{"id":25682,"date":"2022-07-18T00:00:32","date_gmt":"2022-07-18T00:00:32","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25682"},"modified":"2024-05-21T09:41:55","modified_gmt":"2024-05-21T09:41:55","slug":"%e0%a4%b5%e0%a4%bf%e0%a4%b6%e0%a5%87%e0%a4%b7-%e0%a4%b8%e0%a4%be%e0%a4%aa%e0%a5%87%e0%a4%95%e0%a5%8d%e0%a4%b7%e0%a4%a4%e0%a4%be-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%b2%e0%a5%8b%e0%a4%b0%e0%a5%87","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b5%e0%a4%bf%e0%a4%b6%e0%a5%87%e0%a4%b7-%e0%a4%b8%e0%a4%be%e0%a4%aa%e0%a5%87%e0%a4%95%e0%a5%8d%e0%a4%b7%e0%a4%a4%e0%a4%be-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%b2%e0%a5%8b%e0%a4%b0%e0%a5%87\/","title":{"rendered":"\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928<\/h1>\n<p class=\"eq\"><em><strong>\u0938\u093e\u0930\u093e\u0902\u0936:<\/strong><br \/>\n\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u0914\u0930 \u0938\u092e\u092f \u0915\u0947 \u0926\u0947\u0916\u0947 \u0917\u090f \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u094b \u0926\u094b \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 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\u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0902, \u091c\u0948\u0938\u0947 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928, \u00ab\u0917\u0924\u093f \u092c\u0922\u093c\u093e\u0928\u093e\u00bb \u0914\u0930 \u00ab\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0915\u093e\u0930\u0915\u00bb\u0964<\/li>\n<li><strong>\u0938\u092e\u091d\u0947\u0902<\/strong> \u0915\u0948\u0938\u0947 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u0938\u092d\u0940 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0930 \u0939\u094b\u0928\u0947 \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0938\u092e\u092f \u0914\u0930 \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902<\/strong> \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u094b \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902, \u091c\u0948\u0938\u0947 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0914\u0930 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f\u0964<\/li>\n<li><strong>\u090f\u0915\u0940\u0915\u0943\u0924 \u0915\u0930\u0947\u0902<\/strong> \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0940 \u092a\u0942\u0930\u094d\u0935 \u091c\u094d\u091e\u093e\u0928 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f \u0915\u0948\u0938\u0947 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0909\u0928\u094d\u0939\u0947\u0902 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0943\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0938\u0902\u0917\u092e\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li><strong>\u0935\u093f\u0918\u091f\u093f\u0924 \u0915\u0930\u0947\u0902<\/strong> \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u094b \u0907\u0938\u0915\u0947 \u092e\u094c\u0932\u093f\u0915 \u0918\u091f\u0915\u094b\u0902 \u092e\u0947\u0902, \u091c\u0948\u0938\u0947 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0928\u093f\u0930\u0902\u0924\u0930 \u0917\u0924\u093f \u0914\u0930 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092e\u0947\u0902 \u0930\u0947\u0916\u0940\u092f\u0924\u093e\u0964<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u0905\u0928\u0941\u0915\u094d\u0930\u092e\u0923\u093f\u0915\u093e<\/strong><br \/>\n<a href=\"#1\"><strong>\u0928\u0908 \u0935\u093f\u091a\u093e\u0930\u0927\u093e\u0930\u093e\u090f\u0902<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e<\/strong><\/a><br \/>\n<a href=\"#3\">\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 (\u0930\u0947\u0916\u0940\u092f) \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u0930 \u092a\u0941\u0928\u0930\u093e\u0935\u0932\u094b\u0915\u0928<\/a><br \/>\n<a href=\"#4\">\u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u094b \u0938\u093e\u0930\u094d\u0935\u092d\u094c\u092e\u093f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u0947\u0936 \u0915\u0930\u0928\u093e<\/a><br \/>\n<a href=\"#5\">\u0917\u0924\u093f \u092c\u0922\u093c\u093e\u0928\u093e \u0914\u0930 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0915\u093e\u0930\u0915<\/a><br \/>\n<a href=\"#6\">\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u093e \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923<\/a><br \/>\n<a href=\"#7\"><strong>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 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\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u092e\u0948\u0917\u094d\u0928\u0947\u091f\u093f\u0915 \u0924\u0930\u0902\u0917\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0938\u093e\u0930<\/a> \u092e\u0947\u0902 \u0926\u0947\u0916\u093e \u0917\u092f\u093e \u0939\u0948, \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u092f\u0939 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f <span class=\"katex-eq\" data-katex-display=\"false\">c<\/span> \u0938\u092d\u0940 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u092f\u0939 \u0927\u093e\u0930\u0923\u093e \u092e\u0941\u092b\u094d\u0924 \u0928\u0939\u0940\u0902 \u0906\u0924\u0940 