{"id":908,"date":"2012-04-30T06:16:18","date_gmt":"2012-04-29T21:16:18","guid":{"rendered":"http:\/\/math.co.jp\/blog\/?p=908"},"modified":"2012-04-30T11:00:10","modified_gmt":"2012-04-30T02:00:10","slug":"3%e3%81%a4%e3%81%ae%e6%95%b0%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/math.co.jp\/blog\/?p=908","title":{"rendered":"3\u3064\u306e\u6570\u5b66"},"content":{"rendered":"<p>\u6570\u5b66\u306b\u306f, \u5927\u304d\u304f\u5206\u3051\u3066 3 \u7a2e\u985e\u3042\u308b\u3002\u305d\u308c\u306f,<br \/>\n[1] \u751f\u304d\u3066\u3044\u304f\u4e0a\u3067\u5fc5\u8981\u3068\u3055\u308c\u308b\u77e5\u8b58\u3068\u3057\u3066\u306e\u6570\u5b66<br \/>\n[2] \u53d7\u9a13\u6570\u5b66<br \/>\n[3] \u8da3\u5473\u30fb\u8208\u5473\u3068\u3057\u3066\u306e\u6570\u5b66<br \/>\n\u3067\u3042\u308b\u3002<br \/>\n[1] \u306f, \u3084\u3055\u3057\u3044\u3082\u306e\u3067\u3042\u308c\u3070, \u7b97\u6570\u306e\u8a08\u7b97\u306a\u3069\u304c\u3042\u3066\u306f\u307e\u308b\u3002\u307e\u305f, \u6587\u79d1\u7701\u306e\u30ab\u30ea\u30ad\u30e5\u30e9\u30e0\u3082\u3053\u306e\u59ff\u52e2\u3067\u4f5c\u6210\u3055\u308c\u3066\u3044\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u8003\u3048\u3089\u308c\u308b\u304b\u3089, \u9ad8\u6821\u306e\u73fe\u5834\u3067\u6587\u79d1\u7701\u691c\u5b9a\u306b\u6cbf\u3063\u305f\u6570\u5b66\u3092\u6559\u3048\u308b\u3053\u3068\u306f, [1] \u306e\u3082\u3068\u3067\u306e\u6d3b\u52d5\u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066, \u672c\u6765\u306f\u9ad8\u6821\u6570\u5b66\u306e\u539f\u70b9\u306f\u5927\u5b66\u53d7\u9a13\u306a\u3069\u306b\u632f\u308a\u56de\u3055\u308c\u308b\u306e\u3067\u306f\u306a\u304f\u5fc5\u8981\u3068\u3055\u308c\u308b\u3082\u306e\u3092\u3057\u3063\u304b\u308a\u3068\u7fd2\u5f97\u3059\u308c\u3070\u3088\u3044\u306e\u3067\u3042\u3063\u3066, \u6642\u9593\u5236\u9650\u306e\u3082\u3068\u3042\u305b\u3063\u3066\u89e3\u304f\u5fc5\u8981\u306e\u306a\u3044\u3082\u306e\u306a\u306e\u304b\u3082\u3057\u308c\u306a\u3044\u3002<br \/>\n[2] \u306f\u53d7\u9a13\u7279\u6709\u306e\u6570\u5b66\u3092\u6307\u3059\u3002\u3053\u308c\u306f, \u3053\u306e\u56fd\u304c\u3053\u308c\u307e\u3067\u7bc9\u304d\u4e0a\u3052\u305f\u300c\u6587\u5316\u300d\u306e\u4e00\u3064\u3067\u3042\u308b\u3002\u53d7\u9a13\u6570\u5b66\u306e\u7279\u5fb4\u306e\u4e00\u3064\u306f, \u554f\u984c\u3092\u89e3\u304f\u4e0a\u3067\u53b3\u3057\u3044\u300c\u6642\u9593\u5236\u9650\u300d\u304c\u3042\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066, \u3086\u3063\u304f\u308a\u8003\u3048\u3066\u7b54\u3092\u51fa\u3059\u306e\u3067\u306f\u306a\u304f\u77ed\u6642\u9593\u3067\u6b63\u89e3\u306b\u9054\u3059\u308b\u3088\u3046\u306a\u624b\u6cd5\u304c\u5fc5\u8981\u3068\u3055\u308c\u308b\u3053\u3068\u3082\u3042\u308b\u3002\u4f8b\u3048\u3070, 