{"id":34670,"date":"2019-11-26T00:50:27","date_gmt":"2019-11-25T16:50:27","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=34670"},"modified":"2020-01-03T13:33:31","modified_gmt":"2020-01-03T05:33:31","slug":"%e3%80%90%e6%8e%a2%e7%b4%a222-1%e3%80%91%e8%a8%88%e7%ae%97%e7%9a%84%e6%ad%b7%e5%8f%b2%e7%b8%b1%e6%b7%b1","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=34670","title":{"rendered":"\u3010\u63a2\u7d2222-1\u3011\u8a08\u7b97\u7684\u6b77\u53f2\u7e31\u6df1"},"content":{"rendered":"<p><strong><span style=\"color: #333399;\">\u5728\u9019\u4e00\u500b\u4e16\u7d00\u4e2d\uff0c\u8a08\u7b97\u6709\u8df3\u8e8d\u6027\u7684\u9032\u5c55\uff0c\u5c0d\u4eba\u985e\u6587\u660e\u7522\u751f\u5341\u5206\u5de8\u5927\u7684\u5f71\u97ff\u3002\u5728\u4eba\u985e\u6f2b\u9577\u7684\u6b77\u53f2\u88e1\uff0c\u8a08\u7b97\u5982\u4f55\u5f9e\u53e4\u4ee3\u61f5\u61f5\u61c2\u61c2\u7684\u64cd\u4f5c\u7d93\u9a57\uff0c\u6162\u6162\u63d0\u5347\u5230\u4e86\u89e3\u5230\u5b83\u7684\u672c\u8cea\uff0c\u9010\u6f38\u5f9e\u6578\u5b78\u88e1\u5206\u5316\u51fa\u4f86\uff0c\u6709\u81ea\u5df1\u7814\u7a76\u7684\u76ee\u6a19\u3001\u65b9\u6cd5\uff0c\u4f5c\u70ba\u4e00\u500b\u6210\u719f\u7684\u77e5\u8b58\u9818\u57df\u3002\u674e\u570b\u5049\u6559\u6388\u5f9e\u8edf\u9ad4\u3001\u786c\u9ad4\u96d9\u65b9\u7684\u767c\u5c55\u4f86\u770b\u8a08\u7b97\u5982\u4f55\u5f9e\u6578\u5b78\u9010\u6f38\u6f14\u5316\u51fa\u4f86\u7684\u6b77\u7a0b\uff0c\u4ee5\u6a6b\u8cab\u6771\u897f\u6587\u660e\u7684\u89c0\u9ede\u770b\u5176\u6b77\u53f2\u7684\u7e31\u6df1\u3002<\/span><\/strong><\/p>\n<figure id=\"attachment_34672\" aria-describedby=\"caption-attachment-34672\" style=\"width: 450px\" class=\"wp-caption alignleft\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-34672\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2019\/11\/22-1s.jpg\" alt=\"\" width=\"450\" height=\"300\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2019\/11\/22-1s.jpg 600w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2019\/11\/22-1s-300x200.jpg 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><figcaption id=\"caption-attachment-34672\" class=\"wp-caption-text\">\u300a\u6a21\u4eff\u904a\u6232\u300b\u5287\u7167<\/figcaption><\/figure>\n<p><strong>\u8b1b\u8005\uff5c\u4e2d\u7814\u9662\u6578\u5b78\u7814\u7a76\u6240\u517c\u4efb\u7814\u7a76\u54e1 \u674e\u570b\u5049<\/strong><br \/>\n<strong>\u5f59\u6574\u64b0\u6587\uff5c\u4f55\u827e\u73b2<\/strong><\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf<\/strong><strong>\u5efa\u69cb\u6578\u5b78\u77e5\u8b58\u7684\u5169\u5927\u65b9\u5f0f\u2014\u2014\u8ad6\u8b49\u3001\u8a08\u7b97<\/strong><\/span><\/p>\n<p>\u6578\u5b78\u77e5\u8b58\u4e3b\u8981\u662f\u7531\u300c\u8ad6\u8b49\u300d\u8207\u300c\u8a08\u7b97\u300d\u7684\u65b9\u6cd5\u5efa\u69cb\u6210\u3002\u4eba\u985e\u53e4\u6587\u660e\u5f9e\u5169\u6cb3\u6d41\u57df\u5230\u57c3\u53ca\uff0c\u4eba\u5011\u767c\u89ba\u67d0\u4e9b\u5e7e\u4f55\u547d\u984c\u7684\u771f\u78ba\u6027\u662f\u7121\u5eb8\u7f6e\u7591\u7684\uff0c\u65bc\u662f\u4f5c\u70ba\u63a8\u5c0e\u5176\u4ed6\u770b\u4f3c\u8907\u96dc\u547d\u984c\u7684\u8d77\u9ede\uff0c\u4e26\u4ee5\u9019\u7a2e\u601d\u7dad\u767c\u5c55\u51fa\u516c\u7406\u6cd5\u7684\u8ad6\u8b49\u65b9\u5f0f\u3002<\/p>\n<p>\u5728\u897f\u5143\u524d300\u5e74\uff0c\u6b50\u5e7e\u91cc\u5f97\uff08Euclid\uff09\u5c07\u904e\u53bb\u4eba\u5011\u8c50\u78a9\u7684\u601d\u60f3\uff0c\u7d71\u6574\u51fa\u7e1d\u5bc6\u7684\u908f\u8f2f\u7cfb\u7d71\uff0c\u5beb\u9032\u300a\u5e7e\u4f55\u539f\u672c\u300b\uff08<em>Elements<\/em>\uff09\u4e2d\u3002\u9019\u672c\u8457\u4f5c\u6210\u70ba\u897f\u65b9\u77e5\u8b58\u767c\u5c55\u7684\u91cd\u8981\u57fa\u77f3\uff0c\u5728\u8fd1\u4ee3\u4ecd\u7136\u767c\u63ee\u5b83\u6df1\u9060\u7684\u5f71\u97ff\u529b\uff0c\u50cf\u662f\u53f2\u8cd3\u8afe\u6c99\uff08Baruch