{"id":25667,"date":"2022-07-18T00:00:14","date_gmt":"2022-07-18T00:00:14","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25667"},"modified":"2024-05-21T09:42:21","modified_gmt":"2024-05-21T09:42:21","slug":"%d8%aa%d8%ad%d9%88%d9%8a%d9%84%d8%a7%d8%aa-%d9%84%d9%88%d8%b1%d9%86%d8%aa%d8%b2-%d9%81%d9%8a-%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":"https:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%ad%d9%88%d9%8a%d9%84%d8%a7%d8%aa-%d9%84%d9%88%d8%b1%d9%86%d8%aa%d8%b2-%d9%81%d9%8a-%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":"\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0641\u064a \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>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629<\/h1>\n<p class=\"eq\"><em><strong>\u0627\u0644\u0645\u0644\u062e\u0635:<\/strong><br \/>\n\u062a\u0633\u0645\u062d \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u0631\u0635\u0648\u062f\u0629 \u0644\u0644\u0645\u0643\u0627\u0646 \u0648\u0627\u0644\u0632\u0645\u0627\u0646 \u0628\u064a\u0646 \u0625\u0637\u0627\u0631\u064a\u0646 \u0645\u0631\u062c\u0639\u064a\u064a\u0646 \u0642\u0635\u0648\u0631\u064a\u064a\u0646. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629\u060c \u0633\u0646\u0631\u0627\u062c\u0639 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0643\u062a\u062d\u0648\u064a\u0644 \u062e\u0637\u064a \u0644\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u060c \u064a\u0646\u0634\u0623 \u0645\u0646 \u0627\u0639\u062a\u0628\u0627\u0631 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u062b\u0627\u0628\u062a\u0629 \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 \u0648\u062a\u0642\u0627\u0631\u0628\u0647\u0627 \u0645\u0639 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0639\u0646\u062f \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u064a\u0631\u0629 \u0645\u0642\u0627\u0631\u0646\u0629\u064b \u0628\u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621.<\/br><\/em><\/p>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n\u0639\u0646\u062f \u0627\u0646\u062a\u0647\u0627\u0621 \u0647\u0630\u0627 \u0627\u0644\u0641\u0635\u0644\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:<\/p>\n<ol>\n<li><strong>\u062a\u0645\u064a\u064a\u0632<\/strong> \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629\u060c \u0645\u062b\u0644 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632\u060c \u0648\u00bb\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0633\u0631\u0639\u0629\u00bb \u0648\u00bb\u0639\u0627\u0645\u0644 \u0644\u0648\u0631\u0646\u062a\u0632\u00bb.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0643\u064a\u0641 \u064a\u0624\u062b\u0631 \u0645\u0628\u062f\u0623 \u062b\u0628\u0627\u062a \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \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 \u0639\u0644\u0649 \u0625\u062f\u0631\u0627\u0643 \u0627\u0644\u0632\u0645\u0627\u0646 \u0648\u0627\u0644\u0645\u0643\u0627\u0646.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0639\u0644\u0649 \u0645\u0648\u0627\u0642\u0641 \u0645\u0644\u0645\u0648\u0633\u0629\u060c \u0645\u062b\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \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\u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0641\u064a \u0645\u0631\u0627\u062c\u0639 \u0645\u062e\u062a\u0644\u0641\u0629.<\/li>\n<li><strong>\u062f\u0645\u062c<\/strong> \u0627\u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0628\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0644\u0641\u0647\u0645 \u0643\u064a\u0641 \u062a\u0639\u0645\u0645 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0648\u062a\u062a\u0642\u0627\u0631\u0628 \u0645\u0639\u0647\u0627.<\/li>\n<li><strong>\u062a\u062d\u0644\u064a\u0644<\/strong> \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0625\u0644\u0649 \u0645\u0643\u0648\u0646\u0627\u062a\u0647\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u0645\u062b\u0644 \u062b\u0628\u0627\u062a \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0648\u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a.