{"id":54649,"date":"2024-12-25T22:53:22","date_gmt":"2024-12-25T14:53:22","guid":{"rendered":"https:\/\/swarma.org\/?p=54649"},"modified":"2024-12-25T22:53:22","modified_gmt":"2024-12-25T14:53:22","slug":"%e5%a4%8d%e6%9d%82%e7%bd%91%e7%bb%9c%e4%b8%ad%e7%9a%84%e5%9b%a0%e6%9e%9c%e6%b6%8c%e7%8e%b0%ef%bd%9c%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=54649","title":{"rendered":"\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\uff5c\u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\u662f\u6307\u5bf9\u4e8e\u4e00\u4e2a\u590d\u6742\u7f51\u7edc\u6765\u8bf4\uff0c\u5728\u5408\u9002\u7684\u7c97\u7c92\u5316\u5904\u7406\u4e4b\u540e\u80fd\u5f97\u5230\u4e00\u4e2a\u5b8f\u89c2\u7684\u7f51\u7edc\uff0c\u8be5\u7f51\u7edc\u80fd\u591f\u6bd4\u539f\u59cb\u7f51\u7edc\u5c55\u73b0\u51fa\u66f4\u5f3a\u7684\u56e0\u679c\u7279\u6027\uff0c\u5373\u6709\u6548\u4fe1\u606f\uff08Effective Information\uff0c\u7b80\u79f0EI\uff09\u66f4\u9ad8\uff0c\u5219\u79f0\u539f\u59cb\u7f51\u7edc\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002\u590d\u6742\u7f51\u7edc\u662f\u4e00\u79cd\u7528\u56fe\u7684\u65b9\u5f0f\u5efa\u6a21\u590d\u6742\u7cfb\u7edf\u7684\u6a21\u578b\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u591a\u79cd\u9886\u57df\u3002\u8fd9\u4e9b\u7f51\u7edc\u901a\u5e38\u7531\u5927\u91cf\u8282\u70b9\u548c\u5177\u6709\u4e00\u5b9a\u968f\u673a\u6027\u7684\u8fde\u8fb9\u7ec4\u6210\uff0c\u8282\u70b9\u53ef\u4ee5\u4ee3\u8868\u4e2a\u4f53\u6216\u5143\u7d20\uff0c\u800c\u8fb9\u5219\u4ee3\u8868\u5b83\u4eec\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u6216\u8054\u7cfb\u3002\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u6700\u521d\u662f\u7531Erik Hoel[1]\u7b49\u4eba\u63d0\u51fa\uff0c\u8be5\u7406\u8bba\u4f7f\u7528\u6709\u6548\u4fe1\u606f\u6765\u91cf\u5316\u79bb\u6563\u9a6c\u5c14\u79d1\u592b\u52a8\u529b\u5b66\u7cfb\u7edf\u7684\u56e0\u679c\u6027\u5f3a\u5f31\u30022020 \u5e74\uff0cKlein \u7b49\u4eba[2]\u5c1d\u8bd5\u5c06\u56e0\u679c\u6d8c\u73b0\u7684\u6982\u5ff5\u6269\u5c55\u5230\u590d\u6742\u7f51\u7edc\u4e0a\uff0c\u6838\u5fc3\u601d\u8def\u662f\u5c06\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u968f\u673a\u6e38\u8d70\u6a21\u578b\u89c6\u4f5c\u4e00\u4e2a\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u4ece\u800c\u5e94\u7528\u6709\u6548\u4fe1\u606f\u6bd4\u8f83\u7c97\u7c92\u5316\u540e\u7684\u66f4\u5b8f\u89c2\u5c3a\u5ea6\u7684\u7f51\u7edc\u548c\u539f\u59cb\u7f51\u7edc\u4e0a\u7684\u6709\u6548\u4fe1\u606f\uff08EI\uff09\u6709\u4f55\u53d8\u5316\uff0c\u5f53\u7c97\u7c92\u5316\u7f51\u7edc\uff08\u5b8f\u89c2\u5c3a\u5ea6\uff09\u6bd4\u539f\u59cb\u7f51\u7edc \uff08\u5fae\u89c2\u5c3a\u5ea6\uff09\u5177\u6709\u66f4\u9ad8\u7684EI\u65f6\uff0c\u5219\u8bf4\u660e\u8be5\u7f51\u7edc\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002<\/span><\/strong><\/span><\/strong><\/p>\n


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\u8fd1\u5e74\u6765\uff0c\u5f20\u6c5f\u8001\u5e08\u5e26\u9886\u7814\u7a76\u7ec4\u5f00\u59cb\u805a\u7126\u57fa\u4e8e\u65b0\u5174 AI \u6280\u672f\u8fdb\u884c\u6570\u636e\u9a71\u52a8\u7684\u81ea\u52a8\u5efa\u6a21\u7814\u7a76\uff0c\u5e76\u7acb\u5fd7\u7834\u89e3\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u4e4b\u8c1c\u3002\u6211\u4eec\u5e0c\u671b\u521b\u5efa\u4e00\u4e2a\u53eb\u505a\u201c\u590d\u6742AI\u6b21\u65b9\u201d\u7684\u5f00\u653e\u5b9e\u9a8c\u5ba4<\/a>\uff0c\u5b9e\u73b0\u601d\u60f3\u5171\u4eab\u3001\u8d44\u6e90\u5171\u4eab\u3001\u8de8\u5b66\u79d1\u4ea4\u53c9\uff0c\u5171\u540c\u4e3a\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u800c\u594b\u8fdb\u3002\u6b22\u8fce\u5bf9\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u9886\u57df\u6709\u70ed\u60c5\uff0c\u4e14\u8ba4\u53ef\u8fd9\u4e2a\u9886\u57df\u53d1\u5c55\u524d\u666f\u7684\u670b\u53cb\u4e00\u8d77\u6765\u5408\u4f5c\uff0c\u4fc3\u8fdb\u8fd9\u4e00\u9886\u57df\u7684\u5feb\u901f\u53d1\u5c55\u3002<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n

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\u5173\u952e\u8bcd\uff1a\u56e0\u679c\u6d8c\u73b0\uff0c\u590d\u6742\u7f51\u7edc\uff0c\u6709\u6548\u4fe1\u606f\uff0c\u590d\u6742\u7cfb\u7edf<\/strong><\/span><\/strong><\/strong><\/strong><\/section>\n
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\u738b\u5fd7\u9e4f\u3001\u5218\u6613\u660e<\/span> <\/span>| \u4f5c\u8005<\/span><\/p>\n

\u5f20\u6c5f\u3001\u738b\u5fd7\u9e4f\u3001\u5218\u6613\u660e<\/span> <\/span>| \u5ba1\u6821<\/span><\/span><\/p>\n<\/section>\n


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2. <\/span>\u57fa\u672c\u7406\u8bba<\/span><\/strong>
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2.1 \u57fa\u672c\u601d\u60f3<\/span><\/section>\n
2.2 \u968f\u673a\u6e38\u8d70\u52a8\u529b\u5b66<\/span><\/section>\n
2.3 \u5b9a\u4e49\u6709\u6548\u4fe1\u606f<\/span><\/section>\n
2.3.1 \u7f51\u7edc\u5b9e\u4f8b<\/span><\/section>\n
2.4 \u7c97\u7c92\u5316\u590d\u6742\u7f51\u7edc<\/span><\/section>\n

2.4.1 \u7c97\u7c92\u5316\u7b97\u6cd5<\/span><\/p>\n

2.4.1.1 \u8d2a\u5a6a\u7b97\u6cd5<\/span><\/section>\n
2.4.1.2 \u8c31\u5206\u89e3\u65b9\u6cd5<\/span><\/section>\n
2.4.1.3 \u68af\u5ea6\u4e0b\u964d\u65b9\u6cd5<\/span><\/section>\n
2.5 \u5b9a\u4e49\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/section>\n

3. \u6570\u503c\u7ed3\u679c<\/span><\/strong><\/p>\n

3.1 \u4eba\u5de5\u7f51\u7edc<\/span><\/section>\n
3.2 \u771f\u5b9e\u7f51\u7edc<\/span><\/section>\n

4. \u5e94\u7528<\/span><\/strong><\/p>\n

4.1 \u5728\u5143\u80de\u81ea\u52a8\u673a\u4e0a\u7684\u5e94\u7528<\/span><\/section>\n
4.2 \u5728\u751f\u7269\u7f51\u7edc\u4e0a\u7684\u5e94\u7528<\/span><\/section>\n
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1. \u65b9\u6cd5\u6982\u8ff0<\/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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2013\u5e74\uff0cErik Hoel\u7b49\u4eba\u9996\u6b21\u63d0\u51fa<\/span>\u4e86\u56e0\u679c\u6d8c\u73b0\u7406\u8bba[1]\uff0c\u5e76\u4f7f\u7528\u6709\u6548\u4fe1\u606f<\/span>\uff08Effective Information, EI\uff09<\/span>\u6765\u91cf\u5316\u79bb\u6563\u9a6c\u5c14\u79d1\u592b\u52a8\u529b\u5b66\u7cfb\u7edf\u7684\u56e0\u679c\u6027\u5f3a\u5f31\u30022020\u5e74Klein\u7b49\u4eba\u5c1d\u8bd5\u5c06\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u62d3\u5c55\u5230\u590d\u6742\u7f51\u7edc[2]\u4e0a\u3002\u8fd9\u4e00\u6269\u5c55\u7684\u4e3b\u8981\u601d\u8def\u4e3a\u5c06\u590d\u6742\u7f51\u7edc\u8f6c\u53d8\u4e3a\u4e00\u4e2a\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u4ece\u800c\u53ef\u4ee5\u76f4\u63a5\u5e94<\/span>\u7528Erik Hoel\u7b49\u4eba\u7684\u539f\u59cb\u65b9\u6cd5\u6765\u5224\u65ad\u56e0\u679c\u6d8c\u73b0\u3002\u5177\u4f53\u5730\uff0cKlein\u7b49\u4eba\u7684\u65b9\u6cd5\u5305\u62ec\u5982\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a<\/span><\/p>\n

1. \u5b9a\u4e49\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u52a8\u529b\u5b66\uff1a\u5f15\u5165\u968f\u673a\u6e38\u8d70\u5b50<\/span>\uff08Random Walker\uff09<\/span>\uff0c\u8be5\u968f\u673a\u6e38\u8d70\u5b50\u53ef\u4ee5\u6cbf\u7740\u7f51\u7edc\u7684\u8fde\u8fb9\u968f\u673a\u8df3\u8f6c\uff0c\u4ece\u800c\u6784\u5efa\u8be5\u968f\u673a\u6e38\u8d70\u5b50\u7684\u9a6c\u5c14\u79d1\u592b\u94fe<\/span>\uff08\u5176\u4e2d\u968f\u673a\u6e38\u8d70\u5b50\u7684\u6240\u6709\u53ef\u80fd\u72b6\u6001\u5bf9\u5e94\u4e3a\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u6240\u6709\u8282\u70b9\uff0c\u800c\u72b6\u6001\u95f4\u7684\u8f6c\u79fb\u6982\u7387\u6570\u503c\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u6bcf\u6761\u6709\u5411\u8fde\u8fb9\u7684\u6743\u503c\u5360\u6bd4\uff0c\u5373\u8be5\u8fb9\u4e0a\u7684\u6743\u91cd\u5360\u8be5\u8282\u70b9\u6240\u6709\u51fa\u8fb9\u7684\u6743\u91cd\u7684\u6bd4\u4f8b\uff09<\/span>\uff1b<\/span><\/p>\n

2. \u5b9a\u4e49\u590d\u6742\u7f51\u7edc\u4e0a\u7684<\/span>\u6709\u6548\u4fe1\u606f<\/span>\uff1a\u57fa\u4e8e\u968f\u673a\u6e38\u8d70\u5b50\u7684\u6982\u7387\u8f6c\u79fb\u77e9\u9635\u8ba1\u7b97<\/span>\u6709\u6548\u4fe1\u606f<\/span>\uff0c\u5982\u6b64\u4fbf\u53ef\u4ee5\u5c06\u539f\u672c\u523b\u753b\u9a6c\u5c14\u79d1\u592b\u94fe\u7684\u6709\u6548\u4fe1\u606f\u6307\u6807\u6269\u5c55\u5230\u590d\u6742\u7f51\u7edc\u4e0a\uff1b<\/span><\/p>\n

