{"id":1308,"date":"2023-07-26T22:13:41","date_gmt":"2023-07-26T22:13:41","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d1%81%d1%82%d0%b0%d0%bd%d0%b4%d0%b0%d1%80%d1%82%d0%b8%d0%b7%d0%be%d0%b2%d0%b0%d0%bd%d1%96-%d0%b7%d0%b0%d0%bb%d0%b8%d1%88%d0%ba%d0%b8-python\/"},"modified":"2023-07-26T22:13:41","modified_gmt":"2023-07-26T22:13:41","slug":"%d1%81%d1%82%d0%b0%d0%bd%d0%b4%d0%b0%d1%80%d1%82%d0%b8%d0%b7%d0%be%d0%b2%d0%b0%d0%bd%d1%96-%d0%b7%d0%b0%d0%bb%d0%b8%d1%88%d0%ba%d0%b8-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d1%81%d1%82%d0%b0%d0%bd%d0%b4%d0%b0%d1%80%d1%82%d0%b8%d0%b7%d0%be%d0%b2%d0%b0%d0%bd%d1%96-%d0%b7%d0%b0%d0%bb%d0%b8%d1%88%d0%ba%d0%b8-python\/","title":{"rendered":"\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0417\u0430\u043b\u0438\u0448\u043e\u043a<\/strong> \u2014 \u0446\u0435 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0443\u0432\u0430\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u0456 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u0443 <a href=\"https:\/\/statorials.org\/uk\/\u043b\u0456\u043d\u0456\u0438\u043d\u0430-\u0440\u0435\u0433\u0440\u0435\u0441\u0456\u044f-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u0456\u0439 \u043c\u043e\u0434\u0435\u043b\u0456<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u0456\u043d \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0417\u0430\u043b\u0438\u0448\u043e\u043a = \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0443\u0432\u0430\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u2013 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u042f\u043a\u0449\u043e \u043c\u0438 \u043f\u043e\u0431\u0443\u0434\u0443\u0454\u043c\u043e \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0443\u0432\u0430\u043d\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0430 \u043d\u0430\u043a\u043b\u0430\u0434\u0435\u043c\u043e \u043f\u0456\u0434\u0456\u0431\u0440\u0430\u043d\u0443 \u043b\u0456\u043d\u0456\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457, \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0434\u043b\u044f \u043a\u043e\u0436\u043d\u043e\u0433\u043e <a href=\"https:\/\/statorials.org\/uk\/\u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f-\u0432-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456\/\" target=\"_blank\" rel=\"noopener\">\u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f<\/a> \u0431\u0443\u0434\u0443\u0442\u044c \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u044e \u0432\u0456\u0434\u0441\u0442\u0430\u043d\u043d\u044e \u043c\u0456\u0436 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f\u043c \u0456 \u043b\u0456\u043d\u0456\u0454\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12422 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus1-1.png\" alt=\"\u041f\u0440\u0438\u043a\u043b\u0430\u0434 \u0437\u0430\u043b\u0438\u0448\u043a\u0443 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456\" width=\"487\" height=\"382\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0434\u0438\u043d \u0442\u0438\u043f \u0437\u0430\u043b\u0438\u0448\u043a\u0443, \u044f\u043a\u0438\u0439 \u043c\u0438 \u0447\u0430\u0441\u0442\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u043c\u043e \u0434\u043b\u044f \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u043a\u0438\u0434\u0456\u0432 \u0443 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u0456\u0439 \u043c\u043e\u0434\u0435\u043b\u0456, \u043d\u0430\u0437\u0438\u0432\u0430\u0454\u0442\u044c\u0441\u044f <strong>\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u043c \u0437\u0430\u043b\u0438\u0448\u043a\u043e\u043c<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u0456\u043d \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>r <sub>i<\/sub> = e <sub>i<\/sub> \/ s(e <sub>i<\/sub> )<\/strong> = <strong>e <sub>i<\/sub> \/ RSE\u221a <span style=\"border-top: 1px solid black;\">1-h <sub>ii<\/sub><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0437\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> :<\/strong> i- <sup>\u0439<\/sup> \u0437\u0430\u043b\u0438\u0448\u043e\u043a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RSE:<\/strong> \u0437\u0430\u043b\u0438\u0448\u043a\u043e\u0432\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0430 \u043f\u043e\u043c\u0438\u043b\u043a\u0430 \u043c\u043e\u0434\u0435\u043b\u0456<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>ii<\/sub><\/strong> : \u0417\u0440\u043e\u0441\u0442\u0430\u043d\u043d\u044f <sup>i-\u0433\u043e<\/sup> \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u041d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0446\u0456 \u043c\u0438 \u0447\u0430\u0441\u0442\u043e \u0440\u043e\u0437\u0433\u043b\u044f\u0434\u0430\u0454\u043c\u043e \u0431\u0443\u0434\u044c-\u044f\u043a\u0438\u0439 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0437\u0430\u043b\u0438\u0448\u043e\u043a, \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u044f\u043a\u043e\u0433\u043e \u043f\u0435\u0440\u0435\u0432\u0438\u0449\u0443\u0454 3, \u044f\u043a \u0432\u0438\u043a\u0438\u0434.