{"id":26776,"date":"2021-05-27T13:00:43","date_gmt":"2021-05-27T13:00:43","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26776"},"modified":"2024-05-22T01:58:11","modified_gmt":"2024-05-22T01:58:11","slug":"%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a8%d9%88%d8%a7%d8%b3%d9%88%d9%86-%d8%aa%d9%82%d8%b1%d9%8a%d8%a8-%d8%a7%d9%84%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d8%ab%d9%86%d8%a7%d8%a6%d9%8a%d8%a9","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a8%d9%88%d8%a7%d8%b3%d9%88%d9%86-%d8%aa%d9%82%d8%b1%d9%8a%d8%a8-%d8%a7%d9%84%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d8%ab%d9%86%d8%a7%d8%a6%d9%8a%d8%a9\/","title":{"rendered":"\u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646: \u062a\u0642\u0631\u064a\u0628 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646: \u062a\u0642\u0631\u064a\u0628 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0645\u0644\u062e\u0635<\/strong><br \/><em>\u062a\u0631\u0643\u0632 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629 \u0639\u0644\u0649 \u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646 \u0643\u062a\u0642\u0631\u064a\u0628 \u0644\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629\u060c \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0648\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u0646\u0634\u0623 \u0645\u0646 \u062d\u062f\u062b \u0628\u0631\u0646\u0648\u0644\u064a \u0645\u0639 \u0639\u062f\u062f \u0643\u0628\u064a\u0631 \u0645\u0646 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0648\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0641\u0631\u062f\u064a\u0629 \u0635\u063a\u064a\u0631\u0629 \u062c\u062f\u064b\u0627. \u062a\u062a\u0646\u0627\u0648\u0644 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0645\u0631\u0643\u0632\u064a \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0633\u0648\u0627\u0621 \u0643\u0627\u0646\u062a \u0645\u0643\u0627\u0646\u064a\u0629 \u0623\u0648 \u0632\u0645\u0646\u064a\u0629\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u0645\u062b\u0644\u0629 \u0644\u062c\u0633\u064a\u0645\u0627\u062a \u0635\u063a\u064a\u0631\u0629 \u0641\u064a \u0633\u0627\u0626\u0644 \u0648\u0627\u0646\u0628\u0639\u0627\u062b \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a \u0645\u0646 \u0645\u0627\u062f\u0629 \u0645\u0634\u0639\u0629\u060c \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u062a\u062e\u062a\u062a\u0645 \u0628\u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646 \u0641\u064a \u0633\u064a\u0627\u0642\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0645\u062b\u0644 \u062e\u062f\u0645\u0629 \u0627\u0644\u0639\u0645\u0644\u0627\u0621 \u0641\u064a \u0633\u0648\u0628\u0631 \u0645\u0627\u0631\u0643\u062a \u0648\u0643\u062b\u0627\u0641\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0641\u064a \u0645\u0646\u0637\u0642\u0629 \u0645\u0639\u064a\u0646\u0629.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n\u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n<\/p>\n<ol>\n<li><strong>\u0641\u0647\u0645<\/strong> \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0648\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646 \u0643\u062a\u0642\u0631\u064a\u0628 \u0644\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u0634\u0643\u0644\u064a \u0628\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0632\u0645\u0627\u0646\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646.<\/li>\n<li><strong>\u0627\u0633\u062a\u062e\u062f\u0627\u0645<\/strong> \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0639\u0645\u0644\u064a\u0629.