2 \u6b21\u65b9\u7a0b\u5f0f ax^2+2b&#8217;x+c=0 \u3092\u89e3\u304f\u3068\u304d, \u89e3\u3092\u5224\u5225\u3059\u308b\u3068\u304d\u306b D (\u5224\u5225\u5f0f) \u3067\u306f\u306a\u304f, D\/4 \u3092\u7528\u3044\u308b\u3053\u3068\u3082\u3042\u308b\u304c, \u53d7\u9a13\u6570\u5b66\u306e\u7acb\u5834\u304b\u3089\u3059\u308c\u3070\u305d\u308c\u306f\u5fc5\u8981\u3068\u3055\u308c\u308b\u77e5\u8b58\u3067\u3042\u308b\u3002\u3088\u304f\u3001\u300cD \u3092\u77e5\u3063\u3066\u3044\u308c\u3070 D\/4 \u306f\u3044\u3089\u306a\u3044\u300d\u3068\u3044\u3046\u4eba\u3082\u3044\u308b\u304c, \u305d\u306e\u3088\u3046\u306a\u4eba\u306b\u306f\u3082\u3061\u308d\u3093\u6570\u5b66\u304c\u82e6\u624b\u306a\u9ad8\u6821\u751f\u306b\u95a2\u308f\u3063\u3066\u3044\u308b\u7acb\u5834\u304b\u3089(\u8ca0\u62c5\u304c\u5c11\u306a\u304f\u306a\u308b\u3088\u3046\u306b)\u8a00\u3063\u3066\u3044\u308b\u4eba\u3082\u3044\u308b\u3082\u306e\u306e, \u591a\u304f\u306f\u300c\u6642\u9593\u5236\u9650\u306e\u306a\u3044\u4e16\u754c\u300d\u306b\u3069\u3063\u3077\u308a\u3068\u6d78\u304b\u3063\u3066\u3044\u308b\u4eba\u9054\u3060\u3063\u305f\u308a\u3059\u308b\u3002\u307e\u305f\u3001\u300c\u53d7\u9a13\u6570\u5b66\u300d\u3092\u6559\u3048\u308b\u4e2d\u306b\u306f, \u6570\u5b66\u304c\u82e6\u624b\u306a\u751f\u5f92\u306b\u5bfe\u3057\u3066\u3082\u308f\u304b\u3089\u305b\u308b\u5de5\u592b(\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u70b9\u3092\u53d6\u3089\u305b\u308b\u5de5\u592b)\u3082\u3042\u308b\u3002\u3082\u3061\u308d\u3093\u3053\u308c\u306f\u5185\u5bb9\u306b\u3088\u3063\u3066\u306f\u8cdb\u5426\u304c\u5206\u304b\u308c\u305f\u308a\u3082\u3059\u308b\u3002<br \/>\n[3] \u306f, \u300c\u6570\u5b66\u30de\u30cb\u30a2\u300d\u3068\u304b\u6570\u5b66\u306e\u300c\u7814\u7a76\u8005\u300d\u306a\u3069\u304c\u95a2\u308f\u308b\u6570\u5b66\u3067\u3042\u308b\u3002\u6570\u5b66\u306e\u7f8e\u3057\u3055\u306b\u611f\u9298\u3057\u305f\u308a, \u81ea\u7136\u754c\u306e\u4e2d\u306b\u542b\u307e\u308c\u308b\u6570\u5b66\u7684\u306a\u3057\u304f\u307f\u3092\u89e3\u660e\u3059\u308b\u306a\u3069\u304c\u3042\u308b\u3002\u305d\u308c\u3092\u5b9f\u751f\u6d3b\u3078\u5fdc\u7528\u3059\u308b\u3053\u3068\u3092\u8003\u3048\u308b\u4eba\u3082\u3044\u308c\u3070, \u5b9f\u751f\u6d3b\u3068\u306f\u7121\u95a2\u4fc2\u306b\u5358\u306b\u8208\u5473\u3068\u3057\u3066\u7814\u7a76\u3059\u308b\u4eba\u3082\u3044\u308b\u3002<\/p>\n<p