Page 266 - index

ɇԛɤɬɟɥɟɪɞɿԙ ɠɵɥɞɚɦɞɵԕɬɚɪɵ ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɚɥɚɪɞɵԙ ɠԥɧɟ
ɠɚɥɩɵɥɚɧԑɚɧ ɠɵɥɞɚɦɞɵԕɬɚɪɞɵԙ ɮɭɧɤɰɢɹɥɚɪɵ ɛɨɥԑɚɧɞɵԕɬɚɧ, ɠԛɣɟɧɿԙ
ɤɢɧɟɬɢɤɚɥɵԕ ɷɧɟɪɝɢɹɫɵ ɞɚ ɨɫɵɥɚɪɞɵԙ ɮɭɧɤɰɢɹɫɵ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ, ɹԑɧɢ

¦T 1 n ms o xx x
2 s1 T (q1, q2 ,..., qk ; q1, q2 ..., qk ) .
vs2

ȿɧɞɿ wT ɠԥɧɟ d ¨§ wT ¸· ɲɚɦɚɥɚɪɵɧ ɬɚɛɚɣɵԕ:
wq j dt ¨¨© ¹¸¸
w x

qj

oo
n wT w vs n w vs
¦ ¦wT s1 ms o wq j ,

wq j vs
o wq j
s
1 w vs

oo
n wT w vs n w vs

ox x
¦ ¦wT o ,
x
w q j s 1 w vs w q j s 1 ms vs wqj

d ¨§ wT ¸· ¦d ª n ms o ˜ o º ¦ ¦n o ˜ wv s no ˜ d ¨§ w o ¸· .
¨¨© ¸¸¹ « s1 » ms dt ©¨¨ w ¸¹¸
dt x dt « vs w vs » w vs x ms vs vs
«¬ ¼» s1 wt
w q j x wqj s1 x

wqj qj

ɀɨԑɚɪɵɞɚԑɵ 159-ɬɟΝɞɿɤɬɿΝ ɟɤɿ ɠɚԑɵɧɚɧ ɠɚɥɩɵɥɚɧԑɚɧ ɠɵɥɞɚɦɞɵԕ
ɛɨɣɵɧɲɚ ɞɟɪɛɟɫ ɬɭɵɧɞɵ ɚɥɚɦɵɡ:

oo
w vs w r s .
x wq j

wqj

ɋɨɧɞɵԕɬɚɧ:

d ¨§ o ·¸ d ¨§ w o ¸· w2 o x w2 o x w 2 o x
wq
¨¨© w vs ¸¹¸ rs rs q1 rs q2 ... rs qk , ɞɟɦɟɤ:
dt ¨¨© wq j ¸¸¹
dt w x wq j wq1 wq j wq2 j wqk

qj

d ¨§ o ¸· o
©¨¨ ¹¸¸
w vs wvs .
wq j
dt x

wqj

Ɉɫɵԑɚɧ ɛɚɣɥɚɧɵɫɬɵ:

§¨ ¸· o o §¨ o ¸· o o
d ¨¨© wT ¹¸¸ wT ¦ ¦ ¦n n d ¨¨© ¸ n wv ¦n wvs
dt ms wvs wvs o dt w vs x wq s o
x x wt wq j ms ˜ w ms ˜ j ms x
s1 vs x vs ɚs ˜
wqj wqj s1 ¸¹ s 1 s 1 wqj
qj

,

( j 1,2,..., k) .

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