3. \u7c97\u7c92\u5316\u590d\u6742\u7f51\u7edc<\/span>\uff08\u5373\u5c06\u6240\u6709\u7f51\u7edc\u4e0a\u7684\u8282\u70b9\u8fdb\u884c\u5206\u7ec4\uff0c\u8f6c\u5316\u4e3a\u4e00\u7cfb\u5217\u5b8f\u89c2\u8282\u70b9\uff0c\u5e76\u5c06\u8fde\u8fb9\u4e5f\u8fdb\u884c\u5f52\u5e76\uff09<\/span>\u5f97\u5230\u5b8f\u89c2\u7684\u590d\u6742\u7f51\u7edc\uff0c\u5e76\u4fdd\u8bc1\u8be5\u8f6c\u5316\u540e\u7684\u7f51\u7edc\u6ee1\u8db3\u52a8\u529b\u5b66\u4e00\u81f4\u6027\uff0c\u5373\u4fdd\u8bc1\u7c97\u7c92\u5316\u5b8c\u4ee5\u540e\u7684\u7f51\u7edc\u5177\u6709\u4e0e\u539f\u59cb\u7f51\u7edc\u76f8\u4f3c\u7684\u968f\u673a\u6e38\u8d70\u52a8\u529b\u5b66\uff1b<\/span><\/p>\n

4. \u5bf9\u6bd4\u5fae\u89c2\u7f51\u7edc\u548c\u7c97\u7c92\u5316\u540e\u7684\u5b8f\u89c2\u7f51<\/span>\u7edc\u7684\u6709\u6548\u4fe1\u606f\uff0c\u5224\u65ad\u56e0<\/span>\u679c\u6d8c\u73b0\u662f\u5426\u53d1\u751f\uff0c\u5e76\u8ba1\u7b97\u56e0\u679c\u6d8c\u73b0\u5f3a\u5ea6\u6570\u503c\u3002<\/span><\/section>\n


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2. \u57fa\u672c\u7406\u8bba<\/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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2.1 \u57fa\u672c\u601d\u60f3<\/span><\/strong><\/span><\/h3>\n

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\u5982\u4f55<\/span>\u5c06Erik Hoel\u7684\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u5e94\u7528\u5230\u590d\u6742\u7f51\u7edc\u4e0a\uff1f\u9996\u5148\uff0cErik Hoel\u7684\u7406\u8bba\u662f\u9488\u5bf9\u79bb\u6563\u72b6\u6001\u9a6c\u5c14\u79d1\u592b\u94fe\u8fdb\u884c\u5c55\u5f00\u7684\u3002\u56e0\u6b64\uff0cKlein\u7b49\u4eba\u9700\u8981\u5c06\u590d\u6742\u7f51\u7edc\u8f6c\u53d8\u4e3a\u9a6c\u5c14\u79d1\u592b\u94fe\u3002\u57fa\u672c\u601d\u60f3\u662f\uff0c\u7ed9\u7f51\u7edc\u8d4b\u4e88\u4e00\u5957\u968f\u673a\u6e38\u8d70\u52a8\u529b\u5b66\uff0c\u4ece\u800c\u5f97\u5230\u9a6c\u5c14\u79d1\u592b\u94fe\u548c\u8f6c\u79fb\u77e9\u9635\u3002\u5176\u6b21\uff0cHoel\u7406\u8bba\u4e2d\u7684\u6838\u5fc3\u662f\u6709\u6548\u4fe1\u606f\u6307\u6807\uff0c\u90a3\u4e48\u5bf9\u8be5\u7406\u8bba\u505a\u5ef6\u5c55\u7684\u65f6\u5019\uff0c\u4e5f\u9700\u8981\u8ba8\u8bba\u4e00\u4e2a\u7f51\u7edc\u7684\u6709\u6548\u4fe1\u606f\u5e94\u8be5\u5982\u4f55\u8ba1\u7b97\u3002\u518d\u6b21\uff0c\u56e0\u679c\u6d8c\u73b0\u73b0<\/span>\u8c61\u662f\u5fc5\u987b\u501f\u52a9\u7c97\u7c92\u5316\u7b56\u7565\u6765\u5c55\u73b0\u7684\uff0c\u56e0\u6b64\uff0cKlein\u7b49\u4eba\u8fd8\u8981\u8003\u8651\u5982\u4f55\u7c97\u7c92\u5316\u4e00\u4e2a\u590d\u6742\u7f51\u7edc\u3002\u4e0b\u9762\uff0c\u672c\u8bcd\u6761\u5206\u522b\u8fdb\u884c\u4ecb\u7ecd\u3002<\/span><\/section>\n


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2.2 \u968f\u673a\u6e38\u8d70\u52a8\u529b\u5b66<\/span><\/strong><\/span><\/h3>\n

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\u7531\u4e8e\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u91cf\u5316\u7684\u662f\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\uff0c\u5bf9\u4e8e\u79bb\u6563\u9a6c\u5c14\u79d1\u592b\u52a8\u529b\u5b66\u6765\u8bf4\u5c31\u662f\u8f6c\u79fb\u6982\u7387\u77e9\u9635<\/span>\uff08Transitional Probability Matrix\uff0c\u7b80\u79f0TPM\uff09<\/span>\u3002\u7136\u800c\u5bf9\u4e8e\u590d\u6742\u7f51\u7edc\u6765\u8bf4\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u5df2\u77e5\u7f51\u7edc\uff0c\u5e76\u4e0d\u5177\u6709\u52a8\u529b\u5b66\uff0c\u6240\u4ee5\u9700\u8981\u4eba\u4e3a\u5b9a\u4e49\u4e00\u5957\u7f51\u7edc\u4e0a\u7684\u52a8\u529b\u5b66\u3002Klein\u7b49\u4eba\u501f\u52a9\u968f\u673a\u6e38\u8d70\u5b50\u7684\u6982\u5ff5\uff0c\u5728\u7f51\u7edc\u4e0a\u5b9a\u4e49\u4e86\u4e00\u4e2a\u968f\u673a\u6e38\u8d70\u52a8\u529b\u5b66\uff0c\u8be5\u52a8\u529b\u5b66\u53ef\u4ee5\u88ab\u81ea\u7136\u5730\u7528\u9a6c\u5c14\u79d1\u592b\u94fe\u6765\u8fdb\u884c\u8868\u793a\uff0c\u5e76\u4e14\u8be5\u9a6c\u5c14\u79d1\u592b\u94fe\u7684\u72b6\u6001\u5c31\u5bf9\u5e94\u4e86\u7f51\u7edc\u4e0a\u7684\u8282\u70b9\uff0c\u800c\u72b6\u6001\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u4e5f\u53ef\u4ee5\u81ea\u7136\u5730\u7528\u7f51\u7edc\u7684\u90bb\u63a5\u77e9\u9635\u7684\u67d0\u79cd\u53d8\u6362\u800c\u5f97\u5230\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5177\u4f53\u7684\uff0c\u5047\u8bbe\u6211\u4eec\u8003\u8651\u4e00\u4e2a\u8fde\u901a\u56feG\uff0c\u90bb\u63a5\u77e9\u9635\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>A<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u3002\u5047\u8bbe\u56fe\u4e0a\u6709N\u4e2a\u8282\u70b9\uff0c\u5206\u522b\u8868\u793a\u4e3a1,2,…,N\u3002\u6211\u4eec\u9996\u5148\u53ef\u4ee5\u5b9a\u4e49\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>i<\/span><\/mi>\u2208<\/span><\/mo>{<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>2<\/span><\/mn>,<\/span><\/mo>\u22ef<\/span><\/mo>,<\/span><\/mo>N<\/span><\/mi>}<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5230\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>j<\/span><\/mi>\u2208<\/span><\/mo>{<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>2<\/span><\/mn>,<\/span><\/mo>\u22ef<\/span><\/mo>,<\/span><\/mo>N<\/span><\/mi>}<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u8f6c\u79fb\u6982\u7387\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>w<\/span><\/mi>i<\/span><\/sub><\/mi>j<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5b83\u6ee1\u8db3\uff1a<\/span><\/section>\n

<\/span><\/section>\n
<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-nstrut><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-num><\/mjx-line><\/mjx-dstrut><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-spacer><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-munderover><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-mrow><\/mjx-den><\/mjx-row><\/mjx-dtable><\/mjx-dbox><\/mjx-frac><\/mjx-mfrac><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
<\/section>\n
<\/span><\/mi><\/mrow><\/msub><\/mrow><\/mfrac><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u8fd9\u91cc\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-math>a<\/span><\/mi>i<\/span><\/sub><\/mi>j<\/span><\/sub><\/mi><\/mrow><\/msub>\u2265<\/span><\/mo>0<\/span><\/mn><\/mjx-assistive-mml><\/mjx-container>\u4e3aG\u7684\u90bb\u63a5\u77e9\u9635A\u7684\u7b2ci\u884c\uff0c\u7b2cj\u5217\u5143\u7d20\uff0c\u5b83\u5bf9\u5e94\u8fde\u8fb9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-math>i<\/span><\/mi>\u2192<\/span><\/mo>j<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u7684\u6743\u91cd\u3002\u7531\u4e8eG\u662f\u8fde\u901a\u56fe\uff0c\u56e0\u6b64<\/span> <\/span><\/sub><\/span><\/mn><\/mjx-assistive-mml><\/mjx-container>\u3002\u6839\u636e\u8be5\u5b9a\u4e49\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-math>w<\/span><\/mi>i<\/span><\/sub><\/mi>j<\/span><\/sub><\/mi><\/mrow><\/msub><\/mjx-assistive-mml><\/mjx-container>\u81ea\u7136\u6ee1\u8db3\u5f52\u4e00\u5316\u6761\u4ef6\uff1a<\/span><\/section>\n

<\/span><\/section>\n
<\/mjx-c><\/mjx-mi><\/mjx-over><\/mjx-c><\/mjx-mo><\/mjx-base><\/mjx-row><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-under><\/mjx-row><\/mjx-munder><\/mjx-box><\/mjx-munderover><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/span><\/mo><\/munderover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
<\/section>\n
<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u5b9a\u4e49\u4e00\u4e2a\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u5176\u72b6\u6001\u7a7a\u95f4\u4e3a<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-math>{<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>2<\/span><\/mn>,<\/span><\/mo>\u22ef<\/span><\/mo>,<\/span><\/mo>N<\/span><\/mi>}<\/span><\/mo><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ecei\u72b6\u6001\u5230j\u72b6\u6001\u7684\u8f6c\u79fb\u6982\u7387\u5c31\u662f<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-math>w<\/span><\/mi>i<\/span><\/sub><\/mi>j<\/span><\/sub><\/mi><\/mrow><\/msub><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4e14\u5bf9\u5e94\u7684\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u4e3a\uff1a<\/span><\/section>\n

<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>W<\/span><\/mi>=<\/span><\/mo>{<\/span><\/mo>w<\/span><\/mi>i<\/span><\/sub><\/mi>j<\/span><\/sub><\/mi><\/mrow><\/msub>}<\/span><\/mo>N<\/span><\/mi>\u00d7<\/span><\/mo>N<\/span><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n


<\/span><\/h3>\n

2.3 \u5b9a\u4e49\u6709\u6548\u4fe1\u606f<\/span><\/strong><\/span><\/h3>\n

<\/span><\/section>\n
\u5bf9\u4e8e\u4e00\u822c\u7684N\u4e2a\u72b6\u6001\u7684\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u5176\u6982\u7387\u8f6c\u79fb\u77e9\u9635\u4e3a\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>P<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5219\u5176\u6709\u6548\u4fe1\u606f\u53ef\u4ee5\u7531\u4e0b\u5f0f\u8ba1\u7b97<\/span> (\u53c2\u89c1\u6709\u6548\u4fe1\u606f<\/a>)<\/span>\uff1a<\/span><\/section>\n

<\/span><\/mjx-utext><\/mjx-mi><\/mjx-texatom><\/mjx-under><\/mjx-row><\/mjx-munder><\/mjx-mtd><\/mjx-mtr><\/mjx-itable><\/mjx-table><\/mjx-mtable><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/mjx-container><\/section>\n
<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-tstrut><\/mjx-mtd><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-tstrut><\/mjx-mtd><\/mjx-mtr><\/mjx-tstrut><\/mjx-mtd><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-base><\/mjx-row><\/mjx-c><\/mjx-beg><\/mjx-c><\/mjx-ext><\/mjx-c><\/mjx-mid><\/mjx-c><\/mjx-ext><\/mjx-c><\/mjx-end><\/mjx-stretchy-h><\/mjx-mo><\/mjx-under><\/mjx-row><\/mjx-munder><\/mjx-texatom><\/mjx-base><\/mjx-row><\/span><\/mjx-utext><\/mjx-mi><\/mjx-texatom><\/mjx-under><\/mjx-row><\/mjx-munder><\/mjx-mtd><\/mjx-mtr><\/mjx-itable><\/mjx-table><\/mjx-mtable><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/mjx-container><\/section>\n

