
ith
s
p
ec
if
i
ed
d
i
m
en
s
io
n
al
p
ar
am
eter
s
.
2
.
1
.
So
lutio
n o
f
t
he
pro
ble
m
un
der
co
ns
i
dera
t
io
n
T
h
e
m
et
h
o
d
an
d
d
esig
n
o
f
th
e
ap
p
ar
atu
s
f
o
r
s
o
r
tin
g
s
m
a
ll
s
ized
w
o
r
k
p
iece
s
f
r
o
m
m
i
n
er
als
an
d
s
e
m
ip
r
ec
io
u
s
s
to
n
e
s
p
r
o
p
o
s
e
d
ca
n
r
ed
u
ce
th
e
a
m
o
u
n
t
o
f
w
aste
i
n
th
e
p
r
o
ce
s
s
o
f
f
u
r
th
er
m
ec
h
a
n
ica
l
p
r
o
ce
s
s
in
g
o
f
m
i
n
er
als
f
o
r
t
h
e
p
u
r
p
o
s
e
o
f
m
an
u
f
ac
t
u
r
in
g
j
ew
elr
y
[
2
2
]
,
[
2
3
]
.
T
h
e
p
r
o
p
o
s
e
d
m
et
h
o
d
f
o
r
s
o
r
tin
g
m
i
n
er
als
i
s
ai
m
ed
at
in
cr
ea
s
i
n
g
th
e
v
o
l
u
m
e
o
f
f
in
i
s
h
ed
j
ew
elr
y
f
r
o
m
o
n
e
m
i
n
er
al.
T
h
e
tech
n
ical
s
o
lu
t
io
n
s
d
escr
ib
ed
ca
n
b
e
u
s
ed
to
in
cr
ea
s
e
th
e
ef
f
ic
ien
c
y
o
f
t
h
e
j
e
w
elr
y
i
n
d
u
s
tr
y
i
n
th
e
m
a
n
u
f
ac
t
u
r
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o
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s
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m
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s
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to
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s
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s
a
m
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,
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m
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s
,
g
ar
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,
to
p
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I
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r
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as s
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n
Fi
g
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r
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1
.
Fig
u
r
e
1
.
E
x
a
m
p
les o
f
s
e
m
ip
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u
s
m
in
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al
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
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2
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T
he
m
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m
inera
ls
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co
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W
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w
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ll
co
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id
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th
e
s
o
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tin
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m
et
h
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d
b
y
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o
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ak
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g
j
e
w
elr
y
i
n
th
e
f
o
r
m
o
f
b
ea
d
s
[
1
8
]
,
f
o
r
ex
a
m
p
le,
f
o
r
b
ea
d
s
,
n
ec
k
l
ac
es,
b
r
ac
elets,
an
d
s
i
m
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j
ew
elr
y
.
T
h
e
task
i
s
to
p
lace
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e
m
ax
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m
u
m
n
u
m
b
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f
f
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tu
r
e
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cts,
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er
,
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ea
ch
m
i
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s
to
n
e.
T
h
en
,
w
h
en
b
il
lets
f
r
o
m
m
i
n
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ar
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s
a
w
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,
it see
m
s
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le
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n
Fig
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r
e
2
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C
C
D
m
atr
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f
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in
teg
r
ated
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it
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e
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B
ased
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atr
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o
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er
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ased
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T
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e
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atr
ices
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h
o
wn
in
F
ig
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r
e
2
.
Na
m
e
l
y
:
Fi
g
u
r
e
s
2
(
a)
“
Z
X”,
(
b
)
“Z
Y”,
(
c)
“
X
Y”,
ar
e
lo
ca
ted
in
t
h
e
co
r
r
esp
o
n
d
in
g
p
lan
e
s
o
f
th
e
C
ar
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a
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d
in
ate
s
y
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m
XYZ
an
d
h
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e
a
p
h
y
s
ica
l
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iz
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A
×
B
w
it
h
a
p
i
x
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s
ize
o
f
"
c"
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d
th
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u
m
b
er
(
ce
lls
)
f
o
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ch
co
o
r
d
in
ate
f
r
o
m
1
,
2
,
3
.