<\/li>\n<\/ol>\n<p><center><br \/>\n<strong><u>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0648\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/a><br \/>\n<a href=\"#2\">\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646<\/a><br \/>\n<a href=\"#3\">\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646<\/a><br \/>\n<a href=\"#4\">\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646<\/a><br \/>\n<a href=\"#5\">\u0627\u0644\u0632\u0645\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629<\/a><br \/>\n<a href=\"#6\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/a><br \/>\n<\/center><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/mQ0j3FE8p2U\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/br><\/br><\/p>\n<h2>\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0648\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=154s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0627\u0644\u0622\u0646 \u0644\u0646\u0646\u0638\u0631 \u0641\u064a \u062a\u0642\u0631\u064a\u0628<\/span><\/strong><\/a> \u0644\u062a\u0648\u0632\u064a\u0639 <a href=\"https:\/\/toposuranos.com\/el-ensayo-de-bernoulli-para-n-intentos-independientes\/\" rel=\"noopener\" target=\"_blank\">\u062b\u0646\u0627\u0626\u064a<\/a>\u060c \u062d\u064a\u062b \u0646\u0639\u062a\u0628\u0631 \u0639\u062f\u062f \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0643\u0628\u064a\u0631 \u062c\u062f\u064b\u0627 \u0648\u0643\u0644\u0647\u0627 \u0628\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0641\u0631\u062f\u064a\u0629 \u0635\u063a\u064a\u0631\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p<\/span><\/span>. \u0639\u0646\u062f \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0646\u062a\u0642\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c\u064a\u0629 \u0625\u0644\u0649 \u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646. \u0644\u062a\u0635\u0648\u0631 \u0630\u0644\u0643\u060c \u0646\u062a\u062e\u064a\u0644 \u0633\u0644\u0633\u0644\u0629 \u0628\u0627\u0644\u0634\u0643\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{Bi(n;k;p_n)\\}_n,<\/span><\/span> \u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\to\\infty<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_n<\/span><\/span> \u062a\u062d\u0642\u0642 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">np_n=\\lambda \\gt 0<\/span><\/span>. \u0645\u0646 \u0647\u0630\u0627\u060c \u0633\u0646\u0631\u0649 \u0623\u0646<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{n\\to\\infty}P\\left(Bi(n;k;P_n) \\right) = \\frac{\\lambda^k}{k!}e^{-\\lambda}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0647\u0630\u0627 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0644\u064a\u0633 \u0635\u0639\u0628\u064b\u0627 \u0644\u0625\u062b\u0628\u0627\u062a\u0647\u060c \u0625\u0630\u0627 \u0623\u062e\u0630\u0646\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u062b \u0628\u0631\u0646\u0648\u0644\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(n;k;p_n)<\/span><\/span> \u0648\u0636\u0631\u0628\u0646\u0627\u0647\u0627 \u0648\u0642\u0633\u0645\u0646\u0627\u0647\u0627 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n^k<\/span><\/span>\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u062a\u0641\u0643\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td width=\"80px\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(B(n;k;p_n))<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle{{n}\\choose{k}}p^k(1-p)^{n-k}<\/span><span style=\"color: #f00000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\cdot \\displaystyle \\frac{n^k}{n^k}=<\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"80px\"><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{n!}{(n-k)!k!}p^k(1-p)^{n-k} \\cdot \\frac{n^k}{n^k}=<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"80px\"><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{n(n-1)\\cdots[n-(k-1)]}{n^k} \\cdot \\frac{(np_n)^k}{k!} (1-p_n)^{-k}(1-p_n)^n=<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0644\u0630\u0627 \u0625\u0630\u0627 \u062d\u0633\u0628\u0646\u0627 \u0627\u0644\u062d\u062f \u0639\u0646\u062f\u0645\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\to\\infty<\/span><\/span>\u060c \u0633\u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}\n\n\\displaystyle \\lim_{n\\to\\infty} {{n}\\choose{k}}p_n^k(1-p_n)^{n-k} &amp;= \\lim_{n\\to\\infty} \\underbrace{\\frac{n(n-1)\\cdots[n-(k-1)]}{n^k}}_{\\to 1} \\cdot \\frac{\\overbrace{(np_n)^k}^{\\to\\lambda^k}}{k!