<\/p>\n

<\/span><\/mi><\/mrow><\/munder><\/mtd><\/mtr><\/mtable><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u8fd9\u91cc\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>P<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u4e3aP\u7684\u7b2ci\u4e2a\u884c\u5411\u91cf\uff0c<\/span> <\/sub><\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e3aP\u7684\u6240\u6709\u884c\u5411\u91cf\u6c42\u5e73\u5747\u5f97\u5230\u7684\u5e73\u5747\u5411\u91cf\u3002\u6839\u636e\u4e0a\u5f0f\uff0cEI\u53ef\u4ee5\u5206\u4e3a\u4e24\u9879\uff0c\u521a\u597d\u5bf9\u5e94\u4e24\u79cd\u8ba1\u7b97\u4e0b\u7684Shannon\u4fe1\u606f\u71b5\uff0c<\/span>\u5373<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-math>\u2212<\/span><\/mo>\u27e8<\/span><\/mo>H<\/span><\/mi>(<\/span><\/mo>P<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>\u27e9<\/span><\/mo><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5b83\u63cf\u8ff0\u4e86P\u7684\u786e\u5b9a\u6027\uff1b\u8fd8\u6709<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-math>H<\/span><\/mi>(<\/sub><\/span><\/mo>)<\/span><\/mo><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5b83\u523b\u753b\u4e86P\u7684\u975e\u7b80\u5e76\u6027\u3002<\/span><\/section>\n

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\u4e0b\u9762\uff0c\u6211\u4eec\u628a\u8fd9\u4e2a\u516c\u5f0f\u5957\u7528\u5230\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u968f\u673a\u6e38\u8d70\u5b50\u5b9a\u4e49\u7684\u9a6c\u5c14\u79d1\u592b\u94fe\u4e0a<\/span><\/section>\n

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 \uff081\uff09<\/span><\/p>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>W<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e3aW\u7684\u7b2ci\u884c\u6784\u6210\u7684\u884c\u5411\u91cf\uff0c\u4e5f\u5bf9\u5e94\u4e86i\u8282\u70b9\u8df3\u8f6c\u5230\u5176\u5b83\u8282\u70b9\u7684\u6982\u7387\uff0c<\/span> <\/sub><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e3aW\u7684\u6240\u6709\u884c\u5411\u91cf\u6c42\u5e73\u5747\u5f97\u5230\u7684\u5e73\u5747\u5411\u91cf\uff0c<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u8868\u793a\u4ece\u4efb\u610f\u8282\u70b9\u8df3\u8f6c\u5230\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>j<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6240\u6709\u6982\u7387\u7684\u5e73\u5747\u503c\u3002\u540c\u6837\uff0c\u6709\u6548\u4fe1\u606f\u53ef\u4ee5\u5206\u89e3\u4e3a\u786e\u5b9a\u6027\u548c\u7b80\u5e76\u6027<\/span>\uff08\u53c2\u8003\u6709\u6548\u4fe1\u606f<\/a>\uff09<\/span>\u3002<\/span><\/section>\n

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\u8fd9\u4e24\u9879\u5206\u522b\u662f\uff1a<\/span><\/p>\n

1. \u786e\u5b9a\u6027\u4e3a<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2212<\/span><\/mo>\u27e8<\/span><\/mo>H<\/span><\/mi>(<\/span><\/mo>W<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>\u27e9<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5176\u4e2d\uff0c\u968f\u673a\u6e38\u8d70\u5b50\u4ece\u8282\u70b9i\u8df3\u51fa\u7684\u4e0d\u786e\u5b9a\u6027\u53ef\u901a\u8fc7\u8282\u70b9\u8df3\u51fa\u6982\u7387\u5411\u91cf<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>W<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u9999\u519c\u71b5\u5b9a\u4e49\uff0c\u5373<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>H<\/span><\/mi>(<\/span><\/mo>W<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span>\u56e0\u6b64\u6574\u4e2a\u7f51\u7edc\u7684\u786e\u5b9a\u6027\u53ef\u901a\u8fc7\u6240\u6709\u8282\u70b9\u9999\u519c\u71b5\u7684\u5e73\u5747\u503c\u53d6\u8d1f\u6570<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2212<\/span><\/mo>\u27e8<\/span><\/mo>H<\/span><\/mi>(<\/span><\/mo>W<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>\u27e9<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5f97\u5230\uff1b<\/span><\/p>\n

2. \u7f51\u7edc\u7684\u975e\u7b80\u5e76\u6027\u4e3a\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>H<\/span><\/mi>(<\/span><\/mo><\/sub><\/span><\/mo><\/mover><\/mrow>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5b83\u662f\u6240\u6709\u8282\u70b9\u8df3\u51fa\u6982\u7387\u7684\u5e73\u5747\u503c\u7684\u71b5\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u9664\u6b64\u4e4b\u5916<\/span>\uff0c1\u5f0f<\/span>\u8fd8\u53ef\u4ee5\u7528\u6709\u6548\u4fe1\u606f\u7684\u539f\u59cb\u5b9a\u4e49\uff0c\u5373do\u5e72\u9884\u5f62\u5f0f\u7684\u4e92\u4fe1\u606f\u6765\u7406\u89e3\u3002\u5728\u521d\u59cb\u65f6\u523b\uff0c\u6211\u4eec\u5047\u8bbe\u968f\u673a\u6e38\u8d70\u5b50\u7684\u521d\u59cb\u72b6\u6001\u5206\u5e03\u4e3a\uff1a<\/span><\/p>\n


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<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>0<\/span><\/sub><\/span><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msub>=<\/span><\/mo>(<\/span><\/mo>1<\/span><\/mn>\/<\/span><\/mo><\/mrow>N<\/span><\/mi>,<\/span><\/mo>1<\/span><\/mn>\/<\/span><\/mo><\/mrow>N<\/span><\/mi>,<\/span><\/mo>\u22ef<\/span><\/mo>,<\/span><\/mo>1<\/span><\/mn>\/<\/span><\/mo><\/mrow>N<\/span><\/mi>)<\/span><\/mo>,<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u8fd9\u76f8\u5f53\u4e8e\u6e38\u8d70\u5b50\u4f1a\u7b49\u6982\u7387\u5730\u5206\u5e03\u5728\u6240\u6709\u7f51\u7edc\u8282\u70b9\u4e0a\uff0c\u8fd9\u79cd\u521d\u59cb\u5206\u5e03\u76f8\u5f53\u4e8e\u6211\u4eec\u5bf9\u968f\u673a\u6e38\u8d70\u5b50\u7684\u521d\u59cb<\/span>\u5206\u5e03\u8fdb\u884c\u4e86do\u5e72\u9884\uff0c\u628a\u8be5\u5206\u5e03\u5e72\u9884\u4e3a\u4e86\u5747\u5300\u5206\u5e03\u3002\u8ba1\u7b97\u5728\u8fd9\u4e2ado\u5e72\u9884\u4e0b\u7684t=1\u65f6\u523b\u548c\u521d\u59cb\u65f6\u523b\u4e24\u72b6\u6001\u5206\u5e03\u7684\u4e92\u4fe1\u606f\uff0c\u6211\u4eec\u540c\u6837\u53ef\u4ee5\u5f97\u52301\u5f0f\u3002<\/span><\/section>\n

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1\u5f0f\u5c31\u662f\u4efb\u610f\u590d<\/span>\u6742\u7f51\u7edcG\u7684\u6709\u6548\u4fe1\u606f\u7684\u5b9a\u4e49\u5f0f\u3002<\/span><\/section>\n


<\/span><\/h4>\n

2.3.1 \u7f51\u7edc\u5b9e\u4f8b<\/span><\/strong><\/h4>\n

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\u9996\u5148\uff0c\u4e3a\u4e86\u76f4\u89c2\u5730\u770b\u5230\u7f51\u7edc\u7684\u62d3\u6251\u7ed3\u6784\u548c\u6709\u6548\u4fe1\u606f\u3001\u786e\u5b9a\u6027\u3001\u7b80\u5e76\u6027\u7b49\u5404\u4e2a\u7f51\u7edc\u6307\u6807\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e0b\u56fe\u5c55\u793a\u4e866\u79cd\u7279\u6b8a\u7684\u4eba\u5de5\u7f51\u7edc\uff0c\u5e76\u5217\u51fa\u4e86\uff1a\u786e\u5b9a\u6027\u3001\u7b80\u5e76\u6027\u4ee5\u53ca\u6709\u6548\u4fe1\u606fEI\u503c\u3002\u4e0b\u56fe\u5c55\u793a\u76846\u4e2a\u56fe\u4e2d\uff0c\u6709\u5411\u73af\u5f62\u7f51\u7edc<\/span>\uff08\u7b2c\u4e00\u4e2a\u56fe\uff09<\/span>\u7684\u786e\u5b9a\u6027\u6700\u9ad8\uff0c\u7b80\u5e76\u6027\u6700\u4f4e\uff0c\u56e0\u6b64\u6709\u6548\u4fe1\u606f\u6700\u5927\uff0c\u800c\u6709\u5411\u5168\u8fde\u901a\u56fe<\/span>\uff08\u7b2c\u4e09\u4e2a\u56fe\uff09<\/span>\u7684\u786e\u5b9a\u6027\u548c\u7b80\u5e76\u6027\u90fd\u6700\u5c0f\uff0c\u56e0\u6b64\u6709\u6548\u4fe1\u606f\u4e5f\u6700\u5c0f\uff0c\u5176\u4f59\u56db\u4e2a\u56fe\u7684\u6709\u6548\u4fe1\u606f\u4ecb\u4e8e\u8fd9\u4e24\u4e2a\u56fe\u4e4b\u95f4\u3002<\/span><\/section>\n

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<\/section>\n

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\u6b64\u5916\uff0c\u4e0b\u9762\u5c55\u793a\u4e86\u4e94\u79cd\u7ecf\u5178\u7684\u4eba\u5de5\u7f51\u7edc<\/span>\uff08\u5b8c\u5168\u56fe\u3001\u661f\u578b\u56fe\u3001\u73af\u5f62\u56fe\u3001BA (\u65e0\u6807\u5ea6\u7f51\u7edc)\u3001ER (\u968f\u673a\u7f51\u7edc)\uff09<\/span>\u7684\u786e\u5b9a\u6027\u548c\u7b80\u5e76\u6027\u7684\u5927\u5c0f\u5206\u5e03\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u661f\u578b\u7f51\u7edc\u7684\u786e\u5b9a\u6027\u6700\u9ad8\u4f46\u662f\u7b80\u5e76\u6027\u4e5f\u6700\u9ad8\uff0c\u56e0\u6b64\u6709\u6548\u4fe1\u606f\u4e5f\u6700\u4f4e\u3002\u540c\u6837\u5b8c\u5168\u56fe\u7684\u786e\u5b9a\u6027\u548c\u7b80\u5e76\u6027\u90fd\u6700\u5c0f\uff0c\u56e0\u6b64\u6709\u6548\u4fe1\u606f\u4e5f\u6700\u4f4e\u3002\u5176\u4f59\u4e09\u4e2a\u56fe\u7684\u786e\u5b9a\u6027\u8f83\u9ad8\uff0c\u7b80\u5e76\u6027\u8f83\u4f4e\uff0c\u56e0\u6b64\u6709\u6548\u4fe1\u606f\u4e5f\u8f83\u5927\u3002<\/span><\/section>\n

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<\/section>\n


<\/span><\/h3>\n

2.4 \u7c97\u7c92\u5316\u590d\u6742\u7f51\u7edc<\/span><\/strong><\/span><\/h3>\n

<\/span><\/section>\n

\u4e3a\u4e86\u8bc6\u522b\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\uff0c\u9700\u8981\u5bf9\u539f\u59cb\u7f51\u7edc\u505a\u7c97\u7c92\u5316\uff0c\u800c\u7c97\u7c92\u5316\u64cd\u4f5c\u901a\u5e38\u9700<\/span>\u8981\u6709\u4e24\u4e2a\u6b65\u9aa4\uff1a<\/span><\/p>\n

1. \u5bf9\u539f\u59cb\u7f51\u7edc\u7684\u8282\u70b9\u8fdb\u884c\u5206\u7ec4\uff1b<\/span><\/p>\n

2. \u6839\u636e\u8282\u70b9\u5206\u7ec4\uff0c\u5bf9\u7f51\u7edc\u7684\u8282\u70b9\u548c\u76f8\u5e94\u7684\u8fde\u8fb9\u8fdb\u884c\u5f52\u5e76\uff0c\u4ece\u800c\u5f97\u5230\u4e00\u4e2a\u5b8f\u89c2\u7f51\u7edc\u3002<\/span><\/section>\n

