Кубрин С.С. Теория анализа и синтеза информационно-аналитических систем оптимальной отработки шахтных полей и месторождений
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Ⱦɪɭɝɢɦɢ ɫɥɨɜɚɦɢ, ɷɬɨ ɯɚɪɚɤɬɟɪɢɡɭɟɬ ɩɪɨɰɟɫɫ ɮɨɪɦɚɥɢɡɚɰɢɢ. Ɍɨ ɟɫɬɶ,
ɮɨɪɦɚɥɢɡɚɰɢɹ
j
F
ɧɚ ɞɚɧɧɨɣ ɱɚɫɬɢ ɪɟɚɥɶɧɨɣ ɫɢɫɬɟɦɵ ɛɵɥɚ ɜɵɩɨɥɧɟɧɚ
ɞɟɬɚɥɶɧɟɣ, ɱɟɦ ɮɨɪɦɚɥɢɡɚɰɢɹ
i
F
.
2. Ⱦɨɩɨɥɧɟɧɢɟɦ ɨɛɪɚɡɚ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɜ ɨɛɪɚɡɟ
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɹɜɥɹɟɬɫɹ ɬɚɤɨɣ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ,
ɨɩɪɟɞɟɥɟɧɢɟ ɤɨɬɨɪɨɝɨ (
ij
defdef
) ɜɤɥɸɱɚɟɬ ɬɨɥɶɤɨ ɬɚɤɢɟ ɨɩɪɟɞɟɥɟɧɢɹ
(
j
def
) ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
, ɤɨɬɨɪɵɟ ɧɟ ɜɯɨɞɹɬ ɜ ɨɩɪɟɞɟɥɟɧɢɟ (
i
def
)
i
-ɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ (ɪɢɫ. 2.2 ɚ ɢ ɜ).
^
`
jjij
defdefdefdefdefdef |
3. ɋɬɪɭɤɬɭɪɚ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɜɤɥɸɱɚɟɬ ɜ ɫɟɛɹ ɫɬɪɭɤɬɭɪɭ
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɬɨɝɞɚ ɢ ɬɨɥɶɤɨ ɬɨɝɞɚ, ɤɨɝɞɚ ɜɫɟ ɧɨɦɢɧɚɥɶɧɵɟ
ɨɛɴɟɤɬɵ, ɜɯɨɞɹɳɢɟ ɜ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ
i
, ɜɯɨɞɹɬ ɢ ɜ ɧɨɦɢɧɚɥɶɧɵɣ
ɨɛɴɟɤɬ
j
(ɪɢɫ. 2.7).
i
IntInt
j
IntIntInt
i
Int
j
Int
IIIIIII
Ɋɢɫ. 2.7.
ɋɨɨɬɧɟɫɟɧɢɟ ɫɬɪɭɤɬɭɪ ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ
4. Ⱦɨɩɨɥɧɟɧɢɟɦ ɫɬɪɭɤɬɭɪɵ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɜ ɫɬɪɭɤɬɭɪɟ
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
- ɷɬɨ ɬɚɤɢɟ ɫɜɹɡɢ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
,
ɤɨɬɨɪɵɟ ɨɩɪɟɞɟɥɹɸɬ (
i
Int
j
Int
II
) ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ, ɧɟ ɜɯɨɞɹɳɢɟ ɜ
ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ
j
(ɧɚ ɪɢɫ. 2.7 ɜɯɨɠɞɟɧɢɟ 1-ɝɨ ɨɛɴɟɤɬɚ ɜ
i
-ɣ ɨɛɴɟɤɬ).
^
`
i
IntInt
j
IntInt
i
Int
j
Int
IIIIII |
82
5. Ʉɚɪɬɨɝɪɚɮ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɜɤɥɸɱɚɟɬ ɜ ɫɟɛɹ ɤɚɪɬɨɝɪɚɮ
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɬɨɝɞɚ ɢ ɬɨɥɶɤɨ ɬɨɝɞɚ, ɤɨɝɞɚ ɜɫɟ ɩɪɚɜɵɟ ɷɥɟɦɟɧɬɵ
ɜɨ ɜɧɟɲɧɢɯ ɫɜɹɡɹɯ
j
-ɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɩɪɢɫɭɬɫɬɜɭɸɬ ɜ ɜɢɞɟ
ɩɪɚɜɵɯ ɷɥɟɦɟɧɬɨɜ ɜɨ ɜɧɟɲɧɢɯ ɫɜɹɡɹɯ
i
-ɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ (ɪɢɫ.
2.8).
ijij
IIIIIII
Ɋɢɫ. 2.8.
ɋɨɨɬɧɟɫɟɧɢɟ ɜɧɟɲɧɢɯ ɫɜɹɡɟɣ ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ.
