{"id":8683,"date":"2011-05-03T11:23:54","date_gmt":"2011-05-03T03:23:54","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=8683"},"modified":"2017-03-31T23:20:43","modified_gmt":"2017-03-31T15:20:43","slug":"%e3%80%90%e6%88%91%e7%9a%84%e6%95%b8%e5%ad%b8%e5%a4%a2%e3%80%91%e5%b0%8b%e6%89%be%e7%8b%90%e7%8b%b8%e7%9a%84%e8%b6%b3%e8%b7%a1","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=8683","title":{"rendered":"\u3010\u6211\u7684\u6578\u5b78\u5922\u3011\u5c0b\u627e\u72d0\u72f8\u7684\u8db3\u8de1"},"content":{"rendered":"<p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignright size-full wp-image-8686\" title=\"Euler's_formula.svg\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2011\/05\/Eulers_formula.svg_.png\" alt=\"\" width=\"426\" height=\"420\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2011\/05\/Eulers_formula.svg_.png 608w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2011\/05\/Eulers_formula.svg_-600x592.png 600w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><\/p>\n<p><span style=\"color: #800000;\"><strong>\u25a0 \u300c\u6709\u4e9b\u4e8b\u73fe\u5728\u4e0d\u505a\uff0c\u4ee5\u5f8c\u4e5f\u4e0d\u6703\u505a\u4e86\uff01\u300d\u9019\u662f\u4e00\u500b\u6cd5\u5f8b\u7cfb\u5b78\u751f\u71b1\u8840\u524d\u9032\u6578\u5b78\u7684\u6545\u4e8b\uff0c\u5728\u4ed6\u773c\u4e2d\uff0c\u6cd5\u5f8b\u8207\u6578\u5b78\u4e26\u6c92\u6709\u90a3\u9ebc\u7684\u4e0d\u540c\u3002<\/strong><\/span><\/p>\n<p><strong>\u64b0\u6587<\/strong> \u2223 \u6234\u4f73\u539f<\/p>\n<p>\u3000\u3000\u570b\u4e00\u6642\u6211\u4e00\u76f4\u4e0d\u660e\u767d\u70ba\u4ec0\u9ebcx+2=3\u6703\u5f97\u5230x=1\uff0c\u800c\u4e0d\u662fx=x\u9019\u500b\u4e0d\u8a00\u81ea\u660e\u7684\u7b54\u6848\u3002\u66f4\u4e0d\u660e\u767d\u70ba\u4ec0\u9ebc\u7576\u6211\u9019\u6a23\u56de\u7b54\uff0c\u8003\u8a66\u7e3d\u662f\u96f6\u5206\u3002\u6211\u7684\u7591\u60d1\uff0c\u90a3\u6642\u6c92\u6709\u4eba\u80fd\u89e3\u7b54\u3002\u76f4\u5230\u6709\u4e00\u6b21\u5bb6\u653f\u8001\u5e2b\u770b\u6211\u5728\u7b97\u6578\u5b78\uff0c\u5979\u548c\u8a31\u591a\u4eba\u4e00\u6a23\uff0c\u4e5f\u4e0d\u61c2\u70ba\u4ec0\u9ebc\u6211\u4e0d\u6703\u90a3\u9ebc\u7c21\u55ae\u7684\u554f\u984c\uff0c\u4f46\u4e0d\u4e00\u6a23\u7684\u662f\uff0c\u5979\u5f88\u5927\u65b9\u5730\u5632\u7b11\u6211\uff0c\u800c\u6211\u54ed\u4e86\uff0c\u4f46\u547d\u904b\u5f88\u5947\u5999\uff0c\u6211\u5f9e\u6b64\u5c31\u6703\u4e86\u3002<\/p>\n<p>\u3000\u3000\u5f8c\u4f86\uff0c\u6211\u8b80\u4e86\u4e9b\u6578\u5b78\u54f2\u5b78\uff0c\u77e5\u9053\u4eba\u985e\u5f9e\u6578\u89ba\uff08\u5982\u4e00\u96bb\u7f8a\uff09\u5230\u6578\uff08\u5982\u62bd\u8c61\u76841\uff09\uff0c\u5f9e\u7d50\u7e69\u5230\u7b26\u865f\uff0c\u5fc5\u9808\u7d93\u6b77\u5e7e\u842c\u5e74\u7684\u6f14\u5316\u3002\u624d\u77e5\u9053\u7576\u6642\u5728\u6211\u7684\u751f\u547d\u4e2d\u4e5f\u7d93\u6b77\u4e86\u6f14\u5316\uff0c\u96d6