. f(x, y) D . D n , DS1, DS2,,DSn d1, d2,,dn. ( ). pi(xi, hi) pi . f(x, y) D
(7.1).
f(x, y) ³ 0 DSi f (xi, hi), ( ). D , , ( ) ( n ¥), :
f(x, y) D, (7.1) max di 0 D , ( ). f(x, y) D
: (7.2).
D . f(x, y) ³ 0 D, , z = f(x, y), , z (- D), D .
:
1. j(,) f(x, y) D D , ..
(7.3)
2. , .. C = const, (7.4).
3. D D1 D2
, (7.5).
|
D :
(7.6)
dy ( , ), . ( ) : . b: .
|
|
: ( D : = 0; b = 1; j1(x) = 0 j2(x) = 2).
.
:
1. () D D1 D2 , () ID D D1 D2, .. ID = ID1+ ID2.
: D , .. ID = I D1+ I D2+ +I Dn ( Di ()).
2. ( ). m f(x, y) D S D, .
3. ( ) f(x, y) D S S D .. .
, : f(x, y) D D .. (7.7)
( D = j1(), = j2(), =, = b).
: , D = 1 2, = 2, = 2, = 0. D (.7.3). ,
, D = y1(), = y2(), = , = d y1() £ y2(),
(7.8).
, (7.7) (7.8). : . = (.7.4) , , , .. (7.8)
2 = y1(), = y2(), = 0, d = 1
.
, D , . , D , , D , .