} \\overbrace{(1-p_n)^{-k}}^{\\to 1} {(1-p_n)^n} \\\\ \\\\\n\n&amp;\\displaystyle = \\frac{\\lambda^k}{k!} \\lim_{n\\to\\infty}\\left(1 - \\frac{\\lambda}{n} \\right)^n \\\\ \\\\\n\n&amp; \\displaystyle = \\frac{\\lambda^k}{k!}e^{-\\lambda}\n\n\\end{array}\n\n<\/span>\n<\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0646 \u0647\u0630\u0627\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0628\u0648\u0627\u0633\u0648\u0646\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Po(k;\\lambda)<\/span><\/span>\u060c \u0645\u0646 \u062e\u0644\u0627\u0644<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle Po(k;\\lambda) := \\lim_{n\\to\\infty} {{n}\\choose{k}}p^k(1-p_n)^{n-k} = \\frac{\\lambda^k}{k!}e^{-\\lambda} <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u064a\u0642\u0627\u0644 \u0625\u0646 \u0645\u062a\u063a\u064a\u0631\u064b\u0627 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0644\u0647 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Po(k,\\lambda),<\/span><\/span> \u0625\u0630\u0627 \u062a\u062d\u0642\u0642 \u0623\u0646:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> P(X=k) = Po(k;\\lambda) <\/span><\/span><\/p>\n<p><a name=\"2\"><\/a><\/br><\/br><\/p>\n<h2>\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646<\/h2>\n<p><a name=\"3\"><\/a><\/br><\/br><\/p>\n<h3>\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=665s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u062d\u0627\u0648\u064a\u0629 \u0628\u062d\u062c\u0645<\/span><\/strong><\/a> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">V<\/span><\/span> \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0633\u0627\u0626\u0644 \u062d\u064a\u062b \u064a\u0648\u062c\u062f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u062c\u0632\u064a\u0626\u0627\u062a \u0635\u063a\u064a\u0631\u0629 \u0645\u0648\u0632\u0639\u0629 \u0628\u0627\u0644\u062a\u0633\u0627\u0648\u064a. \u0647\u0646\u0627 \u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u0633\u0627\u0626\u0644 \u0642\u062f \u062a\u0645 \u062a\u062d\u0631\u064a\u0643\u0647 \u062c\u064a\u062f\u064b\u0627 \u0648\u0623\u0646 \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a \u0644\u0627 \u062a\u062a\u0641\u0627\u0639\u0644 \u0645\u0639 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0644\u0627 \u062a\u062c\u0630\u0628 \u0648\u0644\u0627 \u062a\u062a\u0646\u0627\u0641\u0631. \u0647\u0630\u0647 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u064a\u0645\u0643\u0646 \u062a\u0648\u0636\u064a\u062d\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><strong>\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u062a\u062c\u0627\u0646\u0633 \u0627\u0644\u0645\u0643\u0627\u0646\u064a:<\/strong> \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0633\u064a\u0645 \u0641\u064a \u0645\u0646\u0637\u0642\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/span> \u0645\u0646 \u0627\u0644\u0633\u0627\u0626\u0644 \u062a\u0639\u062a\u0645\u062f \u0641\u0642\u0637 \u0639\u0644\u0649 \u062d\u062c\u0645 \u062a\u0644\u0643 \u0627\u0644\u0645\u0646\u0637\u0642\u0629.<\/li>\n<li><strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u0641\u0627\u0639\u0644:<\/strong> \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u00ab\u0627\u0644\u062c\u0633\u064a\u0645 j \u0645\u0648\u062c\u0648\u062f \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642\u0629 D\u00bb\u060c \u0645\u0639 j=1,2,&#8230;,n\u060c \u062a\u0643\u0648\u0646 \u062c\u0645\u064a\u0639\u0647\u0627 \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636.<\/li>\n<li><strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u0631\u0627\u0643\u0628:<\/strong> \u0644\u0627 \u064a\u0645\u0643\u0646 \u0644\u062c\u0633\u064a\u0645\u064a\u0646 \u0627\u062d\u062a\u0644\u0627\u0644 \u0646\u0641\u0633 \u0627\u0644\u0645\u0643\u0627\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621.