.
.
to
"
n
"
.
Ma
tr
ices
a
r
e
ch
ar
ac
ter
ized
b
y
a
ce
r
tain
r
eso
lu
ti
o
n
,
m
ea
s
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r
ed
in
p
i
x
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(
p
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x
el
-
P
ictu
r
e
E
le
m
e
n
t)
p
er
in
c
h
(
p
p
i
–
p
ix
els
p
er
in
ch
)
.
I
n
ac
co
r
d
an
ce
w
i
th
th
e
p
r
o
p
o
s
ed
m
et
h
o
d
f
o
r
s
o
r
tin
g
m
i
n
er
als,
tec
h
n
o
lo
g
ica
l o
p
er
atio
n
s
ar
e
p
er
f
o
r
m
ed
in
t
h
e
f
o
llo
w
i
n
g
s
eq
u
e
n
ce
in
s
tep
s
[
2
4
]
.
Step
1
:
T
h
e
n
ex
t
m
i
n
er
al
to
b
e
s
o
r
ted
an
d
s
h
o
w
n
in
Fig
u
r
e
2
(
d
)
,
s
er
v
es
in
th
e
v
id
eo
r
ev
i
e
w
ar
ea
o
f
th
e
t
h
r
ee
ca
m
er
as.
A
t
th
i
s
s
tep
,
th
r
ee
p
r
o
j
ec
tio
n
s
o
f
t
h
e
m
i
n
e
r
al
ar
e
tak
e
n
:
(
a)
f
r
o
n
tal,
(
b
)
p
r
o
f
il
e
,
an
d
(
c)
p
lan
v
ie
w
in
th
e
c
ar
tesi
a
n
co
o
r
d
in
ate
s
y
s
te
m
Fi
g
u
r
e
(
d
)
“
XY
Z
”
.
T
h
e
ar
ea
o
f
ea
ch
p
r
o
jectio
n
is
li
m
ited
b
y
t
h
e
co
n
to
u
r
s
o
f
F
zx
, F
zy
, F
xy
i
m
ag
e
s
h
a
v
in
g
t
h
e
co
r
r
esp
o
n
d
in
g
s
iz
es H
z
×L
x
, H
z
×B
y
an
d
B
y
×L
x
.
Fig
u
r
e
2
.
A
r
r
an
g
e
m
en
t o
f
th
r
e
e
C
C
D
-
m
atr
ices i
n
t
h
e
p
lan
es
o
f
th
e
XY
Z
co
o
r
d
in
ate
s
y
s
te
m
:
(
a)
in
co
o
r
d
in
ates "
Z
Y"
,
(
b
)
in
co
o
r
d
in
ates "
XY
"
,
(
c
)
in
co
o
r
d
in
ates "
XYZ
"
Step
2
:
Usi
n
g
th
e
p
r
o
ce
s
s
o
r
o
f
th
e
co
n
tr
o
l
u
n
it,
th
e
n
u
m
b
er
o
f
p
ix
el
s
co
n
tai
n
ed
in
th
e
p
r
o
j
e
ctio
n
lo
o
p
o
f
th
e
m
in
er
al
its
e
lf
i
s
ca
lcu
la
ted
o
n
ea
ch
o
f
th
e
th
r
ee
C
C
D
m
a
tr
ices
o
f
t
h
e
r
esp
ec
tiv
e
ca
m
er
as.
T
h
e
n
u
m
b
er
o
f
p
ix
els
p
er
r
eg
io
n
b
o
u
n
d
e
d
b
y
t
h
e
o
u
tl
in
e
o
f
th
e
m
i
n
er
al
p
r
o
j
ec
tio
n
is
th
e
ar
ea
o
f
th
e
co
r
r
esp
o
n
d
in
g
p
r
o
j
ec
tio
n
,
n
a
m
el
y
f
zx
, f
zy
a
n
d
f
xy
.