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\u6700\u540e\uff0c\u901a\u8fc7\u6bd4\u8f83\u5b8f\u89c2\u7f51\u7edc\u4e0e\u5fae\u89c2\u7f51\u7edc\u7684\u6709\u6548\u4fe1\u606f\uff0c\u5224\u65ad\u80fd\u5426\u53d1\u751f\u56e0\u679c\u6d8c\u73b0\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5176\u4e2d\uff0c\u8282\u70b9\u5206\u7ec4\u7684\u76ee\u7684\u662f\u786e\u5b9a\u54ea\u4e9b\u539f\u59cb\u7f51\u7edc\u7684\u8282\u70b9\u5e94\u8be5\u88ab\u5f52\u5e76\u4e3a\u4e00\u4e2a\u5b8f\u89c2\u8282\u70b9\uff1b\u800c\u7f51\u7edc\u7684\u5f52\u5e76\u7684\u76ee\u7684\u662f\u6839\u636e\u5206\u7ec4\u548c\u539f\u7f51\u7edc\u7684\u7ed3\u6784\u800c\u5f97\u5230\u4e00\u4e2a\u66f4\u5c0f\u7684\u7c97\u7c92\u5316\u7684\u7f51\u7edc\uff0c\u4f46\u5374\u5e76\u4e0d\u4e22\u5931\u539f\u59cb\u7f51\u7edc\u4e3b\u8981\u7279\u5f81\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5728Klein\u7b49\u4eba\u7684\u8bba\u6587[2]\uff0c\u4ee5\u53caGriebenow \u7b49\u4eba[3]\u7684\u6587\u732e\u4e2d\uff0c\u4f5c\u8005\u4eec\u4e3b\u8981\u63d0\u51fa\u4e86\u4e09\u79cd\u7c97\u7c92\u5316\u7f51\u7edc\u7684\u65b9\u6cd5\uff0c\u5305\u62ec\uff1a\u8d2a\u5a6a\u7b97\u6cd5\u3001\u8c31\u5206\u89e3\u65b9\u6cd5\u4ee5\u53ca\u68af\u5ea6\u4e0b\u964d\u65b9\u6cd5\u3002\u8fd9\u4e09\u79cd\u65b9\u6cd5\u6700\u5927\u7684\u4e0d\u540c\u5c31\u5728\u4e8e\u8282\u70b9\u5206\u7ec4\u65b9\u6848\u7684\u4e0d\u540c\uff0c\u81f3\u4e8e\u5982\u4f55\u5f52\u5e76\u8282\u70b9\u548c\u7f51\u7edc\u5219\u9664\u4e86\u68af\u5ea6\u4e0b\u964d\u65b9\u6cd5\u4ee5\u5916\uff0c\u53e6\u5916\u4e24\u4e2a\u90fd\u91c7\u7528\u4e86\u76f8\u540c\u7684\u5904\u7406\u624b\u6bb5\uff0c\u5373\u9ad8\u9636\u4f9d\u8d56\u9879\u5efa\u6a21<\/span>\uff08HOMs\uff09<\/span>[4]\uff0c\u5176\u76ee\u7684\u662f\u4e3a\u4e86\u4fdd\u8bc1\u5206\u7ec4\u540e\u7684\u5b8f\u89c2\u7f51\u7edc\u4e0e\u539f\u59cb\u7684\u5fae\u89c2\u7f51\u7edc\u5177\u6709\u76f8\u540c\u7684\u968f\u673a\u6e38\u8d70\u52a8\u529b\u5b66\u7279\u6027\u3002<\/span><\/section>\n

<\/span><\/section>\n
Klein\u7b49\u4eba[2]\u76f8\u5f53\u4e8e\u4f7f\u7528\u8d2a\u5a6a\u7b97\u6cd5\u5bf9\u8282\u70b9\u8fdb\u884c\u5206\u7ec4\uff0c\u4f46\u5b9e\u8d28\u4e0a\u8be5\u65b9\u6cd5\u5c06\u5206\u7ec4\u548c\u5f52\u5e76\u5408\u5e76\u5728\u4e00\u8d77\u6267\u884c\u4e86\u3002\u8fd9\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u5927\u89c4\u6a21\u7f51\u7edc\u6765\u8bf4\u6548\u7387\u5f88\u4f4e\u3002\u6240\u4ee5\uff0c\u540e\u6765Griebenow[3]\u53c8\u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u8c31\u5206\u89e3\u7684\u65b9\u6cd5\u6765\u5bf9\u539f\u59cb\u7f51\u7edc\u8282\u70b9\u8fdb\u884c\u5206\u7ec4\uff0c\u5e76\u5c06\u8fd9\u79cd\u65b9\u6cd5\u5e94\u7528\u4e8e\u504f\u597d\u4f9d\u9644\u7f51\u7edc\u3002\u76f8\u8f83\u4e8e\u8d2a\u5a6a\u7b97\u6cd5\u4ee5\u53ca\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\uff0c\u8c31\u5206\u89e3\u7b97\u6cd5\u7684\u8ba1\u7b97\u65f6\u95f4\u66f4\u5c11\uff0c\u540c\u65f6\u627e\u5230\u7684\u5b8f\u89c2\u7f51\u7edc\u4e5f\u66f4\u597d<\/span>\uff08EI\u66f4\u5927\uff09<\/span>\u3002<\/span><\/section>\n

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\u4e0b\u9762\u6211\u4eec\u5206\u522b\u8be6\u7ec6\u4ecb\u7ecd\u8fd9\u4e9b\u7c97\u7c92\u5316\u65b9\u6cd5\uff1a<\/span><\/section>\n


<\/span><\/h4>\n

2.4.1 \u7c97\u7c92\u5316\u7b97\u6cd5<\/span><\/strong><\/h4>\n

<\/span><\/h5>\n
2.4.1.1 \u8d2a\u5a6a\u7b97\u6cd5<\/span><\/h5>\n

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\u8be5\u65b9\u6cd5\u5e76\u4e0d\u660e\u663e\u533a\u5206\u5206\u7ec4\u548c\u5f52\u5e76\uff0c\u800c\u662f\u628a\u4e24\u4e2a\u6b65\u9aa4\u5408\u5e76\u5230\u4e86\u4e00\u8d77\u3002<\/span><\/section>\n

<\/span><\/section>\n

\u8f93\u5165\uff1a\u5177\u6709N\u4e2a\u8282\u70b9\u7684\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>G<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5176\u90bb\u63a5\u77e9\u9635\u4e3a\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>A<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1b\u8f93\u51fa\uff1a\u7ecf\u8fc7\u7c97\u7c92\u5316\u540e\u7684\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-math>G<\/span><\/mi>\u2032<\/span><\/mo><\/msup><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5176\u90bb\u63a5\u77e9\u9635\u4e3a\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ee5\u53ca\u4ece<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>A<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u5230<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>B<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u7684\u7c97\u7c92\u5316\u65b9\u5f0f<\/span><\/p>\n

1. \u521d\u59cb\u5316\u4e00\u4e2a\u8282\u70b9\u7684\u96c6\u5408V\uff0c\u5c06V<\/span>\u4e2d\u7684\u6bcf\u4e2a\u8282\u70b9\u6240\u5c5e\u7684\u9a6c\u5c14\u53ef\u592b\u6bef<\/span>\uff08\u8fd9\u662f\u4e00\u4e2a\u8282\u70b9\u7684\u96c6\u5408\uff0c\u65e2\u5305\u62ec\u8be5\u8282\u70b9\u7684\u7236\u8282\u70b9\u3001\u5b50\u8282\u70b9\u4ee5\u53ca\u5b50\u8282\u70b9\u7684\u5176\u4ed6\u7236\u8282\u70b9\uff09<\/span>\u4e5f\u52a0\u5165\u96c6\u5408\u4e2d\uff1b<\/span><\/p>\n

2. \u904d\u5386<\/span>G<\/span>\u4e2d\u7684\u8282\u70b9<\/sub><\/span>\uff08\u5982\u679c\u8282\u70b9\u5df2\u7ecf\u88ab\u5408\u5e76\u6210\u5b8f\u89c2\u8282\u70b9\u5219\u8df3\u8fc7\uff09\uff0c\u76f4\u5230\u6240\u6709\u7684\u8282\u70b9\u904d\u5386\u4e00\u904d\u505c\u6b62\uff1b<\/span><\/p>\n

3. \u521d\u59cb\u5316\u4e00\u4e2a\u961f\u5217<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>Q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>, \u53d6\u51fa\u96c6\u5408V\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5bf9\u5e94\u7684\u9a6c\u5c14\u53ef\u592b\u6bef\u4e2d\u7684\u6240\u6709\u8282\u70b9\uff0c\u5c06\u5176\u52a0\u5165\u961f\u5217\u4e2d\uff1b<\/span><\/p>\n

4. \u521d\u59cb\u65f6<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>=<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span><\/p>\n

5. \u5206\u522b\u5c1d\u8bd5\u5c06 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e0e <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>j<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2208<\/span><\/mo>Q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5408\u5e76\uff0c\u5f62\u6210\u4e00<\/span>\u4e2a\u65b0\u7684\u5b8f\u89c2\u8282\u70b9\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/p>\n

1\uff09\u6267\u884c\u7f51\u7edc\u5f52\u5e76\u7b97\u6cd5\uff0c\u5c1d\u8bd5\u5f52\u5e76\u7f51\u7edc<\/span>\uff08\u5177\u4f53\u65b9\u6cd5\u53c2\u8003\u7f51\u7edc\u5f52\u5e76<\/span>\uff09\uff0c\u5e76\u8ba1\u7b97\u65b0\u7f51\u7edc\u7684EI\uff1b<\/span><\/section>\n
2\uff09\u5982\u679c\u5f52\u5e76\u540e\u7684\u7f51\u7edc\u7684EI\u589e\u52a0\u4e86\u4e14\u6ee1\u8db3\u7c97\u7c92\u5316\u540e\u7684\u5b8f\u89c2\u7f51\u7edc\u4e0e\u539f\u59cb\u7f51\u7edc\u4fdd\u6301\u52a8\u529b\u5b66\u4e00\u81f4\u6027<\/span>\uff08\u5177\u4f53\u65b9\u6cd5\u53c2\u8003\u52a8\u529b\u5b66\u7684\u4e00\u81f4\u6027\u68c0\u9a8c\uff09<\/span>\uff0c\u5c31\u5c06\u8fd9\u4e24\u4e2a\u8282\u70b9\u5f52\u5e76\u5230\u4e00\u8d77\u7ec4\u6210\u65b0\u7684\u5b8f\u89c2\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u6839\u636e\u7f51\u7edc\u5f52\u5e76\u65b9\u6cd5<\/span>\uff08\u5177\u4f53\u65b9\u6cd5\u53c2\u8003\u7f51\u7edc\u5f52\u5e76\uff09<\/span>\u5f97\u5230\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B\uff1b<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
3\uff09\u5c06<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>j<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6240\u5c5e\u7684\u9a6c\u5c14\u53ef\u592b\u6bef\u4e2d\u7684\u4e0d\u5728\u961f\u5217\u4e2d\u7684\u8282\u70b9\u52a0\u5165\u961f\u5217\u4e2d\uff0c\u66f4\u65b0\u96c6\u5408\u4e2d\u8282\u70b9\u7684\u9a6c\u5c14\u53ef\u592b\u6bef\uff0c\u5982\u679c\u8282\u70b9\u7684\u9a6c\u5c14\u53ef\u592b\u6bef\u4e2d\u5305\u62ec<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>j<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8282\u70b9\uff0c\u5219\u5c06<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>j<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8282\u70b9\u53bb\u9664\uff1b<\/span><\/section>\n
4\uff09EI\u6ca1\u589e\u52a0\u5219\u7ee7\u7eed\u5c1d\u8bd5\u4e0e\u961f\u5217\u4e2d\u7684\u5176\u4ed6\u8282\u70b9\u8fdb\u884c\u5f52\u5e76\uff0c\u76f4\u81f3\u961f\u5217\u4e2d\u7684\u8282\u70b9\u90fd\u5f52\u5e76\u8fc7\uff0c\u8fd4\u56de\u6b65\u9aa42\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u65f6\u95f4\u590d\u6742\u5ea6\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>O<\/span><\/mi>(<\/span><\/mo>N<\/span><\/mi><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>4<\/span><\/sup><\/span><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msup>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

