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ܷȀܷˏ൑ͳǢݎൌͲǡ͸͹ήሺܷȀܷ
Ɋɭɦɛɵ
ܷȀܷ
ˏ
ݎ
ʠ
ˏ௎
ʡʑ
, ɦɝ/ɦ3
ʠ
ˏ௎
σሺ
ௌʝ
, ɦɝ/ɦ3
ʠ
ˏ௎
ʠʝ
, ɦɝ3
ɋ
ɋȼ
ȼ
ɘȼ
ɘ
ɘɁ
Ɂ
ɋɁ
ɩɪɢ
ɩɪɢ ܷȀܷ
൐ͳǢݎൌ
ˏ
ଶήሺ௎Ȁ௎
ଷήሺ௎Ȁ௎
ିሺ௎Ȁ௎
ˏ
൅ͳǡ͸͹ήሺܷȀܷ
ˏ
ˏ
ǡ (4.31)
ାଶ
ˏ
െͳǡ͵ͶήሺܷȀܷ
ˏ
, (4.30)
ˏ
ɝɞɟ ܷ – ɪɚɫɱɟɬɧɚɹ ɫɤɨɪɨɫɬɶ ɜɟɬɪɚ, ɦ/ɫ. (ɉɪɢɧɢɦɚɟɬɫɹ ɩɨ ɤɚɠɞɨɦɭ ɪɭɦɛɭ ɞɥɹ
ɪɚɫɱɟɬɧɨɝɨ ɩɟɪɢɨɞɚ (ɡɢɦɚ – ɹɧɜɚɪɶ; ɥɟɬɨ – ɢɸɥɶ), ɩɨ (ɩɪɢɥ. 4)).
ɉɪɢɦɟɱɚɧɢɟ. ɉɪɢ ɩɪɨɜɟɞɟɧɢɢ ɪɚɫɱɟɬɨɜ ɧɟ ɢɫɩɨɥɶɡɭɸɬɫɹ ɡɧɚɱɟɧɢɹ ɫɤɨɪɨ-
ɫɬɢ ɜɟɬɪɚ ܷȀܷ
൏Ͳǡͷ ɦ/ɫ.
ˏ
Ɋɚɫɱɟɬ ɩɪɢɡɟɦɧɵɯ ɤɨɧɰɟɧɬɪɚɰɢɣ ɜɪɟɞɧɵɯ ɜɟɳɟɫɬɜ ɩɪɢ ɧɟɨɩɚɫɧɵɯ ɫɤɨɪɨ-
ɫɬɹɯ ɜɟɬɪɚ ɫɜɨɞɢɬɫɹ ɜ ɬɚɛɥ. 4.2.
Ɍɚɛɥɢɰɚ 4.2
Ɇɚɤɫɢɦɚɥɶɧɚɹ ɩɪɢɡɟɦɧɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ܥ
(ɦɝ/ɦ3) ɬɨɤɫɢɱɧɵɯ ɜɟɳɟɫɬɜ
ˏ௎
ɩɪɢ ɫɤɨɪɨɫɬɹɯ ɜɟɬɪɚ ɩɨ ɪɭɦɛɚɦ
5. Ɋɚɫɫɬɨɹɧɢɟ ɨɬ ɢɫɬɨɱɧɢɤɚ ɜɵɛɪɨɫɚ ʤ
, ɦ, ɧɚ ɤɨɬɨɪɨɦ ɩɪɢ ɫɤɨɪɨɫɬɢ ɜɟɬɪɚ
ˏ௎
ܷ ɢ ɧɟɛɥɚɝɨɩɪɢɹɬɧɵɯ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɢɯ ɭɫɥɨɜɢɹɯ ɩɪɢɡɟɦɧɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ
ɜɪɟɞɧɵɯ ɜɟɳɟɫɬɜ ɞɨɫɬɢɝɚɟɬ ɦɚɤɫɢɦɚɥɶɧɨɝɨ ɡɧɚɱɟɧɢɹ ܥ
, ɦɝ/ɦ3, ɨɩɪɟɞɟɥɹɟɬɫɹ
ˏ௎
ɩɨ ɮɨɪɦɭɥɟ:
ʤ
ൌ˓ήʤ
ˏ௎
, (4.32)
ˏ
ɝɞɟ ˓ – ɛɟɡɪɚɡɦɟɪɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ, ɨɩɪɟɞɟɥɹɟɦɵɣ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɨɬɧɨɲɟ­ɧɢɹ ܷȀܷ
ɩɨ ɮɨɪɦɭɥɚɦ:
ˏ
ɩɪɢ ܷȀܷ
൑Ͳǡʹͷ˓ൌ͵, (4.33)
ˏ
41
Ɋɭɦɛɵ
ܷ
ܷȀܷ
ˏ
˓
ʤ
ˏ௎
σሺ
ௌʝ
, ɦ
ʤ
ˏ௎
ʠʝ
, ɦ
ʤ
ˏ௎
ʡʑ
, ɦ
ɋ
ɋȼ
ȼ
ɘȼ
ɘ
ɘɁ
Ɂ
ɋɁ
ɩɪɢ Ͳǡʹͷ൏ܷȀܷ
൑ͳ˓ൌͺǡͶ͵ήሺͳെܷȀܷ
ˏ
൅ͳ, (4.34)
ˏ
ɩɪɢ ܷȀܷ
൐ͳ˓ൌͲǡ͵ʹήሺܷȀܷ
ˏ
൅Ͳǡ͸ͺ. (4.35)
ˏ
Ɋɟɡɭɥɶɬɚɬɵ ɪɚɫɱɟɬɨɜ ʤ
ɫɜɨɞɹɬɫɹ ɜ ɬɚɛɥ. 4.3.
