{"id":12485,"date":"2009-04-15T09:48:33","date_gmt":"2009-04-15T06:48:33","guid":{"rendered":"http:\/\/studentpmr.ru\/?p=12485"},"modified":"2009-04-15T09:48:33","modified_gmt":"2009-04-15T06:48:33","slug":"%d0%bf%d0%bb%d0%b0%d0%bd%d0%b8%d1%80%d0%be%d0%b2%d0%b0%d0%bd%d0%b8%d0%b5-%d0%b2%d1%82%d0%be%d1%80%d0%be%d0%b3%d0%be-%d0%bf%d0%be%d1%80%d1%8f%d0%b4%d0%ba%d0%b0","status":"publish","type":"post","link":"https:\/\/studentpmr.ru\/?p=12485","title":{"rendered":"\u041f\u043b\u0430\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430"},"content":{"rendered":"

\u0414\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 — \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u2013 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043a\u0430\u043a \u043c\u0438\u043d\u0438\u043c\u0443\u043c \u0442\u0440\u0438 \u0442\u043e\u0447\u043a\u0438. \u0414\u0432\u0435 \u0443 \u043d\u0430\u0441 \u0443\u0436\u0435 \u0435\u0441\u0442\u044c: \u20131 \u0438 +1. <\/p>\n

\"\u0441\u0445\u0435\u043c\u0430\"<\/a><\/p>\n

<\/p>\n

\u041c\u044b \u0438\u0449\u0435\u043c \u043c\u043e\u0434\u0435\u043b\u044c: <\/p>\n

\"clip_image004\"<\/a>=b0 <\/sub>+ b1<\/sub>x1 <\/sub>+ b2<\/sub>x2 <\/sub>+ b12<\/sub>x1<\/sub>x2<\/sub> + b11<\/sub>x1<\/sub>2<\/sup> + b22<\/sub>x2<\/sub>2<\/sup><\/p>\n

\u041f\u043e \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c \u043a\u0443\u0431\u0430 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c, \u043e\u043d\u0430 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0430, \u0434\u043b\u044f \u0432\u0441\u0435\u0445 \u0430),\u0431),\u0432). \u041d\u043e \u0435\u0441\u043b\u0438 \u043f\u043e\u0441\u0442\u0430\u0432\u0438\u043c \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442 \u0432 \u0446\u0435\u043d\u0442\u0440\u0435, \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f: \u201c5\u201d, \u201c0\u201d, \u201c-5\u201d. \u042d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442 \u0432 \u0446\u0435\u043d\u0442\u0440\u0435 \u044f\u0432\u043d\u043e \u0434\u0430\u0435\u0442 \u043f\u043e\u043d\u044f\u0442\u044c, \u0447\u0442\u043e \u0443 \u043d\u0430\u0441 \u043a\u0440\u0438\u0432\u043e\u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c \u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0435\u0435 \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u041f\u0424\u042d \u043d\u0435\u043b\u044c\u0437\u044f.<\/p>\n

\u0430). b12 <\/sub>< 0 \u0442.\u043a. \u043f\u0440\u0438 \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u0438\u0438 x1 , <\/sub>x2<\/sub> \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f.<\/p>\n

\u0431). b12 =<\/sub> 0 .<\/p>\n

\u0432). b12 <\/sub>> 0 \u0442.\u043a. \u043f\u0440\u0438 \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u0438\u0438 x1 , <\/sub>x2<\/sub> \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f.<\/p>\n

1). \u0411\u0435\u0440\u0435\u043c \u0442\u0440\u0435\u0442\u044c\u044e \u0442\u043e\u0447\u043a\u0443 \u0432 \u0446\u0435\u043d\u0442\u0440\u0435.<\/p>\n

2). \u041b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f — \u044d\u0442\u043e \u043b\u0438\u043d\u0438\u0438 \u0443\u0440\u043e\u0432\u043d\u0435\u0439 \u043e\u0448\u0438\u0431\u043e\u043a. \u0412 \u041f\u0424\u042d \u0432\u0441\u0435 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b, \u0430 \u0442\u0443\u0442 \u043d\u0435 \u0442\u0430\u043a.<\/p>\n

\u201c+\u201d \u043d\u0435 \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043a\u0430\u0442\u044c \u043d\u043e\u0432\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u2013 \u044d\u0442\u043e \u0446\u0435\u043d\u0442\u0440;<\/p>\n

\u201c-\u201d \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442\u0441\u044f \u0440\u043e\u0442\u043e\u0442\u0430\u0431\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u0435\u0441\u043b\u0438 \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u0446\u0435\u043d\u0442\u0440.<\/p>\n

\"\u041f\u043b\u0430\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435<\/a><\/p>\n

