{"id":29065,"date":"2021-06-26T13:00:17","date_gmt":"2021-06-26T13:00:17","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29065"},"modified":"2024-09-22T07:08:27","modified_gmt":"2024-09-22T07:08:27","slug":"%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/","title":{"rendered":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b"},"content":{"rendered":"<p><center><\/p>\n<h1>\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b<\/h1>\n<p><em><strong>\u0938\u093e\u0930\u093e\u0902\u0936:<\/strong><br \/>\n\u092f\u0939 \u0915\u0915\u094d\u0937\u093e \u092b\u0932\u0928\u094b\u0902 \u0915\u0947 \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u093e \u092a\u0930\u093f\u091a\u092f \u0926\u0947\u0924\u0940 \u0939\u0948, \u0914\u0930 \u0909\u0928\u094d\u0939\u0947\u0902 \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u0947 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u092a\u0930 \u0932\u093e\u0917\u0942 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0907\u0928 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0917\u094d\u0930\u093e\u092b\u093c\u093f\u0915\u0932 \u0914\u0930 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923\u093e\u0924\u094d\u092e\u0915 \u0924\u0915\u0928\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0940 \u091c\u093e\u090f\u0917\u0940\u0964<br \/>\n<\/em><br \/>\n<strong>\u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0902\u0924 \u0924\u0915, \u091b\u093e\u0924\u094d\u0930 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u0938\u0939\u0940 \u0922\u0902\u0917 \u0938\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0930\u0947\u0902<\/strong> \u0915\u093f \u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u0921\u094b\u092e\u0947\u0928 \u0914\u0930 \u0930\u0947\u0902\u091c \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f<\/strong> \u0917\u094d\u0930\u093e\u092b\u093c\u093f\u0915\u0932 \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0947\u0902\u0964<\/li>\n<li><strong>\u092b\u0932\u0928\u094b\u0902 \u0915\u0947 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f<\/strong> \u0938\u0902\u0915\u0947\u0924\u094b\u0902 \u0915\u0940 \u0924\u093e\u0932\u093f\u0915\u093e\u090f\u0901 \u092c\u0928\u093e\u090f\u0902\u0964<\/li>\n<\/ol>\n<p><\/center><\/p>\n<p><center><br \/>\n<iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/zhb8GKlcdA8\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n<\/center><\/p>\n<h2>\u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/h2>\n<p style=\"text-align: justify;\">\u0905\u092c \u0924\u0915, \u0939\u092e\u0928\u0947 \u0930\u0948\u0916\u093f\u0915, \u0926\u094d\u0935\u093f\u0918\u093e\u0924\u0940\u092f \u0914\u0930 \u0907\u0938\u0940 \u0924\u0930\u0939 \u0915\u0947 \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u092f\u093e \u0939\u0948\u0964 \u0939\u092e\u0928\u0947 \u0930\u0947\u0916\u093e\u090f\u0901, \u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u0914\u0930 \u0938\u092e\u093e\u0902\u0924\u0930, \u092c\u0939\u0941\u092a\u0926\u094b\u0902 \u0914\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u092d\u0940 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u092f\u093e \u0939\u0948\u0964 \u0907\u0928 \u091a\u0940\u091c\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926, \u0905\u092c \u0939\u092e \u0909\u0928 \u092e\u0942\u0932\u092d\u0942\u0924 \u092a\u0939\u0932\u0941\u0913\u0902 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u0917\u0939\u0930\u093e\u0908 \u0938\u0947 \u092a\u094d\u0930\u0935\u0947\u0936 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u092b\u0932\u0928\u094b\u0902 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0939\u092e <strong>\u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b<\/strong> \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u0926\u0947\u0916\u0947\u0902\u0917\u0947\u0964<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=306s\" target=\"_blank\" rel=\"noopener\"><strong>\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u090f\u0915 \u092b\u0932\u0928 \u0939\u0948<\/strong><\/a> \u091c\u094b \u0938\u092e\u0941\u091a\u094d\u091a\u092f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u0948\u0964<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{matrix}f &amp; : &amp; A &amp; \\longrightarrow &amp; B \\\\ &amp; &amp; x &amp; \\longmapsto &amp; y=f(x)\n\n\\end{matrix}<\/span>\n<p style=\"text-align: justify;\">\u0938\u092e\u0941\u091a\u094d\u091a\u092f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0915\u094d\u0930\u092e\u0936\u0903 \u00ab\u0907\u0928\u092a\u0941\u091f\u00bb \u0914\u0930 \u00ab\u0906\u0909\u091f\u092a\u0941\u091f\u00bb \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0915\u0939\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0914\u0930 \u0907\u0928\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in A\\;|\\; (\\exists y \\in B)(y=f(x))\\}<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(f) = \\{y\\in B\\;|\\; (\\exists ! x \\in Dom(f))(y=f(x))\\}<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Graf(f) = \\{(x,y)\\in A\\times B\\;|\\; x\\in Dom(f) \\wedge y=f(x) \\}<\/span>\n<h2>\u0909\u0926\u093e\u0939\u0930\u0923 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/h2>\n<p style=\"text-align: justify;\">\u092f\u0926\u094d\u092f\u092a\u093f \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u092e\u0942\u0932 \u0930\u0942\u092a \u0938\u0947 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u0939\u0948, \u0907\u0928\u0915\u0940 \u0938\u092e\u091d \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0905\u092c \u0939\u092e \u0924\u0940\u0928 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0915\u0947 \u0907\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u0938\u092e\u091d\u0947\u0902\u0917\u0947:<\/p>\n<h3>\u092f\u0939\u093e\u0901 \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0947\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\sqrt{1-x^2}<\/span><\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=560s\" target=\"_blank\" rel=\"noopener\"><strong>\u0907\u0938 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u094b \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u0915\u0930\u0947\u0902<\/strong><\/a> \u0914\u0930 \u0932\u093f\u0916\u0947\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">y=f(x)<\/span>\u0964 \u092f\u0926\u093f \u0939\u092e \u0910\u0938\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e\u0947\u0902 \u092f\u0939 \u0938\u092e\u0940\u0915\u0930\u0923 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0917\u093e<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y = \\sqrt{1-x^2}<\/span>\n<p style=\"text-align: justify;\">\u092f\u0926\u093f \u0939\u092e \u0907\u0938 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b \u0935\u0930\u094d\u0917 \u0915\u0930\u0947\u0902, \u0924\u094b \u0939\u092e \u0936\u0940\u0918\u094d\u0930 \u0939\u0940 \u090f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0947\u0902\u0917\u0947 \u091c\u093f\u0938\u0938\u0947 \u0939\u092e\u0947\u0902 \u092a\u0939\u0932\u0947 \u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u091a\u0940\u091c\u093c\u094b\u0902 \u0915\u093e \u092a\u0924\u093e \u091a\u0932\u0947\u0917\u093e<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n&amp; y^2 = 1-x^2 \\\\\n\n\\equiv &amp; x^2 + y^2 = 1 \\end{array}<\/span>\n<p style=\"text-align: justify;\">\u092f\u0939 \u0907\u0915\u093e\u0908 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948\u0964<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-DQGthMyBY6g\/YNVVrnVQEfI\/AAAAAAAAFOQ\/6_lf8fRQdDIT9NMqstyLOJ2F7nQM9pc8ACLcBGAsYHQ\/s0\/circulounitario.PNG\" alt=\"\u0907\u0915\u093e\u0908 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0907\u0938\u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\" class=\"aligncenter lazyload\" width=\"245\" height=\"249\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-DQGthMyBY6g\/YNVVrnVQEfI\/AAAAAAAAFOQ\/6_lf8fRQdDIT9NMqstyLOJ2F7nQM9pc8ACLcBGAsYHQ\/s0\/circulounitario.PNG\" alt=\"\u0907\u0915\u093e\u0908 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0907\u0938\u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\" class=\"aligncenter lazyload\" width=\"245\" height=\"249\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0939\u093e\u0932\u093e\u0902\u0915\u093f, \u0939\u092e\u0947\u0902 \u092f\u0939\u093e\u0901 \u0938\u093e\u0935\u0927\u093e\u0928 \u0930\u0939\u0928\u093e \u0939\u094b\u0917\u093e, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u0930\u094d\u0917 \u0915\u0930\u0928\u0947 \u0938\u0947 \u00ab\u0915\u0941\u091b \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u091c\u0941\u0921\u093c \u091c\u093e\u0924\u0940 \u0939\u0948\u00bb\u0964 \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0930\u0942\u092a \u0938\u0947, \u0926\u094b \u092e\u093e\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u00ab\u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0939\u094b\u0928\u0947\u00bb \u0915\u0940 \u0936\u0930\u094d\u0924 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0907\u0938 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0940 \u0936\u0941\u0930\u0941\u0906\u0924 \u092e\u0947\u0902, \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0915\u094b \u090f\u0915 \u092b\u0932\u0928 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u0930\u094d\u0926\u093f\u0937\u094d\u091f \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0925\u093e, \u0914\u0930 \u092b\u0932\u0928\u094b\u0902 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u090f\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0939\u092e \u092e\u0941\u0916\u094d\u092f \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u092c\u093e\u0924 \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f, \u092e\u0942\u0932 \u0935\u093f\u091a\u093e\u0930 \u0915\u0947\u0935\u0932 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u090a\u092a\u0930\u0940 \u092d\u093e\u0917 \u0915\u094b \u0938\u0902\u0926\u0930\u094d\u092d\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948, \u0928 \u0915\u093f \u092a\u0942\u0930\u0940 \u0906\u0915\u0943\u0924\u093f \u0915\u094b\u0964<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-AxSf-9lgnuE\/YNVbSJpd-rI\/AAAAAAAAFOg\/0APXEMWIFpAm8DX9651iD6wcq5bTJwFoQCLcBGAsYHQ\/s0\/circulounitario%2B2.PNG\" alt=\"\u0907\u0915\u093e\u0908 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0907\u0938\u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\" class=\" aligncenter lazyload\" width=\"401\" height=\"361\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-AxSf-9lgnuE\/YNVbSJpd-rI\/AAAAAAAAFOg\/0APXEMWIFpAm8DX9651iD6wcq5bTJwFoQCLcBGAsYHQ\/s0\/circulounitario%2B2.PNG\" alt=\"\u0907\u0915\u093e\u0908 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0907\u0938\u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\" class=\" aligncenter lazyload\" width=\"401\" height=\"361\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0907\u0938 \u091a\u093f\u0924\u094d\u0930 \u0938\u0947 \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in\\mathbb{R}\\;|\\; |x|\\leq 1\\} = [-1,1]<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(f) = \\{y\\in\\mathbb{R}\\;|\\; 0\\leq y\\leq 1\\} = [0,1]<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Graf(f) = \\{(x,y)\\in \\mathbb{R}\\times \\mathbb{R}\\;|\\; x\\in [-1,1] \\wedge y=\\sqrt{1-x^2}\\}<\/span>\n<p style=\"text-align: justify;\">\u0939\u093e\u0932\u093e\u0902\u0915\u093f \u092e\u0948\u0902\u0928\u0947 \u0907\u0938 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u094b \u0917\u094d\u0930\u093e\u092b\u093c\u093f\u0915\u0932 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0938\u0947 \u0915\u093f\u092f\u093e \u0939\u0948, \u0907\u0938\u0947 \u0905\u0927\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923\u093e\u0924\u094d\u092e\u0915 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0938\u0947 \u092d\u0940 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0936\u093e\u092e\u093f\u0932 \u0911\u092a\u0930\u0947\u0936\u0928\u094b\u0902 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\color{red}{\\sqrt{{1-x^2}}}<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">1-x^2<\/span> \u0938\u092d\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify;\">\u0939\u093e\u0932\u093e\u0902\u0915\u093f, \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0915\u0947\u0935\u0932 \u0936\u0942\u0928\u094d\u092f \u092f\u093e \u0936\u0942\u0928\u094d\u092f \u0938\u0947 \u092c\u0921\u093c\u0947 \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0938\u094d\u0935\u0940\u0915\u093e\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify;\">\u0907\u0938\u0938\u0947 \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rlrl}\n\nx\\in Dom(f) &amp; \\leftrightarrow &amp; 0 &amp;\\leq 1-x^2 \\\\\n\n{} &amp; \\leftrightarrow &amp; x^2 &amp;\\leq 1 \\\\\n\n&amp; \\leftrightarrow &amp; |x| &amp;\\leq 1 \\\\\n\n&amp; \\leftrightarrow &amp; -1 &amp;\\leq x \\leq 1 \\\\\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\u0905\u0924\u0903:\\; Dom(f) = \\{x\\in \\mathbb{R}\\;|x| \\leq 1\\} = [-1,1]\n<\/span>\n<p style=\"text-align: justify;\">\u092e\u093e\u0928 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923\u093e\u0924\u094d\u092e\u0915 