6. Ⱦɨɩɨɥɧɟɧɢɟɦ ɤɚɪɬɨɝɪɚɮɚ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɜ ɤɚɪɬɨɝɪɚɮɟ
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɹɜɥɹɸɬɫɹ ɬɟ ɜɧɟɲɧɢɟ ɫɜɹɡɢ (
ij
II
)
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
, ɨɩɪɟɞɟɥɹɸɳɢɟ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɜ ɤɨɬɨɪɵɟ
ɧɟ ɜɯɨɞɢɬ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ
j
(ɪɢɫ. 2.8 ɨɛɴɟɤɬ
j
ɧɟ ɜɯɨɞɢɬ ɜ ɨɛɴɟɤɬ 1).
^
`
ijij
IIIIII
|
7. Ʉɚɪɤɚɫ ɫɜɨɣɫɬɜ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɜɤɥɸɱɚɟɬ ɜ ɫɟɛɹ ɤɚɪɤɚɫ
ɫɜɨɣɫɬɜ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɬɨɝɞɚ ɢ ɬɨɥɶɤɨ ɬɨɝɞɚ, ɤɨɝɞɚ ɜɫɟ ɫɜɨɣɫɬɜɚ
P
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɹɜɥɹɸɬɫɹ ɢ ɫɜɨɣɫɬɜɚɦɢ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
(ɇɚ ɪɢɫɭɧɤɟ 2.5 ɨɛɴɟɤɬɵ
j
ɢ
k
ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ).
ijij
KPKPPKK
.
ɗɬɚ ɫɢɬɭɚɰɢɹ ɱɚɳɟ ɜɫɟɝɨ ɜɨɡɧɢɤɚɟɬ ɩɨɫɥɟ, ɬɚɤ ɫɤɚɡɚɬɶ, ɭɬɨɱɧɹɸɳɟɣ
ɢɥɢ ɤɨɪɪɟɤɬɢɪɭɸɳɟɣ ɮɨɪɦɚɥɢɡɚɰɢɢ. Ɍɨɝɞɚ, ɤɨɝɞɚ ɜ ɫɢɫɬɟɦɟ ɧɟɨɛɯɨɞɢɦɨ
ɭɱɟɫɬɶ ɞɨɩɨɥɧɢɬɟɥɶɧɵɟ ɫɜɨɣɫɬɜɚ ɨɛɴɟɤɬɨɜ. ɂɧɨɝɞɚ ɩɨɞɨɛɧɚɹ ɫɢɬɭɚɰɢɹ
ɦɨɠɟɬ ɛɵɬɶ ɩɪɟɞɫɬɚɜɥɟɧɚ ɩɪɢ ɫɪɚɜɧɟɧɢɢ ɪɚɡɥɢɱɧɵɯ ɧɨɦɢɧɚɥɶɧɵɯ ɫɢɫɬɟɦ,
83
ɫɨɡɞɚɧɧɵɯ ɜ ɪɚɡɥɢɱɧɨɟ ɜɪɟɦɹ ɢɥɢ ɪɚɡɥɢɱɧɵɦɢ ɤɨɥɥɟɤɬɢɜɚɦɢ ɞɥɹ ɨɩɢɫɚɧɢɹ
ɨɞɧɨɣ ɢ ɬɨɣ ɠɟ ɪɟɚɥɶɧɨɣ ɫɢɫɬɟɦɵ. ȼ ɰɟɥɨɦ ɦɨɠɧɨ ɫɤɚɡɚɬɶ, ɱɬɨ ɜ ɯɨɞɟ
ɮɨɪɦɚɥɢɡɚɰɢɢ
i
F
ɫɨɡɞɚɧ ɨɛɪɚɡ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɤɨɬɨɪɵɣ ɛɨɥɟɟ
ɩɨɞɪɨɛɧɨ ɢ ɤɨɦɩɥɟɤɫɧɨ ɨɩɢɫɵɜɚɟɬ ɧɟɤɨɬɨɪɭɸ ɱɚɫɬɶ ɪɟɚɥɶɧɨɣ ɫɢɫɬɟɦɵ,
ɱɟɦ ɨɛɪɚɡ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɩɨɥɭɱɟɧɧɨɝɨ ɜ ɪɟɡɭɥɶɬɚɬɟ ɮɨɪɦɚɥɢɡɚɰɢɢ
j
F
. Ɋɚɡɥɢɱɧɵɟ ɜɚɪɢɚɧɬɵ ɫɨɨɬɧɟɫɟɧɢɹ ɤɚɪɤɚɫɚ ɫɜɨɣɫɬɜ ɧɨɦɢɧɚɥɶɧɵɯ
ɨɛɴɟɤɬɨɜ ɩɪɟɞɫɬɚɜɥɟɧɵ ɧɚ ɪɢɫ. 2.5.
