, ().
n - X = (x 1, x 2, , xn), .
a, b, c , .
:
W = f (c, X),
.
, .
().
b. - j(, ) .
j(, ) £ b .
³0.
, :
(4.1)
(4.2)
(4.3)
:
, () (4.1) (4.2) (4.3).
(4.1) (4.3) .
m , , , :
(4.4)
c 1 , c 2 , , cm .
(4.4), (4.2), (4.3) .
(4.2) £, ³, =, .
4.3.
( )
V .
= (r, h), 2 r, h (. 4.3).
, , :
. (4.5)
(4.5) ( ).
, V, :
p r 2 h = V. (4.6)
X :
R > 0, h > 0. (4.7)
(4.5) (4.7) , n = 2, m = 1.
. , , :
|
|
, (4.8)
.
(4.5), (4.8), (4.6), (4.7) .
.
, , :
,
(4.9)
l1, l2, , l m .
(4.10)
,
(4.11)
(4.8), (4.6) ( (4.5), (4.7)).
:
.
(4.17) r, h, l:
, , r, h (l ):
; .
, , , , V. (4.8) r h , .
:
1) (4.7).
2) (4.10) (4.11) (4.5), (4.6).
11
1. ?
2. ?
3. ?
4. ?
5. ?
6. ?
7. .
8. .
9. .
10. .
11. .
12. .
4.4.
12
, . :
( 1, 2, n) .
, - . . , f 1( X ), f 2( X ),, fk ( X ).
:
(4.12)
(4.13)
(4.13) 1 2 , * W 1 OW 2 (. 4.4). (4.12) 1 = 1 ; 2 = 2 :
|
|
.
A*, B*, D* *
(. . 4.4). * W 2 = f (x 1, x 2), W 2 . * W 1 = f (x 1, x 2). * , , D* , A*, B*, D* . , . A*D*B*. () Ki ()
(. 4.5). :
:
Ki ( ), , ( ) (. . 4.5).
, , - .
, A*D*B*
(. . 4.4), . , ( 4.4), . , . , , , .
4.5. ,
( )
. 4.5 , (4.5) (4.8), .
a1 > 0 a2 > 0, a1 + a2 = 1, (4.5) (4.8):
. (4.14)
a1 = 1, a2 , (4.14)
F (X) = S (X) . , XS .
a1 = 0, a2 = 1, (4.14) F (X) = T (X). , XT, . . 7.4, XS , XT . ( ), a = a1. a2 = 1 a. (4.14) . :
.
.
:
.
, r, h, l .
(4.15)
, r, h, l a. a 0 1, , . (4.15) , , a .
0,1 MathCad. . 4.6 .
. 4.6
a = 0,4, S = 2601; T = 802;
r = 10,44; h = 29,2. , a
S .
|
|
12
1. ?
2. .
3. ?
4. ?
5. .
6. ?
2