Step
3
:
T
h
en
,
d
eter
m
i
n
e
t
h
e
g
r
o
s
s
v
o
lu
m
es
o
f
t
h
e
m
i
n
er
al
in
t
h
e
d
ir
ec
tio
n
o
f
t
h
e
co
r
r
esp
o
n
d
in
g
co
o
r
d
in
ate
ax
es,
n
a
m
el
y
:
V
1
=f
zx
×B
y
;
V
2
=f
zy
×L
x
;
V
2
=f
xy
×H
z
.
Kn
o
w
i
n
g
t
h
e
r
eso
l
u
tio
n
v
alu
e
o
f
th
e
v
id
eo
ca
m
er
a,
all
m
ea
s
u
r
e
m
en
t
r
es
u
lts
in
p
ix
el
s
ca
n
b
e
co
n
v
er
t
ed
in
to
m
etr
ic
v
alu
e
s
.
So
,
with
t
h
e
eq
u
alit
y
o
f
1
in
ch
=
2
5
.
4
m
m
,
ac
co
r
d
in
g
to
th
e
f
o
r
m
u
la
2
5
.
4
/δ,
w
h
er
e
i
s
th
e
r
eso
l
u
tio
n
o
f
t
h
e
v
id
eo
c
a
m
er
a,
w
e
ca
n
g
et
th
e
p
ix
el
s
ize,
an
d
t
h
er
ef
o
r
e
all
m
ea
s
u
r
e
m
e
n
t
s
in
m
m
,
w
h
ich
is
n
ee
d
ed
w
h
e
n
co
m
p
ar
in
g
t
h
e
g
r
o
s
s
v
o
lu
m
e
s
o
f
th
e
m
i
n
er
al
w
it
h
t
h
e
ac
t
u
al
v
o
l
u
m
e
s
o
f
m
an
u
f
ac
t
u
r
ed
p
r
o
d
u
cts.
T
h
e
g
r
o
s
s
v
o
l
u
m
es
o
b
tai
n
e
d
at
th
i
s
s
tep
o
f
t
h
e
m
et
h
o
d
im
p
le
m
e
n
tatio
n
in
cl
u
d
e
ce
lls
(
p
ix
e
ls
)
o
f
th
e
s
p
ac
e
o
f
n
o
t
o
n
l
y
o
f
th
e
m
in
er
al
b
o
d
y
,
b
u
t
also
o
f
th
e
i
m
a
g
e
ce
ll
i
n
th
e
d
ir
ec
tio
n
o
f
t
h
e
co
r
r
esp
o
n
d
in
g
co
o
r
d
in
a
te
ax
es.
T
h
is
er
r
o
r
f
o
r
in
d
u
s
tr
ial
s
o
r
tin
g
is
n
o
t
s
ig
n
i
f
ica
n
t,
b
ec
au
s
e
m
o
d
er
n
ca
m
co
r
d
er
s
w
it
h
1
/4
-
in
c
h
m
atr
ices
an
d
r
eso
lu
tio
n
s
u
p
to
1
2
0
0
×7
2
0
h
av
e
a
p
h
y
s
ical
p
ix
e
l
s
ize
f
r
o
m
0
.
0
0
5
m
m
to
0
.
0
0
9
m
m
.
Giv
e
n
t
h
at
f
r
o
m
th
e
p
o
in
t
o
f
v
ie
w
o
f
i
n
d
u
s
tr
ial
f
ea
s
ib
ili
t
y
,
th
e
s
ize
r
an
g
e
o
f
p
er
f
o
r
m
s
o
f
s
m
all
-
s
ized
m
i
n
er
als
is
i
n
t
h
e
r
an
g
e
f
r
o
m
5
m
m
to
3
5
m
m
,
th
e
in
d
icate
d
er
r
o
r
in
d
eter
m
in
i
n
g
th
e
g
r
o
s
s
v
o
lu
m
e
o
f
th
e
m
i
n
er
al
w
ill n
o
t e
x
ce
ed
1
% o
f
th
e
ac
t
u
al
v
o
l
u
m
e
o
f
t
h
e
m
in
er
al.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esia
n
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4752
I
n
tellig
en
t m
a
ch
in
e
f
o
r
s
o
r
tin
g
s
emi
-
p
r
ec
io
u
s
min
era
ls
(
Mikh
a
il P
o
lis
h
ch
u
k
)
1357
Step
4
:
A
f
ter
all,
ch
o
o
s
e
th
e
m
in
i
m
u
m
v
o
l
u
m
e
V
m
in
f
r
o
m
th
e
o
b
tain
ed
th
r
ee
g
r
o
s
s
v
o
l
u
m
e
s
an
d
co
m
p
ar
e
i
t
w
it
h
t
h
e
k
n
o
w
n
v
a
lu
es
o
f
t
h
e
v
o
l
u
m
e
s
o
f
f
u
t
u
r
e
p
r
o
d
u
cts
o
r
s
e
m
i
-
f
i
n
is
h
ed
p
r
o
d
u
cts,
as
s
h
o
w
n
i
n
Fig
u
r
e
3
.
