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\u0627\u0644\u0623\u0645\u0631 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0623\u0633 \u0635\u0641\u0631\u0627 \u0623\u0648 \u0639\u062f\u062f\u0627 \u0635\u062d\u064a\u062d\u0627 \u0633\u0627\u0644\u0628\u0627 \u0623\u0648 \u0643\u0633\u0631\u0627 \u0623\u0648 \u0639\u062f\u062f\u0627 \u0646\u0633\u0628\u064a\u0627 \u0639\u0645\u0648\u0645\u0627 \u0623\u0648 \u0639\u062f\u062f\u0627 \u063a\u064a\u0631 \u0646\u0633\u0628\u064a \u0623\u0648 \u0639\u062f\u062f\u0627 \u062a\u062e\u064a\u0644\u064a \u0623\u0648\u0645\u0631\u0643\u0628!<\/p>\n<p>\u0648\u0628\u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0627\u0646\u0646\u0627 \u0646\u0637\u0645\u062d \u0627\u0644\u064a \u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u0643\u062b\u064a\u0631 \u0627\u0644\u0627 \u0623\u0646 \u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062d\u0644 \u0633\u062a\u0628\u0642\u064a \u062f\u0627\u0626\u0645\u0627 \u062b\u0627\u0628\u062a\u0629: \u0633\u0646\u0628\u062f\u0623 \u062f\u0627\u0626\u0645\u0627 \u0645\u0646 \u0642\u064a\u0645\u0629 \u0623\u0633\u064a\u0629. \u062b\u0645 \u0646\u062d\u0644\u0644 \u0627\u0644\u0623\u0633 \u0627\u0644\u0649 \u0623\u0639\u062f\u0627\u062f \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0649 \u0628\u0639\u0636\u0647\u0627. \u0623\u062d\u062f \u0647\u0630\u0647 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0647\u0648 \u0639\u062f\u062f \u064a\u0647\u0645\u0646\u0627 \u0627\u0646 \u0646\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0627\u0644\u0623\u0633 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0647. \u062b\u0645 \u0646\u062d\u0648\u0644 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062c\u0645\u0639 \u0641\u0649 \u0627\u0644\u0623\u0633 \u0627\u0644\u0649 \u0639\u0645\u0644\u064a\u0627\u062a \u0636\u0631\u0628 \u0645\u062a\u0644\u0627\u062d\u0645\u0629 \u0643\u0645\u0627 \u062a\u0642\u0648\u0644 \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0627\u0648\u0644\u0649. \u0628\u0639\u062f \u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u0627\u0644\u0642\u0633\u0645\u0629 \u0644\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0627\u0644\u0644\u062a\u0649 \u0646\u0633\u0639\u0649 \u0648\u0631\u0627\u0621\u0647\u0627.<\/p>\n<p align=\"right&quot;\">\u062f\u0639\u0648\u0646\u0627 \u0646\u0628\u062f\u0623 \u0628\u0627\u0644\u0635\u0641\u0631 \u062d\u064a\u062b \u064a\u0639\u0644\u0645 \u0645\u0639\u0638\u0645\u0646\u0627 \u0627\u0646 5 \u0623\u0633 \u0635\u0641\u0631 \u062a\u0639\u0637\u0649 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u062d\u062f\u0627. \u0644\u0643\u0646 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0646 \u0646\u062b\u0628\u062a \u0630\u0644\u0643 \u0631\u064a\u0627\u0636\u064a\u0627\u061f \u0639\u0644\u064a\u0646\u0627 \u0641\u0642\u0637 \u0627\u0646 \u0646\u062a\u0628\u0639 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0648\u0646\u0641\u0639\u0644 \u0627\u0644\u062a\u0627\u0644\u064a<\/p>\n<p align=\"LEFT\">5<sup>0+3<\/sup> = 5<sup>3<\/sup><br \/>\n5<sup>0<\/sup>.5<sup>3<\/sup> = 5<sup>3<\/sup><\/p>\n<p align=\"LEFT\">\u0628\u0642\u0633\u0645\u0629 \u0637\u0631\u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0639\u0644\u0649 5<sup>3 <\/sup> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649<br \/>\n5<sup>0<\/sup> = 1<\/p>\n<p align=\"right&quot;\">\u0648\u062f\u0639\u0648\u0646\u0627 \u0646\u0641\u0639\u0644 \u0646\u0641\u0633 \u0627\u0644\u0634\u0626 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0623\u0633 \u0627\u0644\u0633\u0627\u0644\u0628. \u0641\u0646\u0639\u0644\u0645 \u0645\u062b\u0644\u0627 \u0627\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633 \u0633\u0627\u0644\u0628 \u0627\u062b\u0646\u064a\u0646 \u062a\u0639\u0637\u0649 \u0642\u064a\u0645\u0629 \u0645\u0648\u062c\u0628\u0629 \u062a\u0633\u0627\u0648\u0649 1\/25 \u0644\u0643\u0646 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0646 \u0646\u062b\u0628\u062a \u0630\u0644\u0643 \u0631\u064a\u0627\u0636\u064a\u0627\u061f \u0639\u0644\u064a\u0646\u0627 \u0627\u0646 \u0646\u062a\u0628\u0639 \u0646\u0641\u0633 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0648\u0646\u0628\u062f\u0623 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u062e\u0645\u0633\u0629 \u0627\u0633 \u0635\u0641\u0631 \u0627\u0644\u0644\u062a\u0649 \u0639\u0631\u0641\u0646\u0627\u0647\u0627 \u062a\u0648\u0627 \u0648\u0646\u062d\u0644\u0644 \u0627\u0644\u0635\u0641\u0631 \u0627\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0639\u062f\u062f\u064a\u0646 2 \u0648 \u0633\u0627\u0644\u0628 2 \u0644\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0645\u0631\u062c\u0648\u0629 \u0623\u0648:<\/p>\n<p>1 = 5<sup>0<\/sup><br \/>\n1= 5<sup>-2+2<br \/>\n<\/sup>1 = 5<sup>-2 <\/sup>. 5<sup>2<br \/>\n<\/sup>1\/5<sup>2<\/sup> = 5<sup>-2<\/sup><\/p>\n<p align=\"right&quot;\">\u062b\u0645 \u062f\u0639\u0648\u0646\u0627 \u0646\u0641\u0639\u0644 \u0646\u0641\u0633 \u0627\u0644\u0623\u0645\u0631 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0643\u0633\u0648\u0631! \u0641\u0645\u0627\u0630\u0627 \u0639\u0646 \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 \u062e\u0645\u0633\u0629 \u0627\u0633 \u062b\u0644\u062b\u061f \u0646\u0639\u0644\u0645 \u0627\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0633\u062a\u0643\u0648\u0646 \u0647\u0649 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u0649 \u0644\u062e\u0645\u0633\u0629 \u0644\u0643\u0646 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0646 \u0646\u062b\u0628\u062a \u0630\u0644\u0643\u061f \u0639\u0644\u064a\u0646\u0627 \u0627\u0646 \u0646\u0646\u0637\u0644\u0642 \u0645\u0646 5 \u0627\u0633 \u0648\u0627\u062d\u062f \u062b\u0645 \u0646\u062d\u0648\u0644 \u0627\u0644\u0648\u0627\u062d\u062f \u0627\u0644\u0649 3 \u0645\u0631\u0627\u062a \u0627\u0644\u062b\u0644\u062b \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0649 \u0646\u0641\u0633\u0647 \u0644\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0623\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a<\/p>\n<p>5 = 5<sup>1<\/sup><br \/>\n5= 5<sup>1\/3+1\/3+1\/3<br \/>\n<\/sup>5 = 5<sup>1\/3 <\/sup>. 5<sup>1\/3 <\/sup>. 5<sup>1\/3<br \/>\n<\/sup>5 = (5<sup>1\/3<\/sup>)<sup>3<br \/>\n<\/sup>5\u221a3 = 5<sup>1\/3<\/sup><\/p>\n<p align=\"right&quot;\">\u0644\u0643\u0646 \u0645\u0627\u0630\u0627 \u0639\u0646 \u062d\u0633\u0627\u0628 5 \u0627\u0633 2\/3 \u061f \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0646 \u0646\u062d\u0648\u0644 2\/3 \u0627\u0644\u064a 1\/3 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0649 \u0646\u0641\u0633\u0647\u0627 \u0645\u0631\u062a\u064a\u0646<\/p>\n<p>5<sup>1\/3+1\/3<\/sup>= 5<sup>2\/3<\/sup><br \/>\n5<sup>1\/3 <\/sup>. 5<sup>1\/3 <\/sup>= 5<sup>2\/3<br \/>\n<\/sup> <sup>2<\/sup>(5<sup>1\/3<\/sup>)= 5<sup>2\/3<br \/>\n<\/sup><sup>2<\/sup>(5\u221a3) = 5<sup>2\/3<\/sup><\/p>\n<p>\u0623\u0648\u00a0 \u0639\u0645\u0648\u0645\u0627 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<br \/>\n(n\u221aa)<sup>m<\/sup> = a<sup>m\/n <\/sup><span style=\"font-family: Tahoma;\">\u0648\u062d\u064a\u062b \u0623\u0646\u0646\u0627 \u0646\u0639\u0644\u0645 \u0623\u0646 \u0623\u064a \u0639\u062f\u062f \u0639\u0634\u0631\u064a \u064a\u0645\u0643\u0646 \u062a\u062d\u0648\u064a\u0644\u0647 \u0627\u0644\u0649 \u0643\u0633\u0631 \u0641\u064a\u0643\u0648\u0646 \u0645\u0639\u0646\u0649<\/span><\/p>\n<p>5.5\u221a5 = 5<sup>1+1+1\/2<\/sup>= 5<sup>2.5<\/sup><\/p>\n<p align=\"right&quot;\">\u00a0\u0644\u0643\u0646 \u0645\u0627\u0630\u0627 \u0639\u0646 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u063a\u064a\u0631 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u061f \u0641\u0646\u062d\u0646 \u0643\u0645\u0627 \u0646\u0639\u0644\u0645\u00a0 \u0623\u0646\u0646\u0627 \u0644\u0627\u0646\u0633\u062a\u0637\u064a\u0639 \u0627\u0646 \u0646\u0639\u0628\u0631 \u0639\u0646\u0647\u0627 \u0641\u0649 \u0635\u0648\u0631\u0629 \u0646\u0633\u0628\u0629. \u0627\u0644\u0645\u0633\u0627\u0639\u062f\u0629 \u062a\u0623\u062a\u064a \u0647\u0646\u0627 \u0645\u0646 \u062a\u0639\u0631\u064a\u0641 \u0643\u0627\u0646\u062a\u0648\u0631 Cantor \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u063a\u064a\u0631 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u062f\u0644\u0627\u0644\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629. \u0641\u0642\u062f \u0639\u0631\u0641\u0647\u0627 \u0628\u0627\u0646\u0647\u0627 \u0645\u062a\u062a\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0646\u0647\u0627\u064a\u062a\u0647\u0627 \u0647\u0649 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u063a\u064a\u0631 \u0646\u0633\u0628\u064a \u0627\u0644\u0645\u0637\u0644\u0648\u0628. \u0645\u062b\u0627\u0644 \u0644\u0644\u0639\u062f\u062f \u062c\u0630\u0631 2 \u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629<br \/>\na(0)=1.0<br \/>\na(1)=1.4<br \/>\na(2)=1.41<br \/>\na(3)=1.414<br \/>\n\u0627\u0644\u0649 \u0627\u062e\u0631\u0647<\/p>\n<p align=\"right&quot;\">\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0643\u0648\u0646 \u0642\u064a\u0645\u0629 <sup>2\u221a <\/sup>5 \u0647\u064a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a\u0629<\/p>\n<p>a(0)=5<sup>1<br \/>\n<\/sup>a(1)=5<sup>1.4<br \/>\n<\/sup>a(2)=5<sup>1.41<br \/>\n<\/sup>a(3)=5<sup>1.414<\/sup><\/p>\n<p>\u0627\u0648 \u0627\u0646 <sup>2\u221a <\/sup>5\u2248 5<sup>1.414213562<\/sup><\/p>\n<div id=\"attachment_4497\" style=\"width: 230px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/eltawil.org\/sciencewonders\/wp-content\/uploads\/2015\/08\/imaginary.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4497\" class=\"size-full wp-image-4497\" alt=\"\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0648\u0627\u0644\u0642\u0637\u0628\u064a\u064a\u0629\" src=\"http:\/\/eltawil.org\/sciencewonders\/wp-content\/uploads\/2015\/08\/imaginary.png\" width=\"220\" height=\"237\" \/><\/a><p id=\"caption-attachment-4497\" class=\"wp-caption-text\">\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0648\u0627\u0644\u0642\u0637\u0628\u064a\u064a\u0629<\/p><\/div>\n<p align=\"right&quot;\">\u0627\u0644\u0627\u0646 \u0646\u0635\u0644 \u0627\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062a\u062e\u064a\u0644\u064a\u0629. \u0644\u0643\u0646 \u062f\u0639\u0648\u0646\u0627 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name=\"yui_3_17_2_4_1440232711882_11822\"><\/a> ln(i) = ln[1,\u03c0\/2] = ln(1)+\u03c0\/2i = \u03c0\/2i<\/p>\n<p align=\"right&quot;\">\u0648\u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0633\u0646\u062d\u062a\u0627\u062c\u0647\u0627 \u0644\u0627\u062d\u0642\u0627.<\/p>\n<p align=\"right&quot;\">\u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0647\u0649 \u0627\u0644\u062e\u0637\u0648\u0629\u00a0 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0648\u0641\u064a\u0647\u0627 \u0633\u0646\u062c\u0631\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0623\u0649 \u0631\u0642\u0645\u064a\u0646 \u0645\u0631\u0643\u0628\u064a\u0646 w<sup>z\u00a0<\/sup> \u0628\u0639\u062f \u0627\u0646 \u062a\u0639\u0644\u0645\u0646\u0627 \u0627\u062c\u0631\u0627\u0621\u0647\u0627 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0623\u0633\u0627\u0633 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