{"id":34180,"date":"2021-05-27T13:00:29","date_gmt":"2021-05-27T13:00:29","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34180"},"modified":"2025-08-16T11:08:59","modified_gmt":"2025-08-16T11:08:59","slug":"%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/","title":{"rendered":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u8981\u7d04<\/strong><br \/><em>\u672c\u8b1b\u7fa9\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\u3092\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\u3068\u3057\u3066\u53d6\u308a\u6271\u3046\u3053\u3068\u306b\u7126\u70b9\u3092\u5f53\u3066\u308b\u3002\u307e\u305a\u3001\u4fc2\u6570\u304a\u3088\u3073\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u5b9a\u7fa9\u304b\u3089\u59cb\u3081\u308b\u3002\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306f\u3001\u591a\u6570\u306e\u8a66\u884c\u3068\u6975\u3081\u3066\u5c0f\u3055\u3044\u500b\u5225\u78ba\u7387\u3092\u3082\u3064\u30d9\u30eb\u30cc\u30fc\u30a4\u4e8b\u8c61\u304b\u3089\u5c0e\u304b\u308c\u308b\u3002\u672c\u8b1b\u7fa9\u306e\u4e2d\u5fc3\u90e8\u5206\u3067\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u8fd1\u4f3c\u904e\u7a0b\u3001\u3059\u306a\u308f\u3061\u7a7a\u9593\u7684\u304a\u3088\u3073\u6642\u9593\u7684\u904e\u7a0b\u3092\u6271\u3044\u3001\u305d\u308c\u305e\u308c\u6db2\u4f53\u4e2d\u306e\u5fae\u5c0f\u7c92\u5b50\u3084\u653e\u5c04\u6027\u7269\u8cea\u306b\u3088\u308b\u7c92\u5b50\u306e\u653e\u51fa\u3068\u3044\u3063\u305f\u4f8b\u3092\u7528\u3044\u308b\u3002\u6700\u5f8c\u306b\u3001\u30b9\u30fc\u30d1\u30fc\u30de\u30fc\u30b1\u30c3\u30c8\u306b\u304a\u3051\u308b\u9867\u5ba2\u5bfe\u5fdc\u3084\u5730\u57df\u306e\u4eba\u53e3\u5bc6\u5ea6\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u6587\u8108\u306b\u304a\u3051\u308b\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u5fdc\u7528\u4f8b\u3092\u793a\u3057\u3066\u7de0\u3081\u304f\u304f\u3089\u308c\u308b\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u3092\u4fee\u4e86\u3057\u305f\u5f8c\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b:\n<\/p>\n<ol>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u5b9a\u7fa9\u304a\u3088\u3073\u305d\u306e\u4fc2\u6570\u3002<\/li>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\u3092\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\u3068\u3057\u3066\u3002<\/li>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u30dd\u30a2\u30bd\u30f3\u306e\u7a7a\u9593\u904e\u7a0b\u3068\u6642\u9593\u904e\u7a0b\u306e\u5f62\u5f0f\u7684\u540c\u5024\u6027\u3002<\/li>\n<li><strong>\u6d3b\u7528\u3059\u308b<\/strong> \u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3092\u7528\u3044\u3066\u5b9f\u8df5\u7684\u306a\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u3002<\/li>\n<\/ol>\n<p><center><br \/>\n<strong><u>\u76ee\u6b21<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u4fc2\u6570\u3068\u30dd\u30a2\u30bd\u30f3\u5206\u5e03<\/a><br \/>\n<a href=\"#2\">\u30dd\u30a2\u30bd\u30f3\u8fd1\u4f3c\u904e\u7a0b<\/a><br \/>\n<a href=\"#3\">\u30dd\u30a2\u30bd\u30f3\u7a7a\u9593\u904e\u7a0b<\/a><br \/>\n<a href=\"#4\">\u30dd\u30a2\u30bd\u30f3\u6642\u9593\u904e\u7a0b<\/a><br \/>\n<a href=\"#5\">\u6642\u9593\u7684\u304a\u3088\u3073\u7a7a\u9593\u7684<\/a><br \/>\n<a href=\"#6\">\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u304c\u7528\u3044\u3089\u308c\u308b\u5b9f\u8df5\u4f8b<\/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>\u30dd\u30a2\u30bd\u30f3\u306e\u4fc2\u6570\u3068\u5206\u5e03<\/h2>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=154s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3053\u3053\u3067\u8fd1\u4f3c\u3092\u8003\u3048\u3066\u307f\u3088\u3046<\/span><\/strong><\/a> <a href=\"https:\/\/toposuranos.com\/el-ensayo-de-bernoulli-para-n-intentos-independientes\/\" rel=\"noopener\" target=\"_blank\">\u4e8c\u9805\u5206\u5e03<\/a> \u306b\u5bfe\u3057\u3066\u3001\u8a66\u884c\u56de\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u304c\u975e\u5e38\u306b\u5927\u304d\u304f\u3001\u5404\u3005\u306e\u500b\u5225\u78ba\u7387 