. , , ,

,,,

. .

- . . , , , , - , . , . . . . , "... , . , , ( . - ..) , "[1, 63]. " , ", :

().

(, ..).

.

().

.

.

().

() () [2, 73].

, , , " - " , " ", - " " [3, 14].

" - ". , "" . R1 , , R2 (, ..) , , f (R1 + R2) . R , f (R1 + R2) R , P . . Q , , , P .

P = AR - BQ;

A B - , R Q . P , .

1

" - " , .1, 1 - , 2 - , 3 - . 3 2 , , , V , , , ..

V Q , , P . , Q Q1 Q2 . P

P1 = AR - BQ1

P2 = AR - BQ2 ,

P = P2 - P1 = ( AR - BQ2 ) - (AR - BQ1 ) = -B ( Q2 - Q1 ) = -B * Q.

B0 , Q P0 .

, .1, . . . - P .

2

P " - " . " " 4 (.2), P R3 = CP , - , A B . R3 , . f ( R1 + R2 ) R , R3 ( .2 5),

R = f ( R1 + R2 ) - R3 = f ( R1 + R2 ) - CP

P R Q Q1 Q2 . , Q1

P1 = A [ f ( R1 + R2 ) - CP1 ] - BQ1

Q2 -

P2 = A [ f ( R1 + R2 ) - CP2 ] - BQ2 ,

P1 = [A f ( R1 + R2 ) - BQ1 ] / [1 + AC ] ,

P2 = [A f ( R1 + R2 ) - BQ2 ] / [1 + AC ] .

P

P = P1 - P2 = - [ B / ( 1 + AC ) ] * ( Q2 - Q1 ) = - [ B / ( 1 + AC ) ] * Q .

, P Q , , . 1 + AC . R2 R1 , , .

, - , " - ". . - V . , , , . , , P . , . , V , .. , .

3

" - " .3, 6 - V, 7 - . , P . V R4 = D1 V , D1 - , A, B . V Q , Q = D2 V , D2 D1 .

R4 = D1 V = D1 * ( Q / D2 ) = DQ.

R = f ( R1 + R2 ) + R4 = f ( R1 + R2 ) + DQ.

Q Q1 Q2 , P R

P1 = A [ f ( R1 + R2 ) + DQ1 ] - BQ1

P2 = A [ f ( R1 + R2 ) + DQ2 ] - BQ2 ,

P1 = Af ( R1 + R2 ) + ( AD - B ) Q1

P2 = Af ( R1 + R2 ) + ( AD - B ) Q2 .

P = P2 - P1 = ( AD - B ) ( Q2 - Q1 ) = ( AD - B ) * Q ,

, , , ( AD - B ) = 0 , D = B / A. D : V Q ( , D = D1 / D2 ). D , , , , B / A. " - " V . .

, V Q . . , , . , .

4

, (.4)

R = f ( R1 + R2 ) - R3 + R4 = f ( R1 + R2 ) - CP + DQ .

R , Q1

P1 = A [ f ( R1 + R2 ) - CP1 + DQ1 ] - BQ1 ,

Q2

P2 = A [ f ( R1 + R2 ) - CP2 + DQ2 ] - BQ2

P1 = [ Af ( R1 + R2 ) + ( AD - B ) Q1 ] / [ 1 + AC ] ,

P2 = [ Af ( R1 + R2 ) + ( AD - B ) Q2 ] / [ 1 + AC ] ,

P2 P1

P = P2 - P1 = [ ( AD - B ) ( Q2 - Q1 ) ] / [ 1 + AC ]= [ ( AD - B ) * Q ] / [ 1 + AC ] .

Q , , - . , Q , , ( 1 + AC ) . D , B / A , , , .

, , . , , , , . . , . , Q ( , , , - , ..), Q X1, X2, X3 ., V . , ,

Q = G * X1Y1 * X2Y2 * X3Y3 * ... ** XnYn

G - , Y1, Y2, Y3,...,Yn - , "" , "" Q , . "" Q .

1. : / . . . , . . . ., 1996.

2. : / . . . , . . . ., 1996.

3. . . . 3- ., . . ., 1997.


. . - . . ,

 

 

 

! , , , .
. , :