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0907\u0938\u0915\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0928\u093f\u0939\u093f\u0924\u093e\u0930\u094d\u0925 \u0939\u0948\u0902:<\/p>\n<ol>\n<li>\u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u094b \u090f\u0915 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e \u0938\u0947 \u0926\u0942\u0938\u0930\u0947 \u092e\u0947\u0902 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u090f\u0915 \u092e\u093e\u0928\u094d\u092f \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091b\u094b\u0921\u093c\u0928\u093e \u0939\u094b\u0917\u093e\u0964<\/li>\n<li>\u0907\u0938 \u0938\u0939\u091c \u0935\u093f\u091a\u093e\u0930 \u0915\u094b \u091b\u094b\u0921\u093c\u0928\u093e \u0939\u094b\u0917\u093e \u0915\u093f \u0938\u092e\u092f \u0938\u092d\u0940 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u0939\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ol>\n<p style=\"text-align:justify;\">\u0907\u0928 \u0935\u093f\u091a\u093e\u0930\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 <strong>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928<\/strong> \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0938\u0941\u0927\u093e\u0930 \u0914\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0930\u0923 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0915\u093e\u092e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0932\u093f\u090f \u092d\u0940 \u0915\u093e\u092e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u092a\u094d\u0924\u093f<\/h2>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 (\u0930\u0947\u0916\u0940\u092f) \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u092a\u0930 \u092a\u0941\u0928\u0930\u093e\u0935\u0932\u094b\u0915\u0928<\/h3>\n<p style=\"text-align:justify;\">\u0926\u094b \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0915\u094b \u092e\u093e\u0928\u0915 \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u0936\u0928 \u092e\u0947\u0902 \u092e\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0924\u093e\u0915\u093f \u0926\u0942\u0938\u0930\u0947 \u0915\u0940 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f \u092a\u0939\u0932\u0947 \u0915\u0940 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0930 \u0917\u0924\u093f <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_0 = v_{x_0}\\hat{x}<\/span> \u0938\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964 \u0906\u0917\u0947 \u092f\u0939 \u0938\u093e\u092c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f\u0917\u093e \u0915\u093f, \u092f\u0926\u093f \u0926\u094b \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0938\u0947 \u0926\u0947\u0916\u0947 \u0917\u090f \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u090f\u0915 \u0930\u0947\u0916\u0940\u092f \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0902 \u091c\u0948\u0938\u093e \u0915\u093f <a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/\" rel=\"noopener\" target=\"_blank\">\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/a> \u092e\u0947\u0902 \u0935\u0930\u094d\u0923\u093f\u0924 \u0939\u0948 (\u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947, <a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/#eq2\" rel=\"noopener\" target=\"_blank\">\u092f\u0939 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f<\/a>) \u0914\u0930 \u092f\u0939 \u0938\u094d\u0935\u0940\u0915\u093e\u0930 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0938\u092d\u0940 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0939\u0948, \u0924\u094b \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u093e \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0938\u0939\u0940 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0938\u0947 \u092e\u0947\u0932 \u0916\u093e\u0924\u093e \u0939\u0948 \u091c\u094b \u0939\u092e \u092c\u093e\u0926 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0947\u0902\u0917\u0947\u0964\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;\">\u092e\u0942\u0932 \u0930\u0942\u092a \u0938\u0947, <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0938\u0947 \u0926\u0947\u0916\u0940 \u0917\u0908 \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <span class=\"katex-eq\" data-katex-display=\"false\">(t,x)<\/span>, \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0938\u0947 \u0926\u0947\u0916\u0940 \u0917\u0908 \u0909\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <span class=\"katex-eq\" data-katex-display=\"false\">(t^\\prime, x^\\prime)<\/span> \u091c\u094b <span class=\"katex-eq\" data-katex-display=\"false\">S,<\/span> \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0917\u0924\u093f <span class=\"katex-eq\" data-katex-display=\"false\">v_{v}=v_{x_0}\\hat{x}<\/span> \u0938\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948, \u0935\u0947 \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u090f\u0915 \u0930\u0947\u0916\u0940\u092f \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p><a name=\"eq1\"><\/a><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\" >\u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">A, B, C<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u0930\u0902\u0924\u0930 \u0939\u0948\u0902 \u0914\u0930 \u0938\u0930\u0932\u0924\u093e \u0915\u0947 \u0932\u093f\u090f <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">z<\/span> \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u094b \u091b\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 (\u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u093e \u0916\u094b\u090f \u092c\u093f\u0928\u093e)\u0964<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u094b \u090f\u0915 \u0938\u093e\u0930\u094d\u0935\u092d\u094c\u092e\u093f\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u0947\u0936 \u0915\u0930\u0928\u093e<\/h3>\n<p style=\"text-align:justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">A, B, D<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0928\u093e\u092e\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0915\u0941\u091b \u0935\u093f\u0936\u0947\u0937 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947, \u0939\u092e\u0947\u0902 \u092f\u0939 \u0927\u094d\u092f\u093e\u0928 \u092e\u0947\u0902 \u0930\u0916\u0928\u093e \u0939\u094b\u0917\u093e \u0915\u093f <a href=\"#eq1\">[1]<\/a> \u0914\u0930 <a href=\"#eq2\">[2]<\/a> \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u090f \u0917\u090f \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u092e\u0947\u0936\u093e \u0915\u093e\u092e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u0914\u0930 \u0907\u0938\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a, \u092f\u0939 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0936\u0947\u0937 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 \u0915\u093e\u092e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u0914\u0930 \u092f\u0947 \u0935\u093f\u0936\u0947\u0937 \u092e\u093e\u092e\u0932\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u0948\u0902:<\/p>\n<ul>\n<li>\n<p><strong>\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0918\u091f\u0928\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0938\u0947 \u091a\u0932 \u0930\u0939\u0940 \u0939\u0948:<\/strong> \u092f\u0926\u093f \u0907\u0938\u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <span class=\"katex-eq\" data-katex-display=\"false\">(t,x)<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0938\u0947 \u0926\u0947\u0916\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">(t^\\prime, x^\\prime)<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0938\u0947, \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e:<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{x^2}{t^2} = c^2 = \\frac{{x^\\prime}^2}{{t^\\prime}^2}.<\/span>\n<p>\u0907\u0938\u0938\u0947 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u0932\u0924\u093e \u0939\u0948 \u0915\u093f<\/p>\n<p><a name=\"eq3\"><\/a><\/p>\n<p id=\"eq\"><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>\n<\/li>\n<li>\n<p><strong>\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0918\u091f\u0928\u093e \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u0938\u0902\u0926\u0930\u094d\u092d <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0915\u0947 \u0938\u093e\u0925 \u091a\u0932 \u0930\u0939\u0940 \u0939\u0948:<\/strong><\/p>\n<p>\u092f\u0926\u093f \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u0938\u0902\u0926\u0930\u094d\u092d <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0915\u0947 \u092e\u0942\u0932 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b \u092f\u0939 \u0939\u094b\u0917\u093e \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">x=v_0 t<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime =0.<\/span> \u0907\u0938 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a, \u0938\u092e\u0940\u0915\u0930\u0923 <a href=\"#eq2\">[2]<\/a> \u0938\u0947 \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948:<\/p>\n<p><a name=\"eq4\"><\/a><\/p>\n<p id=\"eq\"><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>\n<\/li>\n<li>\n<p><strong>\u0905\u0902\u0924 \u092e\u0947\u0902, \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0918\u091f\u0928\u093e \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u0938\u0902\u0926\u0930\u094d\u092d <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0915\u0947 \u092e\u0942\u0932 \u0915\u0947 \u0938\u093e\u0925 \u0930\u0939\u0924\u0940 \u0939\u0948:<\/strong><\/p>\n<p style=\"text-align:justify;\">\u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">x=0<\/span> \u0939\u094b\u0917\u093e \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = -v_0 t^\\prime,<\/span> \u0907\u0938\u0932\u093f\u090f \u0938\u092e\u0940\u0915\u0930\u0923 <a href=\"#eq2\">[2]<\/a> \u0938\u0947 \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948:<\/p>\n<p><a name=\"eq5\"><\/a><\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\">\u092b\u093f\u0930, <a href=\"#eq1\">[1]<\/a> \u0914\u0930 <a href=\"#eq5\">[5]<\/a> \u0938\u0947, \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948 \u0915\u093f:<\/p>\n<p><a name=\"eq6\"><\/a><\/p>\n<p id=\"eq\"><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>\n<\/li>\n<\/ul>\n<p style=\"text-align:justify;\">\u0905\u0902\u0924 \u092e\u0947\u0902, <a href=\"#eq4\">[4]<\/a> \u0914\u0930 <a href=\"#eq6\">[6]<\/a> \u0938\u0947: <span class=\"katex-eq\" data-katex-display=\"false\">A = E,<\/span> \u0907\u0938\u0932\u093f\u090f <a href=\"#eq1\">[1]<\/a> \u0914\u0930 <a href=\"#eq2\">[2]<\/a> \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0940 \u0917\u0908 \u0938\u092e\u0940\u0915\u0930\u0923 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948:<\/p>\n<p><a name=\"eq7\"><\/a> <a name=\"eq8\"><\/a><\/p>\n<p id=\"eq\"><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>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u0917\u0924\u093f \u0915\u0940 \u092c\u0922\u093c\u094b\u0924\u0930\u0940 \u0914\u0930 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092b\u0948\u0915\u094d\u091f\u0930<\/h3>\n<p style=\"text-align:justify;\">\u0905\u092c, <a href=\"#eq7\">[7]<\/a> \u0914\u0930 <a href=\"#eq8\">[8]<\/a> \u0915\u094b <a href=\"#eq3\">[3]<\/a> \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0939\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\"><span style=\"color:blue\"><strong>\u091c\u094b \u0915\u0941\u091b \u0928\u0940\u0932\u0947 \u0930\u0902\u0917 \u092e\u0947\u0902 \u0930\u0939 \u0917\u092f\u093e \u0939\u0948, \u0909\u0938\u0938\u0947 \u0939\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/strong><\/span><\/p>\n<p id=\"eq\"><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>\n<p><p style=\"text-align:justify;\">\u092f\u0939 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">A=\\gamma_x<\/span> (\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0938\u0902\u0915\u0941\u091a\u0928 \u0915\u093e\u0930\u0915) \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">\\beta_x = v_{x_0}\/c<\/span> (\u0917\u0924\u093f \u092c\u0922\u093c\u094b\u0924\u0930\u0940) \u0915\u094b \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0915\u0947 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u092f\u0939 \u0930\u0942\u092a \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p><a name=\"eq9\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle A = \\gamma_x = \\frac{1}{\\sqrt{1 - \\beta_x^2}},\\;\\;\\;[9]<\/span>\n<p style=\"text-align:justify;\">\u0914\u0930 <a href=\"#eq9\">[9]<\/a> \u0915\u094b <a href=\"#eq2\">[2]<\/a> \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0939\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = \\gamma_x(x - \\beta_x ct)<\/span>\n<p style=\"text-align:justify;\"><span style=\"color:red\"><strong>\u091c\u094b \u0915\u0941\u091b \u0932\u093e\u0932 \u0930\u0902\u0917 \u092e\u0947\u0902 \u0930\u0939 \u0917\u092f\u093e \u0939\u0948, \u0909\u0938\u0938\u0947 \u0939\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/strong><\/span><\/p>\n<p><a name=\"eq10\"><\/a><\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\">\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, <a href=\"#eq9\">[9]<\/a> \u0914\u0930 <a href=\"#eq10\">[10]<\/a> \u0915\u094b <a href=\"#eq7\">[7]<\/a> \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0939\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/p>\n<p id=\"eq\"><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>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0930\u0942\u092a\u093e\u0902\u0924\u0930\u0923 \u0915\u093e \u0938\u0902\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0935\u0930\u094d\u0923\u0928<\/h3>\n<p style=\"text-align:justify;\">\u0905\u0902\u0924 \u092e\u0947\u0902, \u0938\u093f\u0938\u094d\u091f\u092e\u094d\u0938 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u094b \u092e\u0949\u0921\u0932\u093f\u0902\u0917 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u093e \u0930\u0948\u0916\u093f\u0915 \u0930\u0942\u092a\u093e\u0902\u0924\u0930\u0923 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\">\u0907\u0938 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u093e \u0930\u0942\u092a\u093e\u0902\u0924\u0930\u0923 \u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948<\/p>\n<p id=\"eq\"><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 \\\\ -\u03b3_x\u03b2_x &amp; \u03b3_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>\n<p style=\"text-align:justify;\">\u092f\u0939 \u0935\u0939 \u0939\u0948 \u091c\u093f\u0938\u0947 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0930\u0942\u092a\u093e\u0902\u0924\u0930\u0923 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h2>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u093e \u0938\u093e\u092e\u0902\u091c\u0938\u094d\u092f \u0914\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0930\u0923<\/h2>\n<p style=\"text-align:justify;\">\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 \u092c\u0940\u091a \u0938\u093e\u092e\u0902\u091c\u0938\u094d\u092f \u0924\u092c \u0926\u0947\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u092c \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u094b \u0909\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u092c \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0917\u0924\u093f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0938\u0947 \u0915\u0939\u0940\u0902 \u0915\u092e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u091c\u092c \u0910\u0938\u093e \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094b:<\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\">\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930:<\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\">\u092f\u093e\u0928\u0940:<\/p>\n<p id=\"eq\"><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>\n<p style=\"text-align:justify;\">\u091c\u094b \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0938\u0947 \u092e\u0947\u0932 \u0916\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0938\u0947 \u092f\u0939 \u0938\u093f\u0926\u094d\u0927 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0930\u0923 \u0939\u0948\u0902 \u0914\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0938\u0947 \u0915\u093e\u092b\u0940 \u0915\u092e \u0917\u0924\u093f \u092a\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<h2>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/h2>\n<p style=\"text-align:justify;\">\n        \u0939\u092e\u0928\u0947 \u0906\u0907\u0902\u0938\u094d\u091f\u0940\u0928 \u0915\u0947 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u092e\u0942\u0932 \u0938\u094d\u0924\u0902\u092d, \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u093e \u0917\u0939\u0928 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u092f\u093e \u0939\u0948\u0964 \u0938\u093e\u0935\u0927\u093e\u0928\u0940\u092a\u0942\u0930\u094d\u0935\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0914\u0930 \u0935\u093f\u0918\u091f\u0928 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947, \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e \u0939\u0948 \u0915\u093f \u092f\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u0940 \u0938\u094d\u0925\u093f\u0930\u0924\u093e \u0915\u0947 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e \u0938\u0947 \u0938\u094d\u0935\u093e\u092d\u093e\u0935\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0915\u0948\u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e\u0928\u0947 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u0938\u0902\u0917\u093f\u0915\u0924\u093e \u0915\u094b \u0926\u093f\u0916\u093e\u092f\u093e \u0939\u0948, \u0928 \u0915\u0947\u0935\u0932 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0930\u0923 \u0914\u0930 \u0938\u0941\u0927\u093e\u0930 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902, \u092c\u0932\u094d\u0915\u093f \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0914\u0930 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u092d\u094c\u0924\u093f\u0915 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0922\u093e\u0902\u091a\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092d\u0940\u0964\n    <\/p>\n<p style=\"text-align:justify;\">\n        \u0907\u0928 \u0935\u093f\u0937\u092f\u094b\u0902 \u0915\u0940 \u0938\u092e\u091d \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u094b \u0906\u0927\u0941\u0928\u093f\u0915 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902, \u091c\u0948\u0938\u0947 \u00ab\u0917\u0924\u093f \u092c\u0922\u093c\u093e\u0928\u0947\u00bb \u0914\u0930 \u00ab\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c \u092b\u0948\u0915\u094d\u091f\u0930\u00bb \u0938\u0947 \u092a\u0930\u093f\u091a\u093f\u0924 \u0915\u0930\u093e\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0947\u0917\u0940, \u0914\u0930 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0907\u0928 \u0935\u093f\u091a\u093e\u0930\u094b\u0902 \u0915\u094b \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0915\u093e \u0906\u0927\u093e\u0930 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0947\u0917\u0940\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e \u0939\u0948 \u0915\u093f \u0915\u0948\u0938\u0947, \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0938\u0947 \u0915\u0939\u0940\u0902 \u0915\u092e \u0917\u0924\u093f \u0915\u0940 \u0938\u0940\u092e\u093e \u092e\u0947\u0902, \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0902\u0932\u092f\u0928 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0938\u0947 \u0909\u0928\u0915\u0940 \u092c\u0939\u0941\u092e\u0941\u0916\u0940 \u092a\u094d\u0930\u0924\u093f\u092d\u093e \u0914\u0930 \u0938\u093e\u0930\u094d\u0935\u092d\u094c\u092e\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 \u0917\u0924\u093f\u0936\u0940\u0932 \u0928\u093f\u0915\u093e\u092f\u094b\u0902 \u0915\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u092e\u0947\u0902\u0964\n    <\/p>\n<p style=\"text-align:justify;\">\n        \u0938\u0902\u0915\u094d\u0937\u0947\u092a \u092e\u0947\u0902, \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u092e\u0947\u0902 \u0928 \u0915\u0947\u0935\u0932 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u0909\u092a\u0932\u092c\u094d\u0927\u093f \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u092c\u0932\u094d\u0915\u093f \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0935\u0948\u091c\u094d\u091e\u093e\u0928\u093f\u0915 \u0914\u0930 \u0924\u0915\u0928\u0940\u0915\u0940 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 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