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p<\/span><\/span> \u304c\u975e\u5e38\u306b\u5c0f\u3055\u3044\u5834\u5408\u3067\u3042\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u5178\u578b\u7684\u306a\u4e8c\u9805\u904e\u7a0b\u304b\u3089\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\u3078\u3068\u79fb\u884c\u3059\u308b\u3002\u3053\u308c\u3092\u8996\u899a\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u5f62\u306e\u6570\u5217\u3092\u8003\u3048\u308b: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{Bi(n;k;p_n)\\}_n,<\/span><\/span> \u3053\u3053\u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\to\\infty<\/span><\/span> \u304b\u3064 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_n<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">np_n=\\lambda \\gt 0<\/span><\/span> \u3092\u6e80\u305f\u3059\u3002\u3053\u306e\u3053\u3068\u304b\u3089\u6b21\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p style=\"text-align: center; color:\"><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:\">\u3053\u308c\u306f\u5b9f\u969b\u306b\u306f\u8a3c\u660e\u3059\u308b\u306e\u304c\u96e3\u3057\u304f\u306a\u3044\u3002\u30d9\u30eb\u30cc\u30fc\u30a4\u4e8b\u8c61\u306e\u78ba\u7387 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(n;k;p_n)<\/span><\/span> \u3092\u53d6\u308a\u3001\u305d\u308c\u3092 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n^k<\/span><\/span> \u3067\u639b\u3051\u3066\u5272\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u63a8\u8ad6\u304c\u5f97\u3089\u308c\u308b:<\/p>\n<table style=\"text-align: justify; color:\">\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:\">\u3057\u305f\u304c\u3063\u3066\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\to\\infty<\/span><\/span> \u306e\u6975\u9650\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u6b21\u304c\u5f97\u3089\u308c\u308b:<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\displaystyle \\lim_{n\\to\\infty} {{n}\\choose{k}}p_n^k(1-p_n)^{n-k} &amp;= \\displaystyle \\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:\">\u3053\u308c\u306b\u57fa\u3065\u304d\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u4fc2\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Po(k;\\lambda)<\/span><\/span> \u304c\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b:<\/p>\n<p style=\"text-align: center; color:\"><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:\">\u305d\u3057\u3066\u3001\u78ba\u7387\u5909\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u304c\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u5f93\u3046\u3001\u3059\u306a\u308f\u3061 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Po(k,\\lambda),<\/span><\/span> \u3068\u8a00\u3046\u306e\u306f\u6b21\u304c\u6210\u308a\u7acb\u3064\u5834\u5408\u3067\u3042\u308b:<\/p>\n<p style=\"text-align: center; color:\"><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>\u30dd\u30a2\u30bd\u30f3\u8fd1\u4f3c\u904e\u7a0b<\/h2>\n<p><a name=\"3\"><\/a><\/br><\/br><\/p>\n<h3>\u30dd\u30a2\u30bd\u30f3\u7a7a\u9593\u904e\u7a0b<\/h3>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=665s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u4f53\u7a4d<\/span><\/strong><\/a> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">V<\/span><\/span> \u306e\u5bb9\u5668\u306b\u3001\u4e00\u69d8\u306b\u6df7\u3056\u3063\u305f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u500b\u306e\u5fae\u5c0f\u7c92\u5b50\u3092\u542b\u3080\u6db2\u4f53\u3092\u8003\u3048\u3088\u3046\u3002\u3053\u3053\u3067\u306f\u3001\u6db2\u4f53\u304c\u5341\u5206\u306b\u652a\u62cc\u3055\u308c\u3066\u304a\u308a\u3001\u7c92\u5b50\u540c\u58eb\u304c\u76f8\u4e92\u4f5c\u7528\u305b\u305a\u3001\u5f15\u304d\u5408\u3046\u3053\u3068\u3082\u53cd\u767a\u3059\u308b\u3053\u3068\u3082\u306a\u3044\u3068\u4eee\u5b9a\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u4eee\u5b9a\u306f\u4ee5\u4e0b\u306e\u4e3b\u5f35\u306b\u3088\u3063\u3066\u5f62\u5f0f\u5316\u3067\u304d\u308b:<\/p>\n<ul