Fu
tu
r
e
p
r
o
d
u
cts
,
as
a
r
u
le,
h
av
e
t
h
e
co
r
r
ec
t
s
h
ap
e,
f
o
r
ex
a
m
p
le,
a
b
all,
h
ex
ag
o
n
al
p
r
is
m
,
r
h
o
m
b
o
h
ed
r
a,
cu
b
e
a
n
d
th
e
li
k
e,
d
ep
en
d
in
g
o
n
th
e
t
y
p
e
o
f
cu
t
o
f
th
e
p
r
o
d
u
ct
f
r
o
m
t
h
e
m
in
er
al.
Fo
r
a
b
etter
u
n
d
er
s
ta
n
d
in
g
o
f
t
h
e
m
et
h
o
d
,
as
a
n
e
x
a
m
p
le,
co
n
s
id
er
a
s
p
ec
ial
ca
s
e
o
f
th
e
m
an
u
f
ac
tu
r
e
o
f
b
alls
o
f
n
et
v
o
lu
m
es
V
i
a
n
d
th
e
r
ad
iu
s
R
i
f
o
r
a
n
ec
k
lace
o
r
a
m
b
er
b
r
ac
e
let,
w
h
er
e
“
i”
is
th
e
n
u
m
b
er
o
f
th
e
b
all,
an
d
it
s
v
o
lu
m
e,
as
k
n
o
w
,
i
s
eq
u
al
V
i
=4
/3
×
R
i
3
.
A
s
ca
n
b
e
s
ee
n
f
r
o
m
Fi
g
u
r
e
s
3
(a
)
,
(
b
)
,
(
c)
f
r
o
m
th
e
s
a
m
e
m
i
n
er
al
it
is
p
o
s
s
ib
le
to
p
r
o
d
u
ce
a
d
if
f
er
en
t
n
u
m
b
er
o
f
b
alls
w
ith
d
i
f
f
e
r
en
t
d
ia
m
eter
s
.
A
s
a
cr
iter
io
n
f
o
r
r
atio
n
al
ch
o
ice
ac
co
r
d
in
g
to
th
is
m
et
h
o
d
tak
e
th
e
m
i
n
i
m
u
m
d
i
f
f
er
en
ce
i
n
v
o
lu
m
e
V
m
in
m
i
n
er
al
an
d
v
o
lu
m
e
o
f
t
h
e
f
u
t
u
r
e
p
r
o
d
u
ct
,
i.e
.
b
all
V
i
,
n
am
el
y
:
V
m
in
-
V
i
=∆
m
in
,
w
h
er
e
∆
m
in
–
th
e
m
i
n
i
m
u
m
a
m
o
u
n
t
o
f
i
n
ev
i
tab
le
w
aste
o
f
r
a
w
m
ater
ials
.
T
h
e
p
o
s
s
ib
le
n
u
m
b
er
o
f
b
alls
i
s
d
eter
m
i
n
ed
b
y
t
h
e
m
in
i
m
u
m
d
i
f
f
er
e
n
ce
i
n
t
h
e
p
r
o
j
ec
tio
n
s
o
f
t
h
e
ar
ea
s
f
m
in
m
in
er
al
a
n
d
b
all
f
i
=
×R
i
2
,
i.e
:
f
m
in
-
R
i
2
=δ
min
,
w
h
er
e
δ
m
in
–
t
h
e
m
i
n
i
m
u
m
p
ar
t
o
f
th
e
m
i
n
er
al
p
r
o
j
ec
tio
n
ar
ea
r
em
a
in
i
n
g
a
f
te
r
ap
p
ly
i
n
g
a
d
if
f
er
e
n
t
n
u
m
b
er
o
f
b
alls
.
