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§4. Ʉԛɲɬɟɪ ɠɚɡɵԕ ɠԛɣɟɫɿɧɿԙ ɬɟɩɟ-ɬɟԙɞɿɤ ɲɚɪɬɬɚɪɵ
ȿɝɟɪ ɤԛɲɬɟɪ ɠɚɡɵԕ ɠԛɣɟɫɿɧɿԙ ɛɚɫ ɜɟɤɬɨɪɵ ɦɟɧ ɛɚɫ ɦɨɦɟɧɬɿ ɧԧɥɝɟ ɬɟԙ
ɛɨɥɦɚɫɚ, ɨɧɞɚ ɨɫɵ ɤԛɲɬɟɪ ɠɚɡɵԕ ɠԛɣɟɫɿ ԥɫɟɪ ɟɬɿɩ ɬԝɪԑɚɧ ɟɪɤɿɧ ɞɟɧɟ ɬɟɩɟ-
ɬɟԙɞɿɤ ɤԛɣɞɟ ɛɨɥɦɚɣɞɵ.
Ⱦɟɧɟɝɟ ԥɫɟɪ ɟɬɿɩ ɬԝɪԑɚɧ ɤԛɲɬɟɪ ɠԛɣɟɫɿɧɿԙ ɛɚɫ ɜɟɤɬɨɪɵ ɦɟɧ ɛɚɫ ɦɨɦɟɧɬɿ
ɧԧɥɝɟ ɬɟԙ ɛɨɥԑɚɧ ɠɚԑɞɚɣɞɚ ԑɚɧɚ ɟɪɤɿɧ ɞɟɧɟ ɬɟɩɟ-ɬɟԙɞɿɤ ɤԛɣɞɟ ɛɨɥɚɞɵ.
ɒɵɧɞɵԑɵɧɞɚ, ɟɝɟɪ ɤԛɲɬɟɪ ɠԛɣɟɫɿɧɿԙ ɛɚɫ ɜɟɤɬɨɪɵ ɦɟɧ ɛɚɫ ɦɨɦɟɧɬɿ ɧԧɥɝɟ ɬɟԙ
ɛɨɥɦɚɫɚ, ɨɧɞɚ ɤԛɲɬɟɪ ɠԛɣɟɫɿ ɬɟԙ ԥɫɟɪ ɟɬɭɲɿ ɤԛɲɤɟ ɧɟɦɟɫɟ ɠԝɩԕɚ
ɤɟɥɬɿɪɿɥɟɞɿ, ɞɟɦɟɤ ɬɟɩɟ-ɬɟԙɞɿɤ ɛɨɥɦɚɣɞɵ. Ⱥɥ ɛɚɫ ɜɟɤɬɨɪ ɧԧɥɝɟ ɬɟԙ ɛɨɥԑɚɧ
ɠɚԑɞɚɣɞɚ ɰɟɧɬɪɝɟ ɤɟɥɬɿɪɿɥɝɟɧ ɛɚɪɥɵԕ ɤԛɲɬɟɪ ( F1/ , F2/ ,..., Fn/ ) ɬɟԙɞɟɫɬɿɪɿɥɟɞɿ,
ɫɨɥ ɫɟɤɿɥɞɿ, ɛɚɫ ɦɨɦɟɧɬ ɧԧɥɝɟ ɬɟԙ ɛɨɥԑɚɧɞɚ ɠԝɩɬɚɪɞɚ ( F1, F1// ), ( F2 , F2// ),…,
( Fn , Fn// ) ɬɟɩɟ-ɬɟԙɞɿɤ ɤԛɣɞɟ ɛɨɥɚɞɵ. Cɨɧɞɵԕɬɚɧ ɛɟɪɿɥɝɟɧ ɤԛɲɬɟɪ ɠԛɣɟɫɿɧɟ
^F1, F2,..., Fn` ɷɤɜɢɜɚɥɟɧɬ ɠԛɣɟ ^ `F1/ , F2/ ,..., Fn/ ;(F1,F1// ),(F2 ,F2// ),...,(Fn ,Fn// )
ɬɟԙɞɟɫɬɿɪɿɥɝɟɧ ɠԛɣɟ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ.
