{"id":25522,"date":"2022-07-11T00:00:34","date_gmt":"2022-07-11T00:00:34","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25522"},"modified":"2024-05-21T09:42:48","modified_gmt":"2024-05-21T09:42:48","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%95%e0%a4%be-%e0%a4%b8%e0%a4%bf%e0%a4%a6%e0%a5%8d%e0%a4%a7","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%95%e0%a4%be-%e0%a4%b8%e0%a4%bf%e0%a4%a6%e0%a5%8d%e0%a4%a7\/","title":{"rendered":"\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/h1>\n<p><\/p>\n<p class=\"eq\"><em><strong>\u0938\u093e\u0930\u093e\u0902\u0936:<\/strong> \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092f\u0939 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0905\u0935\u0932\u094b\u0915\u0928 \u0917\u0924\u093f\u0936\u0940\u0932 \u0922\u093e\u0902\u091a\u0947 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0915\u093f \u092d\u094c\u0924\u093f\u0915 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u0947 \u0928\u093f\u092f\u092e \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u093f\u0924 \u0914\u0930 \u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0924\u0925\u093e \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0947\u0916\u0947 \u0917\u090f \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0927\u093e\u0930\u092d\u0942\u0924 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924\u094b\u0902 \u0915\u093e \u092a\u0930\u093f\u091a\u092f \u0926\u093f\u092f\u093e \u091c\u093e\u090f\u0917\u093e\u0964<\/br><\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u0940\u0916\u0928\u0947 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0938\u092e\u093e\u092a\u0928 \u092a\u0930 \u091b\u093e\u0924\u094d\u0930 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:\n<\/p>\n<ol>\n<li><strong>\u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0928\u093e<\/strong> \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0940 \u092e\u0942\u0932\u092d\u0942\u0924 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u093e\u0964<\/li>\n<li><strong>\u0938\u092e\u091d\u093e\u0928\u093e<\/strong> \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092e\u0947\u0902 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d \u0915\u093e \u092e\u0939\u0924\u094d\u0935 \u0914\u0930 \u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0924\u0925\u093e \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u092c\u0940\u091a \u0905\u0902\u0924\u0930 \u0915\u0930\u0928\u093e\u0964<\/li>\n<li><strong>\u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u093e<\/strong> \u0932\u0949\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u094b \u0938\u0930\u0932 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0914\u0930 \u0926\u093f\u0916\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0948\u0938\u0947 \u092c\u0926\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u0938\u0942\u091a\u0940<\/strong><br \/>\n<a href=\"#1\"><strong>\u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/strong><\/a><br \/>\n<a href=\"#3\">\u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u094b \u0938\u0930\u0932 \u092c\u0928\u093e\u0928\u093e<\/a><br \/>\n<a href=\"#4\">\u0932\u0949\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928<\/a><br \/>\n<a href=\"#5\"><strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/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=\"YouTube \u0935\u0940\u0921\u093f\u092f\u094b \u092a\u094d\u0932\u0947\u092f\u0930\" 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>\u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e<\/h2>\n<p>\u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0930\u0924\u0947 \u0938\u092e\u092f, \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u094b \u092e\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e \u0915\u093e \u091a\u092f\u0928 \u0938\u0926\u0948\u0935 \u0938\u0902\u092d\u0935 \u0939\u094b\u0924\u093e \u0939\u0948, \u0914\u0930 \u092f\u0947 \u092b\u094d\u0930\u0947\u092e \u0909\u0928\u094d\u092e\u0941\u0916\u0940\u0915\u0930\u0923 \u0914\u0930 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0917\u0924\u093f \u092e\u0947\u0902 \u092d\u093f\u0928\u094d\u0928 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0935\u0930\u094d\u0917 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u094b \u0939\u092e\u0947\u0902 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0924\u093e \u0939\u0948, \u092f\u0947 \u0939\u0948\u0902 <strong>\u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e\u0964<\/strong> \u090f\u0915 \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e \u0915\u094b \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u092c \u0909\u0938\u092e\u0947\u0902 <strong>\u0928\u094d\u092f\u0942\u091f\u0928 \u0915\u093e \u092a\u0939\u0932\u093e \u0928\u093f\u092f\u092e<\/strong> \u092a\u0942\u0930\u093e \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u094b \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u092c\u093e\u0939\u0930\u0940 \u090f\u091c\u0947\u0902\u091f\u094b\u0902 \u0915\u0940 \u0905\u0928\u0941\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, \u0915\u0923 \u0905\u092a\u0928\u0940 \u0917\u0924\u093f \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u094b \u092c\u0928\u093e\u090f \u0930\u0916\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0907\u0938\u0932\u093f\u090f:<\/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>\u0907\u0938\u0938\u0947 \u092f\u0939 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u0932\u0924\u093e \u0939\u0948 \u0915\u093f, \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 \u0915\u0940 \u0905\u0928\u0941\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, \u092f\u0926\u093f \u0926\u094b \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \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> \u0939\u0948\u0902, \u0924\u094b <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0938\u0947 \u0915\u0947\u0935\u0932 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u092d\u093f\u0928\u094d\u0928 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948:<\/p>\n<ul>\n<li>\u090f\u0915 \u0905\u0928\u0941\u0935\u093e\u0926,<\/li>\n<li>\u090f\u0915 \u0918\u0942\u0930\u094d\u0923\u0928,<\/li>\n<li>\u0926\u094b\u0928\u094b\u0902 \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0930 \u0935\u0947\u0917 \u0915\u0947 \u0938\u093e\u0925 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0917\u0924\u093f\u0964<\/li>\n<\/ul>\n<p>\u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e <strong>\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/strong> \u0915\u0947 \u0932\u093f\u090f \u092e\u094c\u0932\u093f\u0915 \u0939\u0948, \u091c\u094b \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0947 \u0928\u093f\u092f\u092e \u0938\u092d\u0940 \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0926\u094b\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0932\u093e\u0917\u0942 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/h3>\n<p>\u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u0935\u093f\u0935\u0930\u0923 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0935\u093f\u0935\u0930\u0923 \u092e\u0947\u0902 \u0905\u0902\u0924\u0930 \u0907\u0938 \u092c\u093e\u0924 \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915, \u090f\u0915 \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0947 \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902, \u0926\u0942\u0938\u0930\u0940 \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0938\u0947 \u0915\u0948\u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>\u0906\u0907\u090f \u0939\u092e \u0926\u094b \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0915\u093e\u0930\u094d\u0924\u0940\u092f \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 \u00ab\u092e\u093e\u0928\u0915 \u0938\u0902\u0930\u091a\u0928\u093e\u00bb \u092e\u0947\u0902 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902, \u0905\u0930\u094d\u0925\u093e\u0924 \u091c\u0939\u093e\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0915\u0947 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0935\u0947\u0917 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_{ss^\\prime} = v_{ss^\\prime_x} \\hat{x}<\/span> \u092a\u0930 \u091a\u0932\u0924\u093e \u0939\u0948 \u0914\u0930 <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 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0905\u0915\u094d\u0937 \u0938\u0902\u0930\u0947\u0916\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime = 0<\/span> \u092a\u0930 \u092e\u093f\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<\/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=\"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><br \/>\n<\/figure>\n<p>\u0924\u092c \u092f\u0939 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f, \u092f\u0926\u093f <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\u0940 \u0917\u0908 \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u0947 \u0935\u093e\u0932\u093e \u090f\u0915 \u0930\u0948\u0916\u093f\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0924\u093e \u0939\u0948, \u0924\u094b \u0935\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \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><\/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>\u091c\u0939\u093e\u0902 <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> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0939\u0948\u0902\u0964<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u094b \u0938\u0930\u0932 \u092c\u0928\u093e\u0928\u093e<\/h3>\n<p>\u092f\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u094b \u0915\u0930\u0915\u0947 \u0938\u0930\u0932 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ul>\n<li>\n<p>\u091a\u0942\u0902\u0915\u093f \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u093f\u0938\u0940 \u092d\u0940 <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime<\/span> \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u094d\u092f \u0939\u094b\u0928\u0947 \u091a\u093e\u0939\u093f\u090f, \u0907\u0938\u0932\u093f\u090f \u092f\u0926\u093f \u0939\u092e \u0918\u091f\u0928\u093e \u0915\u094b <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0915\u0947 \u092e\u0942\u0932 \u092a\u0930 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime =0<\/span> \u0939\u094b\u0917\u093e\u0964 \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u0918\u091f\u0928\u093e <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0915\u0947 \u0938\u093e\u0925 \u091a\u0932\u0947\u0917\u0940 \u0914\u0930 \u0907\u0938\u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0915\u0947 \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">x=v_{{ss^\\prime}_x}t<\/span> \u0939\u094b\u0917\u0940\u0964<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">x=v_{{ss^\\prime}_x}t<\/span> \u0915\u094b <a href=\"#eq1\"><span class=\"katex-eq\" data-katex-display=\"false\">[\\triangle]<\/span><\/a> \u0915\u0947 \u0926\u0942\u0938\u0930\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">D=-Ev_{{ss^\\prime}_x}<\/span> \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>\u0907\u0938\u0940 \u0924\u0930\u0939, \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u093f\u0938\u0940 \u092d\u0940 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u094d\u092f \u0939\u0948\u0902, \u0907\u0938\u0932\u093f\u090f \u092f\u0926\u093f \u0939\u092e \u0918\u091f\u0928\u093e \u0915\u094b <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u0915\u0947 \u092e\u0942\u0932 \u092a\u0930 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u0938\u0947 \u0926\u0947\u0916\u093e \u0917\u092f\u093e \u0907\u0938\u0915\u093e \u0938\u094d\u0925\u093e\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = -v_{{ss^\\prime}_x}t^\\prime<\/span> \u0939\u094b\u0917\u093e\u0964<\/p>\n<p>\u0907\u0938\u0947 <a href=\"#eq1\"><span class=\"katex-eq\" data-katex-display=\"false\">[\\triangle]<\/span><\/a> \u0915\u0947 \u092a\u0939\u0932\u0947 \u0914\u0930 \u0926\u0942\u0938\u0930\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">t^\\prime=At<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">-v_{{ss^\\prime}_x}t^\\prime =Dt<\/span> \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">D=-v_{{ss^\\prime}_x}A<\/span> \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u0932\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p>\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u092a\u0939\u0932\u0947 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u094b \u0938\u093e\u092e\u0902\u091c\u0938\u094d\u092f\u092a\u0942\u0930\u094d\u0923 \u092c\u0928\u093e\u0928\u0947 \u0915\u093e \u090f\u0915\u092e\u093e\u0924\u094d\u0930 \u0924\u0930\u0940\u0915\u093e \u092f\u0939 \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A=E,<\/span> \u092e\u093e\u0928\u093e \u091c\u093e\u090f, \u0914\u0930 \u0907\u0938\u0915\u0947 \u0938\u093e\u0925 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0928\u093f\u092e\u094d\u0928\u093e\u0928\u0941\u0938\u093e\u0930 \u0915\u092e \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902:<\/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>\u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928<\/h3>\n<p>\u0928\u094d\u092f\u0942\u091f\u0928 \u0915\u0947 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0947 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u0915\u093e \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0902 \u0938\u092e\u092f \u0938\u092d\u0940 \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0917\u0941\u091c\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0932\u093f\u090f <span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime.<\/span> \u0907\u0938\u0915\u093e \u092a\u0930\u093f\u0923\u093e\u092e \u092f\u0939 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A=1<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B=0.<\/span> \u0907\u0938\u0938\u0947 <strong>\u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928<\/strong> \u0915\u093e \u0928\u093f\u0930\u094d\u092e\u093e\u0923 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u094b \u0926\u094b \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0924\u093e \u0939\u0948\u0964<\/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<p>\u0926\u0942\u0938\u0930\u0940 \u0913\u0930, \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0947 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0906\u0907\u0902\u0938\u094d\u091f\u0940\u0928 \u0915\u093e \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u094b \u0907\u0938\u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u0928\u093f\u0930\u094d\u0935\u093e\u0924 \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u094b \u0938\u092d\u0940 \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u092e\u093e\u0928\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0938\u0947 \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\u094b\u0902 \u0915\u093e \u0928\u093f\u0930\u094d\u092e\u093e\u0923 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e \u092c\u093e\u0926 \u0915\u0940 \u092a\u094d\u0930\u0935\u093f\u0937\u094d\u091f\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0926\u0947\u0916\u0947\u0902\u0917\u0947, \u0907\u0938\u0915\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u0939\u094b\u0924\u093e \u0939\u0948:<\/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>\u091c\u0939\u093e\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">\\beta_x=v_{ss^\\prime_x}\/c<\/span> \u0914\u0930 <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>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/h2>\n<p>\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0928 \u0915\u0947\u0935\u0932 \u0939\u092e\u093e\u0930\u0947 \u092c\u094d\u0930\u0939\u094d\u092e\u093e\u0902\u0921 \u0915\u0940 \u0938\u092e\u091d \u0915\u094b \u0915\u094d\u0930\u093e\u0902\u0924\u093f\u0915\u093e\u0930\u0940 \u092c\u0928\u093e\u0924\u093e \u0939\u0948, \u092c\u0932\u094d\u0915\u093f \u0939\u092e\u093e\u0930\u0947 \u0938\u092c\u0938\u0947 \u092e\u094c\u0932\u093f\u0915 \u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u092d\u0940 \u091a\u0941\u0928\u094c\u0924\u0940 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0917\u0924\u093f\u0930\u094b\u0927\u0940 \u0938\u0902\u0926\u0930\u094d\u092d \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0915\u0947 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947, \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e \u0939\u0948 \u0915\u093f \u0915\u0948\u0938\u0947 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0947 \u0928\u093f\u092f\u092e \u0905\u092a\u0928\u093e \u0930\u0942\u092a \u0938\u094d\u0925\u093f\u0930 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902, \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 \u0915\u0947 \u092c\u093e\u0935\u091c\u0942\u0926, \u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0926\u094b\u0928\u094b\u0902 \u092e\u0947\u0902\u0964 \u0932\u094b\u0930\u0947\u0902\u091f\u094d\u091c\u093c \u0914\u0930 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0914\u0930 \u0917\u0939\u0930\u0947 \u0905\u0902\u0924\u0930\u094b\u0902 \u0915\u094b \u0905\u0928\u0942\u0920\u0947 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924, \u091c\u094b \u0906\u0927\u0941\u0928\u093f\u0915 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0939\u0948, \u0928 \u0915\u0947\u0935\u0932 \u092d\u094c\u0924\u093f\u0915 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u0938\u092e\u091d \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u093f\u0935\u093e\u0930\u094d\u092f \u0939\u0948, \u092c\u0932\u094d\u0915\u093f GPS \u0924\u0915\u0928\u0940\u0915 \u0938\u0947 \u0932\u0947\u0915\u0930 \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u0905\u0928\u094d\u0935\u0947\u0937\u0923 \u0924\u0915 \u0915\u0947 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092d\u0940 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948\u0964 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0940 \u091c\u091f\u093f\u0932\u0924\u093e\u0913\u0902 \u0915\u094b \u0909\u091c\u093e\u0917\u0930 \u0915\u0930\u0915\u0947, \u0939\u092e \u092c\u094d\u0930\u0939\u094d\u092e\u093e\u0902\u0921 \u0915\u0947 \u091c\u091f\u093f\u0932 \u0924\u093e\u0928\u0947-\u092c\u093e\u0928\u0947 \u0914\u0930 \u0909\u0938\u092e\u0947\u0902 \u0939\u092e\u093e\u0930\u0947 \u0938\u094d\u0925\u093e\u0928 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u090f\u0915 \u0915\u0926\u092e \u0914\u0930 \u0906\u0917\u0947 \u092c\u0922\u093c\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0938\u093e\u0930\u093e\u0902\u0936: \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092f\u0939 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0905\u0935\u0932\u094b\u0915\u0928 \u0917\u0924\u093f\u0936\u0940\u0932 \u0922\u093e\u0902\u091a\u0947 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0915\u093f \u092d\u094c\u0924\u093f\u0915 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u0947 \u0928\u093f\u092f\u092e \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u093f\u0924 \u0914\u0930 \u0928\u094d\u092f\u0942\u091f\u094b\u0928\u093f\u092f\u0928 \u092d\u094c\u0924\u093f\u0915\u0940 \u0924\u0925\u093e \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0917\u0924\u093f\u0936\u0940\u0932 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0947\u0916\u0947 \u0917\u090f \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 [&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":2,"footnotes":""},"categories":[643,699],"tags":[],"class_list":["post-25522","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-643","category-699"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0930\u0939\u0938\u094d\u092f\u094b\u0902 \u0915\u093e \u0905\u0928\u094d\u0935\u0947\u0937\u0923 \u0915\u0930\u0947\u0902, 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