{"id":25519,"date":"2023-07-15T00:00:26","date_gmt":"2023-07-15T00:00:26","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25519"},"modified":"2024-05-21T09:41:53","modified_gmt":"2024-05-21T09:41:53","slug":"%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/","title":{"rendered":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/h1>\n<p><\/p>\n<p class=\"eq\"><em><strong>\u0645\u0644\u062e\u0635:<\/strong> \u064a\u0637\u0631\u062d \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0623\u0646 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u060c \u0644\u0643\u0646 \u0628\u0637\u0631\u064a\u0642\u0629 \u062a\u062c\u0639\u0644 \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a\u0629 \u062b\u0627\u0628\u062a\u0629. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633 \u0633\u0646\u0642\u062f\u0645 \u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a \u0648\u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u062a\u064a \u062a\u062a\u064a\u062d \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0644\u0627\u062d\u0638\u0647\u0627 \u0645\u0631\u0627\u062c\u0639 \u0642\u0635\u0648\u0631\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u0641\u064a \u0633\u064a\u0627\u0642\u0627\u062a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629.<\/br><\/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\u0628\u0639\u062f \u0627\u0646\u062a\u0647\u0627\u0621 \u0647\u0630\u0647 \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>\u0648\u0635\u0641<\/strong> \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0648\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0642\u0635\u0648\u0631.<\/li>\n<li><strong>\u0634\u0631\u062d<\/strong> \u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a \u0641\u064a \u0633\u064a\u0627\u0642 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0648\u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0648\u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0644\u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0628\u0633\u064a\u0637\u0629 \u0648\u0625\u0638\u0647\u0627\u0631 \u0643\u064a\u0641 \u062a\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0628\u064a\u0646 \u0625\u0637\u0627\u0631\u0627\u062a \u0642\u0635\u0648\u0631\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629.<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u0641\u0647\u0631\u0633<\/strong><br \/>\n<a href=\"#1\"><strong>\u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629<\/strong><\/a><br \/>\n<a href=\"#3\">\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629<\/a><br \/>\n<a href=\"#4\">\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0648\u062c\u0627\u0644\u064a\u0644\u064a\u0648<\/a><br \/>\n<a href=\"#5\"><strong>\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/strong><\/a>\n<\/p>\n<p><\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/Z1IWvfnSNe8?si=VxQeeMn9VC8NhFi_\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 \u064a\u0648\u062a\u064a\u0648\u0628\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a<\/h2>\n<p>\u0639\u0646\u062f \u0645\u0645\u0627\u0631\u0633\u0629 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u064a\u0645\u0643\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0645\u0631\u062c\u0639\u064a \u0627\u0644\u0630\u064a \u0633\u064a\u062a\u0645 \u0645\u0646 \u062e\u0644\u0627\u0644\u0647 \u0642\u064a\u0627\u0633 \u0627\u0644\u0623\u062d\u062f\u0627\u062b\u060c \u0648\u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062e\u062a\u0644\u0641 \u0647\u0630\u0647 \u0627\u0644\u0623\u0637\u0631 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629. \u0645\u0646 \u0628\u064a\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0637\u0631 \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0645\u0645\u0643\u0646\u0629\u060c \u0647\u0646\u0627\u0643 \u0641\u0626\u0629 \u062e\u0627\u0635\u0629 \u062a\u0645\u0643\u0646\u0646\u0627 \u0645\u0646 \u0645\u0645\u0627\u0631\u0633\u0629 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0643\u0645\u0627 \u0646\u0639\u0631\u0641\u0647\u0627\u060c \u0648\u0647\u064a <strong>\u0627\u0644\u0623\u0637\u0631 \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629.<\/strong> \u064a\u0642\u0627\u0644 \u0625\u0646 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0645\u0631\u062c\u0639\u064a \u0642\u0635\u0648\u0631\u064a \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0645 \u0641\u064a\u0647 \u062a\u062d\u0642\u064a\u0642 <strong>\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0623\u0648\u0644 \u0644\u0646\u064a\u0648\u062a\u0646\u060c<\/strong> \u0627\u0644\u0630\u064a \u064a\u0646\u0635 \u0639\u0644\u0649 \u0623\u0646\u0647 \u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u062e\u0627\u0631\u062c\u064a\u0629\u060c \u062a\u062d\u0627\u0641\u0638 \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a \u0639\u0644\u0649 \u062d\u0627\u0644\u0629 \u062d\u0631\u0643\u062a\u0647\u0627 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{dx^2}{dt^2} = \\frac{dy^2}{dt^2} = \\frac{dz^2}{dt^2} = 0.