<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0625\u0630\u0627 \u0623\u0639\u0637\u064a\u0646\u0627 \u0645\u0646\u0637\u0642\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/span> \u0628\u062d\u062c\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span>\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u062b \u00ab\u0641\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/span> \u064a\u0648\u062c\u062f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u062c\u0632\u064a\u0626\u0627\u062a\u00bb \u062a\u0639\u062a\u0645\u062f \u0641\u0642\u0637 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span>\u061b \u062f\u0639\u0648\u0646\u0627 \u0646\u0633\u0645\u064a \u0647\u0630\u0627 \u0627\u0644\u062d\u062f\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g_k(v)<\/span><\/span>. \u0644\u064a\u0643\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h(v)<\/span><\/span> \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0648\u062c\u0648\u062f \u0627\u0644\u062c\u0633\u064a\u0645 \u062f\u0627\u062e\u0644 \u0645\u0646\u0637\u0642\u0629 \u0628\u062d\u062c\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span>. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_1<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_2<\/span><\/span> \u0645\u0646\u0637\u0642\u062a\u064a\u0646 \u063a\u064a\u0631 \u0645\u062a\u062f\u0627\u062e\u0644\u062a\u064a\u0646 \u0628\u062d\u062c\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_1<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_2<\/span><\/span> \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a\u060c \u0625\u0630\u0646 \u0625\u0630\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D=D_1\\cup D_2<\/span><\/span>\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u062d\u062c\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span> \u0625\u0630\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v=v_1+v_2<\/span><\/span>. \u0648\u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_1<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_2<\/span><\/span> \u063a\u064a\u0631 \u0645\u062a\u062f\u0627\u062e\u0644\u062a\u064a\u0646 (<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_1\\cap D_2 = \\emptyset <\/span><\/span>)\u060c \u0633\u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> h(v) = h(v_1) + h(v_2) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">V<\/span><\/span> \u0647\u0648 \u062d\u062c\u0645 \u0627\u0644\u0633\u0627\u0626\u0644 \u0627\u0644\u0643\u0627\u0645\u0644\u060c \u0641\u0633\u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> h(V) = 1 <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> h(v) =\\displaystyle \\frac{v}{V} <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0646 \u0647\u0646\u0627 \u0646\u062c\u062f \u0623\u0646 \u0627\u0644\u062d\u062f\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g_k(v)<\/span><\/span> \u0647\u0648 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u062d\u062f\u062b \u0645\u0646 \u0646\u0648\u0639 \u0628\u0631\u0646\u0648\u0644\u064a \u0645\u0639 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p=v\/V<\/span><\/span> \u0648\u064a\u0639\u0637\u0649 \u0628\u0648\u0627\u0633\u0637\u0629:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> g_k(v) =B(n;k;p=v\/V) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0639\u0638\u0645 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u062a\u062a\u0636\u0645\u0646 \u0639\u062f\u062f\u064b\u0627 \u0643\u0628\u064a\u0631\u064b\u0627 \u0645\u0646 \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0648\u0627\u0644\u0645\u0646\u0627\u0637\u0642 \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629 \u062a\u0643\u0648\u0646 \u0635\u063a\u064a\u0631\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u062d\u062c\u0645 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \u0628\u062d\u064a\u062b \u064a\u062a\u0645 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0634\u0631\u0648\u0637 \u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u0642\u0631\u064a\u0628 \u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0648\u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(g_k(v)) = \\lim_{\\begin{matrix}n\\to\\infty\\\\ v\/V=c \\end{matrix}}P(B(n;k;p=v\/V)) =\\displaystyle \\frac{(cv)^k}{k!