{"id":51793,"date":"2024-07-24T22:36:01","date_gmt":"2024-07-24T14:36:01","guid":{"rendered":"https:\/\/swarma.org\/?p=51793"},"modified":"2024-07-24T22:36:01","modified_gmt":"2024-07-24T14:36:01","slug":"%e9%87%8a%e6%94%be%e6%af%94%e7%89%b9%e8%87%aa%e7%94%b1-wolfram%e7%9a%84%e4%b8%80%e7%a7%8d%e6%96%b0%e7%a7%91%e5%ad%a6%e4%bb%8b%e7%bb%8d","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=51793","title":{"rendered":"\u91ca\u653e\u6bd4\u7279\u81ea\u7531\u2014\u2014Wolfram\u7684\u201c\u4e00\u79cd\u65b0\u79d1\u5b66\u201d\u4ecb\u7ecd"},"content":{"rendered":"
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\u300a\u4e00\u79cd\u65b0\u79d1\u5b66\u300b\u4f5c\u4e3a Stephen Wolfram \u7684\u5f00\u521b\u6027\u8457\u4f5c\uff0c\u5728\u4eba\u5de5\u667a\u80fd\u84ec\u52c3\u53d1\u5c55\u7684\u4eca\u5929\u91cd\u65b0\u7115\u53d1\u751f\u673a\u3002\u8be5\u4e66\u63a2\u8ba8\u7684\u7b80\u5355\u7a0b\u5e8f\u751f\u6210\u590d\u6742\u6027\u3001\u8ba1\u7b97\u666e\u904d\u6027\u548c\u6d8c\u73b0\u884c\u4e3a\u7b49\u6838\u5fc3\u6982\u5ff5\uff0c\u4e0e\u73b0\u4ee3AI\u548c\u5927\u8bed\u8a00\u6a21\u578b\u7684\u57fa\u672c\u539f\u7406\u9ad8\u5ea6\u543b\u5408\u3002\u6700\u8fd1\u793e\u533a\u6210\u5458\u97e9\u53f8\u9633\u7b49\u8001\u5e08\u79ef\u6781\u63a8\u52a8\u300aA New Kind of Science\u300b\u5728\u56fd\u5185\u7684\u7ffb\u8bd1\u51fa\u7248\u5de5\u4f5c\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u793e\u533a\u6210\u5458\u97e9\u53f8\u9633\u3001\u7ae0\u5f66\u535a\u3001\u5f90\u6069\u5ce4\u3001\u5f20\u6c5f\u4e00\u8d77\u8054\u5408\u53d1\u8d77\u300c\u300a\u4e00\u672c\u65b0\u79d1\u5b66\u300b\u8bfb\u4e66\u4f1a<\/a>\u300d\uff0c\u4ece9\u67081\u65e5\u8d77\uff0c\u6bcf\u5468\u65e5\u4e0a\u534810:00-12:00\u5f00\u59cb\u7cfb\u5217\u7684\u8ba8\u8bba\uff0c\u6b22\u8fce\u5927\u5bb6\u52a0\u5165\u8bfb\u4e66\u4f1a\uff0c\u505a\u8bfb\u4e66\u4f1a\u5206\u4eab\u6216\u8005\u8ba4\u9886\u7ffb\u8bd1\u4efb\u52a1\u3002<\/span><\/strong><\/section>\n

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1. \u865a\u62df\u4e16\u754c<\/span><\/strong><\/p>\n

2. \u5386\u53f2<\/strong><\/span><\/p>\n

3. \u4ec0\u4e48\u662fNKS<\/strong><\/span><\/p>\n

3.1 \u56fe\u7075\u673a<\/span><\/section>\n
3.2 \u66ff\u4ee3\u7cfb\u7edf\uff08Substitution systems\uff09<\/span><\/section>\n
3.3 \u81ea\u7136\u6570<\/span><\/section>\n

4. \u8046\u542c\u8ba1\u7b97\u7684\u58f0\u97f3<\/strong><\/span><\/p>\n

4.1 \u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u5206\u7c7b<\/span><\/section>\n
4.2 \u590d\u6742\u6027\u7684\u6781\u9650<\/span><\/section>\n

5. CA\u6a21\u62df\u80a1\u5e02<\/strong><\/span><\/p>\n

6. \u5173\u4e8e\u201c\u9ed1\u5ba2\u5e1d\u56fd\u201d\u7684\u7269\u7406\u5b66<\/strong><\/span><\/p>\n

6.1 \u79bb\u6563\u7684\u683c\u5b50<\/span><\/section>\n
6.2 \u56e0\u679c\u7f51\u7edc<\/span><\/section>\n

7. \u8ba1\u7b97\u5b87\u5b99\u4e4b\u95f4\u7684\u7ebd\u5e26<\/strong><\/span><\/p>\n

8. \u4ece\u590d\u6742\u6027\u8d70\u5411\u901a\u7528\u6027<\/strong><\/span><\/p>\n

8.1 \u901a\u7528\u8ba1\u7b97<\/span><\/section>\n
8.2 \u6700\u5c0f\u7684\u901a\u7528\u8ba1\u7b97\u7cfb\u7edf<\/span><\/section>\n
8.3 \u8ba1\u7b97\u7b49\u4ef7\u6027\u539f\u7406<\/span><\/section>\n

9. \u8ba1\u7b97\u5b87\u5b99\u4e2d\u7684\u9ed1\u6d1e<\/strong><\/span><\/p>\n

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9.2 \u81ea\u6307\u9ed1\u6d1e<\/span><\/section>\n

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2007\u5e741\u6708\uff0c\u8457\u540d\u79d1\u5b66\u6742\u5fd7\u300aNature\u300b\u7b2c445\u671f\u520a\u767b\u4e86\u8fd9\u6837\u4e00\u7bc7\u6587\u7ae0\uff1a\u300aSocial Sciences: Life’s A Game\u300b<\/span>\uff08\u793e\u4f1a\u79d1\u5b66\uff1a\u751f\u6d3b\u5c31\u662f\u4e00\u573a\u6e38\u620f\uff09<\/span>\u3002\u4e3b\u8981\u4ecb\u7ecd\u4e00\u5c0f\u7fa4\u793e\u4f1a\u79d1\u5b66\u5bb6\u7528\u5927\u578b\u7f51\u7edc\u6e38\u620f\u8fdb\u884c\u793e\u4f1a\u79d1\u5b66\u7814\u7a76\u7684\u5de5\u4f5c\u3002\u65e0\u72ec\u6709\u5076\uff0c2007\u5e748\u6708\uff0c\u8457\u540d\u79d1\u5b66\u6742\u5fd7\u300aScience\u300b317\u5377\u4e5f\u520a\u767b\u4e86\u4e00\u7bc7\u9898\u4e3a\uff1a\u300aThe Scientific Research Potential of VIRTUAL WORLDs\u300b<\/span>\uff08\u865a\u62df\u4e16\u754c\u4e2d\u79d1\u5b66\u7814\u7a76\u7684\u6f5c\u529b\uff09<\/span>\u7684\u6587\u7ae0\uff0c\u6307\u51fa\u76ee\u524d\u6b63\u53d1\u751f\u5728\u4e24\u4e2a\u5927\u578b\u865a\u62df\u4e16\u754c\uff1a\u9b54\u517d\u4e16\u754c<\/span>\uff08World of Warcraft\uff09<\/span>\u3001\u7b2c\u4e8c\u751f <\/span>(Second Life) <\/span>\u4e4b\u4e2d\u7684\u4e8b\u60c5\uff0c\u5c24\u5176\u5f3a\u8c03\u4e86\u4e00\u6279\u79d1\u5b66\u5bb6\u5728\u5176\u4e2d\u505a\u7684\u4e00\u7cfb\u5217\u6709\u5173\u793e\u4f1a\u5b66\u548c\u4eba\u7c7b\u5b66\u7684\u8bd5\u9a8c\uff0c\u5b83\u4eec\u4e0d\u4ec5\u7ed9\u5404\u79cd\u793e\u4f1a\u7814\u7a76\u63d0\u4f9b\u4e86\u5e73\u53f0\uff0c\u800c\u4e14\u9884\u793a\u4e86\u4e00\u79cd\u5d2d\u65b0\u7684\u7814\u7a76\u79d1\u5b66\u7684\u65b9\u5411\u3002<\/span><\/section>\n

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\u7f51\u7edc\u6e38\u620f\u3001\u865a\u62df\u4e16\u754c\u4e5f\u80fd\u6210\u4e3a\u79d1\u5b66\u7814\u7a76\u65b9\u5411\uff1f\u4e00\u70b9\u4e0d\u5047\uff0c\u4e0d\u662f\u4f60\u4e0d\u660e\u767d\uff0c\u8fd9\u4e2a\u4e16\u754c\u53d8\u5316\u5feb\u3002\u5176\u5b9e\uff0c\u65e9\u57282002\u5e74\uff0c\u4e00\u540d<\/span>\u53eb\u505aEdward Castranova\u7684\u7ecf\u6d4e\u5b66\u5bb6<\/span>\u5c31\u7a81\u53d1\u5947\u60f3\uff0c\u5c06\u7f51\u7edc\u6e38\u620fEverquest\u89c6\u4e3a\u4e00\u4e2a\u771f\u5b9e\u7684\u5728\u7ebf\u738b\u56fd\u800c\u8ba1\u7b97\u5b83\u7684GDP\uff0c\u7ed3\u679c\u53d1\u73b0\uff0c\u5b83\u7684\u603b\u91cf\u6392\u540d\u4e16\u754c\u7b2c14\u4f4d\uff01\u4e0d\u7ba1\u6211\u4eec\u613f\u610f\u4e0d\u613f\u610f\uff0c\u7f51\u7edc\u6e38\u620f\u5df2\u7ecf\u6210\u4e3a\u4e86\u4e00\u79cd\u4e0d\u53ef\u5c0f\u89d1\u7684\u529b\u91cf\u800c\u5b58\u5728\u3002\u6211\u4eec\u9700\u8981\u8ba4\u771f\u3001\u4e25\u8083\u5730\u5bf9\u5f85\u8fd9\u4e00\u73b0\u8c61\u4e86\u3002<\/span><\/section>\n

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\u5982\u679c\u6211\u4eec\u628a\u6bcf\u6b21\u5e94\u7528\u89c4\u5219\u5f97\u5230\u7684\u65b9\u683c\u6392\u6210\u4e00\u6392\u4e00\u6392\u7684\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u4e0b\u9762\u7684\u56fe\uff1a<\/span><\/section>\n

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\u6211\u4eec\u53ef\u4ee5\u5f88\u5bb9\u6613\u5c06\u8fd9\u4e2a\u6e38\u620f\u7684\u73a9\u6cd5\u7f16\u6210\u7a0b\u5e8f\uff0c\u5728\u8ba1\u7b97\u673a\u4e0a\u5b9e\u73b0\u5b83\u3002\u8fd9\u4e2a\u6e38\u620f\u7684\u5b66\u540d\u53eb\u4f5c\u5143\u80de\u81ea\u52a8\u673a<\/span>\uff08\u53c8\u79f0\u7ec6\u80de\u81ea\u52a8\u673a\uff0c\u82f1\u6587\u662f\uff1aCellular Automata, \u7b80\u79f0CA\uff09<\/span>\u3002\u7136\u800c\u8fd9\u8ddf\u6211\u4eec\u8981\u63a2\u8ba8\u7684\u7f51\u7edc\u6e38\u620f\u3001\u5927\u578b\u8ba1\u7b97\u673a\u865a\u62df\u4e16\u754c\u6709\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f\u5b9e\u9645\u4e0a\uff0c\u8fd9\u4e2a\u7a0b\u5e8f\u5c31\u662f\u4e00\u4e2a\u865a\u62df\u4e16\u754c\u7684\u7b80\u5355\u539f\u578b\u3002<\/span>\uff08\u6709\u5173\u5143\u80de\u81ea\u52a8\u673a\u7684\u8be6\u7ec6\u4ecb\u7ecd\uff0c\u8bf7\u770b\u8fd9\u91cc\uff1ahttp:\/\/www.swarmagents.com\/complex\/models\/ca.htm\uff09<\/span><\/section>\n

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\u6211\u4eec\u77e5\u9053\uff0c\u6240\u8c13\u5b87\u5b99\u5c31\u662f\u6307\u7a7a\u95f4\u548c\u65f6\u95f4\u7684\u603b\u5408\u3002\u7a7a\u95f4\u4e2d\u7684\u7269\u8d28\u6309\u7167\u7269\u7406\u89c4\u5219\u8fd0\u52a8\u3002\u90a3\u4e48\uff0c\u5728\u8fd9\u4e2a\u7b80\u5355\u7684\u5143<\/span>\u80de\u81ea\u52a8\u673a\u4e2d\uff0c\u8fd9\u4e00\u6392\u65b9\u683c\u5c31\u662f\u5b87\u5b99\u7684\u7a7a\u95f4\uff0c\u4e0d\u540c\u989c\u8272\u7684\u65b9\u683c\u76f8\u5f53\u4e8e\u5b87\u5b99\u4e2d\u7684\u7269\u8d28\uff0c\u90a3\u4e2a\u66f4\u65b0\u89c4\u5219\u5c31\u662f\u8fd9\u4e2a\u865a\u62df\u5b87\u5b99\u7a7a\u95f4\u4e2d\u7684\u7269\u7406\u89c4\u5219\u3002\u800c\u6bcf\u4e00\u6b65\u66f4\u65b0\u5c31\u53ef\u4ee5\u770b\u4f5c\u662f\u5b87\u5b99\u65f6\u949f\u7684\u4e00\u6b21\u5600\u55d2\u3002\u56e0\u6b64\uff0c\u7a7a\u95f4\u3001\u65f6\u95f4\u3001\u7269\u7406\u5168\u90fd\u6709\u4e86\uff0c\u5b83\u5c31\u662f\u4e00\u4e2a\u6700\u7b80\u5355\u7684\u4eba\u9020\u7684\u865a\u62df\u4e16\u754c\u3002<\/span><\/section>\n

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\u6211\u4eec\u6240\u751f\u6d3b\u7684\u771f\u5b9e\u5b87\u5b99\u53ea\u6709\u4e00\u4e2a\uff0c\u5b83\u7684\u7269\u7406\u89c4\u5219\u4e5f\u662f\u56fa\u5b9a\u6b7b\u7684\u3002\u7136\u800c\uff0c\u5bf9\u4e8e\u4eba\u9020\u7684\u865a\u62df\u5b87\u5b99\u6765\u8bf4\uff0c\u6211\u4eec\u5c31\u76f8\u5f53\u4e8e\u662f\u4e0a\u5e1d\uff0c\u62e5\u6709\u4e86\u66f4\u6539\u7269\u7406\u89c4\u5219\u7684\u6743\u5229\uff0c\u8fd9\u6837\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u6539\u53d8\u89c4\u5219\u800c\u521b\u9020\u51fa\u5404\u79cd\u4e0d\u540c\u7684\u5b87\u5b99\uff0c\u4f8b\u5982\uff0c\u6211\u4eec\u628a\u89c4\u5219\u6539\u4e3a\uff1a<\/span><\/section>\n

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\u5219\u80fd\u521b\u9020\u51fa\u66f4\u6f02\u4eae\u7684\u5b87\u5b99\uff1a<\/span><\/section>\n

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\u663e\u7136\uff0c\u4e0d\u540c\u7684\u89c4\u5219\u80fd\u591f\u521b\u9020\u4e0d\u540c\u7684\u865a\u62df\u4e16\u754c\u3002\u6709\u4e86\u865a\u62df\u4e16\u754c\u7684\u6700\u5c0f\u7684\u6a21\u578b\uff0c\u6211\u4eec\u5c31\u80fd\u591f\u8fdb\u884c\u79d1\u5b66\u5206\u6790\u6765\u3002\u6211\u4eec\u53ef\u4ee5\u50cf\u7269\u7406\u5b66\u5bb6\u4e00\u6837\u505a\u5b9e\u9a8c\uff0c\u770b\u770b\u5728\u4e0d\u540c\u7684\u7269\u7406\u89c4\u5219\u4e0b\uff0c\u5b87\u5b99\u4f1a\u662f\u4ec0\u4e48\u6837\u5b50\u7684\u3002\u6211\u4eec\u53ef\u4ee5\u50cf\u751f\u7269\u5b66\u5bb6\u4e00\u6837\u5bf9\u865a\u62df\u4e16\u754c\u4e2d\u7684\u5404\u79cd\u82b1\u7eb9\u201c\u751f\u7269\u201d\u8fdb\u884c\u5206\u7c7b\uff0c\u7b49\u7b49\u3002\u5c31\u597d\u6bd4\u5f53\u5e74\u4f3d\u5229\u7565\u53d1\u660e\u671b\u8fdc\u955c\u4e00\u6837\uff0c\u6709\u4e86\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd9\u4e2a\u6700\u5c0f\u7684\u865a\u62df\u5b87\u5b99\uff0c\u79d1\u5b66\u5bb6\u4eec\u5c31\u53ef\u4ee5\u6253\u5f00\u4e00\u6247\u7a97\uff0c\u53bb\u89c2\u5bdf\u53e6\u4e00\u79cd\u5b8c\u5168\u4e0d\u540c\u7684\u865a\u62df\u4e16\u754c\u4e86\u3002\u7814\u7a76\u8fd9\u95e8\u79d1\u5b66\u7684\u5b66\u95ee\u5c31\u53eb\u505a A New Kind of Science<\/em><\/span> (\u4e00\u79cd\u65b0\u79d1\u5b66\uff0c\u7b80\u79f0NKS)<\/span>\uff0c\u4ed6\u7684\u521b\u59cb\u4eba\u5c31\u662f\u5927\u540d\u9f0e\u9f0e\u7684\u53f2\u8482\u82ac\u00b7\u6c83\u5c14\u5f17\u83b1\u59c6<\/span>\uff08Stephen Wolfram\uff09<\/span>\u3002<\/span><\/section>\n

