{"id":3023,"date":"2020-07-24T20:38:33","date_gmt":"2020-07-24T11:38:33","guid":{"rendered":"https:\/\/www.ktech.biz\/jp\/?p=3023"},"modified":"2020-08-22T18:02:53","modified_gmt":"2020-08-22T09:02:53","slug":"9-quad-3","status":"publish","type":"post","link":"https:\/\/www.ktech.biz\/jp\/num\/9-quad-3\/","title":{"rendered":"9. \u6570\u5024\u7a4d\u5206 (3) \u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u30d9\u30f3\u30c1\u30de\u30fc\u30af"},"content":{"rendered":"<h3>\u76ee\u6b21<\/h3>\n<p><a href=\"\/jp\/num\/9-quad-1\/\">\u6570\u5024\u7a4d\u5206 (1)<\/a>: \u6982\u8981, \u88dc\u9593\u578b\u7a4d\u5206\u516c\u5f0f, \u30ed\u30f3\u30d0\u30fc\u30b0\u7a4d\u5206, \u6570\u5024\u5b9f\u9a13, \u7a4d\u5206\u516c\u5f0f\u306e\u4fc2\u6570\u8868<br \/>\n<a href=\"\/jp\/num\/9-quad-2\/\">\u6570\u5024\u7a4d\u5206 (2)<\/a>: \u53f0\u5f62\u5247\u306e\u8aa4\u5dee, \u5909\u6570\u5909\u63db\u578b\u7a4d\u5206\u516c\u5f0f, \u8aa4\u5dee\u306e\u63a8\u5b9a, \u81ea\u52d5\u7a4d\u5206, \u7a4d\u5206\u516c\u5f0f\u306e\u4fc2\u6570\u8868<br \/>\n\u6570\u5024\u7a4d\u5206 (3): \u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u30d9\u30f3\u30c1\u30de\u30fc\u30af (\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u9078\u629e, \u6027\u80fd\u6bd4\u8f03)<\/p>\n<div class=\"su-tabs su-tabs-style-default su-tabs-mobile-stack\" data-active=\"1\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-tabs-nav\"><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u9078\u629e<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">\u6709\u9650\u533a\u9593\u7a4d\u5206<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">\u7121\u9650\u30fb\u534a\u7121\u9650\u533a\u9593\u7a4d\u5206<\/span><\/div><div class=\"su-tabs-panes\"><div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u9078\u629e\">\n<h2>\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u9078\u629e<\/h2>\n<p>XLPack\u306b\u53ce\u9332\u3055\u308c\u3066\u3044\u308b\u6570\u5024\u7a4d\u5206\u7528\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u306f, QUADPACK(\u6587\u732e[1])\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3068\u4e8c\u91cd\u6307\u6570\u95a2\u6570(DE)\u516c\u5f0f\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u306b\u5206\u3051\u3089\u308c\u308b. \u524d\u8005\u306fSLATEC\u306b\u53ce\u9332\u3055\u308c\u305fQUADPACK\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u5143\u306b\u3057\u3066\u304a\u308a, \u57fa\u672c\u7684\u306b\u306f\u901a\u5e38\u306e\u95a2\u6570\u306f\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f, \u7279\u6b8a\u306a\u95a2\u6570\u306f\u30af\u30ec\u30f3\u30b7\u30e7\u30a6\u30fb\u30ab\u30fc\u30c1\u30b9\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b. \u5f8c\u8005\u306f\u4e3b\u306b\u6587\u732e[2]\u304a\u3088\u3073[3]\u3092\u5143\u306b\u4f5c\u6210\u3057\u305f\u3082\u306e\u3067, \u4e8c\u91cd\u6307\u6570\u95a2\u6570(DE)\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b.<\/p>\n<p>\u8868\u306b\u304a\u3044\u3066\u300c\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u300d\u306f\u8981\u6c42\u7cbe\u5ea6\u3092\u6e80\u8db3\u3059\u308b\u3088\u3046\u306b\u7a4d\u5206\u533a\u9593\u3092\u9069\u5fdc\u7684\u306b\u81ea\u52d5\u5206\u5272\u3057\u3066\u8a08\u7b97\u3059\u308b\u3082\u306e\u3092\u6307\u3059. \u9069\u5fdc\u7684\u3068\u306f, \u95a2\u6570\u306e\u52d5\u304d\u3092\u307f\u3066\u5834\u6240\u306b\u3088\u308a\u5206\u5272\u3092\u7d30\u304b\u304f\u3057\u305f\u308a\u5927\u304d\u304f\u3057\u305f\u308a\u8abf\u7bc0\u3059\u308b\u3053\u3068\u3092\u3044\u3046.\u3000\u300c\u81ea\u52d5\u7a4d\u5206\u300d\u306f, \u8981\u6c42\u7cbe\u5ea6\u3092\u6e80\u8db3\u3059\u308b\u3088\u3046\u306b\u5206\u70b9\u6570(\u304d\u3056\u307f\u5e45)\u3092(\u5834\u6240\u306b\u3088\u3089\u305a\u4e00\u5f8b\u306b)\u81ea\u52d5\u9078\u629e\u3059\u308b\u3082\u306e\u3092\u6307\u3059.<\/p>\n<h3>XLPack\u306b\u53ce\u9332\u3055\u308c\u3066\u3044\u308b\u30eb\u30fc\u30c1\u30f3 (\u6709\u9650\u533a\u9593: [a, b])<\/h3>\n<div class=\"su-table su-table-responsive su-table-alternate\">\n<table>\n<tbody>\n<tr>\n<th>\u30eb\u30fc\u30c1\u30f3\u540d<\/th>\n<th>\u7a4d\u5206\u516c\u5f0f<\/th>\n<th>\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206<\/th>\n<th>\u81ea\u52d5\u7a4d\u5206<\/th>\n<th>\u7279\u8a18\u4e8b\u9805<\/th>\n<\/tr>\n<tr>\n<td>Qk15\/21\/31\/41\/51\/61<\/td>\n<td>15\/21\/31\/41\/51\/61\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td><\/td>\n<td><\/td>\n<td>\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u306e\u30b5\u30dd\u30fc\u30c8\u30eb\u30fc\u30c1\u30f3\u3067\u3042\u308b\u304c, \u5358\u4f53\u3067\u4f7f\u7528\u3057\u3066\u3082\u5341\u5206\u306a\u7cbe\u5ea6\u304c\u3042\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qng<\/td>\n<td>21\/43\/87\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td>\u8981\u6c42\u7cbe\u5ea6\u306b\u898b\u5408\u3046\u5206\u70b9\u6570\u3092\u81ea\u52d5\u9078\u629e\u3059\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qag<\/td>\n<td>15\/21\/31\/41\/51\/61\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u5c0f\u533a\u9593\u5185\u306e\u5206\u70b9\u6570\u306f6\u7a2e\u985e\u306e\u4e2d\u304b\u3089\u6307\u5b9a\u3067\u304d\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qags<\/td>\n<td>21\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u7279\u7570\u6027\u306e\u5f71\u97ff\u3092\u5c11\u306a\u304f\u3059\u308b\u5916\u633f\u3092\u884c\u3046.