{"id":26807,"date":"2021-06-13T13:00:40","date_gmt":"2021-06-13T13:00:40","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26807"},"modified":"2024-05-22T04:11:12","modified_gmt":"2024-05-22T04:11:12","slug":"%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/","title":{"rendered":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0420\u0435\u0437\u044e\u043c\u0435<\/strong><br \/><em>\u042d\u0442\u043e\u0442 \u0443\u0440\u043e\u043a \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0433\u043b\u0443\u0431\u043e\u043a\u043e\u0435 \u043f\u043e\u0433\u0440\u0443\u0436\u0435\u043d\u0438\u0435 \u0432 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u043c\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043c\u0438 \u0442\u0435\u043e\u0440\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0438\u0437\u0430. \u0412\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043a\u0430\u043a \u0447\u0438\u0441\u043b\u0430, \u0437\u0430\u0432\u0438\u0441\u044f\u0449\u0435\u0433\u043e \u043e\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0433\u043e \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0430. \u0420\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439, \u043f\u043e\u0434\u0447\u0435\u0440\u043a\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0435\u0435 \u0432\u0430\u0436\u043d\u043e\u0441\u0442\u044c, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0435\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439, \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u044f, \u0447\u0442\u043e \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u0433\u0443\u0442 \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043d\u0435 \u0431\u0443\u0434\u0443\u0447\u0438 \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0426\u0415\u041b\u0418 \u041e\u0411\u0423\u0427\u0415\u041d\u0418\u042f:<\/strong><br \/>\n\u041f\u043e \u043e\u043a\u043e\u043d\u0447\u0430\u043d\u0438\u0438 \u044d\u0442\u043e\u0433\u043e \u0443\u0440\u043e\u043a\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0431\u0443\u0434\u0435\u0442 \u0441\u043f\u043e\u0441\u043e\u0431\u0435\u043d:\n<\/p>\n<ol>\n<li><strong>\u041f\u043e\u043d\u044f\u0442\u044c<\/strong> \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445: \u0421\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u0435\u0442\u044c \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0442\u044c \u0438 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u043a\u0430\u043a \u043e\u043d\u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0442\u0441\u044f.<\/li>\n<li><strong>\u041f\u043e\u043d\u044f\u0442\u044c<\/strong> \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439: \u0421\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u0435\u0442\u044c \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u043a\u0430\u043a \u043e\u043d\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442\u0441\u044f.<\/li>\n<li><strong>\u041e\u043f\u0438\u0441\u044b\u0432\u0430\u0442\u044c<\/strong> \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439: \u0421\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u0435\u0442\u044c \u0440\u0430\u0441\u043f\u043e\u0437\u043d\u0430\u0432\u0430\u0442\u044c \u0438 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439.<\/li>\n<li><strong>\u0410\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c<\/strong> \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439: \u0421\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u0435\u0442\u044c \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0442\u044c, \u043a\u0430\u043a \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u0430\u043d\u044b, \u0438 \u043a\u0430\u043a \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u0433\u0443\u0442 \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043d\u0435 \u0431\u0443\u0434\u0443\u0447\u0438 \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439.<\/li>\n<li><strong>\u0414\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u0442\u044c<\/strong> \u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f\u0445: \u0421\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u0435\u0442\u044c \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u044d\u0442\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0432 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f\u0445.<\/li>\n<li><strong>\u041f\u043e\u043d\u044f\u0442\u044c<\/strong> \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f: \u0421\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u0435\u0442\u044c \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0438 \u043a\u0430\u043a \u043e\u043d\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439.<\/li>\n<\/ol>\n<p><center><br \/>\n<strong><u>\u0421\u041e\u0414\u0415\u0420\u0416\u0410\u041d\u0418\u0415<\/u>:<\/strong><br \/>\n<a href=\"#1\"><strong>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435?<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439?