, .. , (). , . , , k, , . .
, - , , - . , , , , k = 3 . N = 8, 4. k = 2, 4 (. 3.4).
3.4 22
0 | 1 | 2 | 1 2 | |
+ + + + | + + | + + | + + |
. 3.5.
3.5 231
0 | 1 | 2 | 3 | |
+ + + + | + + | + + | + + |
- 3 1 2. . . ( ) :
2 kp,
k ;
p , ;
(k p) , .
= 1, 1/2 , = 2 1/4 , = 3 1/8 .. (. 3.6) [15].
3.6
: : | 1/2 23 1/2 24 1/2 25 1/4 25 1/4 26 1/8 26 1/256 212 | 231 241 251 252 262 263 2128 |
, , . bi, .. , .
. 3.5 3 1 2 (. 3.4):
3 = 1 × 2.
, 231.
, .. , .
|
|
3,
+1.
1 = 1 2 3.
. . bi, b i (bi b i).
(), (). - . , (. 3.2) . , , .. b 0 b0, b 1 b1 b 2 b2.
231 (. 3.5) . , (. 3.7).
3.7 3 ( 3 = 1 × 2) 3.4. 3.7, , 1 2 × 3. , , b 1 b1+ b23.
3.7 231
0 | y | ||||||||
1 | 2 | 3 | 1 × 2 | 1 × 3 | 2 × 3 | 1 × 2 × 3 | |||
+ + + + | + + | + + | + + | + + | + + | + + | + + + + | y 1 y 2 y 3 y 4 |
, .. .
3 = 1 × 2 3, 1 = 1 × 2 × 3. , , .. , :
1 = × 2 × 3 = 2 × 3;
2 = 1 × 3;
3 = 1 × 2;
0 = 0 × 1 × 2 × 3.
,
y = b 0 + b 1 × x 1 + b 2 × x 2 + b 3 × x 3
, :
b 0 b0+ b123;
b 1 b1 + b23;
b 2 b2 + b13;
b 3 b3 + b12.
: , . , N = 4 241 4 = 1 × 2 × 3. , . , , , . [17], . . , , .
|
|
, , . , .. , , .. , .