style=\"text-align: justify; color:\">\n<li><strong>\u7a7a\u9593\u7684\u5747\u8cea\u6027\u306e\u4eee\u8aac:<\/strong> \u6db2\u4f53\u4e2d\u306e\u3042\u308b\u9818\u57df <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/span> \u306b\u7c92\u5b50\u304c\u5b58\u5728\u3059\u308b\u78ba\u7387\u306f\u3001\u305d\u306e\u9818\u57df\u306e\u4f53\u7a4d\u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u3002<\/li>\n<li><strong>\u975e\u76f8\u4e92\u4f5c\u7528:<\/strong> \u300cj \u756a\u76ee\u306e\u7c92\u5b50\u304c\u9818\u57df D \u306b\u5b58\u5728\u3059\u308b\u300d\u3068\u3044\u3046\u4e8b\u8c61\u306f\u3001j=1,2,&#8230;,n \u306b\u5bfe\u3057\u3066\u3059\u3079\u3066 n-\u72ec\u7acb\u3067\u3042\u308b\u3002<\/li>\n<li><strong>\u975e\u91cd\u8907:<\/strong> 2 \u3064\u306e\u7c92\u5b50\u304c\u540c\u3058\u7a7a\u9593\u306e\u4f4d\u7f6e\u3092\u5360\u3081\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify; color:\">\u4f53\u7a4d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span> \u306e\u9818\u57df <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/span> \u3092\u8003\u3048\u308b\u3068\u3001\u300c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D<\/span><\/span> \u306b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u500b\u306e\u7c92\u5b50\u304c\u5b58\u5728\u3059\u308b\u300d\u3068\u3044\u3046\u4e8b\u8c61\u306e\u78ba\u7387\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span> \u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u3002\u3053\u306e\u4e8b\u8c61\u3092 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g_k(v)<\/span><\/span> \u3068\u547c\u3076\u3002<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h(v)<\/span><\/span> \u3092\u3001\u7c92\u5b50\u304c\u4f53\u7a4d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v<\/span><\/span> \u306e\u9818\u57df\u306b\u5b58\u5728\u3059\u308b\u78ba\u7387\u3068\u3059\u308b\u3002\u3082\u3057 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_1<\/span><\/span> \u3068 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_2<\/span><\/span> \u304c\u305d\u308c\u305e\u308c\u4f53\u7a4d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_1<\/span><\/span> \u3068 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_2<\/span><\/span> \u3092\u6301\u3064\u4e92\u3044\u306b\u7d20\u306a\u9818\u57df\u306a\u3089\u3070\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D=D_1\\cup D_2<\/span><\/span> \u306e\u4f53\u7a4d\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v=v_1+v_2<\/span><\/span> \u3068\u306a\u308b\u3002\u305d\u3057\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">D_1\\cap D_2 = \\emptyset <\/span><\/span> \u3067\u3042\u308b\u305f\u3081\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p style=\"text-align: center; color:\"><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:\">\u3082\u3057 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">V<\/span><\/span> \u304c\u6db2\u4f53\u5168\u4f53\u306e\u4f53\u7a4d\u3067\u3042\u308c\u3070\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> h(V) = 1 <\/span><\/span><\/p>\n<p style=\"text-align: justify; color:\">\u3057\u305f\u304c\u3063\u3066\u6b21\u304c\u5f97\u3089\u308c\u308b:<\/p>\n<p style=\"text-align: center; color:\"><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:\">\u3053\u3053\u304b\u3089\u3001\u4e8b\u8c61 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g_k(v)<\/span><\/span> \u306f\u5b9f\u969b\u306b\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p=v\/V<\/span><\/span> \u3092\u6301\u3064\u30d9\u30eb\u30cc\u30fc\u30a4\u578b\u306e\u4e8b\u8c61\u3067\u3042\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u4e0e\u3048\u3089\u308c\u308b:<\/p>\n<p style=\"text-align: center; color:\"><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:\">\u3057\u304b\u3057\u3001\u3053\u306e\u7a2e\u306e\u5b9f\u969b\u7684\u306a\u72b6\u6cc1\u306e\u307b\u3068\u3093\u3069\u306f\u3001\u975e\u5e38\u306b\u591a\u304f\u306e\u7c92\u5b50 