<\/strong><\/a><br \/>\n<a href=\"#3\">\u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/a><br \/>\n<a href=\"#4\">\u0421\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/a><br \/>\n<\/center><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/gIKn9t1hnrw\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p style=\"text-align: justify; color: #000000;\">\u041e\u0434\u043d\u0438\u043c \u0438\u0437 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0445 \u043f\u043e\u043d\u044f\u0442\u0438\u0439 \u0442\u0435\u043e\u0440\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0438\u0437\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439. \u0425\u043e\u0442\u044f \u0442\u0435\u043e\u0440\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u043b\u0438 \u0434\u043e \u0441\u0438\u0445 \u043f\u043e\u0440, \u0432 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0441\u043c\u044b\u0441\u043b\u0435 \u00ab\u043f\u043e\u043b\u043d\u0430\u00bb, \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0432 \u0441\u0432\u043e\u0435\u043c \u043d\u044b\u043d\u0435\u0448\u043d\u0435\u043c \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u043e\u043d\u0430 \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u0440\u0438\u043c\u0438\u0442\u0438\u0432\u043d\u0430; \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 &#8211; \u044d\u0442\u043e, \u0442\u0430\u043a \u0441\u043a\u0430\u0437\u0430\u0442\u044c, \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0442 \u043d\u0430\u043c \u00ab\u0441\u043c\u0430\u0437\u0430\u0442\u044c \u043d\u0430\u0448\u0438 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0431\u043e\u0442\u044b \u0441 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0438\u0437\u0430\u00bb.<\/p>\n<p><a name=\"1\"><\/a><\/br><\/br><\/p>\n<h2>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435?<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><strong><span style=\"color: #ff0000;\">\u0427\u0442\u043e\u0431\u044b \u043f\u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u0442\u044c\u0441\u044f \u0441 \u043f\u043e\u043d\u044f\u0442\u0438\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439<\/span><\/strong>, \u043f\u043e\u043b\u0435\u0437\u043d\u043e \u043d\u0430\u0447\u0430\u0442\u044c \u0441 \u0438\u043d\u0442\u0443\u0438\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u043f\u043e\u0434\u0445\u043e\u0434\u0430: \u043c\u043e\u0436\u043d\u043e \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u043a\u0430\u043a \u00ab\u0447\u0438\u0441\u043b\u043e, \u0437\u0430\u0432\u0438\u0441\u044f\u0449\u0435\u0435 \u043e\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0433\u043e \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0430\u00bb. \u041e\u0434\u043d\u0430\u043a\u043e \u0434\u043b\u044f \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0447\u043d\u043e\u0433\u043e \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u044f \u0432\u0430\u0436\u043d\u043e \u0442\u0430\u043a\u0436\u0435 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u0435\u0435 \u0444\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435:<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #e0ffe0;\">\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000080;\"><strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435:<\/strong><\/span> \u0421\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{X}<\/span><\/span> &#8211; \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f:\\Omega \\longmapsto \\mathcal{X}<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u041d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 &#8211; \u043a\u043e\u0433\u0434\u0430 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{X}= \\mathbb{R},<\/span><\/span> \u0438, \u0435\u0441\u043b\u0438 \u043d\u0435 \u0443\u043a\u0430\u0437\u0430\u043d\u043e \u0438\u043d\u043e\u0435, \u044d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 \u043d\u0430\u0448\u0435 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435; \u0442\u043e \u0435\u0441\u0442\u044c \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0440\u0430\u0431\u043e\u0442\u0430\u0442\u044c \u0441\u043e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438, \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u044e\u0449\u0438\u043c\u0438 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. \u041e\u0431\u044b\u0447\u043d\u043e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442\u0441\u044f \u0437\u0430\u0433\u043b\u0430\u0432\u043d\u044b\u043c\u0438 \u0431\u0443\u043a\u0432\u0430\u043c\u0438, \u0442\u0430\u043a\u0438\u043c\u0438 \u043a\u0430\u043a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X,Y,Z, \\cdots,<\/span><\/span>, \u0432 \u0442\u043e \u0432\u0440\u0435\u043c\u044f \u043a\u0430\u043a \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442\u0441\u044f \u0441\u0442\u0440\u043e\u0447\u043d\u044b\u043c\u0438 \u0431\u0443\u043a\u0432\u0430\u043c\u0438. \u0414\u043b\u044f \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0431\u0443\u0434\u0435\u043c \u043d\u0430\u0437\u044b\u0432\u0430\u0442\u044c \u043f\u0440\u043e\u0441\u0442\u043e \u00ab\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438\u00bb.