ˏ௎
Ɍɚɛɥɢɰɚ 4.3
Ɋɚɫɫɬɨɹɧɢɟ ɞɨ ɦɚɤɫɢɦɚɥɶɧɨɝɨ ɡɧɚɱɟɧɢɹ ɤɨɧɰɟɧɬɪɚɰɢɢ
i-ɝɨ ɜɟɳɟɫɬɜɚ ɩɨ ɪɭɦɛɚɦ
6. ɉɪɢ ɨɩɚɫɧɨɣ ɫɤɨɪɨɫɬɢ ɜɟɬɪɚ ܷ
ɳɟɫɬɜ ʠ
, ɦɝ/ɦ3, ɜ ɚɬɦɨɫɮɟɪɟ ɩɨ ɨɫɢ ɮɚɤɟɥɚ ɜɵɛɪɨɫɚ ɧɚ ɪɚɡɥɢɱɧɵɯ ɪɚɫɫɬɨɹɧɢɹɯ
˘
ɩɪɢɡɟɦɧɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ɜɪɟɞɧɵɯ ɜɟ-
ˏ
ʤ, ɦ, ɨɬ ɢɫɬɨɱɧɢɤɚ ɜɵɛɪɨɫɚ ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:
ʠ
ൌܵଵήʠ
˘
, (4.36)
ˏ
ɝɞɟ ܵ
ɛɟɡɪɚɡɦɟɪɧɚɹ ɜɟɥɢɱɢɧɚ, ɨɩɪɟɞɟɥɹɟɦɚɹ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɨɬɧɨɲɟɧɢɹ
ʤȀʤ
ɢ ɤɨɷɮɮɢɰɢɟɧɬɚ ܨ ɩɨ ɮɨɪɦɭɥɚɦ:
ˏ
ɩɪɢ
ʤȀʤ
ˏ
൑ͳܵ
ൌ͵ήሺʤȀʤ
െͺήሺʤȀʤ
ˏ
൅͸ήሺʤȀʤ
ˏ
, (4.37)
ˏ
ɩɪɢ ͳ൏ሺʤȀʤ
൑ͺܵ
ˏ
ൌ
ଵǡଵଷ
଴ǡଵଷήሺʤȀʤ
ǡ (4.38)
ାଵ
ˏ
ʤȀʤ
ɩɪɢ ͺ൏ሺʤȀʤ
ɢ ܨ൑ͳǡͷ ܵ
ˏ
ൌ
ଷǡହହ଺ήሺʤȀʤ
ିଷହǡଶήሺʤȀʤ
ˏ
ˏ
ǡ (4.39)
ାଵଶ଴
ˏ
42
ɩɪɢ ͺ൏ሺʤȀʤ
ݔ, ɦ
ʤȀʤ
ˏ
ܵ
ʠ
௫σሺௌʝ
, ɦɝ/ɦ3
ʠ
௫ሺʠʝ
, ɦɝ/ɦ3
ʠ
௫ሺʡʑ
, ɦɝ/ɦ3
50
100
200
400
600
800
1000
1200
1400
ိိိ
൑ͳͲͲ ɢ ܨ൐ͳǡͷ ܵ
ˏ
ൌ
଴ǡଵήሺʤȀʤ
ାଶǡସହ଺ήሺʤȀʤ
ˏ
ˏ
ିଵ଻ǡ଼
ǡ (4.40)
ɩɪɢ
ʤȀʤ
൐ͳͲͲ ɢ ܨ൑ͳǡͷܵ
ˏ
ൌͳͶͶǡ͵ήሺʤȀʤ
ି଻Ȁଷ
, (4.41)
ˏ
ɩɪɢ
൐ͳͲͲ ɢ ܨ൐ͳǡͷܵ
ʤȀʤ
ˏ
ൌ͵͹ǡ͹͸ήሺʤȀʤ
ି଻Ȁଷ
. (4.42)
ˏ
ɉɪɢ ɧɚɡɟɦɧɵɯ ɢ ɧɢɡɤɢɯ ɢɫɬɨɱɧɢɤɚɯ ɜɵɛɪɨɫɚ ʜ൑ͳͲ ɦ ɢ ɩɪɢ ሺʤȀʤ
ɜɦɟɫɬɨ ܵ
ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɜɟɥɢɱɢɧɚ ܵ
ʜ
:
ɩɪɢ ʹ൑ʜ൏ͳͲܵ
ൌͲǡͳʹͷήሺͳͲെʜሻ൅Ͳǡͳʹͷήሺʜെʹሻήܵ
. (4.43)
ʜ
Ɋɟɡɭɥɶɬɚɬɵ ɪɚɫɱɟɬɨɜ ɤɨɧɰɟɧɬɪɚɰɢɣ ɡɚɝɪɹɡɧɹɸɳɟɝɨ ɜɟɳɟɫɬɜɚ ɩɨ ɨɫɢ ɮɚɤɟɥɚ
ɜɵɛɪɨɫɚ ɫɜɨɞɹɬɫɹ ɜ ɬɚɛɥ. 4.4.
Ɍɚɛɥɢɰɚ 4.4
Ɋɚɫɱɟɬ ɤɨɧɰɟɧɬɪɚɰɢɣ ɡɚɝɪɹɡɧɹɸɳɟɝɨ ɜɟɳɟɫɬɜɚ
ɩɨ ɨɫɢ ɮɚɤɟɥɚ ɜɵɛɪɨɫɚ
൏ͳ
ˏ
ɇɚ ɨɫɧɨɜɚɧɢɢ ɞɚɧɧɵɯ ɬɚɛɥ. 4.4 ɫɬɪɨɢɬɫɹ ɝɪɚɮɢɱɟɫɤɚɹ ɡɚɜɢɫɢɦɨɫɬɶ
ൌ݂ሺʤȀʤ
.