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2. \u5386\u53f2<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u4efb\u4f55\u4e00\u95e8\u5b66\u79d1\u7684\u53d1\u5c55\u90fd\u6709\u5176\u5386\u53f2\uff0c\u800c\u6709\u5173\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd9\u6837\u7684\u865a\u62df\u5b87\u5b99\u7684\u7814\u7a76\u5219\u53ef\u4ee5\u8ffd\u6eaf\u5230\u4e0a\u4e16\u7eaa\u7684\u4e00\u540d\u4f1f\u5927\u7684\u79d1\u5b66\u5bb6\uff1a\u51af\u00b7\u8bfa\u4f9d\u66fc<\/span>\uff08von Neumann\uff09<\/span>\u3002\u6211\u4eec\u90fd\u77e5\u9053\u51af\u00b7\u8bfa\u4f9d\u66fc\u662f\u7b2c\u4e00\u53f0\u8ba1\u7b97\u673a\u7684\u8bbe\u8ba1\u5e08\uff0c\u8fd8\u662f\u535a\u5f08\u8bba\u7684\u521b\u59cb\u4eba\uff0c\u4f46\u5f88\u5c11\u6709\u4eba\u77e5\u9053\uff0c\u5728\u4ed6\u7684\u665a\u5e74<\/span>\uff08\u5927\u69821940\u5e74\u5de6\u53f3\uff09<\/span>\uff0c\u4ed6\u5728\u7814\u7a76\u4e00\u4e2a\u6709\u8da3\u7684\u8bfe\u9898\uff1a\u4eba\u9020\u673a\u5668\u7684\u81ea\u6211\u7e41\u6b96\u3002<\/span><\/section>\n

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Von Neumann \u548c\u4ed6\u7684\u8457\u4f5c\u300aTheory of Self-reproducing Automata\u300b<\/span><\/section>\n

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\u51af\u00b7\u8bfa\u4f9d\u66fc\u8003\u8651\u4e00\u53f0\u673a\u5668\u5728\u4e00\u4e2a\u5145\u6ee1\u4e86\u5404\u79cd\u673a\u5668\u90e8\u4ef6\u7684\u6c60\u5858\u91cc\u9762\u6e38\u6765\u6e38\u53bb\uff0c\u5b83\u53ef\u4ee5\u62fe\u8d77\u4e00\u4e9b\u90e8\u4ef6\uff0c\u5e76\u5c06\u4e0d\u540c\u7684\u90e8\u4ef6\u7ec4\u88c5\u5230\u4e00\u8d77\u2026\u2026\uff0c\u90a3\u4e48\uff0c\u6709\u6ca1\u6709\u53ef\u80fd\u4e00\u53f0\u673a\u5668\u5c06\u4e0d\u540c\u7684\u7ec4\u4ef6\u7ec4\u88c5\u5230\u4e00\u8d77\u5f62\u6210\u4e00\u4e2a\u65b0\u673a\u5668\uff0c\u800c\u8fd9\u53f0\u65b0\u673a\u5668\u548c\u5b83\u81ea\u5df1\u662f\u4e00\u6a21\u4e00\u6837\u7684\u5462\uff1f\u8fd9\u6837\u7684\u673a\u5668\u5c31\u662f\u4e00\u53f0\u80fd\u591f\u8fdb\u884c\u81ea\u6211\u7e41\u6b96\u7684\u673a\u5668\uff01<\/span><\/section>\n

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\u6709\u4e86\u8fd9\u4e2a\u76ee\u6807\uff0c\u51af\u00b7\u8bfa\u4f9d\u66fc\u5374\u5728\u81ea\u5df1\u7684\u79d1\u7814\u8fdb\u5c55\u4e2d\u9047\u5230\u4e86\u969c\u788d\u3002\u4e00\u4e2a\u5173\u952e\u95ee\u9898\u662f\uff0c\u5f53\u65f6\u7684\u4eba\u5de5\u673a\u5668\u90e8\u4ef6\u975e\u5e38\u6602\u8d35\uff0c\u8981\u5f00\u53d1\u51fa\u4e00\u53f0\u771f\u6b63\u7684\u80fd\u591f\u81ea\u6211\u7e41\u6b96\u7684\u673a\u5668\u9700\u8981\u8017\u8d39\u5927\u7b14\u7684\u8d44\u91d1\u3002\u8fd9\u4e2a\u65f6\u5019\uff0c\u4ed6\u7684\u597d\u670b\u53cb\u2014\u2014\u4e00\u4e2a\u540d\u53eb\u4e4c\u62c9\u59c6<\/span>\uff08Ulam\uff09<\/span>\u7684\u6570\u5b66\u5bb6\u7ed9\u4ed6\u63d0\u4f9b\u4e86\u4e00\u6761\u5b9d\u8d35\u7684\u5efa\u8bae\uff1a\u4e3a\u4ec0\u4e48\u4e0d\u5728\u4e00\u4e2a\u865a\u62df\u7684\u4e16\u754c\u4e2d\u521b\u9020\u4f60\u7684\u81ea\u7e41\u6b96\u673a\u5668\u5462\uff1f\u5c31\u6bd4\u5982\u4e00\u4e2a\u4e8c\u7ef4\u7684\u68cb\u76d8\u4e16\u754c\uff1f<\/span><\/section>\n

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\u5bf9\u5440\uff0c\u865a\u62df\u4e16\u754c\u6709\u5f88\u591a\u597d\u5904\uff0c\u5176\u4e2d\u6700\u5927\u7684\u597d\u5904\u5c31\u662f\u53ef\u4ee5\u7701\u53bb\u5927\u7b14\u7684\u7ecf\u8d39\u3002\u4e8e\u662f\uff0c\u51af\u00b7\u8bfa\u4f9d\u66fc\u91c7\u7eb3\u4e86\u4e4c\u62c9\u59c6\u7684\u5efa\u8bae\uff0c\u771f\u7684\u5728\u4e00\u4e2a\u4e8c\u7ef4\u7684\u865a\u62df\u4e16\u754c\u4e2d\u8bbe\u8ba1\u51fa\u4e86\u8fd9\u6837\u4e00\u53f0\u80fd\u591f\u81ea\u6211\u7e41\u6b96\u7684\u673a\u5668\u3002\u540e\u6765\uff0c\u4eba\u4eec\u5c31\u5c06\u8fd9\u4e2a\u4e8c\u7ef4\u7684\u865a\u62df\u4e16\u754c\u6a21\u578b\u53eb\u505a\u4e8c\u7ef4\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3002<\/span><\/section>\n

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\u51af\u00b7\u8bfa\u4f9d\u66fc\u7684\u8fd9\u4e00\u5de5\u4f5c\u5f71\u54cd\u4e86\u540e\u6765\u7684\u5f88\u591a\u4eba\uff0c\u5305\u62ec\u8457\u540d\u7684\u9057\u4f20\u7b97\u6cd5\u4e4b\u7236 John Holland\uff0c\u4eba\u5de5\u751f\u547d\u4e4b\u7236 C.G. Langton\uff0c\u8fd8\u5305\u62ec\u5f53\u65f6\u8fd8\u5f88\u5e74\u8f7b\u7684 Wolfram\u3002<\/span><\/section>\n

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Wolfram\u548c\u4ed6\u7684\u300a\u4e00\u79cd\u65b0\u79d1\u5b66\u300b<\/span><\/section>\n

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Wolfram\u662f\u4e00\u4e2a\u5177\u6709\u4f20\u5947\u7ecf\u5386\u7684\u4eba\uff0c\u4ed6\u4e8e1959\u5e74\u51fa\u751f\u5728\u4f26\u6566\uff0c\u66fe\u5c31\u8bfb\u4e8e\u725b\u6d25\u5927\u5b66\u300215\u5c81\u7684\u65f6\u5019\uff0c\u4ed6\u5c31\u53d1\u8868\u4e86\u7b2c\u4e00\u7bc7\u5b66\u672f\u8bba\u6587\uff1b22\u5c81\u7684\u65f6\u5019\uff0c\u7531\u4e8e\u4ed6\u7684\u6770\u51fa\u6210\u7ee9\u800c\u83b7\u7f8e\u56fd\u8457\u540d\u7684Mac Arthur\u5927\u5956\uff0c\u5e76\u6210\u4e3a\u6b64\u5956\u9879\u6700\u5e74\u8f7b\u7684\u83b7\u5956\u8005\u3002\u540e\u6765\uff0c\u4ed6\u66fe\u5148\u540e\u5230\u666e\u6797\u65af\u987f\u9ad8\u7ea7\u7814\u7a76\u9662\u3001\u4f0a\u5229\u8bfa\u4f0a\u65af\u5927\u5b66\u5f53\u6559\u6388\uff0c\u4e13\u804c\u4ece\u4e8b\u79d1\u7814\u3002<\/span><\/section>\n

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\u57281980\u5e74\u4ee3\u4e2d\u671f\uff0cWolfram\u4ece\u65e9\u671f\u7684\u9ad8\u80fd\u7269\u7406\u7814\u7a76\u9886\u57df\u8f6c\u5411\u4e86\u7528\u8ba1\u7b97\u673a\u63a2\u7d22\u590d\u6742\u6027\u79d1\u5b66\u7684\u7814\u7a76\uff0c\u6b63\u662f\u5728\u90a3\u4e2a\u65f6\u671f\uff0c\u4ed6\u53d1\u8868\u4e86\u591a\u7bc7\u6709\u5173\u4e00\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7406\u8bba\u7684\u8bba\u6587\uff0c\u800c\u5960\u5b9a\u4e86\u4ed6\u5728\u8be5\u9886\u57df\u7684\u6743\u5a01\u4f4d\u7f6e\u3002\u7136\u800c\uff0c\u6b63\u5f53\u4ed6\u7684\u5b66\u672f\u751f\u6daf\u84b8\u84b8\u65e5\u4e0a\u7684\u65f6\u5019\uff0cWolfram \u6bc5\u7136\u8f9e\u53bb\u4e86\u4ed6\u5728\u4f0a\u5229\u8bfa\u4f0a\u65af\u5927\u5b66\u7684\u6559\u804c\uff0c\u539f\u56e0\u662f\u5f53\u65f6\u7684\u5927\u5b66\u4f53\u5236\u5f88\u96be\u4e13\u95e8\u62e8\u7ecf\u8d39\u652f\u6301\u4ed6\u5728\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd9\u4e2a\u201c\u602a\u5f02\u201d\u7684\u9886\u57df\u4e2d\u7684\u7814\u7a76\u3002<\/span><\/section>\n

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\u867d\u7136 Wolfram \u653e\u5f03\u4e86\u4ed6\u8f89\u714c\u7684\u5b66\u672f\u751f\u6daf\uff0c\u5374\u5f00\u8f9f\u4e86\u53e6\u4e00\u7247\u5d2d\u65b0\u7684\u5929\u7a7a\u3002\u4ed6\u4e8e1986\u5e74\u4eb2\u624b\u521b\u529e\u4e86\u4ee5\u4ed6\u81ea\u5df1\u547d\u540d\u7684Wolfram Research\u516c\u53f8\uff0c\u5f00\u59cb\u5f00\u53d1\u8457\u540d\u7684\u6570\u5b66\u8f6f\u4ef6Mathematica\uff0c\u5e76\u51ed\u501f\u7740\u8be5\u8f6f\u4ef6\u7684\u5546\u4e1a\u6210\u529f\u800c\u6210\u4e3a\u4ebf\u4e07\u5bcc\u7fc1\u3002\u7136\u800c\uff0c\u5c31\u5728\u4ed6\u5546\u4e1a\u521a\u521a\u6210\u529f\u7684\u65f6\u5019\uff0c\u4ed6\u5374\u6bc5\u7136\u518d\u6b21\u8d70\u8fdb\u4e86\u4e66\u623f\uff0c\u5728\u8ba1\u7b97\u673a\u524d\u6446\u5f04\u8d77\u4e86\u8ba1\u7b97\u673a\u7a0b\u5e8f\uff0c\u56e0\u4e3a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3001\u590d\u6742\u6027\u79d1\u5b66\u5bf9\u4e8e\u4ed6\u6765\u8bf4\u592a\u8bf1\u4eba\u4e86\uff01<\/span><\/section>\n

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\u5c31\u8fd9\u6837\uff0c\u57281991\u5e74\u7b2c\u4e8c\u7248Mathematica\u9762\u4e16\u7684\u65f6\u5019\uff0c\u4ed6\u8eb2\u8fdb\u4e86\u4e66\u623f\u5f00\u59cb\u4e86\u957f\u8fbe10\u591a\u5e74\u7684\u5199\u4f5c\u3002\u7ec8\u4e8e\uff0c2002\u5e745\u6708\uff0cA New Kind of Science \u9762\u4e16\u4e86\u3002\u8fd9\u672c\u6d0b\u6d0b\u6d12\u6d12\u7684\u539a\u8fbe1000\u591a\u9875\u7684\u5927\u90e8\u5934\u521b\u9020\u4e86\u591a\u9879\u5947\u8ff9\uff1a\u6574\u672c\u4e66\u5f88\u5c11\u770b\u89c1\u6570\u5b66\u516c\u5f0f\uff0c\u800c\u5168\u90e8\u7528\u56fe\u5f62\u8fdb\u884c\u79d1\u5b66\u63a8\u7406\u751a\u81f3\u8bc1\u660e\uff1b\u5168\u4e66\u5206\u6210\u6b63\u6587\u548c\u6279\u6ce8\u4e24\u90e8\u5206\uff0c\u800c\u6279\u6ce8\u5374\u5360\u636e\u4e861\/3\u7684\u7a7a\u95f4\uff1b\u6574\u672c\u4e66\u6ca1\u6709\u53c2\u8003\u6587\u732e\uff0c\u6240\u6709\u7684\u5386\u53f2\u76f8\u5173\u5de5\u4f5c\u4ecb\u7ecd\u90fd\u653e\u5230\u4e86\u6279\u6ce8\u4e2d\uff1b\u4e66\u4e2d\u63d0\u51fa\u4e86\u5f88\u591a\u5927\u80c6\u7684\u731c\u60f3\uff0c\u5982\uff1a\u6211\u4eec\u751f\u6d3b\u7684\u4e16\u754c\u5c31\u662f\u4e00\u4e2a\u88ab\u8ba1\u7b97\u673a\u6a21\u62df\u51fa\u6765\u7684\u4e16\u754c\u7b49\u7b49\u3002Wolfram\u7684\u8fc7\u706b\u6311\u8845\u884c\u4e3a\u60f9\u6bdb\u4e86\u7f8e\u56fd\u5b66\u672f\u754c\u3002\u7136\u800c\uff0c\u8fd9\u5e76\u4e0d\u5f71\u54cd\u8be5\u4e66\u7684\u6d41\u884c\uff0c\u751a\u81f3\u4e00\u8dc3\u6210\u4e3a\u5f53\u5e74\u4e9a\u9a6c\u900a\u7f51\u7ad9\u7684\u9500\u91cf\u6392\u884c\u9996\u4f4d\u3002<\/span><\/section>\n

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\u5c31\u662f\u8fd9\u6837\uff0c\u5728\u4e00\u7247\u550f\u5618\u548c\u4e89\u8bae\u58f0\u4e2d\uff0cWolfram\u7684\u65b0\u79d1\u5b66\u8d70\u8fc7\u4e86\u4e94\u4e2a\u5e74\u5934\u3002\u7136\u800c\uff0cWolfram\u7684\u65b0\u79d1\u5b66\u7a76\u7adf\u5728\u8bb2\u4ec0\u4e48\uff1f\u4ed6\u80fd\u7ed9\u590d\u6742\u6027\u79d1\u5b66\u591a\u5c11\u672c\u8d28\u7684\u8d21\u732e\u5462\uff1f\u8ba9\u6211\u4eec\u6765\u6b63\u5f0f\u5f00\u59cb\u6211\u4eec\u7684NKS\u4e4b\u65c5\u3002<\/span><\/section>\n