de Spinoza\uff09\u7684\u300a\u502b\u7406\u5b78\u300b\uff08<em>Ethica Ordine Geometrico Demonstrata<\/em>\uff09\u3001\u725b\u9813\u7684\u300a\u81ea\u7136\u54f2\u5b78\u7684\u6578\u5b78\u539f\u7406\u300b\uff08<em>Philosophi\u00e6 Naturalis Principia Mathematica<\/em>\uff09\u3001\u7f8e\u570b\u300a\u7368\u7acb\u5ba3\u8a00\u300b\u90fd\u662f\u53c3\u7167\u300a\u5e7e\u4f55\u539f\u672c\u300b\u516c\u7406\u6cd5\u5beb\u6210\u7684\u3002<\/p>\n<p>1820\u5e74\uff0c\u4f3d\u7f85\u74e6\uff08\u00c9variste Galois\uff09\u767c\u5c55\u300c\u7fa4\u300d\u8207\u300c\u6709\u9650\u9ad4\u300d\u7b49\u6982\u5ff5\uff0c\u7528\u7d50\u69cb\u6027\u7684\u8ad6\u8b49\u5f97\u5230\u591a\u9805\u5f0f\u53ef\u7528\u6839\u5f0f\u89e3\u7684\u5145\u8981\u689d\u4ef6\uff0c\u4ee5\u66f4\u9ad8\u5c64\u6b21\u4f86\u770b\u5f85\u6578\u5b78\u7684\u7d50\u69cb\uff0c\u6210\u70ba\u6578\u5b78\u53f2\u4e0a\u91cd\u8981\u7684\u5206\u6c34\u5dba\uff0c\u63a8\u7406\u8ad6\u8b49\u6210\u70ba\u6578\u5b78\u7684\u4e3b\u6d41\u3002\u523019\u300120\u4e16\u7d00\u6700\u5177\u5f71\u97ff\u529b\u7684\u6578\u5b78\u5bb6\u2014\u2014\u5e0c\u723e\u4f2f\u7279\uff08David Hilbert\uff09\u5de7\u5999\u6df1\u523b\u7684\u5b58\u5728\u6027\u8b49\u660e\uff0c\u5c07\u8ad6\u8b49\u6578\u5b78\u5e36\u4e0a\u9ad8\u5cf0\uff0c\u9818\u5c0e\u6574\u500b20\u4e16\u7d00\u6578\u5b78\u7684\u767c\u5c55\u3002\u7136\u800c\uff0c\u9019\u4e5f\u4f7f\u5f97\u8a08\u7b97\u65b9\u6cd5\u5728\u6f2b\u9577\u7684\u6b72\u6708\u53d7\u5230\u8cb6\u4f4e\u3002<\/p>\n<p>\u6bcf\u7a2e\u5b78\u8853\u65b9\u6cd5\u90fd\u5404\u6709\u5404\u500b\u7684\u5b58\u5728\u7684\u50f9\u503c\u8207\u610f\u7fa9\u3002\u8a08\u7b97\u4f5c\u70ba\u5efa\u69cb\u6578\u5b78\u77e5\u8b58\u7684\u65b9\u5f0f\u5118\u7ba1\u5728\u904e\u53bb\u88ab\u8f15\u8996\uff0c\u4f46\u5728\u4eba\u985e\u6587\u660e\u7684\u767c\u5c55\u4e0a\u4f54\u6709\u4e00\u5e2d\u4e4b\u5730\u3002\u5b83\u7684\u8d77\u6e90\u9060\u9060\u65e9\u65bc\u8ad6\u8b49\uff0c\u672c\u8eab\u4eba\u985e\u5c0d\u91cf\u7684\u8655\u7406\u5c31\u662f\u300c\u8a08\u7b97\u300d\u3002\u8a08\u7b97\u53ef\u8996\u70ba\u7531\u4e09\u5927\u8981\u7d20\u300c\u7b97\u6cd5\u300d\u3001\u300c\u8868\u5fb5\u300d\u3001\u300c\u5de5\u5177\u300d\u6240\u7d44\u6210\u3002<\/p>\n<p><strong>-\u7b97\u6cd5<\/strong><\/p>\n<p>\u7b97\u6cd5\uff08algorithm\uff09\u662f\u4e00\u7d44\u660e\u78ba\u7684\u898f\u5247\uff0c\u7d66\u51fa\u4e00\u7cfb\u5217\u64cd\u4f5c\u5f8c\uff0c\u5f97\u4ee5\u89e3\u6c7a\u7279\u5b9a\u985e\u578b\u7684\u554f\u984c\u3002\u5177\u6709\u9650\u6027\u3001\u6e05\u6670\u6027\u3001\u6709\u6548\u6027\u3001\u8f38\u5165\u8f38\u51fa\u7684\u7279\u5fb5\u3002<\/p>\n<p>\u300a\u5e7e\u4f55\u539f\u672c\u300b\u662f\u8ad6\u8b49\u6578\u5b78\u7684\u7d93\u5178\u8457\u4f5c\uff0c\u4f46\u5176\u4e2d\u4e5f\u5305\u542b\u4e86\u53e4\u4ee3\u6700\u5177\u4ee3\u8868\u6027\u7684\u7b97\u6cd5\u2014\u2014\u8f3e\u8f49\u76f8\u9664\u6cd5\uff08\u6b50\u5e7e\u91cc\u5f97\u7b97\u6cd5\uff09\u4f86\u6c42\u5f97\u6700\u5927\u516c\u56e0\u6578\u3002\u5728\u4e2d\u570b\u53e4\u4ee3\u6578\u5b78\u88e1\uff0c\u4e5f\u6709\u672c\u8cea\u5b8c\u5168\u4e00\u6a23\u7684\u300c\u66f4\u76f8\u6e1b\u640d\u6cd5\u300d\uff0c\u6700\u65e9\u88ab\u8a18\u8f09\u5728\u897f\u6f22\u554f\u4e16\u7684\u300a\u7b6d\u6578\u66f8\u300b\u4e2d\uff1a<\/p>\n<p><strong>\u300c\u7d04\u5206\u8853\u66f0\uff1a\u4ee5\u5b50\u9664\u6bcd\uff0c\u6bcd\u4ea6\u9664\u5b50\uff0c\u5b50\u3001\u6bcd\uf969\u4ea4\u7b49\u8005\uff0c\u5373\u7d04\u4e4b\u77e3\u3002\u6709\u66f0\uff1a\u7d04\u5206\u8853\u66f0\uff1a\u53ef\u534a\uff0c\u534a\u4e4b\u3002\u53ef\uf9a8\uf974\u5e72\u4e00\u3001\uf974\u5e72\u4e00\u3002\u5176\u4e00\u8853\u66f0\uff1a\u4ee5\u5206\u5b50\u9664\u6bcd\uff0c\u5c11\uff0c\u4ee5\u6bcd\u9664\u5b50\uff0c\u5b50\u3001\u