<\/td>\n<\/tr>\n<tr>\n<td>Defin<\/td>\n<td>\u4e8c\u91cd\u6307\u6570\u95a2\u6570(DE)\u516c\u5f0f<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td>\u7aef\u70b9\u306b\u7279\u7570\u6027\u304c\u3042\u308b\u3068\u304d\u306b\u3082\u9069\u7528\u53ef.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\u203b\u305d\u308c\u305e\u308c\u306e\u30ea\u30d0\u30fc\u30b9\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u7248\u3082\u4f7f\u7528\u53ef\u80fd(\u30eb\u30fc\u30c1\u30f3\u540d\u306b&#8221;_r&#8221;\u306e\u30b5\u30d5\u30a3\u30c3\u30af\u30b9\u304c\u4ed8\u304f)<\/p>\n<h3>XLPack\u306b\u53ce\u9332\u3055\u308c\u3066\u3044\u308b\u30eb\u30fc\u30c1\u30f3 (\u6709\u9650\u533a\u9593: [a, b], \u7279\u6b8a\u306a\u88ab\u7a4d\u5206\u95a2\u6570\u7528)<\/h3>\n<div class=\"su-table su-table-responsive su-table-alternate\">\n<table>\n<tbody>\n<tr>\n<th>\u30eb\u30fc\u30c1\u30f3\u540d<\/th>\n<th>\u7a4d\u5206\u516c\u5f0f<\/th>\n<th>\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206<\/th>\n<th>\u81ea\u52d5\u7a4d\u5206<\/th>\n<th>\u7279\u8a18\u4e8b\u9805<\/th>\n<\/tr>\n<tr>\n<td>Qagp<\/td>\n<td>21\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u7a4d\u5206\u533a\u9593\u5185\u306b\u65e2\u77e5\u306e\u7279\u7570\u70b9\u304c\u3042\u308b\u5834\u5408\u306b\u4f7f\u7528\u3059\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qawc<\/td>\n<td>25\u70b9\u30af\u30ec\u30f3\u30b7\u30e7\u30a6\u30fb\u30ab\u30fc\u30c1\u30b9\u516c\u5f0f\uff0f15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u30b3\u30fc\u30b7\u30fc\u306e\u4e3b\u5024\u7a4d\u5206 \u222b f(x)\/(x &#8211; c)dx [a, b] \u3092\u6c42\u3081\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qaws<\/td>\n<td>25\u70b9\u30af\u30ec\u30f3\u30b7\u30e7\u30a6\u30fb\u30ab\u30fc\u30c1\u30b9\u516c\u5f0f\uff0f15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u7a4d\u5206\u533a\u9593\u306e\u7aef\u306b\u4ee3\u6570\u7684\uff0f\u5bfe\u6570\u7684\u306a\u7279\u7570\u6027\u3092\u6301\u3064\u95a2\u6570\u306e\u7a4d\u5206 \u222bf(x)w(x)dx [a, b], w(x) = (x &#8211; a)^\u03b1*(b &#8211; x)^\u03b2*ln(x &#8211; a)^\u03bc*ln(b &#8211; x)^\u03bd \u3092\u6c42\u3081\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qawo<\/td>\n<td>25\u70b9\u30af\u30ec\u30f3\u30b7\u30e7\u30a6\u30fb\u30ab\u30fc\u30c1\u30b9\u516c\u5f0f\uff0f15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u632f\u52d5\u578b\u95a2\u6570\u306e\u7a4d\u5206 \u222b f(x)*cos(\u03c9x)dx \u307e\u305f\u306f \u222b f(x)*cos(\u03c9x)dx [a, b] \u3092\u6c42\u3081\u308b.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\u203b\u305d\u308c\u305e\u308c\u306e\u30ea\u30d0\u30fc\u30b9\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u7248\u3082\u4f7f\u7528\u53ef\u80fd(\u30eb\u30fc\u30c1\u30f3\u540d\u306b&#8221;_r&#8221;\u306e\u30b5\u30d5\u30a3\u30c3\u30af\u30b9\u304c\u4ed8\u304f)<\/p>\n<h3>XLPack\u306b\u53ce\u9332\u3055\u308c\u3066\u3044\u308b\u30eb\u30fc\u30c1\u30f3 (\u534a\u7121\u9650\u533a\u9593\uff0f\u7121\u9650\u533a\u9593: [a, +\u221e]\uff0f[-\u221e, +\u221e])<\/h3>\n<div class=\"su-table su-table-responsive su-table-alternate\">\n<table>\n<tbody>\n<tr>\n<th>\u30eb\u30fc\u30c1\u30f3\u540d<\/th>\n<th>\u7a4d\u5206\u516c\u5f0f<\/th>\n<th>\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206<\/th>\n<th>\u81ea\u52d5\u7a4d\u5206<\/th>\n<th>\u534a\u7121\u9650\u533a\u9593<\/th>\n<th>\u7121\u9650\u533a\u9593<\/th>\n<th>\u7279\u8a18\u4e8b\u9805<\/th>\n<\/tr>\n<tr>\n<td>Qk15i<\/td>\n<td>15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td><\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td>\u3007<\/td>\n<td>\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u306e\u30b5\u30dd\u30fc\u30c8\u30eb\u30fc\u30c1\u30f3\u3067\u3042\u308b\u304c, \u5358\u4f53\u3067\u4f7f\u7528\u3057\u3066\u3082\u5341\u5206\u306a\u7cbe\u5ea6\u304c\u3042\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Qagi<\/td>\n<td>15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Qawf<\/td>\n<td>25\u70b9\u30af\u30ec\u30f3\u30b7\u30e7\u30a6\u30fb\u30ab\u30fc\u30c1\u30b9\u516c\u5f0f\uff0f15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u30d5\u30fc\u30ea\u30a8\u578b\u7a4d\u5206 \u222b f(x)*cos(\u03c9x)dx \u307e\u305f\u306f \u222b f(x)*cos(\u03c9x)dx [a, +\u221e] \u3092\u6c42\u3081\u308b.<\/td>\n<\/tr>\n<tr>\n<td>Dehint<\/td>\n<td>\u4e8c\u91cd\u6307\u6570\u95a2\u6570(DE)\u516c\u5f0f<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Deiint<\/td>\n<td>\u4e8c\u91cd\u6307\u6570\u95a2\u6570(DE)\u516c\u5f0f<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Deoint<\/td>\n<td>\u4e8c\u91cd\u6307\u6570\u95a2\u6570(DE)\u516c\u5f0f<\/td>\n<td><\/td>\n<td>\u3007<\/td>\n<td>\u3007<\/td>\n<td><\/td>\n<td>\u30d5\u30fc\u30ea\u30a8\u578b\u7a4d\u5206 \u222b f(x)*cos(\u03c9x)dx \u307e\u305f\u306f \u222b f(x)*cos(\u03c9x)dx [a, +\u221e] \u3092\u6c42\u3081\u308b.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\u203b\u305d\u308c\u305e\u308c\u306e\u30ea\u30d0\u30fc\u30b9\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u7248\u3082\u4f7f\u7528\u53ef\u80fd(\u30eb\u30fc\u30c1\u30f3\u540d\u306b&#8221;_r&#8221;\u306e\u30b5\u30d5\u30a3\u30c3\u30af\u30b9\u304c\u4ed8\u304f)<br \/>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"\u6709\u9650\u533a\u9593\u7a4d\u5206\">\n<h2>\u6709\u9650\u533a\u9593\u7a4d\u5206<\/h2>\n<p>\u305d\u308c\u305e\u308c\u306e\u4f8b\u984c\u306b\u304a\u3044\u3066, \u7a2e\u3005\u306e\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u3067\u8a08\u7b97\u3057\u305f\u3068\u304d\u306e\u88ab\u7a4d\u5206\u95a2\u6570\u8a55\u4fa1\u56de\u6570\u3092\u6a2a\u8ef8\u306b, \u305d\u306e\u6642\u306e\u76f8\u5bfe\u8aa4\u5dee\u3092\u7e26\u8ef8\u306b\u5bfe\u6570\u30d7\u30ed\u30c3\u30c8\u3059\u308b.