\u7136\u53ea\u6709\u5e7e\u500b\u6708\uff0c\u4f46\u5df2\u8b93\u6211\u5982\u6b64\u5f37\u70c8\u5730\u610f\u8b58\u5230\u6578\u5b78\u7684\u5b58\u5728\u3002<\/p>\n<p>\u3000\u3000\u9ad8\u4e2d\uff0c\u4e0d\u77e5\u662f\u5426\u56e0\u70ba\u7d93\u6b77\u67d0\u7a2e\u4f5b\u6d1b\u4f9d\u5fb7\u5f0f\u7684\u4e0d\u6eff\u8db3\uff0c\u6211\u8b8a\u5f97\u64c5\u9577\u64cd\u5f04\u7b26\u865f\uff0c\u52a0\u4e0a\u4e00\u9ede\u8010\u5fc3\uff0c\u6210\u70ba\u4e86\u89e3\u984c\u80fd\u624b\u3002\u67d0\u6b21\u9ad8\u4e8c\u6578\u5b78\u8ab2\uff0c\u8001\u5e2b\u900f\u904e\u77e9\u9663\u6c42\u89e3\u4e00\u822c\u7dda\u6027\u65b9\u7a0b\u7d44\uff0c\u6211\u770b\u8457\u9ed1\u677f\u4e0a\u7684x\uff0cy\u548cz\uff0c\u7a81\u7136\u60f3\u8d77\u570b\u4e2d\u61f5\u61c2\u7684\u81ea\u5df1\uff0c\u518d\u60f3\u8d77\u73fe\u5728\u537b\u80fd\u8655\u7406\u90a3\u9ebc\u591a\u672a\u77e5\u6578\uff0c\u4e0d\u7981\u6fc0\u52d5\u96e3\u4ee5\u81ea\u5df2\u3002<\/p>\n<p>\u3000\u3000\u4eba\u751f\u8a31\u591a\u9078\u64c7\uff0c\u63a2\u5c0b\u5230\u6700\u5f8c\uff0c\u9a40\u7136\u56de\u9996\uff0c\u90fd\u662f\u9019\u4e9b\u56de\u61b6\u788e\u7247\u3002<\/p>\n<p><!--more--><\/p>\n<p>\u3000\u3000\u6211\u66fe\u7533\u8acb\u53f0\u5927\u6578\u5b78\u7cfb\uff0c\u4f46\u611f\u8b1d\u795e\uff0c\u6211\u843d\u699c\u4e86\u3002\u539f\u672c\u7236\u6bcd\u5e0c\u671b\u6211\u53bb\u5ff5\u68ee\u6797\u7cfb\uff0c\u56e0\u70ba\u4ed6\u5011\u8a8d\u70ba\u6211\u662f\u500b\u592a\u300c\u689d\u76f4\u300d\u7684\u5b69\u5b50\uff0c\u6bd4\u8f03\u9069\u5408\u53bb\u8ddf\u6a39\u5728\u4e00\u8d77\u3002\u4e0d\u904e\u6700\u5f8c\u6211\u900f\u904e\u6307\u8003\u9032\u5165\u4e86\u53f0\u5927\u6cd5\u5f8b\u7cfb\u3002\u4e0d\u77e5\u70ba\u4f55\uff0c\u6211\u5c0d\u6578\u5b78\u5ff5\u5ff5\u4e0d\u5fd8\uff0c\u65bc\u662f\u5927\u4e8c\u6642\u7533\u8acb\u4e86\u96d9\u4e3b\u4fee\u6578\u5b78\u7cfb\uff0c\u56e0\u6b64\u6211\u5e38\u81ea\u5632\u70ba\u300c\u6cd5\u6578\u7cfb\u300d\u5b78\u751f\u3002\u6709\u4e9b\u6cd5\u5f8b\u7cfb\u540c\u5b78\u8a8d\u70ba\u6cd5\u5f8b\u8ddf\u6578\u5b78\u5f88\u4e0d\u300c\u642d\u300d\uff0c\u751a\u81f3\u8a8d\u70ba\u65e2\u7136\u90fd\u8b80\u6cd5\u5f8b\uff0c\u5c31\u4e0d\u518d\u9700\u8981\u6578\u5b78\u6216\u79d1\u5b78\u3002\u7136\u800c\uff0c\u6211\u8a8d\u70ba\u4eba\u985e\u4e8b\u52d9\u6975\u5176\u8907\u96dc\u591a\u5143\uff0c\u6cd5\u5b78\u5728\u77e5\u8b58\u9762\u4e0a\u4e0d\u53ef\u907f\u514d\u5730\u8981\u8207\u54f2\u5b78\u3001\u653f\u6cbb\u5b78\u3001\u7d93\u6fdf\u5b78\u3001\u793e\u6703\u5b78\uff0c\u751a\u81f3\u81ea\u7136\u79d1\u5b78\u300c\u5148\u885d\u7a81\u5f8c\u6574\u5408\u300d\uff0c\u624d\u80fd\u59a5\u5584\u8655\u7406\u5404\u7a2e\u7d1b\u722d\u3002\u9019\u7a2e\u9ad4\u8a8d\u4e0d\u4f46\u662f\u6211\u9078\u64c7\u6cd5\u5f8b\u7cfb\u7684\u521d\u8877\uff0c\u4e5f\u4fc3\u4f7f\u6211\u601d\u8003\u5982\u4f55\u5728\u8fd1\u4ee3\u5b78\u79d1\u5c08\u696d\u5206\u5316\u7684\u8da8\u52e2\u4e2d\uff0c\u63d0\u9192\u81ea\u5df1\u4fdd\u6301\u5bec