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[
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y
s
u
r
p
r
is
i
n
g
d
i
s
co
v
er
ies
f
r
o
m
th
e
p
o
i
n
t
o
f
v
ie
w
o
f
th
e
p
h
y
s
ic
s
o
f
t
h
e
co
n
d
en
s
ed
m
a
tter
b
u
t
also
b
y
th
e
s
tr
o
n
g
s
tak
e
o
f
m
a
n
u
f
ac
t
u
r
in
g
o
f
elec
tr
o
n
ic
co
m
p
o
n
en
t
s
[1
]
-
[
3
]
.
I
n
d
ee
d
,
th
e
p
er
m
a
n
e
n
t
r
ed
u
ctio
n
i
n
t
h
e
s
i
ze
o
f
ar
ch
itec
tu
r
es
in
m
icr
o
elec
tr
o
n
ics
r
eq
u
ir
es
in
th
e
lo
n
g
ter
m
to
ta
k
e
i
n
to
ac
co
u
n
t
t
h
e
q
u
a
n
tu
m
p
h
e
n
o
m
en
a
w
h
ic
h
co
n
s
id
er
ab
l
y
m
o
d
if
y
t
h
e
p
h
y
s
ic
.
A
n
e
w
g
e
n
er
atio
n
o
f
elec
tr
o
n
ic
d
ev
ices i
n
clu
d
i
n
g
th
e
HE
MT
tr
an
s
is
to
r
h
as b
ee
n
d
ev
elo
p
ed
tak
in
g
ad
v
a
n
ta
g
e
o
f
t
h
ese
q
u
a
n
tu
m
e
f
f
ec
t
s
.
T
h
e
s
i
m
u
latio
n
e
n
v
ir
o
n
m
en
t
u
s
ed
is
u
n
d
o
u
b
ted
l
y
o
f
p
ar
a
m
o
u
n
t
i
m
p
o
r
tan
ce
,
s
in
ce
th
e
r
elia
b
ilit
y
a
n
d
ac
cu
r
ac
y
o
f
t
h
e
r
esu
lts
d
ep
en
d
d
ir
ec
tly
o
n
it.
I
ni
t
ial
l
y
,
we
h
a
d
b
ee
n
th
i
n
k
i
n
g
a
b
o
u
t
th
e
p
o
s
s
i
bi
l
i
t
i
e
s
of
u
s
i
n
g
MA
T
L
A
B
to
r
u
n
o
u
r
si
m
u
lati
o
n
s
.
T
h
e
re
w
e
re
s
e
v
e
r
a
l
r
ea
s
o
ns
f
o
r
th
i
s
c
o
n
s
id
e
r
a
t
i
o
n
.
F
ir
s
t
o
f
a
l
l
,
M
A
T
L
A
B
i
s
a
d
i
s
t
i
n
c
t
i
v
e
l
y
w
e
l
l
-
k
n
o
w
n
p
r
o
g
r
a
m
m
i
n
g
la
n
g
u
a
g
e
,
a
nd
is
o
n
e
w
h
i
c
h
i
s
hi
g
h
l
y
a
c
c
lai
m
ed
in
th
e
s
c
ien
ti
f
i
c
,
e
n
g
i
n
e
e
ri
n
g
a
nd
th
e
a
c
a
d
e
m
i
c
c
om
m
u
ni
t
y
a
s
a
w
h
o
l
e
.
Mo
s
t
of
t
h
e
r
e
s
e
a
r
c
h
wo
r
k
we
h
a
d
s
tu
d
i
e
d
f
o
r
th
e
p
u
r
p
o
s
e
of
th
i
s
p
a
p
e
r
w
a
s
e
mp
l
o
y
e
d
in
MA
T
L
A
B
in
o
n
e
w
a
y
o
r
th
e
o
th
e
r
.
D
u
e
to
i
t
s
m
a
s
s
i
v
e
p
o
p
u
la
r
i
t
y
,
c
ode
e
x
a
mp
l
e
s
a
nd
tu
t
o
r
i
a
ls
w
e
r
e
r
ea
di
l
y
a
v
a
i
l
a
b
le
o
n
l
i
n
e
.