I
t
i
s
o
b
v
io
u
s
t
h
at
w
h
e
n
d
eter
m
i
n
i
n
g
δ
m
in
,
in
t
h
e
ca
s
e
o
f
t
w
o
b
all
s
as
s
h
o
w
n
i
n
F
ig
u
r
e
3
(
b
)
,
th
e
c
u
tt
i
n
g
p
lan
e
o
f
t
h
e
m
i
n
er
al
w
i
ll
p
ass
alo
n
g
s
ec
tio
n
A
–
A
,
an
d
in
t
h
e
ca
s
e
o
f
m
a
n
u
f
ac
t
u
r
in
g
t
h
r
ee
b
alls
,
th
e
cu
tti
n
g
o
f
t
h
e
m
i
n
er
al
w
ill
b
e
ca
r
r
ied
o
u
t
alo
n
g
s
ec
tio
n
s
B
–
B
an
d
C
–
C
as
s
h
o
w
n
i
n
Fi
g
u
r
e
3
(
c)
.
Step
5
:
B
ased
o
n
th
e
r
esu
lts
o
f
s
elec
ti
n
g
t
h
e
m
i
n
i
m
u
m
a
m
o
u
n
t
o
f
v
a
lu
ab
le
r
a
w
m
ater
ial
w
aste
a
n
d
d
eter
m
in
i
n
g
th
e
r
atio
n
a
l
a
m
o
u
n
t
o
f
f
u
t
u
r
e
p
r
o
d
u
cts
f
r
o
m
o
n
e
m
in
er
al,
t
h
is
m
i
n
er
al
is
s
e
n
t
to
a
co
n
tain
er
th
at
co
r
r
esp
o
n
d
s
to
th
e
m
i
n
i
m
u
m
d
if
f
er
e
n
ce
b
et
w
ee
n
t
h
e
i
n
d
icate
d
g
r
o
s
s
v
o
l
u
m
e
o
f
th
e
w
o
r
k
p
iece
a
n
d
th
e
n
et
v
o
lu
m
e
o
f
p
r
o
d
u
cts.
T
h
u
s
,
i
n
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le
4
.
T
h
e
r
esu
lts
o
f
t
h
e
ex
p
er
i
m
en
t
V
o
l
u
me
V
,
mm
3
(
w
i
t
h
t
h
e
n
u
m
b
e
r
o
f
e
x
p
e
r
i
me
n
t
s
m
→
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1
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8
;
y
i
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l
n
V
i
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A
v
e
r
a
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e
s
№
e
x
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e
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e
n
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e
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1
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y
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V
2
(
y
i
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V
3
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y
i
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1
8
0
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8
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9
9
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4
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8
.
7
6
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9
9
2
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9
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2
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7
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3
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7
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(
6
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(
5
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7
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8
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7
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4
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1
6
8
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4
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0
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6
.
1
9
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4
5
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(
6
.
1
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5
5
0
4
9
6
5
3
0
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5
.
7
)
3
4
0
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5
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8
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2
7
0
3
0
3
6
2
2
5
0
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7
.
7
)
2
0
5
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7
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6
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2
5
6
0
2
2
8
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7
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0
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8
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4
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8
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8
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4
)
4
1
0
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8
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3
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4
7
0
0
4
4
3
3
T
ab
le
5
.
C
o
d
e
d
v
alu
es a
n
d
v
ar
ian
ce
s
o
f
e
x
p
er
i
m
e
n
tal
r
es
u
lt
s
C
o
d
e
d
v
o
l
u
me
v
a
l
u
e
s
D
i
sp
e
r
si
o
n
№
e
x
p
e
r
i
e
n
c
e
=
̂
=
∑
1
(
̂
−
)
2
1
9
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0
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8
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9
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7
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3
4
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6
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7
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8
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6
6
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6
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.