\u95ca\u958b\u653e\u7684\u5b78\u8853\u5fc3\u80f8\u3002\u70ba\u6b64\uff0c\u7576\u6642\u5e74\u8f15\u72c2\u5984\u7684\u6211\uff0c\u7405\u7405\u4e0a\u53e3\u300c\u6cd5\u5f8b\u6578\u5b78\u672c\u4e00\u5bb6\u300d\uff0c\u7406\u6240\u7576\u7136\u5f15\u8d77\u4e0d\u5c11\u8cea\u7591\u3002<\/p>\n<p>\u3000\u3000\u70ba\u4e86\u8b49\u660e\u81ea\u5df1\u662f\u5c0d\u7684\uff0c\u6211\u7814\u8b80\u4e00\u4e9b\u300c\u5b78\u8853\u53f2\u300d\u65b9\u9762\u7684\u66f8\u7c4d\uff0c\u4e86\u89e3\u6578\u5b78\uff08\u6216\u6578\u5b78\u54f2\u5b78\uff09\u5728\u555f\u8499\u6642\u4ee3\u5f8c\u5f15\u8d77\u65b9\u6cd5\u8ad6\u7684\u98a8\u6f6e\uff0c\u4f8b\u5982Bentham\u76f8\u4fe1\u529f\u5229\u4e3b\u7fa9\uff0c\u60f3\u5efa\u7acb\u300c\u5feb\u6a02\u7684\u5fae\u7a4d\u5206\u300d\u4f86\u5206\u6790\u5982\u4f55\u6975\u5927\u5316\u793e\u6703\u798f\u5229\uff1b\u7f8e\u570b\u61b2\u6cd5\u5177\u6709\u6578\u5b78\u516c\u7406\u5316\u6f14\u7e79\u908f\u8f2f\u7684\u98a8\u683c\uff1b\u5728\u81ea\u7136\u6cd5\u8207\u7d14\u7cb9\u6cd5\u5b78\u7684\u6982\u5ff5\u4e2d\u4e5f\u53ef\u770b\u5230\u6578\u5b78\u7684\u5f71\u5b50\u3002\u76f4\u5230\u73fe\u5728\uff0c\u300c\u975e\u7dda\u6027\u300d\u3001\u300c\u8774\u8776\u5438\u5b50\u300d\u3001\u300c\u6df7\u6c8c\u300d\u548c\u300c\u62d3\u6a38\u300d\u7b49\u6578\u5b78\u8853\u8a9e\u4e5f\u7d0d\u5165\u5211\u6cd5\u5b78\u3001\u54f2\u5b78\u548c\u6b77\u53f2\u5b78\u95dc\u65bc\u56e0\u679c\u95dc\u4fc2\u7684\u8a0e\u8ad6\u3002\u7576\u7136\uff0c\u4ee5\u4e0a\u4f8b\u5b50\u7121\u6cd5\u5145\u5206\u91d0\u6e05\u300c\u6cd5\u5f8b\u6578\u5b78\u672c\u4e00\u5bb6\u300d\u4e2d\u300c\u672c\u4e00\u5bb6\u300d\u4e00\u8a9e\u6240\u5177\u5099\u7684\u6b67\u7fa9\u6027\uff0c\u800c\u5b78\u79d1\u8853\u8a9e\u8de8\u754c\u6df7\u7528\u4e5f\u503c\u5f97\u7701\u601d\uff0c\u4f46\u4e00\u8def\u8d70\u4f86\uff0c\u6211\u59cb\u7d42\u76f8\u4fe1\uff0c\u7a4d\u6975\u958b\u653e\u5fc3\u80f8\u6703\u8b93\u5b78\u8853\u751f\u547d\u5c07\u66f4\u70ba\u8c50\u5bcc\u3002<\/p>\n<p><strong>\u4e26\u4e0d\u5b64\u7368<\/strong><\/p>\n<p>\u3000\u3000\u8b80\u904e\u6b77\u53f2\u4e0a\u8a31\u591a\u6578\u5b78\u5bb6\u7684\u5b78\u601d\u7d93\u6b77\u4e4b\u5f8c\uff0c\u6211\u767c\u73fe\u517c\u5177\u6cd5\u5f8b\u8207\u6578\u5b78\u8a13\u7df4\u7684\u4eba\u5176\u5be6\u4e0d\u5c11\uff01\u4f8b\u5982\u7b1b\u5361\u5152\uff08Ren\u00e9 Descartes\uff09\u662f\u6cd5\u5b78\u535a\u58eb\uff0c\u662f\u5f8b\u5e2b\uff1b\u8cbb\u99ac\uff08Pierre de Fermat\uff09\u4e5f\u662f\u5f8b\u5e2b\uff1b\u840a\u5e03\u5c3c\u8332\uff08Gottfried Leibniz\uff09\u5927\u5b78\u4e3b\u4fee\u6cd5\u5b78\uff1b\u60e0\u66f4\u65af\uff08Christiaan Huygens\uff09\u5927\u5b78\u4e3b\u4fee\u6cd5\u5f8b\u8207\u6578\u5b78\uff1b\u9b4f\u723e\u65af\u7279\u62c9\u65af\uff08Karl