T
h
e
MA
T
L
A
B
e
n
v
ir
o
n
m
e
n
t
ca
n
s
ea
m
l
e
ss
l
y
m
a
n
ip
u
la
t
e
m
at
r
ic
e
s
a
nd
a
ls
o
c
a
m
e
in
w
i
th
a
c
om
m
a
n
d
-
l
i
ne
in
t
e
r
f
a
ce
,
th
u
s
m
a
k
i
n
g
it
a
s
u
i
t
a
b
le
to
o
l
f
o
r
i
m
p
le
m
e
nt
i
ng
n
u
m
e
r
ic
a
l
te
c
h
n
iq
u
e
s
,
su
c
h
a
s
th
e
F
in
i
te
Di
f
fe
r
e
n
c
e
M
e
th
o
d
.
Ho
we
v
e
r,
si
m
u
lat
in
g
in
MA
T
L
AB
m
e
a
nt
d
e
si
g
n
i
ng
a
nd
c
odi
n
g
e
v
e
r
y
a
s
p
ec
t
of
th
e
s
y
s
te
m
f
r
o
m
s
c
r
a
tch
,
a
nd
we
f
e
lt
th
a
t
th
i
s
w
a
s
s
o
m
e
w
h
a
t
of
a
r
e
p
e
t
i
t
i
ve
p
r
o
c
e
ss
[
4
]
.
W
e
w
e
re
lo
o
k
i
n
g
f
o
r
a
s
i
m
u
latio
n
e
n
v
ir
o
n
m
e
n
t
th
at
w
o
u
ld
a
l
l
ow
us
to
g
e
t
s
ta
r
ted
r
i
g
ht
a
w
a
y
,
a
nd
w
i
th
m
i
ni
m
a
l
e
f
f
o
r
t.
A
l
th
o
u
g
h
we
w
e
r
e
lo
o
k
i
ng
f
o
r
si
m
pl
i
c
i
t
y
a
nd
ea
se
of
us
e
,
we
w
e
r
e
,
in
no
w
a
y
,
re
a
d
y
to
c
o
m
p
r
o
m
i
s
e
p
e
r
f
o
r
m
a
n
c
e
a
n
d
a
c
c
u
r
a
te
a
p
p
r
o
x
i
m
a
t
i
o
n
s
to
s
i
m
u
lat
e
d
r
e
s
u
l
t
s.
T
a
k
in
g
th
e
a
b
o
v
e
fa
c
to
r
s
in
t
o
c
o
n
s
id
e
r
a
t
i
o
n
,
t
h
e
s
ec
o
n
d
si
m
u
latio
n
e
n
v
ir
o
n
m
e
n
t
we
p
lan
n
e
d
to
r
e
s
o
r
t
to
w
a
s
S
I
L
V
A
C
O
®.
At
th
e
f
i
r
st
g
la
n
ce
,
S
I
L
V
AC
O
s
ee
m
e
d
to
ov
e
r
c
o
m
e
t
h
e
l
i
m
i
tatio
n
s
M
A
T
L
AB
e
x
h
ib
i
ted
.
W
e
h
a
d
a
ls
o
d
u
g
u
p
m
a
n
y
re
s
ea
r
c
h
p
a
p
e
rs
w
h
e
re
S
I
L
V
A
CO
w
a
s
e
mp
l
o
y
e
d
to
si
m
u
late
s
e
m
i
-
c
lass
ic
a
l
e
le
c
tr
o
s
tatics
si
m
u
la
tio
n
s
.
Ho
we
v
e
r,
w
e
f
o
u
n
d
t
h
e
e
n
v
ir
o
n
m
e
n
t
to
b
e
r
a
th
er
c
u
m
b
e
r
s
o
m
e
a
nd
n
o
t
us
e
r
-
f
r
i
e
nd
l
y
a
t
a
l
l
.
On
to
p
of
th
at,
tu
t
o
r
i
a
ls
,
do
c
u
m
en
t
a
t
i
o
n
s
or
a
n
y
o
th
er
r
e
s
o
u
r
ce
s
o
n
S
I
L
V
A
C
O
we
r
e
r
a
r
e
l
y
f
o
u
n
d.
T
h
e
th
i
r
d
s
i
m
u
l
a
t
i
o
n
e
n
v
ir
o
n
m
e
n
t
w
e
e
x
p
e
r
im
e
nt
e
d
w
it
h
w
a
s
C
OM
S
O
L
®
Mu
l
t
ip
h
y
s
ics®
.
