, , . , , . .
s. s(t) , , n- . s(t) sa(t) L(t):
L(t) = s(t) - sa(t) = s(t).
L(t) < s s(t). , s(t) , , . s . , , .
. sa(t) t ti<t<ti+1 s(ti+1). s(t) : sa(ti) = [s(ti+1)-s(ti)]/2, . , .. , .
. , ( t). s(ti) . . .
.
. , . . . s(t) sa(t). s , s(ti), .. . .
|
|
. ti sa(t) s(ti), L(t) = s(t)-sa(t) s. L(t) = s .
sa(t) = s(ti)+s'(ti), s'(t) - . s(t)-s(ti)-s'(ti) = s. , , .
, :
f(x) = 0 + 1. f(x) = 0 + 1 + 22.
:
f(x) = 0 + 1 + 22 + + anxn = aixi. (26)
(26) n n ai. , N , N-1. ( 8-10 ) . . 5.4.1.
. 5.4.1. .
, , N .
, . /30/. () n- f(x):
f(x) = + +
+ . (27)
. 5.4.2.
. 1.2.2. .
.
. , , , s(ti) ti si(ti) = niDs, Ds- . Ds . :
|
|
si(ti) = ,
.
, , , .. . smin smax Ds Ns = (smax-smin)/Ds . s(t) {s(kDt)}. ei = s(kDt)-si(kDt) -Ds/2<e<Ds/2 . .
, e :
p(e) = 1/Ds, -Ds/2 £ e £ Ds/2.
, :
e2 = Ds2/12, 0.3 Ds. (28)
(28) .
, , s(t) q(t) sq2. , :
s2 = sq2+e2.
, /, .. e2<<sq2.