<\/span>\n<p>\u0645\u0646 \u0647\u0630\u0627 \u064a\u062a\u0628\u0639 \u0623\u0646\u0647\u060c \u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0642\u0635\u0648\u0631\u064a\u064a\u0646\u060c \u0641\u0625\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0641\u064a:<\/p>\n<ul>\n<li>\u0627\u0646\u062a\u0642\u0627\u0644\u060c<\/li>\n<li>\u062f\u0648\u0631\u0627\u0646\u060c<\/li>\n<li>\u062d\u0631\u0643\u0629 \u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0625\u0637\u0627\u0631\u064a\u0646 \u0628\u0633\u0631\u0639\u0629 \u062b\u0627\u0628\u062a\u0629.<\/li>\n<\/ul>\n<p>\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a \u0623\u0633\u0627\u0633\u064a \u0644\u0640<strong>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c<\/strong> \u0627\u0644\u0630\u064a \u064a\u0646\u0635 \u0639\u0644\u0649 \u0623\u0646 \u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u062a\u062d\u062a\u0641\u0638 \u0628\u0646\u0641\u0633 \u0627\u0644\u0634\u0643\u0644 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0637\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629. \u064a\u0646\u0637\u0628\u0642 \u0647\u0630\u0627 \u0627\u0644\u0645\u0628\u062f\u0623 \u0628\u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0633\u0648\u0627\u0621 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0623\u0648 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629<\/h3>\n<p>\u062a\u062e\u062a\u0644\u0641 \u0627\u0644\u0648\u0635\u0641\u0627\u062a \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0641\u064a \u0643\u064a\u0641\u064a\u0629 \u062a\u0639\u0627\u0645\u0644\u0647\u0627 \u0645\u0639 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u062d\u062f\u062b \u0645\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0646\u0638\u0627\u0645 \u0645\u0631\u062c\u0639\u064a \u0642\u0635\u0648\u0631\u064a\u060c \u0648\u0643\u064a\u0641\u064a\u0629 \u0627\u0631\u062a\u0628\u0627\u0637\u0647\u0627 \u0628\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0646\u0638\u0627\u0645 \u0645\u0631\u062c\u0639\u064a \u0642\u0635\u0648\u0631\u064a \u0622\u062e\u0631.<\/p>\n<p>\u0644\u0646\u0623\u062e\u0630 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0646\u0638\u0627\u0645\u064a\u0646 \u0645\u0631\u062c\u0639\u064a\u064a\u0646 \u0642\u0635\u0648\u0631\u064a\u064a\u0646 \u0643\u0627\u0631\u062a\u064a\u0632\u064a\u064a\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0641\u064a \u00ab\u062a\u0643\u0648\u064a\u0646 \u0642\u064a\u0627\u0633\u064a\u00bb\u060c \u0623\u064a \u062d\u064a\u062b \u064a\u062a\u062d\u0631\u0643 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0639\u0644\u0649 \u0637\u0648\u0644 \u0645\u062d\u0648\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u0644\u0640 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0628\u0633\u0631\u0639\u0629 \u062b\u0627\u0628\u062a\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_{ss^\\prime} = v_{ss^\\prime_x} \\hat{x}<\/span> \u0648\u062a\u0643\u0648\u0646 \u0645\u062d\u0627\u0648\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0648\u0645\u062a\u0637\u0627\u0628\u0642\u0629 \u0641\u064a <span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime = 0<\/span>.<\/p>\n<figure>\n<img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" srcset=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png 1374w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-300x162.png 300w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-1024x552.png 1024w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-768x414.png 768w\" sizes=\"(max-width: 1374px) 100vw, 1374px\" \/><\/noscript><br \/>\n<\/figure>\n<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0646\u0627\u0643 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062e\u0637\u064a\u0629 \u062a\u0631\u0628\u0637 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u062d\u062f\u062b \u0645\u0639\u064a\u0646 \u064a\u064f\u0631\u0649 \u0645\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u060c \u0641\u0625\u0646\u0647\u0627 \u062a\u0643\u0648\u0646 \u0645\u0631\u062a\u0628\u0637\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629<\/p>\n<p><a name=\"eq1\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= At + Bx,\\\\\n\nx^\\prime &amp;= Dt + Ex,\\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;=z,\n\n\\end{array}\\;\\;\\;[\\triangle]<\/span>\n<p>\u062d\u064a\u062b \u0623\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">B,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0647\u064a \u062b\u0648\u0627\u0628\u062a \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f\u0647\u0627.