{"id":1059,"date":"2008-01-31T18:55:20","date_gmt":"2008-01-31T09:55:20","guid":{"rendered":"http:\/\/na-inet.jp\/new-na-inet\/weblog\/2008\/01\/131_1\/"},"modified":"2008-01-31T18:55:20","modified_gmt":"2008-01-31T09:55:20","slug":"131_1","status":"publish","type":"post","link":"https:\/\/na-inet.jp\/weblog2\/2008\/01\/31\/131_1\/","title":{"rendered":"1\/31(\u6728) \u639b\u5ddd\u30fb\uff1f"},"content":{"rendered":"<p>\u3000\u3061\u3087\u308d\u3063\u3068\u5bd2\u3044\u30fb\u30fb\u30fb\u304b\u306a\uff1f\u3000\u305a\u30fc\u3063\u3068\u5ba4\u5185\u306b\u7c60\u3082\u3063\u3066\u3044\u308b\u306e\u3067\u3088\u30fc\u308f\u304b\u3089\u3093\u3002<br \/>\n\u30001\u6708\u3082\u3082\u3046\u7d42\u308f\u308a\u3002\u3042\u3063\u3068\u3044\u3046\u9593\u306b2\u6708\u306b\u306a\u308a3\u6708\u306b\u306a\u308a4\u6708\u306b\u306a\u308b\u3068\u30c9\u30bf\u30d0\u30bf\u3068\u8b1b\u7fa9\u304c\u59cb\u307e\u3063\u3066\u3042\u3063\u3068\u3044\u3046\u9593\u306b\u590f\u4f11\u307f\u306b\u306a\u308b\u306e\u3067\u3042\u308d\u3046\u3002\u4eca\u5e74\u306f\u51b7\u590f\u3067\u3042\u3063\u3066\u307b\u3057\u3044\u306a\u3041\u3002<br \/>\n\u3000\u4f55\u304b\uff0c<a href=\"http:\/\/na-inet.jp\/weblog\/archives\/000483.html\">\u5c0f\u6797\u85ab\u4f5c\u54c1<\/a>\u3078\u306e\u30a2\u30af\u30bb\u30b9\u304c\u591a\u3044\u306a\uff0c\u3068\u601d\u3063\u305f\u3089\uff0c\u30ea\u30f3\u30af\u3057\u3066\u4e0b\u3055\u3063\u305f\u3068\u3053\u308d\u304c\u3042\u308b\u3088\u3046\u3067\u3042\u308a\u304c\u305f\u3057\u3002\u4eca\u30c9\u30e9\u30de\u5316\u3055\u308c\u3066\u308b\u3093\u3060\u3088\u306a\u301c\uff0c\u305d\u3046\u3044\u3048\u3070\u3002<a href=\"http:\/\/www.aoba.biz\/\">\u5143\u306e\u51fa\u7248\u5143\u306f\u3068\u3063\u304f\u306b\u6f70\u308c\u3066\u3057\u307e\u3063\u3066\u3044\u305f<\/a>\u3088\u3046\u3060\u3002\u4eca\u306f\u3053\u3061\u3089\uff08<a href=\"http:\/\/www.amazon.co.jp\/gp\/product\/4776723387?ie=UTF8&#038;tag=pasnet-22&#038;linkCode=as2&#038;camp=247&#038;creative=1211&#038;creativeASIN=4776723387\">\u4e0a\u5dfb<\/a>\u30fb<a href=\"http:\/\/www.amazon.co.jp\/gp\/product\/4776723840?ie=UTF8&#038;tag=pasnet-22&#038;linkCode=as2&#038;camp=247&#038;creative=1211&#038;creativeASIN=4776723840\">\u4e0b\u5dfb<\/a>\uff09\u3067\u539f\u4f5c\u304c\u8cb7\u3048\u308b\u3002\u3053\u306e\u6a5f\u4f1a\u306b\u662f\u975e\u3068\u3082\u4ff3\u512a\u3067\u306a\u3044\u65b9\u306e\u5c0f\u6797\u85ab\u3082\u3088\u308d\u3057\u304f\u304a\u9858\u3044\u3057\u305f\u3044\u3082\u306e\u3067\u3042\u308b\u3002<br \/>\n\u3000\u671d\u65e5\u65b0\u805e\u306e\u8a18\u4e8b\u3060\u304c\uff0c\u3053\u3046\u3044\u3046\u3082\u306e\u304c\u51fa\u3055\u308c\u308b\u3068\u5927\u624b\u30de\u30b9\u30b3\u30df\u306e\u4fe1\u983c\u5ea6\u304c\u4e0b\u304c\u3063\u3061\u3083\u3046\u3088\u306a\u3002<\/p>\n<blockquote><p>\u300c<a href=\"http:\/\/www.asahi.com\/national\/update\/0131\/TKY200801300394.html\">\u6771\u5927\u306e\u8ad6\u6587\u3001\uff11\u672c\uff11\uff18\uff14\uff15\u4e07\u5186\u3000\u56fd\u7acb\u5927\u3067\u30b3\u30b9\u30c8\u6700\u5927\u7d1a<\/a>\u300d<br \/>\n\u6771\u4eac\u5927\u5b66\u306e\u8ad6\u6587\u306e\u300c\u751f\u7523\u6027\u300d\u304c\u56fd\u7acb\u5927\u5b66\u306e\u4e2d\u3067\u6700\u4f4e\u30ec\u30d9\u30eb\u306b\u3042\u308b\u3053\u3068\u304c\u6587\u90e8\u79d1\u5b66\u7701\u79d1\u5b66\u6280\u8853\u653f\u7b56\u7814\u7a76\u6240\u306e\u8abf\u67fb\u3067\u308f\u304b\u3063\u305f\u3002\u7814\u7a76\u8cbb\u3092\u8ad6\u6587\u6570\u3067\u5272\u3063\u305f\uff11\u672c\u5f53\u305f\u308a\u306e\u300c\u751f\u7523\u8cbb\u300d\u3092\u6bd4\u3079\u305f\u3002\u6771\u5927\u306a\u3069\u65e7\uff17\u5e1d\u5927\u306f\u304a\u3057\u306a\u3079\u3066\u751f\u7523\u8cbb\u304c\u9ad8\u304f\u3001\u65e7\u5e1d\u5927\u504f\u91cd\u304c\u6307\u6458\u3055\u308c\u3066\u304d\u305f\u56fd\u306e\u7814\u7a76\u8cbb\u914d\u5206\u306e\u3042\u308a\u65b9\u306b\u4e00\u77f3\u3092\u6295\u3058\u305d\u3046\u3060\u3002\n<\/p><\/blockquote>\n<p>\u3000\u3048\u30fc\u3068\u3067\u3059\u306d\uff0c\u307e\u305a\u3053\u306e\u6839\u62e0\u3068\u306a\u3063\u3066\u3044\u308b\u8cc7\u6599\u306b\u3064\u3044\u3066\u3060\u304c\uff0c<a href=\"http:\/\/www.nistep.go.jp\/achiev\/ftx\/jpn\/mat150j\/pdf\/mat150j.pdf\">\u3053\u3053<\/a>\u3067\u8aad\u3081\u308b\u3002\u672c\u6587\u3060\u3051\u306785\u30da\u30fc\u30b8\uff0c\u8cc7\u6599\u3082\u542b\u3081\u308b\u3068487\u30da\u30fc\u30b8\u306b\u3082\u306a\u308b\u529b\u4f5c\u3067\u3042\u308b\u3002<br \/>\n\u3000\u3067\uff0c\u8a18\u4e8b\u306f\u3053\u306e\u4e2d\u306e41\u30da\u30fc\u30b8\u304b\u308944\u30da\u30fc\u30b8\u307e\u3067\u306e\u300c4.2.4 \u8ad6\u6587\u5f53\u305f\u308a\u7d4c\u8cbb\u300d\u306e\u30c7\u30fc\u30bf\u3092\u8ad6\u62e0\u3068\u3057\u305f\u3082\u306e\u306e\u3088\u3046\u3060\u3002<br \/>\n\u3000\u30fb\u30fb\u30fb\u8a00\u3044\u305f\u3044\u3053\u3068\u306f\u5c71\u307b\u3069\u3042\u308b\u304c\uff0c\u3042\u3052\u3064\u3089\u308f\u308c\u305f\u6771\u5927\u5074\u306f\u3044\u305f\u3063\u3066\u51b7\u9759\u3067\uff0c\u8a18\u4e8b\u4e2d\u3067\u3082<\/p>\n<blockquote><p>\u6771\u5927\u306e\u5ca1\u6751\u5b9a\u77e9\uff08\u3055\u3060\u306e\u308a\uff09\u526f\u5b66\u9577\uff08\u7814\u7a76\u62c5\u5f53\uff09\u306f\u300c\u3044\u308d\u3044\u308d\u306a\u7d71