<br \/>\n\u3053\u3053\u3067\u6bd4\u8f03\u3059\u308b\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306f(\u9069\u5fdc)\u81ea\u52d5\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u306a\u306e\u3067, \u8981\u6c42\u7cbe\u5ea6\u3092\u9069\u5f53\u306b\u5909\u5316\u3055\u305b\u3066\u8a08\u7b97\u3092\u884c\u3044, \u305d\u306e\u3068\u304d\u306e\u5b9f\u969b\u306e\u95a2\u6570\u8a55\u4fa1\u56de\u6570\u3068\u76f8\u5bfe\u8aa4\u5dee\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u305f.<\/p>\n<p>\u5168\u4f53\u7684\u306b\u306f\u6c4e\u7528\u306e Qag \u304c\u3088\u3044\u6210\u7e3e\u3092\u793a\u3057\u305f. Key = 1 (15\u70b9\u516c\u5f0f), 3 (31\u70b9\u516c\u5f0f), 6 (61\u70b9\u516c\u5f0f) \u3068\u5909\u3048\u3066\u6bd4\u8f03\u3057\u305f\u304c, \u3069\u308c\u304c\u3088\u3044\u304b\u306f\u88ab\u7a4d\u5206\u95a2\u6570\u306b\u3088\u3063\u3066\u7570\u306a\u3063\u305f. \u7aef\u70b9\u306b\u7279\u7570\u70b9\u304c\u3042\u308b\u5834\u5408\u306b\u306f Defin \u304c\u6709\u52b9\u306a\u53ef\u80fd\u6027\u304c\u9ad8\u3044. Qawo, Qagp, Qaws \u306a\u3069\u306e\u7279\u5b9a\u306e\u95a2\u6570\u5411\u3051\u306e\u30eb\u30fc\u30c1\u30f3\u306f, \u305d\u308c\u304c\u4f7f\u3048\u308b\u95a2\u6570\u3067\u3042\u308c\u3070\u4f7f\u3063\u305f\u65b9\u304c\u3088\u3055\u305d\u3046\u3067\u3042\u308b. \u306a\u3081\u3089\u304b\u306a\u95a2\u6570\u3067\u3042\u308c\u3070, \u666e\u901a\u306e\u30ac\u30a6\u30b9\u516c\u5f0f\u3084 Qng, Qk15\u7b49\u306e\u533a\u9593\u5206\u5272\u3092\u884c\u308f\u306a\u3044\u30eb\u30fc\u30c1\u30f3\u304c\u3088\u3044\u3053\u3068\u3082\u3042\u308b\u304c, \u3053\u308c\u3089\u306f\u5168\u304f\u3060\u3081\u306a\u3053\u3068\u3082\u3042\u308b\u306e\u3067\u691c\u7b97\u3057\u306a\u304c\u3089\u4f7f\u3063\u305f\u65b9\u304c\u3088\u3055\u305d\u3046\u3067\u3042\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (0)<\/h3>\n<p>\u306f\u3058\u3081\u306b\u6bd4\u8f03\u7684\u89e3\u304d\u3084\u3059\u3044\u554f\u984c\u3092\u4f7f\u3063\u3066\u6709\u9650\u533a\u9593\u7a4d\u5206\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u50be\u5411\u3092\u898b\u3066\u304a\u304f. \u4f8b\u984c\u306f\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u306e\u8aac\u660e\u306b\u4f7f\u7528\u3057\u305f\u6b21\u306e\u95a2\u6570\u3067\u3042\u308b.<\/p>\n<pre>  \r\n  f(x) = 1\/((x - 0.3)<sup>2<\/sup> + 0.01) + 1\/((x - 0.9)<sup>2<\/sup> + 0.04) - 6\r\n\r\n<\/pre>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_0_0.png\" alt=\"\" width=\"463\" height=\"337\" class=\"aligncenter size-full wp-image-3159\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_0_0.png 463w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_0_0-300x218.png 300w\" sizes=\"auto, (max-width: 463px) 100vw, 463px\" \/><\/p>\n<p>\u3053\u308c\u3092 Qng, Qag (Key = 1, 3, 6), Nc8, Defin \u3067\u8a08\u7b97\u3057\u305f\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_0.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-3163\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_0.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_0-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u3053\u3053\u3067, Nc8 \u306f8\u6b21\u306e\u30cb\u30e5\u30fc\u30c8\u30f3\u30fb\u30b3\u30fc\u30c4\u516c\u5f0f\u3092\u4f7f\u3063\u305f\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u3067\u3042\u308b(\u8a73\u7d30\u306f\u6587\u732e[2]\u3092\u53c2\u7167). \u30cb\u30e5\u30fc\u30c8\u30f3\u30fb\u30b3\u30fc\u30c4\u516c\u5f0f\u306f\u5206\u70b9\u3092\u7b49\u9593\u9694\u306b\u53d6\u308c\u308b\u305f\u3081\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u3092\u4f5c\u308b\u306e\u306b\u5411\u3044\u3066\u304a\u308a, \u4ee5\u524d\u306f\u3088\u304f\u4f7f\u308f\u308c\u305f. Nc8 \u306fXLPack\u306b\u306f\u542b\u307e\u308c\u3066\u3044\u306a\u3044\u304c, \u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f\u4ee5\u5916\u306e\u9069\u5fdc\u81ea\u52d5\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u3068\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306b\u8868\u793a\u3057\u305f. \u307e\u305f, \u540c\u3058\u304f\u6bd4\u8f03\u306e\u305f\u3081\u306b31\u6b21\u307e\u3067\u306e\u30ac\u30a6\u30b9\u516c\u5f0f\u5358\u4f53\u306e\u7d50\u679c\u3082\u8868\u793a\u3057\u305f.<\/p>\n<p>\u30ac\u30a6\u30b9\u516c\u5f0f\u3068Qng\u306e\u7d50\u679c\u304b\u3089, \u3053\u306e\u554f\u984c\u306f80\u6b21\u7a0b\u5ea6\u306e\u30ac\u30a6\u30b9\u516c\u5f0f\u5358\u4f53\u3092\u4f7f\u3048\u3070\u6700\u9ad8\u7cbe\u5ea6\u3067\u8a08\u7b97\u3067\u304d\u305d\u3046\u3067\u3042\u308b. \u4ed6\u306e\u81ea\u52d5\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u306e\u7d50\u679c\u306f\u6ed1\u3089\u304b\u306a\u95a2\u6570\u306b\u5bfe\u3059\u308b\u305d\u306e\u57fa\u672c\u7684\u306a\u6027\u80fd\u306e\u50be\u5411\u3092\u8868\u3057\u3066\u3044\u308b\u3082\u306e\u3068\u601d\u308f\u308c\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (1)<\/h3>\n<p>\u6570\u5024\u5b9f\u9a13(1)\u4ee5\u4e0b\u3067\u306f, \u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u6bd4\u8f03\u306a\u306e\u3067\u6bd4\u8f03\u7684\u89e3\u304d\u306b\u304f\u3044\u4f8b\u984c\u306e\u307f\u3092\u6271\u3046. \u305d\u308c\u305e\u308c\u306e\u4f8b\u984c\u306e\u8a73\u7d30\u306f\u6587\u732e[1]\u3092\u53c2\u7167\u306e\u3053\u3068.