{"id":26710,"date":"2021-04-19T13:00:33","date_gmt":"2021-04-19T13:00:33","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26710"},"modified":"2024-05-21T20:57:58","modified_gmt":"2024-05-21T20:57:58","slug":"%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/","title":{"rendered":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u093e\u0930\u093e\u0902\u0936<\/strong><br \/><em>\u0907\u0938 \u0938\u0924\u094d\u0930 \u092e\u0947\u0902, \u0939\u092e \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u092a\u0930\u0938\u094d\u092a\u0930 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u0905\u0928\u094d\u0935\u0947\u0937\u0923 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u092f\u093e \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0915\u094c\u0936\u0932 \u0939\u093e\u0938\u093f\u0932 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902\u0917\u0947, \u091c\u0948\u0938\u0947 \u092e\u093f\u0920\u093e\u0908 \u0915\u0947 \u0909\u092a\u092d\u094b\u0915\u094d\u0924\u093e\u0913\u0902 \u092e\u0947\u0902 \u0926\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0921\u093c\u0928 \u0915\u0940 \u092a\u094d\u0930\u091a\u0932\u093f\u0924\u0924\u093e \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928, \u0907\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f\u0964 \u0905\u0902\u0924 \u092e\u0947\u0902, \u0906\u092a\u0915\u0947 \u092a\u093e\u0938 \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0914\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u090f\u0935\u0902 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u094d\u092a\u0937\u094d\u091f \u0938\u092e\u091d \u0939\u094b\u0917\u0940\u0964<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u0940\u0916\u0928\u0947 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0902\u0924 \u0924\u0915, \u0906\u092a \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:\n<\/p>\n<ol>\n<li><strong>\u0938\u092e\u091d\u0928\u093e<\/strong> \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0914\u0930 \u0907\u0938\u0915\u0940 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092a\u0930\u0938\u094d\u092a\u0930\u0924\u093e \u0914\u0930 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u0917\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924\u0924\u093e\u0964<\/li>\n<li><strong>\u092a\u0939\u091a\u093e\u0928\u0928\u093e<\/strong> \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0914\u0930 \u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0938\u0947\u0964<\/li>\n<li><strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e<\/strong> \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e\u0964<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong><u>\u0938\u093e\u092e\u0917\u094d\u0930\u0940 \u0915\u093e \u0938\u0942\u091a\u0915\u093e\u0902\u0915<\/u><\/strong><br \/>\n<a href=\"#1\">\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/a><br \/>\n<a href=\"#2\">\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/a><br \/>\n<a href=\"#3\">\u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927<\/a><br \/>\n<a href=\"#4\">\u0918\u091f\u0928\u093e\u0913\u0902 \u0914\u0930 \u0909\u0928\u0915\u0947 \u092a\u0942\u0930\u0915 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/rWzeKPNM-Ds\" 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><a name=\"1\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=132s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0915\u094d\u092f\u093e \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948 \u0915\u093f \u0918\u091f\u0928\u093e A<\/span><\/strong><\/a> \u0918\u091f\u093f\u0924 \u0939\u094b\u0917\u0940 \u091c\u092c \u092a\u0939\u0932\u0947 \u0938\u0947 \u0939\u0940 \u0918\u091f\u0928\u093e B \u0918\u091f \u091a\u0941\u0915\u0940 \u0939\u0948? \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0936\u093e\u092e\u093f\u0932 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0906\u0917\u0947 \u0939\u092e \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e, \u0907\u0938\u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u0914\u0930 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0947\u0902\u0917\u0947\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0939\u092e \u0928\u093f\u092f\u092e\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \u092e\u093f\u0920\u093e\u0908 \u0916\u093e\u0928\u0947 \u0935\u093e\u0932\u094b\u0902 \u092e\u0947\u0902 \u0926\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0921\u093c\u0928 \u0915\u0940 \u092a\u094d\u0930\u091a\u0932\u093f\u0924\u0924\u093e \u0915\u094b \u092e\u093e\u092a\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0939\u092e <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0947 \u0928\u092e\u0942\u0928\u093e \u0938\u094d\u0925\u093e\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N<\/span> \u0915\u093e \u0928\u093f\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u0907\u0938\u0947 4 \u0909\u092a\u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">A:=\\left\\{  {\u0935\u094d\u092f\u0915\u094d\u0924\u093f\\;\u091c\u093f\u0928\u0915\u0947\\;\u0926\u093e\u0902\u0924\\;\u0938\u0921\u093c\u0947\\;\u0939\u0948\u0902}\\right\\}<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">A^c:=\\left\\{{\u0935\u094d\u092f\u0915\u094d\u0924\u093f\\;\u091c\u093f\u0928\u0915\u0947\\;\u0926\u093e\u0902\u0924\\;\u0928\u0939\u0940\u0902\\;\u0938\u0921\u093c\u0947\\;\u0939\u0948\u0902}\\right\\}<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">B:=\\left\\{  {\u0935\u094d\u092f\u0915\u094d\u0924\u093f\\;\u091c\u094b\\;\u0928\u093f\u092f\u092e\u093f\u0924\\;\u0930\u0942\u092a\\;\u0938\u0947\\;\u092e\u093f\u0920\u093e\u0908\\;\u0916\u093e\u0924\u0947\\;\u0939\u0948\u0902}\\right\\}<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">B^c:=\\left\\{{\u0935\u094d\u092f\u0915\u094d\u0924\u093f\\;\u091c\u094b\\;\u0928\u093f\u092f\u092e\u093f\u0924\\;\u0930\u0942\u092a\\;\u0938\u0947\\;\u092e\u093f\u0920\u093e\u0908\\;\u0928\u0939\u0940\u0902\\;\u0916\u093e\u0924\u0947}\\right\\}<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0938\u0947 \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A\\cup A^c = \\Omega_N<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B\\cup B^c = \\Omega_N<\/span>, \u0932\u0947\u0915\u093f\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">A\\cap B<\/span> \u0906\u0935\u0936\u094d\u092f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0916\u093e\u0932\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u0926\u0943\u0936\u094d\u092f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u091a\u093f\u0924\u094d\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-YZLH9zUJd2g\/YHzyLbaupDI\/AAAAAAAAE6c\/lpdThvvjvvsMYQqqIXelpU-Kcsd-uFWEwCLcBGAsYHQ\/s0\/probabilidad%2Bcondicional%2B1.PNG\" alt=\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\" class=\" aligncenter lazyload\" width=\"339\" height=\"273\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-YZLH9zUJd2g\/YHzyLbaupDI\/AAAAAAAAE6c\/lpdThvvjvvsMYQqqIXelpU-Kcsd-uFWEwCLcBGAsYHQ\/s0\/probabilidad%2Bcondicional%2B1.PNG\" alt=\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\" class=\" aligncenter lazyload\" width=\"339\" height=\"273\" \/><\/noscript><\/p>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=270s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0924\u092c, \u092f\u0926\u093f \u0939\u092e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0915\u094b \u092f\u093e\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/span><\/strong><\/a> \u091c\u0948\u0938\u0947 \u0915\u093f \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e, \u0939\u092e \u0915\u0939 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0915\u093f\u0938\u0940 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0947 \u0926\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0921\u093c\u0928 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e, \u091c\u092c \u092f\u0939 \u0938\u0924\u094d\u092f\u093e\u092a\u093f\u0924 \u0939\u094b \u091a\u0941\u0915\u093e \u0939\u0948 \u0915\u093f \u0935\u0939 \u092e\u093f\u0920\u093e\u0908 \u0916\u093e\u0924\u093e \u0939\u0948, <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u0939\u094b\u0917\u0940:<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) =\\displaystyle \\frac{\\#(A\\cap B)}{\\#B}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0926\u0942\u0938\u0930\u0940 \u0913\u0930, \u092f\u0939 \u0939\u0948:<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B) = \\displaystyle \\frac{\\#(A\\cap B)}{\\#\\Omega_N}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u21b3 <span class=\"katex-eq\" data-katex-display=\"false\">\\#(A\\cap B) = \\#\\Omega_N P(A\\cap B)<\/span>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(B) =\\displaystyle \\frac{\\#B}{\\#\\Omega_N} <\/span>\n<p style=\"text-align: justify; color: #000000;\">\u21b3 <span class=\"katex-eq\" data-katex-display=\"false\">\\#B = \\#\\Omega_N P(B)<\/span>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0932\u093f\u090f \u092f\u0926\u093f \u0939\u092e \u0907\u0928 \u0905\u0902\u0924\u093f\u092e \u0926\u094b \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u092f\u0939 \u0939\u094b\u0917\u093e:<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = \\displaystyle \\frac{\\#\\Omega_N P(A\\cap B)}{\\#\\Omega_N P(B)} = \\frac{P(A\\cap B)}{P(B)} <\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u092c\u0928\u0924\u0940 \u0939\u0948<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #800000;\"><\/p>\n<p><a name=\"2\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/h2>\n<p><strong>\u092a\u0930\u093f\u092d\u093e\u0937\u093e:<\/strong><\/span> <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e, \u092f\u0939 \u0926\u0947\u0916\u0924\u0947 \u0939\u0941\u090f \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0918\u091f\u093f\u0924 \u0939\u094b \u091a\u0941\u0915\u093e \u0939\u0948, <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B),<\/span> \u0915\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u092c\u0902\u0927 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center; color: #000000; background-color: #b0ffb0;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = \\displaystyle \\frac{P(A\\cap B)}{P(B)}<\/span>\u25a0<\/p>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=418s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u094b\u091a \u092e\u0947\u0902<\/span><\/strong><\/a> \u0932\u094b\u0917 <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">P(B|A)<\/span> \u0915\u0947 \u092c\u0940\u091a \u0915\u0941\u091b \u092d\u094d\u0930\u092e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0905\u0902\u0924\u0930 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u090f\u0915 \u091a\u0930\u092e \u092e\u093e\u092e\u0932\u0947 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902: \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u091c\u092c\u0915\u093f \u0938\u092d\u0940 \u092b\u0941\u091f\u092c\u0949\u0932 \u0916\u093f\u0932\u093e\u0921\u093c\u0940 \u0915\u0947 \u0926\u094b \u092a\u0948\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u0915\u0947\u0935\u0932 \u092c\u0939\u0941\u0924 \u0915\u092e \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0926\u094b \u092a\u0948\u0930\u094b\u0902 \u0935\u093e\u0932\u0947 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u092b\u0941\u091f\u092c\u0949\u0932 \u0916\u093f\u0932\u093e\u0921\u093c\u0940 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p><a name=\"3\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=534s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u092e\u093f\u0920\u093e\u0908 \u0915\u0947 \u0909\u092a\u092d\u094b\u0915\u094d\u0924\u093e\u0913\u0902 \u092e\u0947\u0902 \u0926\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0921\u093c\u0928 \u0915\u0940 \u092a\u094d\u0930\u091a\u0932\u093f\u0924\u0924\u093e<\/span><\/strong><\/a> \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u094b \u091c\u093e\u0930\u0940 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f\u0964 \u092f\u0926\u093f \u092e\u093f\u0920\u093e\u0908 \u0915\u093e \u0938\u0947\u0935\u0928 \u0915\u0930\u0928\u0947 \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0926\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0921\u093c\u0928 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0935\u0923 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u092f\u0939 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f \u0915\u093f<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) \\gt P(A).<\/span>\u092f\u0939\u093e\u0902 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0915\u094b \u092c\u0922\u093c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0932\u093f\u090f \u0939\u092e \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u090f\u0915 <strong>\u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u092c\u0902\u0927<\/strong> \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0926\u093f \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u092e\u093f\u0920\u093e\u0908 \u0915\u093e \u0938\u0947\u0935\u0928 \u0915\u0930\u0928\u0947 \u0938\u0947 \u0926\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0921\u093c\u0928 \u0915\u094b \u0930\u094b\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092f\u0939 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f:<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) \\lt P(A).<\/span>\u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0915\u094b \u0930\u094b\u0915\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0932\u093f\u090f \u0939\u092e \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u090f\u0915 <strong>\u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u092c\u0902\u0927<\/strong> \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0914\u0930 \u092f\u0926\u093f \u0907\u0928 \u0926\u094b \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0908 \u0938\u0902\u092c\u0902\u0927 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0928 \u0924\u094b \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0914\u0930 \u0928 \u0939\u0940 \u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915, \u0924\u094b \u092f\u0939 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f \u0915\u093f<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = P(A).<\/span>\u092f\u0939\u093e\u0902 \u0938\u0947 \u092f\u0939 \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u0905\u0927\u093f\u0915\u093e\u0902\u0936 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u0941\u0938\u094d\u0924\u0915\u094b\u0902 \u092e\u0947\u0902 \u092f\u0939 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = P(A)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\equiv<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{P(A\\cap B)}{P(B)} = P(A)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\equiv<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B)= P(A) P(B)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0939 \u0924\u0930\u094d\u0915 \u0939\u092e\u0947\u0902 \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #800000;\"><strong>\u092a\u0930\u093f\u092d\u093e\u0937\u093e:<\/strong><\/span> \u0926\u094b \u0918\u091f\u0928\u093e\u0913\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0915\u094b <strong>\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930<\/strong> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u0935\u0947 \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p style=\"text-align: center; color: #000000; background-color: #b0ffb0;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{black}{P(A\\cap B)= P(A) P(B)}<\/span>\u25a0<\/p>\n<p><a name=\"4\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u0918\u091f\u0928\u093e\u0913\u0902 \u0914\u0930 \u0909\u0928\u0915\u0947 \u092a\u0942\u0930\u0915 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=662s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0926\u094b \u0918\u091f\u0928\u093e\u0913\u0902<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0938\u093e\u092c\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u0915\u0947 \u0938\u093e\u0925 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948, <span class=\"katex-eq\" data-katex-display=\"false\">A^c<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0915\u0947 \u0938\u093e\u0925 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">A^c<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u0915\u0947 \u0938\u093e\u0925 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000080;\"><strong>\u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/strong><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span> <\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B) = P(A)P(B)<\/span><\/td>\n<td>; \u0905\u0928\u0941\u092e\u093e\u0928<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c) = P(A\\setminus