ɲɢɜɚɧɢɟ
&
ɤɨɝɞɚ ɩɪɨɢɡɜɨɞɢɬɫɹ ɫɥɨɠɟɧɢɟ ɢɧɮɨɪɦɚɰɢɨɧɧɨɝɨ ɫɢɝɧɚɥɚ ɫ ɯɚ
'
ɨɬɢɱɟɫɤɢɦ ɜ ɰɟɩɢ ɨɛɪɚɬɧɨɣ ɫɜɹɡɢ ɝɟɧɟɪɚɬɨɪɚ ɯɚɨɬɢɱɟɫɤɢɯ ɤɨɥɟɛɚɧɢɣ ɢ
ɷɬɚ ɠɟ ɫɭɦɦɚ ɩɟɪɟɞɚɟɬɫɹ ɩɨ ɤɚɧɚɥɭ ɫɜɹɡɢ
(
Ɉɫɨɛɟɧɧɨɫɬɶ ɦɟɬɨɞɨɜ ɨɩɬɢɦɚɥɶɧɨɣ ɮɢɥɶɬɪɚɰɢɢ ɢ
&
ɜ ɱɚɫɬɧɨɫɬɢ
&
ɚɥ
'
ɝɨɪɢɬɦɚ ɊɎɄ ɡɚɤɥɸɱɚɟɬɫɹ ɜ ɬɨɦ
&
ɱɬɨ ɞɥɹ ɪɚɡɧɵɯ ɫɩɨɫɨɛɨɜ ɧɚɥɨɠɟɧɢɹ
ɢɧɮɨɪɦɚɰɢɨɧɧɵɯ ɫɨɨɛɳɟɧɢɣ ɧɚ ɯɚɨɬɢɱɟɫɤɢɟ ɤɨɥɟɛɚɧɢɹ ɢɦɟɟɬɫɹ ɨɞɧɚ ɢ
ɬɚ ɠɟ ɮɨɪɦɭɥɶɧɚɹ ɡɚɩɢɫɶ ɢ ɚɥɝɨɪɢɬɦ ɩɨɥɭɱɟɧɢɹ ɢɧɮɨɪɦɚɰɢɨɧɧɵɯ ɫɨ
'
ɨɛɳɟɧɢɣ ɧɚ ɩɪɢɟɦɧɨɦ ɤɨɧɰɟ ɞɥɹ ɪɚɡɧɵɯ ɫɩɨɫɨɛɨɜ ɨɫɬɚɟɬɫɹ ɨɞɧɢɦ ɢ
ɬɟɦ ɠɟ
4
ɜɨ ɜɫɟɯ ɫɥɭɱɚɹɯ ɞɟɦɨɞɭɥɹɬɨɪ ɞɨɥɠɟɧ ɩɨɥɭɱɚɬɶ ɨɰɟɧɤɢ ɩɨɥɟɡɧɵɯ
ɫɨɨɛɳɟɧɢɣ ɫɨɜɦɟɫɬɧɨ ɫ ɨɰɟɧɤɚɦɢ ɤɨɦɩɨɧɟɧɬ ɯɚɨɬɢɱɟɫɤɢɯ ɤɨɥɟɛɚɧɢɣ
(
Ɇɨɠɧɨ ɧɟ ɞɟɥɚɬɶ ɪɚɡɥɢɱɢɣ ɦɟɠɞɭ ɤɨɧɤɪɟɬɧɵɦɢ ɫɩɨɫɨɛɚɦɢ ɢ ɪɚɫɫɦɚ
'
ɬɪɢɜɚɬɶ ɢɯ ɜ ɰɟɥɨɦ
(
Ʉɚɤɨɣ ɢɦɟɧɧɨ ɫɩɨɫɨɛ ɧɚɥɨɠɟɧɢɹ ɥɭɱɲɟ
&
ɩɪɢ ɤɚɤɢɯ
ɭɫɥɨɜɢɹɯ ɢ ɩɨɱɟɦɭ
ɷɬɨ ɨɬɞɟɥɶɧɚɹ ɬɟɦɚ
&
ɥɢɲɶ ɱɚɫɬɢɱɧɨ ɡɚɬɪɨɧɭɬɚɹ
ɞɚɥɟɟ
(
Ɉɛɨɛɳɟɧɧɚɹ ɫɯɟɦɚ ɩɟɪɟɞɚɬɱɢɤɚ ɩɪɟɞɫɬɚɜɥɟɧɚ ɧɚ ɪɢɫ
( -(
ɉɨ ɫɭɬɢ
&
ɜɫɟ
ɫɩɨɫɨɛɵ ɧɚɥɨɠɟɧɢɹ ɢɧɮɨɪɦɚɰɢɨɧɧɨɝɨ ɫɢɝɧɚɥɚ ɧɚ ɯɚɨɬɢɱɟɫɤɢɣ ɫɜɨɞɹɬ
'
ɫɹ ɤ ɜɚɪɢɚɧɬɭ
&
ɩɪɟɞɫɬɚɜɥɟɧɧɨɦɭ ɧɚ ɪɢɫ
( ,&
ɛ
&
ɢ ɜɫɟ ɷɬɢ ɫɩɨɫɨɛɵ ɦɨɝɭɬ
ɧɚɡɵɜɚɬɶɫɹ ɯɚɨɬɢɱɟɫɤɨɣ ɦɨɞɭɥɹɰɢɟɣ
(
ɉɪɢ ɷɬɨɦ ɜ ɫɥɭɱɚɟ
&
ɟɫɥɢ ɜ ɩɟɪɟɞɚɬɱɢɤɟ ɩɪɢɦɟɧɹɟɬɫɹ ɯɚɨɬɢɱɟɫɤɚɹ
ɦɚɫɤɢɪɨɜɤɚ
&
ɜɵɯɨɞɧɨɣ ɫɢɝɧɚɥ ɢɦɟɟɬ ɜɢɞ
s
(