6bcd\u7b49\uff0c\u4ee5\u70ba\u6cd5\u3002\u5b50\u3001\u6bcd\u5404\u5982\u6cd5\u800c\u6210\u4e00\u3002\uf967\u8db3\u9664\u8005\u53ef\u534a\uff0c\u534a\u6bcd\u4ea6\u534a\u5b50\u3002\u300d<\/strong><\/p>\n<p>\u53e6\u4e00\u672c\u6771\u6f22\u7684\u8457\u4f5c\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u4e5f\u63d0\u5230\u7d04\u5206\u8853\uff0c\u672c\u8cea\u8ddf\u524d\u5169\u8005\u5b8c\u5168\u4e00\u81f4\u3002<\/p>\n<p><strong>\u300c\u7d04\u5206\u8853\u66f0\uff1a\u53ef\u534a\u8005\u534a\u4e4b\uff1b\uf967\u53ef\u534a\u8005\uff0c\u526f\u7f6e\u5206\u6bcd\u3001\u5b50\u4e4b\uf969\uff0c\u4ee5\u5c11\u6e1b\u591a\uff0c\uf901\u76f8\u6e1b\u640d\uff0c\u6c42\u5176\u7b49\u4e5f\u3002\u4ee5\u7b49\uf969\u7d04\u4e4b\u3002\u300d<\/strong><\/p>\n<p>\u9019\u672c\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u662f\u4e2d\u570b\u53e4\u4ee3\u6578\u5b78\u6700\u91cd\u8981\u7684\u8457\u4f5c\u3002\u4e09\u570b\u6642\u4ee3\uff0c\u9b4f\u570b\u6578\u5b78\u5bb6\u5289\u5fbd\u70ba\u9019\u672c\u8457\u4f5c\u6ce8\u89e3\uff0c\u4ed6\u4e0d\u50c5\u5f97\u51fa\u5713\u5468\u7387\u7684\u8fd1\u4f3c\u503c\u70ba3.1416\uff0c\u4e5f\u7528\u300c\u51fa\u5165\u76f8\u88dc\u8853\u300d\u8b49\u660e\u4e86\u7562\u6c0f\u5b9a\u7406\u3002\u96d6\u7136\u5289\u5fbd\u6c92\u6709\u767c\u5c55\u51fa\u50cf\u6b50\u5e7e\u91cc\u5f97\u90a3\u5957\u56b4\u5bc6\u7684\u908f\u8f2f\u7cfb\u7d71\uff0c\u4f46\u4ecd\u7136\u5728\u4ed6\u7684\u8457\u4f5c\u4e2d\u770b\u898b\u4e2d\u570b\u6578\u5b78\u5b8c\u6574\u7684\u601d\u60f3\u8108\u7d61\u3002\u53e4\u4ee3\u4e2d\u570b\u6578\u5b78\u5e38\u4ee5\u300c\u554f\u984c\u96c6\u300d\u7684\u65b9\u5f0f\u5448\u73fe\u5176\u6210\u679c\uff0c\u4f9d\u5e8f\u7528\u9019\u4e94\u689d\u9805\u76ee\u4f86\u8868\u9054\uff1a<\/p>\n<ol>\n<li>\u554f\uff0c\u5f88\u5177\u9ad4\u7684\u5e36\u8457\u6578\u64da\u7684\u554f\u984c\u3002<\/li>\n<li>\u7b54\uff0c\u7d66\u51fa\u9019\u500b\u554f\u984c\u7684\u6578\u5b57\u89e3\u3002<\/li>\n<li>\u8853\uff0c\u5f97\u51fa\u7b54\u6848\u7684\u65b9\u6cd5\uff0c\u4e5f\u5c31\u662f\u300c\u7b97\u6cd5\u300d\u3002<\/li>\n<li>\u6ce8\uff0c\u89e3\u91cb\u524d\u4eba\u7b97\u6cd5\u70ba\u4f55\u662f\u5c0d\u7684\uff0c\u5448\u73fe\u4e00\u5957\u601d\u60f3\u8108\u7d61\u3002<\/li>\n<li>\u8349\uff0c\u5728\u5b8b\u671d\u4e4b\u5f8c\u52a0\u4e86\u6f14\u7b97\u904e\u7a0b\u7684\u7d30\u7bc0\u3002<\/li>\n<\/ol>\n<p><strong>-\u8868\u5fb5<\/strong><\/p>\n<p>\u8868\u5fb5\uff08representation\uff09\u5c31\u662f\u5728\u8a08\u7b97\u7684\u904e\u7a0b\u4e2d\u6709\u8f38\u5165\u8ddf\u8f38\u51fa\uff0c\u5728\u8166\u4e2d\u62bd\u8c61\u7684\u6982\u5ff5\u5fc5\u9808\u8f49\u5316\u6210\u5177\u9ad4\u7684\u5f62\u8c61\u4f86\u4ee3\u8868\uff0c\u4f5c\u70ba\u53ef\u4ee5\u8b93\u4eba\u5f7c\u6b64\u6e9d\u901a\u7684\u5be6\u50cf\u3002\u8868\u5fb5\u7d93\u904e\u6f2b\u9577\u6b72\u6708\u7684\u6f14\u8b8a\u6f38\u6f38\u8b8a\u5f97\u62bd\u8c61\u3001\u8907\u96dc\uff0c\u73fe\u5728\u5e7e\u4e4e\u4efb\u4f55\u6771\u897f\u90fd\u53ef\u4ee5\u900f\u904e\u9069\u7576\u7684\u8868\u5fb5\uff0c\u4e00\u5c64\u4e00\u5c64\u7684\u5316\u70ba\u8868\u5fb5\u8a08\u7b97\u6700\u57fa\u672c\u5c0d\u8c61\u300c\u6578\u300d\u3002\u518d\u900f\u904e\u6578\u5b57\u7684\u7de8\u78bc\uff08coding\uff09\uff0c\u53ef\u4ee5\u91dd\u5c0d\u5404\u5f0f\u5404\u6a23\u7684\u5c0d\u8c61\u9032\u884c\u8a08\u7b97\u4f86\u89e3\u6c7a\u554f\u984c\uff0c\u50cf\u662f\u7269\u7406\u5b78\u4e2d\u7684\u554f\u984c\u7b49\u7b49\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u4e2d\u897f\u6587\u660e\u7684\u5408\u91d1\u8207\u8f1d\u6620\u2014\u2014\u5341\u9032\u4f4d\u3001\u4e8c\u9032\u4f4d<\/strong><\/span><\/p>\n<p>\u4e2d\u4e16\u7d00\u7684\u6b50\u6d32\u56e0\u70ba\u7d93\u6b77\u9ed1\u6697\u6642\u4ee3\uff0c\u79d1\u5b78\u767c\u5c55\u53d7\u5230\u5b97\u6559\u7684\u7b9d\u5236\u3002\u6b64\u5916\uff0c\u6578\u5b78\u7684\u767c\u5c55\u4e5f\u53d7\u5230\u5e0c\u81d8\u6578\u5b57\u7cfb\u7d71\u672c\u8eab\u7684\u9650\u5236\u800c\u505c\u6eef\u5f88\u9577\u4e00\u6bb5\u6642\u9593\uff0c\u4e00\u76f4\u5230\u6590\u6ce2\u90a3\u5951\uff08Leonardo