1
, , . .
. , Xmin Xmax, . Xi , Yi Yi=a0+a1xi+a2x2i.
Xi .
Xmin .
Xmax .
a0, a1, a2
Yi - .
1
| Yi |
| ʳ |
| Xi>Xmax |
| Yi=a0+a1xi+a2x2i |
| ͳ |
| , Xmin, Xmax, a0 , a1, Xi, Yi |
| Xi<Xmin |
| ͳ |
1. Xmin, Xmax, a0 , a1, a2, Xi, Yi.
2. Xi, . Xmin, 3. Xi Xmax 4.
3. Xi m, 5. m 6.
4. (Xi < Xmin).
5. (Xi > Xmax).
6.
Yi=a0+a1xi+a2x2i.
7. .
2
, , .
: xi xi; x x ; y1 x, y2 x; c=((xi-xj-1)/(xj-xj-1))*(yj-yj-1)+yj-1;
|
|
|
1. :
| x | y | |
| i-1 | xi-1 | yi-1 |
| i | xi | yi |
| i+1 | xi+1 | yi+1 |
| n | xn | yn |
2. xi, i;
3. ̳ xmin xmax , / .
ij c (C, %, 2/, ).
| ͳ |
| c=((xi-xj-1)/(xj-xj-1))*(yj-yj-1)+yj-1 |
| j=1 |
| ͳ |
| ͳ |
| , xi, min, max, c |
| xi<xmin |
| xi>xmax |
| =1 |
| j=j+1 |
| xi<xj |
| ͳ |
| =2 |
| ʳ |
1. , xmin, xmax;
2. xmin,
, 9
(3);
3. xmax:
, 10
(4);
4. j=1;
5. j=j+1;
6. < xj,
, 7
5
7. c=((xi-xj-1)/(xj-xj-1))*(yj-yj-1)+yj-1 .
8. .
9. =1; 8;
10. =2; 8;
Գ
1
, , . , ᒺ , , . , .
, .
1. (x1,x2,x3).
1. ij Y .
| x2>x3 |
| ͳ |
| x1>x2 |
| x1<x3 |
| x2<x3 |
>
| ͳ |
| ͳ |
| x1>x3 |
| ͳ |
| ͳ |
|
|
|
| y =x1 |
| y |
| y =x3 |
| y =x2 |
| ʳ |
1. . 1 2 2, 3.
2. 1 3 , 6, 4.
3. 2 3, 7, 5.
4. 2 3, 7 8.
5. 1 3, 6, 8.
6. Y x1.
7. Y x2.
8. Y x3.
2
, ( ) .
() 
i, i = 
i + (1- 
) i-1; : xi .
i-1 () .
α (), 0-1.
i ( ).
:
1. xi.
2. α.
:
1. i.
2
| xi, α |
| i-1 = xi
|
| i = i + (1- ) i-1
|
| i
|
| ʳ |
1. xi, α;
2. xi i-1;
3. i, ;
4. i;
3
, .
i, i = a0xi + a1xi -1 + a2xi -2; : xi, xi-1, xi-2 .
a0, a1, a2 ( ). , ( ), a0, a1, a2 .
3. xi, xi-1, xi-2;
4. a0, a1, a2.
2. i.
3
| a0, a1, a2 |
| xi-2 = xi-1 |
| i = a0xi + a1xi -1 + a2xi -2
|
| xi-1 = xi |
| i
|
| ʳ |
1. Xi, a0, a1, a2;
2. Xi-1 Xi-2;
3. Xi Xi-1;
4. Xi, ;
|
|
|
5. Xi;
, , . .4.1.
4.1.
, ( ), , 4.2.
( ) 4.2.
4.2.
. 4.3.
.4.3. ³