8. Ⱦɨɩɨɥɧɟɧɢɟɦ ɤ ɤɚɪɤɚɫɭ ɫɜɨɣɫɬɜ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɜ
ɤɚɪɤɚɫɟ ɫɜɨɣɫɬɜ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
ɹɜɥɹɟɬɫɹ ɬɚɤɨɣ ɤɚɪɤɚɫ (
ij
K
K
)
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɤɨɬɨɪɵɣ ɜɤɥɸɱɚɟɬ ɬɨɥɶɤɨ ɬɚɤɢɟ
ɫɜɨɣɫɬɜɚ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
, ɤɨɬɨɪɵɟ ɧɟ ɜɯɨɞɹɬ ɜ ɤɚɪɤɚɫ ɫɜɨɣɫɬɜ
i
-
ɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ.
^
`
ijij
KPKPKK |
ɇɚ ɪɢɫ. 2.5 ɞɨɩɨɥɧɟɧɢɟ ɤ ɤɚɪɤɚɫɭ ɫɜɨɣɫɬɜ
j
-ɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ
ɨɛɴɟɤɬɚ ɜ ɤɚɪɤɚɫɟ ɫɜɨɣɫɬɜ
i
-ɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɛɭɞɟɬ ɤɚɪɤɚɫ
ɫɜɨɣɫɬɜ, ɫɨɫɬɨɹɳɢɣ ɢɡ ɫɜɨɣɫɬɜɚ
1
P
.
9. ɇɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ
i
NS
ɜɤɥɸɱɚɟɬ ɜ ɫɟɛɹ ɧɨɦɢɧɚɥɶɧɭɸ
ɫɢɫɬɟɦɭ
j
NS
ɬɨɝɞɚ ɢ ɬɨɥɶɤɨ ɬɨɝɞɚ, ɤɨɝɞɚ ɜɫɟ ɷɥɟɦɟɧɬɵ (ɧɨɦɢɧɚɥɶɧɵɟ
ɨɛɴɟɤɬɵ) ɫɢɫɬɟɦɵ
j
NS
ɹɜɥɹɸɬɫɹ ɢ ɷɥɟɦɟɧɬɚɦɢ (ɧɨɦɢɧɚɥɶɧɵɦɢ
ɨɛɴɟɤɬɚɦɢ) ɫɢɫɬɟɦɵ
i
NS
ijij
NSNONSNONONSNS
.
ȼ ɷɬɨɦ ɫɥɭɱɚɟ ɱɚɫɬɨ ɧɨɦɢɧɚɥɶɧɭɸ ɫɢɫɬɟɦɭ
j
NS
ɧɚɡɵɜɚɸɬ ɩɨɞɫɢɫɬɟɦɨɣ
ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɵ
i
NS
.
10.Ⱦɨɩɨɥɧɟɧɢɟɦ ɤ ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɟ
i
ɜ ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɟ
j
ɹɜɥɹɟɬɫɹ ɬɚɤɚɹ ɧɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ (
ij
NSNS
), ɤɨɬɨɪɚɹ ɜɤɥɸɱɚɟɬ
ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɫɢɫɬɟɦɵ
j
, ɧɟ ɜɯɨɞɹɳɢɟ ɜ ɫɢɫɬɟɦɭ
i
.
^
`
ijij
NSNONSNONSNS |
.
84
Ⱥɤɫɢɨɦɵ ɩɭɫɬɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɢ ɩɭɫɬɨɣ ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɵ.
Ⱥɤɫɢɨɦɚ ɩɭɫɬɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɭɬɜɟɪɠɞɚɟɬ, ɱɬɨ ɫɭɳɟɫɬɜɭɟɬ,
ɩɨ ɤɪɚɣɧɟɣ ɦɟɪɟ, ɨɞɢɧ ɩɭɫɬɨɣ ɨɛɪɚɡ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ. Ⱦɪɭɝɢɦɢ
ɫɥɨɜɚɦɢ, ɷɬɨɬ ɨɛɪɚɡ ɧɟ ɫɨɞɟɪɠɢɬ ɧɢɤɚɤɨɝɨ ɚɤɫɢɨɦɚɬɢɱɟɫɤɨɝɨ ɨɩɪɟɞɟɥɟɧɢɹ
ɢ. ɤɚɤ ɫɥɟɞɫɬɜɢɟ, ɜɨɨɛɳɟ ɧɢɱɟɝɨ ɧɟ ɫɨɞɟɪɠɢɬ.
NOdefdefNO
.
Ɍɚɤɨɣ ɨɛɪɚɡ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɛɭɞɟɦ ɨɛɨɡɧɚɱɚɬɶ ɫɢɦɜɨɥɨɦ, ɩɪɢɧɹɬɵɦ
ɜ ɬɟɨɪɢɢ ɦɧɨɠɟɫɬɜ -
.
Ⱥɤɫɢɨɦɚ ɨ ɩɭɫɬɨɣ ɫɬɪɭɤɬɭɪɟ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɭɬɜɟɪɠɞɚɟɬ, ɱɬɨ
ɫɭɳɟɫɬɜɭɟɬ, ɩɨ ɤɪɚɣɧɟɣ ɦɟɪɟ, ɨɞɢɧ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ, ɨɛɥɚɞɚɸɳɢɣ
ɩɭɫɬɨɣ ɫɬɪɭɤɬɭɪɨɣ (
Int
I
). Ɍɨ ɟɫɬɶ, ɬɚɤɨɣ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ,
ɤɨɬɨɪɵɣ ɧɟ ɹɜɥɹɟɬɫɹ ɫɨɫɬɚɜɧɵɦ.
