. , .
1.
n n ( ) , l , m .
n : n . , 0 = 1/2, , ( ). :
n = hn(1 h). (2.6.1)
h = l/m . , . n ,
n = l/(m l). (2.6.2)
,
= 1/(m l) 1/m. (2.6.3)
=l . (2.6.4)
2.6.2. l = 5 . 10 ., .. m =60/10=6 /. h=l/m= 5/6< 1, . = 1/(m l)1/m =1/(65)1/6=5/6 (50), , , =l =25/6=4.17≈4. , , 80% .
0 + 1 + 2 + + w ≥ 0.8,
w . (2.6.1)
(1 h) + h(1 h) ++ hw(1 h) ≥ 0.8.
,
(1 h) + h(1 h) ++ hw(1 h) =(1 h)(1 + h ++ hw) = 1 hw+1,
hw+1 ≤ 0.2 w ≥ ln(0.2)/ln(5/6) 1 = 7.8 ≈ 8.
, , , 80% .
, .
0 =1 h ≈ 0.17.
, ( , ) :
1 =h(1 h) ≈ 0.139,
2 =h 2(1 h) ≈ 0.116.
2.
, N - . :
|
|
n = hn(1 h)/(1 hN+1), n ≤ N (2.6.5)
n = 0, n > N.
, h= l/m , , h = 1 n=1/(N +1).
n = h(1 (N+1)hN + NhN+1)/(1 h)/(1 hN+1), h ≠1, (2.6.6)
N/2, h=1.
, , N, , , 1 N ( ). ( , ) =l(1 N).
:
, :
= n l(1 N)/m, (2.6.7)
:
= /l /(1 N). (2.6.8)
2.6.3. 2.6.2 .
N =5+1=6, h=5/6,
N =(5/6)6(1 5/6)/(1 (5/6) 7) = 0.0774, N = 6.
, , lN =5×0.0774=0.387 , .. 8- 80,387=3 .
10.0774=0.9226, =5×0.9226=4.613. (2.6.6) (2.6.8),
n = (5/6)(1 7(5/6)6 + 6(5/6)7)/(1 5/6)/(1 (5/6)7)= 2.29,
=2.29 5(1 0.0774)/6=1.52,
=1.52/5 /(1 0.0774)=0.33 (20 .).
, (N=6), . 3 - . , 0, 1 2 :
0 =(1 5/6)/(1 (5/6)7) = 0.231,
1 =(5/6)(1 5/6)/(1 (5/6)7) = 0.193,
2 =(5/6)2(1 5/6)/(1 (5/6)7) = 0.160.