<\/p>\n<p>\u6b21\u306e\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222bx<sup>c<\/sup>log(1\/x)dx [0, 1] = (c + 1)<sup>-2<\/sup>\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u7aef\u70b9 (x = 0) \u306b\u7279\u7570\u70b9\u304c\u3042\u308b.<\/p>\n<p>c = 2.6 \u306e\u3068\u304d\u306e\u95a2\u6570\u306e\u5f62\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2882\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p>\u3053\u308c\u3092 Qng, Qag (Key = 1, 3, 6), Qags, Defin \u3067\u8a08\u7b97\u3057\u305f\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2916\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u6bd4\u8f03\u306e\u305f\u3081\u306b\u901a\u5e38\u306e(\u81ea\u52d5\u7a4d\u5206\u3067\u306a\u3044)\u30ac\u30a6\u30b9\u516c\u5f0f(N = 2\uff5e31)\u306e\u7d50\u679c\u3082\u793a\u3057\u305f. \u3053\u306e\u95a2\u6570\u306f\u5c0f\u533a\u9593\u306b\u5206\u5272\u3057\u306a\u304f\u3066\u3082\u9ad8\u7cbe\u5ea6\u306e\u30ac\u30a6\u30b9\u516c\u5f0f\u3067\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u3067\u3042\u308b. \u7aef\u70b9\u306b\u7279\u7570\u70b9\u304c\u3042\u308b\u306e\u3067, Defin \u304c\u4ed6\u306e\u516c\u5f0f\u3088\u308a\u3082\u901f\u3044.<\/p>\n<p>\u540c\u3058\u95a2\u6570\u3067 c = 0 \u3068\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_2_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2884\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_2_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_2_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_2.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2917\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_2.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_1_2-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u3053\u306e\u5834\u5408\u306f\u9006\u306b\u5c0f\u533a\u9593\u306b\u5206\u5272\u3057\u306a\u3044\u3068\u3046\u307e\u304f\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3088\u3046\u3067\u3042\u308b. Qag \u3082 Key = 1 (15\u5206\u70b9)\u306e\u5834\u5408\u304c\u901f\u3044. Defin \u306f\u308f\u3059\u304b51\u56de\u306e\u95a2\u6570\u8a08\u7b97\u3067 10<sup>-16<\/sup> \u306e\u30aa\u30fc\u30c0\u30fc\u306e\u7cbe\u5ea6\u306b\u9054\u3057\u305f.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (2)<\/h3>\n<p>\u6b21\u306e\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b4<sup>-c<\/sup>\/((x - \u03c0\/4)<sup>2<\/sup> + 16<sup>-c<\/sup>)dx [0, 1] = arctan((4 - \u03c0)4<sup>c-1<\/sup> + arctan(\u03c04<sup>c-1<\/sup>)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\nc = 1 \u306e\u3068\u304d\u306e\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2886\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2885\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u3053\u308c\u3082\u5c0f\u533a\u9593\u306b\u5206\u5272\u3057\u306a\u304f\u3066\u3082\u9ad8\u7cbe\u5ea6\u306e\u30ac\u30a6\u30b9\u516c\u5f0f\u3067\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u3067, Qng \u306f43\u5206\u70b9\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066 10<sup>-16<\/sup> \u306e\u30aa\u30fc\u30c0\u30fc\u306e\u7cbe\u5ea6\u3067\u89e3\u3092\u6c42\u3081\u305f.<\/p>\n<p>C = 15 \u3068\u3059\u308b\u3068\u30d4\u30fc\u30af(x = \u03c0\/4)\u304c\u5c16\u3063\u3066\u304f\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_2_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2888\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_2_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_2_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_2.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2887\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_2.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_2_2-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u3053\u3046\u306a\u308b\u3068\u5c0f\u533a\u9593\u306b\u5206\u5272\u3059\u308b\u30eb\u30fc\u30c1\u30f3\u3067\u306a\u3044\u3068\u8a08\u7b97\u3067\u304d\u306a\u304f\u306a\u3063\u305f. Qag \u4ee5\u5916\u3067\u306f\u89e3\u304c\u6c42\u3081\u3089\u308c\u306a\u304b\u3063\u305f.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (3)<\/h3>\n<p>\u6b21\u306e\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b|x - 1\/3|<sup>c<\/sup>dx [0, 1] = ((2\/3)<sup>c+1<\/sup> + (1\/3)<sup>c+1<\/sup>)\/(c + 1)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u533a\u9593\u5185(c = 1\/3)\u306b\u7279\u7570\u70b9\u304c\u3042\u308b.<\/p>\n<p>c = 0.5 \u306e\u3068\u304d\u306e\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2890\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2889\"><\/p>\n<p>Qag \u3067\u3082\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304c, \u3053\u3046\u3044\u3046\u5834\u5408\u306b\u306f Qagp \u3067\u7279\u7570\u70b9\u3092\u6307\u5b9a\u3057\u3066\u3084\u308b\u306e\u304c\u6709\u52b9\u3067\u3042\u308b. Defin \u306f\u533a\u9593\u5185\u306b\u7279\u7570\u70b9\u304c\u3042\u308b\u5834\u5408\u306b\u306f\u52b9\u679c\u7684\u3067\u306f\u306a\u3044.<\/p>\n<p>c = 2.5 \u3068\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_2_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2892\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_2_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_2_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_2.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2921\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_2.