{"id":1752,"date":"2023-07-25T02:56:10","date_gmt":"2023-07-25T02:56:10","guid":{"rendered":"https:\/\/statorials.org\/uk\/antilog-%d1%83-python\/"},"modified":"2023-07-25T02:56:10","modified_gmt":"2023-07-25T02:56:10","slug":"antilog-%d1%83-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/antilog-%d1%83-python\/","title":{"rendered":"\u042f\u043a \u0437\u043d\u0430\u0439\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433 \u0446\u0456\u043d\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0410\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c<\/strong> \u0447\u0438\u0441\u043b\u0430 \u0454 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u043e\u044e, \u0437\u0432\u043e\u0440\u043e\u0442\u043d\u043e\u044e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0443 \u0447\u0438\u0441\u043b\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0442\u0436\u0435, \u044f\u043a\u0449\u043e \u0432\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u0435 \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0447\u0438\u0441\u043b\u0430, \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0434\u043b\u044f \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f \u0432\u0438\u0445\u0456\u0434\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u043f\u0440\u0438\u043f\u0443\u0441\u0442\u0456\u043c\u043e, \u0449\u043e \u043c\u0438 \u043f\u043e\u0447\u0438\u043d\u0430\u0454\u043c\u043e \u0437 \u0447\u0438\u0441\u043b\u0430 7. \u042f\u043a\u0449\u043e \u043c\u0438 \u0432\u0456\u0437\u044c\u043c\u0435\u043c\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c (\u0437\u0430 \u043e\u0441\u043d\u043e\u0432\u043e\u044e 10) 7, \u043c\u0438 \u043e\u0442\u0440\u0438\u043c\u0430\u0454\u043c\u043e 0,845:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>log10<\/sub> (7) = <strong>0,845<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0410\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c (\u043e\u0441\u043d\u043e\u0432\u0430 10) \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 0,845 \u043c\u043e\u0436\u043d\u0430 \u0437\u043d\u0430\u0439\u0442\u0438, \u044f\u043a\u0449\u043e \u0432\u0437\u044f\u0442\u0438 10 \u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0456 0,845:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sup>10845<\/sup> = <strong>7<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0410\u043d\u0442\u0438\u043b\u043e\u0433 \u0434\u043e\u0437\u0432\u043e\u043b\u0438\u0432 \u043d\u0430\u043c \u0437\u043d\u0430\u0439\u0442\u0438 \u0432\u0438\u0445\u0456\u0434\u043d\u0435 \u0447\u0438\u0441\u043b\u043e.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0423 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0456\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u044f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0443 Python \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0457\u0445 \u0431\u0430\u0437\u0438:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0411\u0430\u0437\u0430<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u041d\u043e\u043c\u0435\u0440<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0437\u0431\u0435\u0440\u0435\u0433\u0442\u0438<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0410\u043d\u0442\u0438\u043b\u043e\u0433<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u0434<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">np.log(x)<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">np.exp(x)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u0434\u0435\u0441\u044f\u0442\u044c<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">np.log10(x)<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">10 **\u0445<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0456 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u043f\u043e\u043a\u0430\u0437\u0443\u044e\u0442\u044c, \u044f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0443 Python, \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0447\u0438 \u0440\u0456\u0437\u043d\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u043e\u0441\u043d\u043e\u0432\u0438.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043a\u043b\u0430\u0434 1: \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0430 \u043e\u0441\u043d\u043e\u0432\u0438 10<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u041f\u0440\u0438\u043f\u0443\u0441\u0442\u0438\u043c\u043e, \u043c\u0438 \u0431\u0435\u0440\u0435\u043c\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c (\u0437\u0430 \u043e\u0441\u043d\u043e\u0432\u043e\u044e 10) \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 7:<\/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> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n\n#define original value<\/span>\noriginal = 7\n\n<span style=\"color: #008080;\">#take log (base 10) of original value<\/span>\nlog_original = np. <span style=\"color: #3366ff;\">log10<\/span> (original)\n\n<span style=\"color: #008080;\">#display log (base 10) of original value<\/span>\nlog_original\n\n0.845098\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0429\u043e\u0431 \u0437\u043d\u0430\u0439\u0442\u0438 \u043f\u043e\u0447\u0430\u0442\u043a\u043e\u0432\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 7, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0437\u044f\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c, \u043f\u0456\u0434\u043d\u044f\u0432\u0448\u0438 10 \u0434\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044f 0,845098:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#take the antilog\n<\/span>10 <span style=\"color: #800080;\">**<\/span> log_original\n\n7.0\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0412\u0437\u044f\u0432\u0448\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c, \u043c\u0438 \u0437\u043c\u043e\u0433\u043b\u0438 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043f\u043e\u0447\u0430\u0442\u043a\u043e\u0432\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 7.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043a\u043b\u0430\u0434 2: \u0420\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043e\u043a \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0443 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0443<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u041f\u0440\u0438\u043f\u0443\u0441\u0442\u0438\u043c\u043e, \u043c\u0438 \u0431\u0435\u0440\u0435\u043c\u043e \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u0438\u0439 \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 7:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define original value<\/span>\noriginal = 7\n\n<span style=\"color: #008080;\">#take natural log of original value<\/span>\nlog_original = np. <span style=\"color: #3366ff;\">log<\/span> (original)\n\n<span style=\"color: #008080;\">#display natural log of original value<\/span>\nlog_original\n\n[1] 1.94591\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0429\u043e\u0431 \u0437\u043d\u0430\u0439\u0442\u0438 \u043f\u043e\u0447\u0430\u0442\u043a\u043e\u0432\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 7, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0437\u044f\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c, \u043f\u0456\u0434\u043d\u044f\u0432\u0448\u0438 <em>e<\/em> \u0434\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044f 1,94591:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#take the antilog\n<\/span>n.p. <span style=\"color: #3366ff;\">exp<\/span> (log_original)\n\n7.0\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0412\u0437\u044f\u0432\u0448\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c, \u043c\u0438 \u0437\u043c\u043e\u0433\u043b\u0438 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u043f\u043e\u0447\u0430\u0442\u043a\u043e\u0432\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 7.<\/span><\/p>\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\/log-log-plot-python\/\" target=\"_blank\" rel=\"noopener\">\u042f\u043a \u0441\u0442\u0432\u043e\u0440\u0438\u0442\u0438 \u0433\u0440\u0430\u0444\u0456\u043a \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u0432 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/uk\/box-cox-transformation-python\/\" target=\"_blank\" rel=\"noopener\">\u042f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0442\u0432\u043e\u0440\u0435\u043d\u043d\u044f \u0411\u043e\u043a\u0441\u0430-\u041a\u043e\u043a\u0441\u0430 \u0432 Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0410\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0447\u0438\u0441\u043b\u0430 \u0454 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u043e\u044e, \u0437\u0432\u043e\u0440\u043e\u0442\u043d\u043e\u044e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0443 \u0447\u0438\u0441\u043b\u0430. \u041e\u0442\u0436\u0435, \u044f\u043a\u0449\u043e \u0432\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u0435 \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0447\u0438\u0441\u043b\u0430, \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0430\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0434\u043b\u044f \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f \u0432\u0438\u0445\u0456\u0434\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430. \u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u043f\u0440\u0438\u043f\u0443\u0441\u0442\u0456\u043c\u043e, \u0449\u043e \u043c\u0438 \u043f\u043e\u0447\u0438\u043d\u0430\u0454\u043c\u043e \u0437 \u0447\u0438\u0441\u043b\u0430 7. \u042f\u043a\u0449\u043e \u043c\u0438 \u0432\u0456\u0437\u044c\u043c\u0435\u043c\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c (\u0437\u0430 \u043e\u0441\u043d\u043e\u0432\u043e\u044e 10) 7, \u043c\u0438 \u043e\u0442\u0440\u0438\u043c\u0430\u0454\u043c\u043e 0,845: log10 (7) = 0,845 \u0410\u043d\u0442\u0438\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c (\u043e\u0441\u043d\u043e\u0432\u0430 10) \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f 0,845 \u043c\u043e\u0436\u043d\u0430 \u0437\u043d\u0430\u0439\u0442\u0438, \u044f\u043a\u0449\u043e \u0432\u0437\u044f\u0442\u0438 10 \u0443 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