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ɫɭɦɦɚɪɹɞɚɧɟɨɩɪɟɞɟɥɟɧɚ
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ɧɟɜɵɩɨɥɧɹɟɬɫɹ
S
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fo nnS
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ
·
¸
¹
nnnn
ɢ
S
S
b
S
ɪɹɞɪɚɫɯɨɞɢɬɫɹ
S
ȼɵɩɨɥɧɹɟɬɫɹ ɇɟɜɵɩɨɥɧɹɟɬɫɹ ɇɟɜɵɩɨɥɧɹɟɬɫɹ
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ ȼɵɩɨɥɧɹɟɬɫɹ
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ ȼɵɩɨɥɧɹɟɬɫɹ
ȼɵɩɨɥɧɹɟɬɫɹ ɇɟɜɵɩɨɥɧɹɟɬɫɹ ȼɵɩɨɥɧɹɟɬɫɹ
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ
ɇɟɜɵɩɨɥɧɹɟɬɫɹɪɹɞɪɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹɩɪɢɦɟɪɫɜɨɣɫɬɜɚ
ɋɯɨɞɢɬɫɹɝɟɨɦɟɬɪɢɱɟɫɤɚɹɩɪɨɝɪɟɫɫɢɹɫ
ɩɪɢɦɟɪɫɜɨɣɫɬɜɚ
q
ɚɜɝ
S
S
ɂɫɩɨɥɶɡɨɜɚɬɶɪɟɡɭɥɶɬɚɬɵɩɪɢɦɟɪɨɜɢ
ɂɫɩɨɥɶɡɨɜɚɬɶɪɟɡɭɥɶɬɚɬɩɪɢɦɟɪɚ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
x
x
x
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹɩɪɢɥɸɛɨɦ Į Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹɩɪɢ !p
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ
Ɋɚɫɯɨɞɢɬɫɹɢɫɩɨɥɶɡɨɜɚɬɶɷɤɜɢɜɚɥɟɧɬɧɨɫɬɶ ɩɪɢ
Ɋɚɫɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹɫɪɚɜɧɢɬɶɫɪɹɞɨɦ
f
OQ
¦
n
aOQ
n
n
o
ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ ɋɯɨɞɢɬɫɹ
ɋɯɨɞɢɬɫɹ
Ʉɨɧɬɪɨɥɶɧɵɟɜɨɩɪɨɫɵɢɡɚɞɚɧɢɹɞɥɹɫɚɦɨɩɪɨɜɟɪɤɢ
S
S
S
Ʉɚɤɨɛɨɡɧɚɱɚɟɬɫɹɫɭɦɦɚɪɹɞɚ
a
ɛ
ɚ
n
S
n