C
OM
S
O
L
®
M
u
l
t
ip
h
y
si
c
s®
is
a
s
o
l
u
t
io
n
e
n
g
in
e
w
h
ich
s
o
lv
es
p
a
r
ti
a
l
d
if
f
e
r
e
n
t
i
a
l
e
qu
a
t
i
o
n
s
v
ia
t
h
e
f
in
ite
e
le
m
e
nt
m
eth
o
d
(
F
E
M
)
f
o
r
a
p
a
r
ti
c
u
lar
si
m
u
latio
n
[
4
]
.
T
h
is
is
th
e
e
n
v
ir
o
n
m
e
n
t
w
e
f
i
n
a
l
l
y
s
e
t
t
led
fo
r
,
a
nd
th
e
r
e
a
so
n
s
a
re
ma
n
y
-
f
o
ld
.
F
ir
s
t
l
y
,
a
s
t
h
e
n
a
me
“
M
u
l
t
ip
h
y
s
ic
s
”
s
u
g
g
e
st
s
,
C
OM
S
O
L
h
a
s
t
h
e
ca
p
a
bi
l
i
t
y
to
r
u
n
mu
l
t
i
p
le
p
h
y
s
ic
s
m
o
d
u
l
e
s
f
o
r
a
s
in
g
le
si
m
u
latio
n
,
a
nd
a
ls
o
a
l
l
o
w
s
“
o
u
p
l
i
n
”
b
e
tw
e
e
n
c
o
m
p
atib
l
e
p
h
y
s
ic
s
in
t
e
r
fa
ce
s.
T
h
is
w
a
s
s
u
i
t
a
b
le,
s
in
c
e
o
u
r
u
n
d
e
r
l
y
i
n
g
m
e
c
h
a
n
i
s
m
w
a
s
to
e
mp
l
o
y
a
S
c
h
r
o
d
i
n
g
e
r
-
P
o
is
s
on
c
o
u
p
led
s
o
lv
e
r
.
P
lu
s
,
C
OM
S
O
L
p
r
o
v
i
d
e
d
ma
n
y
p
h
y
s
ic
s
in
te
r
f
a
ce
s
a
nd
a
d
d
-
o
n
s
r
i
g
ht
o
u
t
of
t
h
e
bo
x
.
Mo
r
e
ov
e
r,
C
OM
S
O
L
h
a
d
a
m
y
ri
a
d
o
f
d
o
c
u
m
e
n
t
a
t
i
o
n
,
r
a
n
g
i
n
g
f
r
o
m
b
lo
g
p
o
s
ts
to
f
u
l
l
-
fl
e
tch
e
d
v
id
eo
t
u
to
r
i
a
ls
.
T
he
do
c
u
m
e
n
t
a
t
i
on
th
a
t
ca
me
in
w
it
h
th
e
s
o
f
t
w
a
re
w
a
s
h
i
g
h
l
y
i
n
f
o
rm
a
t
i
ve
a
s
w
e
l
l
.
C
OM
S
O
L
a
ls
o
s
u
p
p
o
r
ts
in
t
e
g
r
a
t
i
on
w
it
h
v
a
r
io
u
s
s
o
f
t
w
a
re
su
c
h
a
s
E
x
ce
l
a
nd
MA
T
L
A
B
w
h
i
c
h
is
r
e
f
e
r
r
e
d
to
a
s
a
“
L
i
v
e
l
i
nk
”
.
W
hi
l
e
s
ea
r
c
hi
n
g
f
o
r
e
x
is
t
i
n
g
r
e
s
ea
r
c
h
d
o
n
e
i
n
CO
M
S
O
L
,
it
w
a
s
f
o
u
n
d
t
h
at
s
i
m
u
l
a
t
i
o
n
s
a
nd
s
t
u
d
i
e
s
h
a
ve
b
ee
n
d
o
n
e
to
f
i
n
d
th
e
d
ep
letio
n
-
a
l
l
-
a
r
o
u
n
d
o
p
e
r
a
t
i
on
of
n
-
c
h
a
nn
e
l
f
o
u
r
g
a
te
fi
e
ld
ef
f
e
c
t
tr
a
n
s
i
s
to
r
s
v
ia
t
h
e
P
o
is
s
on
-
S
c
h
r
o
d
in
g
e
r
e
q
u
a
t
i
o
n
[
5
]
.