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\u5f88\u591a\u4eba\u90fd\u8ba4\u4e3a\uff0cNKS\u5c31\u662f\u4e00\u4e2a\u7814\u7a76\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u79d1\u5b66\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u79cd\u8ba4\u8bc6\u662f\u4e0d\u5b8c\u5168\u7684\u3002\u5982\u679c\u7528\u4e00\u53e5\u8bdd\u6982\u62ec\uff0c\u90a3\u4e48NKS\u5c31\u662f\u4e00\u79cd\u7814\u7a76\u5404\u79cd\u201c\u8ba1\u7b97\u5b87\u5b99\u201d\u7684\u79d1\u5b66\u3002\u800c\u6240\u8c13\u7684\u201c\u8ba1\u7b97\u5b87\u5b99\u201d\uff0c\u5c31\u662f\u6307\u7531\u5404\u79cd\u7b80\u5355\u7684\u8ba1\u7b97\u673a\u7a0b\u5e8f\u521b\u9020\u7684\u4e16\u754c\u3002\u6211\u4eec\u6765\u770b\u51e0\u4e2a\u4f8b\u5b50\uff1a<\/span><\/section>\n

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3.1 \u56fe\u7075\u673a<\/span><\/strong><\/span><\/h3>\n
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\u6211\u4eec\u90fd\u77e5\u9053\u963f\u5170\u56fe\u7075\u8fd9\u4e2a\u4eba\uff0c\u4ed6\u6700\u65e9\u63d0\u51fa\u4e86\u8ba1\u7b97\u673a\u7684\u539f\u578b\uff1a\u56fe\u7075\u673a\u3002\u6240\u8c13\u7684\u56fe\u7075\u673a\u5c31\u662f\u6307\u4e00\u4e2a\u62bd\u8c61\u7684\u673a\u5668\uff0c\u5b83\u6709\u4e00\u6761\u65e0\u9650\u957f\u7684\u7eb8\u5e26\uff0c\u7eb8\u5e26\u5206\u6210\u4e86\u4e00\u4e2a\u4e00\u4e2a\u7684\u5c0f\u65b9\u683c\uff0c\u6bcf\u4e2a\u65b9\u683c\u6709\u4e0d\u540c\u7684\u989c\u8272\u3002\u6709\u4e00\u4e2a\u673a\u5668\u5934\u5728\u7eb8\u5e26\u4e0a\u79fb\u6765\u79fb\u53bb\u3002\u673a\u5668\u5934\u6709\u4e00\u7ec4\u5185\u90e8\u72b6\u6001\uff0c\u8fd8\u6709\u4e00\u4e9b\u56fa\u5b9a\u7684\u7a0b\u5e8f\u3002\u5728\u6bcf\u4e2a\u65f6\u523b\uff0c\u673a\u5668\u5934\u90fd\u8981\u4ece\u5f53\u524d\u7eb8\u5e26\u4e0a\u8bfb\u5165\u4e00\u4e2a\u65b9\u683c\u4fe1\u606f\uff0c\u7136\u540e\u7ed3\u5408\u81ea\u5df1\u7684\u5185\u90e8\u72b6\u6001\u67e5\u627e\u7a0b\u5e8f\u8868\uff0c\u6839\u636e\u7a0b\u5e8f\u8f93\u51fa\u4fe1\u606f\u5230\u7eb8\u5e26\u65b9\u683c\u4e0a\uff0c\u5e76\u8f6c\u6362\u81ea\u5df1\u7684\u5185\u90e8\u72b6\u6001\uff0c\u7136\u540e\u8fdb\u884c\u79fb\u52a8\u3002<\/span><\/section>\n

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\u5728NKS\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u4e0d\u540c\u65f6\u523b\u7684\u7eb8\u5e26\u50cf\u4e00\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e00\u6837\u6392\u5728\u4e00\u8d77\u5f62\u6210\u4e00\u4e2a\u4e8c\u7ef4\u7684\u4e16\u754c\u3002\u800c\u673a\u5668\u5934\u53ef\u4ee5\u7528\u4e00\u4e2a\u9ed1\u70b9\u8868\u793a\uff0c\u5982\u56fe\uff1a<\/span><\/section>\n

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\u5c0f\u9ed1\u7bad\u5934\u5c31\u662f\u56fe\u7075\u673a\u7684\u8bfb\u5199\u5934\uff0c\u5b83\u4f1a\u5728\u7eb8\u5e26\u4e0a\u79fb\u6765\u79fb\u53bb\u753b\u51fa\u6f02\u4eae\u7684\u6298\u7ebf\u3002\u673a\u5668\u5934\u7684\u4e0d\u540c\u72b6\u6001\u5bf9\u5e94\u8fd9\u4e2a\u5c0f\u9ed1\u7bad\u5934\u7684\u4e0d\u540c\u671d\u5411\uff0c\u800c\u673a\u5668\u5934\u9075\u5faa\u7684\u89c4\u5219\u5c31\u5bf9\u5e94\u4e86\u8fd9\u6837\u4e00\u7ec4\u56fe\u6807\uff1a<\/span><\/section>\n
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\u8fd9\u662f\u4e00\u4e2a\u5177\u6709\u4e24\u4e2a\u65b9\u683c\u989c\u8272\u3001\u4e09\u4e2a\u5185\u90e8\u72b6\u6001\uff08\u5206\u522b\u5bf9\u5e94\u4e86\u4e09\u79cd\u4e0d\u540c\u7684\u7bad\u5934\u89d2\u5ea6\uff09\u7684\u56fe\u7075\u673a\u3002\u7b2c\u4e00\u6761\u89c4\u5219\u8868\u793a\u5982\u679c\u673a\u5668\u5934\u5f53\u524d\u8bfb\u5165\u7684\u65b9\u683c\u662f\u9ed1\u8272\u7684\uff0c\u4e14\u5185\u90e8\u72b6\u6001\u4e3a1\uff0c\u90a3\u4e48\u673a\u5668\u5934\u5c31\u628a\u9ed1\u8272\u64e6\u53bb\uff0c\u5e76\u4e14\u53f3\u79fb\u4e00\u683c\uff0c\u5185\u90e8\u72b6\u6001\u75311\u8f6c\u62102\uff0c\u2026\u2026<\/span><\/section>\n

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\u4f20\u7edf\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u5c06\u56fe\u7075\u673a\u89c6\u4e3a\u4e00\u79cd\u8ba1\u7b97\u7684\u5de5\u5177\uff0c\u5373\u7ed9\u56fe\u7075\u673a\u7f16\u5199\u9002\u5f53\u7684\u89c4\u5219\u8868\u8ba9\u5b83\u5b8c\u6210\u67d0\u79cd\u8ba1\u7b97\u4efb\u52a1\uff0c\u4f8b\u5982\u8ba1\u7b971+3\u3002\u4f46\u662f\u5728NKS\u4e2d\uff0c\u6211\u4eec\u5173\u5fc3\u7684\u4e0d\u518d\u662f\u8ba1\u7b97\u4efb\u52a1\uff0c\u800c\u5c31\u662f\u89c2\u5bdf\u5f53\u7ed9\u5b9a\u4e00\u7ec4\u89c4\u5219\u540e\uff0c\u7a0b\u5e8f\u5982\u4f55\u884c\u4e3a\u3002\u4e5f\u5c31\u662f\u8bf4\uff0cNKS\u4ec5\u4ec5\u5173\u5fc3\u56fe\u7075\u673a\u5728\u4e00\u7ef4\u7eb8\u5e26\u4e0a\u5199\u51fa\u7684\u56fe\u5f62\u3002\u56e0\u6b64\uff0c\u4e0d\u540c\u7684\u7a0b\u5e8f\u5728\u76f8\u540c\u7684\u7eb8\u5e26\u4e0a\u7ecf\u8fc7\u591a\u6b65\u8ba1\u7b97\u80fd\u591f\u5f62\u6210\u975e\u5e38\u4e0d\u540c\u7684\u56fe\u5f62\u3002\u4f8b\u5982\uff0c\u4e0b\u9762\u5c31\u662f\u4e00\u4e2a3\u79cd\u989c\u8272\uff0c2\u79cd\u72b6\u6001\u7684\u56fe\u7075\u673a\u4ea7\u751f\u7684\u56fe\u5f62\uff1a<\/span><\/section>\n

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\u6211\u4eec\u770b\u5230\u4e86\u4e00\u526f\u6f02\u4eae\u7684\u56fe\u5f62\uff0c\u5b83\u5c31\u662f\u7528\u56fe\u7075\u673a\u753b\u51fa\u6765\u7684\u3002\u56e0\u6b64\uff0c\u7ed9\u5b9a\u7b80\u5355\u7684\u89c4\u5219\uff0c\u653e\u624b\u8ba9\u7a0b\u5e8f\u6f14\u5316\uff0c\u8fd9\u5c31\u662fNKS\u7814\u7a76\u8ba1\u7b97\u5b87\u5b99\u7684\u65b9\u6cd5\u3002<\/span>\uff08\u6709\u5173\u56fe\u7075\u673a\u7684\u66f4\u8be6\u7ec6\u4ecb\u7ecd\uff0c\u8bf7\u53c2\u770b\uff1ahttp:\/\/www.swarmagents.com\/vm\/articles\/turing.pdf\uff09<\/span><\/section>\n


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3.2 \u66ff\u4ee3\u7cfb\u7edf\uff08Substitution systems\uff09<\/span><\/strong><\/span><\/h3>\n

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\u53e6\u5916\u4e00\u79cd\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u5e38\u7528\u7684\u8ba1\u7b97\u6a21\u578b\u5c31\u662f\u62bd\u8c61\u7684\u91cd\u5199\u89c4\u5219\u7cfb\u7edf\uff0c\u4f8b\u5982\uff0c\u91cd\u5199\u89c4\u5219\uff1aA–>AB\uff0cB–>BA\u3002\u4ece\u4e00\u4e2a\u5b57\u7b26\u4e32\u5f00\u59cb\u7ecf\u8fc7\u53cd\u590d\u91cd\u5199\uff0c\u53ef\u4ee5\u5f97\u5230\u975e\u5e38\u590d\u6742\u7684\u5b57\u7b26\u4e32\u3002NKS\u7684\u7814\u7a76\u65b9\u6cd5\u4ecd\u7136\u662f\u5c06\u4e0d\u540c\u6b65\u9aa4\u5f97\u5230\u7684\u5b57\u7b26\u4e32\u6392\u6210\u4e00\u884c\u4e00\u884c\u7684\uff0c\u6bcf\u4e2a\u5b57\u7b26\u4e32\u90fd\u8f6c\u5316\u6210\u4e0d\u540c\u989c\u8272\u7684\u65b9\u683c\uff0c\u4e8e\u662f\uff0c\u6211\u4eec\u4ecd\u7136\u80fd\u5f97\u5230\u4e00\u4e9b\u4e8c\u7ef4\u7684Pattern<\/span>\uff08\u6784\u578b\uff09<\/span>\uff0c\u5982\u4e0a\u9762\u63d0\u5230\u7684\u91cd\u5199\u89c4\u5219\u53ef\u4ee5\u5f97\u5230\uff1a<\/span><\/section>\n

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3.3 \u81ea\u7136\u6570<\/span><\/strong><\/span><\/h3>\n

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\u4e0a\u9762\u8ba8\u8bba\u7684\u8ba1\u7b97\u7cfb\u7edf\u90fd\u662f\u5bf9\u4e00\u4e9b\u62bd\u8c61\u5143\u7d20\u7684\u64cd\u4f5c\uff0c\u7136\u800c\u4f20\u7edf\u6570\u5b66\u4e2d\u7684\u8ba1\u7b97\u5219\u5f3a\u8c03\u7684\u662f\u5bf9\u6570\u7684\u64cd\u4f5c\u3002\u90a3\u4e48NKS\u80fd\u4e0d\u80fd\u8ba8\u8bba\u5bf9\u6570\u7684\u8fd0\u7b97\u5462\uff1f\u4e0b\u9762\u5c31\u662f\u4e00\u4e2a\u4f8b\u5b50\uff0c\u6211\u4eec\u4ece\u6570\u5b571\u5f00\u59cb\uff0c\u7136\u540e\u7528\u6700\u7b80\u5355\u7684\u8fd0\u7b97+1\u8fdb\u884c\u53cd\u590d\u7684\u8fed\u4ee3\u3002\u663e\u7136\uff0c\u6211\u4eec\u4f1a\u5f97\u5230\u5e8f\u52171\uff0c2\uff0c3\uff0c\u2026\u2026\u3002\u8fd9\u5f88\u5e73\u6de1\u65e0\u5947\uff0c\u4f46\u662f\u5982\u679c\u6211\u4eec\u628a\u8fd9\u4e9b\u6570\u5b57\u8868\u793a\u6210\u4e8c\u8fdb\u5236\u6570\uff0c\u90a3\u4e48\u6211\u4eec\u4ecd\u7136\u53ef\u4ee5\u628a\u5b83\u4eec\u6392\u5217\u6210\u4e00\u884c\u4e00\u884c\u7684\u65b9\u683c\uff0c\u5176\u4e2d\u9ed1\u8272\u8868\u793a\u4e8c\u8fdb\u5236\u76841\uff0c\u800c\u767d\u8272\u8868\u793a0\uff0c\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5f97\u5230\u4e0b\u9762\u7684\u56fe\u6848\uff1a<\/span><\/section>\n

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\u6ce8\uff1a\u8fd9\u5f20\u56fe\u7684\u4e8c\u8fdb\u5236\u6570\u6392\u5217\u662f\u9760\u53f3\u8fb9\u5bf9\u9f50\u7684<\/span><\/section>\n

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\u4ee4\u4eba\u5403\u60ca\u7684\u662f\uff0c\u5373\u4f7f\u8fd9\u6837\u4e00\u4e2a\u7b80\u5355\u7684n=n+1\u7684\u6570\u5b66\u64cd\u4f5c\u4ecd\u7136\u53ef\u4ee5\u5f97\u5230\u4e00\u79cd\u590d\u6742\u7684\u81ea\u5305\u542b\u7684\u56fe\u5f62\u7ed3\u6784\u3002\u6240\u4ee5\uff0c\u65b0\u7684\u8868\u8fbe\u548c\u89c2\u5bdf\u65b9\u6cd5\u5f80\u5f80\u80fd\u591f\u7ed9\u4eba\u4eec\u5e26\u6765\u610f\u60f3\u4e0d\u5230\u7684\u6536\u83b7\u3002\u5728NKS\u4e2d\uff0cWolfram\u7814\u7a76\u4e86\u5404\u79cd\u5404\u6837\u7684\u7b80\u5355\u8ba1\u7b97\u7cfb\u7edf\uff0c\u7136\u800c\u6240\u6709\u8fd9\u4e9b\u7814\u7a76\u90fd\u662f\u5fd8\u8bb0\u8ba1\u7b97\u7cfb\u7edf\u7684\u610f\u4e49\u548c\u4efb\u52a1\uff0c\u56e0\u4e3a\u53ea\u6709\u5f53\u6211\u4eec\u4e0d\u518d\u8ba9\u8ba1\u7b97\u673a\u7a0b\u5e8f\u786c\u6027\u7684\u8fdb\u884c\u67d0\u79cd\u8fd0\u7b97\uff0c\u800c\u5c31\u662f\u7ed9\u5b83\u4eec\u63d0\u4f9b\u821e\u53f0\uff0c\u653e\u624b\u8ba9\u5b83\u4eec\u6f14\u5316\uff0c\u90a3\u4e48\uff0c\u5b83\u4eec\u624d\u4f1a\u7528\u5404\u79cd\u5404\u6837\u7684\u82b1\u7eb9\u6765\u8868\u73b0\u5b83\u4eec\u81ea\u5df1\u7684\u771f\u5b9e\u672c\u6027\u3002<\/span><\/section>\n

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4. \u8046\u542c\u8ba1\u7b97\u7684\u58f0\u97f3<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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4.1 \u5143\u80de\u81ea\u52a8\u673a\u7684\u5206\u7c7b<\/span><\/strong><\/span><\/h3>\n

<\/span><\/section>\n
\u5f53\u6211\u4eec\u5fd8\u6389\u4e86\u6bd4\u7279\u7684\u610f\u4e49\uff0c\u7ed9\u5b83\u4eec\u91ca\u653e\u4e86\u81ea\u7531\uff0c\u6211\u4eec\u80fd\u505a\u4ec0\u4e48\u624d\u80fd\u8046\u542c\u5b83\u4eec\u7684\u8bed\u8a00\u5462\uff1f\u6211\u4eec\u8981\u5b66\u4e60\u751f\u7269\u5b66\u5bb6\uff0c\u5bf9\u8ba1\u7b97\u673a\u751f\u6210\u7684\u5404\u79cdPattern\u5206\u7c7b\uff01\u65e9\u57281980\u5e74\u4ee3\uff0cWolfram\u5c31\u53d1\u73b0\uff0c\u4e00\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5728\u968f\u673a\u7684\u521d\u59cb\u6761\u4ef6\u4e0b\u6240\u4ea7\u751f\u7684\u82b1\u7eb9\u53ef\u4ee5\u5f52\u7ed3\u4e3a4\u7c7b\uff0c\u5b83\u4eec\u662f\uff1a <\/span><\/section>\n
1. \u56fa\u5b9a\u503c\u578b<\/strong>\uff1a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6f14\u5316\u5230\u4e00\u5b9a\u65f6\u523b\u5c31\u53d8\u6210\u4e86\u4e00\u79cd\u989c\u8272\u7684\u65b9\u683c\uff1b <\/span><\/section>\n
2. \u5468\u671f\u578b<\/strong>\uff1a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u56fa\u5b9a\u5728\u5177\u6709\u4e00\u5b9a\u5faa\u73af\u7ed3\u6784\u4e2d\u4e0d\u518d\u6539\u53d8\uff1b <\/span><\/section>\n
3. \u6df7\u6c8c\u578b<\/strong><\/span>\uff08\u6216\u53eb\u968f\u673a\u7c7b\u578b\uff09<\/span>\uff1a\u7ed3\u6784\u5728\u4e0d\u505c\u7684\u53d8\u5316\uff0c\u4f46\u662f\u5b83\u4eec\u6ca1\u6709\u786e\u5b9a\u7684\u53d8\u5316\u89c4\u5f8b\uff1b <\/span><\/section>\n
4. \u590d\u6742\u578b<\/strong>\uff1a\u8fd9\u7c7b\u7ed3\u6784\u4ecb\u4e8e\u5b8c\u5168\u79e9\u5e8f\u4e0e\u5b8c\u5168\u6df7\u6c8c\u4e4b\u95f4\uff0c\u4f1a\u4ea7\u751f\u4e00\u4e9b\u5c40\u90e8\u7684\u590d\u6742\u7ed3\u6784\uff0c\u4f46\u6574\u4f53\u4f3c\u4e4e\u53c8\u4e0d\u662f\u5b8c\u5168\u6df7\u6c8c\u968f\u673a\u3002<\/span><\/section>\n