ɋɨɧɵɦɟɧ, ɟɪɤɿɧ Ιɚɬɬɵ ɞɟɧɟɝɟ Ωɫɟɪ ɟɬɭɲɿ ɤɟɡ ɤɟɥɝɟɧ ɤΟɲɬɟɪ ɠɚɡɵΙ
ɠΟɣɟɫɿ ɬɟɩɟ-ɬɟΝɞɿɤ ɤΟɣɞɟ ɛɨɥɭ Οɲɿɧ, ɨɧɵΝ ɛɚɫ ɜɟɤɬɨɪɵ ɦɟɧ ɛɚɫ ɦɨɦɟɧɬɿ
ɧΫɥɝɟ ɬɟΝ ɛɨɥɭɵ Ιɚɠɟɬ ɠΩɧɟ ɠɟɬɤɿɥɿɤɬɿ. ȻΡɥ ɦɨɦɟɧɬ, ɨɫɵ ɠΟɣɟɧɿΝ
ɤΟɲɬɟɪ Ωɫɟɪɿ ɠɚɡɵΙɬɵΕɵɧɵΝ ɤɟɡ ɤɟɥɝɟɧ ɧΟɤɬɟɫɿ ɚɪΙɵɥɵ ɚɥɵɧɚɞɵ. Ⱦɟɦɟɤ:
¦ ¦Fi 0 , MO (Fi ) 0 . (18)
Ⱥɥɵɧԑɚɧ ɬɟԙɞɿɤɬɟɪ, ɤԛɲɬɟɪ ɠɚɡɵԕ ɠԛɣɟɫɿ ɬɟɩɟ-ɬɟԙɞɿɤ ɤԛɣɞɟ ɛɨɥɭ ԛɲɿɧ
ԕɚɠɟɬ ɠԥɧɟ ɠɟɬɤɿɥɿɤɬɿ ɲɚɪɬɬɚɪ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ. Ȼɿɪɚԕ, ɛԝɥ ɬɟԙɞɿɤɬɟɪɞɿ ɟɫɟɩ
ɲɵԑɚɪɭԑɚ ԕɨɥɞɚɧԑɚɧɞɚ, ɤɟɣɛɿɪ ɵԙԑɚɣɫɵɡɞɵԕɬɚɪ ɬɭɵɧɞɚɣɞɵ, ԧɣɬɤɟɧɿ 18-
ɮɨɪɦɭɥɚɧɵΝ ɛɿɪɿɧɲɿ ɬɟԙɞɿɝɿ – ɜɟɤɬɨɪ. ɋɨɧɞɵԕɬɚɧ ɛɿɪɿɧɲɿ ɬɟԙɞɿɤɬɿ ɫɤɚɥɹɪ
ɬԛɪɿɧɞɟ ɠɚɡɚɣɵԕ.
Ȼɚɫ ɜɟɤɬɨɪ ɦɨɞɭɥɿ ɛɨɣɵɧɲɚ: Fɛ (Fɛx )2 (Fɛy )2 , ɚɥ ɛԝɥ ԧɪɧɟɤɬɟɝɿ
¦ ¦Fɛx Fix , Fɛy Fiy
Ʉԛɲɬɟɪ ɠԛɣɟɫɿ ɬɟɩɟ-ɬɟԙɞɿɤɬɟ ɛɨɥԑɚɧ ɤɟɡɞɟ, ɛɚɫ ɜɟɤɬɨɪɞɵԙ ɦɨɞɭɥɿ ɧԧɥɝɟ
ɬɟԙ ɛɨɥɚɬɵɧɞɵԕɬɚɧ, ɨɧɵԙ ɤɨɨɪɞɢɧɚɬɚ ɨɫɶɬɟɪɿɧɞɟɝɿ ɩɪɨɟɤɰɢɹɥɚɪɵ ɞɚ ɧԧɥɝɟ
ɬɟԙ ɛɨɥɚɞɵ, ɹԑɧɢ
¦ ¦Fɛx Fix 0 , Fɛy Fiy 0 .
Ɉɫɵ ɟɤɿ ɬɟԙɞɟɭɝɟ 18-ɮɨɪɦɭɥɚɞɚԑɵ ɟɤɿɧɲɿ ɬɟԙɞɟɭɞɿ ԕɨɫɵɩ, ɤԛɲɬɟɪɞɿԙ
ɠɚɡɵԕ ɠԛɣɟɫɿ ԛɲɿɧ ɬɟɩɟ-ɬɟԙɞɿɤɬɿԙ ɫɤɚɥɹɪ ɬԛɪɿɧɞɟɝɿ ԛɲ ɲɚɪɬɵɧ ɚɥɚɦɵɡ, ɨɥɚɪ:
¦ ¦ ¦Fɛx Fix 0 , Fɛy Fiy 0 , MO (Fi ) 0 . (19)
Ԕɨɪɵɬɚ ɚɣɬԕɚɧɞɚ, ɟɪɤɿɧ Ιɚɬɬɵ ɞɟɧɟɝɟ Ωɫɟɪ ɟɬɭɲɿ ɤɟɡ ɤɟɥɝɟɧ ɤΟɲɬɟɪɞɿΝ
ɠɚɡɵΙ ɠΟɣɟɫɿ ɬɟɩɟ-ɬɟΝɞɿɤɬɟ ɛɨɥɭ Οɲɿɧ:
- Ωɫɟɪ ɟɬɭɲɿ ɤΟɲɬɟɪɞɿΝ, ɨɫɵ ɤΟɲɬɟɪ Ωɫɟɪ ɟɬɿɩ ɬΡɪΕɚɧ ɠɚɡɵΙɬɵΙɬɚΕɵ
ɟɤɿ ɤɨɨɪɞɢɧɚɬɚ ɨɫɶɬɟɪɿɧɞɟɝɿ ɩɪɨɟɤɰɢɹɥɚɪɵɧɵΝ ɛɚɪɥɵΕɵɧɵΝ ɠɢɵɧɵ ɧΫɥɝɟ
ɬɟΝ ɛɨɥɭɵ;
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