{"id":30714,"date":"2021-04-06T13:00:05","date_gmt":"2021-04-06T13:00:05","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=30714"},"modified":"2025-01-01T06:19:28","modified_gmt":"2025-01-01T06:19:28","slug":"%e0%a4%a5%e0%a4%b0%e0%a5%8d%e0%a4%ae%e0%a5%8b%e0%a4%a1%e0%a4%be%e0%a4%af%e0%a4%a8%e0%a4%be%e0%a4%ae%e0%a4%bf%e0%a4%95%e0%a5%8d%e0%a4%b8-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%b8%e0%a5%82%e0%a4%95%e0%a5%8d","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%a5%e0%a4%b0%e0%a5%8d%e0%a4%ae%e0%a5%8b%e0%a4%a1%e0%a4%be%e0%a4%af%e0%a4%a8%e0%a4%be%e0%a4%ae%e0%a4%bf%e0%a4%95%e0%a5%8d%e0%a4%b8-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%b8%e0%a5%82%e0%a4%95%e0%a5%8d\/","title":{"rendered":"\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u093e\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e"},"content":{"rendered":"<style>\n\tp, ul, ol {\n\t\ttext-align: justify;\n\t}\n\th1, h2 {\n\ttext-align:center;\n\t}\n<\/style>\n<h1>\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e<\/h1>\n<p style=\"text-align:center;\"><em>\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0906\u092a \u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0905\u0902\u0924\u0930 \u0915\u0930\u0928\u093e \u0938\u0940\u0916\u0947\u0902\u0917\u0947, \u092f\u0939 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\u091c\u094b\u0921\u093c\u0928\u093e\u0964<\/li>\n<li>\u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u0938\u0902\u0917\u093f\u0915\u0924\u093e \u0915\u094b \u0909\u091c\u093e\u0917\u0930 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0924\u093e\u092a\u0940\u092f \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0928\u093e\u0964<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong><u>\u0938\u093e\u092e\u0917\u094d\u0930\u0940 \u0915\u0940 \u0938\u0942\u091a\u0940<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 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name=\"1\"><\/a><\/p>\n<h2>\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u093e \u0905\u0902\u0924\u0930<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=O5RKp4Dt8Z0&amp;t=7s\" target=\"_blank\" rel=\"noopener\"><strong>\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0902\u0924\u0930 <\/strong><\/a>\u092f\u0939 \u0939\u0948 \u091c\u094b \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0947 \u092c\u0940\u091a \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 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\u0935\u093f\u091a\u093e\u0930\u094b\u0902 \u0915\u0940 \u092a\u0939\u0932\u0940 \u0938\u092e\u091d \u0915\u0947 \u0932\u093f\u090f \u0938\u0939\u093e\u092f\u0915 \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u0905\u0915\u0947\u0932\u0947 \u092f\u0939 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0947 \u0905\u0930\u094d\u0925 \u0915\u094b \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u0928\u0939\u0940\u0902 \u0926\u0930\u094d\u0936\u093e\u0924\u093e\u0964<\/p>\n<p>\u0907\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u0914\u0930 \u0905\u0927\u093f\u0915 \u0938\u091f\u0940\u0915\u0924\u093e \u0938\u0947 \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0906\u0907\u090f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902:<\/p>\n<h3>\u092e\u0941\u0926\u094d\u0930\u093e\u0913\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902 \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/h3>\n<p><strong><a href=\"https:\/\/www.youtube.com\/watch?v=O5RKp4Dt8Z0&amp;t=218s\" target=\"_blank\" rel=\"noopener\">\u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0947\u0902 \u0915\u093f \u0906\u092a\u0915\u0947 \u092a\u093e\u0938 100 \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u093e \u090f\u0915 \u0921\u093f\u092c\u094d\u092c\u093e \u0939\u0948,<\/a><\/strong> \u091c\u094b \u0939\u0930 \u0938\u092e\u092f \u092c\u0902\u0926 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u092a \u0907\u0938 \u0921\u093f\u092c\u094d\u092c\u0947 \u0915\u094b \u092c\u0939\u0941\u0924 \u091c\u094b\u0930 \u0938\u0947 \u0939\u093f\u0932\u093e\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0938\u093f\u0915\u094d\u0915\u0947 \u0909\u0938\u0915\u0947 \u0905\u0902\u0926\u0930 \u0909\u091b\u0932\u0947\u0902\u0917\u0947 \u0914\u0930 \u0915\u093f\u0938\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0917\u093f\u0930\u0947\u0902\u0917\u0947: \u0939\u0947\u0921 \u092f\u093e \u091f\u0947\u0932\u0964 \u092a\u0942\u0930\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u092e\u0947\u0902 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u093e \u090f\u0915 \u0935\u093f\u0936\u093e\u0932 \u0938\u0947\u091f \u0939\u094b\u0917\u093e: <span class=\"katex-eq\" data-katex-display=\"false\">2^{100}<\/span> \u0915\u0941\u0932 (\u0909\u0938 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0940 \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0947\u0902!), \u0914\u0930 \u092f\u0939\u093e\u0901 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0939\u0947\u0921 \u0914\u0930 \u091f\u0947\u0932 \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e\u090f\u0902 \u091c\u094b \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0907\u0928 \u0938\u092d\u0940 \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u092e\u093e\u0928 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e <span class=\"katex-eq\" data-katex-display=\"false\">1\/2^{100}<\/span> \u0939\u0948\u0964<\/p>\n<h4>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0936\u0947\u0937 \u0938\u0902\u0930\u091a\u0928\u093e \u090f\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0939\u0948<\/h4>\n<p>\u0939\u092e \u0915\u0939\u0947\u0902\u0917\u0947 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0936\u0947\u0937 \u0938\u0902\u0930\u091a\u0928\u093e \u0907\u0938 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0940 \u090f\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092a\u0939\u0932\u093e \u0938\u093f\u0915\u094d\u0915\u093e \u0939\u0947\u0921 \u0906\u0924\u093e \u0939\u0948, \u0926\u0942\u0938\u0930\u093e \u091f\u0947\u0932, \u0924\u0940\u0938\u0930\u093e \u0939\u0947\u0921, \u0914\u0930 \u0907\u0938\u0940 \u0924\u0930\u0939&#8230; \u0915\u093f\u0938\u0940 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0940 \u092a\u0939\u091a\u093e\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u0917\u0924 \u0930\u0942\u092a \u0938\u0947 \u092a\u0939\u091a\u093e\u0928\u0928\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948, \u091c\u094b \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u092c\u0939\u0941\u0924 \u092d\u093e\u0930\u0940 \u0915\u093e\u092e \u0939\u0948\u0964<\/p>\n<h4>\u090f\u0915 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0909\u0928 \u0938\u092d\u0940 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u093e \u092a\u0930\u093f\u0935\u093e\u0930 \u0939\u0948 \u091c\u093f\u0928\u092e\u0947\u0902 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0917\u0941\u0923 \u0939\u094b\u0924\u093e \u0939\u0948<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=O5RKp4Dt8Z0&amp;t=372s\" target=\"_blank\" rel=\"noopener\"><strong>\u0907\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u091c\u093e\u092f,<\/strong><\/a> \u0939\u092e \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u094b \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0917\u0941\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0935\u0930\u094d\u0917\u0940\u0915\u0943\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902: \u091c\u093f\u0928\u0915\u0947 \u092a\u093e\u0938 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0939\u0947\u0921 \u0939\u0948, \u091c\u093f\u0928\u0915\u0947 \u092a\u093e\u0938 2 \u0939\u0947\u0921 \u0939\u0948\u0902, \u091c\u093f\u0928\u0915\u0947 \u092a\u093e\u0938 3 \u0939\u0947\u0921 \u0939\u0948\u0902, \u0906\u0926\u093f&#8230; \u0938\u0902\u092f\u094b\u091c\u0915\u0924\u093e \u0915\u0947 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0915\u0947 \u0939\u092e \u092f\u0939 \u092a\u093e\u090f\u0902\u0917\u0947 \u0915\u093f \u0935\u0947 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902 \u091c\u093f\u0928\u0915\u0947 \u092a\u093e\u0938<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>0 \u0939\u0947\u0921 \u0914\u0930 100 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{0}} = \\frac{100!}{(100 - 0)! 0!} = 1 <\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e<\/li>\n<li>1 \u0939\u0947\u0921 \u0914\u0930 99 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{100}\\choose{1}} = \\frac{100!