ˏ
Ⱥɧɚɥɨɝɢɱɧɨ ɨɩɪɟɞɟɥɹɟɬɫɹ ɡɧɚɱɟɧɢɟ ɤɨɧɰɟɧɬɪɚɰɢɢ ɜɪɟɞɧɵɯ ɜɟɳɟɫɬɜ ɧɚ
ɪɚɡɥɢɱɧɵɯ ɪɚɫɫɬɨɹɧɢɹɯ ɩɨ ɨɫɢ ɮɚɤɟɥɚ ɩɪɢ ɞɪɭɝɢɯ ɡɧɚɱɟɧɢɹɯ ɫɤɨɪɨɫɬɟɣ ɜɟɬɪɚ
ܷ ɢ ɧɟɛɥɚɝɨɩɪɢɹɬɧɵɯ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɢɯ ɭɫɥɨɜɢɹɯ. ɉɨ ɮɨɪɦɭɥɚɦ (4.29), (4.32)
43
ʠൌ
ɨɩɪɟɞɟɥɹɸɬɫɹ ɡɧɚɱɟɧɢɹ ɜɟɥɢɱɢɧ ܥ
˖, ɦ
˘, ɦ
50
100
ʤ
ˏ
200
400
600
800
1000
1200
ိိိ
20
40
60
80
ိိိ
ʤȀʤ
ɨɩɪɟɞɟɥɹɟɬɫɹ ɡɧɚɱɟɧɢɟ ܵ
ˏ
ɩɨ ɮɨɪɦɭɥɚɦ (4.37) – (4.42). ɂɫɤɨɦɨɟ ɡɧɚɱɟ-
ˏ௎
ɢ ʤ
. ȼ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɨɬɧɨɲɟɧɢɹ
ˏ௎
ɧɢɟ ɤɨɧɰɟɧɬɪɚɰɢɢ ɜɪɟɞɧɨɝɨ ɜɟɳɟɫɬɜɚ ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɭɬɟɦ ɭɦɧɨɠɟɧɢɹ ܥ
7. Ɂɧɚɱɟɧɢɟ ɩɪɢɡɟɦɧɨɣ ɤɨɧɰɟɧɬɪɚɰɢɢ ɜɪɟɞɧɵɯ ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɟ
3
, ɦɝ/ɦ
ܥ
˖
, ɧɚ ɪɚɫɫɬɨɹɧɢɢ ˖, ɦ, ɩɨ ɩɟɪɩɟɧɞɢɤɭɥɹɪɭ ɤ ɨɫɢ ɮɚɤɟɥɚ ɜɵɛɪɨɫɚ ɨɩɪɟ-
ɞɟɥɹɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:
ʠ
ɝɞɟ ܵ
ɛɟɡɪɚɡɦɟɪɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ, ɨɩɪɟɞɟɥɹɟɦɵɣ ɩɨ ɮɨɪɦɭɥɟ:
ൌܵଶήʠ
˖
, (4.44)
˘
ܵ
ൌ
൫ଵାହή௧
˖
ାଵଶǡ଼ή௧
ାଵ଻ǡ଴ή௧
˖
ାସହǡଵή௧
˖
ǡ (4.45)
˖
ɝɞɟ ɤɨɷɮɮɢɰɢɟɧɬ ݐ
ɜɵɱɢɫɥɹɟɬɫɹ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɫɤɨɪɨɫɬɢ ɜɟɬɪɚ ܷ:
˖
ɩɪɢ ܷ൑ͷ ɦ/ɫ, ݐ
˖
ൌ
௎ή˖
ǡ (4.46)
ʤ
ˏ
ɩɪɢ ܷ൑ͷ ɦ/ɫ, ݐ
˖
ൌ
ହή˖
Ǥ (4.47)
ʤ
ˏ
Ɋɟɡɭɥɶɬɚɬɵ ɪɚɫɱɟɬɨɜ ɤɨɧɰɟɧɬɪɚɰɢɣ ɡɚɝɪɹɡɧɹɸɳɢɯ ɜɟɳɟɫɬɜ ɩɟɪɩɟɧɞɢɤɭ-
ɥɹɪɧɨ ɨɫɢ ɮɚɤɟɥɚ ɜɵɛɪɨɫɚ ɫɜɨɞɹɬɫɹ ɜ ɬɚɛɥ. 4.5.
Ɍɚɛɥɢɰɚ 4.5
ˏ௎
ɧɚ ܵ
.
Ɋɚɫɱɟɬ ɤɨɧɰɟɧɬɪɚɰɢɣ ɡɚɝɪɹɡɧɹɸɳɟɝɨ ɜɟɳɟɫɬɜɚ
ɩɟɪɩɟɧɞɢɤɭɥɹɪɧɨ ɨɫɢ ɮɚɤɟɥɚ ɜɵɛɪɨɫɚ
44
4.2. Ɋɚɫɱɟɬ ɦɚɤɫɢɦɚɥɶɧɵɯ ɪɚɡɨɜɵɯ ɤɨɧɰɟɧɬɪɚɰɢɣ
ɨɬ ɜɵɛɪɨɫɨɜ ɝɪɭɩɩɵ ɢɫɬɨɱɧɢɤɨɜ
Ɋɚɫɱɟɬ ɪɚɫɫɟɢɜɚɧɢɹ ɜɵɛɪɨɫɨɜ ɜ ɬɟɯ ɫɥɭɱɚɹɯ, ɤɨɝɞɚ ɧɚ ɨɫɢ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ ɨɛɥɚɤɚ ɂȼȼ – ɁɀɁ ɢɦɟɟɬɫɹ ɬɨɥɶɤɨ ɨɞɢɧ ɢɫɬɨɱɧɢɤ, ɩɪɨɢɡɜɨɞɢɬɫɹ ɤɚɤ ɞɥɹ ɨɞɢ­ɧɨɱɧɨɝɨ ɂȼȼ ɫɨɝɥɚɫɧɨ ɞɚɧɧɵɦ, ɩɪɢɜɟɞɟɧɧɵɦ ɜ ɪɚɡɞɟɥɟ 4.1. ɉɪɢ ɧɚɥɢɱɢɢ ɧɟ­ɫɤɨɥɶɤɢɯ ɂȼȼ ɪɚɫɱɟɬ ɩɪɨɞɨɥɠɚɟɬɫɹ.
8. Ⱦɥɹ ɤɚɠɞɨɝɨ ɂȼȼ ɨɩɪɟɞɟɥɹɟɦ ɨɩɚɫɧɨɟ ɡɧɚɱɟɧɢɟ ɫɤɨɪɨɫɬɢ ɜɟɬɪɚ ܷ
ɮɨɪɦɭɥɚɦ (4.23) (4.28).
