4 5
: .
, : , , , .
x1, x2, , xn, , y1, y2, , ym, :
yj = jj (x1, x2, , xn), (4.1)
i = 1, 2,..., n X,
j = 1, 2,..., m Y.
Yj 4.1, ( ) ( ) x1, x2, , xn.
, .
.
Yj , () Xi. , m < n 4.1 ; m = n , Xi , , , . m > n , , 4.1 Yj
yj = Yj + DYj DYj. yj ( ) xi, 4.1. ( ).
() jj .
, jj :
(4.2)
:
j=1, 2, , m. (4.3)
a - (j i).
4.2 4.3 . , vj ( , ):
j=1, 2, , m. (4.4)
Xi , vj :
|
|
(4.5)
i=1, 2, , n. (4.6)
4.6 vj 4.4, :
h=1, 2, , n. (4.7)
:
(4.8)
b - (h i).
, .
, () :
n = 2
(4.9)
n = 3
(4.10)
:
n = 2
(4.11)
n = 3
(4.12)
bhi :
(4.13)
ch :
(4.14)
4.10 :
n = 2
(4.15)
n = 3
(4.16)
D 1 D 2, 4.10 bhi ch:
n = 2
(4.17)
n = 3
(4.18)
:
n = 2
(4.19)
n = 3
(4.20)
4.4, vj, .
()
(4.21)
m ;
n ;
Ahi bhi D ( h=i), h i, bhi, (-1)h+i.
n = 2
(4.22)
n = 3
(4.23)
g, tγ.
k = m n. (4.24)
()
(4.25)
. ,
Δ Ai εi.
xi = Ai Δ Ai; γ = 0,95,
i i - (Ai );
ΔAi .
( 4 - ) () Rx Ry Rz. :
|
|
1. : , , () .
2. R1=Rx+Ry, R2=Rx+Rz, R3=Rz+Ry 3 . . 4.1 .
3. . Rx, Ry, Rz . . 4.2 .
4. 4 .
R t ( 5 - ),
(5.1)
R0 0,
a - ,
R0 a - t1 t2 ( R1 R2), :
(5.2)
:
1. . . 25 80 ( ).
2. . 5.1 .
3. 5.2,
aj1*x1 + aj2*x2 = yi (5.3)
aj1 = 1, aj2 = t, x1 = R0, x2 = a*R0, yi = R.
4. 4.9.
5. a, , a 3.10, , a = b = 1:
, (5.4)
6. . 5.2 .
8. 5 .