Weierstrass\uff09\u627f\u7236\u547d\u5728\u5927\u5b78\u4e3b\u4fee\u6cd5\u5f8b\u8207\u8ca1\u653f\uff0c\u4f46\u70ba\u4e86\u6578\u5b78\uff0c\u64da\u8aaa\u4ed6\u5be7\u53ef\u9157\u9152\uff0c\u5411\u4ed6\u7236\u89aa\u6297\u8b70\u3002\u4ed6\u5011\u51fa\u5165\u65bc\u6cd5\u5f8b\u8207\u6578\u5b78\u4e4b\u9593\uff0c\u8b93\u6211\u77e5\u9053\u81ea\u5df1\u4e26\u4e0d\u5b64\u7368\u3002<\/p>\n<p>\u3000\u3000\u4f46\u5230\u5e95\u662f\u4ec0\u9ebc\u5438\u5f15\u6211\u7684\u9019\u4e9b\u300c\u6cd5\u6578\u7cfb\u300d\u5b78\u9577\u5011\u5982\u6b64\u71b1\u611b\u6578\u5b78\uff0c\u751a\u81f3\u5949\u737b\u4e00\u751f\uff1f\u5f9e\u771f\u5584\u7f8e\u7684\u89d2\u5ea6\uff0c\u6211\u8a8d\u70ba\uff0c\u6578\u5b78\u300c\u516c\u7406\u5316\u6f14\u7e79\u908f\u8f2f\u300d\u7684\u65b9\u6cd5\u8ad6\u80fd\u7522\u751f\u5176\u4ed6\u5b78\u79d1\u7121\u6cd5\u64c1\u6709\u7684\u300c\u78ba\u5b9a\u6027\u300d\u3002\u70ba\u6b64\uff0c\u6578\u5b78\u601d\u8003\u8fd1\u4f3c\u63a5\u89f8\u771f\u7406\uff0c\u6578\u5b78\u8b49\u660e\u5247\u7b49\u540c\u767c\u73fe\u771f\u7406\u3002\u53e6\u5916\uff0c\u6578\u5b78\u7e3d\u6563\u767c\u8457\u4e00\u7a2e\u7c21\u6f54\u7d14\u7cb9\u7684\u7f8e\u611f\uff0c\u4f8b\u5982\u6211\u6700\u559c\u6b61\u7684Euler\u516c\u5f0f\uff1a <em>e<\/em><sup><em>i<\/em>\u03c0<\/sup> + 1 = 0\uff0c\u4e00\u500b\u7c21\u55ae\u7b49\u5f0f\u7d50\u5408\u4e86\u52a0\u6cd5\u3001\u4e58\u6cd5\u548c\u6307\u6578\u5f8b\u7b49\u5e38\u898b\u904b\u7b97\uff0c\u4ee5\u53caEuler\u6578e\u3001\u865b\u6578i\u3001\u5713\u5468\u7387 \u3001\u4e58\u6cd5\u55ae\u4f4d\u5143\u7d201\u548c\u52a0\u6cd5\u55ae\u4f4d\u5143\u7d200\u7b49\u5b87\u5b99\u4e2d\u6700\u91cd\u8981\u7684\u5e7e\u500b\u5e38\u6578\u3002<\/p>\n<p>\u3000\u3000\u7136\u800c\uff0c\u6578\u5b78\u5f88\u7f8e\uff0c\u6578\u5b78\u4e5f\u5f88\u96e3\uff0c\u62bd\u8c61\u7684\u7b26\u865f\u7cfb\u7d71\u662f\u6578\u5b78\u300c\u51b7\u5cfb\u300d\u7684\u4e00\u9762\uff0c\u4e5f\u662f\u4e0d\u5c11\u4eba\u300c\u5bb3\u6015\u300d\u6578\u5b78\u7684\u6e90\u7531\u3002\u4e0d\u904e\uff0c\u53ea\u8981\u56de\u60f3\u5e7e\u4e16\u7d00\u524d\u7684\u6578\u5b78\u5bb6\u5011\u4ee5\u85dd\u8853\u770b\u5f85\u6578\u5b78\uff0c\u4e26\u8a8d\u70ba\u6578\u5b78\u80fd\u767c\u73fe\u9810\u6e2c\u5b87\u5b99\u898f\u5f8b\uff0c\u69ae\u8000\u5275\u9020\u842c\u7269\u7684\u4e0a\u5e1d\uff0c\u6216\u8a31\u300c\u51b7\u5cfb\u300d\u5c31\u53ea\u662f\u771f\u7406\u4e4b\u9580\u524d\u7684\u5927\u7406\u77f3\u96d5\u50cf\uff0c\u8981\u4eba\u5011\u5fc3\u61f7\u656c\u8654\u800c\u8b19\u905c\u3002\u81f3\u65bc\u5584\uff0c\u6578\u5b78\u5728\u6240\u4e0d\u554f\uff0c\u6240\u4ee5\u6578\u5b78\u300c\u53ef\u80fd\u7121\u76ca\uff0c\u4f46\u7d55\u5c0d\u7121\u5bb3\u300d\u3002\u62ff\u8457\u7d19\u7b46\uff0c\u8b93\u5fc3\u9748\u4f9d\u5faa\u8457\u76f4\u89ba\u524d\u9032\uff0c\u900f\u904e\u908f\u8f2f\u4e00\u6b65\u6b65\u6574\u7406\u8db3\u8de1\uff0c\u76f4\u81f3\u771f\u7406\u4e4b\u9580\uff0c\u591a\u9ebc\u81ea\u7531\u8207\u548c\u5e73\uff01<\/p>\n<figure style=\"width: 448px\" class=\"wp-caption alignright\"><a href=\"http:\/\/www.flickr.com\/photos\/jack_tt_lee\/2440946910\/sizes\/z\/in\/photostream\/\"><img