ɮɢɥɶɬɪɚ
h
N
(
k
)
&
ɲɚɝɢ
+3,,
ɞɥɹ ɜɵɱɢɫɥɟɧɢɹ ɜɟɤɬɨɪɨɜ Ʉɚɥɦɚɧɚ
g
N,|
U
(
k
)
&
g
N,|
D
(
k
)
&
g
N,
U
(
k
)
&
g
N,
D
(
k
)
ɢ ɲɚɝ
,-
ɞɥɹ ɜɵɱɢɫɥɟɧɢɹ ɨɛɪɚɬɧɨɣ ɤɨɪɪɟɥɹ
'
ɰɢɨɧɧɨɣ ɦɚɬɪɢɰɵ
R
a
1
N
(
k
)
(
ȼ ɲɚɝɚɯ
+3,,
ɢɫɩɨɥɶɡɭɸɬɫɹ ɤɨɷɮɮɢɰɢɟɧɬɵ
˜
a
11
, . . . ,
˜
a
44
&
ɤɨɬɨɪɵɟ ɩɪɟɞɫɬɚɜɥɹɸɬ ɫɨɛɨɣ ɷɥɟɦɟɧɬɵ ɦɚɬɪɢɰɵ
˜
A
=
A
a
1
(
Ɇɚɬɪɢɰɚ
A
ɨɩɪɟɞɟɥɹɟɬɫɹ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚɡɨɦ
4
A
=
a
1
N,
D
(
k
)
μ
0
,
5
p
D
U
(
k
)
a
μp
D
|
D
(
k
)
μ
0
,
5
p
D
|
U
(
k
)
a
μ
0
,
5
p
d
D
U
(
k
)
a
1
N,
U
(
k
)
a
μ
0
,
5
p
U
|
D
(
k
)
p
U
|
U
(
k
)
a
μp
d
D
|
D
(
k
)
μ
0
,
5
p
d
U
|
D
(
k
)
a
1
N,|
D
(
k
)
μ
0
,
5
p
|
D
|
U
(
k
)
a
μ
0
,
5
p
d
D
|
U
(
k
)
p
d
U
|
U
(
k
)
a
μ
0
,
5
p
d
|
D
|
U
(
k
)
a
1
N,|
U
(
k
)
.
ȼ ɫɢɥɭ ɧɟɛɨɥɶɲɨɣ ɪɚɡɦɟɪɧɨɫɬɢ ɦɚɬɪɢɰɵ
A
ɞɥɹ ɜɵɱɢɫɥɟɧɢɹ ɦɚ
'
ɬɪɢɰɵ
˜
A
=
A
a
1
ɦɨɝɭɬ ɛɵɬɶ ɢɫɩɨɥɶɡɨɜɚɧɵ ɥɸɛɵɟ ɦɟɬɨɞɵ ɨɛɪɚɳɟɧɢɹ
ɦɚɬɪɢɰ
(
ɇɚɩɪɢɦɟɪ
&
ɩɪɢɦɟɧɟɧɢɟ ɚɥɝɨɪɢɬɦɨɜ ɨɛɪɚɳɟɧɢɹ ɤɥɟɬɨɱɧɵɯ ɦɚ
'
ɬɪɢɰ
U/W
ɩɨɡɜɨɥɹɟɬ ɨɫɭɳɟɫɬɜɢɬɶ ɬɚɤɨɟ ɨɛɪɚɳɟɧɢɟ ɫ ɩɨɦɨɳɶɸ
/.
ɭɦɧɨ
'
ɠɟɧɢɣ
& -,
ɫɥɨɠɟɧɢɣ ɢ
.
ɞɟɥɟɧɢɣ
(
Ɂɧɚɱɟɧɢɟ ɩɚɪɚɦɟɬɪɚ
z
2
ɞɢɧɚɦɢɱɟɫɤɨɣ ɪɟɝɭɥɹɪɢɡɚɰɢɢ ɤɨɪɪɟɥɹɰɢɨɧ
'
ɧɨɣ ɦɚɬɪɢɰɵ ɢ ɡɧɚɱɟɧɢɟ ɩɚɪɚɦɟɬɪɚ
p
2
ɧɚɱɚɥɶɧɨɣ ɪɟɝɭɥɹɪɢɡɚɰɢɢ ɷɬɨɣ
ɦɚɬɪɢɰɵ ɜɵɛɢɪɚɸɬɫɹ ɢɡ ɭɫɥɨɜɢɹ
z
2
&
p
2
v
0
,
01
}
2
x
&
ɝɞɟ
}
2
x
ɞɢɫɩɟ
'
ɪɫɢɹ ɜɯɨɞɧɵɯ ɫɢɝɧɚɥɨɜ ɚɞɚɩɬɢɜɧɨɝɨ ɮɢɥɶɬɪɚ
U+,W(
ȼ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ
ɬɢɩɚ ɪɟɲɚɟɦɨɣ ɡɚɞɚɱɢ ɜɵɯɨɞɧɵɦ ɫɢɝɧɚɥɨɦ ɚɞɚɩɬɢɜɧɨɝɨ ɮɢɥɶɬɪɚ ɦɨɠɟɬ
ɹɜɥɹɬɶɫɹ ɫɢɝɧɚɥ ɨɲɢɛɤɢ
