{"id":63,"date":"2023-09-17T07:21:09","date_gmt":"2023-09-17T07:21:09","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%95%b0%e5%80%a4%e3%81%ae%e9%9a%8e%e4%b9%97%e9%96%a2%e6%95%b0\/"},"modified":"2023-09-17T07:21:09","modified_gmt":"2023-09-17T07:21:09","slug":"%e6%95%b0%e5%80%a4%e3%81%ae%e9%9a%8e%e4%b9%97%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%95%b0%e5%80%a4%e3%81%ae%e9%9a%8e%e4%b9%97%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u6570\u5024\u306e\u968e\u4e57\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u6570\u5024\u306e\u968e\u4e57\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3068\u3001\u6700\u3082\u4f7f\u7528\u3055\u308c\u308b\u968e\u4e57\u306e\u5024\u3092\u793a\u3059\u8868\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u96fb\u5353\u3092\u4f7f\u3063\u3066\u6570\u5024\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3082\u6559\u3048\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u968e\u4e57\u306e\u5fdc\u7528\u3068\u7279\u6027\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-factorial-de-un-numero\"><\/span>\u6570\u5024\u306e\u968e\u4e57\u3068\u306f\u4f55\u3067\u3059\u304b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u6570\u5b66\u3067\u306f\u3001<strong>\u6570\u5024\u306e\u968e\u4e57\u306f<\/strong>\u30011 \u304b\u3089\u305d\u306e\u6570\u5024\u307e\u3067\u306e\u3059\u3079\u3066\u306e\u6b63\u306e\u6574\u6570\u306e\u7a4d\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6570\u5024\u306e\u968e\u4e57\u306f\u3001\u6570\u5024\u306e\u5f8c\u306e\u611f\u5606\u7b26 (!) \u3067\u8868\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorielle-dun-nombre.jpg\" alt=\"\u6570\u5024\u306e\u968e\u4e57\" class=\"wp-image-1870\" width=\"152\" height=\"152\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u305f\u3068\u3048\u3070\u3001\u6570\u5024<em>n<\/em>\u306e\u968e\u4e57 (\u968e\u4e57<em>n<\/em>\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u6570\u5024<em>n<\/em>\u306b\u305d\u306e\u524d\u306b\u3042\u308b\u3059\u3079\u3066\u306e\u6574\u6570 (1 \u304b\u3089\u59cb\u307e\u308b) \u3092\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49a90a973e9e420c44502cd9c8a870ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n! = 1 \\cdot 2 \\cdot 3 \\cdots (n-2) \\cdot (n-1) \\cdot n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-calcular-el-factorial-de-un-numero\"><\/span>\u6570\u5024\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5024\u306e\u968e\u4e57\u306e\u610f\u5473\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u4f8b\u3092\u4f7f\u3063\u3066\u968e\u4e57\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li> 4 \u306e\u968e\u4e57\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u6570\u5b66\u7684\u5b9a\u7fa9\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u6570\u5024\u306e\u968e\u4e57\u306f\u3001\u305d\u308c\u4ee5\u4e0b\u306e\u3059\u3079\u3066\u306e\u6b63\u306e\u6574\u6570\u306e\u4e57\u7b97\u3068\u540c\u7b49\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30014 \u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6570\u5024 1\u30012\u30013\u30014 \u3092\u639b\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2d8186d4343b8a2ffc6567e323dab6d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4! = 1 \\cdot 2 \\cdot 3 \\cdot 4 =24\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"153\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30014 \u306e\u968e\u4e57\u306f 24 \u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-factoriales-de-numeros\"><\/span>\u6570\u5024\u306e\u968e\u4e57\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5024\u306e\u968e\u4e57\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u7570\u306a\u308b\u6570\u5024\u306e\u3044\u304f\u3064\u304b\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li> 3 \u306e\u968e\u4e57:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-325e737422d7201e476c4a60bfe966f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3! = 1 \\cdot 2 \\cdot 3 =6\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> 5 \u306e\u968e\u4e57:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b9936934f623ae1f84b1d8d33b5a6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5! = 1 \\cdot 2 \\cdot 3 \\cdot 4 \\cdot 5=120\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"184\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> 6 \u306e\u968e\u4e57:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb40997fdc483ae843ffed87eb17a70c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6! = 1 \\cdot 2 \\cdot 3 \\cdot 4 \\cdot 5 \\cdot 6=720\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"205\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> 1 \u306e\u968e\u4e57:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78b2257245ff53ae4369f3b71629ae83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1! = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u30011 \u3092\u4e57\u7b97\u3059\u308c\u3070\u5341\u5206\u3067\u3042\u308b\u305f\u3081\u3001\u6570\u5024 