}e^{-cv}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/br><\/br><\/p>\n<h3>\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629 \u0644\u0628\u0648\u0627\u0633\u0648\u0646<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=944s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0633\u062c\u0644 \u0643\u0645\u064a\u0629<\/span><\/strong><\/a> \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a \u0627\u0644\u0645\u0646\u0628\u0639\u062b\u0629 \u0645\u0646 \u0645\u0627\u062f\u0629 \u0645\u0634\u0639\u0629 \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u0644\u062d\u0638\u0629 t=0\u060c \u0648\u0645\u0646 \u062b\u0645 \u0646\u062d\u0633\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0646\u0628\u0639\u0627\u062b k \u062c\u0633\u064a\u0645\u0627\u062a \u0628\u0627\u0644\u0636\u0628\u0637 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629 [0,t[ \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><strong>\u0627\u0644\u062b\u0628\u0627\u062a:<\/strong> \u0634\u0631\u0648\u0637 \u0627\u0644\u062a\u062c\u0631\u0628\u0629 \u0644\u0627 \u062a\u062a\u063a\u064a\u0631 \u0645\u0639 \u0627\u0644\u0632\u0645\u0646.<\/li>\n<li><strong>\u0639\u062f\u0645 \u0627\u0644\u0630\u0627\u0643\u0631\u0629:<\/strong> \u0645\u0627 \u062d\u062f\u062b \u0641\u064a [0,t[ \u0644\u0627 \u064a\u0624\u062b\u0631 \u0639\u0644\u0649 \u0645\u0627 \u064a\u062d\u062f\u062b \u0641\u064a [t,t'[.<\/li>\n<li><strong>\u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629:<\/strong> \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a \u062a\u0646\u0628\u0639\u062b \u0648\u0627\u062d\u062f\u0629 \u062a\u0644\u0648 \u0627\u0644\u0623\u062e\u0631\u0649.<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0625\u0630\u0627 \u0642\u0627\u0631\u0646\u0627 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629 \u0628\u0641\u0631\u0636\u064a\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629\u060c \u0633\u0646\u062c\u062f \u0623\u0646\u0647\u0627 \u0645\u0643\u0627\u0641\u0626\u0629 \u0634\u0643\u0644\u064a\u064b\u0627. \u0643\u0645\u0627 \u0623\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0633\u064a\u0645 \u0641\u064a \u0645\u0646\u0637\u0642\u0629 \u0645\u0627 \u0644\u0627 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u0643\u0627\u0646 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u0629\u060c \u0628\u0644 \u0639\u0644\u0649 \u062d\u062c\u0645\u0647\u0627 \u0641\u0642\u0637\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0645\u0644\u0627\u062d\u0638\u0629 \u0627\u0646\u0628\u0639\u0627\u062b \u062c\u0633\u064a\u0645 \u0644\u0627 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0644\u062d\u0638\u0629 \u0627\u0644\u0645\u062e\u062a\u0627\u0631\u0629 \u0644\u0644\u0642\u064a\u0627\u0633\u060c \u0628\u0644 \u0639\u0644\u0649 \u0641\u062a\u0631\u0629 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u0642\u0637. \u0639\u062f\u0645 \u0627\u0644\u0630\u0627\u0643\u0631\u0629 \u064a\u0634\u0628\u0647 \u0639\u062f\u0645 \u0627\u0644\u062a\u0641\u0627\u0639\u0644 \u0641\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629: \u0645\u0627 \u062d\u062f\u062b \u0641\u064a \u0648\u0642\u062a \u0622\u062e\u0631 \u0644\u0627 \u064a\u0624\u062b\u0631 \u0639\u0644\u0649 \u0645\u0627 \u064a\u062d\u062f\u062b \u0641\u064a \u0627\u0644\u0623\u0648\u0642\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u062a\u0639\u0646\u064a \u0623\u0646\u0647 \u0641\u064a \u0644\u062d\u0638\u0629 \u0632\u0645\u0646\u064a\u0629 \u0648\u0627\u062d\u062f\u0629 \u064a\u0645\u0643\u0646 \u0627\u0646\u0628\u0639\u0627\u062b \u062c\u0633\u064a\u0645 \u0648\u0627\u062d\u062f \u0641\u0642\u0637\u060c \u0648\u0647\u0648 \u0645\u0634\u0627\u0628\u0647 \u0644\u0623\u0646 \u0645\u0643\u0627\u0646\u064b\u0627 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0634\u063a\u0644\u0647 \u062c\u0633\u0645 \u0648\u0627\u062d\u062f \u0641\u064a \u0648\u0642\u062a \u0648\u0627\u062d\u062f.