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\u5982\u4e0b\u56fe\uff0c\u8868\u793a\u4e864\u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6f14\u5316\u7ed3\u679c\uff1a<\/span><\/section>\n

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<\/section>\n

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\u8fdb\u4e00\u6b65\uff0c\u5728NKS\u4e66\u4e2d\u5bf9\u8fd9\u56db\u7c7b\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u53c8\u8fdb\u884c\u4e86\u6df1\u5165\u7814\u7a76\uff0c\u4f8b\u5982\u6bd4\u8f83\u4e86\u5b83\u4eec\u7684\u4fe1\u606f\u4f20\u9012\u60c5\u51b5\uff1a<\/span><\/section>\n

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\u8fd9\u662f\u56db\u79cd\u7c7b\u578b\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4fe1\u606f\u4f20\u64ad\u7684\u60c5\u51b5\u3002\u5728\u6bcf\u4e00\u79cd\u7c7b\u578b\u4e2d\uff0c\u6211\u4eec\u90fd\u8fd0\u884c\u76f8\u540c\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e24\u6b21\uff0c\u4f46\u662f\u8fd9\u4e24\u6b21\u7684\u521d\u59cb\u6761\u4ef6\u7565\u5fae\u4e0d\u540c\uff0c\u5373\u552f\u72ec\u4e2d\u5fc3\u7684\u65b9\u683c\u53d8\u5316\u4e86\u989c\u8272\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u53ef\u4ee5\u8003\u5bdf\u8fd9\u4e00\u4e2a\u53d8\u5316\u989c\u8272\u7684\u65b9\u683c\u4f1a\u5bf9\u6574\u4f53\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u7ed3\u6784\u4ea7\u751f\u4ec0\u4e48\u5f71\u54cd\u3002\u5982\u679c\u5728\u67d0\u4e00\u65f6\u523b\u67d0\u4e00\u65b9\u683c\u5728\u7b2c\u4e8c\u6b21\u8fd0\u884c\u4e0e\u7b2c\u4e00\u6b21\u8fd0\u884c\u7684\u989c\u8272\u4e0d\u540c\u4e86\uff0c\u5219\u628a\u8fd9\u4e2a\u65b9\u683c\u6d82\u6210\u9ed1\u8272\u3002\u6ca1\u6709\u53d8\u5316\u7684\u65b9\u683c\u7528\u767d\u8272\u548c\u7070\u8272\u8868\u793a\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u6211\u4eec\u770b\u5230\u5fae\u5c0f\u7684\u521d\u59cb\u6761\u4ef6\u6270\u52a8\u4f1a\u5bf9\u56db\u7c7b\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4ea7\u751f\u4e0d\u540c\u7684\u5f71\u54cd\u3002\u5bf9\u4e8e\u7b2c\u4e00\u7c7b\uff0c\u8fd9\u79cd\u6270\u52a8\u4e1d\u6beb\u6ca1\u6709\u5f71\u54cd\uff1b\u5bf9\u4e8e\u7b2c\u4e8c\u7c7b\uff0c\u521d\u59cb\u6761\u4ef6\u7684\u6539\u53d8\u5bf9\u6574\u4f53\u7684\u5f71\u54cd\u4f1a\u96c6\u4e2d\u5728\u4e2d\u5fc3\u7684\u51e0\u4e2a\u65b9\u683c\u4e2d\u4e0d\u4f1a\u6269\u6563\u3002\u800c\u5bf9\u4e8e\u7b2c\u4e09\u7c7b\uff0c\u5219\u4e00\u4e2a\u5c0f\u7684\u6539\u52a8\u5c31\u4f1a\u9020\u6210\u5927\u8303\u56f4\u7684\u65b9\u683c\u989c\u8272\u7684\u6539\u53d8\uff0c\u5373\u6df7\u6c8c\u7cfb\u7edf\u4e2d\u666e\u904d\u5b58\u5728\u7684\u5bf9\u521d\u59cb\u6761\u4ef6\u7684\u654f\u611f\u6027\u3002\u5bf9\u4e8e\u7b2c\u56db\u7c7b\uff0c\u521d\u59cb\u6761\u4ef6\u7684\u6539\u53d8\u5bf9\u6574\u4f53\u7684\u5f71\u54cd\u65e2\u4e0d\u662f\u5f88\u5927\u4e5f\u4e0d\u662f\u5f88\u5c0f\u3002\u770b\u6765\u4ece\u4fe1\u606f\u4f20\u64ad\u7684\u673a\u5236\u4e0a\u6765\u770b\uff0c\u8fd9\u56db\u7c7b\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd8\u662f\u6709\u7740\u672c\u8d28\u4e0d\u540c\u7684\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u53e6\u5916\uff0cWolfram \u89c2\u5bdf\u5230\u7684\u4e00\u4e2a\u975e\u5e38\u666e\u904d\u7684\u73b0\u8c61\u662f\uff1a\u81ea\u76f8\u4f3c\u3001\u81ea\u5d4c\u5957\u7684\u5206\u5f62\u7ed3\u6784\u3002\u4e00\u4e2a\u6709\u8da3\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5c31\u662f\u88ab\u7f16\u53f7\u4e3a225\u76842\u989c\u8272\uff0c2\u90bb\u5c45\u7684\u4e00\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u5b83\u5728\u4e00\u4e2a\u9ed1\u65b9\u683c\uff0c\u5176\u4ed6\u90fd\u662f\u767d\u65b9\u683c\u7684\u521d\u59cb\u6761\u4ef6\u4e0b\u80fd\u591f\u4ea7\u751f\u4e0b\u9762\u7684\u56fe\u5f62\uff1a<\/span><\/section>\n

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\u5982\u679c\u628a\u8fd9\u4e2a\u56fe\u5f62\u4f5c\u4e00\u5b9a\u7684\u53d8\u5f62\uff1a\u5c06\u5176\u4ee5\u5bf9\u89d2\u7ebf\u4e3a\u8f74\u8fdb\u884c\u53cd\u8f6c\uff0c\u5e76\u5c06\u5176\u626d\u66f2\u8ba9\u4e2d\u95f4\u7684\u767d\u8272\u7ed3\u6784\u9760\u5de6\u8fb9\uff0c\u6211\u4eec\u80fd\u591f\u5f97\u5230\u53f3\u8fb9\u56fe\u5f62\uff1a<\/span><\/section>\n

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<\/section>\n
\u6ce8\uff1a\u53f3\u4e0a\u89d2\u7a7a\u51fa\u6765\u7684\u90e8\u5206\u6ca1\u6709\u4efb\u4f55\u5143\u80de<\/span><\/section>\n

<\/span><\/section>\n
\u6211\u4eec\u4f1a\u53d1\u73b0\u8fd9\u4e5f\u662f\u4e00\u4e2a\u5927\u623f\u5b50\u5957\u5c0f\u623f\u5b50\u7684\u7ed3\u6784\uff0c\u5b83\u548c\u524d\u9762\u63d0\u5230\u7684\u4e8c\u8fdb\u5236\u8868\u793a n=n+1 \u7684\u7ed3\u6784<\/span>\uff08\u5de6\u8fb9\uff09<\/span>\u60ca\u4eba\u7684\u76f8\u4f3c\uff01\u867d\u7136\u4e24\u5957\u7cfb\u7edf\u7684\u4ea7\u751f\u89c4\u5219\u975e\u5e38\u4e0d\u4e00\u6837\uff0c\u4f46\u662f\u4e3a\u4ec0\u4e48\u5b83\u4eec\u5374\u80fd\u5f97\u5230\u8fd9\u4e48\u76f8\u4f3c\u7684\u7ed3\u6784\u5462\uff1f\u4f3c\u4e4e\u7b80\u5355\u7a0b\u5e8f\u4eec\u6b63\u5728\u5411\u6211\u4eec\u4f20\u9012\u5b83\u4eec\u90a3\u4e2a\u4e16\u754c\u4e2d\u7684\u79d8\u5bc6\u3002<\/span><\/section>\n

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4.2 \u590d\u6742\u6027\u7684\u6781\u9650<\/span><\/strong><\/span><\/h3>\n

<\/span><\/section>\n
\u8fdb\u4e00\u6b65\uff0cWolfram\u8fd8\u5bf9\u5404\u79cd\u8ba1\u7b97\u5b87\u5b99\u8fdb\u884c\u4e86\u7a77\u4e3e\u8bd5\u9a8c\uff0c\u5305\u62ec\u4ec0\u4e48\u56fe\u7075\u673a\u3001\u66ff\u6362\u7cfb\u7edf\u3001Tag\u81ea\u52a8\u673a\u7b49\u7b49\uff0c\u53d1\u73b0\uff1a\u5927\u81f4\u4e0a\u8bf4\uff0c\u8fd9\u4e9b\u7cfb\u7edf\u4ea7\u751f\u7684\u56fe\u5f62\u4e5f\u53ef\u4ee5\u5f52\u7ed3\u4e3a\u90a3\u56db\u79cd\u7c7b\u578b\u3002\u800c\u4e14\uff0c\u6700\u91cd\u8981\u7684\u662f\uff0c\u7cfb\u7edf\u4ea7\u751f\u7684Pattern\u7684\u590d\u6742\u6027\u4f3c\u4e4e\u5e76\u4e0d\u4f1a\u968f\u7740\u7cfb\u7edf\u89c4\u5219\u590d\u6742\u6027\u7684\u589e\u957f\u800c\u589e\u957f\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u4e00\u822c\u8ba4\u4e3a\u4e8c\u7ef4\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6bd4\u4e00\u7ef4\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u89c4\u5219\u66f4\u590d\u6742\u3002\u7136\u800c\uff0c\u5f53\u6211\u4eec\u628a\u4e8c\u7ef4\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u538b\u7f29\u6210\u4e00\u7ef4\u7684\u65f6\u5019\uff0c\u4f1a\u770b\u5230\u548c\u4e00\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u975e\u5e38\u76f8\u4f3c\u7684\u7ed3\u6784\u3002\u4f8b\u5982\uff0c\u4e0b\u9762\u5c31\u662f\u5bf9\u8457\u540d\u7684\u4e8c\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff1a\u751f\u547d\u6e38\u620f\u6f14\u5316\u56fe\u5f62\u7684\u4e00\u4e2a\u4e00\u7ef4\u7684\u622a\u9762<\/span>\uff08\u8fd9\u91cc\u6709\u4e00\u4e2a\u975e\u5e38\u597d\u7684\u63a2\u7d22\u751f\u547d\u6e38\u620f\u7684\u8f6f\u4ef6\uff09<\/span>\uff1a<\/span><\/section>\n
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\u8fd9\u4e2a\u539f\u7406\u7684\u53d1\u73b0\uff0c\u4f3c\u4e4e\u544a\u8bc9\u6211\u4eec\u3002\u4e3a\u4e86\u5efa\u6a21\u590d\u6742\u7cfb\u7edf\uff0c\u5e76\u4e0d\u662f\u8d8a\u590d\u6742\u7684\u8ba1\u7b97\u673a\u6a21\u578b\u8d8a\u597d\uff0c\u56e0\u4e3a\u539f\u5219\u4e0a\u8bb2\uff0c\u66f4\u590d\u6742\u7684\u8ba1\u7b97\u673a\u89c4\u5219\u5e76\u4e0d\u4e00\u5b9a\u80fd\u591f\u5bfc\u81f4\u66f4\u590d\u6742\u7684\u8868\u73b0\u884c\u4e3a\u3002<\/span><\/section>\n


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5. CA\u6a21\u62df\u80a1\u5e02<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u6211\u4eec\u90fd\u77e5\u9053\uff0c\u7b80\u5355\u7a0b\u5e8f\u53ef\u4ee5\u6a21\u62df\u81ea\u7136\u754c\u7684\u751f\u957f\u73b0\u8c61\uff0c\u4f8b\u5982\u96ea\u82b1\u7684\u5f62\u6210\u3001\u6811\u7684\u751f\u957f\u3001\u52a8\u7269\u8868\u9762\u4e0a\u7684\u82b1\u7eb9\u7b49\u7b49\u3002\u8fd0\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd8\u53ef\u4ee5\u6a21\u62df\u81ea\u7136\u754c\u7684\u4e00\u4e9b\u590d\u6742\u7684\u975e\u7ebf\u6027\u8fc7\u7a0b\uff0c\u4f8b\u5982\u590d\u6742\u7684\u6d41\u4f53\u3001\u4ea4\u901a\u6d41\u7b49\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u5e94\u7528\u5176\u5b9e\u53c8\u56de\u5230\u4e86\u4e00\u822c\u8ba1\u7b97\u673a\u6a21\u62df\u7684\u8001\u8def\u4e0a\uff0c\u5373\u9488\u5bf9\u5177\u4f53\u95ee\u9898\uff0c\u8d4b\u4e88\u6bcf\u4e00\u4e2a\u6bd4\u7279\u4e00\u5b9a\u7684\u610f\u4e49\uff0c\u7136\u540e\u8ba9\u7cfb\u7edf\u53bb\u6f14\u5316\u3002<\/span><\/section>\n

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\u8003\u8651\u4e00\u4e2a\u7279\u5b9a\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u4f8b\u5982CA90<\/span>\uff08\u5bf91\u7ef4\u7684\u3001\u90bb\u5c45\u4e3a\u4e24\u4e2a\u7684\u5143\u80de\u81ea\u52a8\u673a\u7684\u7f16\u53f7\uff0c\u786e\u5b9a\u4e86\u4e00\u4e2a\u7f16\u53f7\u5c31\u786e\u5b9a\u4e86\u5b83\u7684\u4e00\u7ec4\u89c4\u5219\uff09<\/span>\uff0c\u5b83\u5f62\u6210\u7684\u56fe\u5f62\u548c\u4e00\u4e2a\u65f6\u95f4\u5e8f\u5217\u66f2\u7ebf\uff0c\u5982\u4e0b\u56fe\uff1a<\/span><\/section>\n

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\u4e0b\u9762\uff0cJason\u5c31\u7528\u8fd9\u4e2a\u751f\u6210\u7684\u65f6\u95f4\u5e8f\u5217\u66f2\u7ebf\u53bb\u62df\u5408\u771f\u5b9e\u7684\u80a1\u7968\u4ef7\u683c\u6570\u636e\u3002\u5177\u4f53\u65b9\u6cd5\u53ef\u4ee5\u662f\u901a\u8fc7\u8c03\u8282\u4e24\u79cd\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u6df7\u5408\u6bd4\u4f8b\uff0c\u4f8b\u5982\u4ece3:7\u8c03\u52308:2\uff0c\u4f7f\u5f97\u751f\u6210\u7684\u5e8f\u5217\u80fd\u591f\u548c\u771f\u5b9e\u6570\u636e\u5728\u5747\u65b9\u8bef\u5dee\u7684\u6761\u4ef6\u4e0b\u62df\u5408\u7684\u5f88\u597d\uff0c\u5982\u4e0b\u56fe\uff1a<\/span><\/section>\n

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\u6ce8\uff1a\u63a5\u4e0b\u6765\u4e24\u90e8\u5206\u7684\u5185\u5bb9\u8fc7\u4e8e\u6280\u672f\u5316\uff0c\u8bfb\u8005\u53ef\u4ee5\u6709\u9009\u62e9\u7684\u8df3\u8fc7\u3002<\/span><\/section>\n

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6. \u5173\u4e8e\u201c\u9ed1\u5ba2\u5e1d\u56fd\u201d\u7684\u7269\u7406\u5b66<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