decoding=\"async\" class=\" \" title=\"\u5967\u65af\u9678\u7684\u963f\u8c9d\u723e\u50cf\" src=\"http:\/\/farm3.static.flickr.com\/2056\/2440946910_1497cb8916_z.jpg\" alt=\"\" width=\"448\" height=\"358\" \/><\/a><figcaption class=\"wp-caption-text\">\u5967\u65af\u9678\u7684\u963f\u8c9d\u723e\u50cf\u3002<\/figcaption><\/figure>\n<p>\u3000\u3000\u96d9\u4e3b\u4fee\u6578\u5b78\u7cfb\u5f8c\uff0c\u6211\u5f97\u4ee5\u6bd4\u8f03\u4e2d\u5b78\u6578\u5b78\u8207\u9ad8\u7b49\u6578\u5b78\u7684\u7570\u540c\u3002\u89e3\u984c\u662f\u6578\u5b78\u7684\u6838\u5fc3\uff0c\u4e2d\u5b78\u6578\u5b78\u8457\u91cd\u8a08\u7b97\uff0c\u984c\u610f\u3001\u689d\u4ef6\u8207\u7b54\u6848\u660e\u78ba\uff0c\u53ea\u8981\u770b\u6e05\u4e00\u5169\u500b\u300c\u7709\u89d2\u300d\u52a0\u4e0a\u4e9b\u8a31\u8010\u5fc3\u5373\u53ef\u99d5\u8f15\u5c31\u719f\u3002\u9ad8\u7b49\u6578\u5b78\u5247\u8457\u91cd\u8b49\u660e\uff0c\u900f\u904e\u5404\u7a2e\u6578\u5b78\u7d50\u69cb\u7684\u7d30\u81a9\u5206\u6790\u4f86\u300c\u4e00\u7db2\u6253\u76e1\u300d\u76f8\u95dc\u554f\u984c\u3002\u4f8b\u5982\u70ba\u4e86\u8655\u7406\u6975\u503c\u554f\u984c\uff0c\u4e2d\u5b78\u6578\u5b78\u767c\u5c55\u51fa\u7b97\u5e7e\u4e0d\u7b49\u5f0f\u53ca\u67ef\u897f\u4e0d\u7b49\u5f0f\uff0c\u4f46\u53ea\u80fd\u8655\u7406\u4e00\u5c0f\u985e\u554f\u984c\u3002\u5fae\u5206\u5b78\u7684\u6975\u503c\u6aa2\u5b9a\u6cd5\uff0c\u5247\u5e7e\u4e4e\u80fd\u8655\u7406\u5404\u7a2e\u6975\u503c\u554f\u984c\u3002\u4e0d\u904e\u4e8b\u5be6\u4e0a\uff0c\u4e0d\u8ad6\u5728\u4e2d\u5b78\u6216\u5927\u5b78\uff0c\u985e\u63a8\u6bd4\u8f03\u3001\u4ee5\u7c21\u5fa1\u7e41\u53ca\u5206\u985e\u5316\u7d04\u4e00\u76f4\u662f\u6211\u5011\u8655\u7406\u6578\u5b78\u554f\u984c\u7684\u57fa\u672c\u601d\u7dad\uff0c\u53ea\u662f\u9ad8\u7b49\u6578\u5b78\u9700\u8981\u66f4\u7d30\u81a9\u7684\u89c0\u5bdf\u3001\u66f4\u795e\u5999\u7684\u5de7\u601d\u4ee5\u53ca\u66f4\u7e41\u8907\u7684\u904b\u7b97\u3002\u4ee5\u985e\u63a8\u6bd4\u8f03\u70ba\u4f8b\uff0cFourier\u7d1a\u6578\u4e2d\u7684Parseval\u7b49\u5f0f\u662f\u4e2d\u5b78\u7562\u5f0f\u5b9a\u7406\u7684\u985e\u63a8\uff0c\u7136\u800c\uff0c\u985e\u63a8\u7684\u904e\u7a0b\u7d55\u5c0d\u662f\u6578\u5b78\u5bb6\u5011\u5145\u6eff\u632b\u6298\u7684\u596e\u9b25\u53f2\u3002<\/p>\n<p>\u3000\u3000\u70ba\u4ec0\u9ebc\u9ad8\u7b49\u6578\u5b78\u9700\u8981\u66f4\u591a\u596e\u9b25\uff1f\u539f\u56e0\u5728\u65bc\u300c\u9762\u5c0d\u7121\u7aae\u300d\u4e26\u300c\u99b4\u670d\u7121\u7aae\u300d\u662f\u9ad8\u7b49\u6578\u5b78\u6c38\u6046\u7684\u4efb\u52d9\u3002\u4ee5\u7a4d\u5206\u5b78\u70ba\u4f8b\uff0c\u70ba\u4e86\u8a08\u7b97\u66f2\u5f62\u9762\u7e3e\uff08\u5982\u6a62\u5713\u9762\u7a4d\uff09\uff0c\u7531\u65bc\u7dda\u5f62\u3002\u9762\u7a4d\uff08\u5982\u77e9\u5f62\u9762\u7a4d\uff09\u8a08\u7b97\u5bb9\u6613\uff0c\u900f\u904e\u4ee5\u7c21\u5fa1\u7e41\u7684\u601d\u7dad\uff0c\u6211\u5011\u6703\u7528\u6578\u500b\u7