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0639\u0631\u0641\u0646\u0627 \u0627\u0644\u062d\u062f\u062b \u00ab\u0627\u0646\u0628\u0639\u0627\u062b k \u062c\u0633\u064a\u0645\u0627\u062a \u0641\u064a \u0641\u062a\u0631\u0629 \u0632\u0645\u0646\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t<\/span><\/span>\u00ab\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u0648\u062b\u0647 \u0633\u062a\u0643\u0648\u0646 \u062d\u062f\u062b\u064b\u0627 \u0645\u0646 \u0634\u0643\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g_k(t)<\/span><\/span>\u060c \u0623\u064a:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(g_k(t)) =\\displaystyle \\frac{(ct)^k}{k!} e^{-ct}<\/span><\/span><\/p>\n<p><a name=\"5\"><\/a><\/br><\/br><\/p>\n<h3>\u0627\u0644\u0632\u0645\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=1102s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0643\u0644\u0627 \u0627\u0644\u0639\u0645\u0644\u064a\u062a\u064a\u0646\u060c \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0632\u0645\u0646\u064a\u0629\u060c \u0645\u0643\u0627\u0641\u0626\u062a\u0627\u0646 \u0634\u0643\u0644\u064a\u064b\u0627.<\/span><\/strong><\/a> \u062a\u062e\u062a\u0644\u0641\u0627\u0646 \u0641\u0642\u0637 \u0641\u064a \u0637\u0631\u064a\u0642\u0629 \u062a\u0641\u0633\u064a\u0631\u0647\u0645\u0627 \u0644\u0623\u063a\u0631\u0627\u0636 \u0639\u0645\u0644\u064a\u0629. \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0633\u0631\u064a\u0639\u0629 \u0644\u062a\u0648\u0636\u064a\u062d \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0647\u064a \u0645\u0631\u0627\u0642\u0628\u0629 \u062f\u0648\u0631 \u0627\u0644\u062b\u0627\u0628\u062a \u00abc\u00bb \u0627\u0644\u0630\u064a \u064a\u0638\u0647\u0631 \u0641\u064a \u0643\u0644\u0627 \u0627\u0644\u062d\u0627\u0644\u062a\u064a\u0646. \u0644\u062c\u0639\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0645\u062d\u062f\u062f\u0629 \u0628\u0634\u0643\u0644 \u062c\u064a\u062f\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0648\u0633\u064a\u0637\u0647\u0627 \u0628\u0644\u0627 \u0623\u0628\u0639\u0627\u062f\u061b \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u064a\u062d\u062a\u0648\u064a \u0647\u0630\u0627 \u0627\u0644\u0648\u0633\u064a\u0637 \u0639\u0644\u0649 \u0648\u062d\u062f\u0627\u062a \u0632\u0645\u0646\u064a\u0629 \u0623\u0648 \u0645\u0643\u0627\u0646\u064a\u0629 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0639\u0645\u0644\u064a\u0627\u062a \u0632\u0645\u0646\u064a\u0629 \u0623\u0648 \u0645\u0643\u0627\u0646\u064a\u0629. \u064a\u062a\u0645 \u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u062b\u0627\u0628\u062a c. \u0644\u062f\u064a\u0646\u0627:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Po(k;\\lambda)=\\displaystyle \\frac{\\lambda^k}{k!}e^{-\\lambda}=\\left\\{\\begin{matrix} {\u0623\u062e\u0630\\,\\lambda = \\rho v } &amp; \\longmapsto &amp;\\displaystyle \\frac{(\\rho v)^k}{k!}e^{-\\rho v} &amp; {\u0639\u0645\u0644\u064a\u0629\\,\u0645\u0643\u0627\u0646\u064a\u0629} \\\\ {\u0623\u062e\u0630\\,\\lambda = \\nu t } &amp; \\longmapsto &amp;\\displaystyle \\frac{(\\nu t)^k}{k!}e^{-\\nu t} &amp; {\u0639\u0645\u0644\u064a\u0629\\,\u0632\u0645\u0646\u064a\u0629} \\end{matrix} \\right.