3
9
0
.
0
0
0
1
∑
(
1
−
̅
1
)
2
=
0
.
0576
1
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esia
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J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4752
I
n
tellig
en
t m
a
ch
in
e
f
o
r
s
o
r
tin
g
s
emi
-
p
r
ec
io
u
s
min
era
ls
(
Mikh
a
il P
o
lis
h
ch
u
k
)
1361
T
h
e
o
b
tain
ed
d
ata
allo
w
to
d
et
er
m
in
e
t
h
e
n
u
m
er
ical
v
al
u
es
o
f
t
h
e
co
n
s
ta
n
t
co
e
f
f
ic
ien
t
s
i
n
(
6
)
.
Du
e
to
th
e
f
ac
t
t
h
at
th
e
f
u
ll
f
ac
to
r
ial
ex
p
er
i
m
e
n
t
r
ef
er
s
to
o
r
th
o
g
o
n
al
p
lan
s
,
t
h
e
ca
lcu
latio
n
o
f
r
eg
r
ess
io
n
co
ef
f
ic
ien
t
s
is
g
r
ea
tl
y
s
i
m
p
li
f
ied
.
A
cc
o
r
d
in
g
to
th
e
i
n
s
tr
u
cti
on
s
[
2
4
]
th
e
y
ca
n
b
e
d
ef
in
ed
as
(
7
)
.
(
7
)
w
h
er
e
:
i
-
e
x
p
er
i
m
e
n
t
n
u
m
b
er
;
m
is
t
h
e
n
u
m
b
er
o
f
s
t
u
d
ied
p
o
in
ts
i
n
th
e
p
lan
;
-
th
e
av
er
a
g
e
r
esp
o
n
s
e
to
th
e
n
u
m
b
er
o
f
r
ep
ea
ted
ex
p
er
i
m
en
ts
at
th
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co
r
r
esp
o
n
d
in
g
p
o
in
t o
f
th
e
m
atr
i
x
o
f
t
h
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ex
p
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i
m
en
t
al
p
lan
.
W
h
en
i
=0
,
t
h
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ef
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icie
n
t
i
s
ca
lcu
lated
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n
v
ar
y
i
n
g
ea
ch
f
ac
to
r
at
t
w
o
lev
e
ls
(
+1
)
an
d
(
-
1
)
,
th
e
ca
lcu
latio
n
s
ar
e
r
ed
u
ce
d
to
a
s
s
ig
n
i
n
g
a
co
lu
m
n
o
f
s
ig
n
s
(
+,
-
)
to
th
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co
lu
m
n
o
f
th
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co
r
r
es
p
o
n
d
in
g
f
ac
to
r
an
d
alg
eb
r
aic
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d
itio
n
o
f
th
e
o
b
tain
ed
v
al
u
es.
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h
e
n
ex
t
d
iv
i
s
io
n
o
f
th
e
o
b
tain
ed
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l
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y
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h
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n
u
m
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er
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in
v
e
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ti
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ated
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n
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th
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th
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ir
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alc
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th
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o
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th
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co
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n
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s
an
d
s
u
b
s
ti
tu
t
in
g
th
e
m
i
n
(
6
)
,
w
e
o
b
tain
th
e
r
eg
r
ess
io
n
eq
u
atio
n
.
Af
ter
s
tatis
ti
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l
an
al
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o
f
th
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ex
p
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m
e
n
tal
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lt
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w
h
ic
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i
n
clu
d
ed
ch
ec
k
in
g
t
h
e
h
o
m
o
g
e
n
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y
o
f
th
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v
ar
ia
n
c
es
o
f
th
e
e
x
p
er
im
e
n
tal
d
ata
i
n
T
ab
le
4
b
y
Ko
ch
r
en
's
cr
iter
io
n
,
ch
ec
k
i
n
g
t
h
e
s
i
g
n
i
f
ican
ce
o
f
t
h
e
co
ef
f
icie
n
t
s
o
f
th
e
r
eg
r
es
s
io
n
eq
u
a
tio
n
u
s
in
g
Stu
d
e
n
t
'
s
t
-
te
s
t,
a
n
d
also
t
h
e
ad
eq
u
ac
y
o
f
th
e
m
o
d
el
to
th
e
r
ea
l
p
r
o
ce
s
s
(
n
a
m
e
l
y
,
t
h
e
ac
cu
r
ac
y
o
f
t
h
e
ex
p
er
i
m
e
n
tal
d
ata)
w
as
v
er
if
ied
b
y
t
h
e
w
ell
-
k
n
o
w
n
Fi
s
h
er
cr
iter
io
n
[
24
]
-
[
27
]
.