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u3092\u542b\u307f\u3001\u304b\u3064\u8003\u616e\u3055\u308c\u308b\u9818\u57df\u306f\u7cfb\u306e\u5927\u304d\u3055\u306b\u6bd4\u3079\u3066\u5c0f\u3055\u3044\u305f\u3081\u3001\u30dd\u30a2\u30bd\u30f3\u8fd1\u4f3c\u3092\u9069\u7528\u3059\u308b\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u3002\u305d\u306e\u7d50\u679c\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064:<\/p>\n<p style=\"text-align: center; color:\"><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>\u30dd\u30a2\u30bd\u30f3\u6642\u9593\u904e\u7a0b<\/h3>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=944s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6642\u523b t=0 \u304b\u3089<\/span><\/strong><\/a> \u653e\u5c04\u6027\u7269\u8cea\u306b\u3088\u3063\u3066\u653e\u51fa\u3055\u308c\u308b\u7c92\u5b50\u306e\u6570\u3092\u8a18\u9332\u3057\u3001\u305d\u306e\u4e0a\u3067\u533a\u9593 [0,t[ \u306b\u304a\u3044\u3066\u6b63\u78ba\u306b k \u500b\u306e\u7c92\u5b50\u304c\u653e\u51fa\u3055\u308c\u308b\u78ba\u7387\u3092\u3001\u4ee5\u4e0b\u306e\u4eee\u5b9a\u306e\u3082\u3068\u3067\u8a08\u7b97\u3059\u308b:<\/p>\n<ul style=\"text-align: justify; color:\">\n<li><strong>\u4e0d\u5909\u6027:<\/strong> \u5b9f\u9a13\u6761\u4ef6\u306f\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u5316\u3057\u306a\u3044\u3002<\/li>\n<li><strong>\u7121\u8a18\u61b6\u6027:<\/strong> \u533a\u9593 [0,t[ \u3067\u8d77\u3053\u3063\u305f\u3053\u3068\u306f [t,t'[ \u306b\u304a\u3051\u308b\u51fa\u6765\u4e8b\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u306a\u3044\u3002<\/li>\n<li><strong>\u5b64\u7acb\u3057\u305f\u4e8b\u8c61:<\/strong> \u7c92\u5b50\u306f\u4e00\u5ea6\u306b 1 \u3064\u305a\u3064\u653e\u51fa\u3055\u308c\u308b\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify; color:\">\u6642\u9593\u904e\u7a0b\u306e\u4eee\u5b9a\u3092\u7a7a\u9593\u904e\u7a0b\u306e\u4eee\u5b9a\u3068\u6bd4\u8f03\u3059\u308b\u3068\u3001\u4e21\u8005\u306f\u5f62\u5f0f\u7684\u306b\u540c\u5024\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u3042\u308b\u9818\u57df\u306b\u7c92\u5b50\u3092\u898b\u3064\u3051\u308b\u78ba\u7387\u304c\u305d\u306e\u9818\u57df\u306e\u4f4d\u7f6e\u3067\u306f\u306a\u304f\u5927\u304d\u3055\u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u3088\u3046\u306b\u3001\u7c92\u5b50\u306e\u653e\u51fa\u3092\u89b3\u6e2c\u3059\u308b\u78ba\u7387\u3082\u6e2c\u5b9a\u306e\u6642\u523b\u3067\u306f\u306a\u304f\u89b3\u6e2c\u533a\u9593\u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u3002\u7121\u8a18\u61b6\u6027\u306f\u3001\u7a7a\u9593\u904e\u7a0b\u306b\u304a\u3051\u308b\u975e\u76f8\u4e92\u4f5c\u7528\u306b\u5bfe\u5fdc\u3059\u308b\u3002\u4ed6\u306e\u6642\u523b\u3067\u8d77\u3053\u3063\u305f\u3053\u3068\u306f\u3001\u6b8b\u308a\u306e\u6642\u523b\u3067\u8d77\u3053\u308b\u3053\u3068\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u306a\u3044\u3002\u6700\u5f8c\u306b\u3001\u5b64\u7acb\u3057\u305f\u4e8b\u8c61\u3068\u306f\u3001\u3042\u308b\u77ac\u9593\u306b\u306f 1 \u3064\u306e\u7c92\u5b50\u3057\u304b\u653e\u51fa\u3055\u308c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u3001\u3053\u308c\u306f\u7a7a\u9593\u306b\u304a\u3044\u3066 1 \u3064\u306e\u5834\u6240\u304c\u540c\u6642\u306b 1 \u3064\u306e\u7269\u4f53\u3057\u304b\u5360\u6709\u3067\u304d\u306a\u3044\u3053\u3068\u306b\u5bfe\u5fdc\u3059\u308b\u3002<\/p>\n<p style=\"text-align: justify; color:\">\u3057\u305f\u304c\u3063\u3066\u3001\u6642\u9593\u533a\u9593 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t<\/span><\/span> \u306b\u304a\u3044\u3066\u300ck \u500b\u306e\u7c92\u5b50\u304c\u653e\u51fa\u3055\u308c\u308b\u300d\u3068\u3044\u3046\u4e8b\u8c61\u3092\u5b9a\u7fa9\u3059\u308b\u3068\u3001\u305d\u306e\u767a\u751f\u78ba\u7387\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g_k(t)<\/span><\/span> \u306e\u5f62\u3067\u4e0e\u3048\u3089\u308c\u308b\u3002\u3059\u306a\u308f\u3061:<\/p>\n<p