9. ɇɚɯɨɞɢɦ ɫɪɟɞɧɟɜɡɜɟɲɟɧɧɭɸ ɨɩɚɫɧɭɸ ɫɤɨɪɨɫɬɶ ɜɟɬɪɚ ܷ
ɩɨ ɮɨɪɦɭɥɟ:
˔˓
ܷ
ൌ
˔˓
ǡ (4.48)
σ
ʠ
ˏ೔
σ
ˏ೔ήʠˏ೔
ɝɞɟ ܷ ɢɫɬɨɱɧɢɤɚ. ʠ
– ɨɩɚɫɧɚɹ ɫɤɨɪɨɫɬɶ ɜɟɬɪɚ ɢ ɦɚɤɫɢɦɚɥɶɧɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ɞɥɹ i-ɝɨ
ˏ௜ǡʠˏ௜
ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ (4.1) ɩɪɢ ݂൏ͳͲͲ ɢɥɢ ɩɨ ɮɨɪɦɭɥɟ
ˏ௜
(4.11) ɩɪɢ ݂൒ͳͲͲ.
10. Ɇɚɤɫɢɦɚɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɩɪɢɡɟɦɧɨɣ ɤɨɧɰɟɧɬɪɚɰɢɢ ܥ
ɩɪɢ ɫɤɨɪɨɫɬɢ
ˏ௎
ɜɟɬɪɚ, ɨɬɥɢɱɚɸɳɟɣɫɹ ɨɬ ɨɩɚɫɧɨɣ, ɧɚɯɨɞɢɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:
ܥˏ௎ൌʠήݎ, (4.49)
ɝɞɟ – ɤɨɷɮɮɢɰɢɟɧɬ, ɭɱɢɬɵɜɚɸɳɢɣ ɢɡɦɟɧɟɧɢɟ ɫɤɨɪɨɫɬɢ ɜɟɬɪɚ, ɨɩɪɟɞɟɥɹɟɦɨɝɨ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ഥൌ
ɩɪɢ ܷ
൑ͳǡݎൌͲǡ͸͹ήܷഥ൅ͳǡ͸͹ήܷ
ɩɨ ɮɨɪɦɭɥɚɦ:
˔˓Ȁˏ
െͳǡ͵ήܷ
, (4.50)
ଷή௎
ɩɪɢ ܷഥ൐ͳǡ ݎൌ
ଶή௎
Ǥ (4.51)
ି௎ഥାଶ
11. Ɋɚɫɫɬɨɹɧɢɟ ɨɬ ɢɫɬɨɱɧɢɤɚ ɜɵɛɪɨɫɚ, ɧɚ ɤɨɬɨɪɨɦ ɤɨɧɰɟɧɬɪɚɰɢɹ ɜɪɟɞɧɨɝɨ
ɜɟɳɟɫɬɜɚ ɞɨɫɬɢɝɧɟɬ ɦɚɤɫɢɦɚɥɶɧɨɝɨ ɡɧɚɱɟɧɢɹ ܥ
ɩɪɢ ɫɤɨɪɨɫɬɢ ɜɟɬɪɚ, ɨɬɥɢɱ-
ˏ௎
ɧɨɣ ɨɬ ɨɩɚɫɧɨɣ, ɧɚɯɨɞɢɬɫɹ ɩɨ ɮɨɪɦɭɥɟ (4.32):
ʤˏ௎ൌ˓ήʤ
,
ˏ
ɝɞɟ ˓ – ɛɟɡɪɚɡɦɟɪɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ, ɨɩɪɟɞɟɥɹɟɦɵɣ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɨɬɧɨɲɟ-
ɧɢɹ ܷ
ɩɨ ɮɨɪɦɭɥɚɦ:
ɩɪɢ ܷഥ൑Ͳǡʹͷǡ˓ൌ͵, (4.52)
45
ˏ
ɩɨ
ɚ
ɛ
ɜ
ɩɪɢ Ͳǡʹͷ൏ܷഥ൑ͳǡ˓ൌͺǡͶ͵ήሺͳെܷ
൅ͳ, (4.53)
ɩɪɢ ܷഥ൐ͳǡ˓ൌͲǡ͵ʹήܷഥ൅Ͳǡͺ͸. (4.54)
ȼ ɩɪɟɞɟɥɚɯ ɡɨɧɵ ɠɢɥɨɣ ɡɚɫɬɪɨɣɤɢ ɜɵɛɢɪɚɟɦ ɧɟɫɤɨɥɶɤɨ ɤɨɧɬɪɨɥɶɧɵɯ ɬɨ-
ɱɟɤ: ɧɚ ɛɥɢɠɚɣɲɟɣ ɝɪɚɧɢɰɟ ˘ൌκ,ௗɧɚ ɞɚɥɶɧɟɣ ɝɪɚɧɢɰɟ ˘ൌˈ ɢ ɨɞɧɭ-ɞɜɟ ɬɨɱ-
ɤɢ ɦɟɠɞɭ ɧɢɦɢ. ɋɥɟɞɭɟɬ ɢɦɟɬɶ ɜ ɜɢɞɭ, ɱɬɨ ɞɥɹ ɤɚɠɞɨɝɨ ɂȼȼ ɡɧɚɱɟɧɢɹ ɯ ɪɚɡ­ɥɢɱɧɵ. ɉɨ ɮɨɪɦɭɥɟ (4.36) ɜɵɱɢɫɥɹɟɦ ɡɧɚɱɟɧɢɹ ɤɨɧɰɟɧɬɪɚɰɢɣ ɜ ɤɨɧɬɪɨɥɶɧɵɯ ɬɨɱɤɚɯ. ɋɯɟɦɚ ɨɩɪɟɞɟɥɟɧɢɹ ɪɚɫɫɬɨɹɧɢɣ
˘ ௗɞɚɧɚ ɧɚ ɪɢɫ. 4.2.