T
h
e
f
in
al
v
er
s
io
n
o
f
t
h
e
r
eg
r
ess
io
n
m
o
d
el
o
f
t
h
e
m
i
n
er
al
s
o
r
ti
n
g
p
r
o
ce
s
s
,
=
7
.
614
+
0
.
146
1
+
0
.
116
2
+
0
.
014
3
(
8
)
a
m
u
ltip
le
co
r
r
elatio
n
co
ef
f
ici
en
t
w
a
s
u
s
ed
to
esti
m
ate
th
e
c
o
n
tr
ib
u
tio
n
o
f
r
eg
r
es
s
io
n
co
ef
f
icien
t
s
to
th
e
m
o
d
el
eq
u
atio
n
.
I
n
t
h
i
s
ca
s
e,
t
h
e
co
r
r
elatio
n
co
ef
f
icien
t
w
as
K
=0
.
9
9
8
7
,
s
o
th
e
r
eg
r
ess
io
n
(
8
)
al
m
o
s
t
co
m
p
letel
y
d
escr
ib
es th
e
r
esu
lts
o
f
t
h
e
e
x
p
er
im
e
n
t
[
2
8
]
-
[
33]
.
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
h
e
(
8
)
in
th
e
co
d
ed
v
ar
iab
l
es
estab
li
s
h
e
s
a
s
tatis
tical
r
el
atio
n
s
h
ip
b
et
w
ee
n
th
e
p
ar
a
m
eter
o
f
t
h
e
v
o
lu
m
e
o
f
th
e
m
in
er
al
V
an
d
t
h
e
f
ac
to
r
s
,
ie
th
e
len
g
t
h
L
,
w
i
d
th
B
an
d
h
eig
h
t
H
o
f
th
e
s
to
n
es
o
f
s
e
m
i
-
p
r
ec
io
u
s
m
i
n
er
als,
i
n
t
h
is
ca
s
e
a
m
i
n
er
a
l
s
u
c
h
a
s
a
m
b
er
.
B
y
an
al
y
zi
n
g
th
e
v
al
u
e
an
d
s
i
g
n
o
f
ea
c
h
r
e
g
r
ess
io
n
co
ef
f
icie
n
t
(
8
)
,
it
is
p
o
s
s
ib
le
to
o
b
tain
r
e
liab
le
in
f
o
r
m
at
io
n
ab
o
u
t
th
e
in
f
lu
e
n
ce
o
f
f
ac
to
r
s
o
n
th
e
p
ar
a
m
eter
o
f
m
in
er
a
l
v
o
l
u
m
e.
3
.
1
.
I
nv
estig
a
t
i
o
n o
f
t
he
re
g
re
s
s
io
n
m
o
del o
f
t
he
re
s
po
n
s
e
f
un
ct
io
n
In
(
8
)
,
th
e
co
e
f
f
ic
ien
t
s
f
o
r
v
a
r
iab
les
ar
e
p
o
s
itiv
e,
th
er
e
f
o
r
e,
th
e
ap
p
r
o
x
i
m
atio
n
o
f
th
e
len
g
th
o
f
th
e
m
i
n
er
al
to
its
w
id
t
h
an
d
h
ei
g
h
t
in
th
e
s
elec
tio
n
o
f
m
in
er
al
s
co
n
tr
ib
u
tes
to
a
m
o
r
e
ef
f
icie
n
t
u
s
e
o
f
t
h
e
m
ater
ia
l
o
f
s
u
c
h
r
a
w
m
ater
ials
a
s
a
m
b
e
r
.