<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u0627\u0644\u0641\u0647\u0631\u0633<\/strong><br \/>\n<a href=\"#1\"><strong>\u0627\u0639\u062a\u0628\u0627\u0631\u0627\u062a \u062c\u062f\u064a\u062f\u0629<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632<\/strong><\/a><br \/>\n<a href=\"#3\">\u0645\u0631\u0627\u062c\u0639\u0629 \u062d\u0648\u0644 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a (\u0627\u0644\u062e\u0637\u064a\u0629) \u0644\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a<\/a><br \/>\n<a href=\"#4\">\u0625\u062f\u062e\u0627\u0644 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0643\u062b\u0627\u0628\u062a\u0629 \u0639\u0627\u0644\u0645\u064a\u0629<\/a><br \/>\n<a href=\"#5\">\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0633\u0631\u0639\u0629 \u0648\u0639\u0627\u0645\u0644 \u0644\u0648\u0631\u0646\u062a\u0632<\/a><br \/>\n<a href=\"#6\">\u062a\u0631\u0643\u064a\u0628 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632<\/a><br \/>\n<a href=\"#7\"><strong>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u062a\u0639\u0645\u0645 \u0648\u062a\u062a\u0642\u0627\u0631\u0628 \u0645\u0639 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648<\/strong><\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/KQby8yJGTSA\" 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\" allowfullscreen><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0627\u0639\u062a\u0628\u0627\u0631\u0627\u062a \u062c\u062f\u064a\u062f\u0629<\/h2>\n<p style=\"text-align:justify;\">\u0643\u0646\u062a\u064a\u062c\u0629 \u0644\u0645\u0627 \u062a\u0645 \u0645\u0634\u0627\u0647\u062f\u062a\u0647 \u0641\u064a <a href=\"http:\/\/toposuranos.com\/material\/ar\/%d8%b3%d8%b1%d8%b9%d8%a9-%d8%a7%d9%84%d8%b6%d9%88%d8%a1-%d9%88%d8%a7%d9%84%d9%85%d9%88%d8%ac%d8%a7%d8%aa-%d8%a7%d9%84%d9%83%d9%87%d8%b1%d9%88%d9%85%d8%ba%d9%86%d8%a7%d8%b7%d9%8a%d8%b3%d9%8a%d8%a9\/\" rel=\"noopener\" target=\"_blank\">\u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0627\u0644\u0643\u0647\u0631\u0648\u0645\u063a\u0646\u0627\u0637\u064a\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0631\u0627\u063a<\/a>\u060c \u064a\u064f\u0637\u0631\u062d \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0643\u0645\u0628\u062f\u0623 \u0623\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 <bdi><\/bdi><span class=\"katex-eq\" data-katex-display=\"false\">c<\/span> \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. \u0644\u0643\u0646 \u0647\u0630\u0627 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636 \u0644\u064a\u0633 \u0628\u062f\u0648\u0646 \u062a\u0628\u0639\u0627\u062a\u060c \u0625\u0630 \u064a\u062d\u0645\u0644 \u0627\u0644\u0622\u062b\u0627\u0631 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li>\u064a\u062c\u0628 \u0627\u0644\u062a\u062e\u0644\u064a \u0639\u0646 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0643\u0648\u0633\u064a\u0644\u0629 \u0635\u0627\u0644\u062d\u0629 \u0644\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0645\u0646 \u0625\u0637\u0627\u0631 \u0645\u0631\u062c\u0639\u064a \u0642\u0635\u0648\u0631\u064a \u0625\u0644\u0649 \u0622\u062e\u0631.<\/li>\n<li>\u064a\u062c\u0628 \u0627\u0644\u062a\u062e\u0644\u064a \u0639\u0646 \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u062d\u062f\u0633\u064a\u0629 \u0628\u0623\u0646 \u0627\u0644\u0632\u0645\u0646 \u064a\u062a\u062f\u0641\u0642 \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.<\/li>\n<\/ol>\n<p style=\"text-align:justify;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631\u0627\u062a\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <strong>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632\u060c<\/strong> \u0627\u0644\u062a\u064a \u062a\u0639\u0645\u0644 \u0643\u062a\u0635\u062d\u064a\u062d \u0648\u062a\u0639\u0645\u064a\u0645 \u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648\u060c \u0648\u0643\u0630\u0644\u0643 \u062a\u0643\u0648\u0646 \u0635\u0627\u0644\u062d\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0643\u0647\u0631\u0648\u0645\u063a\u0646\u0627\u0637\u064a\u0633\u064a\u0629.