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\u76f8\u4fe1\u8bfb\u8fd9\u7bc7\u6587\u7ae0\u7684\u4eba\u5927\u90e8\u5206\u90fd\u5e94\u8be5\u770b\u8fc7\u300a\u9ed1\u5ba2\u5e1d\u56fd\u300b\u8fd9\u90e8\u5f71\u7247\u3002\u4e0e\u5176\u4ed6\u7684\u597d\u83b1\u575e\u5f0f\u7684\u79d1\u5e7b\u7535\u5f71\u4e0d\u540c\uff0c\u8fd9\u4e2a\u5f71\u7247\u5177\u6709\u975e\u5e38\u6df1\u523b\u7684\u54f2\u5b66\u3001\u5b97\u6559\u5185\u6db5\uff0c\u751a\u81f3\u4e0e\u79d1\u5b66\u4e5f\u5bc6\u5207\u76f8\u5173\u3002\u867d\u7136\u5927\u4f17\u4e00\u822c\u8ba4\u4e3a\u8fd9\u662f\u4e00\u90e8\u6709\u5173\u201c\u4eba\u5de5\u667a\u80fd\u201d\u7684\u7247\u5b50\uff0c\u4f46\u662f\u4e0e\u8be5\u5f71\u7247\u66f4\u76f8\u50cf\u7684\u79d1\u5b66\u5012\u4e0d\u662f\u4f20\u7edf\u610f\u4e49\u4e0a\u7684\u4eba\u5de5\u667a\u80fd\uff0c\u800c\u662fWolfram\u7684\u201c\u4e00\u79cd\u65b0\u79d1\u5b66\u201d\u3002\u9ed1\u5ba2\u5e1d\u56fd\u4e2d\u63cf\u8ff0\u7684\u90a3\u4e2a\u5927\u578b\u7684\u63a7\u5236\u4eba\u7c7b\u7684\u8ba1\u7b97\u673a\u6a21\u62df\u7cfb\u7edfMatrix\u7a76\u7adf\u6709\u6ca1\u6709\u53ef\u80fd\u5462\uff1fNKS\u7684\u7b2c9\u7ae0\u201c\u57fa\u7840\u7269\u7406\u5b66\u201d\u5bf9\u8fd9\u4e00\u95ee\u9898\u8fdb\u884c\u4e86\u4e00\u7cfb\u5217\u7684\u63a2\u8ba8\u3002<\/span><\/section>\n

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\u8fd9\u4e00\u7ae0\u7684\u57fa\u672c\u51fa\u53d1\u70b9\u5c31\u662f\uff0c\u5982\u679c\u6211\u4eec\u5c31\u628a\u6211\u4eec\u751f\u6d3b\u7684\u5b87\u5b99\u770b\u4f5c\u662f\u4e00\u4e2a\u5927\u7684\u6a21\u62df\u7cfb\u7edf\uff0c\u90a3\u4e48\u6211\u4eec\u5c06\u80fd\u591f\u8d70\u591a\u8fdc\uff1f<\/strong><\/span><\/section>\n

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6.1 \u79bb\u6563\u7684\u683c\u5b50<\/span><\/strong><\/span><\/h3>\n

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\u91cf\u5b50\u529b\u5b66\u544a\u8bc9\u6211\u4eec\uff0c\u5f88\u6709\u53ef\u80fd\u5728\u975e\u5e38\u5fae\u5c0f\u7684\u5c3a\u5ea6\u4e0a\uff0c\u6211\u4eec\u6240\u751f\u6d3b\u7684\u7a7a\u95f4\u662f\u79bb\u6563\u7684\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b87\u5b99\u7684\u7a7a\u95f4\u4ece\u672c\u8d28\u4e0a\u8bb2\u5c31\u662f\u4e00\u5f20\u79bb\u6563\u7684\u5927\u7f51\u3002\u7136\u800c\uff0c\u7f51\u7edc\u662f\u6ca1\u6709\u7ef4\u5ea6\u7684\uff0c\u5b83\u548c\u6211\u4eec\u611f\u53d7\u5230\u7a7a\u95f4\u7684\u4e09\u4e2a\u7ef4\u5ea6\u4e0d\u540c\uff0c\u8fd9\u4e2a\u51b2\u7a81\u5982\u4f55\u89e3\u51b3\u5462\uff1f\u7b54\u6848\u5c31\u5728\u4e8e\u6d8c\u73b0\u3002\u9996\u5148\uff0c\u6211\u4eec\u770b\u4e00\u4e2a\u53cd\u95ee\u9898\uff0c\u5373\u7531\u7a7a\u95f4\u5f97\u5230\u7f51\u7edc\u3002\u8fd9\u4e2a\u95ee\u9898\u5bf9\u4e8e\u641e\u8ba1\u7b97\u673a\u7684\u4eba\u6765\u8bf4\u5e76\u4e0d\u964c\u751f\uff1a\u5373\u6211\u4eec\u5982\u4f55\u5bf9\u4e00\u4e2a\u7a7a\u95f4\u8fdb\u884c\u6709\u9650\u7684\u5212\u5206\uff0c\u4ece\u800c\u5f97\u5230\u4e00\u4e9b\u57fa\u672c\u7684\u5355\u5143\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8c\u7ef4\u5e73\u9762\u8fdb\u884c\u5212\u5206\u6709\u591a\u79cd\u65b9\u6cd5\uff1a\u65b9\u683c\u3001\u516d\u89d2\u683c\u7b49\u7b49\u3002\u4e0b\u9762\u5c31\u5217\u51fa\u4e86\u4e09\u79cd\u4e0d\u540c\u7a7a\u95f4\u7684\u5212\u5206\uff1a<\/span><\/section>\n

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\u5b83\u4eec\u5206\u522b\u662f\u5bf9\u4e00\u7ef4\u76f4\u7ebf\u533a\u57df\u3001\u4e8c\u7ef4\u5e73\u9762\u3001\u4e09\u7ef4\u7acb\u4f53\u7a7a\u95f4\u7684\u5212\u5206\u3002\u7ed9\u5b9a\u4e86\u8fd9\u6837\u7684\u4e00\u4e2a\u5212\u5206\uff0c\u6211\u4eec\u5c31\u80fd\u5f97\u5230\u4e00\u4e2a\u7f51\u7edc\u3002\u90a3\u4e48\u8fd9\u4e09\u4e2a\u4e0d\u540c\u7ef4\u5ea6\u7684\u7a7a\u95f4\u5f97\u5230\u7684\u7f51\u7edc\u6709\u4ec0\u4e48\u4e0d\u4e00\u6837\u7684\u6027\u8d28\u5462\uff1f<\/span><\/section>\n

<\/span><\/section>\n
\u6211\u4eec\u53ef\u4ee5\u505a\u8fd9\u6837\u4e00\u4ef6\u4e8b\uff0c\u4efb\u610f\u6311\u9009\u4e00\u4e2a\u7f51\u7edc\u4e0a\u7684\u8282\u70b9\uff0c\u7136\u540e\u6311\u9009\u51fa\u4e0e\u8be5\u8282\u70b9\u76f8\u90bb\u7684\u90a3\u4e9b\u8282\u70b9\u7ec4\u6210\u4e00\u4e2a\u96c6\u5408\uff0c\u8ba1\u7b97\u8be5\u96c6\u5408\u7684\u5143\u7d20\u4e2a\u6570\u8ba1\u4e3a N(1)\u3002\u4e4b\u540e\uff0c\u518d\u4ece\u5f00\u59cb\u8fd9\u4e2a\u8282\u70b9\u51fa\u53d1\uff0c\u627e\u51fa\u6240\u6709\u7684\u4e0e\u5b83\u76f8\u9694\u4e24\u6761\u8fb9\u7684\u8282\u70b9\u7ec4\u6210\u4e00\u4e2a\u96c6\u5408\uff0c\u8bb0\u8fd9\u4e2a\u96c6\u5408\u7684\u5143\u7d20\u4e2a\u6570\u4e3a N(2)\uff0c\u4f9d\u6b64\u7c7b\u63a8\u2026\u2026\uff0c\u6211\u4eec\u80fd\u591f\u5f97\u5230\u4e00\u4e2a\u5e8f\u5217\uff1aN(1), N(2), ..,N(r)\u2026.\u3002\u5982\u679c\u628a\u76f8\u9694\u534a\u5f84r\u4f5c\u4e3a\u6a2a\u8f74\uff0c\u628aN(r)\u4f5c\u4e3a\u7eb5\u8f74\uff0c\u4e0d\u96be\u505a\u51fa\u4e00\u6761 r-N(r) \u7684\u66f2\u7ebf\u3002\u4e0b\u9762\uff0c\u6211\u4eec\u6765\u5206\u522b\u5bf9\u8fd9\u4e09\u4e2a\u7f51\u7edc\u6c42\u51fa r-N(r) \u66f2\u7ebf\uff1a<\/span><\/section>\n

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<\/section>\n

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\u8fd9\u4e09\u4e2a\u66f2\u7ebf\u5206\u522b\u53ef\u4ee5\u770b\u6210\u662f\u5e38\u6570\u66f2\u7ebf\u3001\u76f4\u7ebf\u548c\u4e8c\u6b21\u66f2\u7ebf\uff0c\u4e5f\u5c31\u662f\u8bf4\u51fd\u6570\u5173\u7cfb\u5206\u522b\u662f\uff1aN(r)~r0<\/sup>, N(r)~r1 <\/sup>\u548c N(r)~r2<\/sup>\u3002\u800c\u8fd9\u4e9b\u7f51\u7edc\u6240\u5728\u7684\u7a7a\u95f4\u7ef4\u5ea6\u5206\u522b\u662f1\u7ef4\u30012\u7ef4\u548c3\u7ef4\u7684\uff0c\u56e0\u6b64\uff0c\u6211\u4eec\u80fd\u591f\u5f97\u5230\u8fd9\u6837\u4e00\u4e2a\u5173\u7cfb\uff1a<\/span><\/section>\n

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N(r)~rd-1<\/sup><\/span><\/span><\/section>\n
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\u8fd9\u91ccd\u662f\u7f51\u7edc\u9576\u5d4c\u7a7a\u95f4\u7684\u7ef4\u5ea6\u3002\u6240\u8c13\u7684\u9576\u5d4c\u7a7a\u95f4\uff0c\u5c31\u662f\u6307\u80fd\u591f\u628a\u8be5\u7f51\u7edc\u4e0d\u91cd\u53e0\u7684\u753b\u5728\u4e00\u4e2a\u6700\u5c0f\u7ef4\u5ea6\u7684\u7a7a\u95f4\u4e4b\u4e2d\u3002\u56e0\u6b64\uff0c\u4e09\u7ef4\u7684\u7f51\u7edc\u7a7a\u95f4\u662f\u4e0d\u53ef\u80fd\u4e0d\u91cd\u53e0\u5730\u753b\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e4b\u4e2d\u7684\u3002\u8fdb\u4e00\u6b65\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd9\u4e2a\u7ed3\u8bba\u62bd\u8c61\u4e3a\u5bf9\u7f51\u7edc\u7684\u7ef4\u5ea6\u5b9a\u4e49\u3002\u5373\u5982\u679c\u7f51\u7edc\u4e2d\u4efb\u610f\u4e00\u70b9\u90bb\u5c45\u7684\u4e2a\u6570\u968f\u7740\u8ddd\u79bb\u7684\u589e\u5927\u800c\u5448\u73b0\u4e0a\u5f0f\u7684\u5173\u7cfb\u7684\u8bdd\uff0c\u90a3\u4e48\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5b9a\u4e49\u8be5\u7f51\u7edc\u7684\u7ef4\u5ea6\u3002<\/span><\/section>\n

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\u4e0b\u56fe\u662f\u5404\u79cd\u7f51\u7edc\u4ee5\u53ca\u4e0e\u5b83\u4eec\u5bf9\u5e94\u7684N(r)\u66f2\u7ebf\uff1a<\/span><\/section>\n

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\u6211\u4eec\u770b\u5230\u6709\u4e9b\u7f51\u7edc\u5bf9\u5e94\u7684\u66f2\u7ebf\u5177\u6709\u5206\u6570\u7684\u5e42\u5f8b\u5173\u7cfb\u5982f\uff0c\u56e0\u6b64\uff0c\u4e5f\u53ef\u4ee5\u8bf4\u8fd9\u4e9b\u7f51\u7edc\u5bf9\u5e94\u7684\u7a7a\u95f4\u662f\u5206\u6570\u7ef4\u7684\u3002\u6709\u4e9b\u7f51\u7edc\u751a\u81f3\u5177\u6709\u975e\u5e38\u4e0d\u89c4\u5219\u7684\u66f2\u7ebf\u5173\u7cfb\uff0c\u5982e,j\u3002<\/span><\/section>\n

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\u603b\u7684\u8bf4\u6765\uff0c\u5982\u679c\u6211\u4eec\u5b87\u5b99\u7684\u7a7a\u95f4\u662f\u7531\u79bb\u6563\u7684\u7f51\u7edc\u6784\u6210\u7684\uff0c\u90a3\u4e48\u5b83\u4e5f\u80fd\u591f\u81ea\u7136\u5bfc\u51fa\u6211\u4eec\u6240\u4f53\u9a8c\u5230\u7684\u5404\u79cd\u4e09\u7ef4\u7a7a\u95f4\u7684\u6027\u8d28\u3002<\/span><\/section>\n

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6.2 \u56e0\u679c\u7f51\u7edc<\/span><\/strong><\/span><\/h3>\n

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\u9664\u4e86\u7a7a\u95f4\u4e4b\u5916\uff0c\u5b87\u5b99\u7684\u53e6\u4e00\u4e2a\u91cd\u8981\u6027\u8d28\u5c31\u662f\u65f6\u95f4\u3002\u5173\u4e8e\u65f6\u95f4\uff0cNKS\u53c8\u80fd\u8bf4\u4ec0\u4e48\u5462\uff1f\u9996\u5148\uff0c\u6211\u4eec\u6240\u4f53\u9a8c\u5230\u7684\u65f6\u95f4\u662f\u4e00\u4e2a\u4e00\u7ef4\u7684\u957f\u6cb3\uff0c\u5b87\u5b99\u65f6\u949f\u6bcf\u5600\u55d2\u4e00\u6b21\uff0c\u8be5\u5b87\u5b99\u4e2d\u7684\u6240\u6709\u7269\u4f53\u5c31\u90fd\u540c\u65f6\u66f4\u65b0\u4e00\u6b21\u72b6\u6001\u3002\u8fd9\u4e9b\u7269\u4f53\u7684\u72b6\u6001\u66f4\u65b0\u5c31\u6784\u6210\u4e86\u4e0d\u540c\u7684\u4e8b\u4ef6\u3002\u5b87\u5b99\u597d\u50cf\u4e00\u5f20\u5927\u7684\u56e0\u679c\u7f51\uff0c\u4e0d\u540c\u7684\u4e8b\u4ef6\u7531\u4e8e\u76f8\u4e92\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\u800c\u8fde\u63a5\u5230\u4e00\u8d77\u3002\u56e0\u6b64\uff0c\u4ece\u65f6\u95f4\u89d2\u5ea6\u770b\u5b87\u5b99\uff0c\u90a3\u4e48\u4e00\u4e2a\u4e00\u4e2a\u4e8b\u4ef6\u5c31\u6784\u6210\u4e86\u57fa\u672c\u7684\u7814\u7a76\u5355\u4f4d\uff0c\u5e76\u4e14\u4e8b\u4ef6\u4e4b\u95f4\u7531\u4e8e\u56e0\u679c\u8054\u7cfb\u6784\u6210\u7684\u7f51\u7edc\u4e5f\u6210\u4e3a\u4e86\u67d0\u79cd\u975e\u5e38\u672c\u8d28\u7684\u63cf\u8ff0\u3002<\/span><\/section>\n

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\u5728\u8ba1\u7b97\u673a\u7684\u5404\u79cd\u8ba1\u7b97\u5b87\u5b99\u4e2d\uff0c\u4e5f\u5b58\u5728\u8fd9\u6837\u7684\u56e0\u679c\u8054\u7cfb\u4e8b\u4ef6\u3002\u4e0d\u540c\u7684\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u5f88\u65b9\u4fbf\u7684\u7528\u8ba1\u7b97\u673a\u7b97\u6cd5\u5f97\u5230\u8fd9\u4e9b\u56e0\u679c\u7f51\u7edc\u3002\u4f8b\u5982\uff0c\u6709\u8fd9\u6837\u4e00\u4e2a\u66ff\u6362\u7cfb\u7edf\uff1a<\/span><\/section>\n
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\u5b83\u4e5f\u53ef\u4ee5\u5199\u6210\u5b57\u7b26\u4e32\u7684\u5f62\u5f0f\uff1aA–>AB, BABA–>BB, BBB–>AA\uff0c\u90a3\u4e48\u4eceBBB\u5f00\u59cb\uff0c\u53cd\u590d\u5e94\u7528\u8fd9\u4e09\u6761\u91cd\u5199\u89c4\u5219\uff0c\u5c31\u80fd\u5f97\u5230\u4e00\u4e2a\u8ba1\u7b97\u5b87\u5b99\u7684\u5386\u53f2\uff1a<\/span><\/section>\n
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\u5176\u4e2d\u7070\u8272\u7684\u5e26\u5f62\u533a\u57df\u8868\u793a\u4e86\u66f4\u65b0\u89c4\u5219\u7684\u8ba1\u7b97\u4f5c\u7528\u3002\u767d\u8272\u7684\u5e26\u5f62\u533a\u57df\u8fde\u63a5\u4e86\u4e24\u4e2a\u65f6\u523b\u6ca1\u6709\u66f4\u65b0\u53d8\u5316\u7684\u65b9\u683c\u3002\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5173\u6ce8\u7684\u662f\u65b9\u683c\uff0c\u4f46\u662f\u5f53\u6211\u4eec\u8003\u8651\u56e0\u679c\u8054\u7cfb\u7f51\u7edc\u7684\u65f6\u5019\uff0c\u6211\u4eec\u4e0d\u518d\u5173\u5fc3\u65b9\u683c\uff0c\u800c\u5173\u5fc3\u7684\u662f\u65b9\u683c\u53d1\u751f\u53d8\u5316\u7684\u4e8b\u4ef6\u672c\u8eab\u3002\u5728\u8fd9\u4e2a\u56fe\u4e2d\uff0c\u8fd9\u4e9b\u66f4\u65b0\u4e8b\u4ef6\u5c31\u8868\u73b0\u4e3a\u7070\u8272\u7684\u5e26\u5f62\u533a\u57df\u3002\u56e0\u6b64\uff0c\u5bf9\u4e0a\u56fe\u8fdb\u884c\u4e00\u7cfb\u5217\u8fde\u7eed\u53d8\u6362\uff0c\u6211\u4eec\u4e0d\u96be\u5f97\u5230\u4e00\u7cfb\u5217\u56fe\uff1a<\/span><\/section>\n