NOIINO
IntInt
.
Ɍɚɤɢɟ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɹɜɥɹɸɬɫɹ, ɫ ɬɨɱɤɢ ɡɪɟɧɢɹ ɨɪɝɚɧɢɡɚɰɢɢ
ɜɧɭɬɪɟɧɧɟɣ ɫɬɪɭɤɬɭɪɵ, ɩɪɨɫɬɵɦɢ ɧɨɦɢɧɚɥɶɧɵɦɢ ɨɛɴɟɤɬɚɦɢ. Ɉɩɪɟɞɟɥɟɧɢɹ
ɨ ɩɪɨɫɬɨɦ ɢ ɫɨɫɬɚɜɧɨɦ ɨɛɴɟɤɬɟ ɞɚɧɵ ɜɵɲɟ.
Ⱥɤɫɢɨɦɚ ɨ ɩɭɫɬɨɦ ɤɚɪɬɨɝɪɚɮɟ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɭɬɜɟɪɠɞɚɟɬ,
ɱɬɨ ɫɭɳɟɫɬɜɭɟɬ, ɩɨ ɤɪɚɣɧɟɣ ɦɟɪɟ, ɨɞɢɧ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ, ɨɛɥɚɞɚɸɳɢɣ
ɩɭɫɬɵɦ ɤɚɪɬɨɝɪɚɮɨɦ (
I
). Ɍɨ ɟɫɬɶ, ɬɚɤɨɣ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ,
ɤɨɬɨɪɵɣ ɧɟ ɜɯɨɞɢɬ ɫɨɫɬɚɜɧɨɣ ɱɚɫɬɶɸ ɧɢ ɜ ɤɚɤɢɟ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ.
NOIINO
.
Ɍɚɤɢɟ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɹɜɥɹɸɬɫɹ, ɫ ɬɨɱɤɢ ɡɪɟɧɢɹ ɨɪɝɚɧɢɡɚɰɢɢ
ɜɧɟɲɧɢɯ ɫɜɹɡɟɣ, ɫɚɦɨɨɩɪɟɞɟɥɹɸɳɢɦɢɫɹ ɢɥɢ ɝɥɚɜɧɵɦɢ ɧɨɦɢɧɚɥɶɧɵɦɢ
ɨɛɴɟɤɬɚɦɢ ɜ ɫɢɫɬɟɦɟ.
Ɉɩɪɟɞɟɥɟɧɢɟ. Ƚɥɚɜɧɵɦ ɧɨɦɢɧɚɥɶɧɵɦ ɨɛɴɟɤɬɨɦ
i
NO
ɜ ɧɨɦɢɧɚɥɶɧɨɣ
ɫɢɫɬɟɦɟ
NS
ɧɚɡɵɜɚɟɬɫɹ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ, ɧɟ ɨɛɥɚɞɚɸɳɢɣ
ɤɚɪɬɨɝɪɚɮɨɦ
i
I
.
85
Ⱥɤɫɢɨɦɚ ɨ ɩɭɫɬɨɦ ɤɚɪɤɚɫɟ ɫɜɨɣɫɬɜ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
ɭɬɜɟɪɠɞɚɟɬ, ɱɬɨ ɫɭɳɟɫɬɜɭɟɬ, ɩɨ ɤɪɚɣɧɟɣ ɦɟɪɟ, ɨɞɢɧ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ,
ɨɛɥɚɞɚɸɳɢɣ ɩɭɫɬɵɦ ɩɟɪɟɱɧɟɦ ɫɜɨɣɫɬɜ (
K ).
NOKKNO
.
Ⱥɤɫɢɨɦɚ ɨɛ ɨɬɫɭɬɫɬɜɢɢ ɞɢɧɚɦɢɤɢ ɭ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
ɭɬɜɟɪɠɞɚɟɬ, ɱɬɨ ɜ ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɟ ɫɭɳɟɫɬɜɭɟɬ, ɩɨ ɤɪɚɣɧɟɣ ɦɟɪɟ, ɨɞɢɧ
ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ, ɭ ɤɨɬɨɪɨɝɨ ɞɢɧɚɦɢɤɚ ɟɝɨ ɪɚɡɜɢɬɢɹ ɩɭɫɬɚ (
T
I
).
Ɍɨ ɟɫɬɶ, ɬɚɤɨɣ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ, ɤɨɬɨɪɵɣ ɧɟ ɦɟɧɹɟɬɫɹ ɫɨ ɜɪɟɦɟɧɟɦ.
NOIINO
TT
.
ɇɟ ɢɡɦɟɧɹɸɳɢɟɫɹ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɹɜɥɹɸɬɫɹ ɫɬɚɬɢɱɟɫɤɢɦɢ.
