\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648<\/title> <\/head> <body><\/p>\n<div style=\"padding:20px;\">\n<center><\/p>\n<h1>\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648<\/h1>\n\u0645\u0644\u062e\u0635<\/b> \n\u062a\u062a\u0646\u0627\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u0641\u0635\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648: \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062f \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629. \u0643\u0645\u0627 \u062a\u0634\u0631\u062d \u0643\u064a\u0641 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0645\u0648\u0632 \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u062e\u0644\u0641\u0627\u0621 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0631\u0645\u0632\u064a\u064b\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0626\u064a\u0629.<\/em><\/p>\n\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645<\/b><\/p>\n<\/center><\/p>\n<ol>\n<li>\u0641\u0647\u0645<\/strong> \u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648 \u0644\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629.<\/li>\n<li>\u0641\u0647\u0645<\/strong> \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0645\u0632\u064a \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. <\/li>\n<\/ol>\n<center><\/p>\n\u0627\u0644\u0641\u0647\u0631\u0633<\/strong><\/p>\n<a href=\"#1\">\u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/strong><\/a> \n<a href=\"#2\">\u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0641\u064a \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/strong><\/a> \n<a href=\"#1\">\u062a\u0639\u0644\u064a\u0642 \u0639\u0644\u0649 \u0627\u0644\u0625\u062b\u0628\u0627\u062a\u0627\u062a<\/a><\/p>\n<\/center><\/p>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/w-BznjX88No\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/div>\n<a name=\"1\"><\/a><\/p>\n<h2>\u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/h2>\n\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/em>\u060c \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0627\u0644\u0645\u0648\u062c\u0628\u0629<\/em>\u060c \u0647\u064a \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062a\u064a \u0646\u0633\u062a\u062e\u062f\u0645\u0647\u0627 \u0644\u0644\u0639\u062f \u0648\u0627\u0644\u0642\u064a\u0627\u0633. \u062a\u0638\u0647\u0631 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0639\u0646\u062f \u0627\u0644\u0639\u062f\u060c \u0648\u0647\u064a \u0623\u0628\u0633\u0637 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628. \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0647\u0630\u0647 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648<\/em><\/strong>\u060c \u0648\u0647\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062f \u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 \u0647\u0630\u0647 \u0627\u0644\u0623\u0639\u062f\u0627\u062f.<\/p>\n<ol style=\"text-align: justify;;\">\n<li>\u00ab1<\/span>\u00bb \u0647\u0648 \u0639\u062f\u062f \u0637\u0628\u064a\u0639\u064a<\/li>\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 n<\/span> \u0639\u062f\u062f\u064b\u0627 \u0637\u0628\u064a\u0639\u064a\u064b\u0627\u060c \u0641\u0625\u0646 \u062e\u0644\u0641\u0647 S(n)<\/span> \u0647\u0648 \u0643\u0630\u0644\u0643.<\/li>\n<li>\u00ab1<\/span>\u00bb \u0644\u064a\u0633 \u062e\u0644\u0641\u064b\u0627 \u0644\u0623\u064a \u0639\u062f\u062f \u0637\u0628\u064a\u0639\u064a.<\/li>\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 S(n) = S(m)<\/span>\u060c \u0641\u0625\u0646 n=m<\/span>.<\/li>\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 1<\/span> \u064a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0639\u064a\u0646\u0629 A<\/span>\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646\u060c \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 k<\/span> \u0645\u0639\u064a\u0646 \u0641\u064a A<\/span>, S(k)<\/span> \u0647\u0648 \u0623\u064a\u0636\u064b\u0627 \u0641\u064a A<\/span>, \u062b\u0645 A<\/span> \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u064a\u064f\u0634\u0627\u0631 \u0625\u0644\u064a\u0647\u0627 \u0628\u0640 \\mathbb{N}<\/span>.