{"id":34074,"date":"2021-03-26T00:00:43","date_gmt":"2021-03-26T00:00:43","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34074"},"modified":"2025-08-15T08:59:08","modified_gmt":"2025-08-15T08:59:08","slug":"%e8%a8%88%e6%95%b0%e6%8a%80%e6%b3%95%ef%bc%9a%e9%a0%86%e5%88%97%e3%80%81%e5%a4%89%e4%bd%8d%e3%80%81%e7%b5%84%e5%90%88%e3%81%9b","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e8%a8%88%e6%95%b0%e6%8a%80%e6%b3%95%ef%bc%9a%e9%a0%86%e5%88%97%e3%80%81%e5%a4%89%e4%bd%8d%e3%80%81%e7%b5%84%e5%90%88%e3%81%9b\/","title":{"rendered":"\u8a08\u6570\u6280\u6cd5\uff1a\u9806\u5217\u3001\u5909\u4f4d\u3001\u7d44\u5408\u305b"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u8a08\u6570\u6280\u6cd5\uff1a\u9806\u5217\u3001\u5909\u4f4d\u3001\u7d44\u5408\u305b<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6982\u8981<\/strong><br \/><em>\u78ba\u7387\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u3001\u8a08\u6570\u6280\u6cd5\u306f\u6a19\u672c\u7a7a\u9593\u304a\u3088\u3073\u6e2c\u5b9a\u5bfe\u8c61\u4e8b\u8c61\u306e\u6fc3\u5ea6\u3092\u6e2c\u308b\u305f\u3081\u306e\u57fa\u672c\u7684\u306a\u9053\u5177\u3067\u3042\u308b\u3002\u3053\u306e\u610f\u5473\u3067\u3001\u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u306e\u6280\u6cd5\u306f\u3001\u305d\u306e\u4f7f\u7528\u306e\u5bb9\u6613\u3055\u3068\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u5b9f\u9a13\u3078\u306e\u5fdc\u7528\u304b\u3089\u6700\u3082\u5e83\u304f\u5229\u7528\u3055\u308c\u3066\u3044\u308b\u3002\u76f8\u5bfe\u5ea6\u6570\u306e\u6975\u9650\u3068\u3057\u3066\u306e\u78ba\u7387\u6e2c\u5ea6\u3092\u901a\u3058\u3066\u3001\u4e8b\u8c61\u306e\u78ba\u7387\u306f\u6fc3\u5ea6\u306e\u6bd4\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u78ba\u7387\u8a08\u7b97\u306f\u6a19\u672c\u7a7a\u9593\u304a\u3088\u3073\u6e2c\u5b9a\u5bfe\u8c61\u4e8b\u8c61\u306e\u6fc3\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u5e30\u7740\u3059\u308b\u3002\u3053\u306e\u610f\u5473\u3067\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u5b9f\u9a13\u3092\u901a\u3058\u3066\u8a08\u6570\u6280\u6cd5\u3092\u5f97\u308b\u3053\u3068\u306f\u3001\u78ba\u7387\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u6975\u3081\u3066\u91cd\u8981\u3067\u3042\u308b\u3002\u5909\u4f4d\u3001\u7d44\u5408\u305b\u304a\u3088\u3073\u9806\u5217\u306e\u5b9a\u7fa9\u3092\u901a\u3058\u3066\u3001\u96c6\u5408\u306e\u5927\u304d\u3055\u3092\u52b9\u7387\u7684\u304b\u3064\u6b63\u78ba\u306b\u6e2c\u5b9a\u3067\u304d\u308b\u3002\u3053\u306e\u6388\u696d\u3067\u306f\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u3088\u3046\u306b\u8a2d\u8a08\u3055\u308c\u305f\u8907\u6570\u306e\u5b9f\u9a13\u3092\u63d0\u793a\u3057\u3001\u305d\u306e\u6a19\u672c\u7a7a\u9593\u3092\u5206\u6790\u3057\u3066\u8a08\u6570\u6280\u6cd5\u3092\u5c0e\u5165\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u9053\u5177\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u591a\u69d8\u306a\u96c6\u5408\u306e\u5927\u304d\u3055\u3092\u6e2c\u5b9a\u3057\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u5b9f\u9a13\u306b\u304a\u3051\u308b\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u3053\u306e\u6388\u696d\u3092\u4fee\u4e86\u3059\u308b\u3068\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b:\n<\/p>\n<ol>\n<strong>\u60f3\u8d77\u3059\u308b<\/strong> \u6709\u5229\u306a\u5834\u5408\u306e\u6570\u3068\u53ef\u80fd\u306a\u5834\u5408\u306e\u6570\u306e\u516c\u5f0f\u3092\u3001\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3068\u3057\u3066\u3002<br \/>\n<strong>\u7406\u89e3\u3059\u308b<\/strong> \u9806\u5217\u3001\u5909\u4f4d\u304a\u3088\u3073\u7d44\u5408\u305b\u306e\u6982\u5ff5\u3068\u3001\u305d\u306e\u78ba\u7387\u8a08\u7b97\u306b\u304a\u3051\u308b\u4f7f\u7528\u6cd5\u3002<br \/>\n<strong>\u5206\u6790\u3057<\/strong>\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u5b9f\u9a13\u306b\u304a\u3051\u308b\u6a19\u672c\u7a7a\u9593\u306e\u5927\u304d\u3055\u3068\u4e8b\u8c61\u306e\u78ba\u7387\u3068\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3059\u308b\u3002<br \/>\n<strong>\u7279\u5b9a\u3059\u308b<\/strong> \u65e5\u5e38\u751f\u6d3b\u306b\u304a\u3044\u3066\u3001\u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u306e\u8a08\u6570\u6280\u6cd5\u3092\u9069\u7528\u3067\u304d\u308b\u72b6\u6cc1\uff08\u4f8b\u3048\u3070\u3001\u8ced\u535a\u3084\u6574\u7406\u6574\u9813\u306e\u554f\u984c\u306a\u3069\uff09\u3002\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u5185\u5bb9\u7d22\u5f15<\/strong><br \/>\n<a href=\"#1\"><strong>\u8a08\u6570\u6280\u6cd5\u3068\u78ba\u7387<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u8a08\u6570\u6280\u6cd5\u306e\u5c0e\u51fa<\/strong><\/a><br \/>\n<a href=\"#3\">\u5b9f\u9a131 (AORM)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332 \u2013 \u30ea\u30bb\u30c3\u30c8\u3001M\u56de\u7e70\u308a\u8fd4\u3059<\/a><br \/>\n<a href=\"#4\">\u5b9f\u9a132 (AOK)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332\u3001K\u56de\u7e70\u308a\u8fd4\u3059<\/a><br \/>\n<a href=\"#5\">\u5b9f\u9a133 (ADK)\uff1a\u64cd\u4f5c \u2013 \u9806\u4e0d\u540c\u3067\u8a18\u9332\u3001K\u56de\u7e70\u308a\u8fd4\u3059<\/a><\/p>\n<p><center><br \/>\n<iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/72LBcZP7Fv4\" 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 \/>\n<\/br><\/br><\/p>\n<h2>\u8a08\u6570\u6280\u6cd5\u3068\u78ba\u7387<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=72LBcZP7Fv4&amp;t=7s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u306f\u3001\u78ba\u7387\u7814\u7a76\u306b\u304a\u3044\u3066\u6700\u3082\u5e83\u304f\u7528\u3044\u3089\u308c\u308b\u8a08\u6570\u6280\u6cd5\u3067\u3042\u308b<\/span><\/strong><\/a>\u306e\u306f\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u5b9f\u9a13\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u5c0e\u5165\u3059\u308b\u5229\u4fbf\u6027\u306b\u3088\u308b\u3002\u3053\u308c\u3089\u306e\u5b9f\u9a13\u306e\u6700\u3082\u8c61\u5fb4\u7684\u306a\u4f8b\u306e\u4e00\u3064\u306f\u8ced\u535a\u306b\u7531\u6765\u3059\u308b\u3002\u3053\u308c\u3089\u306f\u4e00\u822c\u7684\u306b\u3001\u6a19\u672c\u7a7a\u9593 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega = \\{\\omega_1, \\omega_2, \\cdots, \\omega_N\\}<\/span> \u4e0a\u306e\u975e\u6c7a\u5b9a\u7684\u30d7\u30ed\u30bb\u30b9\u3068\u3057\u3066\u6271\u308f\u308c\u308b\u3002\u3053\u308c\u3089\u306e\u5b9f\u9a13\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">i\\in\\{1,2,\\cdots, n\\}<\/span> \u306b\u5bfe\u3057\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">\\{\\omega_i\\}\\in\\mathcal{A}_\\Omega<\/span> \u306e\u5f62\u3092\u3057\u305f\u5168\u3066\u306e\u4e8b\u8c61\u304c\u540c\u3058\u78ba\u7387\u3067\u767a\u751f\u3059\u308b\u3068\u3044\u3046\u5171\u901a\u306e\u6027\u8cea\u3092\u6301\u3064\u3002<\/p>\n<p