\u8a08\u30c7\u30fc\u30bf\u304c\u3042\u308b\u306e\u3067\u3001\u3068\u304f\u306b\u30b3\u30e1\u30f3\u30c8\u3059\u308b\u3053\u3068\u306f\u306a\u3044\u300d\u3068\u3057\u3066\u3044\u308b\u3002\n<\/p><\/blockquote>\n<p>\u3063\u3066\u3044\u3046\u7a0b\u5ea6\u306e\u7121\u8996\u306b\u8fd1\u3044\u53cd\u5fdc\u3068\u306a\u308b\u306e\u306f\u5f53\u7136\u3060\u308d\u3046\u3002\u3053\u306e\u8cc7\u6599\u81ea\u4f53\uff0c\u305d\u30fc\u3086\u30fc\u3053\u3068\u3092\u8a00\u3046\u305f\u3081\u306e\u3082\u306e\u3067\u306f\u306a\u304f\u3066\uff0c\u5168\u56fd\u306b\u3042\u308b\u56fd\u7acb\u5927\u5b66\u306e\u73fe\u72b6\u3092\u5206\u6790\u3057\u3066\u7279\u5fb4\u4ed8\u3051\u3092\u884c\u3046\u3053\u3068\u306b\u3042\u308a\uff0c\u4eba\u6587\u7cfb\u3092\u9664\u3044\u305f\u8ad6\u6587\u4ef6\u6570\u3067\u7814\u7a76\u8cbb\u7dcf\u984d\u3092\u982d\u5272\u308a\u3057\u3066\u307f\u305f\u3089\u3053\u3046\u306a\u308a\u307e\u3059\u3063\u3066\u6307\u6a19\u3092\u3054\u304f\u4e00\u90e8\u3067\u7d39\u4ecb\u3057\u3066\u3044\u308b\u306b\u3059\u304e\u306a\u3044\u3002\u305d\u308c\u3067\u300c\u56fd\u306e\u7814\u7a76\u8cbb\u914d\u5206\u306e\u3042\u308a\u65b9\u306b\u4e00\u77f3\u3092\u6295\u3058\u300d\u308b\u3060\u3041\uff0c\u3075\u3056\u3051\u3093\u3058\u3083\u306d\u30fc\u3068\u8a00\u3044\u305f\u304f\u3082\u306a\u308d\u3046\u3068\u3044\u3046\u3082\u306e\u3067\u3042\u308b\u3002\u3053\u308c\u3060\u3051\u3067\u30db\u30f3\u30c8\u306b\u914d\u5206\u3092\u30c9\u30e9\u30b9\u30c6\u30a3\u30c3\u30af\u306b\u5909\u3048\u308b\u3088\u3046\u306a\u3089\uff0c\u65e5\u672c\u306e\u5b66\u8853\u7814\u7a76\u306f\u5d29\u58ca\u3059\u308b\u305c\uff0c\u3044\u3084\u30db\u30f3\u30c8\u3002\u88ab\u5f15\u7528\u6570\u3068\u304b\uff0c\u5206\u91ce\u306b\u3088\u308b\u7247\u5bc4\u3068\u304b\u6587\u5316\u306e\u9055\u3044\u3068\u304b\uff0c\u8003\u3048\u51fa\u3059\u3068\u76f8\u5f53\u306b\u96e3\u3057\u3044\u8a71\u306a\u3093\u3060\u304b\u3089\u3055\uff0c\u7814\u7a76\u8cbb\u306e\u914d\u5206\u554f\u984c\u3063\u3066\u306e\u306f\u3002<br \/>\n\u3000FFT\u306e\u8abf\u67fb\uff0c\u30aa\u30ea\u30b8\u30ca\u30eb\u8ad6\u6587\u304c<a href=\"http:\/\/www.stanford.edu\/class\/cme302\/classics\/\">\u3053\u3063\u3061\u3067\u8aad\u3081\u308b<\/a>\u3063\u3066\u306e\u306f\u59cb\u3081\u3066\u77e5\u3063\u305f\u3002\u4ed6\u306b\u3082\u5049\u5927\u306a\u8ad6\u6587\u591a\u6570\u63b2\u8f09\u3002\u8457\u4f5c\u6a29\u306f\u5927\u4e08\u592b\u304b\uff1f\u3000\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u89e3\u8aac\u306f<a