}{(100 - 1)! 1!}= \\frac{100!}{99!} = 100 <\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<li>2 \u0939\u0947\u0921 \u0914\u0930 98 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{100}\\choose{2}} = \\frac{100!}{(100 - 2)! 2!}= \\frac{100!}{98!2!} = \\frac{99\\cdot 100}{2} = 99 \\cdot 50 = 4950 <\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>49 \u0939\u0947\u0921 \u0914\u0930 51 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{49}} = \\frac{100!}{(100 - 49)! 49!}= \\frac{100!}{51!49!}\\approx 9.89\\cdot 10^{28}<\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<li>50 \u0939\u0947\u0921 \u0914\u0930 50 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{50}} = \\frac{100!}{(100 - 50)! 50!}= \\frac{100!}{50!50!}\\approx 10^{29}<\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<li>51 \u0939\u0947\u0921 \u0914\u0930 49 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{51}} = \\frac{100!}{(100 - 51)! 51!}= \\frac{100!}{49!51!}\\approx 9.89\\cdot 10^{28}<\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<li>52 \u0939\u0947\u0921 \u0914\u0930 48 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{52}} = \\frac{100!}{(100 - 52)! 52!}= \\frac{100!}{48!52!}\\approx 9.32\\cdot 10^{28}<\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>70 \u0939\u0947\u0921 \u0914\u0930 30 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{70}} = \\frac{100!}{(100 - 70)! 70!}= \\frac{100!}{30!70!}\\approx 2.93\\cdot 10^{25}<\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span>\n<ul>\n<li>100 \u0939\u0947\u0921 \u0914\u0930 0 \u091f\u0947\u0932 \u0939\u0948\u0902: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{100}\\choose{100}} = \\frac{100!}{(100 - 100)! 100!}= \\frac{100!}{0!100!} = 1<\/span> \u0915\u0941\u0932 \u0905\u0935\u0938\u094d\u0925\u093e<\/li>\n<\/ul>\n<p>\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u00ab0 \u0939\u0947\u0921\u00bb \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0939\u094b\u0924\u0940 \u0939\u0948, \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u00ab1 \u0939\u0947\u0921\u00bb \u092e\u0947\u0902 100 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u00ab2 \u0939\u0947\u0921\u00bb \u092e\u0947\u0902 4950 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0914\u0930 \u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u0906\u0917\u0947\u0964<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0947 \u0917\u0941\u0923<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=O5RKp4Dt8Z0&amp;t=607s\" target=\"_blank\" rel=\"noopener\"><strong>\u0906\u092e \u0924\u094c\u0930 \u092a\u0930, \u090f\u0915 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e<\/strong><\/a> \u0915\u0908 \u0938\u092e\u093e\u0928 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0935\u093e\u0932\u0947 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0938\u0947 \u092c\u0928\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p>\u0939\u093e\u0932\u093e\u0902\u0915\u093f \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902 \u0938\u092d\u0940 \u0938\u092e\u093e\u0928 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0935\u093e\u0932\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u090f\u0902 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u0910\u0938\u0940 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964 \u0915\u093f\u0938\u0940 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0909\u0938\u0915\u0947 \u0905\u0902\u0926\u0930 \u0936\u093e\u092e\u093f\u0932 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0938\u092c\u0938\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0935\u0939 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b\u0964<\/p>\n<p>\u0924\u093e\u092a\u0940\u092f \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u093e\u0902 \u0932\u0917\u092d\u0917 \u0909\u0938\u0940 \u0924\u0930\u0939 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 \u091c\u0948\u0938\u093e \u0939\u092e\u0928\u0947 \u0905\u092d\u0940-\u0905\u092d\u0940 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u092e\u0947\u0902 \u0926\u0947\u0916\u093e\u0964 \u090f\u0915 \u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u093e\u092e\u093f\u0915 