style=\"text-align: justify;\"><strong><a href=\"https:\/\/toposuranos.com\/el-espacio-de-probabilidades-medida-de-probabilidad\/\" target=\"_blank\" rel=\"noopener\">\u76f8\u5bfe\u5ea6\u6570\u306e\u6975\u9650\u3068\u3057\u3066\u306e\u78ba\u7387\u6e2c\u5ea6<\/a><\/strong>\u304b\u3089\u3001\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u6fc3\u5ea6\u306e\u6bd4\u3068\u3057\u3066\u5b9a\u7fa9\u3067\u304d\u308b\u3002\u65e2\u306b\u898b\u305f\u3088\u3046\u306b\u3001\u3053\u308c\u306f\u6b21\u306e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u308b:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(E) = \\displaystyle \\lim_{N\\to\\infty}g_N(E) = \\lim_{N\\to\\infty}\\frac{f_N(E)}{N}= \\frac{\\# E}{\\# \\Omega}<\/span>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u8a18\u53f7\u300c#\u300d\u306f\u96c6\u5408\u306e\u6fc3\u5ea6\u3092\u793a\u3059\u3002\u3053\u308c\u306f<strong>\u6709\u5229\u306a\u5834\u5408\u306e\u6570\u3068\u53ef\u80fd\u306a\u5834\u5408\u306e\u6570\u306e\u516c\u5f0f<\/strong>\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u3088\u3046\u306a\u72b6\u6cc1\u3067\u306f\u3001\u78ba\u7387\u8a08\u7b97\u306f\u6a19\u672c\u7a7a\u9593\u3068\u6e2c\u5b9a\u5bfe\u8c61\u4e8b\u8c61\u306e\u6fc3\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u5e30\u7740\u3059\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u307e\u305a<strong>\u8a08\u6570\u6280\u6cd5<\/strong>\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u975e\u5e38\u306b\u6709\u7528\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"2\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u8a08\u6570\u6280\u6cd5\u306e\u5c0e\u51fa<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=72LBcZP7Fv4&amp;t=260s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u3092\u5c0e\u5165\u3059\u308b\u305f\u3081\u306b\u3001<\/strong><\/span><\/a>\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u3088\u3046\u306b\u8a2d\u8a08\u3055\u308c\u305f\u5b9f\u9a13\u3092\u8003\u6848\u3057\u3001\u305d\u308c\u3089\u304b\u3089\u3053\u308c\u3089\u306e\u8a08\u6570\u6280\u6cd5\u306b\u3064\u306a\u304c\u308b\u63a8\u8ad6\u3092\u884c\u3046\u3002<\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u300c\u5b8c\u5168\u306a\u30e9\u30f3\u30c0\u30e0\u6a5f\u68b0\u300d\u3092\u4eee\u5b9a\u3059\u308b\u3002\u3053\u308c\u306f\u30d6\u30e9\u30c3\u30af\u30dc\u30c3\u30af\u30b9\u3001\u30e1\u30e2\u30ea\u3001\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u304a\u3088\u3073\u30ea\u30bb\u30c3\u30c8\u30dc\u30bf\u30f3\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u3002\u3053\u306e\u6a5f\u68b0\u306f\u6b21\u306e\u6027\u8cea\u3092\u6301\u3064:<\/p>\n<ol>\n<li style=\"text-align: justify;\">\u6a5f\u68b0\u306f\u4e00\u3064\u306e\u8a2d\u5b9a\u306e\u307f\u3092\u30ab\u30b9\u30bf\u30de\u30a4\u30ba\u53ef\u80fd\u3067\u3042\u308b\uff1a\u305d\u306e\u6a19\u672c\u7a7a\u9593\u306e\u6fc3\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N = \\{\\omega_1,\\cdots,\\omega_N\\}<\/span><\/li>\n<li style=\"text-align: justify;\">\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u3092\u62bc\u3059\u3068\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N<\/span> \u306e\u8981\u7d20\u306e\u4e00\u3064\u304c\u753b\u9762\u306b\u8868\u793a\u3055\u308c\u308b<\/li>\n<li