dda\u5f62\u9762\u7a4d\u7684\u7e3d\u548c\u53bb\u300c\u903c\u8fd1\u300d\u66f2\u5f62\u9762\u7a4d\uff0c\u518d\u8ad6\u8b49\u7576\u7dda\u5f62\u8d8a\u4f86\u8d8a\u591a\uff0c\u5247\u6240\u6709\u7dda\u5f62\u9762\u7a4d\u7684\u7e3d\u548c\u6703\u300c\u7b49\u65bc\u300d\u66f2\u5f62\u9762\u7a4d\uff0c\u800c\u975e\u903c\u8fd1\u3002\u4ee5\u4e0a\u8ad6\u8b49\u7684\u95dc\u9375\u8655\u662f\u300c\u7121\u7aae\u904e\u7a0b\u300d\uff0c\u4ea6\u5373\u300c\u5f9e\u6709\u7aae\u5230\u7121\u7aae\u7684\u98db\u8e8d\u300d\u5982\u4f55\u6210\u7acb\uff01\u6578\u5b78\u53f2\u544a\u8a34\u6211\u5011\uff0c\u5f9e\u53e4\u5e0c\u81d8\u6642\u4ee3\u5c31\u6709\u300c\u7121\u7aae\u7684\u6050\u61fc\u300d\uff0c\u800c\u8fd1\u73fe\u4ee3\uff0c\u7121\u7aae\u7d1a\u6578\u7684\u6536\u6582\u6027\u662f\u5206\u6790\u5b78\u7684\u57fa\u672c\u554f\u984c\uff0c\u7121\u7aae\u7684\u5206\u985e\u5247\u8c50\u5bcc\u4e86\u62d3\u6a38\u5b78\uff0c\u8a31\u591a\u7531\u7121\u7aae\u7522\u751f\u7684\u6096\u8ad6\u4e00\u76f4\u662f\u60f1\u4eba\u800c\u91cd\u8981\u7684\u6578\u5b78\u554f\u984c\uff0c\u76f4\u5230\u5169\u5343\u591a\u5e74\u5f8c\uff0c\u672c\u4e16\u7d00\u516d\u3007\u5e74\u4ee3\u7684\u975e\u6a19\u6e96\u5206\u6790\u5b78\u624d\u771f\u6b63\u99b4\u670d\u7121\u7aae\u3002<\/p>\n<p><strong>\u6211\u7684\u6578\u5b78\u601d\u60f3\u53f2<\/strong><\/p>\n<p>\u3000\u3000\u7336\u8a18\u5f97\u90a3\u5929\u65e9\u6668\u5929\u6c23\u6674\u6717\uff0c\u5728\u65b0\u6578101\u6559\u5ba4\uff0c\u6797\u7d39\u96c4\u8001\u5e2b\u8b49\u660e\u9ad8\u7b49\u5fae\u7a4d\u5206\u7684Heine-Borel\u5b9a\u7406\u3002\u7576\u8b49\u660e\u5beb\u5b8c\u5f8c\uff0c\u6211\u611f\u52d5\u5230\u4e0d\u53ef\u81ea\u7981\u5730\u9a5a\u547c\uff1a\u300c\u4eba\u985e\u600e\u9ebc\u60f3\u5f97\u51fa\u4f86\uff01\u300d\u800c\u4e14\uff0c\u8001\u5e2b\u8aaa\u6578\u5b78\u754c\u82b1\u4e86\u4e09\u5341\u5e74\u624d\u767c\u73fe\u4e26\u8b49\u660e\u9019\u500b\u5b9a\u7406\u3002\u90a3\u6642\uff0c\u6211\u544a\u8a34\u81ea\u5df1\uff0c\u4e00\u5b9a\u8981\u767c\u6398\u9019\u4e09\u5341\u5e74\u4f86\u6578\u5b78\u5bb6\u5011\u63a2\u7d22\u7684\u904e\u7a0b\uff0c\u56e0\u70ba\u4eba\u985e\u6311\u6230\u4e86\u770b\u4f3c\u4e0d\u53ef\u80fd\u7684\u4e8b\u7269\u3002\u70ba\u6b64\uff0c\u6211\u958b\u59cb\u7814\u8b80\u6578\u5b78\u53f2\uff0c\u5148\u53cd\u601d\u5fae\u7a4d\u5206\u5b78\u7684\u767c\u5c55\uff0c\u767c\u73fe\u6559\u79d1\u66f8\u7684\u5167\u5bb9\u6b21\u5e8f\uff1a\u300c\u6975\u9650\u2192\u9023\u7e8c\u2192\u5fae\u5206\u2192\u7a4d\u5206\u300d\uff0c\u7adf\u7136\u8207\u6578\u5b78\u53f2\u300c\u7a4d\u5206\u2192\u5fae\u5206\u2192\u9023\u7e8c\u2192\u6975\u9650\u300d\u7684\u767c\u5c55\u80cc\u9053\u800c\u884c\uff01\u6211\u610f\u8b58\u5230\u539f\u4f86\u6587\u7ae0\u66f8\u7c4d\u7684\u300c\u908f\u8f2f\u7406\u8def\u300d\uff08the way of logic\uff09\u8207\u6578\u5b78\u601d\u8003\u7684\u300c\u63a2\u7d22\u7406\u8def\u300d\uff08the way of