Ɉɩɪɟɞɟɥɟɧɢɟ. ɋɬɚɬɢɱɟɫɤɢɦ ɧɨɦɢɧɚɥɶɧɵɦ ɨɛɴɟɤɬɨɦ
i
NO
ɜ
ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɟ
NS
ɧɚɡɵɜɚɟɬɫɹ ɧɨɦɢɧɚɥɶɧɵɣ ɨɛɴɟɤɬ, ɭ ɤɨɬɨɪɨɝɨ
ɨɬɫɭɬɫɬɜɭɟɬ ɞɢɧɚɦɢɤɚ
i
T
I
.
Ⱥɤɫɢɨɦɚ ɨ ɩɭɫɬɨɣ ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɟ ɭɬɜɟɪɠɞɚɟɬ, ɱɬɨ ɫɭɳɟɫɬɜɭɟɬ,
ɩɨ ɤɪɚɣɧɟɣ ɦɟɪɟ, ɨɞɧɚ ɩɭɫɬɚɹ ɧɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ. Ɍɨ ɟɫɬɶ ɫɢɫɬɟɦɚ, ɧɟ
ɫɨɞɟɪɠɚɳɚɹ ɧɢ ɨɞɧɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
NSNONONS
.
Ɉɩɪɟɞɟɥɟɧɧɭɸ ɬɚɤɢɦ ɨɛɪɚɡɨɦ ɧɨɦɢɧɚɥɶɧɭɸ ɫɢɫɬɟɦɭ ɛɭɞɟɦ ɨɛɨɡɧɚɱɚɬɶ
ɫɢɦɜɨɥɨɦ -
.
Ⱥɤɫɢɨɦɵ ɨɛɴɟɞɢɧɟɧɢɹ ɢ ɩɟɪɟɫɟɱɟɧɢɹ.
1. ȼ ɪɟɡɭɥɶɬɚɬɟ ɨɛɴɟɞɢɧɟɧɢɹ ɨɛɪɚɡɚ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɫ
ɨɛɪɚɡɨɦ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
, ɩɨɥɭɱɚɟɦ ɨɛɪɚɡ ɧɟɤɨɬɨɪɨɝɨ ɨɛɴɟɤɬɚ ɫ
ɨɩɪɟɞɟɥɟɧɢɟɦ
R
def
, ɜ ɤɨɬɨɪɨɟ ɜɯɨɞɹɬ ɩɨɧɹɬɢɹ (
i
d
), ɩɪɢɫɭɬɫɬɜɭɸɳɢɟ ɜ
ɨɩɪɟɞɟɥɟɧɢɢ
i
def
, ɢ ɩɨɧɹɬɢɹ (
j
d
), ɩɪɢɫɭɬɫɬɜɭɸɳɢɟ ɜ ɨɩɪɟɞɟɥɟɧɢɟ
j
def
.
¸
¸
¹
·
¨
¨
©
§
RjjRii
jjjiii
Rji
defdddefdd
defdddefdd
defdefdef
&
&
86
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
jiR
defdefdef
.
ȿɫɥɢ ɨɩɪɟɞɟɥɟɧɢɹ ɭɱɚɫɬɜɭɸɳɢɯ ɨɛɴɟɤɬɨɜ ɜ ɨɛɴɟɞɢɧɟɧɢɢ ɪɚɜɧɵ
ji
defdef
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
jijiR
defdefdefdefdef
. Ɍɚɤɚɹ ɨɩɟɪɚɰɢɹ ɨɛɴɟɞɢɧɟɧɢɹ ɧɟɨɛɯɨɞɢɦɚ
ɞɥɹ ɩɨɫɬɪɨɟɧɢɹ ɚɩɩɚɪɚɬɚ, ɩɨɡɜɨɥɹɸɳɟɝɨ ɩɪɨɢɡɜɨɞɢɬɶ ɫɪɚɜɧɟɧɢɟ
ɮɨɪɦɚɥɢɡɨɜɚɧɧɵɯ ɫɢɫɬɟɦ ɦɟɠɞɭ ɫɨɛɨɣ (ɞɢɚɝɪɚɦɦɚ, ɢɥɥɸɫɬɪɢɪɭɸɳɚɹ
ɬɚɤɨɣ ɜɚɪɢɚɧɬ, ɩɪɟɞɫɬɚɜɥɟɧɚ ɧɚ ɪɢɫ. 2.9).