Fibonacci\uff09\u57281202\u5e74\u51fa\u7248\u4e86\u300a\u8a08\u7b97\u4e4b\u66f8\u300b\uff08<em>Liber Abaci<\/em>\uff09\uff0c\u5f15\u9032\u5341\u9032\u4f4d\u5236\u7684\u5370\u5ea6\u6578\u5b57\u7cfb\u7d71\uff08123456789\uff09\u4ee5\u53ca0\u7684\u7b26\u865f\uff0c\u8b93\u6b50\u6d32\u793e\u6703\u6452\u68c4\u904e\u53bb\u50b3\u7d71\u7684\u7f85\u99ac\u6578\u5b57\uff0c\u5c0d\u5546\u696d\u3001\u91d1\u878d\u3001\u79d1\u5b78\u767c\u5c55\u7522\u751f\u6df1\u9060\u7684\u5f71\u97ff\u3002\u5728\u9019\u672c\u8457\u4f5c\u4e2d\u8a0e\u8ad6\u5230\u7684\u7b97\u6cd5\u3001\u7b97\u984c\uff0c\u5176\u4e2d\u50cf\u662f\uff1a\u5206\u6578\u52a0\u6cd5\u3001\u914d\u5206\u6bd4\u4f8b\u7b49\u8207\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u7684\u5167\u5bb9\u76f8\u4f3c\u3002\u9019\u80cc\u5f8c\u53ef\u80fd\u6697\u793a\u8457\u4e2d\u570b\u77e5\u8b58\u900f\u904e\u9019\u672c\u8457\u4f5c\u63a5\u679d\u5230\u6b50\u6d32\u7684\u6587\u660e\u767c\u5c55\u3002<\/p>\n<p>\u8fd1\u4ee3\u6b50\u6d32\u5f37\u76db\u7684\u6587\u5316\u767c\u5c55\u4e0d\u55ae\u55ae\u53ea\u662f\u9760\u81ea\u5df1\u7684\u529b\u91cf\u767c\u5c55\u8d77\u4f86\uff0c\u572812\u4e16\u7d00\u50b3\u905e\u8207\u4ea4\u878d\u7684\u6642\u4ee3\u4e2d\uff0c\u6b50\u6d32\u672c\u8eab\u7684\u6587\u5316\u8108\u7d61\u8207\u963f\u62c9\u4f2f\u3001\u5370\u5ea6\u3001\u4e2d\u570b\u7684\u6587\u5316\u7dca\u5bc6\u4ea4\u7e54\u6210\u591a\u80a1\u5408\u6210\u7684\u7e69\u5b50\uff0c\u69cb\u6210\u65b0\u6b50\u6d32\u7684\u5341\u5206\u5805\u5be6\u6838\u5fc3\uff0c\u63a8\u52d5\u4e0b\u500b\u6642\u4ee3\u7684\u79d1\u5b78\u9769\u547d\u8207\u5de5\u696d\u9769\u547d\u3002<\/p>\n<p>\u840a\u5e03\u5c3c\u8332\u81ea\u5df1\u767c\u5c55\u51fa\u5c0d\u65bc\u96fb\u8166\u8a08\u7b97\u5341\u5206\u91cd\u8981\u7684\u4e8c\u9032\u5236\u8a18\u6578\u6cd5\uff0c\u535a\u5b78\u591a\u805e\u7684\u4ed6\u5341\u5206\u666f\u4ef0\u4e2d\u570b\u6587\u5316\u3002\u7576\u6642\u5728\u4e2d\u570b\u7684\u8036\u7a4c\u6703\u6559\u58eb\u767d\u6649\uff08Joachim Bouvet\uff09\u5bc4\u4fe1\u7d66\u840a\u5e03\u5c3c\u8332\uff0c\u4ecb\u7d39\u4e2d\u570b\u5b78\u8853\u601d\u60f3\u4ee5\u53ca\u4e2d\u570b\u53f2\uff0c\u5176\u4e2d\u4ed6\u7279\u5225\u5f37\u8abf\u300a\u6613\u7d93\u300b\u9019\u672c\u8457\u4f5c\uff0c\u8a8d\u70ba\u5b83\u662f\u4e2d\u570b\u79d1\u5b78\u548c\u54f2\u5b78\u7684\u6e90\u982d\u30021701\u5e74\uff0c\u840a\u5e03\u5c3c\u8328\u5beb\u4fe1\u7d66\u767d\u6649\uff0c\u8a73\u7d30\u4ecb\u7d39\u4e86\u4ed6\u767c\u660e\u7684\u4e8c\u9032\u5236\u5f8c\uff0c\u767d\u6649\u56de\u4fe1\u7d66\u840a\u5e03\u5c3c\u8328\uff0c\u9644\u4e0a\u4e86\u300c\u4f0f\u7fb264\u5366\u65b9\u4f4d\u5716\u300d\u3002\u4ed6\u7684\u6167\u773c\u770b\u51fa\u4e2d\u570b\u53e4\u4ee3\u6578\u5b78\u4f9d\u5faa\u7684\u539f\u7406\u5c31\u662f\u840a\u5e03\u5c3c\u8328\u63d0\u51fa\u7684\u4e8c\u9032\u5236\uff0c\u6613\u5366\u4e2d\u7684\u967d\u723b\u300c\u2014\u300d\u6bd4\u4f5c\u4e8c\u9032\u5236\u4e2d\u7684\u300c1\u300d\uff1b\u628a\u9670\u723b\u300c\uff0d\uff0d\u300d\u6bd4\u4f5c\u300c0\u300d\u30021703\u5e74\uff0c\u840a\u5e03\u5c3c\u8328\u900f\u904e\u300a\u95dc\u65bc\u4e8c\u9032\u5236\u7b97\u8853\u7684\u8aaa\u660e\u4e26\u9644\u5176\u61c9\u7528\u4ee5\u53ca\u64da\u6b64\u89e3\u91cb\u53e4\u4ee3\u4e2d\u570b\u4f0f\u7fb2\u5716\u7684\u63a2\u8a0e\u300b\u9019\u7bc7\u8ad6\u6587\u5411\u6b50\u6d32\u793e\u6703\u95e1\u660e\u51fa\u6771\u897f\u6587\u5316\u601d\u60f3\u7684\u8f1d\u6620\u3002<\/p>\n<p><strong>-\u5de5\u5177<\/strong><\/p>\n<p>\u5de5\u5177\uff08tool\uff09\u662f\u5916\u5728\u7684\u5a92\u4ecb\uff0c\u900f\u904e\u9019\u4e9b\u5de