Ɋɢɫ. 4.2. ɋɯɟɦɚ ɨɩɪɟɞɟɥɟɧɢɹ ɪɚɫɫɬɨɹɧɢɹ ˘ ɞɨ ɪɚɫɱɟɬɧɨɣ ɬɨɱɤɢ (ɊɌ):
ɚ, ɛ, ɜ – ɜɚɪɢɚɧɬɵ ɪɚɫɩɨɥɨɠɟɧɢɹ ɬɨɱɤɢ ɫ ɦɚɤɫɢɦɚɥɶɧɨɣ ɤɨɧɰɟɧɬɪɚɰɢɟɣ
ɜɪɟɞɧɨɝɨ ɜɟɳɟɫɬɜɚ ɨɬɧɨɫɢɬɟɥɶɧɨ ɡɨɧɵ ɠɢɥɨɣ ɡɚɫɬɪɨɣɤɢ (ɁɀɁ)
46
12. Ⱦɥɹ ɂȼȼ ɫ ɨɞɧɨɪɨɞɧɵɦɢ ɜɪɟɞɧɨɫɬɹɦɢ ɫɭɦɦɚ ɤɨɧɰɟɧɬɪɚɰɢɣ ɨɬ ɪɚɡɧɵɯ
ɂȼȼ ɜ ɤɨɧɬɪɨɥɶɧɨɣ ɬɨɱɤɟ ɞɨɥɠɧɚ ɭɞɨɜɥɟɬɜɨɪɹɬɶ ɭɫɥɨɜɢɸ:
σ
൑ʣǡ (4.55)
ʠ
˘௜
ɝɞɟ ʣ – ɞɨɩɭɫɬɢɦɨɟ ɩɨɜɵɲɟɧɢɟ ɤɨɧɰɟɧɬɪɚɰɢɢ ɜɪɟɞɧɨɝɨ ɜɟɳɟɫɬɜɚ ɜ ɚɬɦɨ-
ɫɮɟɪɟ ɜ ɪɟɡɭɥɶɬɚɬɟ ɪɚɫɫɟɢɜɚɧɢɹ, ɨɩɪɟɞɟɥɹɟɬɫɹ ɤɚɤ ɪɚɡɧɨɫɬɶ ɩɪɟɞɟɥɶɧɨ ɞɨɩɭ-
ɫɬɢɦɨɣ ɤɨɧɰɟɧɬɪɚɰɢɢ (ɉȾɄ) ɢ ɮɨɧɨɜɨɣ ܥ
, ɦɝ3.
˗
47
5. ɊȺɋɑȿɌ ɉɊȿȾȿɅɖɇɈ ȾɈɉɍɋɌɂɆɈȽɈ ȼɕȻɊɈɋȺ ȼɊȿȾɇɕɏ ȼȿɓȿɋɌȼ ȼ ȺɌɆɈɋɎȿɊɍ (ɉȾȼ)
Ɋɚɡɪɚɛɨɬɤɚ ɧɨɪɦɚɬɢɜɨɜ ɉȾȼ ɜɟɞɟɬɫɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɨɫɧɨɜɧɵɦɢ ɩɪɚɜɨ­ɜɵɦɢ, ɧɨɪɦɚɬɢɜɧɵɦɢ ɢ ɦɟɬɨɞɢɱɟɫɤɢɦɢ ɞɨɤɭɦɟɧɬɚɦɢ, ɪɟɝɥɚɦɟɧɬɢɪɭɸɳɢɦɢ ɢ ɭɧɢɮɢɰɢɪɭɸɳɢɦɢ ɢɯ ɪɚɡɪɚɛɨɬɤɭ:
Ɏɟɞɟɪɚɥɶɧɵɣ ɡɚɤɨɧ ɨɬ 10 ɹɧɜɚɪɹ 2002 ɝ. ʋ 7-ɎɁ (ɪɟɞ. ɨɬ 03.07.2016 ʋ 358-ɎɁ) «Ɉɛ ɨɯɪɚɧɟ ɨɤɪɭɠɚɸɳɟɣ ɫɪɟɞɵ» [1];
– ɩɨɫɬɚɧɨɜɥɟɧɢɟ ɉɪɚɜɢɬɟɥɶɫɬɜɚ ɊɎ ɨɬ 18.09.2020 ʋ 1496 «Ɉ ɧɨɪɦɚɬɢɜɚɯ ɜɵɛɪɨɫɨɜ ɜɪɟɞɧɵɯ ɮɢɡɢɱɟɫɤɢɯ ɜɨɡɞɟɣɫɬɜɢɣ ɧɚ ɧɟɝɨ» [3];
ɉɟɪɟɱɟɧɶ ɦɟɬɨɞɢɤ ɞɥɹ ɪɚɫɱɟɬɚ, ɧɨɪɦɢɪɨɜɚɧɢɹ ɢ ɤɨɧɬɪɨɥɹ ɜɵɛɪɨɫɨɜ ɡɚ- ɝɪɹɡɧɹɸɳɢɯ ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɧɵɣ ɜɨɡɞɭɯ [4];
Ɋɟɤɨɦɟɧɞɚɰɢɢ ɩɨ ɨɮɨɪɦɥɟɧɢɸ ɢ ɫɨɞɟɪɠɚɧɢɸ ɩɪɨɟɤɬɚ ɧɨɪɦɚɬɢɜɨɜ ɩɪɟ­ɞɟɥɶɧɨ ɞɨɩɭɫɬɢɦɵɯ ɜɵɛɪɨɫɨɜ ɜ ɚɬɦɨɫɮɟɪɭ (ɉȾȼ) ɞɥɹ ɩɪɟɞɩɪɢɹɬɢɹ [5];
ɉɪɚɜɢɥɚ ɭɫɬɚɧɨɜɥɟɧɢɹ ɞɨɩɭɫɬɢɦɵɯ ɜɵɛɪɨɫɨɜ ɩɪɨɦɵɲɥɟɧɧɵɦɢ ɩɪɟɞɩɪɢɹɬɢɹɦɢ [2];
Ɇɟɬɨɞɢɱɟɫɤɨɟ ɩɨɫɨɛɢɟ ɩɨ ɪɚɫɱɟɬɭ, ɧɨɪɦɢɪɨɜɚɧɢɸ ɢ ɤɨɧɬɪɨɥɸ ɜɵɛɪɨɫɨɜ ɡɚɝɪɹɡɧɹɸɳɢɯ ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɧɵɣ ɜɨɡɞɭɯ (ɞɨɩɨɥɧɟɧɧɨɟ ɢ ɩɟɪɟɪɚɛɨɬɚɧ­ɧɨɟ) [6];
Ɇɟɬɨɞɵ ɪɚɫɱɟɬɨɜ ɪɚɫɫɟɢɜɚɧɢɹ ɜɪɟɞɧɵɯ (ɡɚɝɪɹɡɧɹɸɳɢɯ) ɜɟɳɟɫɬɜ ɜ ɚɬɦɨ­ɫɮɟɪɧɨɦ ɜɨɡɞɭɯɟ [7];
ɉɟɪɟɱɟɧɶ ɢ ɤɨɞɵ ɜɟɳɟɫɬɜ, ɡɚɝɪɹɡɧɹɸɳɢɯ ɚɬɦɨɫɮɟɪɧɵɣ ɜɨɡɞɭɯ [8].