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\u4e00\u4e2a\u81ea\u7136\u7684\u60f3\u6cd5\u662f\uff0c\u589e\u52a0\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6bcf\u4e2a\u5143<\/span>\u80de<\/span>\u7684\u53ef\u80fd\u989c\u8272\u6570\u3002\u56e0\u4e3a\u56fe\u7075\u673a\u7684\u5185\u90e8\u72b6\u6001\u67091\uff0c2\uff0c3\u4e09\u79cd\uff0c\u5f53\u5b83\u5bf9\u4e00\u4e2a\u7eb8\u5e26\u683c\u8fdb\u884c\u8bfb\u5199\u64cd\u4f5c\u7684\u65f6\u5019\uff0c\u5c31\u4f1a\u53e0\u52a0\u4e0a\u8fd9\u4e2a\u7eb8\u5e26\u683c\u4e0a\u7684\u72b6\u6001<\/span>\uff080\u6216\u80051\uff09<\/span>\u3002\u8fd9\u6837\uff0c\u603b\u7684\u7ec4\u5408\u60c5\u51b5\u5c31\u662f3*2=6\u79cd\u3002\u800c\u5bf9\u4e8e\u6ca1\u6709\u8bfb\u5199\u5934\u7684\u683c\u5b50\uff0c\u7eb8\u5e26\u67090\u62161\u4e24\u79cd\u60c5\u51b5\uff0c\u56e0\u6b64\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u65b9\u683c\u6765\u8bf4\uff0c\u53ea\u8981\u5b83\u80fd\u5bf9\u5e94\u8fd9 6+2=8 \u79cd\u60c5\u51b5\u5c31\u53ef\u4ee5\u4e86\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e2a\u5177\u67098\u79cd\u989c\u8272\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6765\u6a21\u62df\u8fd9\u53f0\u56fe\u7075\u673a\u3002<\/span><\/section>\n

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\u4e0b\u9762\u8fd9\u4e2a\u8868\u5c31\u662f\u56fe\u7075\u673a\u548c8\u79cd\u989c\u8272\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5728\u4e00\u4e2a\u65b9\u683c\u4e0a\u7684\u5bf9\u5e94\u5173\u7cfb\uff1a<\/span><\/section>\n

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\u5728\u8be5\u5217\u8868\u4e2d\uff0c\u4e0d\u540c\u7684\u5217\u5bf9\u5e94\u4e86\u4e0d\u540c\u7684\u56fe\u7075\u673a\u7eb8\u5e26\u7684\u8f93\u5165\u60c5\u51b5\uff0c\u4ee5\u53ca\u76f8\u5e94\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u65b9\u683c\u989c\u8272\u3002\u4e0d\u540c\u7684\u884c\u8868\u793a\u4e86\u4e0d\u540c\u7684\u8bfb\u5199\u5934\u72b6\u6001\uff0c\u4ee5\u53ca\u5bf9\u5e94\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u989c\u8272\u3002\u9ed1\u548c\u767d\u5bf9\u5e94\u4e86\u6ca1\u6709\u8bfb\u5199\u5934\u5728\u4e0a\u9762\u7684\u56fe\u7075\u673a\u7eb8\u5e26\u683c\uff0c\u6d45\u7ea2\u548c\u6df1\u7ea2\u5bf9\u5e94\u4e86\u8bfb\u5199\u5934\u5206\u522b\u5728\u767d\u8272\u65b9\u683c\u6216\u8005\u9ed1\u8272\u65b9\u683c\uff0c\u4e14\u5185\u90e8\u72b6\u6001\u4e3a1\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u65b9\u683c\u989c\u8272\uff0c\u7b49\u7b49\u3002<\/span><\/section>\n

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\u8fdb\u4e00\u6b65\uff0c\u8981\u60f3\u8ba9\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6a21\u62df\u56fe\u7075\u673a\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u628a\u56fe\u7075\u673a\u7684\u6bcf\u4e00\u6b65\u8fd0\u7b97\u90fd\u6620\u5c04\u5230\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u6bcf\u4e00\u6b65\u8fd0\u7b97\u4e0a\u3002\u4e00\u4e2a\u7b80\u5355\u7684\u65b9\u6cd5\u662f\uff0c\u9488\u5bf9\u6bcf\u4e00\u4e2a\u56fe\u7075\u673a\u7684\u89c4\u5219\uff0c\u6211\u4eec\u90fd\u80fd\u627e\u5230\u4e00\u4e2a\u6216\u591a\u4e2a\u5143<\/span>\u80de<\/span><\/span>\u81ea\u52a8\u673a\u7684\u89c4\u5219\u4e0e\u4e4b\u5bf9\u5e94\u3002\u6bd4\u5982\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u56fe\u7075\u673a\u7684\u89c4\u5219\uff1a<\/span><\/section>\n

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\u5f53\u4ece\u5de6\u5f80\u53f3\u626b\u63cf\u5b8c\u6574\u4e2a\u4e00\u884c\u4e4b\u540e\uff0c\u8bfb\u5199\u5934\u5f00\u59cb\u53cd\u7740\u8d70\u3002\u8fd9\u65f6\u5019\uff0c\u8bfb\u5199\u5934\u9700\u8981\u505a\u7684\u5c31\u662f\u628a\u5f53\u524d\u65b9\u683c\u7684\u4fe1\u606f<\/span>\uff08\u65e0\u8bba\u662f1\u8fd8\u662f0\uff09<\/span>\u90fd\u539f\u5c01\u4e0d\u52a8\u7684\u62f7\u8d1d\u5230\u5de6\u8fb9\u7684\u4e00\u4e2a\u65b9\u683c\u53bb\uff0c\u56e0\u6b64\uff0c\u53ea\u8981\u75282\u4e2a\u5185\u90e8\u72b6\u6001\u5c31\u53ef\u4ee5\u5b8c\u6210\u5012\u7740\u626b\u63cf\u7684\u4efb\u52a1<\/span>\uff08\u56e0\u4e3a\u5b83\u9700\u8981\u8bb0\u5fc6\u7684\u5c31\u662f\u4e0a\u4e00\u65f6\u523b0\u6216\u80051\u7684\u989c\u8272\uff09<\/span>\u3002\u5c31\u8fd9\u6837\uff0c\u56fe\u7075\u673a\u4e00\u904d\u4e00\u904d\u7684\u626b\u63cf\u7eb8\u5e26\u5c31\u53ef\u4ee5\u6a21\u62dfCA\u7684\u52a8\u4f5c\u4e86\u3002\u4e0b\u56fe\u5c31\u662f\u8be5\u56fe\u7075\u673a\u6a21\u62dfCA90\u7684\u60c5\u51b5\uff1a<\/span><\/section>\n
<\/section>\n

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\u5176\u4e2d\u7070\u8272\u7684\u533a\u57df\u8868\u793a\u56fe\u7075\u673a\u5934\u9700\u8981\u626b\u63cf\u7684\u533a\u57df<\/span>\uff08\u5373\u56fe\u7075\u673a\u8d70\u5230\u7070\u8272\u533a\u57df\u7684\u8fb9\u7f18\u5c31\u53ef\u4ee5\u8fd4\u56de\u6765\uff09<\/span>\uff0c\u56e0\u6b64\u767d\u8272\u4ee5\u5916\u7684\u65b9\u683c\u662f\u4e0d\u9700\u8981\u56fe\u7075\u673a\u626b\u63cf\u7684\u3002\u901a\u8fc7\u8fd9\u4e2a\u589e\u52a0\u7684\u989c\u8272\uff0c\u5c31\u80fd\u8ba9\u56fe\u7075\u673a\u4e25\u683c\u3001\u6709\u6548\u5730\u6a21\u62df\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u52a8\u4f5c\u4e86\u3002\u7bad\u5934\u6240\u6307\u7684\u4e00\u884c\u4e00\u884c\u65b9\u683c\u8868\u793a\u5bf9\u5e94\u7684\u8be5\u56fe\u7075\u673a\u6a21\u62df\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e0d\u540c\u65f6\u523b\u7684\u72b6\u6001\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u7bad\u5934\u6240\u6307\u7684\u8fd9\u4e9b\u884c\u4e13\u95e8\u6311\u51fa\u6765\uff0c\u6392\u5728\u4e00\u8d77\uff0c\u5f97\u5230\uff1a<\/span><\/section>\n

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<\/section>\n

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\u5b83\u548cCA90\u7684\u56fe\u5f62\u662f\u4e00\u6a21\u4e00\u6837\u7684\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5b9e\u9645\u4e0a\uff0c\u8fd9\u4e2a\u7279\u5b9a\u76846\u72b6\u6001\u30013\u989c\u8272\u56fe\u7075\u673a\u53ef\u4ee5\u6a21\u62df\u4efb\u4f55\u4e00\u4e2a2\u989c\u8272\uff0c\u90bb\u5c45\u534a\u5f84\u4e3a1\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3002\u800c\u53ea\u8981\u6211\u4eec\u80fd\u6269\u5145\u56fe\u7075\u673a\u7684\u5185\u90e8\u72b6\u6001\u6570\uff0c\u4e0d\u96be\u60f3\u8c61\u56fe\u7075\u673a\u53ef\u4ee5\u6a21\u62df\u4efb\u4f55\u4e00\u79cd\u4e00\u7ef4\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3002\u4e5f\u5c31\u662f\u8bf4\u56fe\u7075\u673a\u8fd9\u4e2a\u7c7b\u662f\u53ef\u4ee5\u6a21\u62df\u4e00\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd9\u4e2a\u7c7b\u7684\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u8fd9\u6837\uff0c\u53c8\u56e0\u4e3a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd9\u4e2a\u7c7b\u53ef\u4ee5\u6a21\u62df\u56fe\u7075\u673a\u8fd9\u4e2a\u7c7b\uff0c\u6240\u4ee5\uff0c\u6211\u4eec\u770b\u5230\u4e86\u56fe\u7075\u673a\u548c\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u67d0\u79cd\u76f8\u4e92\u7b49\u4ef7\u7684\u5173\u7cfb<\/strong>\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u539f\u5219\u4e0a\u8bb2\u5982\u679cA\u548cB\u662f\u5b8c\u5168\u7b49\u4ef7\u7684\uff0c\u90a3\u4e48A\u80fd\u5e72\u7684\u4e8b\u60c5B\u4e5f\u80fd\u5e72\uff0cB\u80fd\u5e72\u7684A\u4e5f\u80fd\u5e72\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c31\u5728\u4e0d\u540c\u7684\u8ba1\u7b97\u5b87\u5b99\u4e4b\u95f4\u5212\u4e0a\u4e86\u7b49\u53f7\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5728NKS\u4e00\u4e66\u4e2d\uff0cWolfram\u8bc1\u660e\u4e86\u5404\u79cd\u5404\u6837\u7684\u8ba1\u7b97\u5b87\u5b99\u90fd\u662f\u8ba1\u7b97\u7b49\u4ef7\u7684<\/strong>\uff0c\u4e5f\u5c31\u662f\u8bf4\u5b83\u4eec\u90fd\u53ef\u4ee5\u76f8\u4e92\u6a21\u62df\uff0c\u90a3\u4e48\u5b83\u4eec\u4e4b\u95f4\u7684\u90a3\u79cd\u795e\u79d8\u7684\u76f8\u4f3c\u6027\u4e5f\u5c31\u4e0d\u90a3\u4e48\u5947\u602a\u4e86\u3002<\/span><\/section>\n

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8. \u4ece\u590d\u6742\u6027\u8d70\u5411\u901a\u7528\u6027<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

8.1 \u901a\u7528\u8ba1\u7b97<\/span><\/strong><\/span><\/h3>\n

<\/span><\/section>\n
\u65e9\u5728\u4e0a\u4e2a\u4e16\u7eaa30\u5e74\u4ee3\u7684\u65f6\u5019\uff0c\u4eba\u4eec\u5c31\u53d1\u73b0\u4e86\u5404\u79cd\u8ba1\u7b97\u7cfb\u7edf\u4e4b\u95f4\u7531\u4e8e\u53ef\u4ee5\u76f8\u4e92\u6a21\u62df\u6240\u5e26\u6765\u7684\u7b49\u4ef7\u6027\u3002\u4e8e\u662f\uff0c\u4eba\u4eec\u731c\u60f3\uff0c\u4e5f\u8bb8\u81ea\u7136\u4e2d\u7684\u4e00\u5207\u8ba1\u7b97\u90fd\u4e0d\u4f1a\u8d85\u8fc7\u4eba\u4eec\u53d1\u660e\u7684\u5404\u79cd\u8ba1\u7b97\u6a21\u578b\u6240\u80fd\u53ca\u7684\u8303\u56f4\u3002\u8fd9\u4e2a\u731c\u60f3\u88ab\u79f0\u4e3a\u4e18\u5947-\u56fe\u7075\u8bba\u9898<\/strong><\/span>\uff08Church \u2013 Turing Thesis\uff09<\/span>\uff0c\u5373\uff1a<\/span><\/section>\n

<\/span><\/section>\n
\u4efb\u4f55\u4e00\u79cd\u53ef\u6709\u6548\u8ba1\u7b97\u8fc7\u7a0b\u5c31\u662f\u56fe\u7075\u673a\u53ef\u8ba1\u7b97\u7684\u8fc7\u7a0b\u3002\u53cd\u8fc7\u6765\u8bf4\uff0c\u56fe\u7075\u673a\u53ef\u8ba1\u7b97\u6027\u5c31\u662f\u6709\u6548\u8ba1\u7b97\u7684\u5b9a\u4e49<\/span><\/strong>\u3002\u56e0\u4e3a\uff0c\u4efb\u4f55\u4e00\u4e2a\u8ba1\u7b97\u8fc7\u7a0b\u90fd\u53ef\u4ee5\u7528\u56fe\u7075\u673a\u6765\u8ba1\u7b97\uff0c\u56e0\u6b64\uff0c\u4eba\u4eec\u53c8\u79f0\u56fe\u7075\u673a\u662f\u4e00\u7c7b\u5177\u6709\u901a\u7528\u8ba1\u7b97\u6027\uff0c\u7b80\u79f0\u901a\u7528\u6027\u7684\u7cfb\u7edf<\/strong>\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u90a3\u4e48\uff0c\u4efb\u4f55\u4e00\u7c7b\u53ef\u6a21\u62df\u6240\u6709\u56fe\u7075\u673a\u7684\u8ba1\u7b97\u7cfb\u7edf\u4e5f\u662f\u4e00\u7c7b\u5177\u6709\u901a\u7528\u8ba1\u7b97\u6027\u7684\u7cfb\u7edf\uff0c\u6216\u79f0\u4e3a\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684<\/span>\uff08Universal computation\uff09<\/span>\u3002<\/span><\/section>\n

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<\/span><\/section>\n
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\u53e6\u5916\u4e00\u5c42\u542b\u4e49\u662f\u6307\uff0c\u67d0\u4e00\u4e2a\u5177\u4f53\u7684\u8ba1\u7b97\u7cfb\u7edf\u662f\u901a\u7528\u7684\u3002\u90a3\u4e48\u8fd9\u4e2a\u901a\u7528\u7684\u8ba1\u7b97\u7cfb\u7edf\u5c31\u88ab\u79f0\u4e3a\u901a\u7528\u8ba1\u7b97\u673a\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u901a\u7528\u8ba1\u7b97\u673a\u662f\u4e00\u53f0\u7279\u5b9a\u7684\u673a\u5668\uff0c\u5b83\u80fd\u591f\u6a21\u62df\u4efb\u4f55\u4e00\u79cd\u5176\u5b83\u673a\u5668\u7684\u8ba1\u7b97\u3002<\/span><\/section>\n