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u092e\u0947\u0902 \u090f\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u094b \u0928\u093f\u0930\u094d\u0926\u093f\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0909\u0928 \u092a\u0930\u093f\u092e\u093e\u0923\u094b\u0902 \u0915\u094b \u0928\u093f\u0930\u094d\u0926\u093f\u0937\u094d\u091f \u0915\u0930\u0928\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 \u091c\u094b \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0938\u094d\u0924\u0930 \u092a\u0930 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0940 \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u094b \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902: \u092f\u0939 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f, \u0917\u0924\u093f \u092f\u093e \u090a\u0930\u094d\u091c\u093e \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948 \u091c\u094b \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>\u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u092e\u0947\u0902, \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u094b \u092e\u093e\u092a\u0928\u093e \u0905\u0938\u0902\u092d\u0935 \u0939\u0948\u0964 \u0926\u0942\u0938\u0930\u0940 \u0913\u0930, \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u094b \u0915\u0947\u0935\u0932 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0947 \u0938\u094d\u0925\u0942\u0932 \u0917\u0941\u0923\u094b\u0902 \u091c\u0948\u0938\u0947 \u0915\u093f \u0926\u092c\u093e\u0935, \u0915\u0941\u0932 \u090a\u0930\u094d\u091c\u093e, \u092f\u093e \u0906\u092f\u0924\u0928 \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0935\u0930\u094d\u0923\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 <span class=\"katex-eq\" data-katex-display=\"false\">35[kPa]<\/span> \u0915\u0947 \u0926\u092c\u093e\u0935 \u092a\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">2[m^3]<\/span> \u0906\u092f\u0924\u0928 \u0915\u0940 \u090f\u0915 \u0938\u094d\u0925\u0942\u0932 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u0908 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0906\u092a \u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0905\u0902\u0924\u0930 \u0915\u0930\u0928\u093e \u0938\u0940\u0916\u0947\u0902\u0917\u0947, \u092f\u0939 \u091c\u093e\u0928\u0947\u0902\u0917\u0947 \u0915\u093f \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0940 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0938\u0902\u0930\u091a\u0928\u093e\u090f\u0902 \u0909\u0938\u0915\u0940 \u0938\u094d\u0925\u0942\u0932 \u0917\u0941\u0923\u0927\u0930\u094d\u092e\u094b\u0902 \u0915\u094b \u0915\u0948\u0938\u0947 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964 \u0920\u094b\u0938 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947, \u091c\u0948\u0938\u0947 \u0915\u093f \u092c\u0939\u0941-\u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0935\u093e\u0932\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0902\u092f\u094b\u091c\u0915\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e, \u0906\u092a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":30705,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":1,"footnotes":""},"categories":[927,643],"tags":[],"class_list":["post-30714","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-927","category-643"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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\u092e\u0947\u0902 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0905\u0935\u0938\u094d\u0925\u093e \u0914\u0930 \u0938\u094d\u0925\u0942\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u094b \u0905\u0932\u0917 \u0915\u0930\u0928\u093e \u0938\u0940\u0916\u0947\u0902 \u0914\u0930 \u092f\u0939 \u0938\u092e\u091d\u0947\u0902 \u0915\u093f \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0917\u0941\u0923 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0947 \u0938\u094d\u0925\u0942\u0932 \u0917\u0941\u0923\u094b\u0902 \u0938\u0947 \u0915\u0948\u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/hi\/\u0925\u0930\u094d\u092e\u094b\u0921\u093e\u092f\u0928\u093e\u092e\u093f\u0915\u094d\u0938-\u092e\u0947\u0902-\u0938\u0942\u0915\u094d\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" 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