ɉɪɚɤɬɢɱɟɫɤɢɣ ɩɪɨɰɟɫɫ ɧɨɪɦɢɪɨɜɚɧɢɹ ɜɵɛɪɨɫɨɜ ɩɪɟɞɭɫɦɚɬɪɢɜɚɟɬ ɧɟɨɛɯɨ­ɞɢɦɨɫɬɶ ɩɪɨɜɟɞɟɧɢɹ ɚɧɚɥɢɡɚ ɬɟɯɧɨɥɨɝɢɱɟɫɤɢɯ ɩɪɨɰɟɫɫɨɜ ɢ ɬɟɯɧɨɥɨɝɢɱɟɫɤɨɝɨ ɨɛɨɪɭɞɨɜɚɧɢɹ, ɢɯ ɫɨɨɬɜɟɬɫɬɜɢɹ ɩɟɪɟɞɨɜɨɦɭ ɧɚɭɱɧɨ-ɬɟɯɧɢɱɟɫɤɨɦɭ ɭɪɨɜɧɸ ɜ ɫɬɪɚɧɟ ɢ ɡɚ ɪɭɛɟɠɨɦ, ɚɧɚɥɢɡɚ ɬɟɯɧɢɱɟɫɤɨɝɨ ɫɨɫɬɨɹɧɢɹ ɢ ɷɮɮɟɤɬɢɜɧɨɫɬɢ ɪɚɛɨ­ɬɵ ɩɵɥɟɝɚɡɨɨɱɢɫɬɧɵɯ ɭɫɬɚɧɨɜɨɤ.
ɉȾȼ ɭɫɬɚɧɚɜɥɢɜɚɟɬɫɹ ɞɥɹ ɤɚɠɞɨɝɨ ɢɫɬɨɱɧɢɤɚ ɡɚɝɪɹɡɧɟɧɢɹ ɚɬɦɨɫɮɟɪɵ ɬɚ­ɤɢɦ ɨɛɪɚɡɨɦ, ɱɬɨɛɵ ɜɵɛɪɨɫɵ ɜɪɟɞɧɵɯ ɜɟɳɟɫɬɜ ɨɬ ɞɚɧɧɨɝɨ ɢɫɬɨɱɧɢɤɚ ɢ ɨɬ ɫɨ­ɜɨɤɭɩɧɨɫɬɢ ɧɵɯ ɩɪɟɞɩɪɢɹɬɢɣ ɢ ɪɚɫɫɟɢɜɚɧɢɹ ɜɪɟɞɧɵɯ ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɟ, ɧɟ ɫɨɡɞɚɜɚɥɢ ɩɪɢɡɟɦɧɭɸ ɤɨɧɰɟɧɬɪɚɰɢɸ, ɩɪɟɜɵɲɚɸɳɭɸ ɢɯ ɉȾɄ ɞɥɹ ɧɚɫɟɥɟɧɢɹ, ɪɚɫɬɢɬɟɥɶ­ɧɨɝɨ ɢ ɠɢɜɨɬɧɨɝɨ ɦɢɪɚ [14].
ɉȾȼ ɨɩɪɟɞɟɥɹɟɬɫɹ ɞɥɹ ɤɚɠɞɨɝɨ ɜɟɳɟɫɬɜɚ ɨɬɞɟɥɶɧɨ, ɜ ɬɨɦ ɱɢɫɥɟ ɢ ɜ ɫɥɭɱɚ­ɹɯ ɭɱɟɬɚ ɫɭɦɦɚɰɢɢ ɜɪɟɞɧɨɝɨ ɞɟɣɫɬɜɢɹ ɧɟɫɤɨɥɶɤɢɯ ɜɟɳɟɫɬɜ.
ɧɢɢ ɉȾȼ ɭɱɢɬɵɜɚɸɬɫɹ ɮɨɧɨɜɵɟ ɤɨɧɰɟɧɬɪɚɰɢɢ ʠ
ɨɬ ɉȾɄ.
ɢɫɬɨɱɧɢɤɨɜ ɝɨɪɨɞɚ ɫ ɭɱɟɬɨɦ ɩɟɪɫɩɟɤɬɢɜɵ ɪɚɡɜɢɬɢɹ ɩɪɨɦɵɲɥɟɧ-
(ɡɚɝɪɹɡɧɹɸɳɢɯ) ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɧɵɣ ɜɨɡɞɭɯ ɢ ɜɪɟɞɧɵɯ
ɡɚɝɪɹɡɧɹɸɳɢɯ ɜɟɳɟɫɬɜ
ɉɪɢ ɭɫɬɚɧɨɜɥɟ-
ɩɪɢɧɢɦɚɟɦ ɪɚɜɧɵɦɢ 10 %
˗௜
48
ɉɪɢɧɰɢɩ ɪɚɫɱɺɬɚ ɉȾȼ ɡɚɤɥɸɱɚɟɬɫɹ ɜ ɫɥɟɞɭɸɳɟɦ: ɫɭɦɦɚɪɧɨɟ ɤɨɥɢɱɟɫɬɜɨ
ʞʓʑൌ
൫ʞʓʙ
ˏ˓െʠ˗
൯ήʜଶήඥܸʒʓήοʡ
ʏήܨή݉ή݊
ǡ
(5.2)
ɡɚɝɪɹɡɧɢɬɟɥɹ, ɜɵɛɪɚɫɵɜɚɟɦɨɟ ɜɫɟɦɢ ɢɫɬɨɱɧɢɤɚɦɢ ɧɚ ɩɪɟɞɩɪɢɹɬɢɢ, ɧɟ ɞɨɥɠɧɨ ɮɨɪɦɢɪɨɜɚɬɶ ɧɚ ɝɪɚɧɢɰɟ ɫɚɧɢɬɚɪɧɨ-ɡɚɳɢɬɧɨɣ ɡɨɧɵ (ɋɁɁ) ɩɪɟɞɩɪɢɹɬɢɹ ɢɥɢ ɠɢɥɨɣ ɡɚɫɬɪɨɣɤɢ ɤɨɧɰɟɧɬɪɚɰɢɢ, ɩɪɟɜɵɲɚɸɳɟɣ ɉȾɄ.