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a\u0443 \u043d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u043f\u043e\u043a\u0440\u043e\u043a\u043e\u0432\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0437\u0430\u043b\u0438\u0448\u043a\u0456\u0432 \u0443 Python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 1: \u0412\u0432\u0435\u0434\u0456\u0442\u044c \u0434\u0430\u043d\u0456<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0421\u043f\u043e\u0447\u0430\u0442\u043a\u0443 \u043c\u0438 \u0441\u0442\u0432\u043e\u0440\u0438\u043c\u043e \u043d\u0435\u0432\u0435\u043b\u0438\u043a\u0438\u0439 \u043d\u0430\u0431\u0456\u0440 \u0434\u0430\u043d\u0438\u0445 \u0434\u043b\u044f \u0440\u043e\u0431\u043e\u0442\u0438 \u0432 Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #008000;\">x<\/span> ': [8, 12, 12, 13, 14, 16, 17, 22, 24, 26, 29, 30],\n                   ' <span style=\"color: #008000;\">y<\/span> ': [41, 42, 39, 37, 35, 39, 45, 46, 39, 49, 55, 57]})\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 2. \u041f\u0456\u0434\u0431\u0435\u0440\u0456\u0442\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u0443 \u043c\u043e\u0434\u0435\u043b\u044c<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0456 \u043c\u0438 \u043f\u0456\u0434\u0431\u0435\u0440\u0435\u043c\u043e <a href=\"https:\/\/statorials.org\/uk\/\u043f\u0440\u043e\u0441\u0442\u0430-\u043b\u0456\u043d\u0456\u0438\u043d\u0430-\u0440\u0435\u0433\u0440\u0435\u0441\u0456\u044f-\u0432-python\/\" target=\"_blank\" rel=\"noopener\">\u043f\u0440\u043e\u0441\u0442\u0443 \u043c\u043e\u0434\u0435\u043b\u044c \u043b\u0456\u043d\u0456\u0439\u043d\u043e\u0457 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457<\/a> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define response variable\n<\/span>y = df[' <span style=\"color: #008000;\">y<\/span> ']\n\n<span style=\"color: #008080;\">#define explanatory variable\n<\/span>x = df[' <span style=\"color: #008000;\">x<\/span> ']\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()<\/strong><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 3: \u041e\u0431\u0447\u0438\u0441\u043b\u0456\u0442\u044c \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0456 \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0454\u043c\u043e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u043c\u043e\u0434\u0435\u043b\u0456:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create instance of influence\n<\/span>influence = model. <span style=\"color: #3366ff;\">get_influence<\/span> ()\n\n<span style=\"color: #008080;\">#obtain standardized residuals\n<\/span>standardized_residuals = influence. <span style=\"color: #3366ff;\">reside_studentized_internal<\/span>\n\n<span style=\"color: #008080;\">#display standardized residuals\n<\/span><span style=\"color: #993300;\">print<\/span> (standardized_residuals)\n\n[ 1.40517322 0.81017562 0.07491009 -0.59323342 -1.2482053 -0.64248883\n  0.59610905 -0.05876884 -2.11711982 -0.066556 0.91057211 1.26973888]<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0417 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456\u0432 \u043c\u0438 \u0431\u0430\u0447\u0438\u043c\u043e, \u0449\u043e \u0436\u043e\u0434\u0435\u043d \u0456\u0437 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0437\u0430\u043b\u0438\u0448\u043a\u0456\u0432 \u043d\u0435 \u043f\u0435\u0440\u0435\u0432\u0438\u0449\u0443\u0454 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 3. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0436\u043e\u0434\u043d\u0435 \u0437\u0456 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u044c \u043d\u0435 \u0432\u0438\u0433\u043b\u044f\u0434\u0430\u0454 \u0432\u0438\u043a\u0438\u0434\u043e\u043c.