Ɋɢɫ. 2.9
Ɉɛɴɟɞɢɧɟɧɢɟ ɨɩɪɟɞɟɥɟɧɢɣ ɨɛɪɚɡɨɜ ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ ɩɪɢ ɪɚɡɥɢɱɧɵɯ
ɮɨɪɦɚɥɢɡɚɰɢɹɯ ɪɟɚɥɶɧɨɣ ɫɢɫɬɟɦɵ
2. ȼ ɪɟɡɭɥɶɬɚɬɟ ɩɟɪɟɫɟɱɟɧɢɹ ɨɛɪɚɡɚ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
i
ɫ
ɨɛɪɚɡɨɦ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
j
, ɩɨɥɭɱɚɟɦ ɨɛɪɚɡ ɧɟɤɨɬɨɪɨɝɨ ɨɛɴɟɤɬɚ ɫ
ɨɩɪɟɞɟɥɟɧɢɟɦ
R
def
, ɜ ɤɨɬɨɪɨɟ ɜɯɨɞɹɬ ɩɨɧɹɬɢɹ (
d
), ɜɯɨɞɹɳɢɟ ɢ ɜ
ɨɩɪɟɞɟɥɟɧɢɟ
i
def
, ɢ ɜ ɨɩɪɟɞɟɥɟɧɢɟ
j
def
(ɪɢɫ. 2.2 ɚ).
RjiRji
defdddefddefdddefdefdef &
87
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
jiR
defdefdef
.
ȿɫɥɢ ɨɩɪɟɞɟɥɟɧɢɹ ɭɱɚɫɬɜɭɸɳɢɯ ɨɛɴɟɤɬɨɜ ɜ ɨɛɴɟɞɢɧɟɧɢɢ ɪɚɜɧɵ
ji
defdef
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
jijiR
defdefdefdefdef
.
3. Ɉɛɴɟɞɢɧɟɧɢɟɦ ɫɬɪɭɤɬɭɪɵ
1
Int
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
1
NO
ɫɨ
ɫɬɪɭɤɬɭɪɨɣ
2
Int
I
, ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
2
NO
, ɹɜɥɹɟɬɫɹ ɫɬɪɭɤɬɭɪɚ
R
Int
I
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɫɨɫɬɨɹɳɚɹ ɢɡ ɜɧɭɬɪɟɧɧɢɯ ɫɜɹɡɟɣ (
i
)
ɨɛɨɢɯ ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ
R
Int
R
IntIntInt
R
IntInt
IiiIiiIiiIiiII
22112221112
Int
1
&&I
.
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
IntInt
R
Int
III
. ȿɫɥɢ
ɫɬɪɭɤɬɭɪɵ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
IntInt
II
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ,
ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
IntIntIntInt
R
Int
IIIII
. Ɍɚɤɨɟ
ɨɛɴɟɞɢɧɟɧɢɟ ɦɨɠɟɬ ɩɪɨɢɡɨɣɬɢ ɩɪɢ ɤɨɦɩɥɟɤɫɢɪɨɜɚɧɢɢ ɧɟɫɤɨɥɶɤɢɯ
ɧɨɦɢɧɚɥɶɧɵɯ ɫɢɫɬɟɦ, ɨɩɢɫɵɜɚɸɳɢɯ ɪɚɡɥɢɱɧɵɟ ɫɬɨɪɨɧɵ ɨɞɧɨɣ ɢ ɬɨɣ ɠɟ
ɪɟɚɥɶɧɨɣ ɫɢɫɬɟɦɵ. Ⱦɪɭɝɢɦɢ ɫɥɨɜɚɦɢ, ɷɬɨ ɩɪɨɢɫɯɨɞɢɬ ɬɨɝɞɚ, ɤɨɝɞɚ
ɧɟɫɤɨɥɶɤɨ ɩɨɞɫɢɫɬɟɦ ɫ ɩɨɞɨɛɧɵɦɢ ɧɨɦɢɧɚɥɶɧɵɦɢ ɨɛɴɟɤɬɚɦɢ
ɨɛɴɟɞɢɧɹɸɬɫɹ ɜ ɨɞɧɭ ɫɢɫɬɟɦɭ, ɩɪɢ ɷɬɨɦ ɩɪɨɢɫɯɨɞɢɬ ɨɛɴɟɞɢɧɟɧɢɟ ɜɫɟɯ
ɤɨɦɩɨɧɟɧɬɨɜ ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ.
4. ɉɟɪɟɫɟɱɟɧɢɟɦ ɫɬɪɭɤɬɭɪɵ
1
Int
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
1
NO
ɫɨ
ɫɬɪɭɤɬɭɪɨɣ
2
Int
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
2
NO
, ɹɜɥɹɟɬɫɹ ɫɬɪɭɤɬɭɪɚ
R
Int
I
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɫɨɫɬɨɹɳɚɹ ɢɡ ɜɧɭɬɪɟɧɧɢɯ ɫɜɹɡɟɣ (
i
),
ɜɯɨɞɹɳɢɯ ɢ ɜ ɨɛɴɟɤɬ
1
NO
, ɢ ɜ ɨɛɴɟɤɬ
2
NO
.
R
IntIntInt
R
IntInt
IiiIiIiiII
212
Int
1
&I
.
88
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
IntInt
R
Int
III
. ȿɫɥɢ
ɫɬɪɭɤɬɭɪɵ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
IntInt
II
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ,
ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
IntIntIntInt
R
Int
IIIII
.