style=\"text-align: center; color:\"><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>\u6642\u9593\u7684\u904e\u7a0b\u3068\u7a7a\u9593\u7684\u904e\u7a0b<\/h3>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=mQ0j3FE8p2U&amp;t=1102s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u7a7a\u9593\u904e\u7a0b\u3068\u6642\u9593\u904e\u7a0b\u306e\u4e21\u65b9\u306f\u5f62\u5f0f\u7684\u306b\u540c\u5024\u3067\u3042\u308b\u3002<\/span><\/strong><\/a> \u305f\u3060\u3057\u3001\u5b9f\u969b\u306e\u5fdc\u7528\u306b\u304a\u3044\u3066\u306f\u89e3\u91c8\u306e\u4ed5\u65b9\u304c\u7570\u306a\u308b\u3002\u3053\u306e\u533a\u5225\u3092\u660e\u78ba\u306b\u3059\u308b\u8fc5\u901f\u306a\u65b9\u6cd5\u306f\u3001\u4e21\u65b9\u306e\u5834\u5408\u306b\u73fe\u308c\u308b\u5b9a\u6570\u300cc\u300d\u306e\u5f79\u5272\u3092\u89b3\u5bdf\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u6307\u6570\u95a2\u6570\u304c\u9069\u5207\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u305f\u3081\u306b\u306f\u3001\u305d\u306e\u5f15\u6570\u304c\u7121\u6b21\u5143\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u3057\u304b\u3057\u3001\u3053\u306e\u5f15\u6570\u306b\u306f\u6642\u9593\u307e\u305f\u306f\u7a7a\u9593\u306e\u5358\u4f4d\u304c\u542b\u307e\u308c\u3066\u304a\u308a\u3001\u6642\u9593\u904e\u7a0b\u304b\u7a7a\u9593\u904e\u7a0b\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u3002\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306e\u304c\u5b9a\u6570 c \u3067\u3042\u308b\u3002\u6211\u3005\u306f\u6b21\u3092\u5f97\u308b:<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Po(k;\\lambda)=\\displaystyle \\frac{\\lambda^k}{k!}e^{-\\lambda}=\\left\\{\\begin{matrix} { \\lambda = \\rho v \\, \u3068\u3059\u308b\u3068 } &amp; \\longmapsto &amp;\\displaystyle \\frac{(\\rho v)^k}{k!}e^{-\\rho v} &amp; {\u7a7a\u9593\u904e\u7a0b} \\\\ { \\lambda = \\nu t \\, \u3068\u3059\u308b\u3068 } &amp; \\longmapsto &amp;\\displaystyle \\frac{(\\nu t)^k}{k!}e^{-\\nu t} &amp; {\u6642\u9593\u904e\u7a0b} \\end{matrix} \\right.<\/span><\/span><\/p>\n<ul style=\"text-align: justify; color:\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c=\\rho<\/span><\/span> \u306e\u5834\u5408\u3001\u3053\u308c\u306f\u7a7a\u9593\u5bc6\u5ea6\uff08\u5358\u4f4d\u7a7a\u9593\u3042\u305f\u308a\u306e\u4e8b\u8c61\u6570\uff09\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u30dd\u30a2\u30bd\u30f3\u7a7a\u9593\u904e\u7a0b\u3092\u5b9a\u7fa9\u3059\u308b\u3002<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c=\\nu<\/span><\/span> \u306e\u5834\u5408\u3001\u3053\u308c\u306f\u6642\u9593\u5bc6\u5ea6\uff08\u3042\u308b\u3044\u306f\u983b\u5ea6\u3001\u5358\u4f4d\u6642\u9593\u3042\u305f\u308a\u306e\u4e8b\u8c61\u6570\uff09\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u30dd\u30a2\u30bd\u30f3\u6642\u9593\u904e\u7a0b\u3092\u5b9a\u7fa9\u3059\u308b\u3002<\/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>\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u304c\u7528\u3044\u3089\u308c\u308b\u5b9f\u8df5\u4f8b<\/h2>\n<ol style=\"text-align: justify; color:\">\n<li>\u3042\u308b\u30b9\u30fc\u30d1\u30fc\u30de\u30fc\u30b1\u30c3\u30c8\u306e\u30ec\u30b8\u306f\u5e73\u5747\u3057\u3066 9 \u5206\u3054\u3068\u306b 2 \u4eba\u306e\u9867\u5ba2\u3092\u5bfe\u5fdc\u3059\u308b\u30025 \u5206\u9593\u306b 1 \u4eba\u30012 \u4eba\u30013 \u4eba\u3001\u2026\u30015 \u4eba\u307e\u3067\u5bfe\u5fdc\u3059\u308b\u78ba\u7387\u3092\u793a\u3059\u8868\u3092\u4f5c\u6210\u305b\u3088\u3002<\/li>\n<li>\u3042\u308b\u52d5\u7269\u75c5\u9662\u306f 1 \u65e5\u306b\u6700\u5927 12 \u4eba\u306e\u9867\u5ba2\u306b\u5bfe\u5fdc\u3067\u304d\u308b\u80fd\u529b\u3092\u6301\u3064\u3002\u5e73\u5747\u3057\u3066 1 \u65e5\u306b 9 \u4eba\u306e\u9867\u5ba2\u304c\u6765\u9662\u3059\u308b\u5834\u5408\u3001\u3042\u308b\u4efb\u610f\u306e\u65e5\u306b\u305d\u306e\u80fd\u529b\u3092\u8d85\u3048\u308b\u78ba\u7387\u306f\u3069\u308c\u307b\u3069\u304b\u3002<\/li>\n<li>\u3042\u308b\u5730\u57df\u306e\u4eba\u53e3\u5bc6\u5ea6\u306f 