ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
176
ɝɞɟ
(0; 0,5)
D
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ɮɢɤɫɢɪɨɜɚɧɧɨɟ ɱɢɫɥɨ (ɜ ɪɚɛɨɬɟ
0, 25
D
).
Ʉɪɨɦɟ
ɬɨɝɨ, ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɮɭɧɤɰɢɢ (2) ɞɥɹ ɭɡɥɚ
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W
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1
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d d
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ɫɟɬɤɢ
0
A
ɢɡ (1) ɜɜɨɞɢɬɫɹ ɝɥɚɞɤɚɹ ɮɭɧɤɰɢɹ
1
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B
ɜɢɞɚ
2
2
2
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2
2
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0,
;
,
[ ; );
( )
1
,
[ ;
];
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.
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(3)
ɉɪɢ ɞɚɥɶɧɟɣɲɟɦ ɢɡɥɨɠɟɧɢɢ ɩɨɬɪɟɛɭɸɬɫɹ ɮɭɧɤɰɢɢ ɜɢɞɚ (3) ɞɜɭɯ
ɬɢɩɨɜ.
Ⱦɥɹ ɮɭɧɤɰɢɣ ɩɟɪɜɨɝɨ ɬɢɩɚ ɫɟɬɤɚ ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɭɫɥɨɜɢɹɦ
1 0
1
2 1
2
1 3 2
3
2
0
1
1 1
2
1
2 2
3
2
3
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W
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W
W
W
W
W
W
W
W
W
W
W
W
W
W
(4)
Ʉɪɨɦɟ ɬɨɝɨ, ɞɥɹ ɮɭɧɤɰɢɣ ɜɢɞɚ (3) ɩɟɪɜɨɝɨ ɬɢɩɚ
1
1
1
,
1
1.
i
i
B B
i N
d d
(5)
ȿɫɥɢ ɠɟ ɞɥɹ ɪɚɫɲɢɪɟɧɧɨɣ ɫɟɬɤɢ
0
A
ɢɡ (1) ɫɩɪɚɜɟɞɥɢɜɵ ɫɨɨɬɧɨ-
ɲɟɧɢɹ
1
1
1 1
0
,
,
2
2
N N
N
W
W
W
W
W
W
(6)
ɬɨ ɞɥɹ ɮɭɧɤɰɢɣ ɜɢɞɚ (3) ɜɬɨɪɨɝɨ ɬɢɩɚ
2
1
1
,
1
1.
i
i
B B
i N
d d
(7)
Ɏɭɧɤɰɢɢ ɜɢɞɚ (5) (ɩɟɪɜɨɝɨ ɬɢɩɚ), ɢɧɞɭɰɢɪɨɜɚɧɧɵɟ ɫɟɬɤɨɣ
0
A
ɢɡ
(1),
ɤɨɬɨɪɚɹ ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɭɫɥɨɜɢɹɦ (4), ɩɪɟɞɧɚɡɧɚɱɟɧɵ ɞɥɹ ɜɜɟɞɟɧɢɹ
ɥɢɧɟɣɧɨɝɨ ɩɪɨɫɬɪɚɧɫɬɜɚ ɝɥɚɞɤɢɯ ɧɚ ɨɬɪɟɡɤɟ
[ ; ]
S S
ɫɩɥɚɣɧɨɜ, ɢɦɟ-
ɸɳɢɯ ɜ ɤɨɧɰɚɯ ɷɬɨɝɨ ɨɬɪɟɡɤɚ ɨɞɢɧɚɤɨɜɵɟ ɡɧɚɱɟɧɢɹ ɢ ɪɚɜɧɵɟ ɨɞɧɨ-
ɫɬɨɪɨɧɧɢɟ ɩɪɨɢɡɜɨɞɧɵɟ (ɫɜɨɣɫɬɜɨ «ɩɟɪɢɨɞɢɱɧɨɫɬɢ» ɫɩɥɚɣɧɚ). Ȼɚɡɢɫ-
ɧɵɟ ɝɥɚɞɤɢɟ ɫɩɥɚɣɧɵ
1
H
, …,
1
N
H
ɷɬɨɝɨ ɩɪɨɫɬɪɚɧɫɬɜɚ, ɨɩɪɟɞɟɥɟɧ-
ɧɵɟ ɬɨɥɶɤɨ ɧɚ ɨɬɪɟɡɤɟ
[ ; ]
S S
,
ɢɦɟɸɬ ɜɢɞ