5. Ɉɛɴɟɞɢɧɟɧɢɟɦ ɤɚɪɬɨɝɪɚɮɚ
1
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
1
NO
ɫ
ɤɚɪɬɨɝɪɚɮɨɦ
2
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
2
NO
, ɹɜɥɹɟɬɫɹ ɬɚɤɨɣ ɤɚɪɬɨɝɪɚɮ
R
I
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɫɨɫɬɨɹɳɢɣ ɢɡ ɜɧɟɲɧɢɯ ɫɜɹɡɟɣ (
i
) ɨɛɨɢɯ
ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ.
RRR
IiiIiiIiiIiiII
221122211121
&&I
.
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
III
R
. ȿɫɥɢ
ɤɚɪɬɨɝɪɚɮɵ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
II
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ,
ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
IIIII
R
.
6. ɉɟɪɟɫɟɱɟɧɢɟɦ ɤɚɪɬɨɝɪɚɮɚ
1
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
1
NO
ɫ
ɤɚɪɬɨɝɪɚɮɨɦ
2
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
2
NO
, ɹɜɥɹɟɬɫɹ ɤɚɪɬɨɝɪɚɮ
R
I
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɫɨɫɬɨɹɳɢɣ ɢɡ ɜɧɟɲɧɢɯ ɫɜɹɡɟɣ (
i
),
ɜɯɨɞɹɳɢɯ ɢ ɜ ɨɛɴɟɤɬ
1
NO
, ɢ ɜ ɨɛɴɟɤɬ
2
NO
.
RR
IiiIiIiiII
2121
&I
.
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
III
R
. ȿɫɥɢ
ɤɚɪɬɨɝɪɚɮɵ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
II
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ,
ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
IIIII
R
.
89
7. Ɉɛɴɟɞɢɧɟɧɢɟɦ ɫɜɨɣɫɬɜ
1
Q
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
1
NO
ɫɨ
ɫɜɨɣɫɬɜɚɦɢ
2
Q
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
2
NO
, ɹɜɥɹɟɬɫɹ ɦɧɨɠɟɫɬɜɨ ɫɜɨɣɫɬɜ
R
Q
I
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɜɤɥɸɱɚɸɳɟɟ ɜ ɫɟɛɹ ɫɜɨɣɫɬɜɚ ɨɛɨɢɯ
ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ (ɪɢɫ. 2.5 ɨɛɴɟɤɬɵ
l
,.
j
ɢ
i
ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ).
¸
¸
¹
·
¨
¨
©
§
RR
R
QQQ
IpPpPIpPpP
IpPpPIpPpP
II
22221111
2222211111
21
&
&
I
.
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
QQ
R
Q
III
. ȿɫɥɢ
ɫɜɨɣɫɬɜɚ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
QQ
II
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ, ɩɨ
ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
QQQQ
R
Q
IIIII
.
8. ɉɟɪɟɫɟɱɟɧɢɟɦ ɫɜɨɣɫɬɜ
1
Q
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
1
NO
ɫɨ
ɫɜɨɣɫɬɜɚɦɢ
2
Q
I
ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ
2
NO
, ɹɜɥɹɟɬɫɹ ɦɧɨɠɟɫɬɜɨ ɫɜɨɣɫɬɜ
R
Q
I
ɧɟɤɨɬɨɪɨɝɨ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ, ɜɤɥɸɱɚɸɳɟɟ ɜ ɫɟɛɹ ɫɜɨɣɫɬɜɚ,
ɜɯɨɞɹɳɢɯ ɢ ɜ ɨɛɴɟɤɬ
1
NO
, ɢ ɜ ɨɛɴɟɤɬ
2
NO
.
RR
QQQ
IpPpPIpPIpPpPII
2121
&I
.
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
QQ
R
Q
III
. ȿɫɥɢ
ɫɜɨɣɫɬɜɚ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
QQ
II
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ, ɩɨ
ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
QQQQ
R
Q
IIIII
.
90
9. Ɉɛɴɟɞɢɧɟɧɢɟɦ ɧɨɦɢɧɚɥɶɧɵɯ ɫɢɫɬɟɦ
1
NS
ɢ
2
NS
ɹɜɥɹɟɬɫɹ ɬɚɤɚɹ
ɧɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ
R
NS
, ɜ ɤɨɬɨɪɭɸ ɜɯɨɞɹɬ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɨɛɨɢɯ
ɫɢɫɬɟɦ
¸
¸
¹
·
¨
¨
©
§
RR
R
NSNONSNO
NSNONONSNONO
NSNSNS
21
222111
21
&
&
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
NSNSNS
R
. ȿɫɥɢ
ɫɢɫɬɟɦɵ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
NSNS
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ,
ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
NSNSNSNSNS
R
.
10.ɉɟɪɟɫɟɱɟɧɢɟɦ ɧɨɦɢɧɚɥɶɧɵɯ ɫɢɫɬɟɦ
1
NS
ɢ
2
NS
ɹɜɥɹɟɬɫɹ ɬɚɤɚɹ
ɧɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ
R
NS
, ɜ ɤɨɬɨɪɭɸ ɜɯɨɞɹɬ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ,
ɩɪɢɧɚɞɥɟɠɚɳɢɟ ɬɨɥɶɤɨ ɨɛɟɢɦ ɫɢɫɬɟɦɚɦ
RR
NSNONSNONSNONONSNSNS
2121
&
.