<\/span><\/section>\n

\u7f3a\u70b9\uff1a<\/span><\/p>\n

1. \u65f6\u95f4\u590d\u6742\u5ea6\u6bd4\u8f83\u9ad8\uff0c\u4e0d\u9002\u5408\u5bf9\u89c4\u6a21\u5927\u7684\u7f51\u7edc\u8fdb\u884c\u7c97\u7c92\u5316<\/span><\/section>\n

<\/span><\/h5>\n
2.4.1.2 \u8c31\u5206\u89e3\u65b9\u6cd5<\/span><\/h5>\n

<\/span><\/section>\n
\u8be5\u65b9\u6cd5\u662f\u5c06\u539f\u59cb\u7f51\u7edc\u5bf9\u5e94\u7684\u8f6c\u79fb\u77e9\u9635\u505a\u7279\u5f81\u503c\u5206\u89e3\uff0c\u5e76\u4f7f\u7528\u8fd9\u4e9b\u7279\u5f81\u5411\u91cf\u6765\u5bf9\u8282\u70b9\u8fdb\u884c\u805a\u7c7b\uff0c\u4e4b\u540e\u518d\u5f52\u5e76\u7f51\u7edc\u3002<\/span><\/section>\n

<\/span><\/section>\n

\u8f93\u5165\uff1a\u539f\u59cb\u5305\u542b<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>N<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e2a\u8282\u70b9\u7684\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>G<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\uff0c\u53ca\u5bf9\u5e94\u7684\u90bb\u63a5\u77e9\u9635<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>A<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u8ddd\u79bb\u8d85\u53c2<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1b\u8f93\u51fa\uff1a\u7c97\u7c92\u5316\u540e\u7684\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-math>G<\/span><\/mi>\u2032<\/span><\/mo><\/msup><\/mjx-assistive-mml><\/mjx-container>\uff0c\u53ca\u5bf9\u5e94\u7684\u90bb\u63a5\u77e9\u9635<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ee5\u53ca\u4ece<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>A<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u5230<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>B<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u7684\u7c97\u7c92\u5316\u65b9\u5f0f<\/span><\/p>\n

1. \u9488\u5bf9\u90bb\u63a5\u77e9\u9635<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>A<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5f97<\/span>\u5230\u5176\u8f6c\u79fb\u77e9\u9635<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>W<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u7136\u540e\u8fdb\u884c\u77e9\u9635\u7684\u7279\u5f81\u503c\u5206\u89e3\uff0c\u5f97\u5230\u7279\u5f81\u503c\u96c6\u5408<\/sub><\/span>\u4e0e\u7279\u5f81\u5411\u91cf\u96c6\u5408<\/sub><\/span>\u3002<\/span><\/p>\n

2. \u6784\u5efa\u65b0\u7684\u6709\u504f\u7684\u7279\u5f81\u5411\u91cf\u96c6\u5408<\/sub><\/span>\uff08\u65b0\u7684\u7f51\u7edc\u8282\u70b9\u6570\u91cf\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>N<\/span><\/mi>\u2032<\/span><\/mo><\/msup>=<\/span><\/mo>r<\/span><\/mi>a<\/span><\/mi>n<\/span><\/mi>k<\/span><\/mi>(<\/span><\/mo>A<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09<\/span>\uff0c\u8be5\u96c6\u5408\u4e2d\u7684\u6bcf\u4e2a\u5411\u91cf\u88ab\u5176\u5bf9\u5e94\u7684\u7279\u5f81\u503c\u6240\u52a0\u6743\uff0c\u540c\u65f6\u53bb\u9664\u4e860\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf\u3002\u76f4\u89c2\u5730\u8bf4\uff0c\u5ffd\u7565\u7279\u5f81\u503c\u4e3a0\u7684\u7279\u5f81\u5411\u91cf\u662f\u6709\u610f\u4e49\u7684\uff0c\u56e0\u4e3a\u5b83\u5bf9\u5e94\u7f51\u7edc\u4e2d\u7684\u7b80\u5e76\u6027\uff0c\u5e76\u4e14\u975e\u96f6\u7279\u5f81\u503c\u548c\u76f8\u5e94\u7684\u7279\u5f81\u5411\u91cf\u5305\u542b\u4e86\u4e30\u5bcc\u7684\u7f51\u7edc\u62d3\u6251\u7ed3\u6784\u4fe1\u606f\u3002<\/span><\/p>\n

3. \u4f9d\u636e<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>\u2032<\/span><\/mo><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8ba1\u7b97\u8282\u70b9\u95f4\u7684\u76f8\u4f3c\u77e9\u9635<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>D<\/span><\/mi><\/mi><\/msup><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>N<\/span><\/sub><\/span><\/mi>\u2032<\/span><\/sub><\/span><\/mo><\/msup>\u00d7<\/span><\/sub><\/span><\/mi>N<\/span><\/sub><\/span><\/mi>\u2032<\/span><\/sub><\/span><\/mo><\/msup><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mo><\/msup><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1a<\/span><\/p>\n

1\uff09\u5982\u679c\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>j<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5206\u522b\u5728\u5bf9\u65b9\u7684\u9a6c\u5c14\u53ef\u592b\u6bef\u4e2d\uff0c\u5219\u901a\u8fc7\u65b0\u7684\u7279\u5f81\u5411\u91cf\u8ba1\u7b97\u4e24\u4e2a\u8282\u70b9\u7684cos\u76f8\u4f3c\u6027\u4f5c\u4e3a\u4e24\u8005\u95f4\u7684\u76f8\u4f3c\u5ea6<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>i<\/span><\/sub><\/mi>j<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>j<\/span><\/sub><\/mi>i<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
2\uff09\u5426\u5219\u5c06\u4e24\u4e2a\u8282\u70b9\u95f4\u7684\u76f8\u4f3c\u5ea6\u8bbe\u4e3a\u65e0\u7a77\u5927\u221e<\/span>\uff08\u53ef\u4ee5\u8bbe\u4e2a\u6bd4\u8f83\u5927\u7684\u503c\uff0c\u598210000\uff09<\/span><\/section>\n

4. \u57fa\u4e8e\u76f8\u4f3c\u5ea6\u77e9\u9635<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>D<\/span><\/mi><\/mi><\/msup><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>N<\/span><\/sub><\/span><\/mi>\u2032<\/span><\/sub><\/span><\/mo><\/msup>\u00d7<\/span><\/sub><\/span><\/mi>N<\/span><\/sub><\/span><\/mi>\u2032<\/span><\/sub><\/span><\/mo><\/msup><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mo><\/msup><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u4e00\u4e2a\u8d85\u53c2<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff08\u9700\u8981\u7ebf\u6027\u641c\u7d22\uff0c\u53ef\u4ee5\u9009\u62e9EI\u6700\u5927\u7684\u53c2\u6570\uff09<\/span>\uff0c\u4f7f\u7528OPTICS\u7b97\u6cd5<\/span>\uff08\u662f\u4e00\u79cd\u57fa\u4e8e\u5bc6\u5ea6\u7684\u805a\u7c7b\u7b97\u6cd5\uff0c\u65e8\u5728\u8bc6\u522b\u6570\u636e\u96c6\u4e2d\u4e0d\u540c\u5bc6\u5ea6\u7684\u805a\u7c7b\u7ed3\u6784\uff09<\/span>\u8fdb\u884c\u805a\u7c7b\uff0c\u8f93\u51fa\u5bf9\u5e94\u8d85\u53c2<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e0b\u7684\u805a\u7c7b\u65b9\u5f0f\u3002<\/span><\/p>\n

5. \u6839\u636e\u805a\u7c7b\u65b9\u6848\uff0c\u5f52\u5e76\u6839\u636e\u7f51\u7edc\u5f52\u5e76\u65b9\u6cd5<\/span>\uff08\u53c2\u89c1\u7f51\u7edc\u5f52\u5e76\uff09<\/span>\u5f97\u5230\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B\u3002<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n


<\/span><\/p>\n

\u65f6\u95f4\u590d\u6742\u5ea6\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>O<\/span><\/mi>(<\/span><\/mo>N<\/span><\/mi><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>3<\/span><\/sup><\/span><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msup>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/p>\n

\u7f3a\u70b9\uff1a<\/span><\/p>\n

1. \u5bf9\u89c4\u6a21\u5927\u7684\u7f51\u7edc\u8fdb\u884c\u7c97\u7c92\u5316\u65f6\uff0c\u5bf9\u8f6c\u79fb\u77e9\u9635\u8fdb\u884c\u7279\u5f81\u503c\u5206\u89e3\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u4e5f\u8f83\u9ad8\uff1b<\/span><\/p>\n

2. \u805a\u7c7b\u7b97\u6cd5\u6240\u9700<\/span>\u7684\u8ddd\u79bb\u8d85\u53c2<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u9700\u8981\u7ebf\u6027\u641c\u7d22\uff0c\u9700\u8981\u52a0\u5165\u4eba\u4e3a\u7684\u5148\u9a8c\u77e5\u8bc6\u3002<\/span><\/p>\n


<\/span><\/h5>\n
2.4.1.3 \u68af\u5ea6\u4e0b\u964d\u65b9\u6cd5<\/span><\/h5>\n

<\/span><\/section>\n
\u8be5\u65b9\u6cd5\u7684\u6838\u5fc3\u662f\u5c06\u7c97\u7c92\u5316\u65b9\u6848\u5199\u6210\u4e00\u4e2a\u5206\u7ec4\u77e9\u9635\uff0c\u540c\u65f6\u5c06\u8fd9\u4e2a\u5206\u7ec4\u77e9\u9635\u53c2\u6570\u5316\uff0c\u8fd9\u6837\u628a\u6700\u7ec8\u7684\u7c97\u7c92\u5316\u7f51\u7edc\u8868\u8fbe\u4e3a\u5206\u7ec4\u77e9\u9635\u4e0e\u539f\u59cb\u7f51\u7edc\u90bb\u63a5\u77e9\u9635\u7684\u4e58\u79ef\uff0c\u5e76\u7531\u6b64\u8ba1\u7b97EI\u3002\u4e4b\u540e\uff0c\u4f7f\u7528\u81ea\u52a8\u5fae\u5206\u65b9\u6cd5<\/span>\u6267\u884c\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\u4ece\u800c\u4f18\u5316\u5206\u7ec4\u77e9\u9635\uff0c\u4ee5\u4f7f\u5f97EI\u6700\u5927\u5316\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u8f93\u5165\uff1a\u5305\u542b<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>N<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e2a\u8282\u70b9\u7684\u539f\u59cb\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>G<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5176\u5bf9\u5e94\u90bb\u63a5\u77e9\u9635\u4e3a\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>A<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u7c97\u7c92\u5316\u540e\u7684\u7f51\u7edc\u6240\u5305\u542b\u7684\u8282\u70b9\u6570\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>K<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1b\u8f93\u51fa\uff1a\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-math>G<\/span><\/mi>\u2032<\/span><\/mo><\/msup><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5bf9\u5e94\u7684\u90bb\u63a5\u77e9\u9635\u4e3a\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ee5\u53ca\u5bf9\u5e94\u7684\u4ece<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>A<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u5230<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>B<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u7684\u7c97\u7c92\u5316\u77e9\u9635\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>M<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
1. \u9488\u5bf9\u4e00\u4e2a\u542b\u6709<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>N<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2a\u8282\u70b9\u7684\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>A<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u968f\u673a\u521d\u59cb\u5316\u4e00\u4e2a\u5206\u7ec4\u77e9\u9635<\/span><\/sub><\/span><\/mi><\/mrow><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>K<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u5206\u7ec4\u7684\u5927\u5c0f\uff0c\u5176\u4e2d\u77e9\u9635\u91cc\u9762\u7684\u6bcf\u4e2a\u5143\u7d20<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>m<\/span><\/mi>i<\/span><\/sub><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub>=<\/span><\/mo>P<\/span><\/mi>r<\/span><\/mi>\u2061<\/span><\/mo>(<\/span><\/mo>v<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub>\u2208<\/span><\/mo>v<\/span><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u8868\u793a\u5fae\u89c2\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5c5e\u4e8e\u5b8f\u89c2\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>\u03bc<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6982\u7387\uff1b<\/span><\/section>\n

<\/span><\/section>\n
2. \u6839\u636e\u5fae\u89c2\u7f51\u7edc\u548c\u5206\u7ec4\u77e9\u9635\u6784\u5efa\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5177\u4f53\u8ba1\u7b97\u65b9\u6cd5\u5206\u4e3a\u4e24\u4e2a\u6b65\u9aa4\uff1a1\uff09<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>M<\/span><\/mi><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>T<\/span><\/sup><\/span><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msup>A<\/span><\/mi>M<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1b2\uff09\u5f52\u4e00\u5316\u524d\u4e00\u6b65\u9aa4\u5f97\u5230\u7684\u77e9\u9635\uff1b<\/span><\/section>\n