5\u5177\u5e6b\u6211\u5011\u8655\u7406\u8a08\u7b97\u3002\u897f\u5143\u524d300\u5e74\uff0c\u5df4\u6bd4\u502b\u4eba\u5df2\u7d93\u958b\u59cb\u4f7f\u7528\u5927\u7406\u77f3\u88fd\u7684\u7b97\u677f\uff1b\u5370\u52a0\u4eba\u5229\u7528\u7d50\u7e69\uff08khipu\uff09\u4f86\u8a08\u6578\uff1b\u53e4\u7f85\u99ac\u4e5f\u66fe\u51fa\u73fe\u904e\u91d1\u5c6c\u7b97\u76e4\u3002\u4e2d\u570b\u53e4\u4ee3\u904b\u7528\u7b97\u7c4c\u4f86\u8a08\u7b97\uff0c\u81f3\u65bc\u4e2d\u570b\u7b97\u76e4\u51fa\u73fe\u7684\u6642\u9593\u76ee\u524d\u9084\u6709\u722d\u8ad6\u3002\u4e00\u76f4\u5230\u660e\u671d\u4e2d\u84491592\u5e74\uff0c\u7a0b\u5927\u4f4d\u64b0\u7684\u300a\u76f4\u6307\u7b97\u6cd5\u7d71\u5b97\u300b\u96c6\u73e0\u7b97\u4e4b\u5927\u6210\uff0c\u4f7f\u5f97\u73e0\u7b97\u76e4\u5728\u6c11\u9593\u5ee3\u70ba\u6d41\u50b3\uff0c\u5f9e\u6b64\u53d6\u4ee3\u4e86\u7b97\u7c4c\u3002<\/p>\n<p>\u4e00\u76f4\u5230\u8fd1\u4ee3\uff0c\u96a8\u8457\u6a5f\u68b0\u8a08\u7b97\u5668\u7684\u554f\u4e16\uff0c\u897f\u65b9\u793e\u6703\u624d\u958b\u59cb\u51fa\u73fe\u8a08\u7b97\u5de5\u5177\u8f03\u5927\u7684\u9032\u5c55\u300217\u4e16\u7d00\u4e2d\u8449\uff0c\u5e15\u65af\u5361\uff08Blaise Pascal\uff09\u70ba\u4e86\u6e1b\u8f15\u7236\u89aa\u8a08\u7b97\u7a05\u7387\u7a05\u6b3e\u7684\u7e41\u8907\u8a08\u7b97\uff0c\u81ea\u5df1\u88fd\u4f5c\u51fa\u4e00\u53f0\u53ef\u4ee5\u52a0\u6e1b\u3001\u9032\u4f4d\u7684\u6a5f\u68b0\u5f0f\u8a08\u7b97\u6a5f\uff08\u82e5\u9047\u5230\u4e58\u9664\u5247\u662f\u4f7f\u7528\u9023\u52a0\u3001\u9023\u6e1b\u7684\u65b9\u6cd5\u4f86\u9032\u884c\u904b\u7b97\uff09\u3002\u7576\u5e15\u65af\u5361\u7684\u300c\u52a0\u6cd5\u5668\u300d\u8ad6\u6587\u6d41\u50b3\u5230\u840a\u5e03\u5c3c\u8332\u624b\u4e0a\uff0c\u840a\u5e03\u5c3c\u8332\u70ba\u5e15\u65af\u5361\u7684\u9f52\u8f2a\u8a08\u7b97\u6a5f\u7684\u8a2d\u8a08\u6dfb\u589e\u4e86\u840a\u5e03\u5c3c\u8332\u8f2a\uff0c\u53ef\u4ee5\u9032\u884c\u52a0\u6e1b\u4e58\u9664\u7684\u56db\u5247\u904b\u7b97\u3002\u7136\u800c\u55ae\u9760\u4ed6\u7684\u529b\u91cf\u7121\u6cd5\u5b8c\u5168\u7684\u88fd\u9020\u51fa\u4e00\u53f0\u6c92\u6709\u7455\u75b5\u7684\u8a08\u7b97\u6a5f\uff0c\u5f8c\u4f86\u4ed6\u8acb\u9418\u9336\u5320Oilvier\u5e6b\u4ed6\u88fd\u4f5c\u65b0\u578b\u7684\u8a08\u7b97\u6a5f\u3002\u96d6\u7136\u840a\u5e03\u5c3c\u8332\u7684\u8a08\u7b97\u6a5f\u6c92\u6709\u5b8c\u5168\u6210\u529f\uff0c\u4f46\u4ed6\u4ecd\u7136\u88ab\u5f8c\u4eba\u63a8\u5d07\u70ba\u8a08\u7b97\u6a5f\u5668\u7684\u5148\u92d2\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf<\/strong><strong>\u5206\u6790\u6a5f\u7e54\u51fa\u4ee3\u6578\u7684\u5f0f\u6a23<\/strong><\/span><\/p>\n<p>\u5df4\u8c9d\u5947\uff08Charles Babbage\uff09\u5f97\u5230\u6bd4\u524d\u4eba\u66f4\u9ad8\u660e\u7684\u60f3\u6cd5\uff0c\u4ed6\u5c07\u8907\u96dc\u7684\u6578\u5b78\u904b\u7b97\u5206\u89e3\u6210\u8a31\u591a\u6b65\u9a5f\uff0c\u4f86\u7c21\u5316\u6bcf\u4e00\u6b21\u8a08\u7b97\u7684\u904e\u7a0b\u3002\u628a\u6a5f\u5668\u7d50\u69cb\u5206\u70ba\u5169\u5927\u90e8\u5206\uff0c\u5206\u5225\u662f\u300c\u8a08\u7b97\u300d\u548c\u300c\u5132\u5b58\u300d\u55ae\u5143\uff0c\u53ef\u4ee5\u5c07\u8a08\u7b97\u904e\u7a0b\u4e2d\u7684\u66ab\u6642\u7d50\u679c\u5132\u5b58\u5728\u6a5f\u5668\u4e2d\u3002\u63a5\u8457\u4ed6\u767c\u60f3\u51fa\u5206\u6790\u6a5f\uff08analytic