ȼɵɩɨɥɧɟɧɢɟ ɷɬɨɣ ɨɩɟɪɚɰɢɢ ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɜɢɞɟ
21
NSNSNS
R
. ȿɫɥɢ
ɫɢɫɬɟɦɵ, ɭɱɚɫɬɜɭɸɳɢɟ ɜ ɨɛɴɟɞɢɧɟɧɢɢ, ɪɚɜɧɵ
21
NSNS
, ɬɨ ɜ ɪɟɡɭɥɶɬɚɬɟ,
ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ, ɢɦɟɟɦ ɬɨɠɞɟɫɬɜɨ
2121
NSNSNSNSNS
R
.
Ɋɟɡɭɥɶɬɚɬɨɦ ɩɟɪɟɫɟɱɟɧɢɹ ɞɜɭɯ ɧɨɦɢɧɚɥɶɧɵɯ ɫɢɫɬɟɦ ɛɭɞɟɬ ɥɢɛɨ ɧɟɤɨɬɨɪɚɹ
ɧɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ, ɹɜɥɹɸɳɚɹɫɹ ɩɨɞɫɢɫɬɟɦɨɣ ɞɥɹ ɨɛɟɢɯ ɫɢɫɬɟɦ, ɢɥɢ ɠɟ
ɩɭɫɬɚɹ ɧɨɦɢɧɚɥɶɧɚɹ ɫɢɫɬɟɦɚ.
Ɋɚɫɫɦɨɬɪɢɦ ɫɨɫɬɚɜ ɧɨɦɢɧɚɥɶɧɨɣ ɫɢɫɬɟɦɵ. ɉɨɧɹɬɢɟ ɧɨɦɢɧɚɥɶɧɨɣ
ɫɢɫɬɟɦɵ ɧɢɤɚɤɢɟ ɭɫɥɨɜɢɹ ɧɚ ɫɚɦɢ ɧɨɦɢɧɚɥɶɧɵɟ ɨɛɴɟɤɬɵ ɧɟ ɧɚɤɥɚɞɵɜɚɟɬ.
Ⱦɨɩɭɫɬɢɦɨ ɫɭɳɟɫɬɜɨɜɚɧɢɟ ɜ ɨɞɧɨɣ ɬɨɣ ɠɟ ɫɢɫɬɟɦɟ ɪɚɡɥɢɱɧɵɯ
ɧɨɦɢɧɚɥɶɧɵɯ ɨɛɴɟɤɬɨɜ, ɹɜɥɹɸɳɢɯɫɹ ɨɛɪɚɡɚɦɢ ɨɞɧɨɝɨ ɢ ɬɨɝɨ ɠɟ ɪɟɚɥɶɧɨɝɨ
ɨɛɴɟɤɬɚ. ɉɪɟɞɫɬɚɜɥɹɹ ɨɩɪɟɞɟɥɟɧɢɟ ɧɨɦɢɧɚɥɶɧɨɝɨ ɨɛɴɟɤɬɚ ɜ ɜɢɞɟ
ɧɟɤɨɬɨɪɨɝɨ ɦɧɨɠɟɫɬɜɚ, ɜɜɟɞɟɦ ɩɨɧɹɬɢɟ ɫɬɪɨɝɨ ɮɨɪɦɚɥɢɡɨɜɚɧɧɨɣ ɫɢɫɬɟɦɵ.
ɇɨɦɢɧɚɥɶɧɵɟ ɫɢɫɬɟɦɵ, ɭ ɤɨɬɨɪɵɯ ɩɟɪɟɫɟɱɟɧɢɟ ɨɩɪɟɞɟɥɟɧɢɣ ɪɚɡɧɨɬɢɩɧɵɯ
ɨɛɴɟɤɬɨɜ ɩɭɫɬɨɟ, ɛɭɞɟɦ ɧɚɡɵɜɚɬɶ
ɫɬɪɨɝɨ ɮɨɪɦɚɥɢɡɨɜɚɧɧɵɦɢ ɫɢɫɬɟɦɚɦɢ. ȼ
ɩɪɨɬɢɜɧɨɦ ɫɥɭɱɚɟ ɷɬɨ ɛɭɞɟɬ ɧɟɫɬɪɨɝɨ ɮɨɪɦɚɥɢɡɨɜɚɧɧɚɹ ɫɢɫɬɟɦɚ. Ⱦɥɹ
ɡɚɩɢɫɢ ɩɪɢɜɟɞɟɧɧɨɝɨ ɭɫɥɨɜɢɹ ɜɜɟɞɟɦ ɩɨɧɹɬɢɟ
ɤɚɪɤɚɫ ɧɨɦɢɧɚɥɶɧɨɣ