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\u5386\u53f2\u4e0a\u7b2c\u4e00\u53f0\u7279\u5b9a\u7684\u901a\u7528\u8ba1\u7b97\u673a\u5668\u662f\u56fe\u7075\u57281936\u5e74\u9996\u5148\u53d1\u73b0\u7684\uff0c\u5b83\u88ab\u79f0\u4e3a\u901a\u7528\u56fe\u7075\u673a\u3002\u8fd9\u53f0\u901a\u7528\u56fe\u7075\u673a\u7684\u5a01\u529b\u5728\u4e8e\u4e0d\u7528\u6539\u53d8\u5b83\u7684\u89c4\u5219\u548c\u5185\u90e8\u72b6\u6001\u6570\uff0c\u53ea\u8981\u7ed9\u5b83\u4e0d\u540c\u7684\u8f93\u5165\u7eb8\u5e26\uff0c\u5b83\u5c31\u53ef\u4ee5\u5b8c\u6210\u4efb\u4f55\u4e00\u53f0\u5176\u5b83\u7684\u56fe\u7075\u673a\u6240\u80fd\u5b8c\u6210\u7684\u5de5\u4f5c\u3002<\/span><\/section>\n

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\u6362\u53e5\u8bdd\u8bf4\uff0c\u901a\u7528\u56fe\u7075\u673a\u5c31\u50cf\u4e00\u6761\u53d8\u8272\u9f99\uff0c\u5b83\u80fd\u591f\u5728\u4e0d\u540c\u7684\u8f93\u5165\u6761\u4ef6\u4e0b\u53d8\u8eab\u6210\u4e3a\u4efb\u4f55\u4e00\u53f0\u5176\u5b83\u7684\u673a\u5668\uff0c\u5982\u4e0b\u56fe\u5f0f\uff1a<\/span><\/section>\n
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\u5728\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u8fd9\u4e2a\u5927\u7c7b\u91cc\u9762\uff0c\u4e5f\u5b58\u5728\u7740\u901a\u7528\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u5b83\u53ef\u4ee5\u6a21\u62df\u4efb\u4f55\u4e00\u4e2a\u5176\u5b83\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u884c\u4e3a\uff0c\u8fd9\u662f\u4e00\u4e2a\u5177\u670919\u79cd\u989c\u8272\u3001\u90bb\u5c45\u534a\u5f84\u4e3a2\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u901a\u8fc7\u6539\u53d8\u5b83\u7684\u521d\u59cb\u6761\u4ef6\uff0c\u5b83\u5c31\u53ef\u4ee5\u6a21\u62df\u4efb\u4f55\u4e00\u4e2a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3002\u4e0b\u56fe\u7b80\u793a\u4e86\u8fd9\u4e2a\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u5de5\u4f5c\u539f\u7406\uff1a<\/span><\/section>\n

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\u5728\u8fd9\u4e2a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e2d\uff0c\u6bcf18\u4e2a\u65b9\u683c\u4ee3\u8868\u8981\u6a21\u62df\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u4e00\u4e2a\u65b9\u683c\u3002\u5176\u4e2d\u5728\u4e00\u7ec418\u4e2a\u65b9\u683c\u4e2d\u7b2c\u4e09\u4e2a\u65b9\u683c\u5bf9\u5e94\u7684\u662f\u88ab\u6a21\u62df\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7b2c\u4e00\u4e2a\u65b9\u683c\u7684\u8f93\u5165<\/span>\uff08\u5148\u8003\u8651\u6700\u7b80\u5355\u7684\u4ec5\u6709\u4e24\u79cd\u989c\u8272\uff0c\u90bb\u5c45\u534a\u5f84\u4e3a1\u7684\u5143\u80de\u81ea\u52a8\u673a\uff09<\/span>\uff0c\u5982\u8be5\u56fe\u793a\u610f\u7684\u8f93\u5165\u662f010\u3002\u5269\u4e0b\u76842\u30014~16\u4e3a\u5f85\u6a21\u62df\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u89c4\u5219\u7f16\u7801\u3002\u6211\u4eec\u77e5\u9053\uff0c\u5bf9\u4e8e\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6765\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u7ed9\u5b83\u8fdb\u884c\u7f16\u7801\u3002\u4e5f\u5c31\u662f\u5c06\u4e00\u7ec4\u540c\u7c7b\u578b\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a<\/span>\uff08\u4f8b\u5982\u989c\u8272\u6570\u76f8\u540c\uff0c\u534a\u5f84\u76f8\u540c\uff09<\/span>\u6309\u7167\u4e00\u5b9a\u7684\u987a\u5e8f\u4ece\u5c0f\u5230\u5927\u6392\u5217\u51fa\u6765\uff0c\u90a3\u4e48\u6bcf\u4e2a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5bf9\u5e94\u7684\u5e8f\u53f7\u5c31\u662f\u5b83\u7684\u7f16\u7801\u3002\u53cd\u8fc7\u6765\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u7f16\u7801\uff0c\u6211\u4eec\u5c31\u80fd\u5f97\u5230\u4e00\u4e2a\u7279\u5b9a\u89c4\u5219\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u56e0\u6b64\uff0c\u5982\u679c\u628a\u4e00\u4e2a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u7f16\u7801\u8f93\u5165\u7ed9\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5c31\u80fd\u8ba1\u7b97\u6bcf\u4e00\u6b65\u7684\u72b6\u6001\u3002\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6240\u8981\u505a\u7684\u5c31\u662f\u8981\u6839\u636e\u4e8c\u8fdb\u5236\u7684\u7f16\u7801\u4e00\u4e2a\u4e00\u4e2a\u8ba1\u7b97\u51fa\u5728\u4e0d\u540c\u7684\u65b9\u683c\u8f93\u5165\u60c5\u51b5\u4e0b\u5bf9\u5e94\u7684\u8f93\u51fa\u3002\u7136\u540e\u5c06\u6bcf\u4e2a\u5f85\u6a21\u62df\u65b9\u683c\u7684\u503c\u4e0e\u90bb\u8fd1\u7684\u65b9\u683c\u76f8\u4e92\u4f5c\u7528\uff0c\u5f97\u5230\u8f93\u51fa\u7684\u65b9\u683c\u503c\u3002\u8fd9\u6837\u5728\u7ecf\u8fc7\u4e86\u591a\u6b65\u8fd0\u7b97\u4e4b\u540e<\/span>\uff08\u5230\u8fbe\u865a\u6a2a\u7ebf\u6240\u793a\u7684\u4f4d\u7f6e\uff09<\/span>\u8be5\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5b8c\u6210\u4e00\u6b65\u5bf9\u88ab\u6a21\u62df\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u6a21\u62df\u3002\u4e0b\u9762\u662f\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6a21\u62df90\u53f7\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u60c5\u51b5\uff1a<\/span><\/section>\n

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\u5bf9\u4e8e\u66f4\u590d\u6742\u76841\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u53ea\u8981\u6269\u5927\u5bf9\u5e94\u88ab\u6a21\u62df\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e00\u7ec4\u65b9\u683c\u7684\u4e2a\u6570\u5e76\u7ecf\u8fc7\u9002\u5f53\u7684\u8f6c\u6362\u5c31\u53ef\u4ee5\u4e86\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u80fd\u591f\u7528\u901a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6a21\u62df\u4efb\u4f55\u4e00\u4e2a1\u7ef4\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e86\u3002\u7531\u4e8e1\u7ef4\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u53ef\u4ee5\u6a21\u62df\u4efb\u610f\u4e00\u53f0\u56fe\u7075\u673a\uff0c\u6240\u4ee5\uff0c\u8be5\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u662f\u901a\u7528\u7684\u3002<\/span><\/section>\n

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8.2 \u6700\u5c0f\u7684\u901a\u7528\u8ba1\u7b97\u7cfb\u7edf<\/span><\/strong><\/span><\/h3>\n

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\u4e0b\u9762\u5217\u51fa\u5b83\u7684\u89c4\u5219\uff1a<\/span><\/section>\n

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\u6211\u4eec\u77e5\u9053\uff0c\u6839\u636eWolfram\u7684\u5206\u7c7b\uff0c\u8fd9\u662f\u4e00\u4e2a\u7b2c\u56db\u7c7b<\/span>\uff08\u590d\u6742\u7c7b\u578b\uff09<\/span>\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u3002\u4ed4\u7ec6\u89c2\u5bdf\u6211\u4eec\u4f1a\u53d1\u73b0\uff0c\u5728\u8fd9\u4e2a\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e2d\u6709\u8bb8\u591a\u7c7b\u4f3c\u201c\u7c92\u5b50\u201d\u7684\u82b1\u7eb9\u5728\u8d70\u6765\u8d70\u53bb\u3002\u5b83\u4eec\u53ef\u4ee5\u8d77\u5230\u5728\u4e16\u754c\u7684\u4e0d\u540c\u533a\u57df\u4f20\u64ad\u4fe1\u606f\u7684\u4f5c\u7528\u3002\u6b63\u662f\u56e0\u4e3a\u8fd9\u4e9b\u7c92\u5b50\u7684\u4f5c\u7528\uff0cMathew\u624d\u627e\u5230\u4e86\u8bc1\u660e\u5b83\u662f\u901a\u7528\u7684\u7684\u65b9\u6cd5\u3002\u5177\u4f53\u7684\uff0cMathew\u5f00\u53d1\u4e86\u4e00\u4e2a\u8f6f\u4ef6\u5de5\u5177\uff0c\u4e13\u95e8\u68c0\u6d4bCA110\u4e2d\u7684\u7c92\u5b50\u4f20\u64ad\u548c\u78b0\u649e\u89c4\u5f8b\u3002\u7136\u540e\uff0c\u5b83\u5c06\u8fd9\u4e9b\u7c92\u5b50\u4f20\u64ad\u548c\u78b0\u649e\u7684\u89c4\u5f8b\u4e0e\u53e6\u5916\u4e00\u7c7b\u7279\u5b9a\u7684\u8ba1\u7b97\u7cfb\u7edf\uff1aTag\u7cfb\u7edf\u8fdb\u884c\u6bd4\u8f83\uff0c\u53d1\u73b0\u8fd9\u4e9b\u7c92\u5b50\u53ef\u4ee5\u6a21\u62dfTag\u7cfb\u7edf\u3002\u800c\u56e0\u4e3a\u6211\u4eec\u5df2\u77e5Tag\u7cfb\u7edf\u662f\u53ef\u4ee5\u6a21\u62df\u4efb\u610f\u4e00\u53f0\u56fe\u7075\u673a\u7684\uff0c\u6240\u4ee5\u8fd9\u4e5f\u5c31\u8bc1\u660e\u4e86CA110\u7684\u901a\u7528\u6027\u3002<\/span><\/section>\n

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\u8fd9\u4e2a\u8bc1\u660e\u7684\u610f\u4e49\u5728\u4e8e\uff0cCA110\u662f\u4e00\u4e2a\u89c4\u5219\u975e\u5e38\u7b80\u5355\u7684\u7cfb\u7edf\u3002\u800c\u5373\u4f7f\u89c4\u5219\u8fd9\u6837\u7b80\u5355\uff0c\u5b83\u4ecd\u7136\u80fd\u591f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u3002\u4e00\u65e6\u8fd9\u4e2a\u7cfb\u7edf\u652f\u6301\u901a\u7528\u8ba1\u7b97\uff0c\u90a3\u4e48\u5b83\u5c31\u53ef\u4ee5\u5b8c\u6210\u4efb\u610f\u4e00\u79cd\u5df2\u77e5\u7684\u8ba1\u7b97\u3002<\/span><\/section>\n

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\u8bc1\u660eCA110\u662f\u901a\u7528\u7684\u65b9\u6cd5\u4e5f\u975e\u5e38\u5947\u7279\u3002\u5b83\u5e76\u4e0d\u50cf\u5176\u5b83\u8bc1\u660e\u901a\u7528\u6027\u7684\u65b9\u6cd5\u90a3\u6837\u4ece\u5e95\u5c42\u89c4\u5219\u505a\u8d77\uff0c\u800c\u662f\u901a\u8fc7\u89c2\u5bdf110\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6d8c\u73b0\u51fa\u7684\u82b1\u7eb9\u4e0a\u7684\u89c4\u5f8b\u51fa\u53d1\u7684\u3002\u56e0\u6b64\uff0c\u8fd9\u662f\u4e00\u79cd\u5f02\u5e38\u8270\u96be\u7684\uff0c\u4ece\u56fe\u5f62\u51fa\u53d1\u7684\u8bc1\u660e\u65b9\u6cd5\u3002<\/span><\/section>\n

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\u6709\u4e86110\u8fd9\u4e2a\u76ee\u524d\u5df2\u77e5\u7684\u6700\u7b80\u5355\u7684\u901a\u7528\u673a\u5668\u4e4b\u540e\uff0cWolfram\u751a\u81f3\u731c\u6d4b\u4efb\u4f55\u4e00\u79cd\u590d\u6742\u7c7b\u578b\u7684\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u90fd\u6709\u53ef\u80fd\u662f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u3002\u540c\u65f6\uff0c\u4ed6\u63d0\u51fa\u5bfb\u627e\u6700\u5c0f\u901a\u7528\u673a\u5668\u7684\u53f7\u53ec\uff0c\u751a\u81f3\u60ac\u8d4f25000\u7f8e\u5143\u5bfb\u627e\u80fd\u591f\u8bc1\u660e\u4e00\u4e2a2\u72b6\u6001\u30013\u989c\u8272\u7684\u56fe\u7075\u673a\u662f\u901a\u7528\u56fe\u7075\u673a\u7684\u65b9\u6cd5\u3002\u5982\u679c\u80fd\u591f\u8bc1\u660e\u6b64\u7ed3\u8bba\uff0c\u90a3\u4e48\u5b83\u5c06\u662f\u76ee\u524d\u5df2\u77e5\u7684\u6700\u7b80\u5355\u7684\u901a\u7528\u56fe\u7075\u673a\u3002<\/span><\/section>\n

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8.3 \u8ba1\u7b97\u7b49\u4ef7\u6027\u539f\u7406<\/span><\/strong><\/span><\/h3>\n

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\u8fd9\u4e2a\u8bc1\u660e\u53e6\u5916\u4e00\u4e2a\u610f\u4e49\u8fd8\u5728\u4e8e\uff0c\u5b83\u4fc3\u4f7fWolfram\u63d0\u51fa\u4e86\u4e00\u4e2a\u66f4\u5927\u80c6\u7684\u88ab\u79f0\u4e3a\u8ba1\u7b97\u7b49\u4ef7\u6027\u7684\u539f\u7406<\/strong><\/span>\uff08Computational equivalence principle\uff09<\/span>\u3002\u8fd9\u4e2a\u539f\u7406\u662f\u8bf4\uff0c\u4efb\u4f55\u4e00\u4e2a\u884c\u4e3a\u4e0d\u662f\u5f88\u7b80\u5355\u7684\u7cfb\u7edf\u90fd\u53ef\u80fd\u662f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684<\/strong>\u3002<\/span><\/section>\n

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\u4f8b\u5982\u5bf9\u4e8e\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u6765\u8bf4\uff0c\u8fd8\u6709\u7c7b\u4f3c110\u53f7\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u5927\u91cf\u7684\u7b2c4\u7c7b\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\uff0c\u5b83\u4eec\u53ef\u80fd\u6700\u7ec8\u90fd\u4f1a\u88ab\u8bc1\u660e\u662f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u3002\u751a\u81f3\u5bf9\u4e8e\u90a3\u4e9b\u8bf8\u598230\u53f7\u90a3\u6837\u7684\u7b2c\u4e09\u7c7b<\/span>\uff08\u6df7\u6c8c\u7c7b\u578b\uff09\u5143<\/span>\u80de<\/span><\/span>\u81ea\u52a8\u673a\uff0c\u4e5f\u6709\u53ef\u80fd\u662f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u3002\u4ee5\u81f3\u4e8e\uff0cWolfram\u90fd\u731c\u6d4b\uff0c\u5b87\u5b99\u4e2d\u53ef\u80fd\u6839\u672c\u5c31\u4e0d\u5b58\u5728\u6240\u8c13\u7684\u968f\u673a\u6027\u3002\u56e0\u4e3a\u4e00\u4e2a\u968f\u673a\u7684\u7cfb\u7edf\u4e5f\u6709\u53ef\u80fd\u662f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u3002<\/span><\/section>\n

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\u7136\u800c\uff0c\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u4e2a\u547d\u9898\u76ee\u524d\u6ca1\u6cd5\u8bc1\u660e\uff0c\u56e0\u4e3a\u8981\u60f3\u8bc1\u660e\u4e00\u4e2a\u7cfb\u7edf\u4e0d\u652f\u6301\u901a\u7528\u8ba1\u7b97\u8981\u6bd4\u8bc1\u660e\u5b83\u652f\u6301\u901a\u7528\u8ba1\u7b97\u66f4\u56f0\u96be\u3002<\/span><\/section>\n