1000 \u5e73\u65b9\u30e1\u30fc\u30c8\u30eb\u3042\u305f\u308a 10 \u4eba\u3067\u3042\u308b\u300260 \u5e73\u65b9\u30e1\u30fc\u30c8\u30eb\u306e\u5834\u6240\u306b 15 \u4eba\u672a\u6e80\u306e\u4eba\u304c\u3044\u308b\u78ba\u7387\u306f\u3069\u308c\u307b\u3069\u304b\u3002<\/li>\n<li>1 \u7fbd\u306e\u30cb\u30ef\u30c8\u30ea\u304c\u9053\u8def\u3092\u6a2a\u65ad\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u3002\u76f4\u7dda\u7684\u306b\u6b69\u304f\u3068 58 \u79d2\u304b\u304b\u308b\u3002\u3053\u306e\u9053\u8def\u306b\u306f 1 \u5206\u3042\u305f\u308a 3 \u53f0\u306e\u8eca\u4e21\u304c\u901a\u884c\u3057\u3066\u304a\u308a\u3001\u6a2a\u65ad\u4e2d\u306b 1 \u53f0\u3067\u3082\u8eca\u304c\u901a\u308c\u3070\u5fc5\u305a\u8f62\u304b\u308c\u3066\u6b7b\u4ea1\u3059\u308b\u3002\u3053\u306e\u30cb\u30ef\u30c8\u30ea\u304c\u7121\u4e8b\u306b\u5411\u3053\u3046\u5074\u3078\u5230\u9054\u3059\u308b\u78ba\u7387\u306f\u3069\u308c\u307b\u3069\u304b\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c \u8981\u7d04\u672c\u8b1b\u7fa9\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\u3092\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\u3068\u3057\u3066\u53d6\u308a\u6271\u3046\u3053\u3068\u306b\u7126\u70b9\u3092\u5f53\u3066\u308b\u3002\u307e\u305a\u3001\u4fc2\u6570\u304a\u3088\u3073\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u5b9a\u7fa9\u304b\u3089\u59cb\u3081\u308b\u3002\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306f\u3001\u591a\u6570\u306e\u8a66\u884c\u3068\u6975\u3081\u3066\u5c0f\u3055\u3044\u500b\u5225\u78ba\u7387\u3092\u3082\u3064\u30d9\u30eb\u30cc\u30fc\u30a4\u4e8b\u8c61\u304b\u3089\u5c0e\u304b\u308c\u308b\u3002\u672c\u8b1b\u7fa9\u306e\u4e2d\u5fc3\u90e8\u5206\u3067\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u8fd1\u4f3c\u904e\u7a0b\u3001\u3059\u306a\u308f\u3061\u7a7a\u9593\u7684\u304a\u3088\u3073\u6642\u9593\u7684\u904e\u7a0b\u3092\u6271\u3044\u3001\u305d\u308c\u305e\u308c\u6db2\u4f53\u4e2d\u306e\u5fae\u5c0f\u7c92\u5b50\u3084\u653e\u5c04\u6027\u7269\u8cea\u306b\u3088\u308b\u7c92\u5b50\u306e\u653e\u51fa\u3068\u3044\u3063\u305f\u4f8b\u3092\u7528\u3044\u308b\u3002\u6700\u5f8c\u306b\u3001\u30b9\u30fc\u30d1\u30fc\u30de\u30fc\u30b1\u30c3\u30c8\u306b\u304a\u3051\u308b\u9867\u5ba2\u5bfe\u5fdc\u3084\u5730\u57df\u306e\u4eba\u53e3\u5bc6\u5ea6\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u6587\u8108\u306b\u304a\u3051\u308b\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u5fdc\u7528\u4f8b\u3092\u793a\u3057\u3066\u7de0\u3081\u304f\u304f\u3089\u308c\u308b\u3002 \u5b66\u7fd2\u76ee\u6a19: \u672c\u8b1b\u7fa9\u3092\u4fee\u4e86\u3057\u305f\u5f8c\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b: \u7406\u89e3\u3059\u308b \u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u5b9a\u7fa9\u304a\u3088\u3073\u305d\u306e\u4fc2\u6570\u3002 \u7406\u89e3\u3059\u308b \u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\u3092\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\u3068\u3057\u3066\u3002 \u7406\u89e3\u3059\u308b \u30dd\u30a2\u30bd\u30f3\u306e\u7a7a\u9593\u904e\u7a0b\u3068\u6642\u9593\u904e\u7a0b\u306e\u5f62\u5f0f\u7684\u540c\u5024\u6027\u3002 \u6d3b\u7528\u3059\u308b \u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3092\u7528\u3044\u3066\u5b9f\u8df5\u7684\u306a\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u3002 \u76ee\u6b21: \u4fc2\u6570\u3068\u30dd\u30a2\u30bd\u30f3\u5206\u5e03 \u30dd\u30a2\u30bd\u30f3\u8fd1\u4f3c\u904e\u7a0b \u30dd\u30a2\u30bd\u30f3\u7a7a\u9593\u904e\u7a0b \u30dd\u30a2\u30bd\u30f3\u6642\u9593\u904e\u7a0b \u6642\u9593\u7684\u304a\u3088\u3073\u7a7a\u9593\u7684 \u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u304c\u7528\u3044\u3089\u308c\u308b\u5b9f\u8df5\u4f8b \u30dd\u30a2\u30bd\u30f3\u306e\u4fc2\u6570\u3068\u5206\u5e03 \u3053\u3053\u3067\u8fd1\u4f3c\u3092\u8003\u3048\u3066\u307f\u3088\u3046 \u4e8c\u9805\u5206\u5e03 \u306b\u5bfe\u3057\u3066\u3001\u8a66\u884c\u56de\u6570 \u304c\u975e\u5e38\u306b\u5927\u304d\u304f\u3001\u5404\u3005\u306e\u500b\u5225\u78ba\u7387 \u304c\u975e\u5e38\u306b\u5c0f\u3055\u3044\u5834\u5408\u3067\u3042\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u5178\u578b\u7684\u306a\u4e8c\u9805\u904e\u7a0b\u304b\u3089\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\u3078\u3068\u79fb\u884c\u3059\u308b\u3002\u3053\u308c\u3092\u8996\u899a\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u5f62\u306e\u6570\u5217\u3092\u8003\u3048\u308b: \u3053\u3053\u3067 \u304b\u3064 \u304c \u3092\u6e80\u305f\u3059\u3002\u3053\u306e\u3053\u3068\u304b\u3089\u6b21\u304c\u5f97\u3089\u308c\u308b\u3002 \u3053\u308c\u306f\u5b9f\u969b\u306b\u306f\u8a3c\u660e\u3059\u308b\u306e\u304c\u96e3\u3057\u304f\u306a\u3044\u3002\u30d9\u30eb\u30cc\u30fc\u30a4\u4e8b\u8c61\u306e\u78ba\u7387 \u3092\u53d6\u308a\u3001\u305d\u308c\u3092 \u3067\u639b\u3051\u3066\u5272\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u63a8\u8ad6\u304c\u5f97\u3089\u308c\u308b: \u3057\u305f\u304c\u3063\u3066\u3001 \u306e\u6975\u9650\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u6b21\u304c\u5f97\u3089\u308c\u308b: \u3053\u308c\u306b\u57fa\u3065\u304d\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u4fc2\u6570 \u304c\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b: \u305d\u3057\u3066\u3001\u78ba\u7387\u5909\u6570 \u304c\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u5f93\u3046\u3001\u3059\u306a\u308f\u3061 \u3068\u8a00\u3046\u306e\u306f\u6b21\u304c\u6210\u308a\u7acb\u3064\u5834\u5408\u3067\u3042\u308b: \u30dd\u30a2\u30bd\u30f3\u8fd1\u4f3c\u904e\u7a0b \u30dd\u30a2\u30bd\u30f3\u7a7a\u9593\u904e\u7a0b \u4f53\u7a4d \u306e\u5bb9\u5668\u306b\u3001\u4e00\u69d8\u306b\u6df7\u3056\u3063\u305f \u500b\u306e\u5fae\u5c0f\u7c92\u5b50\u3092\u542b\u3080\u6db2\u4f53\u3092\u8003\u3048\u3088\u3046\u3002\u3053\u3053\u3067\u306f\u3001\u6db2\u4f53\u304c\u5341\u5206\u306b\u652a\u62cc\u3055\u308c\u3066\u304a\u308a\u3001\u7c92\u5b50\u540c\u58eb\u304c\u76f8\u4e92\u4f5c\u7528\u305b\u305a\u3001\u5f15\u304d\u5408\u3046\u3053\u3068\u3082\u53cd\u767a\u3059\u308b\u3053\u3068\u3082\u306a\u3044\u3068\u4eee\u5b9a\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u4eee\u5b9a\u306f\u4ee5\u4e0b\u306e\u4e3b\u5f35\u306b\u3088\u3063\u3066\u5f62\u5f0f\u5316\u3067\u304d\u308b: \u7a7a\u9593\u7684\u5747\u8cea\u6027\u306e\u4eee\u8aac: \u6db2\u4f53\u4e2d\u306e\u3042\u308b\u9818\u57df \u306b\u7c92\u5b50\u304c\u5b58\u5728\u3059\u308b\u78ba\u7387\u306f\u3001\u305d\u306e\u9818\u57df\u306e\u4f53\u7a4d\u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u3002 \u975e\u76f8\u4e92\u4f5c\u7528: \u300cj \u756a\u76ee\u306e\u7c92\u5b50\u304c\u9818\u57df D \u306b\u5b58\u5728\u3059\u308b\u300d\u3068\u3044\u3046\u4e8b\u8c61\u306f\u3001j=1,2,&#8230;,n \u306b\u5bfe\u3057\u3066\u3059\u3079\u3066 n-\u72ec\u7acb\u3067\u3042\u308b\u3002 \u975e\u91cd\u8907: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26422,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":2,"footnotes":""},"categories":[1300,1368],"tags":[],"class_list":["post-34180","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category--ja","category-1368"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/ja\/\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\" \/>\n<meta property=\"og:description\" content=\"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/ja\/\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-05-27T13:00:29+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-08-16T11:08:59+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751-1024x285.