style=\"text-align: justify;\">\u7d50\u679c\u304c\u8868\u793a\u3055\u308c\u308b\u3068\u3001\u305d\u308c\u306f\u30e1\u30e2\u30ea\u306b\u4fdd\u5b58\u3055\u308c\u3001\u305d\u3053\u306b\u3042\u308b\u9650\u308a\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u3092\u62bc\u3057\u3066\u3082\u518d\u3073\u8868\u793a\u3055\u308c\u306a\u3044\u3002<\/li>\n<li style=\"text-align: justify;\">\u6a5f\u68b0\u304c\u53ef\u80fd\u306a\u5168\u3066\u306e\u7d50\u679c\u3092\u8868\u793a\u3057\u7d42\u3048\u308b\u3068\u3001\u505c\u6b62\u3057\u3001\u4f55\u3082\u8868\u793a\u3057\u306a\u304f\u306a\u308b\u3002<\/li>\n<li style=\"text-align: justify;\">\u30ea\u30bb\u30c3\u30c8\u30dc\u30bf\u30f3\u306f\u30e1\u30e2\u30ea\u3068\u753b\u9762\u8868\u793a\u3092\u6d88\u53bb\u3059\u308b\u3002<\/li>\n<\/ol>\n<p style=\"text-align: justify;\">\u3053\u306e\u6a5f\u68b0\u3092\u7528\u3044\u3066\u3044\u304f\u3064\u304b\u306e\u601d\u8003\u5b9f\u9a13\u3092\u8a2d\u8a08\u3057\u3001\u305d\u306e\u6a19\u672c\u7a7a\u9593\u3092\u5206\u6790\u3059\u308b\u3002<\/p>\n<p><a name=\"3\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h3>\u5b9f\u9a131 (AORm)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332 \u2013 \u30ea\u30bb\u30c3\u30c8\u3001m\u56de\u7e70\u308a\u8fd4\u3059<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=72LBcZP7Fv4&amp;t=406s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6a5f\u68b0\u3092\u8a2d\u5b9a\u3059\u308b<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">\\#\\Omega = N<\/span> \u3068\u3057\u3001\u6b21\u306e\u624b\u9806\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">m\\leq N<\/span> \u56de\u7e70\u308a\u8fd4\u3059:<\/p>\n<ol>\n<li style=\"text-align: justify;\">\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u3092\u62bc\u3059<\/li>\n<li style=\"text-align: justify;\">\u7d50\u679c\u3092\u9806\u5e8f\u4ed8\u304d\u30ea\u30b9\u30c8\u306b\u8a18\u9332\u3059\u308b<\/li>\n<li style=\"text-align: justify;\">\u30ea\u30bb\u30c3\u30c8\u3059\u308b<\/li>\n<\/ol>\n<p style=\"text-align: justify;\">\u7d42\u4e86\u6642\u306b\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N = \\{\\omega_1,\\cdots,\\omega_N\\}<\/span> \u306e <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u500b\u306e\u8981\u7d20\u304b\u3089\u306a\u308b\u9806\u5e8f\u4ed8\u304d\u30ea\u30b9\u30c8\u304c\u5f97\u3089\u308c\u308b\u3002\u3053\u306e\u30ea\u30b9\u30c8\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N<\/span> \u306e m-\u30bf\u30d7\u30eb\u3068\u3057\u3066\u89e3\u91c8\u3067\u304d\u308b\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u3053\u306e\u5b9f\u9a13\u306e\u6a19\u672c\u7a7a\u9593 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{AORm}<\/span> \u306f\u6b21\u306e\u5f62\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{AORm}=\\Omega_N \\times \\cdots \\times \\Omega_N = \\Omega_N^m<\/span>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\#\\Omega_{AORm}=\\#\\Omega_N^m = N^m<\/span> \u3068\u306a\u308b\u3002<\/p>\n<p><a name=\"4\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h3>\u5b9f\u9a132 (AOk)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332\u3001k\u56de\u7e70\u308a\u8fd4\u3059<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=72LBcZP7Fv4&amp;t=542s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u518d\u3073\u6a5f\u68b0\u3092\u8a2d\u5b9a\u3057<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">\\#\\Omega = N<\/span> \u3068\u3057\u3001<span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u56de (<span class=\"katex-eq\" data-katex-display=\"false\">k\\leq N<\/span>) \u6b21\u306e\u624b\u9806\u3092\u7e70\u308a\u8fd4\u3059:<\/p>\n<ol>\n<li style=\"text-align: justify;\">\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u3092\u62bc\u3059\u3002<\/li>\n<li style=\"text-align: justify;\">\u7d50\u679c\u3092\u9806\u5e8f\u4ed8\u304d\u30ea\u30b9\u30c8\u306b\u8a18\u9332\u3059\u308b\u3002<\/li>\n<\/ol>\n<p style=\"text-align: justify;\">\u7d42\u4e86\u6642\u306b\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N = \\{\\omega_1,\\cdots,\\omega_N\\}<\/span> \u306e <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u500b\u306e\u8981\u7d20\u304b\u3089\u306a\u308b\u9806\u5e8f\u4ed8\u304d\u30ea\u30b9\u30c8\u304c\u5f97\u3089\u308c\u308b\u304c\u3001\u3044\u305a\u308c\u306e\u8981\u7d20\u3082\u5148\u884c\u3059\u308b\u3082\u306e\u3068\u91cd\u8907\u3057\u306a\u3044\u3002<\/p>\n<p style=\"text-align: justify;\">\u6a5f\u68b0\u306f\u539f\u5247\u3068\u3057\u3066\u3069\u306e\u7d50\u679c\u3082\u5747\u7b49\u306b\u51fa\u529b\u3059\u308b\uff08\u5b8c\u5168\u306b\u30e9\u30f3\u30c0\u30e0\u3067\u3042\u308b\uff09\u305f\u3081\u3001\u4e00\u822c\u6027\u3092\u5931\u3046\u3053\u3068\u306a\u304f\u3001\u6700\u521d\u306e\u64cd\u4f5c\u3067\u4e8b\u8c61 <span class=\"katex-eq\" data-katex-display=\"false\">\\{\\omega_1\\}<\/span> \u304c\u767a\u751f\u3057\u305f\u3068\u4eee\u5b9a\u3067\u304d\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u6b21\u306e\u64cd\u4f5c\u306e\u6a19\u672c\u7a7a\u9593\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N\\setminus\\{\\omega_1\\}<\/span> \u3068\u306a\u308b\u3002\u540c\u69d8\u306b\u30012\u56de\u76ee\u306e\u64cd\u4f5c\u3067 <span class=\"katex-eq\" data-katex-display=\"false\">\\{\\omega_2\\}<\/span> \u304c\u767a\u751f\u3057\u305f\u3068\u4eee\u5b9a\u3067\u304d\u3001\u305d\u306e\u5834\u5408\u3001\u6b21\u306e\u64cd\u4f5c\u306e\u6a19\u672c\u7a7a\u9593\u306f <span class=\"katex-eq\" data-katex-display=\"false\">(\\Omega_N\\setminus\\{\\omega_1\\})\\setminus\\{\\omega_2\\}<\/span> \u3068\u306a\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u9032\u3081\u308b\u3068\u3001k \u56de\u76ee\u306e\u64cd\u4f5c\u3067\u306f\u6a19\u672c\u7a7a\u9593\u306f\u6b21\u306e\u5f62\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\cdots(\\Omega_N\\setminus\\{\\omega_1\\})\\setminus\\{\\omega_2\\}\\cdots)\\setminus\\{\\omega_{k-1}\\}<\/span>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5b9f\u9a13\u306b\u304a\u3051\u308b\u53ef\u80fd\u306a\u7d50\u679c\u306e\u6a19\u672c\u7a7a\u9593\u306f\u6b21\u306e\u5f62\u3068\u306a\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{AOk}= \\Omega \\times (\\Omega_N\\setminus\\{\\omega_1\\}) \\times ((\\Omega_N\\setminus\\{\\omega_1\\})\\setminus\\{\\omega_2\\}) \\times \\cdots \\times ((\\cdots(\\Omega_N\\setminus\\{\\omega_1\\})\\setminus\\{\\omega_2\\}\\cdots)\\setminus\\{\\omega_{k-1}\\}) <\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u96c6\u5408\u306e\u6fc3\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\#\\Omega_{AOk}= N \\cdot (N-1) \\cdot (N-2) \\cdots [N-(k-1)]=\\displaystyle \\frac{N!