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 4: \u0412\u0456\u0437\u0443\u0430\u043b\u0456\u0437\u0443\u0439\u0442\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u0440\u0435\u0448\u0442\u0456, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0441\u0442\u0432\u043e\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u0433\u0440\u0430\u043c\u0443 \u0440\u043e\u0437\u0441\u0456\u044e\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0456\u0437\u0443\u0430\u043b\u0456\u0437\u0430\u0446\u0456\u0457 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0437\u043c\u0456\u043d\u043d\u043e\u0457 \u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430 \u043f\u0440\u043e\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0445 \u0437\u0430\u043b\u0438\u0448\u043a\u0456\u0432:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df.x, standardized_residuals)\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #008000;\">x<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #008000;\">Standardized Residuals<\/span> ')\nplt. <span style=\"color: #3366ff;\">axhline<\/span> (y=0, color=' <span style=\"color: #008000;\">black<\/span> ', linestyle=' <span style=\"color: #008000;\">--<\/span> ', linewidth=1)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u0414\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0456 \u0440\u0435\u0441\u0443\u0440\u0441\u0438<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/uk\/\u0437\u0430\u043b\u0438\u0448\u043e\u043a\/\" target=\"_blank\" rel=\"noopener\">\u0429\u043e \u0442\u0430\u043a\u0435 \u0437\u0430\u043b\u0438\u0448\u043a\u0438?<\/a><br \/> <a href=\"https:\/\/statorials.org\/uk\/\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456-\u0437\u0430\u043b\u0438\u0448\u043a\u0438\/\">\u0429\u043e \u0442\u0430\u043a\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438?<\/a><br \/> <a href=\"https:\/\/statorials.org\/uk\/\u0437\u0430\u043b\u0438\u0448\u043a\u0438,-\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456-\u0432-r\/\" target=\"_blank\" rel=\"noopener\">\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0432 R<\/a><br \/> <a href=\"https:\/\/statorials.org\/uk\/\u043d\u043e\u0440\u043c\u0430\u043b\u0456\u0437\u043e\u0432\u0430\u043d\u0456-\u0437\u0430\u043b\u0438\u0448\u043a\u0438-excel\/\" target=\"_blank\" rel=\"noopener\">\u042f\u043a \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0432 Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0430\u043b\u0438\u0448\u043e\u043a \u2014 \u0446\u0435 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0443\u0432\u0430\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u0456 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u0443 \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u0456\u0439 \u043c\u043e\u0434\u0435\u043b\u0456 . \u0412\u0456\u043d \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c: \u0417\u0430\u043b\u0438\u0448\u043e\u043a = \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0443\u0432\u0430\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u2013 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u043e\u0432\u0430\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u042f\u043a\u0449\u043e \u043c\u0438 \u043f\u043e\u0431\u0443\u0434\u0443\u0454\u043c\u043e \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0443\u0432\u0430\u043d\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0430 \u043d\u0430\u043a\u043b\u0430\u0434\u0435\u043c\u043e \u043f\u0456\u0434\u0456\u0431\u0440\u0430\u043d\u0443 \u043b\u0456\u043d\u0456\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457, \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0434\u043b\u044f \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f \u0431\u0443\u0434\u0443\u0442\u044c \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u044e \u0432\u0456\u0434\u0441\u0442\u0430\u043d\u043d\u044e \u043c\u0456\u0436 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f\u043c \u0456 \u043b\u0456\u043d\u0456\u0454\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0457: \u041e\u0434\u0438\u043d \u0442\u0438\u043f \u0437\u0430\u043b\u0438\u0448\u043a\u0443, \u044f\u043a\u0438\u0439 \u043c\u0438 \u0447\u0430\u0441\u0442\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u043c\u043e \u0434\u043b\u044f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0432 Python<\/title>\n<meta name=\"description\" content=\"\u0426\u0435\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454, \u044f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0432 Python, \u043d\u0430 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/uk\/\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456-\u0437\u0430\u043b\u0438\u0448\u043a\u0438-python\/\" \/>\n<meta property=\"og:locale\" content=\"uk_UA\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0456 \u0437\u0430\u043b\u0438\u0448\u043a\u0438 \u0432 Python\" \/>\n<meta property=\"og:description\" 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