{"id":2284,"date":"2023-07-22T22:31:29","date_gmt":"2023-07-22T22:31:29","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d1%80%d0%b5%d1%88%d0%b8%d1%82%d1%8c-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc%d1%83-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d0%bd%d0%b0-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5\/"},"modified":"2023-07-22T22:31:29","modified_gmt":"2023-07-22T22:31:29","slug":"%d1%80%d0%b5%d1%88%d0%b8%d1%82%d1%8c-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc%d1%83-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d0%bd%d0%b0-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d1%80%d0%b5%d1%88%d0%b8%d1%82%d1%8c-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc%d1%83-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d0%bd%d0%b0-%d0%bf%d0%b8%d1%82%d0%be%d0%bd%d0%b5\/","title":{"rendered":"\u041a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 python (3 \u043f\u0440\u0438\u043c\u0435\u0440\u0430)"},"content":{"rendered":"

<\/p>\n

\n

\u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 Python \u043c\u043e\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438\u0437 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0438 NumPy<\/a> .<\/span><\/p>\n

\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c NumPy \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432 Python.<\/span><\/p>\n

\u041f\u0440\u0438\u043c\u0435\u0440 1. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438<\/strong><\/span><\/h3>\n

\u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f x \u0438 y:<\/span><\/p>\n

5x + 4 \u0433\u043e\u0434\u0430 = 35<\/span><\/p>\n

2x + 6 \u043b\u0435\u0442 = 36<\/span><\/p>\n

\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c NumPy \u0434\u043b\u044f \u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 x \u0438 y:<\/span><\/p>\n

 import<\/span> numpy as<\/span> np\n\n#define left-hand side of equation\n<\/span>left_side = np. array<\/span> ([[5, 4], [2, 6]])\n\n#define right-hand side of equation\n<\/span>right_side = np. array<\/span> ([35, 36])\n\n#solve for x and y\n<\/span>n.p. linalg<\/span> . inv<\/span> (left_side). dot<\/span> (right_side)\n\narray([3., 5.])\n<\/strong><\/pre>\n
 \u042d\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043d\u0430\u043c, \u0447\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 x \u0440\u0430\u0432\u043d\u043e 3<\/strong> , \u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 y \u0440\u0430\u0432\u043d\u043e 5<\/strong> .<\/span><\/p>\n
 \u041f\u0440\u0438\u043c\u0435\u0440 2. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0442\u0440\u0435\u043c\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438<\/strong><\/span><\/h3>\n
 \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f x, y \u0438 z:<\/span><\/p>\n
 4x + 2y + 1z = 34<\/span><\/p>\n
 3x + 5 \u043b\u0435\u0442 \u2013 2z = 41<\/span><\/p>\n
 2\u0445 + 2\u0430 + 4\u0437 = 30<\/span><\/p>\n
 \u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c NumPy \u0434\u043b\u044f \u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 x, y \u0438 z:<\/span><\/p>\n
 import<\/span> numpy as<\/span> np\n\n#define left-hand side of equation\n<\/span>left_side = np. array<\/span> ([[4, 2, 1], [3, 5, -2], [2, 2, 4]])\n\n#define right-hand side of equation\n<\/span>right_side = np. array<\/span> ([34, 41, 30])\n\n#solve for x, y, and z\n<\/span>n.p. linalg<\/span> . inv<\/span> (left_side). dot<\/span> (right_side)\n\narray([5., 6., 2.])\n<\/strong><\/pre>\n
 \u042d\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043d\u0430\u043c, \u0447\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 x \u0440\u0430\u0432\u043d\u043e 5<\/strong> , \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 y \u0440\u0430\u0432\u043d\u043e 6<\/strong> , \u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 z \u0440\u0430\u0432\u043d\u043e 2<\/strong> .<\/span><\/p>\n
 \u041f\u0440\u0438\u043c\u0435\u0440 3: \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0447\u0435\u0442\u044b\u0440\u044c\u043c\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438<\/strong><\/span><\/h3>\n
 \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f w, x, y \u0438 z:<\/span><\/p>\n
 6\u0436 + 2\u0445 + 2\u0443 + 1\u0437 = 37<\/span><\/p>\n
 2w + 1x + 1y + 0z = 14<\/span><\/p>\n
 3\u0441 + 2\u0445 + 2\u0430 + 4\u0437 = 28<\/span><\/p>\n
 2w + 0x + 5y + 5z = 28<\/span><\/p>\n
 \u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c NumPy \u0434\u043b\u044f \u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 w, x, y \u0438 z:<\/span><\/p>\n
 import<\/span> numpy as<\/span> np<\/span>\n\n#define left-hand side of equation\n<\/span>left_side = np. array<\/span> ([[6, 2, 2, 1], [2, 1, 1, 0], [3, 2, 2, 4], [2, 0, 5, 5]])\n\n#define right-hand side of equation\n<\/span>right_side = np. array<\/span> ([37, 14, 28, 28])\n\n#solve for w, x, y, and z\n<\/span>n.p. linalg<\/span> . inv<\/span> (left_side). dot<\/span> (right_side)\n \narray([4., 3., 3., 1.])\n<\/strong><\/pre>\n
 \u042d\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043d\u0430\u043c, \u0447\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 w \u0440\u0430\u0432\u043d\u043e 4<\/strong> , x \u0440\u0430\u0432\u043d\u043e 3<\/strong> , y \u0440\u0430\u0432\u043d\u043e 3<\/strong> \u0438 z \u0440\u0430\u0432\u043d\u043e 1<\/strong> .<\/span><\/p>\n
 \u0414\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0435\u0441\u0443\u0440\u0441\u044b<\/strong><\/span><\/h3>\n
 \u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0430\u0445 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u043d\u043e\u0433\u043e \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0435\u043d\u0438\u044f:<\/span><\/p>\n
 \u041a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432 R<\/a>
 \u041a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432 Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 Python \u043c\u043e\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438\u0437 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0438 NumPy . \u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c NumPy \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432 Python. \u041f\u0440\u0438\u043c\u0435\u0440 1. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f x \u0438 y: 5x + 4 \u0433\u043e\u0434\u0430 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2284","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"\n\u041a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 Python (3 \u043f\u0440\u0438\u043c\u0435\u0440\u0430) - Statorials<\/title>\n<meta name=\"description\" content=\"\u0412 \u044d\u0442\u043e\u043c \u0443\u0440\u043e\u043a\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432 Python, \u0441 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c\u0438 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