ܥ ɝɞɟ ܥ
ɦɚɤɫɢɦɚɥɶɧɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ɡɚɝɪɹɡɧɹɸɳɟɝɨ ɜɟɳɟɫɬɜɚ ɜ ɩɪɢɡɟɦɧɨɦ
ˏ
ൌ൫ܥˏ൅ܥ˗൯൏ʞʓʙǡ (5.1)
ɜɨɡɞɭɯɟ, ɫɨɡɞɚɜɚɟɦɚɹ ɢɫɬɨɱɧɢɤɚɦɢ ɜɵɛɪɨɫɨɜ, ɦɝ3;
ܥ
ɮɨɧɨɜɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ɡɚɝɪɹɡɧɹɸɳɟɝɨ ɜɟɳɟɫɬɜɚ, ɯɚɪɚɤɬɟɪɧɚɹ ɞɥɹ ɞɚɧɧɨɣ
˗
ɦɟɫɬɧɨɫɬɢ, ɦɝ
ɉɪɢ ɫɨɜɦɟɫɬɧɨɦ ɩɪɢɫɭɬɫɬɜɢɢ ɜ ɚɬɦɨɫɮɟɪɧɨɦ ɜɨɡɞɭɯɟ ɚɡɨɬ ɞɢɨɤɫɢɞ (ܰʝ ɫɟɪɚ ɞɢɨɤɫɢɞ (ܵʝ
3
. Ⱦɥɹ ɧɚɲɢɯ ɪɚɫɱɺɬɨɜ ɩɪɢɧɢɦɚɟɦ ܥ
) ɨɛɥɚɞɚɸɬ ɱɚɫɬɢɱɧɨɣ ɫɭɦɦɚɰɢɟɣ ɞɟɣɫɬɜɢɹ, ɫɭɦɦɚ ɢɯ ɤɨɧ-
= 0.
˗
) ɢ
ɰɟɧɬɪɚɰɢɣ ɧɟ ɞɨɥɠɧɚ ɩɪɟɜɵɲɚɬɶ 1,6 ɩɪɢ ɪɚɫɱɟɬɟ ɩɨ ɮɨɪɦɭɥɟ:
ܥ
ʞʓʙ
ேʝ
ேʝ
ܥ
ௌʝ
ʞʓʙ
ௌʝ
൑ͳǡ͸Ǥ
ɉɪɟɞɟɥɶɧɨ ɞɨɩɭɫɬɢɦɵɣ ɜɵɛɪɨɫ ɉȾȼ (ɝ/ɫ) ɜɪɟɞɧɨɝɨ ɜɟɳɟɫɬɜɚ ɜ ɚɬɦɨɫɮɟɪɭ ɢɡ ɨɞɢɧɨɱɧɨɝɨ ɢɫɬɨɱɧɢɤɚ, ɩɪɢ ɤɨɬɨɪɨɦ ɫɨɞɟɪɠɚɧɢɟ ɟɝɨ ɜ ɩɪɢɡɟɦɧɨɦ ɫɥɨɟ ɧɟ ɩɪɟɜɵɲɚɟɬ ɩɪɟɞɟɥɶɧɨ ɞɨɩɭɫɬɢɦɨɣ ɤɨɧɰɟɧɬɪɚɰɢɢ ɉȾɄ, ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɨ ɮɨɪ­ɦɭɥɚɦ:
ɞɥɹ ɧɚɝɪɟɬɵɯ ɜɵɛɪɨɫɨɜ:
ɞɥɹ ɯɨɥɨɞɧɵɯ ɜɵɛɪɨɫɨɜ:
ʞʓʑൌ
଼ή൫ʞʓʙˏ˓ିʠ˗൯ήʜమήξʜయή௏
ʏήிή௡ή஽
ʒʓ
ǡ (5.3)
ɝɞɟ ʞʓʙ
ɦɚɤɫɢɦɚɥɶɧɨ-ɪɚɡɨɜɚɹ ɩɪɟɞɟɥɶɧɨ ɞɨɩɭɫɬɢɦɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ɜɪɟɞ-
ˏ˓
ɧɨɝɨ ɜɟɳɟɫɬɜɚ ɜ ɩɪɢɡɟɦɧɨɦ ɚɬɦɨɫɮɟɪɧɨɦ ɜɨɡɞɭɯɟ ɧɚɫɟɥɟɧɧɵɯ ɩɭɧɤɬɨɜ, ɦɝ3, ɩɪɢɧɢɦɚɟɬɫɹ ɩɨ (ɬɚɛɥ. 3.3);
ܨ – ɛɟɡɪɚɡɦɟɪɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ, ɭɱɢɬɵɜɚɸɳɢɣ ɫɤɨɪɨɫɬɶ ɨɫɟɞɚɧɢɹ ɜɪɟɞɧɵɯ
ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɧɨɦ ɜɨɡɞɭɯɟ, ɩɪɢɧɢɦɚɟɬɫɹ ɩɨ (ɬɚɛɥ. 4.2);
49
ʏ – ɤɨɷɮɮɢɰɢɟɧɬ ɪɚɫɩɪɟɞɟɥɟɧɢɹ ɬɟɦɩɟɪɚɬɭɪɵ ɜɨɡɞɭɯɚ, ɡɚɜɢɫɹɳɢɣ ɨɬ ɦɟɬɟɨ-
ɪɨɥɨɝɢɱɟɫɤɢɯ ɭɫɥɨɜɢɣ ɦɟɫɬɧɨɫɬɢ ɢ ɨɩɪɟɞɟɥɹɸɳɢɣ ɭɫɥɨɜɢɹ ɜɟɪɬɢɤɚɥɶɧɨɝɨ ɢ ɝɨɪɢɡɨɧɬɚɥɶɧɨɝɨ ɪɚɫɫɟɢɜɚɧɢɹ ɜɪɟɞɧɵɯ ɡɚɝɪɹɡɧɹɸɳɢɯ ɜɟɳɟɫɬɜ ɜ ɚɬɦɨɫɮɟɪɧɨɦ ɜɨɡɞɭɯɟ, ɩɪɢɧɢɦɚɟɬɫɹ ɩɨ (ɬɚɛɥ. 4.1);
ܸ
ɨɛɴɟɦɧɵɣ ɪɚɫɯɨɞ ɞɵɦɨɜɵɯ ɝɚɡɨɜ ɱɟɪɟɡ ɭɫɬɶɟ ɞɵɦɨɜɨɣ ɬɪɭɛɵ, ɦ3/ɫ, (ɫɦ.