}{(N-k)!}<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u7d50\u679c\u304b\u3089\u6b21\u306e\u5b9a\u7fa9\u304c\u5c0e\u304b\u308c\u308b\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; color: #800000; background-color: #dddddd;\"><strong>\u5b9a\u7fa9<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u500b\u306e\u8981\u7d20\u304b\u3089 <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u500b\u305a\u3064\u53d6\u308b<strong>\u5909\u4f4d\u306e\u6570<\/strong>\uff08<span class=\"katex-eq\" data-katex-display=\"false\">N\\leq k<\/span>\uff09\u3092\u3001\u6b21\u306e\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(N)_k = \\displaystyle \\frac{N!}{(N-k)!}<\/span>\n<p>\u3053\u308c\u306b\u57fa\u3065\u304d\u3001\u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">0! =1<\/span> \u3068\u3044\u3046\u4e8b\u5b9f\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u500b\u306e\u8981\u7d20\u306b\u5bfe\u3059\u308b<strong>\u9806\u5217\u306e\u6570<\/strong>\u306f\u6b21\u306e\u5f0f\u3067\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(N)_N = N!<\/span>.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"5\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h3>\u5b9f\u9a133 (ADk)\uff1a\u64cd\u4f5c \u2013 \u9806\u4e0d\u540c\u3067\u8a18\u9332\u3001k\u56de\u7e70\u308a\u8fd4\u3059<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=72LBcZP7Fv4&amp;t=1204s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3053\u306e\u5b9f\u9a13\u306f\u524d\u306e\u5b9f\u9a13\u3068\u5168\u304f\u540c\u3058\u3067\u3042\u308b\u304c\u3001<\/span><\/strong><\/a>\u4eca\u5ea6\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N<\/span> \u306e\u8981\u7d20\u304c\u73fe\u308c\u308b\u9806\u5e8f\u3092\u8a18\u9332\u3057\u306a\u3044\u3002\u3059\u306a\u308f\u3061\u3001\u540c\u3058\u8981\u7d20\u3092\u6301\u30642\u3064\u306e k-\u30bf\u30d7\u30eb\u3067\u3082\u9806\u5e8f\u304c\u7570\u306a\u308c\u3070\u540c\u4e00\u3068\u898b\u306a\u3055\u305a\u3001\u4eca\u56de\u306f\u540c\u4e00\u306e\u3082\u306e\u3068\u3057\u3066\u6271\u3046\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u5b9f\u9a13 AOk \u304b\u3089\u5f97\u3089\u308c\u308b\u5404 k-\u30bf\u30d7\u30eb\u306f <span class=\"katex-eq\" data-katex-display=\"false\">(k)_k=k!<\/span> \u901a\u308a\u306b\u66f8\u304d\u63db\u3048\u3089\u308c\u308b\u3053\u3068\u3092\u5229\u7528\u3059\u308b\u3068\u3001\u3053\u306e\u5b9f\u9a13\u306e\u6a19\u672c\u7a7a\u9593\u306e\u6fc3\u5ea6\u306f\u6b21\u306e\u5f62\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\#\\Omega_{ADk} = \\displaystyle \\frac{\\#\\Omega_{AOk}}{(k)_k} = \\frac{(N)_k}{k!} = \\frac{N!}{k!(N-k)!} <\/span>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u57fa\u3065\u304d\u3001\u6b21\u306e\u5b9a\u7fa9\u3092\u4e0e\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; color: #800000; background-color: #dddddd;\"><strong>\u5b9a\u7fa9<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u500b\u306e\u8981\u7d20\u304b\u3089 <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u500b\u305a\u3064\u53d6\u308b<strong>\u7d44\u5408\u305b\u306e\u6570<\/strong>\uff08<span class=\"katex-eq\" data-katex-display=\"false\">k\\leq N<\/span>\uff09\u3092\u3001\u6b21\u306e\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{N}\\choose{k}}= \\frac{N!}{k!