1 \u306e\u968e\u4e57\u306f 1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li> 0 \u306e\u968e\u4e57:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-255b29d39824041f4d334887daa9d55d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0! = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u306f\u3044\u3001\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u9a5a\u304f\u3079\u304d\u3053\u3068\u306b\u30010 \u306e\u968e\u4e57\u306f 0 \u3067\u306f\u306a\u304f 1 \u3067\u3059\u3002\u7406\u8ad6\u7684\u306b\u306f 0 \u306b 1 \u3092\u639b\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u306f\u5c11\u3057\u5947\u5999\u306b\u601d\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u6163\u4f8b\u3068\u3057\u3066 0 \u304c\u63a1\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002 =1\u3002 <a href=\"https:\/\/es.wikipedia.org\/wiki\/Producto_vac%C3%ADo\" target=\"_blank\" rel=\"noreferrer noopener\">\u88fd\u54c1\u30d7\u30ed\u30d1\u30c6\u30a3\u304c\u7a7a\u3067\u3042\u308b<\/a>\u305f\u3081\u3067\u3059\u3002\u3055\u3089\u306b\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u5834\u5408\u306b\u5099\u3048\u3066\u3001\u3053\u306e\u30ea\u30f3\u30af\u3092\u6b8b\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u7406\u7531\u3092\u77e5\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u306f\u3042\u307e\u308a\u95a2\u4fc2\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u91cd\u8981\u306a\u3053\u3068\u306f\u3001 <strong>0 \u306e\u968e\u4e57\u306f 1 \u306b\u7b49\u3057\u3044<\/strong>\u3068\u3044\u3046\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u304f\u3053\u3068\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Lista-de-resultados-de-factoriales-de-numeros\"><\/span>\u6570\u5024\u306e\u968e\u4e57\u306e\u7d50\u679c\u306e\u30ea\u30b9\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ee5\u4e0b\u306b\u3001\u6700\u3082\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u6570\u5024\u306e\u968e\u4e57\u3092\u8868\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u306e\u3067\u3001\u624b\u3067\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002 <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\">\u4eba\u6570\u3001\u500b\u6570\u3001\u7dcf\u6570<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\">\u6570\u5024\u306e\u968e\u4e57<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 24<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 120<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 720<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5,040<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 40,320<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 9<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 362,880<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\u5341<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">3,628,800<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\u5341\u4e00<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">39,916,800<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 12<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 479,001,600<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 13<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6,227,020,800<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 14<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 87 178 291 200<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 15<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,307,674,368,000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 16<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 20,922,789,888,000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 17<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 355,687,428,096,000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 18<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6,402,373,705,728,000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 19<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 121,645,100,408,832,000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\u4e8c\u5341<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">2,432,902,008 176,640,000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 50<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3,041,409,320 \u00b7 <sup>10.64<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 100<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 9,332 621,544 \u00b7 <sup>10,157<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4,023,872,601 \u00b7 <sup>10.2567<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 10,000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2,846,259,681 \u00b7 <sup>10,35,659<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 100,000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2 824 229 408 \u00b7 10 <sup>45 6573<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,000,000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8,263,931,688 \u00b7 10 <sup>5,565,708<\/sup> <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorial-de-un-numero-con-la-calculadora\"><\/span>\u96fb\u5353\u3092\u4f7f\u3063\u305f\u6570\u5024\u306e\u968e\u4e57<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u524d\u306e\u4f8b\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u9023\u7d9a\u3059\u308b 2 \u3064\u306e\u6570\u5024\u306e\u968e\u4e57\u306e\u7d50\u679c\u306f\u6307\u6570\u95a2\u6570\u7684\u306b\u5897\u52a0\u3059\u308b\u305f\u3081\u3001\u5927\u304d\u306a\u6570\u5024\u306e\u968e\u4e57\u3092\u77e5\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u56f0\u96e3\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u96fb\u5353\u3092\u4f7f\u3063\u3066\u6570\u5024\u306e\u968e\u4e57\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p>\u95a2\u6570\u96fb\u5353\u306b\u306f<em>x \u3068\u3044\u3046\u8a18\u53f7\u306e\u30ad\u30fc\u304c\u3042\u308a\u307e\u3059\u3002<\/em>\u3068\u304b\u3001<em>\u3093\uff01<\/em>\u6574\u6570\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u968e\u4e57\u306e\u4fa1\u5024\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u96fb\u5353\u3067\u6b21\u306e\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c202f31b798e218ed65210a5eaff6293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n! \\quad \\color{red} \\bm{\\longrightarrow} \\quad \\color{black} n\\rightarrow \\boxed{x!} \\rightarrow \\boxed{=}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"263\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u901a\u5e38\u3001CASIO \u96fb\u5353\u306b\u306f<em><em>\u968e\u4e57\u30ad\u30fc x! \u304c<\/em><\/em>\u4ed8\u3044\u3066\u3044\u307e\u3059\u3002<em>\u3068\u304b\u3001<em>\u3093\uff01<\/em><\/em> <em>x <sup>-1<\/sup><\/em>\u30dc\u30bf\u30f3\u306e\u4e0a\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u968e\u4e57\u3092\u89e3\u304f\u306e\u3067\u3001\u89e3\u304d\u65b9\u3092\u77e5\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u30019 \u306e\u968e\u4e57\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-797b93b341570c99b6ae23521134b3e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"9! \\quad \\color{red} \\bm{\\longrightarrow} \\quad \\color{black} 9\\rightarrow \\boxed{x!} \\rightarrow \\boxed{=} \\rightarrow 362880\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"340\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> 9 \u306e\u968e\u4e57\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u307e\u305a\u6570\u5024 9 \u3092\u5165\u529b\u3057\u3001\u6b21\u306b \u30ad\u30fc\u3092\u62bc\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e5326c9702600ee8b6727dc5e449b2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\boxed{x!}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"27\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u6700\u5f8c\u306b\u30a4\u30b3\u30fc\u30eb\u30dc\u30bf\u30f3\u3092\u62bc\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u8a08\u7b97\u6a5f\u306f 362,880 \u3068\u3044\u3046\u7d50\u679c\u3092\u8868\u793a\u3059\u308b\u306f\u305a\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-del-numero-factorial\"><\/span>\u968e\u4e57\u6570\u306e\u5fdc\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5024\u306e\u968e\u4e57\u95a2\u6570\u306f\u975e\u5e38\u306b\u5358\u7d14\u3067\u3070\u304b\u3052\u305f\u6f14\u7b97\u306e\u3088\u3046\u306b\u601d\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u9ad8\u5ea6\u306a\u4ee3\u6570\u3067\u306f\u304b\u306a\u308a\u983b\u7e41\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u6b21\u306b\u3001\u968e\u4e57\u306e\u4e3b\u306a\u7528\u9014\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001\u968e\u4e57\u306f<a href=\"https:\/\/mathority.org\/ja\/\u7d44\u307f\u5408\u308f\u305b\u6570\u306e\u4e8c\u9805\u4fc2\u6570\u306e\u30d5\u309a\u30ed\u30cf\u309a\u30c6\u30a3\/\"><strong><span style=\"text-decoration: underline;\">\u7d44\u307f\u5408\u308f\u305b\u6570\u3092<\/span><\/strong><\/a>\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u306a\u6f14\u7b97\u3067\u3042\u308a\u3001\u7279\u5225\u306a\u6f14\u7b97\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u7d44\u307f\u5408\u308f\u305b\u6570\u304c\u4f55\u3067\u3042\u308b\u304b\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u3053\u306e\u30ea\u30f3\u30af\u3067\u7d44\u307f\u5408\u308f\u305b\u6570\u304c\u4f55\u3067\u69cb\u6210\u3055\u308c\u3001\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u306b\u306f\u3001\u4f8b\u3001\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3001\u304a\u3088\u3073\u305d\u306e\u7279\u6027\u304c\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u591a\u6570\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u304c\u4f55\u306b\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u968e\u4e57\u306f\u3001\u95a2\u6570\u306e\u30c6\u30a4\u30e9\u30fc\u591a\u9805\u5f0f\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b\u6570\u5b66\u3067\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u540c\u69d8\u306b\u3001\u968e\u4e57\u306f\u7279\u5b9a\u306e\u7d44\u307f\u5408\u308f\u305b\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u3001\u7279\u306b\u7d44\u307f\u5408\u308f\u305b\u3068\u9806\u5217\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u610f\u5473\u3067\u3001\u968e\u4e57\u306f\u3001\u7d44\u307f\u5408\u308f\u305b\u8ad6\u3092\u4f7f\u7528\u3057\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u3082\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p> n \u500b\u306e\u8981\u7d20\u306e\u9806\u5217\u306f\u3001\u3053\u308c\u3089\u306e\u8981\u7d20\u3067\u4f5c\u6210\u3067\u304d\u308b\u3055\u307e\u3056\u307e\u306a\u914d\u7f6e\u306e\u305d\u308c\u305e\u308c\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u9806\u5217\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u968e\u4e57\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u554f\u984c\u3067 7 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304c\u914d\u7f6e\u3055\u308c\u308b\u53ef\u80fd\u6027\u306e\u6570\u3092\u898b\u3064\u3051\u305f\u3044\u5834\u5408\u306f\u30017 \u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li> 5\u8db3\u306e\u9774\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u30a2\u30ec\u30f3\u30b8\u306f\u4f55\u901a\u308a\u3042\u308b\u3067\u3057\u3087\u3046\u304b\uff1f<\/li>\n<\/ul>\n<p>\u3053\u306e\u6f14\u7fd2\u3067\u306f\u3001\u3053\u308c\u3089 5 \u8db3\u306e\u9774\u3092\u5c65\u304f\u9806\u5e8f\u3092\u8003\u616e\u3057\u3066\u7d44\u307f\u5408\u308f\u305b\u308b\u3059\u3079\u3066\u306e\u53ef\u80fd\u306a\u65b9\u6cd5\u3092\u767a\u898b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u30015 \u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6725f02a218ddc6ac88f42df99e13261_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5! = 1\\cdot 2 \\cdot 3\\cdot 4\\cdot 5 =120\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"184\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3064\u307e\u308a\u30015\u8db3\u306e\u9774\u3092120\u901a\u308a\u306e\u914d\u7f6e\u304c\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-del-numero-factorial\"><\/span>\u968e\u4e57\u6570\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u968e\u4e57\u6570\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\"><em>n<\/em>\u304c<em>m<\/em>\u3088\u308a\u5927\u304d\u3044 2 \u3064\u306e\u6b63\u306e\u6574\u6570<em>n<\/em>\u304a\u3088\u3073<em>m<\/em>\u3067\u3042\u308b\u5834\u5408\u3001\u660e\u3089\u304b\u306b<em>n<\/em>\u306e\u968e\u4e57\u306e\u5024\u306f<em>m<\/em>\u306e\u968e\u4e57\u306e\u5024\u3088\u308a\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e858d82412bf78abe42397373dc67e5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>m \\quad \\longrightarrow \\quad n! > m!&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;15&#8243; width=&#8221;183&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u6570\u5024\u306e\u968e\u4e57\u306f\u3001\u56e0\u6570\u306e 1 \u3064\u304c\u3088\u308a\u5c0f\u3055\u3044\u6570\u5024\u306e\u968e\u4e57\u306b\u306a\u308b\u3088\u3046\u306b\u968e\u4e57\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-37ca3a1bea020ccbff019c2e1766be93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>m \\quad \\longrightarrow \\quad n!= n\\cdot (n-1) \\cdots (m+1)\\cdot m!&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;361&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u30016 \u306f 4 \u3088\u308a\u5927\u304d\u3044\u305f\u3081\u30016 \u306e\u968e\u4e57\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u7c21\u7565\u5316\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ca24a5de3e3cad7df5fc66d694e6eee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6! = 6 \\cdot 5 \\cdot 4!\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"94\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u6b21\u306e\u4ee3\u6570\u5f0f\u306f\u30011 \u306e\u968e\u4e57\u3092\u9664\u304f\u4efb\u610f\u306e\u6570\u5024\u306e\u968e\u4e57\u306b\u6709\u52b9\u3067\u3059\u3002<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-35dd01cda41e2b84fbf524ff6632b4f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n!< \\left( \\frac{n+1}{2} \\right)^n\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"118\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorial-de-un-numero-negativo-o-decimal\"><\/span>\u8ca0\u307e\u305f\u306f 10 \u9032\u6570\u306e\u968e\u4e57<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u306e\u6574\u6570\u306e\u968e\u4e57\u306e\u5024\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u304c\u3001\u8ca0\u306e\u6570\u3084 10 \u9032\u6570\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b?