"
ɲɚɝ
,0#
ɢɥɢ ɫɢɝɧɚɥ
y
(
k
) =
h
B
N
(
k
a
1)
N
(
k
)
(
ɂɡ ɨɩɪɟɞɟɥɟɧɢɹ ɜɟɤɬɨɪɨɜ ɜɯɨɞɧɵɯ ɫɢɝɧɚɥɨɜ ɚɞɚɩɬɢɜɧɨɝɨ ɮɢɥɶɬɪɚ
ɫɥɟɞɭɟɬ
&
ɱɬɨ ɱɢɫɥɨ ɜɟɫɨɜɵɯ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɜ ɤɚɧɚɥɚɯ ɚɞɚɩɬɢɜɧɨɝɨ
ɮɢɥɶɬɪɚ ɦɨɠɟɬ ɛɵɬɶ ɧɟɨɞɢɧɚɤɨɜɵɦ
(
ȼɨɡɦɨɠɧɨɫɬɶ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɧɟɨ
'
ɞɢɧɚɤɨɜɨɝɨ ɱɢɫɥɚ ɜɟɫɨɜɵɯ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɩɨɡɜɨɥɹɟɬ ɫɧɢɡɢɬɶ ɬɪɟɛɨɜɚ
'
ɧɢɹ ɤ ɨɛɴɟɦɭ ɜɵɱɢɫɥɢɬɟɥɶɧɵɯ ɪɟɫɭɪɫɨɜ
&
ɟɫɥɢ ɧɟ ɬɪɟɛɭɟɬɫɹ ɨɞɢɧɚɤɨɜɨɟ
ɱɢɫɥɨ ɜɟɫɨɜɵɯ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɜ ɤɚɧɚɥɚɯ
(
ȼɵɱɢɫɥɢɬɟɥɶɧɚɹ ɩɪɨɰɟɞɭɪɚ
ɚɥɝɨɪɢɬɦɚ
+
ɦɨɠɟɬ ɛɵɬɶ ɢɫɩɨɥɶɡɨɜɚɧɚ ɢ ɞɥɹ ɨɞɧɨɤɚɧɚɥɶɧɵɯ ɚɞɚɩɬɢɜ
'
ɧɵɯ ɮɢɥɶɬɪɨɜ
(
ȼ ɷɬɨɦ ɫɥɭɱɚɟ ɢɦɟɟɦ
N
(
k
) =
x
N
1
(
k
)
ɢ
|
N
(
k
) =
p
N
1
(
k
)
(
Ɉɰɟɧɤɚ ɜɵɱɢɫɥɢɬɟɥɶɧɨɣ ɫɥɨɠɧɨɫɬɢ ɚɥɝɨɪɢɬɦɚ
+
ɪɚɜɧɚ
7
N
2
+27
N
+
+2
M
2
+9
M
ɨɩɟɪɚɰɢɣ ɭɦɧɨɠɟɧɢɹ ɢ
6
N
2
+21
N
+2
M
2
+9
M
ɨɩɟɪɚɰɢɣ
ɫɥɨɠɟɧɢɹ
&
ɬ
(
ɟ
(
O
(
N
2
)
(
Ⱦɥɹ ɩɨɥɭɱɟɧɢɹ ɜɵɱɢɫɥɢɬɟɥɶɧɨ ɷɮɮɟɤɬɢɜɧɨɣ
"
ɛɵ
'
ɫɬɪɨɣ
#
ɜɟɪɫɢɢ ɪɚɫɫɦɨɬɪɟɧɧɨɝɨ ɚɥɝɨɪɢɬɦɚ ɫɨ ɫɥɨɠɧɨɫɬɶɸ
O
(
N
)
ɚɪɢɮ
'
ɦɟɬɢɱɟɫɤɢɯ ɨɩɟɪɚɰɢɣ ɧɟɨɛɯɨɞɢɦɨ ɜɨɫɩɨɥɶɡɨɜɚɬɶɫɹ ɩɪɢɟɦɚɦɢ
&
ɪɚɫɫɦɨ
'
ɬɪɟɧɧɵɦɢ ɜ ɪɚɛɨɬɚɯ
U/& 1& 2& +,& +-W(
Ɉɬɥɢɱɢɟ ɛɵɫɬɪɵɯ
LFM'
ɚɥɝɨɪɢɬɦɨɜ ɨɬ ɨɛɵɱɧɵɯ
"
ɧɟ ɛɵɫɬɪɵɯ
#
ɡɚ
'
ɤɥɸɱɚɟɬɫɹ ɜ ɪɚɡɥɢɱɧɵɯ ɫɩɨɫɨɛɚɯ ɜɵɱɢɫɥɟɧɢɹ ɜɟɤɬɨɪɨɜ Ʉɚɥɦɚɧɚ
(
ȼɵ
'
ɱɢɫɥɟɧɢɟ ɜɟɤɬɨɪɨɜ Ʉɚɥɦɚɧɚ
g
N,
U
(
k
)
&
g
N,
D
(
k
)
&
g
N,|
U
(
k
)
ɢ
g
N,|
D
(
k
)
ɜ
CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+ 23