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629<\/h3>\n<p>\u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0625\u0630\u0627 \u0623\u062e\u0630\u0646\u0627 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul>\n<li>\n<p>\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u064a\u062c\u0628 \u0623\u0646 \u062a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 \u0623\u064a <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime<\/span>\u060c \u0641\u0625\u0630\u0627 \u0648\u0636\u0639\u0646\u0627 \u0627\u0644\u062d\u062f\u062b \u0641\u0648\u0642 \u0623\u0635\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u060c \u0633\u064a\u0643\u0648\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime =0<\/span>. \u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062d\u062f\u062b \u0633\u064a\u062a\u062d\u0631\u0643 \u0645\u0639 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0648\u0645\u0648\u0642\u0639\u0647 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0633\u064a\u0643\u0648\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">x=v_{{ss^\\prime}_x}t.<\/span>\n<p>\u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">x=v_{{ss^\\prime}_x}t.<\/span> \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u0646 <a href=\"#eq1\"><span class=\"katex-eq\" data-katex-display=\"false\">[\\triangle]<\/span><\/a> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <span class=\"katex-eq\" data-katex-display=\"false\">D=-Ev_{{ss^\\prime}_x}.<\/span>\n<p>\u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u062a\u0646\u0637\u0628\u0642 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 \u0623\u064a <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span>\u060c \u0644\u0630\u0627 \u0625\u0630\u0627 \u0648\u0636\u0639\u0646\u0627 \u0627\u0644\u062d\u062f\u062b \u0641\u0648\u0642 \u0623\u0635\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u060c \u0641\u0645\u0646 \u0648\u062c\u0647\u0629 \u0646\u0638\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u060c \u0633\u064a\u0643\u0648\u0646 \u0645\u0648\u0642\u0639\u0647 <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = -v_{{ss^\\prime}_x}t^\\prime<\/span>.<\/p>\n<p>\u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0647\u0630\u0627 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0648\u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u0646 <a href=\"#eq1\"><span class=\"katex-eq\" data-katex-display=\"false\">[\\triangle]<\/span><\/a> \u0646\u0635\u0644 \u0625\u0644\u0649 \u0623\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">t^\\prime=At<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">-v_{{ss^\\prime}_x}t^\\prime =Dt<\/span>. \u0628\u0642\u0633\u0645\u0629 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">D=-v_{{ss^\\prime}_x}A<\/span>.<\/p>\n<\/li>\n<li>\n<p>\u0648\u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0627\u0644\u0648\u0633\u064a\u0644\u0629 \u0627\u0644\u0648\u062d\u064a\u062f\u0629 \u0644\u0644\u062a\u0648\u0641\u064a\u0642 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0647\u064a \u0627\u0641\u062a\u0631\u0627\u0636 \u0623\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A=E,<\/span>\u060c \u0648\u0628\u0630\u0644\u0643 \u062a\u0635\u0628\u062d \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= At + Bx,\\\\\n\nx^\\prime &amp;= A(x - v_{ss^\\prime_x} t), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\\;\\;\\;[2]<\/span>\n<\/li>\n<\/ul>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0648\u062c\u0627\u0644\u064a\u0644\u064a\u0648<\/h3>\n<p>\u0641\u064a \u062d\u0627\u0644\u0629 \u0641\u064a\u0632\u064a\u0627\u0621 \u0646\u064a\u0648\u062a\u0646 \u0644\u062f\u064a\u0646\u0627 \u0646\u0633\u0628\u064a\u0629 \u062c\u0627\u0644\u064a\u0644\u064a\u0648\u060c \u062d\u064a\u062b \u064a\u0645\u0631 \u0627\u0644\u0648\u0642\u062a \u0628\u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629 \u0648\u0644\u0630\u0644\u0643 <span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime.<\/span> \u0646\u062a\u064a\u062c\u0629 \u0644\u0630\u0644\u0643\u060c \u064a\u0643\u0648\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A=1<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">B=0.<\/span> \u0647\u0630\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 <strong>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648<\/strong> \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0628\u064a\u0646 \u0625\u0637\u0627\u0631\u064a\u0646 \u0645\u0631\u062c\u0639\u064a\u064a\u0646 \u0642\u0635\u0648\u0631\u064a\u064a\u0646<\/p>\n<p><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= t\\\\\n\nx^\\prime &amp;= x - v_{ss^\\prime_x} t, \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\\;\\;\\;[3]<\/span>\n<\/li>\n<\/ul>\n<p>\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062f\u064a\u0646\u0627 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0623\u064a\u0646\u0634\u062a\u0627\u064a\u0646\u060c \u0627\u0644\u0630\u064a \u064a\u0639\u062a\u0628\u0631 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0630\u0644\u0643 \u0623\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0641\u064a \u0627\u0644\u0641\u0631\u0627\u063a \u0647\u064a \u0646\u0641\u0633\u0647\u0627 