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\u8fd9\u4e2a\u8ba1\u7b97\u7b49\u4ef7\u6027\u539f\u7406\u4e5f\u7ed9\u201c\u4e07\u7269\u7686\u6709\u7075\u201d\u7684\u8bf4\u6cd5\u63d0\u4f9b\u4e86\u67d0\u79cd\u652f\u6301\u3002\u56e0\u4e3a\u5728\u81ea\u7136\u754c\u5b58\u5728\u7740\u5404\u5f0f\u5404\u6837\u7684\u590d\u6742\u8fc7\u7a0b\uff0c\u4f8b\u5982\u6c34\u6d41\u3001\u5316\u5b66\u53cd\u5e94\u7b49\u7b49\u3002\u867d\u7136\u6211\u4eec\u5f88\u96be\u7814\u7a76\u8fd9\u7c7b\u7cfb\u7edf\uff0c\u4f46\u662f\u5982\u679c\u628a\u8fd9\u7c7b\u8fc7\u7a0b\u770b\u4f5c\u4e00\u79cd\u8ba1\u7b97\u8fc7\u7a0b\u7684\u8bdd\uff0c\u90a3\u4e48\u5b83\u4eec\u5f88\u6709\u53ef\u80fd\u4e5f\u4f1a\u50cf110\u53f7\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u90a3\u6837\u652f\u6301\u901a\u7528\u8ba1\u7b97\u3002\u800c\u4ece\u67d0\u79cd\u610f\u4e49\u4e0a\u8bf4\uff0c\u901a\u7528\u8ba1\u7b97\u5c31\u662f\u5b87\u5b99\u4e2d\u7684\u4efb\u4f55\u4e00\u79cd\u8ba1\u7b97\uff0c\u751a\u81f3\u6211\u4eec\u4eba\u7c7b\u5927\u8111\u4e5f\u4e0d\u8fc7\u662f\u4e00\u79cd\u901a\u7528\u8ba1\u7b97\u673a\u5668\u3002\u90a3\u4e48\uff0c\u8fd9\u4e9b\u7b49\u4ef7\u4e8e\u901a\u7528\u8ba1\u7b97\u7684\u673a\u5668\u548c\u81ea\u7136\u8fc7\u7a0b\u4ece\u539f\u5219\u4e0a\u8bb2\u5c31\u53ef\u4ee5\u5177\u5907\u6211\u4eec\u5927\u8111\u4e00\u6837\u7684\u601d\u8003\u8fc7\u7a0b<\/strong>\u3002\u56e0\u6b64\uff0c\u201c\u4e07\u7269\u7686\u6709\u7075\u201d\u7684\u786e\u6709\u4e00\u5b9a\u7684\u6839\u636e\u3002<\/span><\/section>\n

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\u8ba1\u7b97\u7b49\u4ef7\u539f\u7406\u4e5f\u4e3a\u590d\u6742\u6027\u9608\u503c\u7684\u8bf4\u6cd5\u63d0\u4f9b\u4e86\u4e00\u5b9a\u7684\u89e3\u91ca\uff0c\u5982\u4e0b\u56fe\uff1a<\/span><\/section>\n

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\u4e5f\u5c31\u662f\u8bf4\u968f\u7740\u7cfb\u7edf\u5e95\u5c42\u89c4\u5219\u7684\u590d\u6742\u6027\u589e\u957f\uff0c\u7cfb\u7edf\u884c\u4e3a\u7684\u590d\u6742\u6027\u589e\u957f\u5230\u4e00\u5b9a\u7a0b\u5ea6\u5c31\u4e0d\u518d\u589e\u957f\u4e86\u3002\u8fd9\u4e2a\u9608\u503c\u5c31\u662f\u901a\u7528\u6027\u3002\u5373\u5f53\u7cfb\u7edf\u590d\u6742\u5230\u80fd\u591f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u4e4b\u540e\uff0c\u5b83\u4ece\u539f\u5219\u4e0a\u8bb2\u5c31\u4e0e\u4efb\u4f55\u4e00\u4e2a\u5176\u5b83\u7684\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u7cfb\u7edf\u7b49\u4ef7\u4e86<\/strong>\u3002\u56e0\u6b64\uff0c\u7ee7\u7eed\u589e\u52a0\u89c4\u5219\u7684\u590d\u6742\u6027\u5c06\u662f\u65e0\u6d4e\u4e8e\u4e8b\u7684\u3002<\/strong><\/span><\/section>\n

<\/span><\/section>\n
\u53cd\u8fc7\u6765\u518d\u770b\u770b\u524d\u9762\u63d0\u5230\u7684\u90a3\u4e2a\u7528\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u751f\u6210\u7684\u65f6\u95f4\u5e8f\u5217\u6a21\u62df\u80a1\u5e02\u6570\u636e\u7684\u5e94\u7528\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u5b83\u80cc\u540e\u7684\u539f\u7406\u5176\u5b9e\u5c31\u662f\u8ba1\u7b97\u7b49\u4ef7\u6027\u3002\u53ef\u4ee5\u8ba4\u4e3a\uff0c\u80a1\u7968\u5e02\u573a\u662f\u4e00\u4e2a\u590d\u6742\u7684\u80fd\u591f\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u7cfb\u7edf\uff0c\u800c\u6211\u4eec\u77e5\u9053\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u4e5f\u662f\u4e00\u4e2a\u652f\u6301\u901a\u7528\u8ba1\u7b97\u7684\u7cfb\u7edf\uff0c\u7531\u4e8e\u5b83\u4eec\u662f\u7b49\u4ef7\u7684\uff0c\u6240\u4ee5\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u5c31\u80fd\u591f\u6a21\u62df\u80a1\u5e02\u7684\u65f6\u95f4\u5e8f\u5217\uff0c\u5c3d\u7ba1\u771f\u5b9e\u80a1\u5e02\u7684\u5e95\u5c42\u89c4\u5219\u53ef\u80fd\u662f\u5404\u4e2a\u80a1\u6c11\u7684\u4e70\u5356\u64cd\u4f5c\uff0c\u800c\u5143<\/span>\u80de<\/span>\u81ea\u52a8\u673a\u7684\u5e95\u5c42\u89c4\u5219\u548c\u771f\u5b9e\u80a1\u5e02\u7684\u5e95\u5c42\u89c4\u5219\u76f8\u5dee\u90a3\u4e48\u5de8\u5927\u3002\u7cfb\u7edf\u590d\u6742\u5230\u4e00\u5b9a\u7a0b\u5ea6\u4e4b\u540e\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5fd8\u6389\u5b83\u7684\u5e95\u5c42\u89c4\u5219\uff0c\u800c\u4ece\u53e6\u4e00\u4e2a\u901a\u7528\u6027\u7684\u89d2\u5ea6\u4e0a\u53bb\u8003\u8651\u5b83\u3002\u56e0\u6b64\u6211\u4eec\u7684\u5206\u6790\u6a21\u5f0f\u4ece\u590d\u6742\u6027\u8f6c\u53d8\u5230\u4e86\u901a\u7528\u6027\u3002<\/span><\/section>\n

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<\/h2>\n

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9. \u8ba1\u7b97\u5b87\u5b99\u4e2d\u7684\u9ed1\u6d1e<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

9.1 \u865a\u62df\u5c42\u7ea7<\/span><\/strong><\/span><\/h3>\n

<\/span><\/section>\n
\u6b63\u5982Wolfram\u6240\u8bf4\uff0c\u8ba1\u7b97\u901a\u7528\u6027\u662f\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u6982\u5ff5\u3002\u7136\u800c\uff0c\u6211\u8ba4\u4e3a\u9664\u4e86\u8ba1\u7b97\u7b49\u4ef7\u6027\u539f\u7406\u4e4b\u5916\uff0c\u901a\u7528\u8ba1\u7b97\u8fd8\u5177\u6709\u53e6\u5916\u4e00\u4e2a\u66f4\u52a0\u91cd\u8981\u7684\u610f\u4e49\uff0c\u8fd9\u5c31\u662f\u201c\u865a\u62df\u5c42\u7ea7<\/strong>\u201d\u7684\u6982\u5ff5\u3002<\/span><\/section>\n

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\u6709\u4e00\u90e8\u7c7b\u4f3c\u300a\u9ed1\u5ba2\u5e1d\u56fd\u300b\u7684\u7535\u5f71\u53eb\u5341\u4e09\u5c42\u697c\u3002\u5f71\u7247\u53d9\u8ff0\u4e86\u4e00\u4e2a\u795e\u5947\u7684\u6545\u4e8b\uff1a\u4e00\u4e2a\u7814\u7a76\u865a\u62df\u4e16\u754c\u7684\u79d1\u5b66\u5bb6\u7a81\u7136\u88ab\u8c0b\u6740\u4e86\u3002\u4e3b\u4eba\u516c\u4e3a\u4e86\u8c03\u67e5\u8fd9\u8d77\u51f6\u6740\u6848\uff0c\u4e0d\u5f97\u4e0d\u4eb2\u81ea\u8d70\u8fdb\u90a3\u4e2a\u79d1\u5b66\u5bb6\u5efa\u7acb\u5f97\u60df\u5999\u60df\u8096\u7684\u865a\u62df\u4e16\u754c\u4e2d\u5bfb\u627e\u8be5\u79d1\u5b66\u5bb6\u7ed9\u4e3b\u4eba\u516c\u7559\u4e0b\u7684\u4e00\u5c01\u4fe1\u3002\u4fe1\u4e0a\u8bf4\uff0c\u4ed6\u53d1\u73b0\u4e86\u4e00\u4e2a\u5929\u5927\u7684\u79d8\u5bc6\uff1a\u5373\u79d1\u5b66\u5bb6\u548c\u4e3b\u4eba\u516c\u5c45\u4f4f\u7684\u4e16\u754c\u5c45\u7136\u4e5f\u662f\u88ab\u4eba\u865a\u62df\u51fa\u6765\u7684\u3002\u4e3b\u4eba\u516c\u4e0d\u76f8\u4fe1\u8fd9\u4e2a\u4e8b\u5b9e\uff0c\u51b3\u5b9a\u4eb2\u81ea\u9a8c\u8bc1\u4e00\u4e0b\u3002\u4ed6\u4e00\u8def\u5f00\u8f66\u6765\u5230\u4e86\u201c\u4e16\u754c\u7684\u5c3d\u5934\u201d\uff0c\u7ec8\u4e8e\u770b\u5230\u4e86\u771f\u76f8\uff1a\u4ed6\u6240\u751f\u6d3b\u7684\u4e16\u754c\u662f\u88ab\u53e6\u4e00\u4e2a\u66f4\u9ad8\u5c42\u6b21\u7684\u4e16\u754c\u5728\u8ba1\u7b97\u673a\u4e2d\u6a21\u62df\u51fa\u6765\u7684\u3002<\/span><\/section>\n

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\u5982\u679c\u6211\u4eec\u7528\u4e00\u4e2a\u56fe\u5f62\u8868\u793a\u8fd9\u4e2a\u6545\u4e8b\u4e2d\u63d0\u5230\u7684\u5404\u79cd\u4e16\u754c\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\u7684\u8bdd\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a<\/span><\/section>\n

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9.2 \u81ea\u6307\u9ed1\u6d1e<\/span><\/strong><\/span><\/h3>\n

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10. \u8d70\u5411\u73b0\u5b9e<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u300a\u4e00\u79cd\u65b0\u79d1\u5b66\u300b\u8bfb\u4e66\u4f1a<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u300a\u4e00\u79cd\u65b0\u79d1\u5b66\u300b\u4f5c\u4e3aStephen Wolfram\u7684\u5f00\u521b\u6027\u8457\u4f5c\uff0c\u5728\u4eba\u5de5\u667a\u80fd\u84ec\u52c3\u53d1\u5c55\u7684\u4eca\u5929\u91cd\u65b0\u7115\u53d1\u751f\u673a\u3002\u8be5\u4e66\u63a2\u8ba8\u7684\u7b80\u5355\u7a0b\u5e8f\u751f\u6210\u590d\u6742\u6027\u3001\u8ba1\u7b97\u666e\u904d\u6027\u548c\u6d8c\u73b0\u884c\u4e3a\u7b49\u6838\u5fc3\u6982\u5ff5\uff0c\u4e0e\u73b0\u4ee3AI\u548c\u5927\u8bed\u8a00\u6a21\u578b\u7684\u57fa\u672c\u539f\u7406\u9ad8\u5ea6\u543b\u5408\u3002\u6700\u8fd1\u793e\u533a\u6210\u5458\u97e9\u53f8\u9633\u7b49\u8001\u5e08\u79ef\u6781\u63a8\u52a8\u300aA New Kind of Science\u300b\u5728\u56fd\u5185\u7684\u7ffb\u8bd1\u51fa\u7248\u5de5\u4f5c\uff0c\u6240\u4ee5\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u793e\u533a\u6210\u5458\u97e9\u53f8\u9633\u3001\u7ae0\u5f66\u535a\u3001\u5f90\u6069\u5ce4\u3001\u5f20\u6c5f\u4e00\u8d77\u8054\u5408\u53d1\u8d77\u5173\u4e8e\u300a\u4e00\u672c\u65b0\u79d1\u5b66\u300b\u7684\u8bfb\u4e66\u4f1a<\/a>\uff0c\u4ece9\u67081\u65e5\u8d77\uff0c\u6bcf\u5468\u65e5\u4e0a\u534810:00-12:00\u5f00\u59cb\u7cfb\u5217\u7684\u8ba8\u8bba\uff0c\u6b22\u8fce\u5927\u5bb6\u52a0\u5165\u8bfb\u4e66\u4f1a\uff0c\u505a\u8bfb\u4e66\u4f1a\u5206\u4eab\u6216\u8005\u8ba4\u9886\u7ffb\u8bd1\u4efb\u52a1\u3002<\/span><\/section>\n

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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span>\u5168\u65b0\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1a\u7ec4\u961f\u7814\u8bfb\u7ffb\u8bd1\u590d\u6742\u79d1\u5b66\u795e\u4e66\uff0c\u5f00\u542f\u201c\u4e00\u79cd\u65b0\u79d1\u5b66\u201d<\/a><\/span><\/p>\n


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Mathematica\u57fa\u7840\u5165\u95e8\u6559\u7a0b<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u7ae0\u5f66\u535a\u8001\u5e08\u7cbe\u5fc3\u5236\u4f5c\u7684<\/span>Mathematica\u7cfb\u5217\u6559\u7a0b<\/span><\/a>\uff0c\u5b83\u662f\u4e00\u95e8\u7b80\u6d01\u4f46\u53c8\u582a\u6bd4\u300c\u767e\u79d1\u5168\u4e66\u300d\u7684\u7f16\u7a0b\u8bed\u8a00\uff0c\u975e\u5e38\u9002\u5408\u65b0\u624b\u5165\u95e8\uff0c\u5c24\u5176\u662f\u5bf9\u8de8\u5b66\u79d1\u63a2\u7d22\u611f\u5174\u8da3\uff0c\u5e0c\u671b\u5feb\u901f\u9a8c\u8bc1<\/span>\u4e00\u4e9b\u60f3\u6cd5\u3002\u8be6\u60c5\u8bf7\u89c1\uff1a\u300a<\/span>\u4ece 1+1 \u5230\u6df7\u6c8c | Mathematica \u8f6f\u4ef6\u5165\u95e8\u6559\u7a0b<\/span><\/a>\u300b<\/span><\/p>\n


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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/section>\n
1. <\/strong>Wolfram\u957f\u6587\u5168\u8bd1\uff1a\u4ece\u7b80\u5355\u89c4\u5219\u5230\u7cfb\u7edf\u7269\u7406\u5b66<\/a><\/strong><\/span><\/section>\n
2. <\/strong>\u300a\u4e00\u79cd\u65b0\u79d1\u5b66\u300b\u4f5c\u8005\u6c83\u5c14\u592b\u52d2\u59c6\u4eb2\u8ff0\uff1a\u5723\u5854\u83f2\u7814\u7a76\u6240\u7684\u521d\u521b\u6545\u4e8b<\/a><\/strong><\/span><\/section>\n
3.<\/strong> Stephen Wolfram\u4e13\u8bbfJudea Pearl\uff1a\u4ece\u8d1d\u53f6\u65af\u7f51\u7edc\u5230\u5143\u80de\u81ea\u52a8\u673a<\/a><\/strong><\/span><\/section>\n
4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
5.<\/strong> \u96c6\u667aVIP\u96c6\u5408\u5566\uff01\u4e91\u5357\u7ebf\u4e0b\u7814\u4fee\u8425\uff0c\u4e0e\u96c6\u667a\u521b\u59cb\u4eba\u4e00\u8d77\u6500\u767b\u201c\u590d\u6742\u6027\u9636\u68af\u201d<\/a><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n
6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/strong><\/span><\/strong><\/span><\/strong><\/p>\n

<\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5bfc\u8bed \u672c\u6587\u662f\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\u5f20\u6c5f\u8001\u5e08\u5728\u53c2\u52a0\u5b8c2007\u5e74 Wolfram \u6691\u671f\u5b66\u6821\u540e\u64b0\u5199\u7684\u6587\u7ae0\uff0c\u4ecb\u7ecd\u4e86\u8ba1\u7b97\u673a\u79d1\u5b66\u3001\u6570\u5b66\u5bb6\u548c\u7406\u8bba\u7269\u7406\u5b66\u5bb6 Stephen Wolfram \u7684\u5f00\u521b\u6027\u8457\u4f5c\u300a\u4e00\u79cd\u65b0\u79d1\u5b66\u300b\uff08A New Kind of Science\uff09\u4e2d\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u4ece\u5143\u80de\u81ea\u52a8\u673a\u5230\u8ba1\u7b97\u7b49\u4ef7\u6027\u539f…<\/p>\n","protected":false},"author":0,"featured_media":51735,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/51793"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=51793"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/51793\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/51735"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=51793"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=51793"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=51793"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=51793"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}