discovery\uff09\u53ef\u4ee5\u5982\u6b64\u4e0d\u540c\u3002\u7576\u7136\uff0c\u908f\u8f2f\u7406\u8def\u76f4\u63a5\u660e\u5feb\uff0c\u50cf\u98df\u8b5c\u4e00\u6a23\uff0c\u5b78\u7fd2\u8005\u4e00\u6b65\u6b65\u7167\u505a\u5373\u53ef\uff0c\u4f46\u7f3a\u9ede\u662f\u5e38\u5e38\u89ba\u5f97\u300c\u5929\u5916\u98db\u4f86\u4e00\u7b46\u300d\u3002\u81f3\u65bc\u63a2\u7d22\u7406\u8def\uff0c\u845b\u5146\u5149\u5148\u751f\u7684\u300a\u4e2d\u570b\u601d\u60f3\u53f2\u300b\u7d66\u6211\u4e0d\u5c11\u6307\u5f15\uff0c\u4ed6\u8a8d\u70ba\u5728\u601d\u60f3\u53f2\u7814\u7a76\u4e2d\uff0c\u5c55\u73fe\u77e5\u8b58\u7a4d\u7d2f\u8207\u767c\u5c55\u7684\u300c\u52a0\u6cd5\u300d\u56fa\u7136\u91cd\u8981\uff0c\u7136\u800c\uff0c\u627e\u56de\u601d\u60f3\u88ab\u522a\u6e1b\u96b1\u6c92\u7684\u300c\u6e1b\u6cd5\u300d\u66f4\u6709\u555f\u767c\u3002\u963f\u8c9d\u723e\uff08Niels Henrik Abel\uff09\u66fe\u5f62\u5bb9\u9ad8\u65af\uff08Carl Friedrich Gauss\uff09\u50cf\u4e00\u96bb\u72e1\u733e\u7684\u72d0\u72f8\uff0c\u5728\u6c99\u6f20\u4e0a\u4e00\u9762\u884c\u8d70\uff0c\u4e00\u9762\u7528\u5c3e\u5df4\u62b9\u6389\u8db3\u8de1\uff0c\u63a2\u7d22\u7406\u8def\u5c31\u662f\u300c\u91cd\u73fe\u300d\u88ab\u62b9\u53bb\u7684\u8db3\u8de1\uff0c\u9019\u5c31\u662f\u6211\u7684\u6578\u5b78\u5922\uff0c\u6211\u7684\u300c\u6578\u5b78\u601d\u60f3\u53f2\u300d\uff01<\/p>\n<p>\u3000\u3000\u65bc\u662f\uff0c\u6211\u6c7a\u5b9a\u5831\u8003\u6578\u5b78\u7814\u7a76\u6240\uff0c\u4e0d\u5c11\u4eba\u95dc\u5fc3\u6211\uff0c\u63d0\u9192\u6cd5\u5f8b\u7cfb\u51fa\u8def\u8f03\u70ba\u5bec\u5ee3\u3002\u4e0d\u904e\uff0c\u6216\u8a31\u53d7\u5230\u5f71\u7247\u300a\u7df4\u7fd2\u66f2\u300b\u4e2d\u90a3\u53e5\u8a71\u7684\u9f13\u821e\uff1a\u300c\u6709\u4e9b\u4e8b\u73fe\u5728\u4e0d\u505a\uff0c\u4ee5\u5f8c\u4e5f\u4e0d\u6703\u505a\u4e86\uff01\u300d\u6211\u76f8\u4fe1\uff0c\u8d70\u4e0a\u6578\u5b78\u4e4b\u8def\u7684\u6c7a\u65b7\uff0c\u6211\u4e0d\u6703\u5f8c\u6094\u3002<\/p>\n<p>\u3000\u3000\u5c31\u8b80\u6578\u5b78\u7814\u7a76\u6240\u90a3\u5169\u5e74\uff0c\u6211\u4e0d\u518d\u64c1\u6709\u6cd5\u5f8b\u8207\u6578\u5b78\u7684\u300c\u96d9\u91cd\u8eab\u4efd\u300d\uff0c\u6211\u5fc5\u9808\u5b8c\u5168\u737b\u8eab\u5728\u300c\u5178\u7bc4\u300d\u4e2d\u3002\u6211\u7684\u78a9\u58eb\u8ad6\u6587\u4ee5\u751f\u614b\u5b78\u4e0a\u7684\u53cd\u61c9\u64f4\u6563\u65b9\u7a0b\u70ba\u4e3b\u984c\uff0c\u5979\u662f\u4e00\u4efd\u4e0d\u932f\u7684\u6587\u737b\u56de\u9867\uff0c\u56e0\u70ba\u6211\u76e1\u53ef\u80fd\u4ee5\u63a2\u7d22\u7406\u8def\u7684\u65b9\u5f0f\u5448\u73fe\uff0c\u96d6\u7136\u6211\u66fe\u52aa\u529b\uff0c\u60f3\u8981\u767c\u73fe\u5c6c\u65bc\u81ea\u5df1\u7684\u547d\u984c\u8207\u8b49\u660e\u3002\u5728\u78a9\u58eb\u968e\u6bb5\uff0c\u6211\u6df1\u523b\u9ad4\u6703\u5230\u300c\u7814\u8b80\u6578\u5b78\u300d\u8ddf\u300c\u7814\u7a76\u6578\u5b78\u300d\u662f\u5169\u56de\u4e8b\uff0c\u4ee5\u53ca\u7814\u7a76\u6578\u5b78\u601d\u60f3\u53f2\u4e4b\u524d\uff0c\u5fc5