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629. \u0647\u0630\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 <strong>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632<\/strong> \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0648\u0627\u0644\u062a\u064a \u0633\u0646\u0631\u0649 \u0641\u064a \u0645\u062f\u0627\u062e\u0644\u0627\u062a \u0644\u0627\u062d\u0642\u0629\u060c \u062a\u0623\u062e\u0630 \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nct^\\prime &amp;=\\gamma_x \\left( ct - \\beta_x x \\right) \\\\\n\nx^\\prime &amp;= \\gamma_x(x - \\beta_x ct) \\\\\n\ny^\\prime &amp;= y \\\\\n\nz^\\prime &amp;= z\n\n\\end{array}\n\n<\/span>\n<p>\u062d\u064a\u062b <span class=\"katex-eq\" data-katex-display=\"false\">\\beta_x=v_{ss^\\prime_x}\/c<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma= 1\/\\sqrt{1-\\beta_x^2}.<\/span>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/h2>\n<p>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0627 \u064a\u064f\u062d\u062f\u062b \u062b\u0648\u0631\u0629 \u0641\u064a \u0641\u0647\u0645\u0646\u0627 \u0644\u0644\u0643\u0648\u0646 \u0641\u062d\u0633\u0628\u060c \u0628\u0644 \u064a\u062a\u062d\u062f\u0649 \u0623\u064a\u0636\u064b\u0627 \u0623\u0643\u062b\u0631 \u0625\u062f\u0631\u0627\u0643\u0627\u062a\u0646\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u062d\u0648\u0644 \u0627\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646. \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629\u060c \u0631\u0623\u064a\u0646\u0627 \u0643\u064a\u0641 \u062a\u062d\u0627\u0641\u0638 \u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0639\u0644\u0649 \u0634\u0643\u0644\u0647\u0627 \u0627\u0644\u062b\u0627\u0628\u062a\u060c \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u060c \u0633\u0648\u0627\u0621 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0623\u0648 \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629. \u062a\u0648\u0636\u062d \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0648\u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0628\u0637\u0631\u064a\u0642\u0629 \u0641\u0631\u064a\u062f\u0629 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0648\u0627\u0644\u0639\u0645\u064a\u0642\u0629 \u0628\u064a\u0646 \u0647\u0630\u064a\u0646 \u0627\u0644\u0645\u0646\u0647\u062c\u064a\u0646. \u0647\u0630\u0627 \u0627\u0644\u0645\u0628\u062f\u0623\u060c \u0627\u0644\u0630\u064a \u064a\u0642\u0639 \u0641\u064a \u0642\u0644\u0628 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u062d\u062f\u064a\u062b\u0629\u060c \u0644\u064a\u0633 \u0623\u0633\u0627\u0633\u064a\u064b\u0627 \u0644\u0644\u0641\u0647\u0645 \u0627\u0644\u0646\u0638\u0631\u064a \u0644\u0644\u0638\u0648\u0627\u0647\u0631 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a\u0629 \u0641\u062d\u0633\u0628\u060c \u0628\u0644 \u0623\u064a\u0636\u064b\u0627 \u0644\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062a\u0631\u0627\u0648\u062d \u0645\u0646 \u062a\u0642\u0646\u064a\u0629 \u0646\u0638\u0627\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u0639\u0627\u0644\u0645\u064a (GPS) \u0625\u0644\u0649 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0641\u0636\u0627\u0621. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0641\u0643 \u062a\u0639\u0642\u064a\u062f\u0627\u062a \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0646\u0642\u062a\u0631\u0628 \u062e\u0637\u0648\u0629 \u0623\u062e\u0631\u0649 \u0645\u0646 \u0641\u0647\u0645 \u0627\u0644\u0646\u0633\u064a\u062c \u0627\u0644\u0645\u0639\u0642\u062f \u0644\u0644\u0643\u0648\u0646 \u0648\u0645\u0643\u0627\u0646\u0646\u0627 \u0641\u064a\u0647.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0645\u0644\u062e\u0635: \u064a\u0637\u0631\u062d \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0623\u0646 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u060c \u0644\u0643\u0646 \u0628\u0637\u0631\u064a\u0642\u0629 \u062a\u062c\u0639\u0644 \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a\u0629 \u062b\u0627\u0628\u062a\u0629. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633 \u0633\u0646\u0642\u062f\u0645 \u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a \u0648\u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u062a\u064a \u062a\u062a\u064a\u062d \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0644\u0627\u062d\u0638\u0647\u0627 \u0645\u0631\u0627\u062c\u0639 \u0642\u0635\u0648\u0631\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u0641\u064a \u0633\u064a\u0627\u0642\u0627\u062a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0646\u064a\u0648\u062a\u0648\u0646\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629. \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645: \u0628\u0639\u062f \u0627\u0646\u062a\u0647\u0627\u0621 \u0647\u0630\u0647 \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: \u0648\u0635\u0641 