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4. Ʌɚɝɪɚɧɠ ɬɟԙɞɟɭɥɟɪɿɧɿԙ 2-ɬԛɪɿ ɞɢɧɚɦɢɤɚɧɵԙ ɛɚɫԕɚ ɬɟԙɞɟɭɥɟɪɿɧɟɧ
ɚɪɬɵԕɲɵɥɵԕɬɚɪɵ: ɚ) ɨɥɚɪɞɵԙ ɬɵԑɵɡɞɵɥɵԑɵ (ɤɨɦɩɚɤɬɿɥɿɝɿ), ԥ) ɬɟԙɞɟɭɥɟɪɝɟ
ɬɿɪɟɤ ɪɟɚɤɰɢɹɥɚɪɵ ɤɿɪɦɟɣɞɿ, ɛ) ɨɥɚɪɞɵ ԕԝɪɭ ɬԥɫɿɥɿ, ɛɚɪɥɵԕ ɟɫɟɩɬɟɪ ԛɲɿɧ
ɛɿɪɞɟɣ, ɜ) ɠԛɣɟ ԕɨɡԑɚɥɵɫɵɧɵԙ ɬɟԙɞɟɭɥɟɪɿ ɠɟɬɤɿɥɿɤɬɿ ɬԛɪɞɟ ɚɡ ɛɨɥɚɞɵ.
ȿɫɟɩɬɟɪɞɿ Ʌɚɝɪɚɧɠ ɬɟԙɞɟɭɥɟɪɿɧɿԙ 2-ɬԛɪɿɧ ԕɨɥɞɚɧɵɩ ɲɵԑɚɪԑɚɧɞɚ, ɤɟɥɟɫɿ
ɟɪɟɠɟɥɟɪɞɿ ɩɚɣɞɚɥɚɧԑɚɧ ɬɢɿɦɞɿ ɛɨɥɚɞɵ:
   – ɦɟɯɚɧɢɤɚɥɵԕ ɠԛɣɟɧɿ ɛԧɥɿɩ ɚɥɭ;
- ɛԧɥɿɧɿɩ ɚɥɵɧԑɚɧ ɠԛɣɟɧɿԙ ɤɟɡ ɤɟɥɝɟɧ ɭɚԕɵɬ ɫԥɬɿɧɞɟɝɿ ɫԛɥɛɟɫɿɧ ɤԧɪɫɟɬɭ;
- ɛԧɥɿɧɿɩ ɚɥɵɧԑɚɧ ɠԛɣɟɝɟ ԥɫɟɪ ɟɬɭɲɿ ɛɚɪɥɵԕ ɛɟɥɫɟɧɞɿ ɤԛɲɬɟɪɞɿ ɤԧɪɫɟɬɭ
(ɟɝɟɪ ɛɚɪ ɛɨɥɫɚ, ԛɣɤɟɥɿɫ ɤԛɲɬɟɪɿ ɛɟɥɫɟɧɞɿ ɤԛɲ ɪɟɬɿɧɞɟ ɤԧɪɫɟɬɿɥɟɞɿ, ɚɥ ɢɞɟɚɥ
ɛɚɣɥɚɧɵɫɬɚɪɞɵԙ ɪɟɚɤɰɢɹɥɚɪɵ ɤԧɪɫɟɬɿɥɦɟɣɞɿ);
   - ɛԧɥɿɧɿɩ ɚɥɵɧԑɚɧ ɠԛɣɟɧɿԙ ɟɪɤɿɧɞɿɤ ɞԥɪɟɠɟɫɿɧ ɚɧɵԕɬɚɩ, ɠɚɥɩɵɥɚɧԑɚɧ
ɤɨɨɪɞɢɧɚɬɬɚɪɞɵ ɬɚԙɞɚɩ ɚɥɭ;
– ɬɚԙɞɚɥɵɩ ɚɥɵɧԑɚɧ ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪԑɚ ɫԥɣɤɟɫ ɠɚɥɩɵɥɚɧԑɚɧ
ɤԛɲɬɟɪɞɿ ɟɫɟɩɬɟɭ;
– ɤɢɧɟɬɢɤɚɥɵԕ ɷɧɟɪɝɢɹɧɵ ɚɧɵԕɬɚɭ;

-  ɤɢɧɟɬɢɤɚɥɵԕ  ɷɧɟɪɝɢɹɞɚɧ  ɞɟɪɛɟɫ  ɬɭɵɧɞɵɥɚɪɞɵ  ɬɚɛɭ  (  wT  ɠԥɧɟ  wT );
                                                          wq           x

                                                                    wq

– ɛɟɥɝɿɫɿɡ ɛɟɥɫɟɧɞɿ ɤԛɲɬɟɪɞɿ, ɛɟɥɝɿɫɿɡ ɪɟɚɤɰɢɹɥɚɪɞɵ ɧɟɦɟɫɟ ɠԛɣɟ
ԕɨɡԑɚɥɵɫɵɧ ɚɧɵԕɬɚɭ.