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_7_2-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u7279\u7570\u70b9\u306e\u3068\u3053\u308d\u3067\u306a\u3081\u3089\u304b\u306bx\u8ef8\u306b\u63a5\u3059\u308b\u3088\u3046\u306a\u5f62\u306b\u306a\u3063\u3066\u3044\u308b\u305f\u3081\u304b\u3069\u306e\u516c\u5f0f\u3067\u3082\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u305f. \u305f\u3060\u3057, Qagp \u306f\u3042\u3044\u304b\u308f\u3089\u305a\u6709\u52b9\u306a\u3088\u3046\u3067\u3042\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (4)<\/h3>\n<p>\u6b21\u306e\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222bsin(x)^(c-1)dx [0, \u03c0\/2] = \u222bx<sup>c-1<\/sup>(sin(x)\/x)^(c-1)dx [0, \u03c0\/2] = 2<sup>c-2<\/sup>(\u0393(c\/2)<sup>2<\/sup>)\/\u0393(c)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u7aef\u70b9 (x = 0) \u306b\u7279\u7570\u70b9\u304c\u3042\u308b.<\/p>\n<p>c = 1.5 \u306e\u3068\u304d\u306e\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_10_0.png\" alt=\"\" width=\"502\" height=\"324\" class=\"aligncenter size-full wp-image-2894\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_10_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_10_0-300x194.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_10.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2944\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_10.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_10-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u88ab\u7a4d\u5206\u95a2\u6570\u3092\u5909\u5f62\u3057\u3066\u4e0a\u306e2\u756a\u76ee\u306e\u5f62\u3067 Qaws \u3092\u9069\u7528\u3059\u308b\u3068\u52b9\u679c\u7684\u3067\u3042\u3063\u305f. \u306a\u304a, \u7aef\u70b9\u306b\u7279\u7570\u70b9\u304c\u3042\u308b\u305f\u3081 Defin \u304c\u975e\u5e38\u306b\u52b9\u679c\u7684\u3067\u3042\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (5)<\/h3>\n<p>\u6b21\u306e\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222bexp(20(x - 1))sin((2<sup>c<\/sup>)x)dx [0, 1] = (20sin(2<sup>c<\/sup>) - 2<sup>c<\/sup>cos(2<sup>c<\/sup>) + 2<sup>c<\/sup>exp(-20))\/(400 + 4<sup>c<\/sup>)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u632f\u52d5\u578b\u7a4d\u5206\u3067\u3042\u308b.<\/p>\n<p>c = 6 \u306e\u3068\u304d\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2896\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12-1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2933\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12-1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12-1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u306f Qawo \u3092\u4f7f\u3063\u3066sin()\u306e\u9805\u3092\u5206\u96e2\u3059\u308b\u3068\u3088\u3044. \u3053\u306e\u5834\u5408\u306f\u666e\u901a\u306e(\u5c0f\u533a\u9593\u306b\u5206\u5272\u3057\u306a\u3044)\u30ac\u30a6\u30b9\u516c\u5f0f\u3067\u3082\u5341\u5206\u8a08\u7b97\u3067\u304d\u3066\u3044\u308b. Qag (Key = 6) \u30821\u56de\u3067\u8a08\u7b97\u304c\u7d42\u4e86\u3057\u3066\u3044\u308b.<\/p>\n<p>c = 8 \u3068\u3059\u308b\u3068\u69d8\u5b50\u304c\u5168\u304f\u7570\u306a\u308a\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_2_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2898\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_2_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_2_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_2-1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2932\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_2-1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_12_2-1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u4eca\u5ea6\u306f\u666e\u901a\u306e\u30ac\u30a6\u30b9\u516c\u5f0f\u3067\u306f\u3046\u307e\u304f\u3044\u304b\u306a\u3044. \u3057\u304b\u3057, Qag (Key = 6) \u306f\u3088\u3044\u6210\u7e3e\u3092\u793a\u3057\u3066\u3044\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (6)<\/h3>\n<p>\u6b21\u306e\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b(x(1 - x))<sup>-1\/2<\/sup>cos((2^c)x)dx [0, 1] = \u03c0 cos(2<sup>c-1<\/sup>)J<sub>0<\/sub>(2<sup>c-1<\/sup>)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u3053\u308c\u3082\u632f\u52d5\u578b\u7a4d\u5206\u3067\u3042\u308b\u304c\u7aef\u70b9\u306b\u7279\u7570\u70b9\u304c\u3042\u308b. c = 8 \u306e\u3068\u304d\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2900\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2947\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>Qawo \u4ee5\u5916\u3067\u306f 10<sup>-7<\/sup> \u304f\u3089\u3044\u306e\u7cbe\u5ea6\u307e\u3067\u3057\u304b\u6c42\u3081\u3089\u308c\u306a\u304b\u3063\u305f.<\/p>\n<p>c = 1 \u3068\u3057\u305f\u3068\u304d\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_2_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2902\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_2_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_2_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_2.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2946\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_2.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_13_2-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u72b6\u6cc1\u306f\u4f3c\u3066\u3044\u308b. Defin \u306f\u901f\u3044\u304c 10<sup>-8<\/sup> \u4ed8\u8fd1\u3067\u7cbe\u5ea6\u304c\u982d\u6253\u3061\u306b\u306a\u3063\u305f. Qag \u3082\u540c\u69d8\u3067\u3042\u308b. \u3053\u306e\u7a4d\u5206\u306f cos() \u306e\u9805\u3092\u5206\u96e2\u3057\u3066\u3084\u3089\u306a\u3051\u308c\u3070\u7cbe\u5ea6\u304c\u51fa\u306a\u3044\u306e\u304b\u3082\u3057\u308c\u306a\u3044.