{"id":25400,"date":"2021-03-11T00:00:26","date_gmt":"2021-03-11T00:00:26","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25400"},"modified":"2024-06-05T04:17:17","modified_gmt":"2024-06-05T04:17:17","slug":"%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/","title":{"rendered":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0645\u0644\u062e\u0635<\/strong><br \/><em>\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0646\u062a\u0646\u0627\u0648\u0644 \u0645\u0641\u0647\u0648\u0645 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0648\u0647\u0648 \u0647\u064a\u0643\u0644 \u0631\u064a\u0627\u0636\u064a \u064a\u062a\u0623\u0644\u0641 \u0645\u0646 \u0641\u0636\u0627\u0621 \u0639\u064a\u0646\u064a\u060c \u0633\u064a\u063a\u0645\u0627-\u062c\u0628\u0631 \u0648\u0642\u064a\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644. \u064a\u062a\u0645 \u0641\u062d\u0635 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644\u060c \u0648\u0647\u0648 \u0645\u0641\u0647\u0648\u0645 \u064a\u064f\u0639\u0631\u0641 \u0628\u0623\u0646\u0647 \u0645\u062c\u0645\u0648\u0639 \u0643\u0644 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0639\u0645\u0644\u064a\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629\u060c \u0646\u0648\u0636\u062d \u0628\u0646\u0627\u0621 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u060c \u0648\u0646\u0634\u0631\u062d \u0643\u064a\u0641 \u064a\u062a\u0645 \u0645\u0646 \u062e\u0644\u0627\u0644\u0647\u0627 \u0628\u0646\u0627\u0621 \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u064a\u0627\u0633 \u0648\u062d\u0633\u0627\u0628 \u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644. \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0623\u0633\u0627\u0633\u064a \u0644\u0641\u0647\u0645 \u0623\u0633\u0633 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0648\u0636\u0639 \u0627\u0644\u0623\u0633\u0627\u0633 \u0644\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n\u0639\u0646\u062f \u0627\u0643\u062a\u0645\u0627\u0644 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n<\/p>\n<ol>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0645\u0641\u0647\u0648\u0645 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.<\/li>\n<li><strong>\u062a\u062d\u062f\u064a\u062f<\/strong> \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.<\/li>\n<li><strong>\u0627\u0644\u062a\u0645\u064a\u064a\u0632<\/strong> \u0628\u064a\u0646 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629.<\/li>\n<li><strong>\u0628\u0646\u0627\u0621<\/strong> \u0641\u0636\u0627\u0621\u0627\u062a \u0639\u064a\u0646\u064a\u0629 \u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0645\u0633\u062a\u0645\u0631\u0629.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong><br \/>\n<a href=\"#1\">\u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/a><br \/>\n<a href=\"#2\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629<\/a><br \/>\n<a href=\"#3\">\u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/NgYvWIWC_c4\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=89s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u062a\u0642\u0648\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u064a\u064f\u0633\u0645\u0649 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.<\/span><\/strong><\/a> \u0647\u0630\u0627 \u0647\u064a\u0643\u0644 \u0631\u064a\u0627\u0636\u064a \u064a\u062a\u0623\u0644\u0641 \u0645\u0646: (\u0623) \u0641\u0636\u0627\u0621 \u0639\u064a\u0646\u064a <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span>\u060c (\u0628) \u0633\u064a\u063a\u0645\u0627-\u062c\u0628\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">\\Sigma<\/span> \u0648(\u062c) \u0642\u064a\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span>. \u0644\u0628\u0646\u0627\u0621 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0633\u0646\u0631\u0627\u062c\u0639 \u0623\u0648\u0644\u0627\u064b \u0645\u0641\u0647\u0648\u0645 <strong>\u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a.<\/strong><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u064a\u062a\u0643\u0648\u0646 \u0627\u062c\u062a\u0645\u0627\u0639 \u0643\u0644 <strong>\u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\omega<\/span> \u0644\u0640<strong><a href=\"https:\/\/toposuranos.com\/probabilidades-deterministas-indeterministas-azar\/\" rel=\"noopener\" target=\"_blank\">\u0639\u0645\u0644\u064a\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629<\/a><\/strong> \u0645\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u063a\u064a\u0631 \u0641\u0627\u0631\u063a\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span> \u0646\u0633\u0645\u064a\u0647\u0627 <strong>\u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a.<\/strong><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629<\/h2>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=136s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u0645\u062b\u0627\u0644 1<\/span><\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u0639\u0646\u062f \u0625\u0644\u0642\u0627\u0621 \u0639\u0645\u0644\u0629 \u0641\u064a \u0627\u0644\u0647\u0648\u0627\u0621\u060c \u0644\u062f\u064a\u0646\u0627 \u0646\u062a\u064a\u062c\u062a\u0627\u0646 \u0645\u062d\u062a\u0645\u0644\u062a\u0627\u0646: \u0648\u062c\u0647 (C) \u0648\u0643\u062a\u0641 (S). \u0644\u0630\u0644\u0643\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0647\u0648<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1m}=\\{C,S\\}<\/span>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd; color: #008000;\"><strong>\u0645\u062b\u0627\u0644 2<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u0625\u0630\u0627 \u062a\u0645 \u062a\u0643\u0631\u0627\u0631 \u0627\u0644\u062a\u062c\u0631\u0628\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629\u060c \u0648\u0644\u0643\u0646 \u0627\u0644\u0622\u0646 \u0645\u0639 \u0625\u0644\u0642\u0627\u0626\u064a\u0646\u060c \u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{2m}=\\{(C,C);(C,S);(S,C);(S,S)\\}<\/span>\n<p>\u0623\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0648\u062c\u0647 \u0648\u0627\u0644\u0643\u062a\u0641 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u0646 \u0627\u062b\u0646\u064a\u0646.