(2.7.4) .
, , , :
= , = .
(2.7.4) ,a, D b
= -10 - 2 - 1 - 1= - 14, a = - l - 2= - 3, D= 5+2+1+1= 9, b = 1+1= 2,
(l) (p- l) (- 14 q- (- 3)) ³0, (r) (q- l) (9 p- 2) ³0,
(- 14 q- (- 3)) ³0, q (9 p- 2) ³0.
(l):
(p- l)(- 14 q + 3) ³0, (- 14 q +3) ³0.
:
1) =1, 2) =0, 3) 0< <1.
.
1. = 1,
0³0, - 14 q +3³0.
q ³ 3/14.
2. = 0,
0³0, - (- 14 q +3) ³0, 0³0,
14 q -3³0
, , q £ 3/14.
3. , 0 < < 1,
- 14 q +3³0,
- 14 q +3 £ 0,
,
- 14 q +3=0,
. . q = 3/14.
. (, q) , 0 £ £ 1, 0£ q £ l, (.2.7.2).
. 2.7.2 . 2.7.3
, 1, 2 3. . 2.7.3 "".
(r):
(q- l) (9 p- 2) ³0, q (9 p- 2) ³0.
:
1) q= 1,2) q = 0,3) 0 < q < 1
:
1. q =1, p ³ 2/9,
2. q =0, p £ 2/9,
3. 0 < q < 1, =2/9.
, "", .
. 2.7.4.
. 2.7.4
:
= , Q= ,
:
HA = , HB = .
:
= , = .
. :
= 1 (9) 0+(6)=2, a= 6 (9)=3,
D = 1 0 (9) + (6) =2, b= 6 (9) = 3.
(l) (p- l) (2 q- 3) ³0, (r) (q- l) (2 p- 3) ³0,
(2 q- 3) ³0, q (2 p- 3) ³0.
,
1 l. p =1, q ³ 3/2, 2 l. p =0, q £ 3/2, 3 l. 0 < p < 1, q =3/2;
1 r. q =1, p ³ 3/2, 2 r. q =0, p £ 3/2, 3 r. 0 < q < 1, =3/2.
. 2.7.5.
3/2
1
0 1 3/2
. 2.7.5
(0,0). , 6.
|
|
, . , . , (1,1), , 1.
, ( ) .
, , (1,1) , , ( ).
:
= , = .
:
= 2 0 0+1=3, a= 1 0=1,
D = 1 0 0 + 2 =3, b= 2 0 = 2
:
(l) (p- l) (3 q- 1) ³0, (r) (q- l) (3 p- 2) ³0,
(3 q- 1) ³0, q (3 p- 2) ³0,
,
1 l. p =1, q ³ 1/3, 2 l. p =0, q £ 1/3, 3 l. 0 < p < 1, q =1/3;
1 r. q =1, p ³ 2/3, 2 r. q =0, p £ 2/3, 3 r. 0 < q < 1, =2/3.
. 2.7.6.
. :
=1, q =1: HA(1, 1)=2, H(1, 1)=1,
=0, q =0: HA(0, 0)=1, H(0, 0)=2,
. 2.7.6
:
HA = , HB = .
, .
(1,1) (0,0) , . . .
, . , , , .
?
, , , , , 1/2, , . .
-
, -. ;
= , = .
:
= 2+ 1 1+0=2, a= 0+ 1=1,
D = 1 +3+2 1 =5, b= 1+2 = 1
:
(l) (p- l) (2 q- 1) ³0, (r) (q- l) (5 p- 1) ³0,
(2 q- 1) ³0, q (5 p- 1) ³0,
,
1 l. p =1, q ³ 1/2, 2 l. p =0, q £ 1/2, 3 l. 0 < p < 1, q =1/2;
1 r. q =1, p ³ 1/5, 2 r. q =0, p £ 1/5, 3 r. 0 < q < 1, =1/5.
(. 2.7.7).
. 2.7.7
( ) .
:
=1, q =1: HA(1, 1)=2, H(1, 1)=1,
=0, q =0: HA(0, 0)=0, H(0, 0)= - 1,
:
HA = , HB = .
, .
|
|
, , .
. : (1,1) .