<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #e0e0ff;\">\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043c\u0435\u0440:<\/strong><\/span> \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0447\u0442\u043e \u043a\u0443\u0431\u0438\u043a \u0431\u0440\u043e\u0441\u0430\u0435\u0442\u0441\u044f \u0434\u0432\u0430\u0436\u0434\u044b. \u0422\u043e\u0433\u0434\u0430 \u0443 \u043d\u0430\u0441 \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{2d6} = \\{(\\omega_1, \\omega_2)\\;|\\; \\omega_1,\\omega_2 \\in \\{1,2,3,4,5,6\\}\\}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X=<\/span><\/span> \u00ab\u041a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0440\u0430\u0437, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b\u043f\u0430\u0434\u0430\u0435\u0442 \u043e\u0434\u0438\u043d\u00bb<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Y=<\/span><\/span> \u00ab\u0421\u0443\u043c\u043c\u0430 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0445 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432\u00bb <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=\\omega_1 + \\omega_2<\/span><\/span><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Z=<\/span><\/span> \u00ab\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0431\u0440\u043e\u0441\u043a\u0430\u00bb <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">= \\omega_2<\/span><\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"2\"><\/a><\/br><\/br><\/p>\n<h2>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439?<\/h2>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #e0ffe0;\">\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000080;\"><strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435: <\/strong><\/span><strong><span style=\"color: #ff0000;\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f (\u0438\u043b\u0438 \u00ab\u0424\u0420\u00bb)<\/span><\/strong> \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> &#8211; \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_X: \\mathbb{R} \\longmapsto \\mathbb{R}<\/span><\/span>, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0430\u044f \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435\u043c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_X(x) = P(\\{\\omega \\;|\\; X(\\omega)\\leq x\\}),<\/span><\/span> \u0438\u043b\u0438, \u043a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X\\leq x).<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u041e\u0431\u044b\u0447\u043d\u043e \u0438\u043d\u0442\u0435\u0440\u0435\u0441 \u043a \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u043d\u0435 \u0441\u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u0435\u0435 \u044f\u0432\u043d\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \u0432 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u043c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span><\/span>, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0432 \u0435\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f. \u0418\u043d\u0434\u0435\u043a\u0441 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0432 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_X<\/span><\/span> \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u043f\u0443\u0449\u0435\u043d, \u0435\u0441\u043b\u0438 \u043a\u043e\u043d\u0442\u0435\u043a\u0441\u0442 \u044f\u0441\u0435\u043d \u0438 \u043d\u0435\u0442 \u0434\u0432\u0443\u0441\u043c\u044b\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438. \u0427\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim F<\/span><\/span> \u0434\u043b\u044f \u0443\u043a\u0430\u0437\u0430\u043d\u0438\u044f, \u0447\u0442\u043e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438\u043c\u0435\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F.<\/span><\/span><\/p>\n<p><a name=\"3\"><\/a><\/br><\/br><\/p>\n<h3>\u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=gIKn9t1hnrw&amp;t=806s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0415\u0441\u043b\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/span><\/strong><\/a> \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a,b<\/span><\/span> \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043b\u044e\u0431\u044b\u043c\u0438 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0447\u0438\u0441\u043b\u0430\u043c\u0438, \u0442\u043e\u0433\u0434\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430:<\/p>\n<p style=\"text-align: justify; color: #000000;\">(a) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\lt b \\longrightarrow [P(a\\lt X \\leq b) = F(b) - F(a)]<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">(b) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\lt b \\longrightarrow F(a) \\leq F(b),<\/span><\/span> \u0442\u043e \u0435\u0441\u0442\u044c \u00abF \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442\u00bb.