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P. 548
106-ɫɭɪɟɬ
ȼ ɧԛɤɬɟɫɿ Ⱥ ɧԛɤɬɟɫɿɧɟɧ dx ԕɚɲɵԕɬɵԕɬɚ ɨɪɧɚɥɚɫԕɚɧɞɵԕɬɚɧ:
u1 M x dx, y, z u wu dx .
wx
Ⱥȼ = dx ԕɚɛɵɪԑɚɫɵɧɵԙ ɬɨɥɵԕ ԝɡɚɪɭɵ u1 u wu dx .
wx
Ɉɥ ԕɚɛɵɪԑɚɧɵԙ ɫɚɥɵɫɬɵɪɦɚɥɵ ԝɡɚɪɭɵ, ɹԑɧɢ ɞɟɮɨɪɦɚɰɢɹɫɵ:
Hx u1 u wu dx ; dx wu .
dx wx wx
Ɉɫɵɥɚɣɲɚ ԕɚɥԑɚɧ ɞɟɮɨɪɦɚɰɢɹɥɚɪɞɵ ɬɚɛɚɦɵɡ: H y wv .
wy
ȿɧɞɿ ɛԝɪɵɲɬɵԕ ɞɟɮɨɪɦɚɰɢɹɥɚɪɞɵ ɬɚɛɚɣɵԕ. Ɉɥ ԛɲɿɧ 106-ɫɭɪɟɬɤɟ ɤԧԙɿɥ
ɚɭɞɚɪɚɣɵԕ.
Ɉɫɵ ɫɭɪɟɬɬɟ ɤԧɪɫɟɬɿɥɝɟɧɞɟɣ, ɞɟɮɨɪɦɚɰɢɹԑɚ ɞɟɣɿɧ ȼȺɋ ɬɿɤɛԝɪɵɲɬɵ
D E ɛԝɪɵɲɵɧɚ ԧɡɝɟɪɟɞɿ. Ȼԝɥ xoz ɠɚɡɵԕɬɵԑɵɧɞɚԑɵ ɫɚɥɵɫɬɵɪɦɚɥɵ ɵԑɵɫɭ
ɛԝɪɵɲɵ, ɨɧɵ J zx ɞɟɩ ɛɟɥɝɿɥɟɣɦɿɡ:
J zx D E .
ȼIIȺȱȼȱ ɬɿɤɛԝɪɵɲɬɵ ԛɲɛԝɪɵɲɵɧɚɧ:
ww dx ww
wx
D | tqD BII BI wx .
AI BII wu wu
dx wx dx 1 wx
Ȼԧɥɿɦɞɟɝɿ wu ɲɚɦɚɫɵɧ ɟɫɤɟɪɦɟɫɟɤ, D ww . Ɉɫɵ ɫɟɤɿɥɞɿ E wu .
ɋɨɧɵɦɟɧ, wx wx wz
J zx wu ww .
wz wx
Ȼɚɫԕɚ ɠɚɡɵԕɬɵԕɬɚɪɞɚԑɵ ɛԝɪɵɲɬɵԕ ɞɟɮɨɪɦɚɰɢɹɥɚɪɞɵ ɨɫɵɥɚɣɲɚ ɬɚɛɚɦɵɡ.
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