<\/span><\/section>\n
3. \u4f7f\u7528\u5e26\u52a8\u91cf\u7684\u68af\u5ea6\u4e0b\u964d\u65b9\u6cd5\u4f18\u5316<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>M<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4f18\u5316\u76ee\u6807\u662f\u6700\u5927\u5316\u5b8f\u89c2\u7f51\u7edc\u7684\u6709\u6548\u4fe1\u606fEI\u3002<\/span><\/section>\n
<\/span><\/section>\n

\u65f6\u95f4\u590d\u6742\u5ea6\uff1a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>O<\/span><\/mi>(<\/span><\/mo>N<\/span><\/mi>3<\/span><\/mn><\/msup>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/p>\n

\u7f3a\u70b9\uff1a<\/span><\/section>\n
1. \u521d\u59cb\u5316\u5206\u7ec4\u77e9\u9635\u7684\u9009\u62e9\uff0c\u591a\u6b21\u91cd\u590d\u5b9e\u9a8c\u4f1a\u5f97\u5230\u4e0d\u4e00\u6837\u7684\u7ed3\u679c\uff1b<\/span><\/section>\n
2. \u4f9d\u8d56\u795e\u7ecf\u7f51\u7edc\u7684\u8d85\u53c2\uff0c\u5982\u5b66\u4e60\u7387\u3001\u8fed\u4ee3\u6b21\u6570\u7b49\u3002<\/span><\/section>\n


<\/span><\/h3>\n

2.5 \u5b9a\u4e49\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/strong><\/span><\/h3>\n

<\/section>\n
\u6709\u4e86\u6bcf\u4e2a\u7f51\u7edc\u7684EI\u5ea6\u91cf\u503c\uff0c\u4ee5\u53ca\u5982\u4f55\u5bf9\u4efb\u610f\u7684\u590d\u6742\u7f51\u7edc\u8fdb\u884c\u7c97\u7c92\u5316\u7684\u65b9\u6848\uff0c\u6211\u4eec\u4fbf\u53ef\u4ee5\u7ed9\u51fa\u590d\u6742\u7f51\u7edc\u4e0a\u56e0\u679c\u6d8c\u73b0\u7684\u5177\u4f53\u91cf\u5316\u4e86\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u7ed9\u5b9a\u4e00\u4e2a\u5fae\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>A<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4ee5\u53ca\u901a\u8fc7\u4e0a\u9762\u7684\u7c97\u7c92\u5316\u65b9\u6cd5\u5f97\u5230\u5bf9\u5e94\u7684\u5b8f\u89c2\u7f51\u7edc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>B<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u6211\u4eec\u53ef\u4ee5\u5b9a\u4e49\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\u7684\u7a0b\u5ea6\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>C<\/span><\/mi>E<\/span><\/mi>=<\/span><\/mo>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>B<\/span><\/mi>)<\/span><\/mo>\u2212<\/span><\/mo>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>A<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n


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3. \u6570\u503c\u7ed3\u679c<\/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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2020\u5e74Klein\u7b49\u4eba\u5728\u8bba\u6587[2]\u4e2d\u5206\u6790\u4e86\u968f\u673a<\/span>\uff08ER\uff09<\/span>\u3001\u504f\u597d\u4f9d\u8d56<\/span>\uff08PA\uff09<\/span>\u7b49\u4eba\u5de5\u7f51\u7edc\uff0c\u4ee5\u53ca\u751f\u7269\u3001\u793e\u4f1a\u3001\u4fe1\u606f\u548c\u6280\u672f4\u7c7b\u771f\u5b9e\u7f51\u7edc\u7684\u6709\u6548\u4fe1\u606f<\/span>\uff08EI\uff09<\/span>\u4ee5\u53ca\u56e0\u679c\u6d8c\u73b0<\/span>\uff08CE\uff09<\/span>\u3002<\/span><\/section>\n

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3.1 \u4eba\u5de5\u7f51\u7edc<\/span><\/strong><\/span><\/p>\n


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\u4e3a\u4e86\u8fdb\u4e00\u6b65\u63a2\u7a76\u4eba\u5de5\u7f51\u7edc\u968f\u7740\u6a21\u578b\u53c2\u6570\u548c\u7f51\u7edc\u89c4\u6a21\u7684\u53d8\u5316\uff0cEI\u548cCE\u5982\u4f55\u53d8\u5316\uff0c\u4f5c\u8005\u9009\u53d6\u4e86\u4e24\u79cd\u7ecf\u5178\u7f51\u7edcER<\/span>\uff08\u968f\u673a\u7f51\u7edc\uff09<\/span>\u548cPA<\/span>\uff08\u504f\u597d\u4f9d\u8d56\u7f51\u7edc\uff09<\/span>\u8fdb\u884c\u5b9e\u9a8c\uff1a<\/span><\/p>\n


<\/span><\/p>\n

1\uff09\u5bf9\u4e8eER\u7f51\u7edc\uff1a\u6709\u6548\u4fe1\u606f\u7684\u5927\u5c0f\u53ea\u4f9d\u8d56\u8fde\u63a5\u6982\u7387 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5e76\u4e14\u968f\u7740\u7f51\u7edc\u89c4\u6a21\u7684\u589e\u5927\u6709\u6548\u4fe1\u606f\u4f1a\u6536\u655b\u5230<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2212<\/span><\/mo>log<\/span><\/mi><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>2<\/span><\/sub><\/span><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msub>\u2061<\/span><\/mo>p<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u5728\u67d0\u70b9\u4e4b\u540e\uff0cER\u7f51\u7edc\u7ed3\u6784\u4e0d\u4f1a\u968f\u7740\u5176\u89c4\u6a21\u7684\u589e\u52a0\u800c\u5305\u542b\u66f4\u591a\u7684\u4fe1\u606f\uff0c\u8fd9\u4e2a\u76f8\u53d8\u70b9\u8fd1\u4f3c\u5728\u7f51\u7edc\u7684\u5e73\u5747\u5ea6 <\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><<\/span><\/mo>k<\/span><\/mi>><\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>=<\/span><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>log<\/span><\/mi><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>2<\/span><\/sub><\/span><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msub>\u2061<\/span><\/mo>N<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u4f4d\u7f6e\uff0c\u5b9e\u9a8c\u7ed3\u679c\u5982\u56fea\u6240\u793a\u3002ER\u7f51\u7edc\u7684\u76f8\u53d8\u70b9\u5bf9\u5e94\u4e8e\u968f\u7740\u8fde\u63a5\u6982\u7387\u589e\u52a0\u51fa\u73b0\u5de8\u8fde\u901a\u96c6\u56e2\u65f6\u7684\u5bf9\u5e94\u6982\u7387\u3002\u56feb\u5c55\u793a\u4e86\u4e0d\u540c\u8282\u70b9\u89c4\u6a21\u4e0b\u968f\u7740\u8fde\u63a5\u6982\u7387 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u589e\u52a0\uff0c\u7f51\u7edcCE\u7684\u53d8\u5316\uff0c\u4e0d\u540c\u8282\u70b9\u89c4\u6a21\u7684\u7f51\u7edc\u7684CE\u7684\u53d8\u5316\u8d8b\u52bf\u76f8\u540c\uff0c\u5148\u589e\u52a0\u540e\u964d\u4f4e\u5230\u96f6\uff0c\u56fe\u4e2d\u56db\u6761\u7ad6\u7ebf\u5bf9\u5e94\u4e8e\u4e0d\u540c\u8282\u70b9\u89c4\u6a21\u7f51\u7edc\u7684\u76f8\u53d8\u70b9\u4f4d\u7f6e\uff08<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><<\/span><\/mo>k<\/span><\/mi>>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\uff0c\u540c\u65f6\u8fd9\u4e9b\u76f8\u53d8\u70b9\u5728CE\u8fbe\u5230\u5cf0\u503c\u4e4b\u540e\uff0c\u8fd9\u610f\u5473\u7740\u80fd\u4ea7\u751f\u56e0\u679c\u6d8c\u73b0\u6700\u663e\u8457\u7684ER\u7f51\u7edc\u662f\u5c1a\u672a\u5f62\u6210\u5de8\u8fde\u901a\u96c6\u56e2\u7684\u7f51\u7edc\uff0c\u8fd9\u4e9b\u7f51\u7edc\u5f80\u5f80\u662f\u4e0d\u8fde\u901a\u7684\u6216\u8005\u53ea\u662f\u5b58\u5728\u4e00\u4e9b\u5c0f\u7684\u8fde\u901a\u7ec4\u6216\u8005\u5b58\u5728\u5c0f\u7684\u6811\u72b6\u7684\u5b50\u56fe\u5206\u7ec4\u7684\u7f51\u7edc\u3002<\/span><\/p>\n


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2\uff09\u5bf9\u4e8ePA\u7f51\u7edc\uff1a\u5f53\u504f\u597d\u53c2\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi><<\/span><\/mo>1.0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\uff0c\u6709\u6548\u4fe1\u606f\u7684\u5927\u5c0f\u968f\u7740\u7f51\u7edc\u89c4\u6a21\u7684\u589e\u52a0\u800c\u589e\u5927\uff1b<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi>><\/span><\/mo>1.0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\uff0c\u7ed3\u8bba\u76f8\u53cd\uff1b <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi>=<\/span><\/mo>1.0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5bf9\u5e94\u7684\u65e0\u6807\u5ea6\u7f51\u7edc\u5219\u662f\u589e\u957f\u7684\u4e34\u754c\u8fb9\u754c\uff0c\u7ed3\u679c\u5982\u56fec\u6240\u793a\u3002\u56fed\u5c55\u793a\u4e86PA\u7f51\u7edc\u968f\u7740\u504f\u597d\u53c2\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u589e\u52a0CE\u7684\u53d8\u5316\u8d8b\u52bf\uff0cCE\u5148\u589e\u52a0\u540e\u51cf\u5c11\uff0cCE\u6700\u7ec8\u4f1a\u6536\u655b\uff0c\u5f53<\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>1<\/span><\/mn><<\/span><\/mo>\u03b1<\/span><\/mi><<\/span><\/mo>3<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u7684\u7f51\u7edc\u7684CE\u80fd\u8fbe\u5230\u5cf0\u503c\u3002\u968f\u7740<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684<\/span>\u589e\u52a0\uff0c\u57fa\u4e8e\u8d2a\u5a6a\u7b97\u6cd5\u8bc6\u522b\u51fa\u6765\u7684EI\u6700\u5927\u7684\u5b8f\u89c2\u7f51\u7edc\u7684\u8282\u70b9\u89c4\u6a21\u4e5f\u4f1a\u8d8a\u6765\u8d8a\u5c0f\uff0c\u53ef\u4ee5\u5206\u4e3a\u5fae\u89c2\u5c3a\u5ea6\uff08<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2212<\/span><\/mo>1<\/span><\/mn><<\/span><\/mo>\u03b1<\/span><\/mi><<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\uff0c\u4ecb\u89c2\u5c3a\u5ea6\uff08<\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>1<\/span><\/mn><<\/span><\/mo>\u03b1<\/span><\/mi><<\/span><\/mo>3<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\u548c\u5b8f\u89c2\u5c3a\u5ea6\uff08<\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>3<\/span><\/mn><<\/span><\/mo>\u03b1<\/span><\/mi><<\/span><\/mo>5<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\uff0c\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5bf9\u5e94\u65e0\u6807\u5ea6\u7f51\u7edc\u3002<\/span><\/section>\n

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3.2 \u771f\u5b9e\u7f51\u7edc<\/span><\/strong><\/span><\/h3>\n

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\u5bf9\u4e8e\u771f\u5b9e\u7f51\u7edc\u6765\u8bf4\uff0c\u751f\u7269\u7f51\u7edc\u56e0\u4e3a\u5177\u6709\u5f88\u5927\u7684\u566a\u58f0\uff0c\u6240\u4ee5\u6709\u6548\u6027<\/span>\uff08<\/sub><\/span>\uff09<\/span>\u6700\u4f4e\uff0c\u800c\u6280\u672f\u7c7b\u578b\u7f51\u7edc\u662f\u66f4\u7a00\u758f\u3001\u975e\u7b80\u5e76\u7684\u7f51\u7edc\uff0c\u56e0\u6b64\uff0c\u5e73\u5747\u6548\u7387\u66f4\u9ad8\uff0c\u8282\u70b9\u5173\u7cfb\u66f4\u52a0\u5177\u4f53\uff0c\u6240\u4ee5\u5176\u6709\u6548\u6027\u4e5f\u6700\u5927\uff0c\u5982\u56fea\u6240\u793a\u3002\u901a\u8fc7\u6709\u6548\u7684\u7c97\u7c92\u5316\u80fd\u53bb\u9664\u7cfb\u7edf\u7684\u566a\u58f0\uff0c\u76f8\u8f83\u4e8e\u6280\u672f\u7c7b\u578b\u7f51\u7edc\uff0c\u751f\u7269\u7f51\u7edc\u56e0\u679c\u6d8c\u73b0\u6700\u663e\u8457\uff0c\u5982\u56feb\u6240\u793a\u3002<\/span><\/section>\n