<\/p>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"\u7121\u9650\u30fb\u534a\u7121\u9650\u533a\u9593\u7a4d\u5206\">\n<h2>\u7121\u9650\u30fb\u534a\u7121\u9650\u533a\u9593\u7a4d\u5206<\/h2>\n<p>\u305d\u308c\u305e\u308c\u306e\u4f8b\u984c\u306b\u304a\u3044\u3066, \u7a2e\u3005\u306e\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u3067\u8a08\u7b97\u3057\u305f\u3068\u304d\u306e\u88ab\u7a4d\u5206\u95a2\u6570\u8a55\u4fa1\u56de\u6570\u3092\u6a2a\u8ef8\u306b, \u305d\u306e\u6642\u306e\u76f8\u5bfe\u8aa4\u5dee\u3092\u7e26\u8ef8\u306b\u5bfe\u6570\u30d7\u30ed\u30c3\u30c8\u3059\u308b.<br \/>\n\u3053\u3053\u3067\u6bd4\u8f03\u3059\u308b\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306f(\u9069\u5fdc)\u81ea\u52d5\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u306a\u306e\u3067, \u8981\u6c42\u7cbe\u5ea6\u3092\u9069\u5f53\u306b\u5909\u5316\u3055\u305b\u3066\u8a08\u7b97\u3092\u884c\u3044, \u305d\u306e\u3068\u304d\u306e\u5b9f\u969b\u306e\u95a2\u6570\u8a55\u4fa1\u56de\u6570\u3068\u76f8\u5bfe\u8aa4\u5dee\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u305f.<\/p>\n<p>Qagi \u306f, \u534a\u7121\u9650\u7a4d\u5206\u3092\u6709\u9650\u533a\u9593[0, 1]\u306e\u7a4d\u5206\u306b\u5909\u6570\u5909\u63db\u3057\u305d\u308c\u306b15\u70b9\u30ac\u30a6\u30b9\u30fb\u30af\u30ed\u30f3\u30ed\u30c3\u30c9\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u5fc5\u8981\u306a\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b f(x)dx [a, +\u221e] = \u222b f(a + (1 - t)\/t) \/ t^2 dt [0, 1]\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u307e\u305f, Qagi \u306f\u7121\u9650\u533a\u9593\u306e\u7a4d\u5206\u306b\u3082\u9069\u7528\u3067\u304d\u308b\u304c, \u7121\u9650\u7a4d\u5206\u306f2\u3064\u306e\u534a\u7121\u9650\u7a4d\u5206\u306e\u548c\u3068\u3057\u3066\u8a08\u7b97\u3059\u308b.<\/p>\n<pre>  \r\n  \u222b f(x)dx [-\u221e, +\u221e] = \u222b (f(x) + f(-x)) dx [0, +\u221e]\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u3053\u308c\u306b\u5bfe\u3057\u3066DE\u516c\u5f0f\u3092\u4f7f\u3046 Dehint \u3068 Deiint \u306f\u672c\u6587\u3067\u8aac\u660e\u3057\u305f\u5909\u63db\u95a2\u6570\u3092\u4f7f\u3046(\u534a)\u7121\u9650\u533a\u9593\u5c02\u7528\u306e\u30eb\u30fc\u30c1\u30f3\u3067\u3042\u308b.<\/p>\n<p>\u30d5\u30fc\u30ea\u30a8\u7a4d\u5206\u7528\u306e Qawf \u306f, \u7a4d\u5206\u533a\u9593\u3092\u5c0f\u533a\u9593\u306b\u5206\u5272\u3057\u305d\u308c\u3092\u9806\u6b21 Qawo \u3067\u7a4d\u5206\u3059\u308b. \u53ce\u675f\u3092\u901f\u304f\u3059\u308b\u305f\u3081\u306b\u52a0\u901f\u6cd5\u3092\u4f7f\u3046. Deoint \u306f\u672c\u6587\u3067\u8aac\u660e\u3057\u305f\u5909\u63db\u95a2\u6570\u306eDE\u516c\u5f0f\u3092\u4f7f\u3046\u30d5\u30fc\u30ea\u30a8\u7a4d\u5206\u7528\u306e\u30eb\u30fc\u30c1\u30f3\u3067\u3042\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (1)<\/h3>\n<p>\u6b21\u306e\u534a\u7121\u9650\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b exp(-x)\/x dx [a, +\u221e] = E1(a)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\nE1(a) \u306f\u7279\u6b8a\u95a2\u6570\u3068\u3057\u3066\u3088\u304f\u51fa\u3066\u304f\u308b\u6307\u6570\u7a4d\u5206\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_E1_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2954\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_E1_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_E1_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_E1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2953\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_E1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_E1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u6bd4\u8f03\u306e\u305f\u3081\u306b\u30ac\u30a6\u30b9\u30fb\u30e9\u30b2\u30fc\u30eb\u516c\u5f0f(2\uff5e31\u70b9)\u306e\u7d50\u679c\u3082\u793a\u3057\u305f. Dehint \u306f 10<sup>-10<\/sup> \u306e\u7cbe\u5ea6\u3067\u982d\u6253\u3061\u306b\u306a\u3063\u305f. Qagi \u306f\u8a08\u7b97\u91cf\u306f\u591a\u3044\u304c 10<sup>-16<\/sup> \u306e\u7cbe\u5ea6\u3067\u8a08\u7b97\u3067\u304d\u305f.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (2)<\/h3>\n<p>\u6b21\u306e\u7121\u9650\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b x<sup>4<\/sup>exp(-x<sup>2<\/sup>) dx [-\u221e, +\u221e] = 3\/4 \u221a\u03c0\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u30ac\u30a6\u30b9\u7a4d\u5206\u3068\u547c\u3070\u308c\u308b\u7a4d\u5206\u306b x<sup>4<\/sup> \u3092\u542b\u3080\u7a4d\u5206\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_Ga_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2952\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_Ga_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_Ga_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_Ga.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2951\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_Ga.