(N-k)!} <\/span>\n<p>\u3053\u308c\u306f\u3001N \u500b\u306e\u8981\u7d20\u3092\u6301\u3064\u96c6\u5408\u304b\u3089 k \u500b\u306e\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3057\u3066\u5f62\u6210\u3067\u304d\u308b\u90e8\u5206\u96c6\u5408\u306e\u7dcf\u6570\u3092\u8868\u3059\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u9806\u5217\u3001\u5909\u4f4d\u304a\u3088\u3073\u7d44\u5408\u305b\u306e\u8a08\u6570\u6280\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u4eca\u3084\u591a\u69d8\u306a\u96c6\u5408\u306e\u5927\u304d\u3055\u3092\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8a08\u6570\u6280\u6cd5\uff1a\u9806\u5217\u3001\u5909\u4f4d\u3001\u7d44\u5408\u305b 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\u65e5\u5e38\u751f\u6d3b\u306b\u304a\u3044\u3066\u3001\u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u306e\u8a08\u6570\u6280\u6cd5\u3092\u9069\u7528\u3067\u304d\u308b\u72b6\u6cc1\uff08\u4f8b\u3048\u3070\u3001\u8ced\u535a\u3084\u6574\u7406\u6574\u9813\u306e\u554f\u984c\u306a\u3069\uff09\u3002 \u5185\u5bb9\u7d22\u5f15 \u8a08\u6570\u6280\u6cd5\u3068\u78ba\u7387 \u8a08\u6570\u6280\u6cd5\u306e\u5c0e\u51fa \u5b9f\u9a131 (AORM)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332 \u2013 \u30ea\u30bb\u30c3\u30c8\u3001M\u56de\u7e70\u308a\u8fd4\u3059 \u5b9f\u9a132 (AOK)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332\u3001K\u56de\u7e70\u308a\u8fd4\u3059 \u5b9f\u9a133 (ADK)\uff1a\u64cd\u4f5c \u2013 \u9806\u4e0d\u540c\u3067\u8a18\u9332\u3001K\u56de\u7e70\u308a\u8fd4\u3059 \u8a08\u6570\u6280\u6cd5\u3068\u78ba\u7387 \u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u306f\u3001\u78ba\u7387\u7814\u7a76\u306b\u304a\u3044\u3066\u6700\u3082\u5e83\u304f\u7528\u3044\u3089\u308c\u308b\u8a08\u6570\u6280\u6cd5\u3067\u3042\u308b\u306e\u306f\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u5b9f\u9a13\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u5c0e\u5165\u3059\u308b\u5229\u4fbf\u6027\u306b\u3088\u308b\u3002\u3053\u308c\u3089\u306e\u5b9f\u9a13\u306e\u6700\u3082\u8c61\u5fb4\u7684\u306a\u4f8b\u306e\u4e00\u3064\u306f\u8ced\u535a\u306b\u7531\u6765\u3059\u308b\u3002\u3053\u308c\u3089\u306f\u4e00\u822c\u7684\u306b\u3001\u6a19\u672c\u7a7a\u9593 \u4e0a\u306e\u975e\u6c7a\u5b9a\u7684\u30d7\u30ed\u30bb\u30b9\u3068\u3057\u3066\u6271\u308f\u308c\u308b\u3002\u3053\u308c\u3089\u306e\u5b9f\u9a13\u306f\u3001 \u306b\u5bfe\u3057\u3066 \u306e\u5f62\u3092\u3057\u305f\u5168\u3066\u306e\u4e8b\u8c61\u304c\u540c\u3058\u78ba\u7387\u3067\u767a\u751f\u3059\u308b\u3068\u3044\u3046\u5171\u901a\u306e\u6027\u8cea\u3092\u6301\u3064\u3002 \u76f8\u5bfe\u5ea6\u6570\u306e\u6975\u9650\u3068\u3057\u3066\u306e\u78ba\u7387\u6e2c\u5ea6\u304b\u3089\u3001\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u6fc3\u5ea6\u306e\u6bd4\u3068\u3057\u3066\u5b9a\u7fa9\u3067\u304d\u308b\u3002\u65e2\u306b\u898b\u305f\u3088\u3046\u306b\u3001\u3053\u308c\u306f\u6b21\u306e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u308b: \u3053\u3053\u3067\u8a18\u53f7\u300c#\u300d\u306f\u96c6\u5408\u306e\u6fc3\u5ea6\u3092\u793a\u3059\u3002\u3053\u308c\u306f\u6709\u5229\u306a\u5834\u5408\u306e\u6570\u3068\u53ef\u80fd\u306a\u5834\u5408\u306e\u6570\u306e\u516c\u5f0f\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u308b\u3002 \u3053\u306e\u3088\u3046\u306a\u72b6\u6cc1\u3067\u306f\u3001\u78ba\u7387\u8a08\u7b97\u306f\u6a19\u672c\u7a7a\u9593\u3068\u6e2c\u5b9a\u5bfe\u8c61\u4e8b\u8c61\u306e\u6fc3\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u5e30\u7740\u3059\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u307e\u305a\u8a08\u6570\u6280\u6cd5\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u975e\u5e38\u306b\u6709\u7528\u3067\u3042\u308b\u3002 \u8a08\u6570\u6280\u6cd5\u306e\u5c0e\u51fa \u7d44\u5408\u305b\u3001\u5909\u4f4d\u304a\u3088\u3073\u9806\u5217\u3092\u5c0e\u5165\u3059\u308b\u305f\u3081\u306b\u3001\u7b49\u78ba\u7387\u7d50\u679c\u3092\u6301\u3064\u3088\u3046\u306b\u8a2d\u8a08\u3055\u308c\u305f\u5b9f\u9a13\u3092\u8003\u6848\u3057\u3001\u305d\u308c\u3089\u304b\u3089\u3053\u308c\u3089\u306e\u8a08\u6570\u6280\u6cd5\u306b\u3064\u306a\u304c\u308b\u63a8\u8ad6\u3092\u884c\u3046\u3002 \u3053\u3053\u3067\u300c\u5b8c\u5168\u306a\u30e9\u30f3\u30c0\u30e0\u6a5f\u68b0\u300d\u3092\u4eee\u5b9a\u3059\u308b\u3002\u3053\u308c\u306f\u30d6\u30e9\u30c3\u30af\u30dc\u30c3\u30af\u30b9\u3001\u30e1\u30e2\u30ea\u3001\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u304a\u3088\u3073\u30ea\u30bb\u30c3\u30c8\u30dc\u30bf\u30f3\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u3002\u3053\u306e\u6a5f\u68b0\u306f\u6b21\u306e\u6027\u8cea\u3092\u6301\u3064: \u6a5f\u68b0\u306f\u4e00\u3064\u306e\u8a2d\u5b9a\u306e\u307f\u3092\u30ab\u30b9\u30bf\u30de\u30a4\u30ba\u53ef\u80fd\u3067\u3042\u308b\uff1a\u305d\u306e\u6a19\u672c\u7a7a\u9593\u306e\u6fc3\u5ea6 \u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u3092\u62bc\u3059\u3068\u3001 \u306e\u8981\u7d20\u306e\u4e00\u3064\u304c\u753b\u9762\u306b\u8868\u793a\u3055\u308c\u308b \u7d50\u679c\u304c\u8868\u793a\u3055\u308c\u308b\u3068\u3001\u305d\u308c\u306f\u30e1\u30e2\u30ea\u306b\u4fdd\u5b58\u3055\u308c\u3001\u305d\u3053\u306b\u3042\u308b\u9650\u308a\u30a2\u30af\u30b7\u30e7\u30f3\u30dc\u30bf\u30f3\u3092\u62bc\u3057\u3066\u3082\u518d\u3073\u8868\u793a\u3055\u308c\u306a\u3044\u3002 \u6a5f\u68b0\u304c\u53ef\u80fd\u306a\u5168\u3066\u306e\u7d50\u679c\u3092\u8868\u793a\u3057\u7d42\u3048\u308b\u3068\u3001\u505c\u6b62\u3057\u3001\u4f55\u3082\u8868\u793a\u3057\u306a\u304f\u306a\u308b\u3002 \u30ea\u30bb\u30c3\u30c8\u30dc\u30bf\u30f3\u306f\u30e1\u30e2\u30ea\u3068\u753b\u9762\u8868\u793a\u3092\u6d88\u53bb\u3059\u308b\u3002 \u3053\u306e\u6a5f\u68b0\u3092\u7528\u3044\u3066\u3044\u304f\u3064\u304b\u306e\u601d\u8003\u5b9f\u9a13\u3092\u8a2d\u8a08\u3057\u3001\u305d\u306e\u6a19\u672c\u7a7a\u9593\u3092\u5206\u6790\u3059\u308b\u3002 \u5b9f\u9a131 (AORm)\uff1a\u64cd\u4f5c \u2013 \u9806\u5e8f\u901a\u308a\u8a18\u9332 \u2013 \u30ea\u30bb\u30c3\u30c8\u3001m\u56de\u7e70\u308a\u8fd4\u3059 \u6a5f\u68b0\u3092\u8a2d\u5b9a\u3059\u308b \u3068\u3057\u3001\u6b21\u306e\u624b\u9806\u3092 \u56de\u7e70\u308a\u8fd4\u3059: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26383,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":6,"footnotes":""},"categories":[1300,1368],"tags":[],"class_list":["post-34074","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 v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u8a08\u6570\u6280\u6cd5\uff1a\u9806\u5217\u3001\u5909\u4f4d\u3001\u7d44\u5408\u305b - toposuranos.com\/material<\/title>\n<meta name=\"description\" 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