1
- .
a≤x≤b ε ( ) R . R x*.
, , R(x) .
R(x), R(x) .
:
1) ( );
2) .
. :
1 , ( 5 );
2 , .
, , R(x), , , .
, , R(x), . .
- .
[a,b], , ; , ,. , /2, .
R (+/2)>R(x-/2), [a,b], . [a,b] . R(x). ( R(x) , , ). , , , .
, . , , , , . R(C1)<R(C2), [a,c1], R(C1)>R(C2), . 3 1 [1,b] [c2, c3] ..
|
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, .
, .
: R(x)=DSin(Ax+C), : =1,0; =1,0; =1,0; D=1,0. : [-1;2]. : =0,05
:
0 = 0,5
R0=0.9975
R(0.5-/2)=R(0.475)=0.97922273
R(0.5+/2)=R(0.525)=0.9989513
, , [0.5;2].
, ( ).
R/x | |||
X1=1.25 | R1=0.77807320 | ||
X2=0.875 | R2=0.95408578 | ||
X3=0.6875 | R3=0.993193785 | ||
X4=0.59375 | R4=0.99973658 | ||
X5=0.546875 | R5=0.997139 |
(4-5)<E, . 8 (4*2=8) .
- .
[a,b], , , , , . : .
, d, . , , .
k .
[a,b] , d, , : ab ad = ac = db. <d, [a,b].
:
.
, , ..:
(1.1)
, , - k-, (k +1)- (k +2)- .
. , .
, k- [a,d]. (k +1)- , c. , (k +1)- , [a,c] :
. (1.2)
(1.2) (1.1), :
. (1.3)
, :
:
c d :
.
R(c) R(d), , .
R(c)<R(d), [a,d]. [,b].
:
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|
.
, d [c,b]:
.. .
, .
: , R(x), ε.