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4. \u5e94\u7528<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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4.1 \u5728\u5143\u80de\u81ea\u52a8\u673a\u4e0a\u7684\u5e94\u7528<\/span><\/strong><\/span><\/h3>\n


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Varley\u7b49\u4eba[5]\u5c1d\u8bd5\u5c06\u4e0a\u8ff0\u65b9\u6cd5\u5e94\u7528\u5230\u5143\u80de\u81ea\u52a8\u673a\u7cfb\u7edf\u4e2d\uff0c\u5c06\u6bcf\u4e2a\u72b6\u6001\u770b\u6210\u4e00\u4e2a\u8282\u70b9\uff0c\u6bcf\u4e2a\u72b6\u6001\u4f1a\u786e\u5b9a\u7684\u5f97\u5230\u4e0b\u4e00\u4e2a\u72b6\u6001\uff0c\u4ece\u800c\u6784\u6210\u4e00\u6761\u6709\u5411\u8fb9\uff0c\u6700\u7ec8\u53ef\u4ee5\u6784\u5efa\u4e00\u4e2a\u6709\u5411\u7684\u786e\u5b9a\u6027\u7f51\u7edc\u3002\u6587\u4e2d\u9009\u62e9256\u79cd\u4e2d\u768488\u4e2a\u72ec\u7279\u7684\u79bb\u6563\u5143\u80de\u81ea\u52a8\u673a\uff0c\u5206\u4e3a\u56db\u7c7b\uff1a\u9759\u6001\u7684\u3001\u5468\u671f\u6027\u7684\u3001\u6df7\u6c8c\u7684\u548c\u590d\u6742\u7684\uff0c\u6570\u636e\u4e5f\u6a2a\u8de88\u4e2a\u5c3a\u5ea6\uff0c\u4ece5\u4e2a\u5143\u80de(<\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>2<\/span><\/mn><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>5<\/span><\/sup><\/span><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msup>=<\/span><\/mo>32<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2a\u72b6\u6001)\u523012\u4e2a\u5143\u80de(<\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>2<\/span><\/mn><\/mn><\/mrow><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>12<\/span><\/sup><\/span><\/mn><\/mrow><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/mrow><\/msup>=<\/span><\/mo>4096<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2a\u72b6\u6001) \u3002\u5b9e\u9a8c\u53d1\u73b0\u56e0\u679c\u6d8c\u73b0\u6700\u5f3a\u7684\u5143\u80de\u81ea\u52a8\u673a\u89c4\u5219\u5bf9\u5e94\u7684\u7f51\u7edc\u4e2d\u4f1a\u5b58\u5728\u5927\u91cf\u661f\u578b\u6216\u8005\u8f6e\u8f90\u578b\u7684motif\u7ed3\u6784\u3002\u6b64\u5916\uff0c\u8fd8\u5f97\u51fa\u4e0b\u9762\u56db\u4e2a\u7ed3\u8bba\uff1a<\/span><\/p>\n

1. 8<\/span><\/mn>%<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u89c4\u5219\u7684\u72b6\u6001\u56fe\u4f1a\u574d\u584c\u6210\u4e00\u4e2a\u70b9<\/span> (\u5c5e\u4e8e\u4e09\u79cd\u89c4\u5219\u7684\u5143\u80de\u81ea\u52a8\u673a\uff1a\u6df7\u6c8c\u7684\u3001\u9759\u6001\u7684\u6216\u8005\u632f\u8361\u7684\u6a21\u5f0f)<\/span>\uff1b<\/span><\/p>\n

2. 43<\/span><\/mn>%<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u89c4\u5219\u7684\u72b6\u6001\u56fe\u5b58\u5728\u56e0\u679c\u6d8c\u73b0\uff0c <\/span><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>49<\/span><\/mn>%<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u89c4\u5219\u7684\u72b6\u6001\u56fe\u5b58\u5728\u56e0\u679c\u9000\u5316\uff1b<\/span><\/p>\n

3. \u5b58\u572817\u4e2a\u89c4\u5219\u5bf9\u5e94\u7b2c\u4e09\u3001\u7b2c\u56db\u7c7b\u5143\u80de\u81ea\u52a8\u673a\uff0c\u5176\u4e2d<\/span><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>30<\/span><\/mn>%<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5b58\u5728\u56e0<\/span>\u679c\u6d8c\u73b0\uff0c <\/span><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>70<\/span><\/mn>%<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u51fa\u73b0\u56e0\u679c\u9000\u5316\uff1b<\/span><\/p>\n

4. \u76f8\u540c\u89c4\u5219\u7684\u5143\u80de\u81ea\u52a8\u673a\u5728\u4e0d\u540c\u7684\u5c3a\u5bf8\u4e0b\u5f97\u5230\u7684CE\u7ed3\u679c\u5927\u81f4\u76f8\u540c\uff1b<\/span><\/section>\n


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4.2 \u5728\u751f\u7269\u7f51\u7edc\u4e0a\u7684\u5e94\u7528<\/span><\/strong><\/span><\/h3>\n

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\u8fdb\u4e00\u6b65\uff0cKlein \u7b49\u4eba<\/span>\u5c06\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\u65b9\u6cd5\u6269\u5c55\u5230\u4e86\u66f4\u591a\u7684\u751f\u7269\u7f51\u7edc\u4e2d\u3002\u524d\u6587\u5df2\u7ecf\u6307\u51fa\uff0c\u751f\u7269\u7f51\u7edc\u5177\u6709\u66f4\u5927\u7684\u566a\u97f3\uff0c\u8fd9\u4f7f\u5f97\u6211\u4eec\u5f88\u96be\u7406\u89e3\u5176\u5185\u90e8\u7684\u8fd0\u4f5c\u539f\u7406\uff0c\u8fd9\u79cd\u566a\u97f3\u4e00\u65b9\u9762\u6765\u81ea\u7cfb\u7edf\u7684\u56fa\u6709\u566a\u97f3\uff0c\u53e6\u4e00\u65b9\u9762\u662f\u7531\u4e8e\u6d4b\u91cf\u6216\u89c2\u5bdf\u5f15\u5165\u7684\u3002Klein \u7b49[6]\u8fdb\u4e00\u6b65\u63a2\u7d22\u4e86\u751f\u7269\u7f51\u7edc\u4e2d\u7684\u566a\u58f0\u3001\u7b80\u5e76\u6027\u548c\u786e\u5b9a\u6027\u4e09\u8005\u4e4b\u95f4\u7684\u5173\u7cfb\u4ee5\u53ca\u5177\u4f53\u542b\u4e49\uff0c\u5f97\u51fa\u4e86\u4e00\u4e9b\u6709\u8da3\u7684\u7ed3\u8bba\u3002<\/span><\/section>\n

\u4f8b\u5982\uff0c\u57fa\u56e0\u8868\u8fbe\u7f51\u7edc\u4e2d\u7684\u9ad8\u786e\u5b9a\u6027\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u4e2a\u57fa\u56e0\u51e0\u4e4e\u80af\u5b9a\u4f1a\u5bfc\u81f4\u53e6\u4e00\u4e2a\u57fa\u56e0\u7684\u8868\u8fbe\u3002\u540c\u65f6\u751f\u7269\u7cfb\u7edf\u5728\u8fdb\u5316\u8fc7\u7a0b\u4e2d\u4e5f\u666e\u904d\u5b58\u5728\u9ad8\u7b80\u5e76\u6027\u73b0\u8c61\u3002\u8fd9\u4e24\u4e2a\u56e0\u7d20\u5171\u540c\u5bfc\u81f4\uff0c\u76ee\u524d\u4eba\u4eec\u5c1a\u4e0d\u6e05\u695a\u5e94\u8be5\u5728\u4f55\u79cd\u5c3a\u5ea6\u4e0a\u5206\u6790\u751f\u7269\u7cfb\u7edf\u624d\u80fd\u66f4\u597d\u7406\u89e3\u5b83\u4eec\u7684\u529f\u80fd\u3002Klein \u7b49[7]\u5206\u6790\u4e86\u8d85\u8fc7 1800 \u4e2a\u7269\u79cd\u7684\u86cb\u767d\u8d28\u76f8\u4e92\u4f5c\u7528\u7f51\u7edc\uff0c\u53d1\u73b0\u5b8f\u89c2\u5c3a\u5ea6\u7684\u7f51\u7edc\u5177\u6709\u66f4\u5c0f\u7684\u566a\u97f3\u548c\u7b80\u5e76\u6027\uff0c\u540c\u65f6\u4e0e\u4e0d\u53c2\u4e0e\u5b8f\u89c2\u5c3a\u5ea6\u7684\u8282\u70b9\u76f8\u6bd4\uff0c\u7ec4\u6210\u5b8f\u89c2\u5c3a\u5ea6\u7f51\u7edc\u4e2d\u7684\u8282\u70b9\u66f4\u5177\u6709\u5f39\u6027\u3002\u56e0\u6b64\uff0c\u751f\u7269\u7f51\u7edc\u4e3a\u4e86\u9002\u5e94\u8fdb\u5316\u7684\u8981\u6c42\uff0c\u9700\u8981\u6f14\u5316\u51fa\u5b8f\u89c2\u5c3a\u5ea6\u4ee5\u63d0\u9ad8\u786e\u5b9a\u6027\u6765\u589e\u5f3a\u7f51\u7edc\u5f39\u6027\u4ee5\u53ca\u63d0\u9ad8\u4fe1\u606f\u4f20\u8f93<\/span>\u7684\u6709\u6548\u6027\u3002<\/span><\/section>\n

Hoel \u7b49\u5728\u6587<\/span>\u7ae0[8]\u4e2d\u501f\u52a9\u6709\u6548\u4fe1\u606f\u7406\u8bba\u8fdb\u4e00\u6b65\u7814\u7a76\u4e86\u751f\u7269\u7cfb\u7edf\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\u3002\u4f5c\u8005\u5c06\u6709\u6548\u4fe1\u606f\u5e94\u7528\u5230\u57fa\u56e0\u8c03\u63a7\u7f51\u7edc\u4e0a\uff0c\u4ee5\u8bc6\u522b\u6700\u80fd\u63d0\u4f9b\u4fe1\u606f\u7684\u5fc3\u810f\u53d1\u80b2\u6a21\u578b\u4ece\u800c\u63a7\u5236\u54fa\u4e73\u52a8\u7269\u7684\u5fc3\u810f\u53d1\u80b2\u3002\u901a\u8fc7\u91cf\u5316\u917f\u9152\u9175\u6bcd\u57fa\u56e0\u7f51\u7edc\u7684\u6700\u5927\u8fde\u901a\u96c6\u56e2\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\uff0c\u6587\u7ae0\u63ed\u793a\u4e86\u5bcc\u6709\u4fe1\u606f\u7684\u5b8f\u89c2\u5c3a\u5ea6\u5728\u751f\u7269\u5b66\u4e2d\u662f\u666e\u904d\u5b58\u5728\u7684\uff0c\u4ee5\u53ca\u751f\u547d\u673a\u5236\u672c\u8eab\u4e5f\u7ecf\u5e38\u8fd0\u884c\u5728\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\u3002\u8be5\u6587\u7ae0\u4e5f\u4e3a\u751f\u7269\u5b66\u5bb6\u63d0\u4f9b\u4e86\u4e00\u79cd\u53ef\u8ba1\u7b97\u7684\u5de5\u5177\u6765\u8bc6\u522b\u6700\u5177\u6709\u4fe1\u606f\u7684\u5b8f\u89c2\u5c3a\u5ea6\uff0c\u5e76\u4e14\u53ef\u4ee5\u5728\u6b64\u57fa\u7840\u4e0a\u5efa\u6a21\u3001\u9884\u6d4b\u3001\u63a7<\/span>\u5236\u548c\u7406\u89e3\u590d\u6742\u7684\u751f\u7269\u7cfb\u7edf\u3002<\/span><\/section>\n