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632<\/h2>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u0645\u0631\u0627\u062c\u0639\u0629 \u062d\u0648\u0644 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a (\u0627\u0644\u062e\u0637\u064a\u0629) \u0644\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a<\/h3>\n<p style=\"text-align:justify;\">\u0644\u0646\u0623\u062e\u0630 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0625\u0637\u0627\u0631\u064a\u0646 \u0642\u0635\u0648\u0631\u064a\u064a\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi> \u0641\u064a \u062a\u0643\u0648\u064a\u0646 \u0642\u064a\u0627\u0633\u064a \u0628\u062d\u064a\u062b \u064a\u062a\u062d\u0631\u0643 \u0627\u0644\u0623\u0635\u0644 \u0627\u0644\u062b\u0627\u0646\u064a \u0628\u0633\u0631\u0639\u0629 \u062b\u0627\u0628\u062a\u0629 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_0 = v_{x_0}\\hat{x}<\/span><\/bdi> \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0623\u0635\u0644 \u0627\u0644\u0623\u0648\u0644. \u0645\u0627 \u0633\u0646\u0642\u0648\u0645 \u0628\u0647 \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0647\u0648 \u0625\u062b\u0628\u0627\u062a \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u062d\u062f\u062b \u0645\u0627 \u064a\u064f\u0631\u0649 \u0645\u0646 \u0646\u0638\u0627\u0645\u064a\u0646 \u0642\u0635\u0648\u0631\u064a\u064a\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi> \u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u062a\u062d\u0648\u064a\u0644 \u062e\u0637\u064a \u0643\u0645\u0627 \u0647\u0648 \u0645\u0630\u0643\u0648\u0631 \u0641\u064a <a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/\" rel=\"noopener\" target=\"_blank\">\u0645\u0628\u062f\u0623 \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/a> (\u062a\u062d\u062f\u064a\u062f\u064b\u0627\u060c <a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/#eq2\" rel=\"noopener\" target=\"_blank\">\u0647\u0630\u0647 \u0627\u0644\u062a\u0639\u0628\u064a\u0631<\/a>) \u0648\u0646\u0642\u0628\u0644 \u062d\u0642\u064a\u0642\u0629 \u0623\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0647\u064a \u0646\u0641\u0633\u0647\u0627 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629\u060c \u0641\u0625\u0646 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u064a\u062a\u0648\u0627\u0641\u0642 \u0628\u0634\u0643\u0644 \u062f\u0642\u064a\u0642 \u0645\u0639 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0627\u0644\u062a\u064a \u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0644\u0627\u062d\u0642\u064b\u0627.\n<\/p>\n<p><center><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=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png 1374w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-300x162.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-1024x552.png 1024w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-768x414.png 768w\" sizes=\"(max-width: 1374px) 100vw, 1374px\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align:justify;\">\u0641\u064a \u0627\u0644\u0623\u0633\u0627\u0633\u060c \u062a\u0631\u062a\u0628\u0637 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(t,x)<\/span><\/bdi> \u0644\u062d\u062f\u062b \u064a\u064f\u0631\u0649 \u0645\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi>\u060c \u0648\u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(t^\\prime, x^\\prime)<\/span><\/bdi> \u0644\u0646\u0641\u0633 \u0627\u0644\u062d\u062f\u062b \u064a\u064f\u0631\u0649 \u0645\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi> \u0627\u0644\u0630\u064a \u064a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">v_{v}=v_{x_0}\\hat{x}<\/span><\/bdi> \u0646\u0633\u0628\u0629\u064b \u0625\u0644\u0649 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S,<\/span><\/bdi> \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0648\u064a\u0644 \u062e\u0637\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p><a name=\"eq1\"><\/a><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{llr} t^\\prime &amp;= At + Bx, &amp; [1]\\\\ x^\\prime &amp;= Dt + Ex &amp; [2]  \\end{array} <\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u062d\u064a\u062b <bdi><span class=\"katex-eq\" data-katex-display=\"false\">A, B, C<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/bdi> \u0647\u064a \u062b\u0648\u0627\u0628\u062a \u064a\u062a\u0639\u064a\u0646 \u062d\u0644\u0647\u0627 \u0648\u062a\u0645 \u0627\u0633\u062a\u0628\u0639\u0627\u062f \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">y<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">z<\/span><\/bdi> \u0644\u0644\u062a\u0628\u0633\u064a\u0637 (\u062f\u0648\u0646 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0639\u0645\u0648\u0645\u064a\u0629).<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u0625\u062f\u062e\u0627\u0644 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0643\u062b\u0627\u0628\u062a\u0629 \u0639\u0627\u0644\u0645\u064a\u0629<\/h3>\n<p style=\"text-align:justify;\">\u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062b\u0648\u0627\u0628\u062a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">A, B, D<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">E<\/span><\/bdi> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u062c\u062f\u064a\u062f\u0629 \u0628\u0627\u0644\u0627\u0633\u062a\u0639\u0627\u0646\u0629 \u0628\u0628\u0639\u0636 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629. \u0623\u0648\u0644\u0627\u064b\u060c \u0639\u0644\u064a\u0646\u0627 \u0623\u0646 \u0646\u0636\u0639 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0623\u0646 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u0639\u0628\u0631 \u0639\u0646\u0647 \u0645\u0646 \u062e\u0644\u0627\u0644 <a href=\"#eq1\">[1]<\/a> \u0648 <a href=\"#eq2\">[2]<\/a> \u064a\u062c\u0628 \u0623\u0646 \u064a\u0639\u0645\u0644 \u062f\u0627\u0626\u0645\u064b\u0627\u060c \u0648\u0646\u062a\u064a\u062c\u0629 \u0644\u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0639\u0645\u0644 \u0641\u064a \u0643\u0644 \u062d\u0627\u0644\u0629 \u062e\u0627\u0635\u0629\u060c \u0648\u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629 \u0647\u064a \u0645\u0627 \u0633\u064a\u062a\u0645 \u0630\u0643\u0631\u0647 \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0644\u0644\u062a\u062d\u0642\u064a\u0642 \u0641\u064a \u0634\u0643\u0644\u0647\u0627:<\/p>\n<ul>\n<li>\n<p><strong>\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u062d\u062f\u062b \u064a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621:<\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0647\u0630\u0627 \u0627\u0644\u062d\u062f\u062b \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(t,x)<\/span><\/bdi> \u064a\u064f\u0631\u0649 \u0645\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(t^\\prime, x^\\prime)<\/span><\/bdi> \u064a\u064f\u0631\u0649 \u0645\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime,<\/span><\/bdi> \u0641\u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u062d\u0642\u0642 \u0627\u0644\u0639\u0644\u0627\u0642\u0629:<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{x^2}{t^2} = c^2 = \\frac{{x^\\prime}^2}{{t^\\prime}^2}.<\/span><\/bdi><\/p>\n<p>\u0648\u0645\u0646 \u0647\u0630\u0627 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646<\/p>\n<p><a name=\"eq3\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">c^2 t^2 - x^2 = c^2{t^\\prime}^2 - {x^\\prime}^2 = 0\\;\\;\\; [3]<\/span><\/bdi><\/p>\n<\/li>\n<li>\n<p><strong>\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u062d\u062f\u062b \u064a\u062a\u062d\u0631\u0643 \u0645\u0639 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi>:<\/strong><\/p>\n<p>\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u062b \u0646\u0641\u0633\u0647\u0627 \u0643\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0623\u0635\u0644 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime,<\/span><\/bdi> \u0641\u0625\u0646\u0647 \u064a\u062d\u062f\u062b \u0623\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">x=v_0 t<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime =0.