Y = a + bx + cx2<\/sup><\/p>\n

a = y2<\/sub> \u2013 y1<\/sub>; b = ? (y3<\/sub> \u2013 y1<\/sub>); c = (y2<\/sub> \u2013 y1<\/sub>)- ? (y3<\/sub> \u2013 y1<\/sub>) = ? (y \u2013 2y +y);<\/p>\n

a => (-1;1;0)<\/p>\n

b => (-1;0;1)<\/p>\n

c => (1;-2;1)<\/p>\n

\u044d\u0442\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0434\u0430\u0435\u0442 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u043f\u043b\u0430\u043d \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0430. <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

g<\/p>\n<\/td>\n

\n

X1<\/sub><\/p>\n<\/td>\n

\n

X2<\/sub><\/p>\n<\/td>\n

\n

Yg<\/sub><\/p>\n<\/td>\n

\n

b0<\/sub><\/p>\n<\/td>\n

\n

b1<\/sub><\/p>\n<\/td>\n

\n

b2<\/sub><\/p>\n<\/td>\n

\n

b12<\/sub><\/p>\n<\/td>\n

\n

b11<\/sub><\/p>\n<\/td>\n

\n

b22<\/sub><\/p>\n<\/td>\n<\/tr>\n

\n

1<\/p>\n<\/td>\n

\n

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\n

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\n

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3<\/p>\n<\/td>\n

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Y3<\/sub><\/p>\n<\/td>\n

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4<\/p>\n<\/td>\n

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\n

5<\/p>\n<\/td>\n

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Y5<\/sub><\/p>\n<\/td>\n

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6<\/p>\n<\/td>\n

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\n

7<\/p>\n<\/td>\n

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Y8<\/sub><\/p>\n<\/td>\n

\n

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\n

9<\/p>\n<\/td>\n

\n

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\n

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Y9<\/sub><\/p>\n<\/td>\n

\n

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\n

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<\/td>\n\n

Zgk<\/sub>2<\/sup><\/p>\n<\/td>\n

\n

9<\/p>\n<\/td>\n

\n

6<\/p>\n<\/td>\n

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6<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n

\n

18<\/p>\n<\/td>\n

\n

18<\/p>\n<\/td>\n<\/tr>\n

<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u0423\u0442\u0440\u043e\u0435\u043d\u0438\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432 \u0432 \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043a\u043e\u043b\u043e\u043d\u043a\u0435. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f bk<\/sub> \u0432\u0440\u043e\u0434\u0435 \u0431\u044b \u043d\u0435 \u0438\u0437\u043c\u0435\u043d\u0438\u043b\u0430\u0441\u044c, \u043d\u043e \u0434\u043b\u044f b1 <\/sub>\u2013 \u0432\u0441\u0435 \u0432\u0438\u0434\u043d\u043e \u0443 \u043d\u0430\u0441 0 \u0432 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c N \u043d\u0435 \u0433\u043e\u0434\u0438\u0442\u044c\u0441\u044f \u0438 \u0432\u043c\u0435\u0441\u0442\u043e \u043d\u0435\u0433\u043e \"clip_image008\"<\/a>. \u0411\u044b\u043b\u043e \"clip_image010\"<\/a>, \u0441\u0442\u0430\u043b\u043e \"clip_image012\"<\/a>.<\/p>\n

\u041a\u0432\u0430\u0434\u0440\u0430\u0442\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432 b11 <\/sub>\u0438 b22 <\/sub>\u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f \u043a c => (1;-2;1).<\/p>\n

\u0423 \u043d\u0430\u0441 \u043f\u043e\u043a\u0430 6 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 bk<\/sub>, \u0430 \u043f\u043e max \u043c\u043e\u0436\u0435\u043c \u0432\u0437\u044f\u0442\u044c 9. \u042d\u0442\u0438 3 \u0441\u0442\u043e\u043b\u0431\u0446\u0430 \u043c\u043e\u0436\u043d\u043e \u043d\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c, \u0430 \u043c\u043e\u0436\u043d\u043e \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u0438\u0437 \u043d\u0438\u0445 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e.<\/p>\n

N=3n<\/sup> \u2013 \u0440\u0435\u0437\u043a\u043e\u0435 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u0435 \u0447\u0438\u0441\u043b\u0430 \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u043e\u0432. \u0414\u043b\u044f 2-\u0445, 3-\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c, \u043d\u043e \u0434\u0430\u043b\u044c\u0448\u0435 \u043b\u0443\u0447\u0448\u0435 \u043d\u0435 \u043b\u0435\u0437\u0442\u044c. \u041f\u043e\u043b\u0443 \u0440\u0435\u043f\u043b\u0438\u043a\u0438 (\u0442\u043e\u0447\u043d\u0435\u0435 1\/3 \u0440\u0435\u043f\u043b\u0438\u043a\u0438) \u0442\u0443\u0442 \u043d\u0435 \u0442\u0430\u043a \u0445\u043e\u0440\u043e\u0448\u043e \u0440\u0430\u0431\u043e\u0442\u0430\u044e\u0442.<\/p>\n","protected":false},"excerpt":{"rendered":"

\u0414\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 — \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u2013 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043a\u0430\u043a \u043c\u0438\u043d\u0438\u043c\u0443\u043c \u0442\u0440\u0438 \u0442\u043e\u0447\u043a\u0438. \u0414\u0432\u0435 \u0443 \u043d\u0430\u0441 \u0443\u0436\u0435 \u0435\u0441\u0442\u044c: \u20131 \u0438 +1.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21],"tags":[],"_links":{"self":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/posts\/12485"}],"collection":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12485"}],"version-history":[{"count":0,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/posts\/12485\/revisions"}],"wp:attachment":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}