\u9808\u5148\u7cbe\u901a\u6578\u5b78\u3002<\/p>\n<p>\u3000\u3000\u5922\u60f3\u4e4b\u8def\u4e0a\u6709\u6642\u82b1\u6735\u7e7d\u7d1b\uff0c\u6709\u6642\u834a\u68d8\u574e\u5777\uff0c\u4f46\u6211\u7684\u795e\uff0c\u6211\u7684\u6578\u5b78\u5922\u5f15\u9818\u6211\uff0c\u5373\u4f7f\u8ff7\u9727\u91cd\u91cd\uff0c\u6211\u4ecd\u80fd\u5927\u6b65\u524d\u884c\u3002\u5982\u4eca\u6211\u5728\u670d\u5175\u5f79\uff0c\u9000\u4f0d\u5f8c\u5373\u5c07\u53bb\u67cf\u6797\u81ea\u7531\u5927\u5b78\u53c3\u52a0\u6578\u5b78\u535a\u58eb\u73ed\u9762\u8a66\u3002\u672a\u4f86\u5145\u6eff\u53ef\u80fd\u6027\uff0c\u800c\u6211\u9084\u5e74\u8f15\uff01<\/p>\n<p>\u3000\u3000<\/p>\n<p><strong>\u4f5c\u8005\u7c21\u4ecb<\/strong><\/p>\n<p style=\"padding-left: 30px;\">\u6234\u4f73\u539f\uff0c\u53f0\u7063\u5927\u5b78\u6cd5\u5f8b\u7cfb\u6cd5\u5b78\u7d4492\u7d1a\uff0c\u53f0\u7063\u5927\u5b78\u6578\u5b78\u7814\u7a76\u6240\u7562\u3002<\/p>\n<p style=\"padding-left: 30px;\">\u4ed6\u7684\u81ea\u8ff0\uff1a\u300c\u53bb\u5e74\u65b0\u8a13\uff0c\u5e38\u5e38\u5f97\u5728\u5609\u7fa9\u7684\u7f8e\u9e97\u5915\u7167\u4e0b\uff0c\u5168\u526f\u6b66\u88dd\u6301\u69cd\u8085\u7ad9\u91cd\u8986\u80cc\u980c\u570b\u8ecd\u6e96\u5247\uff0c\u800c\u90a3\u6642\uff0c\u6211\u7684\u5fc3\u4e2d\u662f\u6eff\u6eff\u5730\u6e34\u671b\u7559\u5b78\u5fb7\u570b\u3001\u9435\u99ac\u74b0\u7403\u8207\u7576\u597d\u7238\u7238\u3002\u300d<\/p>\n<p><span style=\"color: #003366;\"><strong>\u8cac\u4efb\u7de8\u8f2f\uff1aMissZoe<\/strong><\/span><\/p>\n<pre><span style=\"color: #333333;\">\u672c\u6587\u70baCASE\u5c08\u984c\u300c<a title=\"\u6211\u7684\u6578\u5b78\u5922\u5168\u90e8\u6587\u7ae0\u5217\u8868\" href=\"http:\/\/case.ntu.edu.tw\/blog\/?tag=%E6%88%91%E7%9A%84%E6%95%B8%E5%AD%B8%E5%A4%A2\" target=\"_self\"><span style=\"color: #333333;\">\u6211\u7684\u6578\u5b78\u5922<\/span><\/a><span style=\"color: #333333;\">\u300d\u9023\u8f09\u7b2c\u4e09\u7bc7<\/span><\/span><span style=\"color: #333333;\">\u3002<\/span><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u25a0 \u300c\u6709\u4e9b\u4e8b\u73fe\u5728\u4e0d\u505a\uff0c\u4ee5\u5f8c\u4e5f\u4e0d\u6703\u505a\u4e86\uff01\u300d<\/p>\n","protected":false},"author":20,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[691,3293],"tags":[210,2254,2251],"aioseo_notices":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/8683"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8683"}],"version-history":[{"count":24,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/8683\/revisions"}],"predecessor-version":[{"id":16171,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/8683\/revisions\/16171"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8683"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8683"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8683"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}