<\/span><\/span><\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c=\\rho<\/span><\/span>\u060c \u0641\u0625\u0646\u0647 \u064a\u0645\u062b\u0644 \u0643\u062b\u0627\u0641\u0629 \u0645\u0643\u0627\u0646\u064a\u0629 (\u0639\u062f\u062f \u0627\u0644\u0623\u0634\u064a\u0627\u0621 \u0644\u0643\u0644 \u0648\u062d\u062f\u0629 \u0645\u0633\u0627\u062d\u0629)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u062d\u062f\u062f \u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629.<\/li>\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c=\\nu<\/span><\/span>\u060c \u0641\u0625\u0646\u0647 \u064a\u0645\u062b\u0644 \u0643\u062b\u0627\u0641\u0629 \u0632\u0645\u0646\u064a\u0629 (\u0623\u0648 \u062a\u0643\u0631\u0627\u0631\u060c \u0639\u062f\u062f \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0644\u0643\u0644 \u0648\u062d\u062f\u0629 \u0632\u0645\u0646\u064a\u0629)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u062d\u062f\u062f \u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646 \u0627\u0644\u0632\u0645\u0646\u064a\u0629.<\/li>\n<\/ul>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/8qvHRoEckSc\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n<a name=\"6\"><\/a><\/br><\/br><\/p>\n<h2>\u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u064a\u062e\u062f\u0645 \u0635\u0646\u062f\u0648\u0642 \u0627\u0644\u062f\u0641\u0639 \u0641\u064a \u0633\u0648\u0628\u0631 \u0645\u0627\u0631\u0643\u062a \u0641\u064a \u0627\u0644\u0645\u062a\u0648\u0633\u0637 2 \u0639\u0645\u064a\u0644 \u0643\u0644 9 \u062f\u0642\u0627\u0626\u0642. \u0642\u0645 \u0628\u0625\u0639\u062f\u0627\u062f \u062c\u062f\u0648\u0644 \u064a\u0639\u0631\u0636 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062e\u062f\u0645\u0629 1\u060c 2\u060c 3\u060c \u0648\u0647\u0643\u0630\u0627\u060c \u062d\u062a\u0649 5 \u0623\u0634\u062e\u0627\u0635 \u0641\u064a \u0641\u062a\u0631\u0629 \u0632\u0645\u0646\u064a\u0629 \u0645\u062f\u062a\u0647\u0627 5 \u062f\u0642\u0627\u0626\u0642.<\/li>\n<li>\u0644\u062f\u0649 \u0639\u064a\u0627\u062f\u0629 \u0628\u064a\u0637\u0631\u064a\u0629 \u0627\u0644\u0642\u062f\u0631\u0629 \u0639\u0644\u0649 \u0627\u0633\u062a\u0642\u0628\u0627\u0644 \u0645\u0627 \u064a\u0635\u0644 \u0625\u0644\u0649 12 \u0639\u0645\u064a\u0644\u064b\u0627 \u064a\u0648\u0645\u064a\u064b\u0627. \u0625\u0630\u0627 \u0643\u0627\u0646\u0648\u0627 \u064a\u0633\u062a\u0642\u0628\u0644\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u062a\u0648\u0633\u0637 9 \u0639\u0645\u0644\u0627\u0621 \u0643\u0644 \u064a\u0648\u0645\u060c \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u062a\u062c\u0627\u0648\u0632 \u0627\u0644\u0639\u064a\u0627\u062f\u0629 \u0642\u062f\u0631\u062a\u0647\u0627 \u0627\u0644\u0627\u0633\u062a\u064a\u0639\u0627\u0628\u064a\u0629 \u0641\u064a \u0623\u064a \u064a\u0648\u0645\u061f<\/li>\n<li>\u062a\u0628\u0644\u063a \u0643\u062b\u0627\u0641\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0641\u064a \u0645\u0646\u0637\u0642\u0629 \u0645\u0639\u064a\u0646\u0629 10 \u0623\u0634\u062e\u0627\u0635 \u0644\u0643\u0644 1000 \u0645\u062a\u0631 \u0645\u0631\u0628\u0639. \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u0623\u0642\u0644 \u0645\u0646 15 \u0634\u062e\u0635\u064b\u0627 \u0641\u064a \u0645\u0648\u0642\u0639 \u0645\u0633\u0627\u062d\u062a\u0647 60 \u0645\u062a\u0631\u064b\u0627 \u0645\u0631\u0628\u0639\u064b\u0627\u061f<\/li>\n<li>\u062f\u062c\u0627\u062c\u0629 \u062a\u0631\u064a\u062f \u0639\u0628\u0648\u0631 \u0627\u0644\u0637\u0631\u064a\u0642. \u064a\u0633\u062a\u063a\u0631\u0642 \u0627\u0644\u0645\u0634\u064a \u0641\u064a \u062e\u0637 \u0645\u0633\u062a\u0642\u064a\u0645 58 \u062b\u0627\u0646\u064a\u0629. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0637\u0631\u064a\u0642 \u064a\u0634\u0647\u062f \u0645\u0631\u0648\u0631 3 \u0645\u0631\u0643\u0628\u0627\u062a \u0641\u064a \u0627\u0644\u062f\u0642\u064a\u0642\u0629\u060c \u0648\u0625\u0630\u0627 \u0645\u0631\u062a \u0645\u0631\u0643\u0628\u0629 \u0623\u062b\u0646\u0627\u0621 \u0645\u062d\u0627\u0648\u0644\u0629 \u0627\u0644\u062f\u062c\u0627\u062c\u0629 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