<\/p>\n<p style=\"text-align: justify; color: #000000;\">(c) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to +\\infty} F(x) = 1<\/span><\/span> \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to -\\infty} F(x) = 0<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">(d) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(X=x)=\\lim_{t\\to x^+}F(t) - \\lim_{t\\to x^-}F(t)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">(e) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F(x)=\\lim_{t\\to x^+}F(t)<\/span><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #ffe0e0;\"><span class=\"collapseomatic \" id=\"id69e444c6a3e47\"  tabindex=\"0\" title=\"\u0414\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e\"    >\u0414\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e<\/span><div id=\"target-id69e444c6a3e47\" class=\"collapseomatic_content \">\n<p style=\"text-align: justify; color: #000000;\"><strong>(a)<\/strong> \u041f\u0443\u0441\u0442\u044c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> &#8211; \u044d\u0442\u043e \u0441\u043e\u0431\u044b\u0442\u0438\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{X\\leq a\\}<\/span><\/span> \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{X\\leq b\\}<\/span><\/span> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \u043f\u0440\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\lt b.<\/span><\/span> \u0415\u0441\u043b\u0438 \u0432\u0441\u0435 \u044d\u0442\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f, \u0442\u043e \u0431\u0443\u0434\u0435\u0442 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A\\subseteq B<\/span><\/span>, \u0438 \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{P(a\\lt X\\leq b)} = P(B\\setminus A) = P(B) - P(B\\cap A) = P(B)-P(A) =\\color{blue}{F(b) - F(a)}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong>(b)<\/strong> \u0418\u0437 \u0447\u0430\u0441\u0442\u0438 (a) \u0441\u043b\u0435\u0434\u0443\u0435\u0442: \u0442\u0430\u043a \u043a\u0430\u043a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(B\\setminus A)\\geq 0,<\/span><\/span> \u0442\u043e \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(b) - F(a) \\geq 0<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0447\u0442\u043e \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(a) \\leq F(b)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong>(c)<\/strong> \u0417\u0434\u0435\u0441\u044c \u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u0442\u043e\u0442 \u0444\u0430\u043a\u0442, \u0447\u0442\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u043c\u043e\u043d\u043e\u0442\u043e\u043d\u043d\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442 (\u0434\u043e\u043a\u0430\u0437\u0430\u043d\u043e \u0432 (b)) \u0438 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u043e \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u0440\u0430\u0432\u043d\u044b\u043c \u00ab1\u00bb (\u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u0442\u0435\u0440\u043c\u0438\u043d\u0430\u0445 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438). \u042d\u0442\u043e\u0433\u043e \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0441\u043a\u0430\u0437\u0430\u0442\u044c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to +\\infty} F(x) = 1<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0410\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u044b\u0439 \u043f\u043e\u0434\u0445\u043e\u0434 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0441 \u0442\u0430\u043a\u0438\u043c \u0436\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A_n=\\{\\omega\\;|\\;X(\\omega)\\leq n\\}.<\/span><\/span> \u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u043b\u0435\u0433\u043a\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0447\u0442\u043e \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0431\u0443\u0434\u0435\u0442 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A_{n}\\subseteq A_{n+1},<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\bigcup_{n\\lt +\\infty} A_n = \\Omega<\/span><\/span> \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e <a href=\"http:\/\/toposuranos.com\/material\/ru\/%d0%bf%d0%be%d0%bb%d0%b5%d0%b7%d0%bd%d1%8b%d0%b5-%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc%d1%8b-%d0%b4%d0%bb%d1%8f-%d0%b2%d1%8b%d1%87%d0%b8%d1%81%d0%bb%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b2%d0%b5%d1%80%d0%be\/\" rel=\"noopener\" target=\"_blank\">\u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0441\u0442\u0438<\/a>, \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle 1=P(\\Omega) = P\\left( \\bigcup_{n\\lt +\\infty} A_n \\right) = \\lim_{n\\to +\\infty} P(A_n) = \\lim_{n\\to +\\infty} P(\\{\\omega\\;|\\;X(\\omega)\\leq n\\}) = \\lim_{n\\to +\\infty} P(X\\leq n)=\\lim_{n\\to +\\infty}F(n)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0422\u043e \u0435\u0441\u0442\u044c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\color{blue}{\\lim_{x\\to +\\infty} F(x) = 1}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u043b\u044f \u043f\u0440\u0435\u0434\u0435\u043b\u0430 \u043f\u0440\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\to -\\infty<\/span><\/span> \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B_n=\\{\\omega\\;|\\;-n\\lt X(\\omega)\\}.