B)<\/span><\/td>\n<td>; \u0915\u094d\u092f\u094b\u0902\u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\"> A\\cap B^c := A\\setminus B <\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> \\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\setminus B)= P(A) - P(A\\cap B)<\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u0905\u092d\u094d\u092f\u093e\u0938 2 \u0915\u093e \u0935\u093f\u0915\u093e\u0938 \u0926\u0947\u0916\u0947\u0902<\/a><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A) - P(A\\cap B)<\/span><\/td>\n<td>; (2) \u0914\u0930 (3) \u0938\u0947<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(5)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A) - P(A)P(B)<\/span><\/td>\n<td>; (1) \u0914\u0930 (4) \u0938\u0947<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A)(1 -P(B))<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">P(A)<\/span> \u0926\u094d\u0935\u093e\u0930\u093e \u0917\u0941\u0923\u093e \u0915\u0930\u0915\u0947<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\color{red}{\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A)P(B^c)}<\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u0905\u092d\u094d\u092f\u093e\u0938 1 \u0915\u093e \u0935\u093f\u0915\u093e\u0938 \u0926\u0947\u0916\u0947\u0902<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0939 \u0905\u0902\u0924\u093f\u092e \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u0922\u093c\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948: \u00ab\u0907\u0938 \u0924\u0925\u094d\u092f \u0938\u0947 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902, \u092f\u0939 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u092d\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0909\u0932\u094d\u091f\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A)P(B^c)<\/span><\/td>\n<td>; \u0905\u0928\u0941\u092e\u093e\u0928<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A)(1 - P(B))<\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u0905\u092d\u094d\u092f\u093e\u0938 1 \u0915\u093e \u0935\u093f\u0915\u093e\u0938 \u0926\u0947\u0916\u0947\u0902<\/a><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A) - P(A)P(B)<\/span><\/td>\n<td>; \u0926\u093e\u090f\u0902 \u092a\u0915\u094d\u0937 \u092e\u0947\u0902 \u092a\u0948\u0930\u0947\u0902\u091f\u0947\u0938\u093f\u0938 \u0915\u093e \u0917\u0941\u0923\u0928 \u0915\u0930\u0915\u0947\u0964<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A\\setminus B)<\/span><\/td>\n<td>; \u0915\u094d\u092f\u094b\u0902\u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A\\setminus B := A\\cap B^c<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\setminus B) = P(A) - P(A\\cap B) <\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u0905\u092d\u094d\u092f\u093e\u0938 2 \u0915\u093e \u0935\u093f\u0915\u093e\u0938 \u0926\u0947\u0916\u0947\u0902<\/a><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A) - P(A)P(B) = P(A) - P(A\\cap B) <\/span><\/td>\n<td>; (1), (2) \u0914\u0930 (3) \u0938\u0947<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\color{red}{\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A)P(B) = P(A\\cap B)} <\/span><\/td>\n<td>; \u0938\u092e\u093e\u0928 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0914\u0930 \u092f\u0939 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u0922\u093c\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948: \u00ab\u0907\u0938 \u0924\u0925\u094d\u092f \u0938\u0947 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902, \u092f\u0939 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u092d\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0905\u0902\u0924 \u092e\u0947\u0902, \u0907\u0928 \u0926\u094b \u0924\u0930\u094d\u0915\u094b\u0902 \u0938\u0947 \u092f\u0939 \u0938\u093e\u092c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0915\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u0915\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u093e\u0928\u0924\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0905\u0928\u094d\u092f \u0938\u093e\u092c\u093f\u0924 \u0938\u092e\u093e\u0928\u0924\u093e\u090f\u0902 \u0938\u092e\u093e\u0928 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964 \u092f\u0947 \u092a\u093e\u0920\u0915 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u091a\u0941\u0928\u094c\u0924\u0940 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091b\u094b\u0921\u093c \u0926\u093f\u090f \u091c\u093e\u090f\u0902\u0917\u0947\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0938\u093e\u0930\u093e\u0902\u0936\u0907\u0938 \u0938\u0924\u094d\u0930 \u092e\u0947\u0902, \u0939\u092e \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u092a\u0930\u0938\u094d\u092a\u0930 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u0905\u0928\u094d\u0935\u0947\u0937\u0923 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u092f\u093e \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0915\u094c\u0936\u0932 \u0939\u093e\u0938\u093f\u0932 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902\u0917\u0947, \u091c\u0948\u0938\u0947 \u092e\u093f\u0920\u093e\u0908 \u0915\u0947 \u0909\u092a\u092d\u094b\u0915\u094d\u0924\u093e\u0913\u0902 \u092e\u0947\u0902 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26406,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":1,"footnotes":""},"categories":[577,678],"tags":[],"class_list":["post-26710","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-577","category-678"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964\" \/>\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\/hi\/\u0938\u0936\u0930\u094d\u0924-\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e-\u0914\u0930-\u0918\u091f\u0928\u093e\u0913\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e\" \/>\n<meta property=\"og:description\" content=\"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/hi\/\u0938\u0936\u0930\u094d\u0924-\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e-\u0914\u0930-\u0918\u091f\u0928\u093e\u0913\/\" \/>\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=\"2021-04-19T13:00:33+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-21T20:57:58+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398-1024x285.