>\u91ce\u7403, \u30c6\u30cb\u30b9\u306a\u3069\u306b\u306f\u8edf\u5f0f\u30fb\u786c\u5f0f\u304c\u3042\u308b\u304c, \u3053\u306e\u3069\u3061\u3089\u304c\u300c\u6b63\u7d71\u300d\u304b\u3068\u3044\u3046\u3053\u3068\u3092\u4e3b\u5f35\u3057\u5408\u3063\u3066\u3082\u4ed5\u65b9\u306e\u306a\u3044\u3053\u3068\u3067\u306f\u306a\u3044\u304b\u3002\u307e\u305f, \u30b9\u30b1\u30fc\u30c8\u306e\u4e2d\u306b\u3082\u30b9\u30d4\u30fc\u30c9\u30b9\u30b1\u30fc\u30c8\u3084\u30d5\u30a3\u30ae\u30e5\u30a2\u306a\u3069\u304c\u3042\u308a, \u3053\u306e\u3069\u3061\u3089\u304c\u300c\u6b63\u7d71\u300d\u306a\u30b9\u30b1\u30fc\u30c8\u304b\u3068\u8a00\u3063\u305f\u3068\u3053\u308d\u3067\u610f\u5473\u304c\u306a\u3044\u306e\u3067\u306f\u306a\u3044\u304b\u3002\u307e\u305f, \u97f3\u697d\u306b\u304a\u3044\u3066\u3082\u30af\u30e9\u30b7\u30c3\u30af\u3084\u30b8\u30e3\u30ba, \u6b4c\u8b21\u66f2\u7b49\u69d8\u3005\u3067\u3042\u308b\u304c, \u3053\u308c\u3092\u597d\u307f\u306e\u8b70\u8ad6\u306f\u3082\u3061\u308d\u3093\u69cb\u308f\u306a\u3044\u306b\u3057\u3066\u3082\u3069\u3061\u3089\u304c\u300c\u6b63\u7d71\u300d\u3092\u8a00\u3063\u3066\u3082\u3080\u306a\u3057\u3044\u3060\u3051\u3067\u306f\u306a\u3044\u304b\u3002\u3053\u308c\u3092, \u4e00\u65b9\u306e\u7acb\u5834\u306e\u4eba\u304c, \u81ea\u5206\u306e\u3084\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u6b63\u7d71\u3067\u3042\u308a, \u4ed6\u306f\u90aa\u9053\u3067\u3042\u308b\u306a\u3069\u3068\u3044\u3046\u3068, 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\u300c\u516c\u5f0f\u306f\u5c0e\u3044\u3066\u304b\u3089\u4f7f\u3046\u3088\u3046\u306b\u3059\u308c\u3070\u3088\u3044\u306e\u3060\u304b\u3089, \u305d\u3046\u305f\u304f\u3055\u3093\u899a\u3048\u308b\u5fc5\u8981\u304c\u306a\u3044\u300d\u3068\u3044\u3046\u767a\u8a00\u3092\u3059\u308b\u4eba\u3082\u3044\u308b\u3002\u3057\u304b\u3057,  [2]\u306e\u4e16\u754c\u3067\u306f, \u305d\u308c\u3070\u304b\u308a\u3060\u3068\u6642\u9593\u5185\u306b\u76ee\u7684\u304c\u9054\u6210\u3067\u304d\u305a\u306b\u7d42\u308f\u3089\u306a\u304f\u306a\u308b\u3053\u3068\u3082\u591a\u3005\u3042\u308b\u3002\u305d\u3057\u3066, [2]\u306e\u4e16\u754c\u3092\u4f5c\u308a\u51fa\u3057\u305f\u306e\u306f, \u5927\u5b66\u5165\u8a66\u3067\u3042\u308a, [3] \u306e\u4e16\u754c\u306e\u4eba\u3067\u3042\u308b\u3053\u3068\u3082\u5fd8\u308c\u3066\u306f\u306a\u3089\u306a\u3044\u3002<\/p>\n<p>\u4ee5\u524d, \u4e2d\u5b66\u5165\u8a66\u3067\u6b21\u306e\u3088\u3046\u306a\u300c\u6cd5\u5247?