- , : .
, , . , , [3,48].
1) .
6 , , .
, .
, :
, (3.1)
- :
, (3.2)
:
h ,
A ( , , ).
, .
: , .
:
(3.3)
:
x0 ;
h ;
f2 ;
f1 , ;
f3 , .
, .
, () 2 [5,74].
:
, (3.4)
:
, (3.5)
:
x0 ;
h ;
Sm-1 , ;
fm .
, .
.
, .
2) .
, () ( . 3.1).
( , , , .) [1,169].
3.1 -
R = xmax - xmin | ||
, , , . | ||
. . | ||
( ) | ||
. . |
|
|
3.1 | ||
. . , . |
, , . :
1) ˳
2)
, : , , [8,49].
, , :
, (3.6)
- 2-
(3.7)
:
(3.8)
, 2 , , [5,77].
1, 0.
, , q.
p+q=1
p=1-q
q=1-p
, .
3) .
. .
|
|
|
|
. 3.1 . 3.2
.
|
|
, .
:
(3.9)
() 3- :
, (3.10)
- 3- :
. (3.11)
, As < 0.25 , 0,25-0,5 , As > 0,5 .
[5,90].
̳ 4- :
, (3.12)
- 4- :
. (3.13)
- :
|
|
|
|
|
|
|
|
, = 3, , , .
3.2
, . | ||
% | ||
980-1180 | ||
1180-1380 | ||
1380-1580 | ||
1580-1780 | ||
1780-1980 | ||
3.3 -
f | S | x | xf | ||||||||
980-1180 | -245,05 | 60049,5 | -147061253 | -176473503,6 | 3605942450,3 | ||||||
1180-1380 | -54,05 | 2921,4 | -15790167 | -157901670 | 8534577,9 | ||||||
1380-1580 | 145,95 | 21301,4 | 127808,4 | 18653577,6 | 111921465,6 | 453749641,9 | 2722497851,8 | ||||
1580-1780 | 345,95 | 119681,4 | 478725,6 | 41403781,2 | 165615124,8 | 14323638104,3 | 57294552417,2 | ||||
1780-1980 | 545,95 | 298061,4 | 162726622,7 | 813633113,5 | 88840599659,7 | ||||||
X | X | X | X | X | 75794530,3 | X |
:
-
= = 1334,05 .
-
n / 2 S(-1)
= + h* f
=1380; S(-1) =12; h=200; n=37; f =10
=1380+200* 37/2 12 /10 =1510;
-
f f(-1)
= + h * (f f(-1)) + (f f(+1) )
=1380; f =15; f(-1)=12; f(+1)=6; h =200.
10-12
= 1380+200* (10-12) +(10-6) = 1280.
. , [7,54].
=1334,05; =1510; =1280.
Mo < <Me, .
= = = 84042,567
= = 289,9 .
= *100 % = *100 % = 21,7 %
, .
= = 20453906,22
= + 0,8395
= = 14799370371,5
E = = 2,09.
(As >0) ( < 3). -
= = 0,29207
= =0,089094
= ; = .
, 980 . 1980 .
:
f, % | f', % | f-f' | (f-f')2 | (f-f')2/f' |
33,23 | -1,23 | 1,51 | 0,0455 | |
28,76 | -0,76 | 0,58 | 0,0201 | |
21,91 | -5,91 | 34,93 | 1,5942 | |
7,21 | 3,79 | 14,36 | 1,9922 | |
8,31 | 4,69 | 21,99 | 2,6462 | |
X | X | X | X | 6,2982 |
: 0,95, - .
, 980 ., 1987 .:
ln980 = 6,887; ln1987 = 7,594; t= = - 7,935;
(-7,94) = - 0,48
100 % * [ 0,5-0,48]= 4,52 %.
, 1987 ., , 300 . 4,52%.