engine\uff09\uff0c\u900f\u904e\u6307\u4ee4\u7684\u8f38\u5165\u8b93\u6a5f\u5668\u81ea\u52d5\u9032\u884c\u5404\u7a2e\u904b\u7b97\uff0c\u907f\u514d\u8a08\u7b97\u7d50\u679c\u53d7\u5230\u4eba\u70ba\u932f\u8aa4\u7684\u5f71\u97ff\u3002\u751a\u81f3\u53ef\u4ee5\u5728\u6a5f\u5668\u4e2d\u9032\u884c\u7a0b\u5f0f\u908f\u8f2f\u7684\u8655\u7406\uff0c\u689d\u4ef6\u5224\u65b7\u3001\u8ff4\u5708\u7b49\u7b49\u3002<\/p>\n<p>\u5df4\u8c9d\u5947\u6240\u63d0\u51fa\u7684\u9769\u547d\u6027\u69cb\u60f3\uff0c\u63a7\u5236\u548c\u908f\u8f2f\u6ef2\u5165\u8a08\u7b97\u5de5\u5177\u7684\u6f14\u5316\uff0c\u4f5c\u70ba\u7576\u4ee3\u96fb\u5b50\u8a08\u7b97\u6a5f\u7684\u96db\u578b\u3002\u9019\u500b\u60f3\u6cd5\u4e5f\u4e0d\u662f\u6191\u7a7a\u8ff8\u51fa\u4f86\u7684\uff0c\u9019\u4f4d\u5929\u624d\u7684\u9020\u5c31\u4e5f\u8ddf\u7576\u6642\u7684\u6587\u660e\u767c\u5c55\u6709\u5bc6\u5207\u7684\u76f8\u95dc\u3002\u5206\u6790\u6a5f\u4e2d\u7684\u300c\u8a08\u7b97\u55ae\u5143\u300d\u548c\u300c\u5132\u5b58\u55ae\u5143\u300d\u4f86\u81ea\u65bc\u7576\u4ee3\u5de5\u696d\u300c\u5de5\u5ee0\u300d\uff08mill\uff09\u3001\u300c\u5009\u5eab\u300d\uff08store\uff09\u3002\u81ea\u52d5\u5316\u7684\u6982\u5ff5\u6df1\u53d7\u7576\u6642\u96c5\u5361\u723e\uff08Joseph Marie Jacquard\uff09\u767c\u660e\u7684\u7df9\u82b1\u7d21\u7e54\u6a5f\u555f\u767c\uff0c\u501f\u7528\u81ea\u52d5\u5316\u7684\u7d21\u7e54\u6a5f\u7684\u8f38\u5165\u5a92\u4ecb\u2014\u2014\u6253\u5b54\u5361\uff0c\u4f5c\u70ba\u5206\u6790\u6a5f\u7684\u8f38\u5165\u5de5\u5177\u3002<\/p>\n<p><strong>\u300c\u6b63\u5982\u96c5\u5361\u723e\u7684\u7df9\u82b1\u7d21\u7e54\u6a5f\u63d0\u51fa\u82b1\u6735\u8207\u6a39\u8449\u4e00\u6a23\uff0c\u5206\u6790\u6a5f\u7e54\u51fa\u4ee3\u6578\u7684\u5f0f\u6a23\u3002\u300d<\/strong><\/p>\n<p style=\"text-align: right;\"><strong>\u611b\u9054\uff0e\u62dc\u502b\uff08<\/strong><strong>Augusta Ada Byron<\/strong><strong>\uff09<\/strong><\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u7b26\u865f\u908f\u8f2f\u8b8a\u6210\u4e86\u8a08\u7b97\u6a5f\u8a9e\u8a00<\/strong><\/span><\/p>\n<p>\u81ea\u5f9e\u4e9e\u91cc\u65af\u591a\u5f97\uff0c\u908f\u8f2f\u5b78\u9996\u6b21\u6700\u5927\u9769\u65b0\uff0c\u57281854\u5e74\uff0c\u5e03\u723e\uff08George Boole\uff09\u51fa\u7248\u4e86\u4e00\u7bc7\u8de8\u6642\u4ee3\u7684\u8457\u4f5c<em>The Laws of Thought<\/em>\uff0c\u5c07\u908f\u8f2f\u7b26\u865f\u5316\uff0c\u4f7f\u908f\u8f2f\u6210\u70ba\u6578\u5b78\u7684\u4e00\u90e8\u5206\uff0c\u5efa\u7acb\u4e86\u547d\u984c\u908f\u8f2f\u7684\u9ad4\u7cfb\u3002\u5176\u4e2d\u8a73\u7d30\u4ecb\u7d39\u4e86\u4e00\u7a2e\u4ee3\u6578\u5316\u7684\u908f\u8f2f\u7cfb\u7d71\uff0c\u5f8c\u4eba\u7a31\u4e4b\u70ba\u5e03\u723e\u4ee3\u6578\uff08Boolean algebra\uff09\u3002\u57281937\u5e74\uff0c\u7531\u4ed9\u8fb2\uff08Claude Shannon\uff09\u95e1\u660e\u5982\u4f55\u4f7f\u7528\u958b\u95dc\u4f86\u5be6\u73fe\u908f\u8f2f\u548c\u6578\u5b78\u904b\u7b97\uff0c\u628a\u96fb\u8def\u7684\u89e3\u91cb\u8207\u5e03\u723e\u4ee3\u6578\u7d50\u5408\u8d77\u4f86\uff0c\u5beb\u5728\u4ed6\u7684\u78a9\u58eb\u8ad6\u6587\u300a\u7e7c\u96fb\u5668\u8207\u958b\u95dc\u96fb\u8def\u7684\u7b26\u865f\u5206\u6790\u300b\uff08<em>A Symbolic Analysis of Relay and Switching Circuits<\/em>\uff09\u4e2d\uff0c\u5960\u5b9a\u4e86\u6578\u4f4d\u96fb\u8def\u7684\u7406\u8ad6\u57fa\u790e\u3002<\/p>\n<p>\u7136\u800c\u547d\u984c\u908f\u8f2f\u4e0d\u8db3\u4ee5\u8868\u9054\u5c0d\u65bc\u6240\u6709\u6216\u5b58\u5728\u67d0\u4e9b\u7684\u91cf\u5316\u8a5e\u7684\u8a9e\u53e5\u6027\u8cea\uff0c\u6240\u4ee5\u7f3a\u4e4f\u7b26\u865f\u9673\u8ff0\u6240\u6709\u6578\u5b78\u547d\u984c\u7684\u80fd\u529b\uff0c\u6240\u4ee5\u547d\u984c\u908f\u8f2f\u5fc5\u9808\u8981\u5347\u7d1a\u5230\u8b02\u8a5e\u908f\u8f2f\uff08Predicate Logic\uff09\u3002\u8b02\u8a5e\u908f\u8f2f\u7684\u8208\u8d77\u5f9e1879\u5e74\u5f17\u96f7\u683c\uff08Gottlob