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_Ga-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u6bd4\u8f03\u306e\u305f\u3081\u306b\u30ac\u30a6\u30b9\u30fb\u30a8\u30eb\u30df\u30fc\u30c8\u516c\u5f0f(2\uff5e31\u70b9)\u306e\u7d50\u679c\u3082\u793a\u3057\u305f. \u3053\u306e\u7a4d\u5206\u306f\u6307\u6570\u306e\u9805\u3092\u9664\u304f\u30684\u6b21\u306e\u591a\u9805\u5f0f\u306a\u306e\u30673\u6b21\u4ee5\u4e0a\u306e\u30ac\u30a6\u30b9\u30fb\u30a8\u30eb\u30df\u30fc\u30c8\u516c\u5f0f\u306f(\u4e38\u3081\u8aa4\u5dee\u3092\u9664\u3044\u3066)\u6b63\u3057\u3044\u5024\u3092\u4e0e\u3048\u308b. \u305d\u306e\u305f\u3081\u56f3\u306e\u3088\u3046\u306b1\u70b9\u3092\u9664\u3044\u3066 10<sup>-15<\/sup> \u306e\u7cbe\u5ea6\u4ed8\u8fd1\u306b\u30d7\u30ed\u30c3\u30c8\u3055\u308c\u3066\u3044\u308b. Qagi \u306f\u534a\u5206\u3065\u3064\u306b\u5206\u3051\u3066\u8a08\u7b97\u3059\u308b\u306e\u3067, \u624b\u9593\u306f\u304a\u304a\u3080\u306d2\u500d\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u601d\u308f\u308c\u305d\u306e\u5206\u8a08\u7b97\u91cf\u7684\u306b\u306f\u4e0d\u5229\u3067\u3042\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (3)<\/h3>\n<p>\u6b21\u306e\u534a\u7121\u9650\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b x<sup>2<\/sup>exp(-2<sup>-c<\/sup>x) dx [0, +\u221e] = 2<sup>3c+1<\/sup>\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u975e\u5e38\u306b\u65e9\u304f0\u306b\u53ce\u308c\u3093\u3059\u308b\u95a2\u6570\u3067\u6709\u9650\u533a\u9593\u7528\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u3067\u3082\u8a08\u7b97\u3067\u304d\u308b. c = 3 \u3068\u3057\u305f\u3068\u304d\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_15_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2906\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_15_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_15_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_15-1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2929\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_15-1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_15-1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u30ac\u30a6\u30b9\u516c\u5f0f\u306f\u7a4d\u5206\u533a\u9593\u3092[0, 300]\u3068\u3057\u305f. \u305d\u308c\u3067\u3082 10<sup>-13<\/sup> \u4ee5\u4e0a\u306e\u7cbe\u5ea6\u3067\u8a08\u7b97\u3067\u304d\u305f.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (4)<\/h3>\n<p>\u6b21\u306e\u534a\u7121\u9650\u7a4d\u5206\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b x<sup>c-1<\/sup>\/(1 + 10x)<sup>2<\/sup> dx [0, +\u221e] = 10<sup>-c<\/sup>(1 - c)\u03c0\/sin(\u03c0c)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u3086\u3063\u304f\u308a\u30680\u306b\u53ce\u308c\u3093\u3059\u308b\u95a2\u6570\u3067, \u3053\u3046\u306a\u308b\u3068\u6709\u9650\u533a\u9593\u7528\u7a4d\u5206\u30eb\u30fc\u30c1\u30f3\u3067\u306f\u8a08\u7b97\u3067\u304d\u306a\u3044. c = 1.5 \u3068\u3057\u305f\u3068\u304d\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_16_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2908\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_16_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_16_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_16-1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2928\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_16-1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_16-1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u7aef\u70b9(x = 0)\u304c\u7279\u7570\u70b9\u306a\u306e\u3067\u6709\u9650\u533a\u9593\u306e\u5834\u5408\u3068\u540c\u3058\u3088\u3046\u306bDE\u516c\u5f0f\u306e Dehint \u304c\u6709\u52b9\u3067\u3042\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (5)<\/h3>\n<p>\u6b21\u306e\u534a\u7121\u9650\u7a4d\u5206(\u30d5\u30fc\u30ea\u30a8\u7a4d\u5206)\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b x<sup>-1\/2<\/sup>exp(-2<sup>-c<\/sup>x)cos(x) dx [0, +\u221e] = \u221a\u03c0\u3000(1 + 4<sup>-c<\/sup>)<sup>-1\/4<\/sup>cos(arctan(2<sup>c<\/sup>)\/2)\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u6bd4\u8f03\u7684\u901f\u304f\u30bc\u30ed\u306b\u8fd1\u3065\u3044\u3066\u3044\u304f\u95a2\u6570\u3067\u3042\u308b. c = 2 \u306e\u6642\u306e\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_14_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2960\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_14_0.png 502w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_14_0-300x182.png 300w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_14.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2903\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_14.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_14-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>Deoint \u3067\u306f2\u7a2e\u985e\u306e\u5909\u63db\u95a2\u6570\u3092\u4f7f\u3046\u3053\u3068\u304c\u3067\u304d\u308b. \u6570\u5024\u7a4d\u5206(2)\u3067\u8aac\u660e\u3057\u305f\u6587\u732e[7]\u306e\u95a2\u6570\u3092 Deoint, \u6587\u732e[6]\u306e\u95a2\u6570\u3092 Deoint2 \u3068\u8868\u793a\u3057\u305f. \u5f8c\u304b\u3089\u63d0\u6848\u3055\u308c\u305f Deoint \u306e\u65b9\u304c\u5c11\u3057\u901f\u3044\u3053\u3068\u304c\u308f\u304b\u308b.<\/p>\n<h3>\u6570\u5024\u5b9f\u9a13 (6)<\/h3>\n<p>\u6b21\u306e\u534a\u7121\u9650\u7a4d\u5206(\u30d5\u30fc\u30ea\u30a8\u7a4d\u5206)\u3092\u6c42\u3081\u308b.<\/p>\n<pre>  \r\n  \u222b log(x)sin(x) dx [0, +\u221e] = -\u03b3\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u632f\u5e45\u304c\u5f90\u3005\u306b\u5927\u304d\u304f\u306a\u308b\u95a2\u6570\u3067\u3042\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_O1_0.png\" alt=\"\" width=\"502\" height=\"305\" class=\"aligncenter size-full wp-image-2958\"><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_O1.png\" alt=\"\" width=\"605\" height=\"416\" class=\"aligncenter size-full wp-image-2949\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_O1.png 605w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2020\/07\/quad_ex_test_O1-300x206.