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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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