Frege\uff09\u958b\u59cb\u6709\u6df1\u523b\u601d\u60f3\uff0c\u4ed6\u7d66\u51fa\u300c\u96c6\u5408\u300d\u56b4\u683c\u7684\u5b9a\u7fa9\u3002\u4e2d\u9593\u7d93\u904e\u4e86\u7f85\u7d20\u7b49\u4eba\u767c\u5c55\u6096\u8ad6\uff0c\u6700\u7d42\u57281928\u5e74\uff0c\u5e0c\u723e\u4f2f\u7279\u5b9a\u4e0b\u4f86\u8b02\u8a5e\u908f\u8f2f\u7684\u6700\u7d42\u578b\u614b\uff0c\u63d0\u51fa\u300c\u5224\u5b9a\u5f0f\u554f\u984c\u300d\uff1a\u6709\u6c92\u6709\u4e00\u7a2e\u7b97\u6cd5\uff0c\u80fd\u5920\u5224\u5b9a\u5728\u8b02\u8a5e\u908f\u8f2f\u4e0b\u7684\u547d\u984c\u662f\u5426\u53ef\u4ee5\u8b49\u660e\u6210\u7acb\uff1f<\/p>\n<p>\u70ba\u4e86\u89e3\u6c7a\u67d0\u500b\u554f\u984c\u662f\u5426\u5b58\u5728\u7b97\u6cd5\u89e3\uff0c\u57281930\u5e74\u4ee3\u8a31\u591a\u8ad6\u8ff0\u76f8\u7e7c\u63d0\u51fa\uff0c\u50cf\u662f\u57c3\u723e\u5e03\u6717\uff08Herbrand\uff09\u8207\u54e5\u723e\u5fb7\uff08Kurt G\u00f6del\uff09\u7684\u65b9\u7a0b\u7d44\u3001\u4e18\u5947\uff08Alonzo Church\uff09\u7684\u03bb\u6f14\u7b97\u3001\u514b\u6797\u5c3c\uff08Stephen Kleene\uff09\u7684\u905e\u6b78\u51fd\u6578\u3001\u6ce2\u65af\u7279\uff08Emil Post\uff09\u7684\u6a5f\u5668\u6a21\u5f0f\u3002\u57281936\u5e74\uff0c\u4e18\u5947\u8207\u5716\u9748\u89e3\u6c7a\u4e86\u5224\u5b9a\u6027\uff08decidability\uff09\u554f\u984c\uff0c\u8b02\u8a5e\u908f\u8f2f\u4e0d\u5b58\u5728\u4e00\u7a2e\u5224\u5b9a\u7b97\u6cd5\uff0c\u8ad6\u8b49\u8207\u8a08\u7b97\u4e4b\u9593\u6709\u672c\u8cea\u4e0a\u7684\u5dee\u7570\uff0c\u8b49\u660e\u539f\u5148\u5e0c\u723e\u4f2f\u7279\u63d0\u51fa\u7684\u7528\u8a08\u7b97\u4f86\u4ee3\u66ff\u8ad6\u8b49\u7684\u8a08\u756b\u6c38\u9060\u7121\u6cd5\u5be6\u73fe\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u73fe\u4ee3\u8a08\u7b97\u6a5f\u79d1\u5b78\u7684\u9f3b\u7956\u2014\u2014\u5716\u9748<\/strong><\/span><\/p>\n<p>\u6700\u7d42\u57281936 \u5e74\uff0c\u5716\u9748\uff08Alan Turing\uff09\u767c\u8868\u4e86\u8de8\u6642\u4ee3\u7684\u6587\u7ae0\u300a\u8ad6\u53ef\u8a08\u7b97\u6578\u53ca\u5176\u5728\u5224\u5b9a\u6027\u554f\u984c\u4e0a\u7684\u61c9\u7528\u300b\uff08On Computable Numbers, with an Application to the Entscheidungsproblem\uff09\uff0c\u5c07\u908f\u8f2f\u8ddf\u8a08\u7b97\u6a5f\u5b8c\u5168\u7684\u6574\u5408\u5728\u4e00\u8d77\uff0c\u767c\u660e\u4e86\u7406\u8ad6\u8a08\u7b97\u6a5f\uff0c\u8b49\u660e\u901a\u7528\u8a08\u7b97\u6a5f\u7684\u5b58\u5728\u4ee5\u53ca\u8b49\u660e\u8a08\u7b97\u6a5f\u7121\u6cd5\u89e3\u6c7a\u7684\u554f\u984c\uff0c\u50cf\u662f\u505c\u6a5f\u554f\u984c\u3002\u63db\u53e5\u8a71\u4f86\u8aaa\uff0c\u4e0a\u8ff0\u63d0\u5230\u7684\u7b97\u6cd5\u3001\u8868\u5fb5\u3001\u5de5\u5177\u90fd\u662f\u932f\u89ba\uff01\u5728\u7406\u8ad6\u7684\u5c64\u6b21\uff0c\u5b83\u5011\u80fd\u6574\u5408\u5728\u4e00\u500b\u67b6\u69cb\u88e1\u53bb\u7406\u89e3\u3002\u8d77\u521d\uff0c\u4eba\u985e\u5728\u5916\u9762\u64cd\u4f5c\u6a5f\u5668\uff1b\u73fe\u5728\uff0c\u628a\u6a5f\u5668\u7684\u64cd\u4f5c\u8ddf\u6a5f\u5668\u6574\u5408\u5728\u4e00\u8d77\u3002<\/p>\n<p><strong>\u300c\u5728\u5716\u9748\u4e4b\u524d\uff0c\u4e00\u822c\u90fd\u8a8d\u70ba\u6a5f\u5668\u3001\u7a0b\u5f0f\u3001\u8cc7\u6599\u4e09\u500b\u7bc4\u7587\uff0c\u662f\u5168\u7136\u4e0d\u540c\u7684\u5340\u584a\uff0c\u6a5f\u5668\u662f\u7269\u7406\u6027\u7684\u7269\u4ef6\uff0c\u6211\u5011\u4eca\u5929\u7a31\u4e4b\u70ba\u786c\u9ad4\u3002\u7a0b\u5f0f\u662f\u6e96\u5099\u505a\u8a08\u7b97\u7684\u65b9\u6848\u2026\u2026\u8cc7\u6599\u662f\u6578\u503c\u7684\u8f38\u5165\u3002\u901a\u7528\u5716\u9748\u6a5f\u544a\u8a34\u6211\u5011\u4e09\u500b\u7bc4\u7587\u7684\u5340\u5206\u53ea\u662f\u932f\u89ba\u3002\u300d<\/strong><\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u5716\u9748\u6a5f\u5be6\u9ad4\u7684\u5be6\u73fe<\/strong><\/span><\/p>\n<p>\u5728\u4e8c\u6230\u7d50\u675f\u5f8c\uff0c\u5716\u9748\u53c3\u8207\u570b\u5bb6\u7269\u7406\u5be6\u9a57\u5ba4\u7684\u81ea\u52d5\u8a08\u7b97\u5f15\u64ce\uff08Automatic Computing Engine\uff0cACE\uff09\u8a08\u756b\uff0c\u4f46\u6700\u7d42ACE \u8a08\u756b\u4ee5\u5931\u6557\u6536\u5834\u3002\u76f4\u52301948\u5e74\uff0c<span style=\"text-decoration: line-through;\">\u5728<\/span>\u5a01\u5ec9\u65af\uff08Frederic