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P. 386

ɀɭɵԕɬɚɭɲɵ ɮɭɧɤɰɢɹɧɵԙ ɛɟɪɿɥɝɟɧ ɮɭɧɤɰɢɹɞɚɧ ɚɭɵɬԕɭɵɧ ( ' ) ɨɪɞɢɧɚɬɬɚɪ

ɚɣɵɪɦɚɫɵ ɪɟɬɿɧɞɟ ɤԧɪɫɟɬɭɝɟ ɛɨɥɚɞɵ ɠԥɧɟ ɨɥ ɚɪɝɭɦɟɧɬ ɩɟɧ ɠɭɵԕɬɚɭɲɵ
ɮɭɧɤɰɢɹɧɵԙ ɩɚɪɚɦɟɬɪɥɟɪɿɧɟ ɬԥɭɟɥɞɿ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ, ɹԑɧɢ
                                                            (5.1)
                             ' 'x, r1, . . ., rm .

   ɀɭɵԕɬɚɭɲɵ ɮɭɧɤɰɢɹɥɚɪ ɬɟɨɪɢɹɫɵ ɬԥɫɿɥɿɦɟɧ ɦɟɯɚɧɢɡɦɞɟɪɞɿ ɫɢɧɬɟɡɞɟɭɞɿ
ɦɟɯɚɧɢɡɦɞɟɪɞɿ ɠɭɵԕɬɚɩ ɫɢɧɬɟɡɞɟɭ ɞɟɩ ɬɟ ɚɬɚɭԑɚ ɛɨɥɚɞɵ. Ȼԝɥ ɬԥɫɿɥɞɿ ɚɥԑɚɲ
ɪɟɬ ɉ.Ʌ. ɑɟɛɵɲɟɜ ԕɨɥɞɚɧԑɚɧ ɟɞɿ. Ɉɥ ɦɟɯɚɧɢɡɦɞɟɪɞɿ ɠɭɵԕɬɚɩ ɫɢɧɬɟɡɞɟɭ
ɦԥɫɟɥɟɫɿɧ ԛɲ ɤɟɡɟԙɧɟɧ (ɷɬɚɩɬɚɧ) ɬԝɪɚɞɵ ɞɟɩ ԕɚɪɚɫɬɵɪɚɞɵ.

69-ɫɭɪɟɬ

Ȼɿɪɿɧɲɿ ɤɟɡɟԙ – ɫɢɧɬɟɡɞɿԙ ɧɟɝɿɡɝɿ ɲɚɪɬɬɚɪɵɧ ɠԥɧɟ ԕɨɫɵɦɲɚ ɲɟɤɬɟɭɥɟɪɞɿ
ɬɚԙɞɚɩ ɚɥɭ. Ȼԝɥ ɤɟɡɟԙɞɟ, ɛɟɪɿɥɝɟɧ ɮɭɧɤɰɢɹɞɚɧ ɚɭɵɬԕɭɞɵԙ ɚɧɚɥɢɬɢɤɚɥɵԕ
ԧɪɧɟɝɿɧɿԙ ɛɟɥɝɿɥɿ ɛɨɥɭɵ ɦɿɧɞɟɬ.
   ȿɤɿɧɲɿ ɤɟɡɟԙ – ɫɢɧɬɟɡɞɿԙ ɧɟɝɿɡɝɿ ɲɚɪɬɵɧɵԙ ɚɧɚɥɢɬɢɤɚɥɵԕ ԧɪɧɟɝɿɧ
ɛɟɪɿɥɝɟɧ ɮɭɧɤɰɢɹɞɚɧ ɚɭɵɬԕɭ ɮɭɧɤɰɢɹɫɵ ɚɪԕɵɥɵ ɠɟԙɿɥɞɟɬɭ. Ȼɟɪɿɥɝɟɧ
ɮɭɧɤɰɢɹɞɚɧ ɚɭɵɬԕɭ ɮɭɧɤɰɢɹɫɵɧ ɠɟԙɿɥɞɟɬɭɞɿԙ ɵԙԑɚɣɥɵ ɬԥɫɿɥɞɟɪɿɧɿԙ ɛɿɪɿ –
Ϋɥɲɟɧɝɟɧ ɚɣɵɪɦɚ (Ϋɥɲɟɧɝɟɧ ɚɭɵɬΙɭ).

  Ԛɲɿɧɲɿ ɤɟɡɟԙ – ɛɟɪɿɥɝɟɧ ɮɭɧɤɰɢɹɞɚɧ ɟԙ ɚɡ min ɚɭɵɬԕɭ ɲɚɪɬɵɧɚɧ

ɫɢɧɬɟɡɞɿԙ ɩɚɪɚɦɟɬɪɥɟɪɿɧ ɟɫɟɩɬɟɭ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ.

  2.1. ɂɧɬɟɪɩɨɥɹɰɢɹɥɚɭ. Ȼɟɪɿɥɝɟɧ ɮɭɧɤɰɢɹɧɵԙ y Fx ɲɚɦɚɫɵ ɠԥɧɟ

ɠɭɵԕɬɚɭɲɵ ɮɭɧɤɰɢɹɧɵԙ y Px ɲɚɦɚɫɵ x0 , xm  ɤɟɫɿɧɞɿɫɿɧɿԙ

ɛɨɣɵɧɞɚԑɵ ɛɿɪɧɟɲɟ ɧԛɤɬɟɥɟɪɞɟ, ɞԥɥɿɪɟɤ ɚɣɬԕɚɧɞɚ, k ɧԛɤɬɟɥɟɪɞɟ ɛɿɪ-ɛɿɪɿɧɟ

ɫԥɣɤɟɫ ɤɟɥɟɬɿɧ ɢɧɬɟɪɩɨɥɹɰɢɹ ɬԛɪɿ – ɮɭɧɤɰɢɹɥɚɪɞɵ ɠɭɵԕɬɚɭɞɵԙ ԕɚɪɚɩɚɣɵɦ
ɬԛɪɿ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ. Ȼԝɥ ɧԛɤɬɟɥɟɪ ɢɧɬɟɪɩɨɥɹɰɢɹɥɚɭɞɵԙ ɬԛɣɿɧɞɟɪɿ ɞɟɩ
ɚɬɚɥɚɞɵ.

ɀɭɵԕɬɚɭɲɵ ɮɭɧɤɰɢɹɧɵԙ ɩɚɪɚɦɟɬɪɥɟɪɿ ɛɟɪɿɥɝɟɧ ɮɭɧɤɰɢɹɞɚɧ
ɢɧɬɟɪɩɨɥɹɰɢɹ ɬԛɣɿɧɞɟɪɞɟɝɿ ɚɭɵɬԕɭɥɚɪɞɵԙ ɛɨɥɦɚɭɵɧɵԙ, ɹԑɧɢ ɨɥɚɪɞɵԙ ɧԧɥɝɟ
ɬɟԙ ɛɨɥɭ ɲɚɪɬɵɧɚɧ ɚɧɵԕɬɚɥɚɞɵ.
                                                            (5.2)
                        Pxi   F xi  0, i 1,2, ... k .

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