Ho
w
ev
er
,
th
e
p
ar
a
m
eter
o
f
t
h
e
h
ei
g
h
t o
f
t
h
e
m
in
er
al
at
a
s
t
ab
le
p
o
s
itio
n
in
t
h
e
r
ec
o
g
n
itio
n
zo
n
e
as
s
h
o
w
n
i
n
Fig
u
r
e
4
,
j
u
d
g
in
g
b
y
t
h
e
v
alu
e
o
f
th
e
co
ef
f
icie
n
t,
h
as
less
ef
f
ec
t
o
n
th
e
d
eter
m
in
at
io
n
o
f
th
e
v
o
lu
m
e
o
f
th
e
m
i
n
er
al.
T
h
is
i
s
d
u
e
to
th
e
f
ac
t
t
h
at
i
n
t
h
e
p
r
o
ce
s
s
o
f
p
ass
in
g
t
h
e
zo
n
e
o
f
m
i
n
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al
r
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o
g
n
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tio
n
o
n
t
h
e
b
e
lt
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n
v
e
y
o
r
,
th
e
m
i
n
er
al
s
to
n
es
w
ill
al
w
a
y
s
b
e
i
n
a
s
tab
le
p
o
s
itio
n
u
n
d
er
th
e
ac
tio
n
o
f
th
e
ir
w
ei
g
h
t.
I
n
o
t
h
er
w
o
r
d
s
,
th
e
len
g
t
h
a
n
d
wid
th
o
f
th
e
m
in
er
al
s
to
n
e
w
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ll
d
o
m
i
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ate.
Ot
h
er
co
ef
f
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n
t
s
f
o
r
p
air
w
is
e
in
t
er
ac
tio
n
as
w
ell
a
s
tr
ip
le
i
n
te
r
ac
tio
n
o
f
f
ac
to
r
s
w
er
e
ex
c
lu
d
ed
as
s
tati
s
ticall
y
in
s
i
g
n
i
f
ican
t
ac
co
r
d
in
g
to
Stu
d
en
t
'
s
cr
iter
io
n
.
No
te
th
at
th
e
in
f
lu
e
n
ce
o
f
i
n
ter
ac
tio
n
ef
f
ec
t
s
is
m
a
n
i
f
ested
o
n
l
y
in
th
e
co
m
b
i
n
atio
n
s
o
f
f
ac
to
r
s
an
d
d
o
es
n
o
t
ap
p
ly
to
th
e
an
al
y
s
i
s
o
f
th
e
in
f
l
u
en
ce
o
f
ea
c
h
f
ac
to
r
s
ep
ar
atel
y
.
T
h
e
au
to
n
o
m
o
u
s
i
n
f
l
u
en
ce
o
f
f
ac
to
r
s
,
as
n
o
ted
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o
v
e,
is
d
eter
m
in
ed
b
y
th
e
m
a
g
n
it
u
d
e
an
d
s
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Fi
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's test
[
2
4
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,
[
2
6
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.
T
ests
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RE
F
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[1
]
B.
Ra
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f
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C.
S
ti
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T
h
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Ro
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,
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.
[5
]
B.
I.
Ola
d
a
p
o
,
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t
a
l.
,
"
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o
d
e
l
d
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sig
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n
d
sim
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latio
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o
f
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u
to
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ti
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r,
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T
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.
[6
]
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Ro
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M
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L
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G
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li
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sh
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p
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[7
]
S
.
P
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"
Co
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f
ig
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ra
ti
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ter
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.
[8
]
T
a
k
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P
.
R.
d
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Jo
n
g
,
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A
u
to
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R.
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Rich
a
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if
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[1
1
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Y.
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iu
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Yu
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Ch
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re
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2
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[1
3
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B.
G
.
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:
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1.
[1
4
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I.
P
a
rk
h
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y
,
J.
Bo
ik
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a
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d
O.
Ero
m
e
n
k
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,
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[1
5
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M
.
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c
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k
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.
T
k
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c
h
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Bo
ik
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Er
o
m
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o
,
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6
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S
.
Bo
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N.E
.
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