Williams\uff09\u624d\u6210\u529f\u5730\u8b93\u5716\u9748\u8a08\u7b97\u6a5f\u8b8a\u6210\u5be6\u9ad4\u3002\u7136\u800c\uff0c\u7b2c\u4e00\u500b\u88fd\u9020\u51fa\u5168\u81ea\u52d5\u6578\u4f4d\u8a08\u7b97\u6a5f\u7684\u4eba\u4e0d\u662f\u5a01\u5ec9\u65af\uff0c\u800c\u662f\u5fb7\u570b\u5de5\u7a0b\u5e2b\u695a\u6fa4\uff08Konrad Zuse\uff09\u3002\u4ed6\u70ba\u4e86\u8655\u7406\u571f\u6728\u5de5\u7a0b\u5f88\u9f90\u96dc\u7684\u8a08\u7b97\uff0c\u4ed6\u5728\u7236\u6bcd\u7684\u5bb6\u4e2d\uff0c\u7368\u81ea\u5b8c\u6210\u4e86\u7d14\u6a5f\u68b0\u5f0f\u8a08\u7b97\u6a5fZ1\uff0c\u662f\u53f2\u4e0a\u7b2c\u4e00\u53f0\u63a1\u7528\u4e8c\u9032\u4f4d\u7cfb\u7d71\u7684\u8a08\u7b97\u6a5f\u3002\u57281941\u5e74\uff0c\u695a\u6fa4\u5728\u8fb2\u838a\u5730\u4e0b\u5ba4\u88e1\u6240\u88fd\u4f5c\u51fa\u4e16\u754c\u4e0a\u7b2c\u4e00\u53f0\u7531\u7a0b\u5f0f\u63a7\u5236\u7684\u5168\u81ea\u52d5\u6578\u4f4d\u8a08\u7b97\u6a5f\u2014\u2014Z3\u3002<\/p>\n<p>\u5728\u5716\u9748\u601d\u60f3\u7684\u6307\u5f15\u4e0b\uff0c\u8a08\u7b97\u70ba\u9019\u500b\u4e16\u754c\u655e\u958b\u4e86\u4e00\u6247\u5927\u9580\uff0c\u8b93\u4eba\u985e\u5f97\u4ee5\u9032\u5165\u5d84\u65b0\u7684\u6587\u5316\u5c64\u6b21\u8207\u6642\u4ee3\u4e2d\u3002\u5728\u9019\u5feb\u901f\u5c55\u958b\u65b0\u6b77\u53f2\u4e2d\uff0c\u76f8\u4fe1\u9084\u6709\u66f4\u591a\u503c\u5f97\u671f\u5f85\u7684\u65b0\u767c\u660e\uff0c\u5e36\u9818\u4eba\u5011\u9032\u5165\u66f4\u5ee3\u95ca\u7684\u4e16\u754c\u4e2d\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><strong>--<br \/>\n\u672c\u6587\u6574\u7406\u81ea\uff1a108\/9\/21\u7531\u674e\u570b\u5049\u8001\u5e2b\u5728\u81fa\u5927\u601d\u4eae\u9928\u570b\u969b\u6703\u8b70\u5ef3\u6240\u4e3b\u8b1b\u4e4b\u300c\u8a08\u7b97\u7684\u8edf\u786c\u517c\u65bd\u767c\u5c55\u8108\u7d61\u300d\u6f14\u8b1b\u5167\u5bb9\u3002<\/strong><iframe src=\"https:\/\/www.youtube.com\/embed\/8kAtTpLF1Zk\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u9019\u4e00\u500b\u4e16\u7d00\u4e2d\uff0c\u8a08\u7b97\u6709\u8df3\u8e8d\u6027\u7684\u9032\u5c55\uff0c\u5c0d\u4eba\u985e\u6587\u660e\u7522\u751f\u5341\u5206\u5de8\u5927\u7684\u5f71\u97ff\u3002\u5728\u4eba\u985e\u6f2b\u9577\u7684\u6b77\u53f2\u88e1\uff0c\u8a08\u7b97\u5982\u4f55\u5f9e\u53e4\u4ee3\u61f5\u61f5\u61c2\u61c2\u7684\u64cd\u4f5c\u7d93\u9a57\uff0c\u6162\u6162\u63d0\u5347\u5230\u4e86\u89e3\u5230\u5b83\u7684\u672c\u8cea\uff0c\u9010\u6f38\u5f9e\u6578\u5b78\u88e1\u5206\u5316\u51fa\u4f86\uff0c\u6709\u81ea\u5df1\u7814\u7a76\u7684\u76ee\u6a19\u3001\u65b9\u6cd5\uff0c\u4f5c\u70ba\u4e00\u500b\u6210\u719f\u7684\u77e5\u8b58\u9818\u57df\u3002\u674e\u570b\u5049\u6559\u6388\u5f9e\u8edf\u9ad4\u3001\u786c\u9ad4\u96d9\u65b9\u7684\u767c\u5c55\u4f86\u770b\u8a08\u7b97\u5982\u4f55\u5f9e\u6578\u5b78\u9010\u6f38\u6f14\u5316\u51fa\u4f86\u7684\u6b77\u7a0b\uff0c\u4ee5\u6a6b\u8cab\u6771\u897f\u6587\u660e\u7684\u89c0\u9ede\u770b\u5176\u6b77\u53f2\u7684\u7e31\u6df1\u3002<\/p>\n","protected":false},"author":20,"featured_media":34672,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,4371],"tags":[3279,2130,2139],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2019\/11\/22-1s.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/34670"}],"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=34670"}],"version-history":[{"count":3,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/34670\/revisions"}],"predecessor-version":[{"id":34847,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/34670\/revisions\/34847"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/34672"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=34670"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=34670"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=34670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}