t, w, x
) =
x
(
t
)+
w
(
t
)
&
ɜ ɫɥɭɱɚɟ
ɦɨɞɭɥɹɰɢɢ ɩɚɪɚɦɟɬɪɚ ɝɟɧɟɪɚɬɨɪɚ
s
(
t, w, x
) =
x
(
t, w
)
&
ɜ ɫɥɭɱɚɟ ɧɟɥɢ
'
ɧɟɣɧɨɝɨ ɩɨɞɦɟɲɢɜɚɧɢɹ
s
(
t, w, x
) =
x
(
t, w
) +
w
(
t
)
(
Ɇɨɠɧɨ ɫɱɢɬɚɬɶ
&
ɱɬɨ ɢɫɬɨɱɧɢɤ ɫɨɨɛɳɟɧɢɹ ɢ ɝɟɧɟɪɚɬɨɪ ɯɚɨɬɢɱɟɫɤɢɯ ɤɨɥɟɛɚɧɢɣ ɪɚɫɫɦɚ
'
ɬɪɢɜɚɸɬɫɹ ɤɚɤ ɟɞɢɧɚɹ ɫɢɫɬɟɦɚ
(
Ɇɚɬɟɦɚɬɢɱɟɫɤɚɹ ɦɨɞɟɥɶ ɩɪɢɟɦɧɵɯ ɭɫɬɪɨɣɫɬɜ ɞɥɹ ɨɛɳɟɝɨ ɫɥɭɱɚɹ
(
ɂɫɩɨɥɶɡɭɟɦ ɚɥɝɨɪɢɬɦ ɊɎɄ
(
Ʉɚɤ ɢ ɜ ɫɥɭɱɚɟ ɫɢɧɯɪɨɧɢɡɚɰɢɢ
&
ɬɪɟɛɭɟɬ
'
ɫɹ ɞɨɫɬɢɱɶ ɜ ɞɜɭɯ ɫɚɦɨɫɬɨɹɬɟɥɶɧɵɯ ɧɟɥɢɧɟɣɧɵɯ ɫɢɫɬɟɦɚɯ ɨɞɢɧɚɤɨɜɨɝɨ
ɫɨɫɬɨɹɧɢɹ ɩɪɢ ɪɚɡɧɵɯ ɧɚɱɚɥɶɧɵɯ ɫɨɫɬɨɹɧɢɹɯ
&
ɧɨ
&
ɜ ɨɬɥɢɱɢɟ ɨɬ ɫɥɭɱɚɹ
ɫɢɧɯɪɨɧɢɡɚɰɢɢ
&
ɩɚɪɚɦɟɬɪɵ ɜɟɞɭɳɟɣ ɫɢɫɬɟɦɵ ɢɡɦɟɧɹɸɬɫɹ ɜɨ ɜɪɟɦɟɧɢ
(
Ɍɪɟɛɭɟɬɫɹ ɞɨɫɬɢɱɶ ɬɨɝɨ
&
ɱɬɨɛɵ ɜɟɞɨɦɚɹ ɫɢɫɬɟɦɚ ɜɨɫɩɪɨɢɡɜɨɞɢɥɚ ɬɚɤɨɣ
ɠɟ ɪɟɠɢɦ
&
ɱɬɨ ɢ ɜɟɞɭɳɚɹ
&
ɬ
(
ɟ
(
ɬɪɟɛɭɟɬɫɹ ɩɨɥɭɱɢɬɶ ɫɨɜɦɟɫɬɧɭɸ ɨɰɟɧɤɭ
ɩɨɥɟɡɧɵɯ ɫɨɨɛɳɟɧɢɣ ɢ ɤɨɦɩɨɧɟɧɬ ɯɚɨɬɢɱɟɫɤɢɯ ɤɨɥɟɛɚɧɢɣ
(
ɉɭɫɬɶ ɜɟɤ
'
ɬɨɪ ɫɨɫɬɨɹɧɢɹ ɩɟɪɟɞɚɬɱɢɤɚ ɢɦɟɟɬ ɜɢɞ
X
= (
x
1
x
2
. . . x
n
r
w
1
w
2
. . . w
n
w
)
ɬ
,
(
,.
)
ɝɞɟ
n
r
ɩɨɪɹɞɨɤ ɫɢɫɬɟɦɵ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɵɯ ɭɪɚɜɧɟɧɢɣ
&
ɨɩɢɫɵɜɚ
'
ɸɳɢɯ ɝɟɧɟɪɚɬɨɪ ɯɚɨɬɢɱɟɫɤɢɯ ɤɨɥɟɛɚɧɢɣ
5
n
w
ɤɨɥɢɱɟɫɬɜɨ ɢɧɮɨɪɦɚ
'
Ɋɢɫ
( -(
Ɉɛɨɛɳɟɧɧɚɹ ɫɯɟɦɚ ɯɚɨɬɢɱɟɫɤɨɝɨ ɦɨɞɭɥɹɬɨɪɚ
CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+ +++