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e\" \/>\n<meta name=\"twitter:description\" content=\"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398.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=\"6 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e\",\"datePublished\":\"2021-04-19T13:00:33+00:00\",\"dateModified\":\"2024-05-21T20:57:58+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/\"},\"wordCount\":685,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2021\\\/04\\\/condicional-e1712954761398.jpg\",\"articleSection\":[\"\u0917\u0923\u093f\u0924\",\"\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0914\u0930 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/\",\"name\":\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2021\\\/04\\\/condicional-e1712954761398.jpg\",\"datePublished\":\"2021-04-19T13:00:33+00:00\",\"dateModified\":\"2024-05-21T20:57:58+00:00\",\"description\":\"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#primaryimage\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2021\\\/04\\\/condicional-e1712954761398.jpg\",\"contentUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2021\\\/04\\\/condicional-e1712954761398.jpg\",\"width\":1792,\"height\":498},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/hi\\\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e\"}]},{\"@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":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e - toposuranos.com\/material","description":"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964","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\/hi\/\u0938\u0936\u0930\u094d\u0924-\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e-\u0914\u0930-\u0918\u091f\u0928\u093e\u0913\/","og_locale":"es_ES","og_type":"article","og_title":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e","og_description":"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964","og_url":"https:\/\/toposuranos.com\/material\/hi\/\u0938\u0936\u0930\u094d\u0924-\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e-\u0914\u0930-\u0918\u091f\u0928\u093e\u0913\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-04-19T13:00:33+00:00","article_modified_time":"2024-05-21T20:57:58+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398-1024x285.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e","twitter_description":"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964","twitter_image":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"6 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#article","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/"},"author":{"name":"giorgio.reveco","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e","datePublished":"2021-04-19T13:00:33+00:00","dateModified":"2024-05-21T20:57:58+00:00","mainEntityOfPage":{"@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/"},"wordCount":685,"commentCount":0,"publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398.jpg","articleSection":["\u0917\u0923\u093f\u0924","\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0914\u0930 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/","url":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/","name":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e - toposuranos.com\/material","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#primaryimage"},"image":{"@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398.jpg","datePublished":"2021-04-19T13:00:33+00:00","dateModified":"2024-05-21T20:57:58+00:00","description":"\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0915\u0948\u0938\u0947 \u0935\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964","breadcrumb":{"@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#primaryimage","url":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398.jpg","contentUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/04\/condicional-e1712954761398.jpg","width":1792,"height":498},{"@type":"BreadcrumbList","@id":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%b6%e0%a4%b0%e0%a5%8d%e0%a4%a4-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-%e0%a4%94%e0%a4%b0-%e0%a4%98%e0%a4%9f%e0%a4%a8%e0%a4%be%e0%a4%93\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u0938\u0936\u0930\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e"}]},{"@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\/26710","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=26710"}],"version-history":[{"count":0,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/26710\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/26406"}],"wp:attachment":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=26710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=26710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=26710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}