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\" \/>\n<meta name=\"twitter:description\" content=\"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\",\"datePublished\":\"2021-05-27T13:00:29+00:00\",\"dateModified\":\"2025-08-16T11:08:59+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/\"},\"wordCount\":494,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg\",\"articleSection\":[\"\u6570\u5b66\",\"\u78ba\u7387\u3068\u7d71\u8a08\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/\",\"url\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/\",\"name\":\"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c - toposuranos.com\/material\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg\",\"datePublished\":\"2021-05-27T13:00:29+00:00\",\"dateModified\":\"2025-08-16T11:08:59+00:00\",\"description\":\"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002\",\"breadcrumb\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg\",\"width\":1792,\"height\":498,\"caption\":\"Proceso de Poisson: Aproximaci\u00f3n del Proceso Binomial\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/toposuranos.com\/material\/#website\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"name\":\"toposuranos.com\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/toposuranos.com\/material\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\",\"name\":\"toposuranos.com\/material\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\/material\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/groups\/toposuranos\",\"https:\/\/x.com\/topuranos\",\"https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\/\/www.linkedin.com\/company\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\/\/toposuranos.com\/material\"],\"url\":\"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c - toposuranos.com\/material","description":"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/ja\/\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\/","og_locale":"es_ES","og_type":"article","og_title":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c","og_description":"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002","og_url":"http:\/\/toposuranos.com\/material\/ja\/\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-05-27T13:00:29+00:00","article_modified_time":"2025-08-16T11:08:59+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751-1024x285.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c","twitter_description":"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c","datePublished":"2021-05-27T13:00:29+00:00","dateModified":"2025-08-16T11:08:59+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/"},"wordCount":494,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg","articleSection":["\u6570\u5b66","\u78ba\u7387\u3068\u7d71\u8a08"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/","url":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/","name":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg","datePublished":"2021-05-27T13:00:29+00:00","dateModified":"2025-08-16T11:08:59+00:00","description":"\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u306f\u3001\u4e8c\u9805\u904e\u7a0b\u3092\u6975\u9650\u306b\u53d6\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3042\u308b\u3002","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/04\/poisson-e1712962118751.jpg","width":1792,"height":498,"caption":"Proceso de Poisson: Aproximaci\u00f3n del Proceso Binomial"},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/ja\/%e3%83%9d%e3%82%a2%e3%82%bd%e3%83%b3%e9%81%8e%e7%a8%8b%ef%bc%9a%e4%ba%8c%e9%a0%85%e9%81%8e%e7%a8%8b%e3%81%ae%e8%bf%91%e4%bc%bc\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u30dd\u30a2\u30bd\u30f3\u904e\u7a0b\uff1a\u4e8c\u9805\u904e\u7a0b\u306e\u8fd1\u4f3c"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/34180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=34180"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/34180\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/26422"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=34180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=34180"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=34180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}