href=\"http:\/\/www.kurims.kyoto-u.ac.jp\/~ooura\/fftman\/\">\u5927\u6d66\u5148\u751f<\/a>\u4ee5\u4e0a\u306e\u3082\u306e\u306f\u306a\u3055\u305d\u3046\u306a\u306e\u3067\u305d\u3061\u3089\u3092\u53c2\u7167\u3057\u3066\u3082\u3089\u3046\u3068\u3057\u3066\uff0c\u30ef\u30b7\u304c\u77e5\u308a\u305f\u304b\u3063\u305fCooley&#038;Tukey\u8ad6\u6587\u304c\u3067\u304d\u308b\u307e\u3067\u306e\u7d4c\u7def\u306b\u3064\u3044\u3066\u306f<a href=\"http:\/\/www.garfield.library.upenn.edu\/classics1993\/A1993MJ84500001.pdf\">\u3053\u30fc\u3086\u30fc\u3082\u306e<\/a>\u304c\u3042\u3063\u305f\u306e\u3092\u767a\u898b\u3057\u3066\u6e80\u8db3\u3002\u3067\uff0c\u3058\u3063\u304f\u308a\u8aad\u3093\u3067\u307f\u305f\u306e\u3067\u3042\u3063\u305f\u3002<br \/>\n\u3000\u3075\u30fc\u3093\uff0c\u5927\u7027\u8a60\u4e00\u306e\u5206\u6bcd\u5206\u5b50\u8ad6\u3058\u3083\u306a\u3044\u3051\u3069\uff0c\u3084\u3063\u3071\u308a\u30eb\u30fc\u30c4\u306f\u3061\u3083\u3093\u3068\u3042\u3063\u305f\u306e\u306d\u3002\u3069\u30fc\u3082FFT\u306e\u53c2\u8003\u66f8\u3092\u8aad\u3093\u3067\u307f\u308b\u3068\uff0cCooley&#038;Tukey\u4ee5\u524d\u304b\u3089\u540c\u69d8\u306e\u30a2\u30a4\u30c7\u30a3\u30a2\u306f\u77e5\u3089\u308c\u3066\u3044\u305f\u3063\u3066\u3053\u3068\u304c\u3061\u3089\u308a\u3068\u51fa\u3066\u304f\u308b\u306e\u3067\u6c17\u306b\u306a\u3063\u3066\u306f\u3044\u305f\u306e\u3060\u304c\uff0c\u30aa\u30ea\u30b8\u30ca\u30eb\u8ad6\u6587\u3067\u3082\u5f15\u7528\u3055\u308c\u3066\u3044\u308bGood\u306e\u4ed5\u4e8b\u304c\u4e0b\u6577\u304d\u306b\u306f\u306a\u3063\u3066\u3044\u305f\u308f\u3051\u3060\u3002\u306a\u3093\u304b\uff0cHouseholder\u5909\u63db\u304c\u51fa\u3061\u3083\u3063\u3066Givens\u5909\u63db\u306e\u683c\u304c\u4e0b\u304c\u3063\u305f\u3063\u3066\u8a71\u3068\u3088\u304f\u4f3c\u3066\u307e\u3059\u306a\u3002\u307b\u3093\u3068\uff0c\u5b66\u8005\u306e\u5148\u53d6\u6a29\u7af6\u4e89\u3063\u3066\u96e3\u3057\u304a\u3059\u306a\u3041\u301c\u3002<br \/>\n\u3000\u8003\u3048\u65b9\u3068\u3057\u3066\u306f<a href=\"http:\/\/en.wikipedia.org\/wiki\/Quicksort\">quicksort<\/a>\u307f\u305f\u3044\u306aDivide-and-Conquer\u7684\u306a\u6240\u304c\u4f3c\u3066\u3044\u308b\u304b\u3089\uff0c\u3069\u3063\u304b\u3067\u7e4b\u304c\u3063\u3066\u3044\u308b\u306e\u304b\u306a\u301c\uff0c\u3068\u601d\u3063\u3066\u66f4\u306bWeb\u3092\u6f01\u3063\u3066\u307f\u305f\u304c\uff0c\u78ba\u305f\u308b\u8a3c\u62e0\u306f\u306a\u3057\u3002Hoare\u306e\u8ad6\u6587\u304c1961\u5e74\uff0cCooley&#038;Tukey\u306e\u304c1965\u5e74\u3060\u304b\u3089\uff0c\u5171\u901a\u3059\u308b\u6642\u4ee3\u306e\u96f0\u56f2\u6c17\u3068\u3044\u3046\u3082\u306e\u304c\u5f7c\u3089\u3092\u89e6\u767a\u3057\u305f\u306e\u304b\u3057\u3089\u306d\u3047\u30fb\u30fb\u30fb\uff1f<br \/>\n\u3000\u3057\u304b\u3057\uff0c<a href=\"http:\/\/www.garfield.library.upenn.edu\/classics1993\/A1993MJ84500001.pdf\">\u3053\u306e\u5185\u5e55\u6587\u66f8<\/a>\uff0c\u3044\u308d\u3093\u306a\u3053\u3068\u304c\u66f8\u3044\u3066\u3042\u3063\u3066\u9762\u767d\u3044\u306a\u3041\u3002\u7c73\u30bd\u51b7\u6226\u306e\u5f71\u97ff\u3067FFT\u304c\u5fc5\u8981\u3060\u3063\u305f\u3068\u304b\uff0c\u7279\u8a31\u3092\u53d6\u308b\u304b\u3069\u3046\u304b\u3082\u691c\u8a0e\u3057\u305f\u3068\u304b\uff08\u7d50\u5c40Public domain\u3068\u306a\u3063\u305f\uff09\u30fb\u30fb\u30fb\u307b\u3093\u3068\uff0c\u4e00\u672c\u306e\u8ad6\u6587\u306e\u9670\u306b\u306f\u8272\u3005\u306a\u30c9\u30e9\u30de\u304c\u3042\u308b\u3082\u3093\u3060\u306d\u3047\u3002<br \/>\n\u3000\u305d\u30fc\u3044\u3084\uff0c\u65e5\u672c\u306e\u300c<a href=\"http:\/\/www.google.co.jp\/search?q=%E3%81%86%E3%81%A0%E3%81%86%E3%81%A0&#038;sourceid=navclient-ff&#038;ie=UTF-8&#038;rlz=1B3GGGL_jaJP236JP237\">\u3046\u3060\u3046\u3060<\/a>\u300d\u754c\u306b\u304a\u3044\u3066\uff0c\u3064\u3044\u306b\u30ef\u30b7\u306f\u30c8\u30c3\u30d7\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u306e\u3092\u3054\u5831\u544a\u3059\u308b\u306e\u3092\u5fd8\u308c\u3066\u3044\u305f\u3002<br \/>\n<a href=\"http:\/\/na-inet.jp\/weblog\/archives\/udauda_20080131.png\"><img loading=\"lazy\" decoding=\"async\" alt=\"udauda_20080131.png\" src=\"http:\/\/na-inet.jp\/weblog\/archives\/udauda_20080131-thumb.png\" width=\"250\" height=\"162\" \/><\/a><br 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\/>\n\u3000\u3068\u3044\u3046\u3053\u3068\u3067\u3046\u3060\u3046\u3060\u3057\u306a\u304c\u3089\u5bdd\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3000\u3061\u3087\u308d\u3063\u3068\u5bd2\u3044\u30fb\u30fb\u30fb\u304b\u306a\uff1f\u3000\u305a\u30fc\u3063\u3068\u5ba4\u5185\u306b\u7c60\u3082\u3063\u3066\u3044\u308b\u306e\u3067\u3088\u30fc\u308f\u304b\u3089\u3093\u3002 \u30001\u6708\u3082\u3082\u3046\u7d42\u308f\u308a\u3002\u3042\u3063\u3068\u3044\u3046\u9593\u306b2\u6708\u306b\u306a\u308a3\u6708\u306b\u306a\u308a4\u6708\u306b\u306a\u308b\u3068\u30c9\u30bf\u30d0\u30bf\u3068\u8b1b\u7fa9\u304c\u59cb\u307e\u3063\u3066\u3042\u3063\u3068\u3044\u3046\u9593\u306b\u590f\u4f11\u307f\u306b\u306a\u308b\u306e\u3067\u3042\u308d\u3046\u3002\u4eca\u5e74\u306f\u51b7\u590f\u3067\u3042\u3063 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/na-inet.jp\/weblog2\/2008\/01\/31\/131_1\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> 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