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u0905\u0927\u093f\u0915 \u091c\u091f\u093f\u0932 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902; \u0938\u0930\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u094b \u092a\u094d\u0930\u0924\u093f\u0932\u094b\u092e \u092b\u0932\u0928 \u0916\u094b\u091c\u0915\u0930 \u0939\u0932 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u0907\u0938 \u0935\u093f\u0937\u092f \u0915\u0940 \u0917\u0939\u0928 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0938\u0947 \u092a\u0939\u0932\u0947, \u092a\u0939\u0932\u0947 \u092b\u0932\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u0914\u0930 \u0905\u0928\u094d\u092f \u0938\u0930\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u093e \u092c\u0947\u0939\u0924\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092c\u0940\u091a, \u0917\u094d\u0930\u093e\u092b\u093c\u093f\u0915\u0932 \u0935\u093f\u0927\u093f\u092f\u093e\u0901, \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u0939\u092e \u091c\u0932\u094d\u0926 \u0939\u0940 \u0926\u0947\u0916\u0947\u0902\u0917\u0947, \u092e\u093e\u0928 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0905\u0927\u093f\u0915\u093e\u0902\u0936 \u0915\u0920\u093f\u0928\u093e\u0907\u092f\u094b\u0902 \u0915\u094b \u0915\u0935\u0930 \u0915\u0930\u0947\u0902\u0917\u0940\u0964<\/p>\n<h3>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0947\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">g(x) =\\displaystyle \\frac{x^2 - 1}{x^2 + 1}<\/span><\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=1049s\" target=\"_blank\" rel=\"noopener\"><strong>\u0921\u094b\u092e\u0947\u0928 \u0915\u094b \u091c\u0932\u094d\u0926\u0940 \u0938\u0947 \u0916\u094b\u091c\u0928\u0947 \u0915\u093e \u090f\u0915 \u0924\u0930\u0940\u0915\u093e<\/strong><\/a> \u0939\u0948 \u092f\u0939 \u0926\u0947\u0916\u0928\u093e \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u0915\u0947 \u0915\u094c\u0928 \u0938\u0947 \u092e\u093e\u0928 \u092b\u0932\u0928 \u0915\u094b \u00ab\u0916\u0930\u093e\u092c\u00bb \u0915\u0930 \u0926\u0947\u0902\u0917\u0947\u0964 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f \u092b\u0932\u0928 \u0924\u092c \u0916\u0930\u093e\u092c \u0939\u094b\u0917\u093e \u091c\u092c \u092d\u093e\u091c\u0915 \u0936\u0942\u0928\u094d\u092f \u0939\u094b \u091c\u093e\u090f\u0917\u093e\u0964 \u092f\u093e\u0928\u0940:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n&amp; x^2 + 1 = 0 \\\\\n\n\\equiv &amp; x^2 = -1 \\\\\n\n\\end{array}<\/span>\n<p style=\"text-align: justify;\">\u091a\u0942\u0901\u0915\u093f \u0915\u094b\u0908 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0907\u0938 \u0936\u0930\u094d\u0924 \u0915\u094b \u092a\u0942\u0930\u093e \u0928\u0939\u0940\u0902 \u0915\u0930 \u0938\u0915\u0924\u0940, \u0907\u0938\u0932\u093f\u090f \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\color{blue}{Dom(g) = \\mathbb{R}}<\/span>\n<p style=\"text-align: justify;\">\u092b\u0932\u0928 \u0915\u0947 \u092e\u093e\u0928 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u093e \u0938\u092c\u0938\u0947 \u0924\u0947\u091c\u093c \u0924\u0930\u0940\u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u0907\u0938\u0915\u093e \u0917\u094d\u0930\u093e\u092b \u0916\u0940\u0902\u091a\u0928\u093e \u0939\u0948\u0964 \u0914\u0930 \u0907\u0938\u0915\u0947 \u0932\u093f\u090f <a href=\"https:\/\/toposuranos.com\/algebra-de-polinomios-de-numeros-reais\/\" rel=\"noopener\" target=\"_blank\">\u092c\u0939\u0941\u092a\u0926 \u0935\u093f\u092d\u093e\u091c\u0928<\/a> \u090f\u0915 \u0905\u091a\u094d\u091b\u093e \u0909\u092a\u0915\u0930\u0923 \u0938\u093e\u092c\u093f\u0924 \u0939\u094b\u0917\u093e\u0964<\/p>\n<p style=\"text-align: justify;\">\u092c\u0939\u0941\u092a\u0926 \u0935\u093f\u092d\u093e\u091c\u0928 \u0915\u0930\u0928\u0947 \u0938\u0947 \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y= \\displaystyle\\frac{x^2-1}{x^2+1} =<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">1<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">-\\displaystyle\\frac{2}{x^2 + 1}<\/span>\n<p style=\"text-align: justify;\">\u0907\u0938 \u0924\u0930\u0939, \u0939\u092e\u0928\u0947 \u092e\u0942\u0932 \u092b\u0932\u0928 \u0915\u094b \u0926\u094b \u0938\u0930\u0932 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u0939\u0948, \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u0939\u092e \u00ab\u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u092d\u093e\u0917\u00bb \u0914\u0930 \u00ab\u092d\u093f\u0928\u094d\u0928 \u092d\u093e\u0917\u00bb \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0928 \u092d\u093e\u0917\u094b\u0902 \u0915\u093e \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u093e \u090f\u0915 \u092c\u093e\u0930 \u092e\u0947\u0902 \u092e\u0942\u0932 \u092b\u0932\u0928 \u0915\u093e \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u0947 \u0938\u0947 \u0915\u0939\u0940\u0902 \u0905\u0927\u093f\u0915 \u0906\u0938\u093e\u0928 \u0939\u0948\u0964<\/p>\n<h3>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0947\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">h(x) =\\displaystyle \\frac{x - 1}{\\sqrt{x+1}}<\/span><\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=1580s\" target=\"_blank\" rel=\"noopener\"><strong>\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/strong><\/a> \u0907\u0938 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928 \u091c\u0932\u094d\u0926\u0940 \u0938\u0947 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0947\u0917\u093e\u0964 \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u092f\u0939 \u092b\u0932\u0928 \u0924\u092d\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u094b\u0917\u093e \u091c\u092c:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rrl}\n\n&amp; 0 &amp; \\lt x + 1 \\\\\n\n\\equiv &amp; -1 &amp; \\lt x \\\\\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify;\">\u0907\u0938\u0932\u093f\u090f, \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">Dom(h)=]-1,+\\infty[.<\/span>\n<p style=\"text-align: justify;\">\u092e\u093e\u0928 \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u093e \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0917\u093e, \u0914\u0930 \u0907\u0938\u0947 \u0938\u0930\u0932 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u090f\u0915 <strong>\u0938\u0902\u0915\u0947\u0924 \u0924\u093e\u0932\u093f\u0915\u093e<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u092b\u0932\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">h(x)<\/span> \u0926\u094b \u092d\u093e\u0917\u094b\u0902 \u0938\u0947 \u092c\u0928\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">h(x)=\\displaystyle\\frac{\\color{green}{x-1}}{\\color{red}{\\sqrt{x+1}}}<\/span>\n<p style=\"text-align: justify;\">\u090a\u092a\u0930\u0940 \u092d\u093e\u0917 <span class=\"katex-eq\" data-katex-display=\"false\">x=1<\/span> \u092a\u0930 \u0936\u0942\u0928\u094d\u092f \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948; \u0914\u0930 \u0928\u093f\u091a\u0932\u093e \u092d\u093e\u0917 <span class=\"katex-eq\" data-katex-display=\"false\">x=-1<\/span> \u092a\u0930 \u0936\u0942\u0928\u094d\u092f \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">x\\lt-1<\/span> \u092a\u0930 \u0905\u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0938\u0947 \u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u0915\u0947\u0924 \u0924\u093e\u0932\u093f\u0915\u093e \u092c\u0928\u093e\u0908 \u091c\u093e\u0924\u0940 \u0939\u0948:<\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x<\/span><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">-\\infty<\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">-1<\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">+1<\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">+\\infty<\/span><\/th>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x-1<\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">-\\infty <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} +\\infty <\/span><\/td>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{x+1}<\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u092e\u094c\u091c\u0942\u0926 \u0928\u0939\u0940\u0902  <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u092e\u094c\u091c\u0942\u0926 \u0928\u0939\u0940\u0902 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} + <\/span><\/td>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{x-1}{\\sqrt{x+1}}<\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u092e\u094c\u091c\u0942\u0926 \u0928\u0939\u0940\u0902 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{}\u092e\u094c\u091c\u0942\u0926 \u0928\u0939\u0940\u0902 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> -\\infty <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{} +\\infty <\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0907\u0938 \u0924\u093e\u0932\u093f\u0915\u093e \u0915\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u0947 \u0938\u093e\u0925, \u0905\u092c \u092b\u0932\u0928 \u0915\u093e \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u093e \u092c\u0939\u0941\u0924 \u0906\u0938\u093e\u0928 \u0939\u0948\u0964<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-mWc6Hza3Wl0\/YNWMYho7pPI\/AAAAAAAAFO4\/0D8zrIeKcc8HY7hlWuvJOWDnYE6Zw--cQCLcBGAsYHQ\/s0\/grafico%2B2.PNG\" alt=\"\u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0938\u0902\u0915\u0947\u0924 \u0924\u093e\u0932\u093f\u0915\u093e \u0915\u0947 \u0938\u093e\u0925 \u0917\u094d\u0930\u093e\u092b\" class=\" aligncenter lazyload\" width=\"498\" height=\"310\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-mWc6Hza3Wl0\/YNWMYho7pPI\/AAAAAAAAFO4\/0D8zrIeKcc8HY7hlWuvJOWDnYE6Zw--cQCLcBGAsYHQ\/s0\/grafico%2B2.PNG\" alt=\"\u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0938\u0902\u0915\u0947\u0924 \u0924\u093e\u0932\u093f\u0915\u093e \u0915\u0947 \u0938\u093e\u0925 \u0917\u094d\u0930\u093e\u092b\" class=\" aligncenter lazyload\" width=\"498\" height=\"310\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0914\u0930 \u0907\u0938\u0915\u0947 \u0938\u093e\u0925, \u0905\u092c \u0921\u094b\u092e\u0947\u0928 \u0914\u0930 \u0930\u0947\u0902\u091c \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u093e \u090f\u0915 \u0906\u0938\u093e\u0928 \u0915\u093e\u092e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(h)=]-1,+\\infty[<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(h)=\\mathbb{R}<\/span>\n<h3>\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u093f\u0924 \u0905\u092d\u094d\u092f\u093e\u0938<\/h3>\n<p style=\"text-align: justify;\">\u0939\u092e\u0928\u0947 \u0905\u092d\u0940 \u091c\u094b \u0909\u092a\u0915\u0930\u0923 \u0926\u0947\u0916\u0947 \u0939\u0948\u0902, \u0909\u0928\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092b\u0932\u0928 \u0915\u0947 \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u093e \u092a\u0924\u093e \u0932\u0917\u093e\u090f\u0902:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x) = \\displaystyle\\frac{4x^3 + 6x^2 -2x + 1}{x^2-4}<\/span>\n","protected":false},"excerpt":{"rendered":"<p>\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0938\u093e\u0930\u093e\u0902\u0936: \u092f\u0939 \u0915\u0915\u094d\u0937\u093e \u092b\u0932\u0928\u094b\u0902 \u0915\u0947 \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u093e \u092a\u0930\u093f\u091a\u092f \u0926\u0947\u0924\u0940 \u0939\u0948, \u0914\u0930 \u0909\u0928\u094d\u0939\u0947\u0902 \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u0947 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u092a\u0930 \u0932\u093e\u0917\u0942 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0907\u0928 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0917\u094d\u0930\u093e\u092b\u093c\u093f\u0915\u0932 \u0914\u0930 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923\u093e\u0924\u094d\u092e\u0915 \u0924\u0915\u0928\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0940 \u091c\u093e\u090f\u0917\u0940\u0964 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f: \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0902\u0924 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29058,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":0,"footnotes":""},"categories":[577,593],"tags":[],"class_list":["post-29065","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-577","category-593"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/hi\/\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f-\u092b\u0932\u0928\u094b\u0902-\u0915\u093e-\u0921\u094b\u092e\u0947\u0928\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\" \/>\n<meta property=\"og:description\" content=\"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/hi\/\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f-\u092b\u0932\u0928\u094b\u0902-\u0915\u093e-\u0921\u094b\u092e\u0947\u0928\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-26T13:00:17+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-09-22T07:08:27+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos-1024x466.