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd; color: #008000;\"><strong>\u0645\u062b\u0627\u0644 3<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u0625\u0644\u0642\u0627\u0621 \u0646\u0631\u062f \u0630\u0648 6 \u0623\u0648\u062c\u0647 \u064a\u0643\u0648\u0646 \u0644\u0647 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}=\\{1,2,3,4,5,6\\}<\/span>\n<p>\u0623\u064a \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0639\u0644\u0649 \u0643\u0644 \u0648\u062c\u0647 \u0645\u0646 \u0623\u0648\u062c\u0647\u0647.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd; color: #008000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=213s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u0645\u062b\u0627\u0644 4<\/span><\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u0639\u0645\u0631 \u062c\u0647\u0627\u0632 \u0643\u0647\u0631\u0628\u0627\u0626\u064a (\u0645\u0642\u0627\u0633 \u0628\u0627\u0644\u0633\u0627\u0639\u0627\u062a) \u0644\u0647 \u0641\u0636\u0627\u0621 \u0639\u064a\u0646\u064a \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647 \u0628\u0627\u0644\u0634\u0643\u0644<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{ae}=\\{t\\in \\mathbb{R} \\;|\\; t\\geq 0\\}<\/span>\n<p>\u0623\u064a \u0623\u0646 \u0639\u0645\u0631 \u0627\u0644\u062c\u0647\u0627\u0632 \u0647\u0648 \u0631\u0642\u0645 <span class=\"katex-eq\" data-katex-display=\"false\">t<\/span> \u0636\u0645\u0646 \u0627\u0644\u0641\u062a\u0631\u0629 <span class=\"katex-eq\" data-katex-display=\"false\"> [0,+\\infty[ <\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=285s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0623\u0645\u062b\u0644\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0646\u0648\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629\u060c<\/span><\/strong><\/a> \u0647\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629. \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u062d\u062f\u0648\u062f\u0629\u060c \u0643\u0645\u0627 \u0641\u064a \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0647\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0623\u064a\u0636\u064b\u0627 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629 \u0648\u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0639\u062f (\u0645\u062b\u0644 \u0623\u064a \u062c\u0632\u0621 \u0641\u0631\u0639\u064a \u0645\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathbb{N}<\/span>). \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0647\u064a \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629 \u0648\u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0639\u062f\u061b \u0648\u0639\u0627\u062f\u0629 \u0645\u0627 \u062a\u0645\u062b\u0644 \u0639\u0628\u0631 \u0627\u0644\u0641\u062a\u0631\u0627\u062a \u0627\u0644\u0641\u0631\u0639\u064a\u0629 \u0645\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathbb{R}<\/span>.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a (\u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629) \u064a\u062a\u0645 \u0628\u0646\u0627\u0621 <strong>\u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u064a\u0627\u0633<\/strong> (\u0623\u0634\u064a\u0627\u0621 \u0645\u0646 \u0633\u064a\u063a\u0645\u0627-\u062c\u0628\u0631) \u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0648\u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0623\u0634\u064a\u0627\u0621 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 <strong>\u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0645\u0644\u062e\u0635\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0646\u062a\u0646\u0627\u0648\u0644 \u0645\u0641\u0647\u0648\u0645 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0648\u0647\u0648 \u0647\u064a\u0643\u0644 \u0631\u064a\u0627\u0636\u064a \u064a\u062a\u0623\u0644\u0641 \u0645\u0646 \u0641\u0636\u0627\u0621 \u0639\u064a\u0646\u064a\u060c \u0633\u064a\u063a\u0645\u0627-\u062c\u0628\u0631 \u0648\u0642\u064a\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644. \u064a\u062a\u0645 \u0641\u062d\u0635 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644\u060c \u0648\u0647\u0648 \u0645\u0641\u0647\u0648\u0645 \u064a\u064f\u0639\u0631\u0641 \u0628\u0623\u0646\u0647 \u0645\u062c\u0645\u0648\u0639 \u0643\u0644 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0639\u0645\u0644\u064a\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629\u060c \u0646\u0648\u0636\u062d \u0628\u0646\u0627\u0621 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u060c \u0648\u0646\u0634\u0631\u062d \u0643\u064a\u0641 \u064a\u062a\u0645 \u0645\u0646 \u062e\u0644\u0627\u0644\u0647\u0627 \u0628\u0646\u0627\u0621 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":25391,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":148,"footnotes":""},"categories":[676,565],"tags":[],"class_list":["post-25400","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-676","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/toposuranos.com\/material\/ar\/\u062a\u0639\u0631\u0651\u0641-\u0639\u0644\u0649-\u0627\u0644\u0641\u0636\u0627\u0621-\u0627\u0644\u0639\u064a\u0646\u064a-\u0641\u064a-\u0646\u0638\u0631\u064a\u0629-\u0627\u0644\u0627\u062d\u062a\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\" \/>\n<meta property=\"og:description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/ar\/\u062a\u0639\u0631\u0651\u0641-\u0639\u0644\u0649-\u0627\u0644\u0641\u0636\u0627\u0621-\u0627\u0644\u0639\u064a\u0646\u064a-\u0641\u064a-\u0646\u0638\u0631\u064a\u0629-\u0627\u0644\u0627\u062d\u062a\/\" \/>\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=\"2021-03-11T00:00:26+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-06-05T04:17:17+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\" \/>\n<meta name=\"twitter:description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral.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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\",\"datePublished\":\"2021-03-11T00:00:26+00:00\",\"dateModified\":\"2024-06-05T04:17:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/\"},\"wordCount\":66,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/espaciomuestral.jpg\",\"articleSection\":[\"\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0621\",\"\u0631\u064a\u0627\u0636\u064a\u0627\u062a\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/\",\"name\":\"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/espaciomuestral.jpg\",\"datePublished\":\"2021-03-11T00:00:26+00:00\",\"dateModified\":\"2024-06-05T04:17:17+00:00\",\"description\":\"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#primaryimage\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/espaciomuestral.jpg\",\"contentUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/espaciomuestral.jpg\",\"width\":1792,\"height\":1024},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/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\":\"https:\\\/\\\/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\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"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\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a - toposuranos.com\/material","description":"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.","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":"https:\/\/toposuranos.com\/material\/ar\/\u062a\u0639\u0631\u0651\u0641-\u0639\u0644\u0649-\u0627\u0644\u0641\u0636\u0627\u0621-\u0627\u0644\u0639\u064a\u0646\u064a-\u0641\u064a-\u0646\u0638\u0631\u064a\u0629-\u0627\u0644\u0627\u062d\u062a\/","og_locale":"es_ES","og_type":"article","og_title":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a","og_description":"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.","og_url":"https:\/\/toposuranos.com\/material\/ar\/\u062a\u0639\u0631\u0651\u0641-\u0639\u0644\u0649-\u0627\u0644\u0641\u0636\u0627\u0621-\u0627\u0644\u0639\u064a\u0646\u064a-\u0641\u064a-\u0646\u0638\u0631\u064a\u0629-\u0627\u0644\u0627\u062d\u062a\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-03-11T00:00:26+00:00","article_modified_time":"2024-06-05T04:17:17+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a","twitter_description":"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.","twitter_image":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"2 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#article","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/"},"author":{"name":"giorgio.reveco","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a","datePublished":"2021-03-11T00:00:26+00:00","dateModified":"2024-06-05T04:17:17+00:00","mainEntityOfPage":{"@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/"},"wordCount":66,"commentCount":0,"publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral.jpg","articleSection":["\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0621","\u0631\u064a\u0627\u0636\u064a\u0627\u062a"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/","url":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/","name":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a - toposuranos.com\/material","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#primaryimage"},"image":{"@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral.jpg","datePublished":"2021-03-11T00:00:26+00:00","dateModified":"2024-06-05T04:17:17+00:00","description":"\u0627\u0643\u062a\u0634\u0641 \u0643\u0644 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0627\u0644\u062a\u064a \u0631\u0628\u0645\u0627 \u0644\u0645 \u062a\u0643\u0646 \u062a\u0639\u0631\u0641\u0647\u0627 \u0648\u0627\u0633\u062a\u0639\u062f \u0644\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a.","breadcrumb":{"@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#primaryimage","url":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral.jpg","contentUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/espaciomuestral.jpg","width":1792,"height":1024},{"@type":"BreadcrumbList","@id":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a"}]},{"@type":"WebSite","@id":"https:\/\/toposuranos.com\/material\/#website","url":"https:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"https:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"https:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/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":"https:\/\/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":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","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":"https:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25400","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=25400"}],"version-history":[{"count":0,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25400\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/25391"}],"wp:attachment":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=25400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=25400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=25400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}