Ʉɚɤɨɛɨɡɧɚɱɚɟɬɫɹɱɚɫɬɢɱɧɚɹɫɭɦɦɚɪɹɞɚ
a
ɛ
ɚ
n
S
n
Ʉɚɤɨɛɨɡɧɚɱɚɟɬɫɹɨɛɳɢɣɱɥɟɧɪɹɞɚ
a
ɚ
ɛ
n
S
n
ȼɤɚɤɢɯɫɥɭɱɚɹɯɦɨɠɧɨɭɬɜɟɪɠɞɚɬɶɱɬɨɪɹɞɫɯɨɞɢɬɫɹ
ɜ
ɜ
ɜ
ɝ
ɝ
ɝ
ɢ
n
ɢ
n
ɢ
n
ɚ
ɞ
ɢ
OLP
n
ɛ
OLP
S
fonn
ɟ
OLP r
S
fonn
ɤ
uS
fo
nn
onn
onn
OLP uS
n
o
S
S
n
ɜ
OLP
ɠ
OLP
r
Ʉɚɤɢɟɢɡɭɬɜɟɪɠɞɟɧɢɣɜɟɪɧɵ
ɟɫɥɢ
ɚ
ɟɫɥɢɪɹɞ
ɛ
ɟɫɥɢ
ɜ
ɟɫɥɢ
ɝ
ɪɹɞ
ɞ
n
n
n
f
¦
n
OLP
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OLP
fo
q
f
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n
n
n
n
n
ɫɯɨɞɢɬɫɹɩɪɢ
ɬɨɫɭɦɦɚɪɹɞɚɪɚɜɧɚS
f foSS
ɪɚɫɯɨɞɢɬɫɹɬɨɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɫɬɶ
u
n
ɢ
f foSS
OLP
fo
n
ɬɨɪɹɞ
f
SS
fonn
ɡ
f
SOLP
fonn
onn
onn
ɝ
OLP
S
^`
S
ɧɟɨɝɪɚɧɢɱɟɧɧɚ
n
ɬɨɫɭɦɦɚɪɹɞɚɪɚɜɧɚS
f
SS
n
f
ɫɯɨɞɢɬɫɹ
u
n
¦
n
!q
OLP
S
f
SOLP
f
ɇɚɣɞɢɬɟ
ɞɥɹɪɹɞɚ
u
¦
n
ɍɤɚɠɢɬɟɨɛɳɢɣɱɥɟɧɪɹɞɚ
n
n
n
ɇɚɣɬɢɨɛɳɢɣɱɥɟɧɪɹɞɚɫɱɚɫɬɢɱɧɨɣɫɭɦɦɨɣ
ɋɯɨɞɢɬɫɹɥɢɪɹɞɟɫɥɢ
ɚ
ɑɬɨɦɨɠɧɨɫɤɚɡɚɬɶɨɫɯɨɞɢɦɨɫɬɢ
ɑɬɨɦɨɠɧɨɫɤɚɡɚɬɶɨɫɯɨɞɢɦɨɫɬɢ
Ⱦɥɹɪɹɞɚ
ɛ
nSnFRV
f
ɢɡɜɟɫɬɧɨɱɬɨ
u
n
¦
n
n
OQ nS
f
ɟɫɥɢ
v
n
¦
n
f
ɟɫɥɢ
v
n
¦
n
ɋɯɨɞɢɬɫɹɥɢɞɚɧɧɵɣɪɹɞ"
u
OLP z
fonn
n
S
n
ɜ
n
S
v
fonn
v
fonn
n
n
"
OLP
"
OLP
əɜɥɹɟɬɫɹɥɢɧɟɨɛɯɨɞɢɦɵɦɭɫɥɨɜɢɟɦɫɯɨɞɢɦɨɫɬɢɪɹɞɚ
ɫɯɨɞɢɦɨɫɬɶɪɹɞɨɜ
f
¦
n
f
ɢ
u
n
¦
n
"
v
n
əɜɥɹɟɬɫɹ ɥɢ ɞɨɫɬɚɬɨɱɧɵɦ ɭɫɥɨɜɢɟɦ ɫɯɨɞɢɦɨɫɬɢ ɪɹɞɚ
ɫɯɨɞɢɦɨɫɬɶɪɹɞɨɜ
f
¦
n
f
ɢ
u
n
¦
n
"
v
n
f
¦
n
¦
vu
f
n
nn
vu
nn
f
¦
u
n
n
±ɫɯɨɞɢɬɫɹ
f
±ɪɚɫɯɨɞɢɬɫɹɉɪɢɷɬɢɯɭɫɥɨɜɢɹɯɭɤɚɠɢɬɟɯɚ
v
n
¦
n