   Ɇɵɫɚɥ. Ȼɿɪɟɭɿ ԕɨɡԑɚɥɦɚɣɬɵɧ ( I ), ɟɤɿɧɲɿɫɿ ԕɨɡԑɚɥɚɬɵɧ ( II ) ɟɤɿ ɫɚɥɦɚԕɫɵɡ
ɲɵԑɵɪɥɚɪɞɚɧ (ɛɥɨɤɬɚɪ) ɬԝɪɚɬɵɧ ɠԛɣɟɧɿ ԕɚɪɚɫɬɵɪɚɦɵɡ. ɋɨɡɵɥɦɚɣɬɵɧ
ɠɿɩɬɟɪ ɚɪԕɵɥɵ ɲɵԑɵɪɥɚɪԑɚ ԛɲ ɠԛɤ – M1 , M 2 ɠԥɧɟ M 3 ɿɥɿɧɿɩ ԕɨɣɵɥԑɚɧ
(62-ɫɭɪɟɬ).

   ɀԛɤɬɟɪɞɿԙ ɦɚɫɫɚɥɚɪɵ m1 , m2 ɠԥɧɟ m3 , ɚɥ ɨɥɚɪɞɵԙ ԕɚɬɵɧɚɫɬɚɪɵ:

m1 % m2  m3 ɠԥɧɟ m2 m3 . ɀԛɤɬɿԙ ԛɞɟɭɿɧ ɠԥɧɟ ɠԥɧɟ ɠɿɩɬɿԙ aa
ԕɢɦɚɫɵɧɞɚԑɵ ɫɨɡɵɥɭ ɤԛɲɿɧ ɚɧɵԕɬɚɭ ɤɟɪɟɤ.

   ɀԛɤɬɟɪɞɟɧ, ɲɵԑɵɪɥɚɪɞɚɧ ɠԥɧɟ ɠɿɩɬɟɪɞɟɧ ɬԝɪɚɬɵɧ ɠԛɣɟɧɿԙ ɟɪɤɿɧɞɿɤ
ɞԥɪɟɠɟɫɿ ɟɤɟɭ, ԧɣɬɤɟɧɿ ɨɧɵԙ ɨɪɧɵ ɟɤɿ ɲɚɦɚɦɟɧ – s1 ɠԥɧɟ s2 ɲɚɦɚɥɚɪɵɦɟɧ
ɬɨɥɵԑɵɦɟɧ ɚɧɵԕɬɚɥɚɞɵ. ɀɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪ ɪɟɬɿɧɞɟ s1 ɠԥɧɟ s2
ɲɚɦɚɥɚɪɵɧ ԕɚɛɵɥɞɚɣɦɵɡ.

   Ԕɚɛɵɥɞɚɧԑɚɧ ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɚɥɚɪɞɵԙ ɟɤɟɭɿɞɟ ԛɥɤɟɣɟɞɿ ɞɟɩ
ɟɫɟɩɬɟɩ, ɠԛɣɟɧɿԙ ɠɚɥɩɵɥɚɧԑɚɧ ɤԛɲɿ ɠԥɧɟ ɤɢɧɟɬɢɤɚɥɵԕ ɷɧɟɪɝɢɹɫɵ ԛɲɿɧ
ɬɟԙɞɟɭ ԕԝɪɚɦɵɡ.

   Ⱥɥɞɵɦɟɧ, s1 ɤɨɨɪɞɢɧɚɬɚɫɵɧ G s1 ɲɚɦɚԑɚ ԧɡɝɟɪɬɿɩ, ɚɥ s2 ɤɨɨɪɞɢɧɚɬɚɫɵɧ
ԧɡɝɟɪɬɩɟɣ ɠԛɣɟɝɟ ɜɢɪɬɭɚɥɞɵ ɨɪɵɧ ɚɭɵɫɬɵɪɭ ɛɟɪɟɦɿɡ.

   ɀԛɤɬɟɪɞɿԙ ɦɚɫɫɚɥɚɪɵ m1 , m2 ɠԥɧɟ m3 , ɚɥ ɨɥɚɪɞɵԙ ԕɚɬɵɧɚɫɬɚɪɵ:

m1 % m2  m3 ɠԥɧɟ m2 m3 . ɀԛɤɬɿԙ ԛɞɟɭɿɧ ɠԥɧɟ ɠԥɧɟ ɠɿɩɬɿԙ aa
ԕɢɦɚɫɵɧɞɚԑɵ ɫɨɡɵɥɭ ɤԛɲɿɧ ɚɧɵԕɬɚɭ ɤɟɪɟɤ.

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