<\/li>\n<\/ol>\n\u0639\u0646\u062f \u062f\u0631\u0627\u0633\u0629 \u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648\u060c \u0646\u062f\u0631\u0643 \u0623\u0646 \u0627\u0644\u0631\u0645\u0632 \u00ab1<\/span>\u00bb \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0647\u0648 \u0645\u062c\u0631\u062f \u062a\u0645\u062b\u064a\u0644 \u064a\u064f\u0633\u062a\u062e\u062f\u0645 \u0644\u0644\u0625\u0634\u0627\u0631\u0629 \u0625\u0644\u0649 \u0639\u062f\u062f \u0637\u0628\u064a\u0639\u064a \u0645\u0639\u064a\u0646. \u0647\u0630\u0627 \u0627\u0644\u0639\u062f\u062f \u0647\u0648 \u0627\u0644\u0630\u064a \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u062e\u0635\u0627\u0626\u0635. \u0643\u0645\u0627 \u0623\u0646 1<\/span> \u064a\u0645\u062b\u0644 \u00ab\u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0623\u0648\u0644\u00bb\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0631\u0645\u0648\u0632 (\u0627\u0644\u062a\u064a \u0646\u0639\u062a\u0631\u0641 \u0628\u0647\u0627) \u0644\u062a\u0645\u062b\u064a\u0644 \u062e\u0644\u0641\u0627\u0621\u0647.<\/p>\n<ul style=\"text-align: justify; ;\">\n<li>2=S(1)<\/span><\/li>\n<li>3=S(2)<\/span><\/li>\n<li>4=S(3) \\\\ \\vdots<\/span><\/li>\n<\/ul>\n\u0648\u0647\u0643\u0630\u0627 \u062f\u0648\u0627\u0644\u064a\u0643. \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0627\u0644\u0631\u0645\u0648\u0632 1<\/span>, 2<\/span>, 3<\/span>, \u0648\u0647\u0644\u0645 \u062c\u0631\u0627 \u0647\u064a \u0643\u064a\u0627\u0646\u0627\u062a \u0645\u062c\u0631\u062f\u0629 \u062a\u0645\u062b\u0644 \u0627\u0644\u062e\u0644\u0641\u0627\u0621 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u0644\u0640 1<\/span>. \u0645\u062c\u0645\u0648\u0639\u0629 \u062c\u0645\u064a\u0639 \u0647\u0630\u0647 \u0627\u0644\u0643\u0627\u0626\u0646\u0627\u062a \u0647\u064a \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0646\u0645\u062b\u0644\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644:<\/p>\n\\mathbb{N}=\\{1,2,3,4,\\cdots \\}<\/span>\n\u064a\u0642\u0627\u0644 \u0623\u064a\u0636\u064b\u0627 \u0625\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0645\u0631\u062a\u0628\u0629 \u0641\u064a \u062a\u0633\u0644\u0633\u0644\u060c \u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629:<\/p>\n1,2,3,4,5,6,7,8,9,10,11,12, \\cdots <\/span>\n<a name=\"2\"><\/a><\/p>\n<h2>\u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0641\u064a \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/h2>\n\u062c\u0627\u0646\u0628 \u0645\u0647\u0645 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0647\u0648 \u0623\u0646 \u0647\u0646\u0627\u0643 \u062f\u0627\u0626\u0645\u064b\u0627 \u0631\u0642\u0645\u064b\u0627 \u0628\u0639\u062f \u0643\u0644 \u0631\u0642\u0645\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0647\u0646\u0627\u0643 \u0639\u062f\u062f\u064b\u0627 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u064b\u0627 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0630\u0644\u0643 \u0645\u0646 \u0627\u0644\u0645\u0628\u062f\u0623 \u0627\u0644\u062e\u0627\u0645\u0633\u060c \u0623\u0648 \u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621\u060c<\/strong> \u0648\u0627\u0644\u0630\u064a \u064a\u064f\u0639\u0628\u0631 \u0639\u0646\u0647 \u0643\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n\u0625\u0630\u0627 \u062a\u0645 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u062e\u0627\u0635\u064a\u0629 \u0644\u0640 1<\/span>; \u0648\u0625\u0630\u0627 \u062a\u0645 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646\u0647\u0627 \u0644\u0623\u064a \u0631\u0642\u0645 \u0637\u0628\u064a\u0639\u064a k<\/span>, \u0641\u0625\u0646\u0647\u0627 \u062a\u062a\u062d\u0642\u0642 \u0623\u064a\u0636\u064b\u0627 \u0644\u0644\u0631\u0642\u0645 \u0627\u0644\u0644\u0627\u062d\u0642 S(k)<\/span>; \u062b\u0645 \u062a\u0643\u0648\u0646 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0635\u0627\u0644\u062d\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629.