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":25506,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":5,"footnotes":""},"categories":[641,697],"tags":[],"class_list":["post-25519","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-641","category-697"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/ar\/\u0645\u0628\u062f\u0623-\u0627\u0644\u0646\u0633\u0628\u064a\u0629-\u0627\u0644\u062e\u0627\u0635\u0629\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629\" \/>\n<meta property=\"og:description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/ar\/\u0645\u0628\u062f\u0623-\u0627\u0644\u0646\u0633\u0628\u064a\u0629-\u0627\u0644\u062e\u0627\u0635\u0629\/\" \/>\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=\"2023-07-15T00:00:26+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-21T09:41:53+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629\" \/>\n<meta name=\"twitter:description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.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=\"4 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#article\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629\",\"datePublished\":\"2023-07-15T00:00:26+00:00\",\"dateModified\":\"2024-05-21T09:41:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/\"},\"wordCount\":316,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/RELATIVIDAD-ESPECIAL.jpg\",\"articleSection\":[\"\u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\",\"\u0627\u0644\u0646\u0633\u0628\u064a\u0629\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/\",\"name\":\"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#primaryimage\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/RELATIVIDAD-ESPECIAL.jpg\",\"datePublished\":\"2023-07-15T00:00:26+00:00\",\"dateModified\":\"2024-05-21T09:41:53+00:00\",\"description\":\"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.\",\"breadcrumb\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#primaryimage\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/RELATIVIDAD-ESPECIAL.jpg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/RELATIVIDAD-ESPECIAL.jpg\",\"width\":1792,\"height\":1024},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/ar\\\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\\\/material\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/groups\\\/toposuranos\",\"https:\\\/\\\/x.com\\\/topuranos\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/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\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 - toposuranos.com\/material","description":"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/ar\/\u0645\u0628\u062f\u0623-\u0627\u0644\u0646\u0633\u0628\u064a\u0629-\u0627\u0644\u062e\u0627\u0635\u0629\/","og_locale":"es_ES","og_type":"article","og_title":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629","og_description":"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.","og_url":"http:\/\/toposuranos.com\/material\/ar\/\u0645\u0628\u062f\u0623-\u0627\u0644\u0646\u0633\u0628\u064a\u0629-\u0627\u0644\u062e\u0627\u0635\u0629\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2023-07-15T00:00:26+00:00","article_modified_time":"2024-05-21T09:41:53+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629","twitter_description":"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"4 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629","datePublished":"2023-07-15T00:00:26+00:00","dateModified":"2024-05-21T09:41:53+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/"},"wordCount":316,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.jpg","articleSection":["\u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621","\u0627\u0644\u0646\u0633\u0628\u064a\u0629"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/","url":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/","name":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.jpg","datePublished":"2023-07-15T00:00:26+00:00","dateModified":"2024-05-21T09:41:53+00:00","description":"\u0627\u0643\u062a\u0634\u0641 \u0623\u0633\u0631\u0627\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u0644 \u062a\u0635\u0648\u0631\u0646\u0627 \u0644\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.jpg","width":1792,"height":1024},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%a8%d8%af%d8%a3-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a%d8%a9-%d8%a7%d9%84%d8%ae%d8%a7%d8%b5%d8%a9\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/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":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25519","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=25519"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25519\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/25506"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=25519"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=25519"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=25519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}