\u300d\u3092\u805e\u3044\u305f\u3002<\/p>\n<p>\u6b63\u65b9\u5f62\u306e\u307e\u308f\u308a\u3092\u534a\u5f84 r \u306e\u5186\u304c\u6b63\u65b9\u5f62\u306b\u63a5\u3057\u306a\u304c\u3089\u4e00\u5468\u3059\u308b\u3002\u3053\u306e\u3068\u304d, \u5186\u306e\u901a\u904e\u90e8\u5206\u306e\u9762\u7a4d\u3092 S \u3068\u3059\u308b\u3002<br \/>\n\u5186\u306e\u4e2d\u5fc3\u304c\u52d5\u3044\u305f\u90e8\u5206\u306e\u9577\u3055\u3092 L \u3068\u304a\u304f\u3068, \u3053\u306e\u3068\u304d,<br \/>\nS = 2Lr<br \/>\n\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p>\u3053\u308c\u306f, \u4e2d\u5b66\u5165\u8a66\u3067\u306f\u300c\u30bb\u30f3\u30bf\u30fc\u30e9\u30a4\u30f3\u306e\u6cd5\u5247\u300d\u306a\u3069\u3068\u8a00\u3046\u306e\u3060\u305d\u3046\u304c, \u4e2d\u5b66, \u9ad8\u6821\u306e\u6570\u5b66\u306e\u5148\u751f\u304b\u3089\u3059\u308c\u3070\u300c\u300e\u666e\u901a\u300f\u306b\u8a08\u7b97\u3059\u308c\u3070\u3088\u3044\u3067\u306f\u306a\u3044\u304b\u300d\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u3053\u308c\u3082, \u6570\u5b66\u306e\u70b9\u304c\u3068\u308c\u306a\u3044\u4eba\u306b\u70b9\u3092\u53d6\u3089\u305b\u308b\u305f\u3081\u306b\u3067\u304d\u305f\u3082\u306e\u3067\u4e00\u3064\u306e\u300c\u6587\u5316\u300d\u3067\u306f\u3042\u308b\u3068\u601d\u3046\u3002<\/p>\n<p>[2] \u306e\u4e16\u754c\u306e\u4eba\u304c[3]\u306e\u4e16\u754c\u306e\u4eba\u3092\u5c0f\u99ac\u9e7f\u306b\u3057\u3066\u3044\u308b\u3053\u3068\u3082\u3088\u304f\u3042\u308b\u3002\u4f8b\u3048\u3070, [3]\u306e\u4e16\u754c\u306e\u4eba\u306e\u4e2d\u306b\u306f\u81ea\u5206\u9054\u3067\u5927\u5b66\u5165\u8a66\u554f\u984c\u3092\u4f5c\u3063\u3066\u304a\u304d\u306a\u304c\u3089, [2]\u306e\u4eba\u304b\u3089\u898b\u308c\u3070\u89e3\u304f\u306e\u304c\u5927\u5909\u9045\u3044\u304b\u3089\u3067\u3042\u308b\u3002<\/p>\n<p>\u3053\u308c\u4ee5\u5916\u306e\u4f8b\u3082\u591a\u3005\u3042\u308b\u306e\u3067\u3042\u308b\u304c, \u6570\u5b66\u306e\u4e16\u754c\u306b\u304a\u3044\u3066\u3082\u3069\u306e\u6570\u5b66\u304c\u6700\u3082\u5fc5\u8981\u306a\u306e\u304b\u3068\u304b\u300c\u6b63\u7d71\u300d\u306a\u306e\u304b\u3092\u8b70\u8ad6\u3059\u308b\u3053\u3068\u3092\u597d\u3080\u4eba\u3082\u591a\u3044\u3002\u3082\u3061\u308d\u3093, \u8b70\u8ad6\u81ea\u4f53\u306f\u6b62\u3081\u306f\u3057\u306a\u3044\u304c, \u305d\u306e\u4e2d\u306b\u306f\u81ea\u5206\u306e\u7acb\u5834\u3057\u304b\u77e5\u3089\u306a\u3044\u8996\u91ce\u306e\u72ed\u3044\u767a\u8a00\u304c\u591a\u3044\u306e\u3067, \u305d\u306e\u70b9\u304c\u6b8b\u5ff5\u3067\u306f\u3042\u308b\u3002<br \/>\n\u305d\u3057\u3066, \u6570\u5b66\u306b\u95a2\u308f\u308b\u4eba\u5168\u54e1\u304c[1],[2],[3] 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