() .
, " " " " " ", " ".
" ", " ", " n- ", " ".
.
, , .
___________________________
.
______________ ..
___ _______________ 2003.
__
0804 __
7.080401 _______________________
, , _______ ________________________ 2003.
..
. :
1-20 ;
2-30 .
. , 50 .
, 3 . , 5 .
, :
1- 7 ;
2- 13 ;
- 20 .
, 24 . :
24 ;
|
|
|
24 34 ;
35 44 ;
45 50 .
,
, , 1 . , , .
, , .
, , 2 , , , , , , , .
. , .. .
, , .
1
1
. ( " " 7.080401, " ".)
:
) () . : .
) ( ), .
) () =1/2.
2
.
1.
1. .
:
) 
;
) , , .
, 1.
| 1 | 2 | |||
| a | b | c | ||
| 2.3a | 0.5 | 0.7 | ||
| 3.2 | 0.7 | 1.0 | ||
| 3.3a | 0.5 | 1.2 | ||
| 3.3b | 0.2 | 0.5 | 0.7 | |
| 3.1 | 0.2 | 0.7 | 1.0 | |
| 3.5 | 0.2 | 0.5 | 1.0 | |
| 3.6 | 0.3 | 0.5 | 0.8 | |
| 3.7a | 0.3 | 0.7 | 0.8 | |
| 3.4 | 0.5 | 0.7 | 1.2 | |
| 3.8 | 0.5 | 1.0 | 1.2 | |
| 3.9 | 0.5 | 0.6 | 0.8 | |
| 3.10a | 0.6 | 0.8 | 1.2 | |
| 2.3b | -1.0 | 0.1 | 1.0 | |
| 3.10b | 0.7 | 1.0 | 1.2 | |
| 3.8 | -0.5 | 0.3 | 0.7 | |
| 2.3a | 0.5 | 0.7 | ||
| 3.2 | 0.7 | 1.0 | ||
| 3.3a | 0.5 | 1.2 | ||
| 3.3b | 0.2 | 0.5 | 0.7 | |
| 3.1 | 0.2 | 0.7 | 1.0 | |
| 3.5 | 0.2 | 0.5 | 1.0 | |
| 3.6 | 0.3 | 0.5 | 0.8 | |
| 3.7a | 0.3 | 0.7 | 0.8 | |
| 3.4 | 0.5 | 0.7 | 1.2 | |
| 3.8 | 0.5 | 1.0 | 1.2 | |
| 3.9 | 0.5 | 0.6 | 0.8 | |
| 3.10a | 0.6 | 0.8 | 1.2 | |
| 2.3b | -1.0 | 0.1 | 1.0 | |
| 3.10b | 0.7 | 1.0 | 1.2 | |
| 3.8 | -0.5 | 0.3 | 0.7 |
|
|
|
1. , 1.
2
1
P= 
(i=1,2,...,n; j=1,2,m), . .
:
1 { 
} { 
}
. .
2 : 
,
, 
.
3 
r .
4 H(X) H(Y) .
5 I(X,Y) .
6 H(X/Y) H(Y/X).
7 H(X,Y) .
MATLAB .
1
X= {-2,-1,0,3,4} Y= {2,3,4,5,6,7}
P= 
2
X= {-5,-3,2,4,6} Y= {-3,0,1,2,5,7}
P= 
3
X= {1,2,3,4,5} Y= {-5,-3,0,4,6,8}
P= 
4
X= {-5,-4,0,1,2} Y= {1,2,3,4,5,6,7}
P= 
5
X= {-3,-2,-1,0,1} Y= {-3,-2,-1,0,1,2,3}
P= 
6
X= {-5,-3,2,4,6} Y= {-4,-1,2,3,4,5,7}
P= 
7
X= {-4,-1,2,3,4,5,7} Y= {-2,0,1,3}
P= 
8
X= {-5,-4,0,2,3,5,7} Y= {-4,-2,0,1}
P= 
9
X= {-3,-1,2,4,5} Y= {-2,-1,2,3,5,6}
P= 
10
X= {-2,-1,2,0,4,5} Y= {-5,-3,-1,0,2,4,6}
P=
11
X= {-3,-1,0,2,4,5,6} Y= {-3,0,1,5}
P= 
12
X= {-2,-1,0,3,4} Y= {2,3,4,5,6,7}
P= 
13
X= {-4,-3,1,2,3} Y= {-1,0,1,3,5}
P= 
14
X= {-4,-2,0,1,2} Y= {-2,-1,0,1,3}
P= 
15
X= {-4,-3,-2,0,1} Y= {-2,-1,0,1,3}
P= 
16
X= {-3,-2,0,1,2} Y= {-4,-2,0,1,3}
P= 
17
X= {-2,-1,0,1,2} Y= {-3,-2,-1,0,1}
P= 
18
X= {-5,-3,-1,1,3} Y= {-4,-2,0,2,3}
P= 
19
X= {-2,-1,0,3,4} Y= {-3,-2,-1,0,1}
P= 
20
X= {-2,-1,0,1,2} Y= {-4,-2,0,2,3}
P= 
21
X= {-3,0,1,2,5,7} Y= {-5,-3,2,4,6}
P= 
22
X= {1,2,3,4,5,6,7} Y= {-5,-4,0,1,2}
P= 
23
X= {-4,-1,2,3,4,5,7} Y= {-5,-3,2,4,6}
P= 
24
X= {-4,-2,0,1} Y= {-5,-4,0,2,3,5,7}
P= 
25
X= {-5,-3,-1,0,2,4,6} Y= {-2,-1,0,4,5}
P= 
26
X= {2,3,4,5,6,7} Y= {-2,-1,0,3,4}
P= 
27
X= {-2,-1,0,1,3} Y= {-4,-2,0,1,2}
P= 
28
X= {-4,-2,0,1,3} Y= {-3,-2,0,1,2}
P= 
29
X= {-4,-2,0,2,3} Y= {-5,-3,-1,1,3}
P= 
30
X= {-4,-2,0,2,3} Y= {-2,-1,0,1,2}
|
|
|
P= 