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\" \/>\n<meta name=\"twitter:description\" content=\"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\",\"datePublished\":\"2021-06-26T13:00:17+00:00\",\"dateModified\":\"2024-09-22T07:08:27+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/\"},\"wordCount\":426,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg\",\"articleSection\":[\"\u0917\u0923\u093f\u0924\",\"\u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0914\u0930 \u0930\u0947\u0916\u093e\u0917\u0923\u093f\u0924\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/\",\"url\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/\",\"name\":\"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b - toposuranos.com\/material\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg\",\"datePublished\":\"2021-06-26T13:00:17+00:00\",\"dateModified\":\"2024-09-22T07:08:27+00:00\",\"description\":\"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\",\"breadcrumb\":{\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg\",\"width\":1792,\"height\":815},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/toposuranos.com\/material\/#website\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"name\":\"toposuranos.com\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/toposuranos.com\/material\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\",\"name\":\"toposuranos.com\/material\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\/material\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/groups\/toposuranos\",\"https:\/\/x.com\/topuranos\",\"https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\/\/www.linkedin.com\/company\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\/\/toposuranos.com\/material\"],\"url\":\"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b - toposuranos.com\/material","description":"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/hi\/\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f-\u092b\u0932\u0928\u094b\u0902-\u0915\u093e-\u0921\u094b\u092e\u0947\u0928\/","og_locale":"es_ES","og_type":"article","og_title":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b","og_description":"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964","og_url":"http:\/\/toposuranos.com\/material\/hi\/\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f-\u092b\u0932\u0928\u094b\u0902-\u0915\u093e-\u0921\u094b\u092e\u0947\u0928\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-06-26T13:00:17+00:00","article_modified_time":"2024-09-22T07:08:27+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos-1024x466.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b","twitter_description":"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b","datePublished":"2021-06-26T13:00:17+00:00","dateModified":"2024-09-22T07:08:27+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/"},"wordCount":426,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg","articleSection":["\u0917\u0923\u093f\u0924","\u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0914\u0930 \u0930\u0947\u0916\u093e\u0917\u0923\u093f\u0924"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/","url":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/","name":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg","datePublished":"2021-06-26T13:00:17+00:00","dateModified":"2024-09-22T07:08:27+00:00","description":"\u0915\u093f\u0938\u0940 \u092b\u0932\u0928 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 \u0921\u094b\u092e\u0947\u0928 \u0909\u0938 \u092b\u0932\u0928 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0930\u0947\u0902\u091c \u0938\u0902\u092d\u0935 \u0906\u0909\u091f\u092a\u0941\u091f \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/06\/graficos.jpg","width":1792,"height":815},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a5%80%e0%a4%9c%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a4%be-%e0%a4%a1%e0%a5%8b%e0%a4%ae%e0%a5%87%e0%a4%a8\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u0921\u094b\u092e\u0947\u0928, \u0930\u0947\u0902\u091c \u0914\u0930 \u0917\u094d\u0930\u093e\u092b"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/29065","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=29065"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/29065\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/29058"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=29065"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=29065"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=29065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}