<\/em><\/p>\n\u064a\u0648\u0641\u0631 \u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0623\u0633\u0627\u0633 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0623\u062f\u0627\u0629 \u0645\u0641\u064a\u062f\u0629 \u0644\u0625\u062b\u0628\u0627\u062a \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062e\u0627\u0635\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u062a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0630\u0644\u0643\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0645\u062b\u0627\u0644\u064b\u0627 \u0628\u0633\u064a\u0637\u064b\u0627:<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify;\">\n\u0645\u062b\u0627\u0644:<\/strong><\/span> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062b\u0628\u0627\u062a \u0623\u0646 \u0643\u0644 \u0631\u0642\u0645 \u0637\u0628\u064a\u0639\u064a \u0645\u062e\u062a\u0644\u0641 \u0639\u0646 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0630\u064a \u064a\u0644\u064a\u0647. <\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;\">\n\u0631\u063a\u0645 \u0623\u0646 \u0647\u0630\u0627 \u0648\u0627\u0636\u062d\u060c \u0625\u0644\u0627 \u0623\u0646\u0647 \u064a\u0633\u0627\u0639\u062f \u0641\u064a \u0641\u0647\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062a\u0628\u0639\u0629 \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0645 \u0627\u0644\u0625\u062b\u0628\u0627\u062a \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621. <\/p>\n\u0627\u0644\u0625\u062b\u0628\u0627\u062a:<\/span><\/strong><\/p>\n<ul>\n<li>\n\u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 1<\/span> \u0645\u062e\u062a\u0644\u0641 \u0639\u0646 S(1)=2<\/span>. \u0647\u0630\u0647 \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0623\u0648\u0644\u064a\u0629\u060c<\/strong> \u062d\u064a\u062b \u0646\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u062a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644. <\/p>\n<\/li>\n<li>\n\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u062a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 k<\/span> \u0623\u064a\u064b\u0627 \u0643\u0627\u0646\u060c \u0623\u064a \u0623\u0646 k\\neq S(k)<\/span>, \u0633\u0646\u0642\u0648\u0645 \u0628\u0625\u062b\u0628\u0627\u062a \u0623\u0646 \u0647\u0630\u0627 \u064a\u0624\u0643\u062f \u0623\u064a\u0636\u064b\u0627 \u0623\u0646\u0647 \u064a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 S(k)<\/span> (\u0623\u064a \u0623\u0646 S(k)\\neq S(S(k))<\/span>. \u0647\u0630\u0647 \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0626\u064a\u0629.<\/strong> \u0625\u0630\u0627 \u062a\u0645\u062a \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u062e\u0637\u0648\u062a\u064a\u0646\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0643\u0627\u0645\u0644 \u0648\u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u062a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. <\/p>\n<\/p>\n[1]<\/strong> \u0644\u0646\u0628\u062f\u0623\u060c \u0644\u0646\u0644\u0627\u062d\u0638 \u0623\u0646 S(k) \\neq k,<\/span> \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u0642\u0648\u0644 \\neg [k=S(k)]<\/span>.<\/p>\n[2]<\/strong> \u0648\u0644\u0643\u0646 \u062d\u064a\u062b \u0623\u0646 k<\/span> \u0648 S(k)<\/span> \u0647\u0645\u0627 \u0623\u0639\u062f\u0627\u062f \u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0645\u0646 \u0627\u0644\u0645\u0628\u062f\u0623 \u0627\u0644\u062b\u0627\u0646\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u0648\u0644 \u0623\u0646 \u0643\u0644\u0627\u0647\u0645\u0627 \u0644\u0647\u0645\u0627 \u0623\u0639\u062f\u0627\u062f \u062a\u0627\u0644\u064a\u0629: S(k)<\/span> \u0648 S(S(k))<\/span>. \u0643\u0644\u0627\u0647\u0645\u0627 \u0623\u064a\u0636\u064b\u0627 \u0647\u0645\u0627 \u0623\u0639\u062f\u0627\u062f \u0637\u0628\u064a\u0639\u064a\u0629.