( ), , .. .
P(t) , (0, t) .
(t) N(t), 11 t, N(0):
(t) = N(t)/ N(0) (3.1)
(0, t) :
N(t)= N(0)-n (0, t) (3.2)
n(0, t) (0, t) .
,
0 (t) 1 P(0)=1 P( ∞ )=0
Q(t) , (, t) .
Q(t):
Q(t)= n(, t)/N(0) (3/3)
,
(t) +Q(t)=1 (3.4.)
(t) , , (t, t+ t).
a(t)= (3.5)
a(t) :
a(t)= (3.6)
n(t, t) , t t+ t.
(3.6) t.
, :
P(t)= (3.7)
Q(t)= (3.8)
t t , t .
:
=a(t)/P(t) (3.9)
P(t) 1, . a(t).
:
a(t)= (3.10)
, (t, t+ t) , , , ( ) . , t .
, (3.9) : P(t) , (t)= . (t) .
(3.9), :
P(t)=exp[- ] (3.11)
, 3.1.
3.1.
P(t) | Q(t) | a(t) | . | |
P(t) | - | 1-P(t) | ||
Q(t) | 1-Q(t) | - | ||
a(t) | - | |||
. | exp[- ] | 1-exp[- ] | exp[- ] | - |
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( ) U- (. . 3.1).
I . II, . , .
III , - .
3-5 . 15-20 , 20-30 ( ). 40-50 . , . . .
( ) . :
(3.12)
, , .. , . 3.1 :
P(t)=exp(- ) (3.13)
Q(t)=1- exp(- ) (3.14)
a(t)= exp(- ) (3.15)
(3.13)(3.15) , .. .
(3.12)
T=1/ (3.16)
(3.17)
t , i- ()
, (3.17) t , i- , N(0) .
. = const, = const.
. 3.2 . .
.3.2.
, , . , (3.13-3.15), . , t= 0. , .
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