ɪɚɤɬɟɪɫɯɨɞɢɦɨɫɬɢ ɫɯɨɞɢɬɫɹɪɚɫɯɨɞɢɬɫɹɭɤɚɡɚɬɶɯɚɪɚɤɬɟɪ ɫɯɨɞɢɦɨɫɬɢɧɟɜɨɡ
ɦɨɠɧɨɤɚɠɞɨɝɨɢɡɪɹɞɨɜ
f
ɚ
ɞ
ɛ
u
n
¦
n
f
vu
¦
n
nn
ɟ
f
¦
n
f
¦
n
u
n
u
v
ɜ
n
ɠ
n
f
ɝ
u
n
¦
n
f
uv
nn
ɡ
¦
n
Ʉɚɤɢɟɢɡɭɬɜɟɪɠɞɟɧɢɣɜɟɪɧɵ
ɚ
ɟɫɥɢɪɹɞ
ɟɫɥɢɪɹɞɵ
ɛ
ɟɫɥɢɪɹɞɵ
ɜ
ɬɚɤɱɬɨɛɵɪɹɞ
f
¦
n
f
¦
f
¦
ɫɯɨɞɢɬɫɹɬɨɪɹɞɵ
vu
nn
f
ɢ
v
n
¦
v
ɢ
n
f
¦
n
n
f
¦
u
n
n
n
ɫɯɨɞɹɬɫɹɬɨɪɹɞ
vu
nn
ɫɯɨɞɹɬɫɹɬɨɦɨɠɧɨɥɢɩɨɞɨɛɪɚɬɶɱɢɫɥɚaɢb
n
ɛɵɥɪɚɫɯɨɞɹɳɢɦɫɹ
bvau
nn
f
¦
n
f
ɢ
u
n
ɬɚɤɠɟɫɯɨɞɹɬɫɹ
v
n
¦
n
f
ɬɚɤɠɟɫɯɨɞɢɬɫɹ
u
n
¦
n
ɋɞɟɥɚɬɶ ɜɵɜɨɞɨ ɫɯɨɞɢɦɨɫɬɢ ɪɹɞɚ ɧɚ ɨɫɧɨɜɚɧɢɢɧɟɨɛɯɨɞɢɦɨɝɨ ɭɫɥɨ
f
ɜɢɹɫɯɨɞɢɦɨɫɬɢ
¦
nn
nnn
f
¦
u
n
n
f
¦
n
vu
nn
ɇɚɣɬɢɭɸɱɚɫɬɢɱɧɭɸɫɭɦɦɭɪɹɞɚ
n
ȼɵɛɟɪɢɬɟɪɹɞɵɹɜɥɹɸɳɢɟɫɹɫɯɨɞɹɳɢɦɢɫɹɝɟɨɦɟɬɪɢɱɟɫɤɢɦɢɩɪɨɝɪɟɫ
N
ɫɢɹɦɢ
ɚ
ɝ
¦
n
¦
n
f
ɛ
n
f
n
ɞ
f
ɜ
¦
n
n
f
n
ɟ
¦
n
f
n
¦
n
f
OQ
¦
n
n
Ʉɚɤɢɟ ɢɡ ɪɹɞɨɜ ɦɨɠɧɨ ɢɫɫɥɟɞɨɜɚɬɶ ɧɚ ɫɯɨɞɢɦɨɫɬɶ ɫ ɩɨɦɨɳɶɸ ɢɧɬɟ
ɝɪɚɥɶɧɨɝɨɩɪɢɡɧɚɤɚɄɨɲɢ
f
ɚ
ɝ
¦
f
¦
ɛ
OQnnn
VLQnnn
ɞ
ɂɡɜɟɫɬɧɨ ɱɬɨ
¦
n
¦
vu dd
nn
f
f
VLQnn
ɞɥɹ
ɜ
OQ
nn
ɟ
nn t
f
n
¦
¦
OQnn
f
n
VLQnn
Ʉɚɤɢɟ ɢɡ ɭɬɜɟɪɠɞɟɧɢɣ ɹɜ
ɥɹɸɬɫɹɜɟɪɧɵɦɢ
f
ɚ
ɫɯɨɞɢɦɨɫɬɶ ɪɹɞɚ
f
¦
n
v
n
ɪɹɞɚ
ɹɜɥɹɟɬɫɹ ɧɟɨɛɯɨɞɢɦɵɦ ɭɫɥɨɜɢɟɦ ɫɯɨɞɢɦɨɫɬɢ
u
n
¦
n
n
f
ɛ
ɫɯɨɞɢɦɨɫɬɶ ɪɹɞɚ
f
¦
n
v
n
ɪɹɞɚ
ɹɜɥɹɟɬɫɹ ɞɨɫɬɚɬɨɱɧɵɦ ɭɫɥɨɜɢɟɦ ɫɯɨɞɢɦɨɫɬɢ
u
n
¦
n
f
ɫɯɨɞɢɦɨɫɬɶɪɹɞɚ
ɜ
¦
n
ɜɢɹɦɢɫɯɨɞɢɦɨɫɬɢɪɹɞɚ
f
ɝ
ɫɯɨɞɢɦɨɫɬɶɪɹɞɚ
¦
n
ɭɫɥɨɜɢɹɦɢɫɯɨɞɢɦɨɫɬɢɪɹɞɚ
f
n
Ⱦɥɹɪɹɞɚ
¦
n
nn
ɹɜɥɹɟɬɫɹɢɧɟɨɛɯɨɞɢɦɵɦɢɞɨɫɬɚɬɨɱɧɵɦɭɫɥɨ
u
n
f
v
n
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