Information Technology Reference
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then
deg
a
123
c
45
@
A
=
.
⊥
Let
X
be a set of
n
-dimensional vectors and
A
be an EIM with elements from set
X
. Then
⎧
⎨
⎩
I
∅
,
if
s
≤
0or
s
>
n
Pr
s
(
A
)
=
,
A
s
,
otherwise
where
K
s
L
s
a
k
i
,
l
j
}]
A
s
=[
,
,
{
and
a
k
i
,
l
j
a
k
i
,
l
j
,
a
k
i
,
l
j
,...,
a
k
i
,
l
j
is the
s
-th component of vector
that is an element
of
A
.
Now, we can define an operation, that is in some sense opposite of operation
.It
has the form
(
A
)
={
@
Pr
s
(
A
)
|
1
≤
s
≤
n
}
.
We give an example. Let the EIMs
A
1
,
A
2
have the forms
de f g
a
12
di f
a
11
⊥
3
⊥
12
A
1
=
,
A
2
=
.
b
4
⊥
5
⊥
c
⊥
13 14
c
67
⊥
8
h
15
⊥⊥
Then
d
e
f
g
i
a
1
,
11
2
,
⊥ ⊥
,
12
3
,
⊥ ⊥
,
⊥
A
=
{
A
1
,
A
2
}=
b
4
,
⊥ ⊥
,
⊥
5
,
⊥ ⊥
,
⊥ ⊥
,
⊥
.
c
6
,
⊥
7
,
⊥ ⊥
,
14
8
,
⊥ ⊥
,
13
h
⊥
,
15
⊥
,
⊥ ⊥
,
⊥ ⊥
,
⊥ ⊥
,
⊥
On the other hand,
(
A
)
={
@
Pr
1
(
A
),
@
Pr
2
(
A
)
}
⎧
⎨
⎛
⎞
⎛
⎞
⎫
⎬
de f gi
a
12
de f g i
a
11
⎝
⎠
⎝
⎠
⊥
3
⊥
⊥
12
⊥⊥
=
@
b
4
⊥
5
⊥⊥
,
@
b
⊥⊥⊥ ⊥⊥
⎩
⎭
c
67
⊥
8
⊥
c
⊥⊥
14
⊥
13
h
⊥⊥⊥ ⊥⊥
h
15
⊥⊥⊥⊥
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