Swain \u7b49\u5728<\/span>\u6587\u7ae0[9]\u4e2d<\/span>\u63a2\u7d22\u4e86\u8681\u7fa4\u7684\u4ea4\u4e92\u5386\u53f2\u5bf9\u4efb\u52a1\u5206\u914d\u548c\u4efb\u52a1\u5207\u6362\u7684\u5f71\u54cd\uff0c\u5c06\u8681\u7fa4\u7528\u7f51\u7edc\u8fdb\u884c\u5efa\u6a21\uff0c\u4f7f\u7528\u6709\u6548\u4fe1\u606f\u7814\u7a76\u566a\u58f0\u5982\u4f55\u5728\u8682\u8681\u4e4b\u95f4\u4f20\u64ad\u3002\u7ed3\u679c\u53d1\u73b0\uff0c\u8681\u7fa4\u4e4b\u95f4\u5386\u53f2\u4ea4\u4e92\u7a0b\u5ea6\u5f71\u54cd\u4efb\u52a1\u7684\u5206\u914d\uff0c\u5e76\u4e14\u5177\u4f53\u4ea4\u4e92\u4e2d\u8682\u8681\u7fa4\u4f53\u7684\u7c7b\u578b\u51b3\u5b9a\u4e86\u4ea4\u4e92\u4e2d\u7684\u566a\u97f3\u3002\u6b64\u5916\uff0c\u5373\u4f7f\u5f53\u8682\u8681\u5207\u6362\u529f\u80fd\u7fa4\u65f6\uff0c\u8681\u7fa4\u6d8c\u73b0\u51fa\u6765\u7684\u51dd\u805a\u529b\u4e5f\u80fd\u4fdd\u8bc1\u7fa4\u4f53\u7684\u7a33\u5b9a\uff0c\u540c\u65f6\u4e0d\u540c\u529f\u80fd\u8681\u7fa4\u5728\u7ef4\u6301\u8681\u7fa4\u51dd\u805a\u529b\u65b9\u9762\u4e5f\u53d1\u6325\u7740\u4e0d\u540c\u7684\u4f5c\u7528\u3002<\/span><\/section>\n


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\u4ee3\u7801\uff1a<\/span><\/strong><\/p>\n

\u53c2\u8003\uff1ahttps:\/\/github.com\/jkbren\/einet<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/span><\/p>\n

1. Hoel E P, Albantakis L, Tononi G. Quantifying causal emergence shows that macro can beat micro[J]. Proceedings of the National Academy of Sciences, 2013, 110(49): 19790-19795.<\/span><\/section>\n
2. Klein B, Hoel E. The emergence of informative higher scales in complex networks[J]. Complexity, 2020, 20201-12.<\/span><\/section>\n
3. Griebenow R, Klein B, Hoel E. Finding the right scale of a network: efficient identification of causal emergence through spectral clustering[J]. arXiv preprint arXiv:190807565, 2019.<\/span><\/section>\n
4. Xu, J., Wickramarathne, T. L., & Chawla, N. V. Representing higher-order dependencies in networks[J]. Science advances, 2016, 2(5), e1600028.<\/span><\/section>\n
5. Varley, Thomas F. “Causal emergence in discrete and continuous dynamical systems.” arXiv preprint arXiv:2003.13075 (2020).<\/span><\/section>\n
6. Klein B, Swain A, Byrum T, et al. Exploring noise, degeneracy and determinism in biological networks with the einet package[J]. Methods in Ecology and Evolution, 2022, 13(4): 799-804.<\/span><\/section>\n
7. Klein B, Hoel E, Swain A, et al. Evolution and emergence: higher order information structure in protein interactomes across the tree of life[J]. Integrative Biology, 2021, 13(12): 283-294.<\/span><\/section>\n
8. Hoel E, Levin M. Emergence of informative higher scales in biological systems: a computational toolkit for optimal prediction and control[J]. Communicative & Integrative Biology, 2020, 13(1): 108-118.<\/span><\/section>\n
9. Swain A, Williams S D, Di Felice L J, et al. Interactions and information: exploring task allocation in ant colonies using network analysis[J]. Animal Behaviour, 2022, 18969-81.<\/span><\/section>\n


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\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63<\/strong>
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\u8de8\u5c3a\u5ea6\u3001\u8de8\u5c42\u6b21\u7684\u6d8c\u73b0\u662f\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u7684\u5173\u952e\u95ee\u9898\uff0c\u751f\u547d\u8d77\u6e90\u548c\u610f\u8bc6\u8d77\u6e90\u8fd9\u4e24\u5ea7\u4ef0\u4e4b\u5f25\u9ad8\u7684\u5927\u5c71\u662f\u5176\u4ee3\u8868\u3002\u4ece2021\u5e74\u590f\u5929\u81f3\u4eca\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u5df2\u7ecf\u9646\u7eed\u4e3e\u529e\u4e86\u56db\u5b63\u300c\u56e0\u679c\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a\uff0c\u7cfb\u7edf\u68b3\u7406\u4e86\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u7684\u53d1\u5c55\u8109\u7edc\uff0c\u6df1\u5165\u63a2\u8ba8\u4e86\u4fe1\u606f\u6574\u5408\u4e0e\u4fe1\u606f\u5206\u89e3\u7684\u672c\u8d28\uff0c\u5e76\u63a2\u7d22\u4e86\u5728\u751f\u7269\u7f51\u7edc\u3001\u8111\u7f51\u7edc\u3001\u673a\u5668\u5b66\u4e60\u7b49\u8de8\u5b66\u79d1\u9886\u57df\u7684\u5e94\u7528\u3002\u6b64\u6b21\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63<\/a>\u5c06\u8ffd\u8e2a\u56e0\u679c\u6d8c\u73b0\u9886\u57df\u7684\u524d\u6cbf\u8fdb\u5c55\uff0c\u5c55\u793a\u96c6\u667a\u793e\u533a\u6210\u5458\u7684\u539f\u521b\u6027\u5de5\u4f5c\uff0c\u5e0c\u671b\u63a2\u8ba8\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u3001\u590d\u6742\u7cfb\u7edf\u7684\u4f4e\u79e9\u8868\u793a\u7406\u8bba\u3001\u672c\u5f81\u5fae\u89c2\u6001\u7406\u8bba\u4e4b\u95f4\u7684\u76f8\u901a\u4e4b\u5904\uff0c\u5bf9\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u73b0\u8c61\u6709\u66f4\u6df1\u523b\u7684\u7406\u89e3\u3002\u8bfb\u4e66\u4f1a\u5df2\u5b8c\u7ed3\uff0c\u73b0\u5728\u62a5\u540d\u53ef\u52a0\u5165\u793e\u7fa4\u5e76\u89e3\u9501\u56de\u653e\u89c6\u9891\u6743\u9650\u3002<\/span><\/span><\/p>\n


<\/span><\/section>\n
<\/span><\/a><\/section>\n

<\/section>\n
\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/section>\n
\u835f\u8403\u590d\u6742\u7cfb\u7edf\u524d\u6cbf\u8fdb\u5c55\uff0c\u96c6\u7ed3\u56e0\u679c\u6d8c\u73b0\u5b66\u672f\u793e\u533a\uff1a\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63\u542f\u52a8<\/span><\/a>
<\/section>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n

\u201c\u590d\u6742 AI \u6b21\u65b9\u201d\u5f00\u653e\u5b9e\u9a8c\u5ba4\u62db\u52df<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/section>\n

\u4f5c\u4e3a\u5317\u5e08\u5927\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u4e0e\u96c6\u667a\u5b66\u56ed\u521b\u59cb\u4eba\u3001\u96c6\u667a\u79d1\u5b66\u7814\u7a76\u4e2d\u5fc3\u9662\u957f\uff0c\u5f20\u6c5f\u4ece2003\u5e74\u5f00\u59cb\u957f\u671f\u4ece\u4e8b\u6709\u5173\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u7684\u5de5\u4f5c\u3002\u8fd1\u5e74\u6765\uff0c\u5f20\u6c5f\u5e26\u9886\u7740\u5317\u5e08\u5927\u7684\u7814\u7a76\u7ec4\u5f00\u59cb\u805a\u7126\u5728\u57fa\u4e8e\u65b0\u5174AI\u6280\u672f\u8fdb\u884c\u57fa\u4e8e\u6570\u636e\u9a71\u52a8\u7684\u81ea\u52a8\u5efa\u6a21\u7814\u7a76\uff0c\u5e76\u7acb\u5fd7\u7834\u89e3\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u4e4b\u8c1c\u3002\u6211\u4eec\u5e0c\u671b\u53ef\u4ee5\u6709\u5bf9\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u9886\u57df\u6709\u70ed\u60c5\uff0c\u4e14\u8ba4\u53ef\u8fd9\u4e2a\u9886\u57df\u53d1\u5c55\u524d\u666f\u7684\u670b\u53cb\u4e00\u8d77\u6765\u5408\u4f5c\uff0c\u4fc3\u8fdb\u8fd9\u4e00\u9886\u57df\u7684\u5feb\u901f\u53d1\u5c55\u3002<\/span>\u6211\u4eec\u5e0c\u671b\u8fd9\u4e2a\u53eb\u505a\u201c Complexity <\/span>AI<\/sup> \u201d\uff0c\u4e2d\u6587\u53eb\u505a\u201c\u590d\u6742AI\u6b21\u65b9\u201d\u7684\u5f00\u653e\u5b9e\u9a8c\u5ba4\uff0c\u80fd\u591f\u771f\u6b63\u5b9e\u73b0\u601d\u60f3\u5171\u4eab\u3001\u8d44\u6e90\u5171\u4eab\u3001\u8de8\u5b66\u79d1\u4ea4\u53c9\uff0c\u5171\u540c\u4e3a\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u800c\u594b\u8fdb\u3002<\/span><\/p>\n


<\/section>\n
<\/span><\/a><\/section>\n

<\/section>\n

\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span>\u201c\u590d\u6742 AI \u6b21\u65b9\u201d\u5f00\u653e\u5b9e\u9a8c\u5ba4\u62db\u52df\uff0c\u6311\u6218\u201c\u6d8c\u73b0\u201d\u96be\u9898<\/a><\/span><\/p>\n


<\/p>\n


<\/p>\n

\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/p>\n

1. <\/strong>\u56e0\u679c\u6d8c\u73b0\uff1a\u7528\u56e0\u679c\u91cf\u5316\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u6d8c\u73b0\uff5c\u96c6\u667a\u767e\u79d1<\/a><\/strong><\/span><\/section>\n
2. <\/strong>\u673a\u5668\u5b66\u4e60\u6846\u67b6NIS+\uff1a\u901a\u8fc7\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\u8bc6\u522b\u201c\u56e0\u679c\u6d8c\u73b0\u201d\uff5c\u96c6\u667a\u767e\u79d1<\/a><\/strong><\/span><\/section>\n
3. <\/strong>\u5168\u7f51\u6700\u5168\u603b\u7ed3\uff01\u56e0\u679c\u6d8c\u73b0\u6838\u5fc3\u6307\u6807\u201c\u6709\u6548\u4fe1\u606f\u201d\uff5c\u96c6\u667a\u767e\u79d1<\/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
<\/strong>5.<\/strong> \u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/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><\/p>\n


<\/p>\n


<\/p>\n

\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 \u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\u662f\u6307\u5bf9\u4e8e\u4e00\u4e2a\u590d\u6742\u7f51\u7edc\u6765\u8bf4\uff0c\u5728\u5408\u9002\u7684\u7c97\u7c92\u5316\u5904\u7406\u4e4b\u540e\u80fd\u5f97\u5230\u4e00\u4e2a\u5b8f\u89c2\u7684\u7f51\u7edc\uff0c\u8be5\u7f51\u7edc\u80fd\u591f\u6bd4\u539f\u59cb\u7f51\u7edc\u5c55\u73b0\u51fa\u66f4\u5f3a\u7684\u56e0\u679c\u7279\u6027\uff0c\u5373\u6709\u6548\u4fe1\u606f\uff08Effective Information\uff0c\u7b80\u79f0EI\uff09\u66f4\u9ad8\uff0c\u5219\u79f0\u539f\u59cb\u7f51\u7edc\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002\u590d\u6742\u7f51\u7edc\u662f\u4e00\u79cd\u7528\u56fe\u7684\u65b9\u5f0f\u5efa\u6a21\u590d\u6742\u7cfb\u7edf\u7684\u6a21\u578b\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u591a\u79cd\u9886\u57df…<\/p>\n","protected":false},"author":0,"featured_media":54627,"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\/54649"}],"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=54649"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/54649\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/54627"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=54649"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=54649"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=54649"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=54649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}