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>\u3053\u306e\u7a4d\u5206\u306f Qawf \u3067\u306f\u30a8\u30e9\u30fc\u306b\u306a\u308a\u8a08\u7b97\u3067\u304d\u306a\u304b\u3063\u305f.<\/p>\n<\/div><\/div><\/div>\n<hr>\n<h4>\u53c2\u8003\u6587\u732e<\/h4>\n[1] Piessens, de Doncker-Kapenga, \u00dcberhuber, Kahaner: &#8220;QUADPACK: A subroutine package for automatic integration&#8221;, Springer-Verlag. (1983)<br \/>\n[2] \u68ee\u6b63\u6b66\u300cFORTRAN77\u6570\u5024\u8a08\u7b97\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0(\u5897\u88dc\u7248)\u300d\u5ca9\u6ce2\u66f8\u5e97 (1987)<br \/>\n[3] \u68ee\u6b63\u6b66\u300c\u6570\u5024\u89e3\u6790 (\u7b2c2\u7248)\u300d(2002) \u5171\u7acb\u51fa\u7248<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b21 \u6570\u5024\u7a4d\u5206 (1): \u6982\u8981, \u88dc\u9593\u578b\u7a4d\u5206\u516c\u5f0f, \u30ed\u30f3\u30d0\u30fc\u30b0\u7a4d\u5206, \u6570\u5024\u5b9f\u9a13, \u7a4d\u5206\u516c\u5f0f\u306e\u4fc2\u6570\u8868 \u6570\u5024\u7a4d\u5206 (2): \u53f0\u5f62\u5247\u306e\u8aa4\u5dee, \u5909\u6570\u5909\u63db\u578b\u7a4d\u5206\u516c\u5f0f, \u8aa4\u5dee\u306e\u63a8\u5b9a, \u81ea\u52d5\u7a4d\u5206, \u7a4d\u5206\u516c\u5f0f\u306e\u4fc2\u6570\u8868 \u6570\u5024\u7a4d\u5206 (3): [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[13],"tags":[],"class_list":["post-3023","post","type-post","status-publish","format-standard","hentry","category-num"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u6570\u5024\u7a4d\u5206\u306e\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u9078\u629e\u306e\u30d2\u30f3\u30c8, \u6709\u9650\u533a\u9593\u304a\u3088\u3073\u7121\u9650\uff0f\u534a\u7121\u9650\u533a\u9593\u306e\u7a4d\u5206\u306e\u4f8b\u984c\u3064\u3044\u3066\u6027\u80fd\u6bd4\u8f03\u7d50\u679c\u3092\u793a\u3059.\" \/>\n\t<meta name=\"robots\" content=\"max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n\t<meta name=\"author\" content=\"Administrator\"\/>\n\t<meta name=\"google-site-verification\" content=\"5PEQMQVhF0wv5i-xMYW9a3HzuBwixzVduoR2arr5UDM\" \/>\n\t<meta name=\"msvalidate.01\" content=\"EEB9704E04960338720AEA89E77E749F\" \/>\n\t<meta name=\"keywords\" content=\"\u6570\u5024\u7a4d\u5206,\u30ac\u30a6\u30b9,\u30af\u30ed\u30f3\u30ed\u30c3\u30c9,\u30af\u30ec\u30f3\u30b7\u30e7\u30a6,\u30ab\u30fc\u30c1\u30b9,\u7a4d\u5206\u516c\u5f0f,\u7121\u9650\u7a4d\u5206,\u4e8c\u91cd\u6307\u6570\u95a2\u6570,de\u516c\u5f0f,qag,qk15,qagi,qk15i\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/www.ktech.biz\/jp\/num\/9-quad-3\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#article\",\"name\":\"9. 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\\u5b9f\\u7528\\u30eb\\u30fc\\u30c1\\u30f3\\u306e\\u30d9\\u30f3\\u30c1\\u30de\\u30fc\\u30af\",\"author\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/author\\\/wadmin\\\/#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/#organization\"},\"image\":{\"@type\":\"ImageObject\",\"url\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2020\\\/07\\\/quad_ex_test_0_0.png\",\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#articleImage\",\"width\":463,\"height\":337},\"datePublished\":\"2020-07-24T20:38:33+09:00\",\"dateModified\":\"2020-08-22T18:02:53+09:00\",\"inLanguage\":\"ja\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#webpage\"},\"articleSection\":\"XLPack 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\\u30c6\\u30af\\u30ce\\u30ed\\u30b8\\u30fc\",\"description\":\"Excel\\u3067\\u672c\\u683c\\u7684\\u306a\\u6570\\u5024\\u8a08\\u7b97\\u304c\\u3067\\u304d\\u308b\\uff01\",\"url\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/author\\\/wadmin\\\/#author\",\"url\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/author\\\/wadmin\\\/\",\"name\":\"Administrator\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#authorImage\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/ba306ded26254eaa30f5f7d0a9a3a1555a04b1f34069c8d4ebf8c40646da82c4?s=96&d=mm&r=g\",\"width\":96,\"height\":96,\"caption\":\"Administrator\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#webpage\",\"url\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/\",\"name\":\"9. \\u6570\\u5024\\u7a4d\\u5206 (3) 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\\u6709\\u9650\\u533a\\u9593\\u304a\\u3088\\u3073\\u7121\\u9650\\uff0f\\u534a\\u7121\\u9650\\u533a\\u9593\\u306e\\u7a4d\\u5206\\u306e\\u4f8b\\u984c\\u3064\\u3044\\u3066\\u6027\\u80fd\\u6bd4\\u8f03\\u7d50\\u679c\\u3092\\u793a\\u3059.\",\"inLanguage\":\"ja\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/num\\\/9-quad-3\\\/#breadcrumblist\"},\"author\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/author\\\/wadmin\\\/#author\"},\"creator\":{\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/author\\\/wadmin\\\/#author\"},\"datePublished\":\"2020-07-24T20:38:33+09:00\",\"dateModified\":\"2020-08-22T18:02:53+09:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/#website\",\"url\":\"https:\\\/\\\/www.ktech.biz\\\/jp\\\/\",\"name\":\"K 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