T
h
e
s
tu
d
y
o
f
t
h
is
(
s
teep
)
h
eter
o
j
u
n
ctio
n
i
n
e
v
itab
l
y
p
ass
e
d
th
r
o
u
g
h
t
h
e
r
eso
l
u
tio
n
o
f
th
e
s
y
s
te
m
o
f
Sc
h
r
ö
d
in
g
er
-
P
o
is
s
o
n
eq
u
atio
n
s
d
u
e
o
f
th
e
q
u
a
n
tu
m
e
f
f
ec
ts
th
at
o
cc
u
r
at
th
e
i
n
ter
f
ac
e.
T
h
is
w
o
r
k
is
co
n
s
ac
r
ea
ted
to
a
Nan
o
m
e
tr
ic
m
o
d
elis
atio
n
o
f
a
q
u
a
n
t
u
m
w
ell
t
h
at
h
a
s
f
o
r
ai
m
to
s
o
lv
e
th
e
s
y
s
te
m
o
f
eq
u
atio
n
P
o
is
s
o
n
Sc
h
r
ö
d
in
g
er
u
s
i
n
g
C
OM
SO
L
SOFT
W
AR
E
.
2.
P
RO
B
L
E
M
AT
I
C
T
h
e
s
tr
u
ctu
r
e
u
n
d
er
in
v
esti
g
at
e
co
n
s
is
ts
f
o
r
a
N
-
t
y
p
e
A
lGa
A
s
la
y
er
a
n
d
a
P
-
t
y
p
e
Ga
As
b
u
f
f
er
la
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[
1
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M
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k
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of
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p
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,
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s
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in
d
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v
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a
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.
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h
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f
in
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t
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s
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mp
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l
y
in
t
h
e
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n
g
in
e
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ri
n
g
c
om
m
uni
t
y
[
1
5
]
,
p
r
i
m
a
ri
l
y
b
e
c
a
u
s
e
of
t
h
e
f
r
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e
d
o
m
it
p
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e
s
w
h
i
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c
r
e
a
t
in
g
e
a
c
h
e
le
m
e
n
t.
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a
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to
co
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.
3.
3
.
Resul
t
s
Th
e
w
a
v
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f
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ass
o
ciate
d
to
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d
s
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ated
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3
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Fig
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4
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5
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Ga
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[1
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T.
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[2
]
P
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0
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.
[3
]
G
.
Ba
st
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rt,
“
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M
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n
ics
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p
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to
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siq
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s,
1
9
8
8
.
[4
]
R.
W
.
Pr
y
o
r,
“
M
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l
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.
[5
]
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.
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Q.
D.
M.
Kh
o
s
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“
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]
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p
p
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d
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tu
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6
.
[8
]
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.
E.
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n
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,
B
.
E.
M
a
rir,
M.
M
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“
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5
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stl
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,
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.
[9
]
M.
Be
n
a
b
b
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s,
B.
E
.
M
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rir,
M
.
Ba
a
z
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0
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[1
1
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S
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[1
2
]
M
d
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ri
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ij
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n
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p
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ra
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teristics
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te
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ter
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o
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trica
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o
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r E
n
g
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(
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v
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l.
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n
o
.
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c
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m
b
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r
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0
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2
,
p
p
.
7
8
5
-
791
.
[1
3
]
M
.
Be
n
a
b
b
a
s,
B.
M
a
rir
,
D.
Ba
j
o
n
,
H.
Ba
u
d
ra
n
d
,
“
E
x
a
c
t
re
so
lu
ti
o
n
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o
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p
led
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c
h
ro
d
i
n
g
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r
-
P
o
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ss
o
n
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q
u
a
ti
o
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:
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p
p
li
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ti
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e
term
in
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ti
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p
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M
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p
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.
[1
4
]
R.
M
e
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ik
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.
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il
latz
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n
,
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Ba
n
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st
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nt
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m
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o
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w
it
h
we
t
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la
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e
rs
”
,
N
an
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v
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l.
1
5
,
p
p.
1
-
8,
20
0
4.
[1
5
]
O.
C.
Z
ien
k
i
e
wi
c
z
,
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he
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in
i
te
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l
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m
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n
t
M
e
t
h
od
,
M
c
G
r
a
w
-
Hil
l
,
L
on
d
on
(
1
9
7
7
)
.
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