\u7b54\u3048\u306f\u300c\u306f\u3044\u300d\u3067\u3059\u304c\u3001\u9ad8\u5ea6\u306a\u6570\u5b66\u306e\u77e5\u8b58\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<p>\u8ca0\u306e\u6570\u3068 10 \u9032\u6570\u306e\u968e\u4e57\u306f\u3001\u30aa\u30a4\u30e9\u30fc\u306e\u300c\u30ac\u30f3\u30de\u95a2\u6570\u300d\u3068\u547c\u3070\u308c\u308b\u7279\u5225\u306a\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u95a2\u6570\u306f\u3001\u6b21\u306e\u7a4d\u5206\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20553bef4090def5334022fbbd8f646b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Gamma(z)=\\int_0^\\infty t^{z-1} e^{-t}\\, \\mathrm{d}t\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"168\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u304c\u5e38\u306b\u771f\u3067\u3042\u308b\u305f\u3081\u3001\u30ac\u30f3\u30de\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u4efb\u610f\u306e\u30bf\u30a4\u30d7\u306e\u968e\u4e57\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d336cefb8a14d587ad508fcde7c55914_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n! = \\Gamma(n+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u305f\u3068\u3048\u3070 0.5 \u306e\u968e\u4e57\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u6b21\u306e\u5024\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74cf80cb3a1094ad541acd2fadab6c93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Gamma(1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"50\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306a\u305c\u306a\u3089\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b2359c9eadbef6aad92eb84450a4165_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,5! = \\Gamma(0,5+1) =\\Gamma(1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u7a4d\u5206\u306e\u89e3\u306f0.5\u306e\u968e\u4e57\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/p>\n<p>\u660e\u3089\u304b\u306b\u3001\u30ac\u30f3\u30de\u95a2\u6570\u306e\u7a4d\u5206\u3092\u89e3\u304f\u306e\u306f\u7c21\u5358\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u591a\u304f\u306e\u6570\u5b66\u7684\u6982\u5ff5\u3092\u4e8b\u524d\u306b\u8aac\u660e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u8a18\u4e8b\u3067\u306f\u8aac\u660e\u3057\u307e\u305b\u3093\u3002\u305f\u3060\u3057\u3001\u8ca0\u306e\u6570\u307e\u305f\u306f 10 \u9032\u6570\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3067\u304d\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u5b9f\u969b\u3001\u4f8b\u3068\u3057\u3066\u3001\u3044\u304f\u3064\u304b\u306e\u8ca0\u306e\u968e\u4e57\u5024\u3068 10 \u9032\u5024\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002 <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7ad27047f682b1254c792b678fc5fdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\underline{\\bm{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b827a8ed6060949fe26a6587d7f0967a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\underline{\\bm{n!}}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1d9404653c812c40471f884311057d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{1}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23d859aa265b7e809f660f3044c24290_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{2}\\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"37\" style=\"vertical-align: -12px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a19589a09d32e0a6528c6504a6011606_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(-\\frac{1}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"54\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdb20bafedd2cc451408e573c7e9d3c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"25\" style=\"vertical-align: -3px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb86f24adb23da02e1f18f7d06c4e851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{3}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cbc4e85460f947ab1d92294e3847264e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{3}{4}\\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"37\" style=\"vertical-align: -12px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-973e06c4da8ee3607e1e8f94a7a7bf4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{5}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c675261e5e335903926dc229dae84d9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{15}{8}\\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"45\" style=\"vertical-align: -12px;\"><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u6570\u5024\u306e\u968e\u4e57\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3068\u3001\u6700\u3082\u4f7f\u7528\u3055\u308c\u308b\u968e\u4e57\u306e\u5024\u3092\u793a\u3059\u8868\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u96fb\u5353\u3092\u4f7f\u3063\u3066\u6570\u5024\u306e\u968e\u4e57\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3082\u6559\u3048\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u968e\u4e57\u306e\u5fdc\u7528\u3068 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e6%95%b0%e5%80%a4%e3%81%ae%e9%9a%8e%e4%b9%97%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6570\u5024\u306e\u968e\u4e57\u95a2\u6570<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[2],"tags":[],"class_list":["post-63","post","type-post","status-publish","format-standard","hentry","category-2"],"yoast_head":"<!-- This site is optimized 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