<\/span><\/bdi> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <a href=\"#eq2\">[2]<\/a> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p><a name=\"eq4\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl} &amp; 0 = Dt + Ev_0 t \\\\ \\equiv &amp; D = -Ev_0\\:\\:\\;[4] \\end{array}<\/span><\/bdi><\/p>\n<\/li>\n<li>\n<p><strong>\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u062d\u062f\u062b \u064a\u0628\u0642\u0649 \u0628\u062c\u0627\u0646\u0628 \u0623\u0635\u0644 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0642\u0635\u0648\u0631\u064a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi>:<\/strong><\/p>\n<p style=\"text-align:justify;\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0633\u064a\u0643\u0648\u0646 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">x=0<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = -v_0 t^\\prime,<\/span><\/bdi> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <a href=\"#eq2\">[2]<\/a> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p><a name=\"eq5\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl} &amp;-v_0t^\\prime = Dt\\\\ \\equiv &amp; t= \\displaystyle -\\frac{v_0}{D} t^\\prime\\;\\;\\;[5] \\end{array}<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u062b\u0645\u060c \u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 <a href=\"#eq1\">[1]<\/a> \u0648 <a href=\"#eq5\">[5]<\/a>\u060c \u0646\u062c\u062f \u0623\u0646:<\/p>\n<p><a name=\"eq6\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} &amp; t^\\prime = A \\left(\\displaystyle -\\frac{v_0}{D}\\right) t^\\prime + \\underbrace{Bx}_{x=0} \\\\ \\\\ \\equiv &amp; \\displaystyle \\frac{-Av_0}{D} = 1 \\\\ \\\\ \\equiv &amp; D = -Av_0\\;\\;\\;[6] \\end{array}<\/span><\/bdi><\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align:justify;\">\u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0645\u0646 <a href=\"#eq4\">[4]<\/a> \u0648 <a href=\"#eq6\">[6]<\/a>: <bdi><span class=\"katex-eq\" data-katex-display=\"false\">A = E,<\/span><\/bdi> \u0628\u062d\u064a\u062b \u064a\u064f\u0635\u0628\u062d \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u0630\u064a \u064a\u064f\u0642\u062f\u0645\u0647 <a href=\"#eq1\">[1]<\/a> \u0648 <a href=\"#eq2\">[2]<\/a> \u0643\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p><a name=\"eq7\"><\/a> <a name=\"eq8\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rll} t^\\prime &amp;= At + Bx  &amp;  [7]\\\\ \\\\ x^\\prime &amp;= A(x - v_{x_0} t) &amp; [8] \\end{array}<\/span><\/bdi><\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0633\u0631\u0639\u0629 \u0648\u0639\u0627\u0645\u0644 \u0644\u0648\u0631\u0646\u062a\u0632<\/h3>\n<p style=\"text-align:justify;\">\u0627\u0644\u0622\u0646\u060c \u0628\u0625\u062d\u0644\u0627\u0644 <a href=\"#eq7\">[7]<\/a> \u0648 <a href=\"#eq8\">[8]<\/a> \u0641\u064a <a href=\"#eq3\">[3]<\/a>\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} &amp; c^2 (At +Bx)^2 - A^2 (x - v_{x_0} t)^2 = c^2t^2 - x^2\\\\ \\\\ \\equiv\\; &amp; \\color{blue}{(c^2 A^2) t^2} + \\color{red}{(2c^2 AB)xt} \\color{black} + c^2 B^2 x^2 -  A^2 x^2 + \\color{red} {(2A^2v_{x_0})xt} \\color{black}- \\color{blue}{(A^2 v_{x_0}^2) t^2} \\color{black}= \\color{blue}{(c^2) t^2} \\color{black}- x^2. \\end{array}<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\"><span style=\"color:blue\"><strong>\u0648\u0645\u0646 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0645\u0644\u0648\u0646 \u0628\u0627\u0644\u0623\u0632\u0631\u0642 \u0646\u0633\u062a\u0646\u062a\u062c<\/strong><\/span><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} &amp;c^2 A^2 - A^2 v_{x_0}^2 = c^2 \\\\ \\\\ \\equiv\\;&amp; A^2 (c^2 - v_{x_0}^2) = c^2 \\\\ \\\\ \\equiv\\;&amp; \\displaystyle A^2 = \\frac{c^2}{c^2 - v_{x_0}^2} = \\frac{1}{1 - \\frac{v_{x_0}^2}{c^2}}  \\\\ \\equiv\\;&amp; \\displaystyle A = \\frac{1}{\\sqrt{1 - \\frac{v_{x_0}^2}{c^2}}} \\end{array}<\/span><\/bdi><\/p>\n<p><p style=\"text-align:justify;\">\u064a\u064f\u0643\u062a\u0628 \u0647\u0630\u0627 \u0639\u0627\u062f\u0629\u064b \u0628\u062a\u0628\u062f\u064a\u0644 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">A=\\gamma_x<\/span><\/bdi> (\u0639\u0627\u0645\u0644 \u062a\u0642\u0644\u0635 \u0644\u0648\u0631\u0646\u062a\u0632) \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\beta_x = \\frac{v_{x_0}}{c}<\/span><\/bdi> (\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0633\u0631\u0639\u0629)\u060c \u0644\u064a\u0623\u062e\u0630 \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p><a name=\"eq9\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle A = \\gamma_x = \\frac{1}{\\sqrt{1 - \\beta_x^2}},\\;\\;\\;[9]<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0648\u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 <a href=\"#eq9\">[9]<\/a> \u0641\u064a <a href=\"#eq2\">[2]<\/a>\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = \\gamma_x(x - \\beta_x ct)<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\"><span style=\"color:red\"><strong>\u0648\u0645\u0646 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0645\u0644\u0648\u0646 \u0628\u0627\u0644\u0623\u062d\u0645\u0631 \u0646\u0633\u062a\u0646\u062a\u062c<\/strong><\/span><\/p>\n<p><a name=\"eq10\"><\/a><\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rll} &amp;2c^2 AB + 2A^2v_{x_{x_0}} = 0&amp; \\\\ \\\\ \\equiv\\;&amp; cB^2 + Av_{x_0} = 0 &amp; \\\\ \\\\ \\equiv\\;&amp; B=\\displaystyle -\\frac{1}{c^2}Av_{x_0} = -\\frac{\\gamma_x v_{x_0}}{c^2}&amp; \\\\ \\\\ \\equiv\\;&amp; B=\\displaystyle -\\frac{\\gamma_x \\beta_x}{c} &amp; [10] \\end{array}<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0628\u0625\u062d\u0644\u0627\u0644 <a href=\"#eq9\">[9]<\/a> \u0648 <a href=\"#eq10\">[10]<\/a> \u0641\u064a <a href=\"#eq7\">[7]<\/a>\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl} &amp;t^\\prime =\\displaystyle \\gamma_x t -\\frac{\\gamma_x \\beta_x}{c} \\\\ \\\\ \\equiv\\; &amp;t^\\prime =\\displaystyle \\gamma_x \\left( t -\\frac{\\beta_x x}{c}\\right)\\\\ \\\\ \\equiv\\; &amp;ct^\\prime =\\displaystyle \\gamma_x \\left( ct - \\beta_x x \\right) \\end{array}<\/span><\/bdi><\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u062a\u0631\u0643\u064a\u0628 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632<\/h3>\n<p style=\"text-align:justify;\">\u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u062a\u064f\u0639\u0637\u0649 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u064f\u0645\u062b\u0644 \u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi> \u0648 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi> \u0628\u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\u064a\u0629.<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}ct^\\prime &amp;=\\gamma_x \\left( ct - \\beta_x x \\right) \\\\ x^\\prime &amp;= \\gamma_x(x - \\beta_x ct) \\end{array}<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0638\u0627\u0645 \u0645\u0646 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0628\u0634\u0643\u0644 \u0645\u0635\u0641\u0648\u0641\u064a \u0643\u0645\u0627 \u064a\u0644\u064a<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\left(\\begin{matrix}ct^\\prime \\\\ x^\\prime \\\\ y^\\prime \\\\ z^\\prime \\end{matrix}\\right) = \\left( \\begin{matrix}\\gamma_x &amp; -\\gamma_x\\beta_x &amp; 0 &amp; 0 \\\\ -\\gamma_x\\beta_x &amp; \\gamma_x &amp; 0 &amp; 0 \\\\  0 &amp; 0 &amp; 1 &amp; 0 \\\\ 0 &amp; 0 &amp; 0 &amp; 1 \\end{matrix} \\right) \\left(\\begin{matrix} ct \\\\ x \\\\ y \\\\ z \\end{matrix} \\right)\n\n<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0647\u0630\u0627 \u0645\u0627 \u064a\u064f\u0639\u0631\u0641 \u0628\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h2>\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0648\u062a\u0639\u0645\u064a\u0645\u0647\u0627 \u0648\u062a\u0642\u0627\u0631\u0628\u0647\u0627 \u0645\u0639 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648<\/h2>\n<p style=\"text-align:justify;\">\u064a\u064f\u0644\u0627\u062d\u0638 \u062a\u0642\u0627\u0631\u0628 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u0645\u0639 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0633\u0631\u0639\u0629 \u0628\u064a\u0646 \u0627\u0644\u0625\u0637\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629 \u0623\u0642\u0644 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0643\u0648\u0646:<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> |v_{x_0}| \\ll c \\longrightarrow \\left\\{\\begin{matrix}\\beta_x = \\frac{v_{x_0}}{c} \\approx 0 \\\\ \\\\ \\gamma_x = \\sqrt{1-\\beta_x} \\approx 1 \\\\ \\\\ \\gamma_x \\beta_x c = v_{x_0} \\gamma_x \\approx v_{x_0} \\end{matrix}\\right.  <\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\left(\\begin{matrix}ct^\\prime \\\\ x^\\prime \\\\ y^\\prime \\\\ z^\\prime \\end{matrix}\\right) = \\left( \\begin{matrix}\\gamma_x &amp; -\\gamma_x\\beta_x &amp; 0 &amp; 0 \\\\ -\\gamma_x\\beta_x &amp; \\gamma_x &amp; 0 &amp; 0 \\\\  0 &amp; 0 &amp; 1 &amp; 0 \\\\ 0 &amp; 0 &amp; 0 &amp; 1 \\end{matrix} \\right) \\left(\\begin{matrix} ct \\\\ x \\\\ y \\\\ z \\end{matrix} \\right) = \\left(\\begin{matrix} \\gamma_x ct  -\\gamma_x \\beta_x x \\\\ -\\gamma_x \\beta_x c t + \\gamma_x x \\\\ y \\\\ z \\end{matrix} \\right) \\approx \\left(\\begin{matrix} ct \\\\ -v_{x_0}t + x \\\\ y \\\\ z \\end{matrix}\\right)<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0623\u064a:<\/p>\n<p id=\"eq\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} t^\\prime &amp;\\approx t \\\\ x^\\prime &amp;\\approx x - v_{x_0}t \\\\ y^\\prime &amp;\\approx y \\\\ z^\\prime &amp;\\approx z \\end{array}\n\n<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0648\u0647\u0630\u0627 \u064a\u062a\u0637\u0627\u0628\u0642 \u062a\u0645\u0627\u0645\u064b\u0627 \u0645\u0639 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0627\u060c \u064a\u062a\u0645 \u0627\u0644\u062a\u0623\u0643\u064a\u062f \u0639\u0644\u0649 \u0623\u0646 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632 \u062a\u0639\u0645\u0645 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648 \u0644\u0644\u0633\u0631\u0639\u0627\u062a \u0627\u0644\u0642\u0631\u064a\u0628\u0629 \u0645\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0648\u062a\u062a\u0642\u0627\u0631\u0628 \u0645\u0639\u0647\u0627 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0623\u0642\u0644 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<h2>\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/h2>\n<p style=\"text-align:justify;\">\n        \u0644\u0642\u062f \u0627\u0633\u062a\u0643\u0634\u0641\u0646\u0627 \u0628\u0639\u0645\u0642 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632\u060c \u0648\u0647\u064a \u0631\u0643\u064a\u0632\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0644\u0623\u064a\u0646\u0634\u062a\u0627\u064a\u0646. \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0644\u064a\u0644 \u062f\u0642\u064a\u0642\u060c \u0631\u0623\u064a\u0646\u0627 \u0643\u064a\u0641 \u062a\u0646\u0634\u0623 \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0637\u0628\u064a\u0639\u064a\u064b\u0627 \u0645\u0646 \u0627\u0641\u062a\u0631\u0627\u0636 \u062b\u0628\u0627\u062a \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0637\u0631 \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u0629. \u0644\u0642\u062f \u0623\u0638\u0647\u0631\u0646\u0627 \u0623\u0647\u0645\u064a\u0629 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0644\u0648\u0631\u0646\u062a\u0632\u060c \u0644\u064a\u0633 \u0641\u0642\u0637 \u0643\u062a\u0639\u0645\u064a\u0645 \u0648\u062a\u0635\u062d\u064a\u062d \u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u062c\u0627\u0644\u064a\u0644\u064a\u0648\u060c \u0628\u0644 \u0623\u064a\u0636\u064b\u0627 \u0643\u0625\u0637\u0627\u0631 \u0636\u0631\u0648\u0631\u064a 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