<\/p>\n[3]<\/strong> \u062b\u0645\u060c \u0645\u0646 \u0627\u0644\u0645\u0628\u062f\u0623 \u0627\u0644\u0631\u0627\u0628\u0639 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u0648\u0644 \u0623\u0646: S(k) = S(S(k))<\/span> \u064a\u0639\u0646\u064a \u0623\u0646 k = S(k)<\/span>. \u064a\u0645\u0643\u0646\u0646\u0627 \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n\\left[ S(k) = S(S(k)) \\right] \\rightarrow \\left[k = S(k)\\right]<\/span>\n\u0648\u0628\u062d\u0633\u0628 \u0639\u0643\u0633 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u060c \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u0642\u0648\u0644:<\/p>\n\\neg \\left[k = S(k)\\right] \\rightarrow \\neg \\left[ S(k) = S(S(k)) \\right] <\/span>\n[4]<\/strong> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0645\u0648\u062f\u0648\u0633 \u0628\u0648\u0646\u0646\u0633 \u0628\u064a\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0648\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u062e\u0631\u062c \u0641\u064a \u0627\u0644\u062e\u0637\u0648\u0629 [1]<\/strong> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n\\neg \\left[ S(k) = S(S(k)) \\right] <\/span>\n\u0648\u0647\u0648 \u0645\u0627 \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u0642\u0648\u0644<\/p>\n S(k) \\neq S(S(k)) <\/span>\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0623\u062b\u0628\u062a\u0646\u0627 \u0623\u0646\u0647 \u0625\u0630\u0627 \u062a\u0645 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 S(k) \\neq k,<\/span>, \u0641\u0625\u0646\u0647 \u064a\u062a\u0645 \u0627\u0644\u062a\u062d\u0642\u0642 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0623\u0646 S(k) \\neq S(S(k))<\/span>; \u0648\u0643\u0645\u0627 \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 1\\neq 2<\/span>, \u0641\u0625\u0646 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0643\u0627\u0645\u0644 \u0648\u064a\u0645\u0643\u0646\u0646\u0627 \u0643\u062a\u0627\u0628\u0629:<\/p>\n\\left(\\forall n\\in\\mathbb{N}\\right)\\left(n \\neq S(n)\\right) <\/span>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<a name=\"3\"><\/a><\/p>\n<h3>\u062a\u0639\u0644\u064a\u0642 \u062d\u0648\u0644 \u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646<\/h3>\n\u0631\u063a\u0645 \u0623\u0646 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0648\u0627\u0636\u062d\u0629 \u062c\u062f\u064b\u0627\u060c \u0641\u0625\u0646\u0647 \u0645\u0646 \u0627\u0644\u0645\u0639\u062a\u0627\u062f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0623\u0646 \u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646 \u0644\u0627 \u062a\u0638\u0644 \u0628\u0647\u0630\u0647 \u0627\u0644\u0648\u0636\u0648\u062d. \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0627\u0644\u0630\u064a \u0631\u0623\u064a\u0646\u0627\u0647 \u0644\u0644\u062a\u0648 \u0647\u0648 \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0645\u0627 \u064a\u062a\u0645 \u0639\u0627\u062f\u0629\u064b \u0639\u0646\u062f \u0627\u0644\u0639\u0645\u0644 \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. \u0644\u0645\u0633\u0627\u0639\u062f\u062a\u0643 \u0641\u064a \u0641\u0647\u0645 \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0645\u064a\u0632\u0629 \u0644\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0623\u0646\u0635\u062d\u0643 \u0628\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u0645\u062e\u0635\u0635\u0629 \u0644\u062f\u0648\u0631\u0629 <a href=\"http:\/\/toposuranos.com\/material\/ar\/category\/%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa\/%d8%a7%d9%84%d9%85%d9%86%d8%b7%d9%82-%d8%a7%d9%84%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a\/%d8%a7%d9%84%d9%85%d9%86%d8%b7%d9%82-%d8%a7%d9%84%d8%a7%d9%82%d8%aa%d8%b1%d8%a7%d8%ad%d9%8a\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a.<\/strong><\/a><\/p>\n<\/body> \n<\/html><\/p>\n","protected":false},"excerpt":{"rendered":"\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648 \u0645\u0644\u062e\u0635 \u062a\u062a\u0646\u0627\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u0641\u0635\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0643\u0633\u064a\u0648\u0645\u0627\u062a \u0628\u064a\u0627\u0646\u0648: \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062f \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629. \u0643\u0645\u0627 \u062a\u0634\u0631\u062d \u0643\u064a\u0641 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0645\u0648\u0632 \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u062e\u0644\u0641\u0627\u0621 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0631\u0645\u0632\u064a\u064b\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0628\u062f\u0623 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0626\u064a\u0629. 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