ʒʓ
ɮɨɪɦɭɥɭ 4.3);
οʡ – ɪɚɡɧɨɫɬɶ ɦɟɠɞɭ ɬɟɦɩɟɪɚɬɭɪɨɣ ɜɵɛɪɚɫɵɜɚɟɦɵɯ ɢɡ ɬɪɭɛɵ ɩɪɨɞɭɤɬɨɜ ɫɝɨɪɚ-
ɧɢɹ ɢ ɬɟɦɩɟɪɚɬɭɪɨɣ ɨɤɪɭɠɚɸɳɟɝɨ ɚɬɦɨɫɮɟɪɧɨɝɨ ɜɨɡɞɭɯɚ, (ɫɦ. ɮɨɪɦɭɥɭ 3.2);
݉ǡ݊ – ɤɨɷɮɮɢɰɢɟɧɬɵ, ɭɱɢɬɵɜɚɸɳɢɟ ɭɫɥɨɜɢɹ ɜɵɯɨɞɚ ɫɦɟɫɢ ɢɡ ɭɫɬɶɹ ɢɫɬɨɱɧɢ-
ɤɚ, (ɫɦ. ɮɨɪɦɭɥɭ 4.1).
ɉɨɥɭɱɟɧɧɵɟ ɡɧɚɱɟɧɢɹ ɉȾȼ ɫɨɩɨɫɬɚɜɥɹɸɬɫɹ ɫ ɦɚɫɫɨɣ ɡɚɝɪɹɡɧɹɸɳɢɯ ɜɟ­ɳɟɫɬɜ Ɇ, ɜɵɛɪɚɫɵɜɚɟɦɵɯ ɢɫɬɨɱɧɢɤɨɦ.
ȿɫɥɢ ʛ
൏ʞʓʑ
, ɬɨ ɞɚɧɧɵɣ ɜɵɛɪɨɫ ɨɬ ɢɫɬɨɱɧɢɤɚ (ɩɨ ɜɟɳɟɫɬɜɭ i) ɫɱɢɬɚɟɬɫɹ
ɞɨɩɭɫɬɢɦɵɦ (ɞɚɟɬɫɹ ɪɚɡɪɟɲɟɧɢɟ ɧɚ ɜɵɛɪɨɫ).
ȼ ɬɨɦ ɫɥɭɱɚɟ, ɤɨɝɞɚ ɜɵɛɪɨɫ ɤɚɤɨɝɨ-ɥɢɛɨ ɜɟɳɟɫɬɜɚ ɩɪɟɜɵɲɚɟɬ ɉȾȼ, ɬɨ ɧɟɨɛɯɨɞɢɦɵ ɩɪɢɪɨɞɨɨɯɪɚɧɧɵɟ ɦɟɪɨɩɪɢɹɬɢɹ.
ɉɪɢɪɨɞɨɨɯɪɚɧɧɵɟ ɦɟɪɨɩɪɢɹɬɢɹ ɪɚɡɪɚɛɚɬɵɜɚɸɬɫɹ ɧɚ ɫɪɨɤ ɞɨ 5 ɥɟɬ ɢ ɜ ɷɬɨɬ ɩɟɪɢɨɞ ɜɵɛɪɨɫ ɭɬɜɟɪɠɞɚɟɬɫɹ ɨɪɝɚɧɚɦɢ ɷɤɨɥɨɝɢɱɟɫɤɨɝɨ ɧɚɞɡɨɪɚ ɤɚɤ ɜɪɟɦɟɧɧɨ ɫɨɝɥɚɫɨɜɚɧɧɵɣ ɜɵɛɪɨɫ (ȼɋȼ
).
ȿɫɥɢ ɧɚ ɝɪɚɧɢɰɟ ɧɨɪɦɚɬɢɜɧɨɣ ɫɚɧɢɬɚɪɧɨ-ɡɚɳɢɬɧɨɣ ɡɨɧɵ ɩɪɟɞɩɪɢɹɬɢɹ (ɫɦ. ɩ. 6) ɜɵɩɨɥɧɹɟɬɫɹ ɭɫɥɨɜɢɟ:
˃˕ˏǤ˅
ʠ൑ʞʓʙ
െʠ˗ǡ (5.4)
ˏ˓
ɚ ɧɚ ɟɝɨ ɬɟɪɪɢɬɨɪɢɢ
ʠ൑Ͳǡ͵ήʞʓʙ
˓˃˄Ǥˊ
െʠ˗ǡ (5.5)
ˏ˓
ɬɨ ɦɚɫɫɚ ɜɵɛɪɨɫɚ Ɇ ɦɨɠɟɬ ɛɵɬɶ ɤɜɚɥɢɮɢɰɢɪɨɜɚɧɚ ɤɚɤ ɉȾȼ.
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