, , [18]. , , . , () , , .
, {0,1,¼,k-1}, , () k- [9].
T={0,1,2}, Q={0,1,2,3} k- .
kn , n . , n=2 ( a, b) k=3 . 7.
7
b | f(ab) | |
0 | 0 | 0 |
0 | 1 | 0 |
0 | 2 | 0 |
1 | 0 | 1 |
1 | 1 | 1 |
1 | 2 | 1 |
2 | 0 | 2 |
2 | 1 | 2 |
2 | 2 | 2 |
. 7 . .
: 222111000. 3: 322, 321, 320, 312, 311, 310, 32, 31, 30. 22, 21, 20, 12, 11, 10, 2, 1, 0 , a, b.
:
8, 7, 6, 5, 4, 3, 2, 1, 0.
, k- .
[9]:
1) ;
2) ;
3) k x1+x2 k;
4) ;
5) 0,1,2,...,k-1.
, : , , .
, . 8-10.
8
a,b
b | |||
a | 0 | 1 | 2 |
0 | 0 | 1 | 2 |
1 | 1 | 1 | 2 |
2 | 2 | 2 | 2 |
9
a,b 3
b | |||
a | 0 | 1 | 2 |
0 | 0 | 1 | 2 |
1 | 1 | 2 | 0 |
2 | 2 | 0 | 1 |
10
a 1 3 a
a | (a+1)mod3 |
0 | 1 |
1 | 2 |
2 | 0 |
|
|
[11].