<\/span><\/span> \u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{n \\to -\\infty}F(n) = \\lim_{n\\to -\\infty} P(X\\leq n) = \\lim_{n\\to \\infty} P(X\\leq -n)= 1 - \\lim_{n\\to \\infty} P(-n \\lt X) = 1 - \\lim_{n\\to \\infty}P(B_n)) = 1 - P(\\Omega) = 1-1=0<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong>(d)<\/strong> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0447\u0430\u0441\u0442\u0438 (c). \u041d\u0430\u0447\u043d\u0435\u043c \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle C_n = \\left\\{x - \\frac{1}{n} \\leq X \\leq x + \\frac{1}{n}\\right\\}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0418 \u0438\u0437 \u044d\u0442\u043e\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> C_{n+1}\\subseteq C_n<\/span><\/span><\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\bigcap_{n\\gt 0} C_n = \\{X=x\\}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f <a href=\"http:\/\/toposuranos.com\/material\/ru\/%d0%bf%d0%be%d0%bb%d0%b5%d0%b7%d0%bd%d1%8b%d0%b5-%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc%d1%8b-%d0%b4%d0%bb%d1%8f-%d0%b2%d1%8b%d1%87%d0%b8%d1%81%d0%bb%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b2%d0%b5%d1%80%d0%be\/\" rel=\"noopener\" target=\"_blank\">\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0438\u0437 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0441\u0442\u0438<\/a> \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(X=x)=P\\left(\\bigcap_{n\\gt 0} C_n \\right) = \\lim_{n\\to \\infty} P(C_n) = \\lim_{x+1\/n \\to x^+}F\\left(x+1\/n\\right) - \\lim_{x-1\/n \\to x^-}F\\left(x-1\/n\\right)= \\lim_{t \\to x^+}F\\left(t\\right) - \\lim_{t \\to x^-}F\\left(t\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong>(e)<\/strong> \u042d\u0442\u043e\u0442 \u0441\u043b\u0443\u0447\u0430\u0439 \u0432\u044b\u0442\u0435\u043a\u0430\u0435\u0442 \u0438\u0437 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u044b \u0443\u0436\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u043b\u0438:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(X=x)= \\lim_{t \\to x^+}F\\left(t\\right) - \\lim_{t \\to x^-}F\\left(t\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u041c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{t \\to x^+}F\\left(t\\right) = P(X=x) + \\lim_{t \\to x^-}F\\left(t\\right) = P(X=x) + \\lim_{t\\to x^-}P(X\\leq t)= P(X\\leq x) = F(x)<\/span><\/span><\/p>\n<\/div><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"4\"><\/a><\/br><\/br><\/p>\n<h3>\u0421\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\u0413\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Y<\/span><\/span> \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439, \u0435\u0441\u043b\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\forall A\\subseteq \\mathbb{R})(P(X\\in A) = P(Y\\in A)).<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0414\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Y<\/span><\/span>, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0435 \u043d\u0430 \u043e\u0434\u043d\u043e\u043c \u0438 \u0442\u043e\u043c \u0436\u0435 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u043c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span><\/span>, \u043c\u043e\u0433\u0443\u0442 \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043d\u043e \u044d\u0442\u043e \u043d\u0435 \u0437\u043d\u0430\u0447\u0438\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442 \u043f\u043e \u043f\u043e\u0434\u0431\u0440\u0430\u0441\u044b\u0432\u0430\u043d\u0438\u044e \u0441\u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u043c\u043e\u043d\u0435\u0442\u044b \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X=1<\/span><\/span> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0440\u043b\u0443, \u0430 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X=0<\/span><\/span> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u0435\u0448\u043a\u0435, \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Y=1-X<\/span><\/span> \u0438 \u0442\u043e\u0433\u0434\u0430 \u0431\u0443\u0434\u0435\u0442 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X=1) = P(Y=1)=0.5,<\/span><\/span> \u0438 \u043e\u0431\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0431\u0443\u0434\u0443\u0442 \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043d\u043e \u0435\u0441\u043b\u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043e\u0431\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u0442\u043e \u0431\u0443\u0434\u0435\u0442 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X=Y)=0<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0420\u0435\u0437\u044e\u043c\u0435\u042d\u0442\u043e\u0442 \u0443\u0440\u043e\u043a \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0433\u043b\u0443\u0431\u043e\u043a\u043e\u0435 \u043f\u043e\u0433\u0440\u0443\u0436\u0435\u043d\u0438\u0435 \u0432 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u043c\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043c\u0438 \u0442\u0435\u043e\u0440\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0438\u0437\u0430. \u0412\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043a\u0430\u043a \u0447\u0438\u0441\u043b\u0430, \u0437\u0430\u0432\u0438\u0441\u044f\u0449\u0435\u0433\u043e \u043e\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0433\u043e \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0430. \u0420\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439, \u043f\u043e\u0434\u0447\u0435\u0440\u043a\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0435\u0435 \u0432\u0430\u0436\u043d\u043e\u0441\u0442\u044c, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0435\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c\u0438 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26787,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":1,"footnotes":""},"categories":[680,573],"tags":[],"class_list":["post-26807","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-680","category-573"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/ru\/\u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435-\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435-\u0438-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439\" \/>\n<meta property=\"og:description\" content=\"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/ru\/\u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435-\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435-\u0438-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-13T13:00:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-22T04:11:12+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439\" \/>\n<meta name=\"twitter:description\" content=\"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439\",\"datePublished\":\"2021-06-13T13:00:40+00:00\",\"dateModified\":\"2024-05-22T04:11:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/\"},\"wordCount\":1365,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg\",\"articleSection\":[\"\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430\",\"\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/\",\"url\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/\",\"name\":\"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 - toposuranos.com\/material\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg\",\"datePublished\":\"2021-06-13T13:00:40+00:00\",\"dateModified\":\"2024-05-22T04:11:12+00:00\",\"description\":\"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.\",\"breadcrumb\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg\",\"width\":1024,\"height\":356,\"caption\":\"Created with GIMP\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/toposuranos.com\/material\/#website\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"name\":\"toposuranos.com\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/toposuranos.com\/material\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\",\"name\":\"toposuranos.com\/material\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\/material\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/groups\/toposuranos\",\"https:\/\/x.com\/topuranos\",\"https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\/\/www.linkedin.com\/company\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\/\/toposuranos.com\/material\"],\"url\":\"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 - toposuranos.com\/material","description":"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/ru\/\u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435-\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435-\u0438-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\/","og_locale":"es_ES","og_type":"article","og_title":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439","og_description":"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.","og_url":"http:\/\/toposuranos.com\/material\/ru\/\u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435-\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435-\u0438-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-06-13T13:00:40+00:00","article_modified_time":"2024-05-22T04:11:12+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439","twitter_description":"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439","datePublished":"2021-06-13T13:00:40+00:00","dateModified":"2024-05-22T04:11:12+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/"},"wordCount":1365,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg","articleSection":["\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430","\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/","url":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/","name":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg","datePublished":"2021-06-13T13:00:40+00:00","dateModified":"2024-05-22T04:11:12+00:00","description":"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0432 \u044d\u0442\u043e\u043c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u043c \u0443\u0440\u043e\u043a\u0435.","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/Variables-Aleatorias-y-Distribuciones-de-Probabilidades.jpg","width":1024,"height":356,"caption":"Created with GIMP"},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/26807","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=26807"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/26807\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/26787"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=26807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=26807"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=26807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}