{"id":35577,"date":"2022-07-02T22:57:05","date_gmt":"2022-07-02T14:57:05","guid":{"rendered":"https:\/\/swarma.org\/?p=35577"},"modified":"2022-07-02T22:57:05","modified_gmt":"2022-07-02T14:57:05","slug":"%e6%97%b6%e6%95%88%e7%bd%91%e7%bb%9c%e5%af%8c%e4%ba%ba%e4%bf%b1%e4%b9%90%e9%83%a8%ef%bc%9a%e6%80%8e%e6%a0%b7%e8%a1%a1%e9%87%8f%e5%8a%a8%e6%80%81%e5%a4%8d%e6%9d%82%e7%bd%91%e7%bb%9c%e6%9e%a2%e7%ba%bd","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=35577","title":{"rendered":"\u65f6\u6548\u7f51\u7edc\u5bcc\u4eba\u4ff1\u4e50\u90e8\uff1a\u600e\u6837\u8861\u91cf\u52a8\u6001\u590d\u6742\u7f51\u7edc\u67a2\u7ebd\u7684\u6f14\u5316\uff1f"},"content":{"rendered":"
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\u6240\u8c13\u5bcc\u4eba\u4ff1\u4e50\u90e8<\/span>\uff08rich club\uff09<\/span>\u662f\u6307\u7f51\u7edc\u4e2d\u5ea6\u503c\u9ad8\u7684\u8282\u70b9\u4e4b\u95f4\u7684\u8fde\u63a5\uff0c\u8fd9\u4e9b\u8282\u70b9\u4e4b\u95f4\u5f80\u5f80\u8868\u73b0\u51fa\u6bd4\u5ea6\u503c\u4f4e\u7684\u8282\u70b9\u8fde\u63a5\u66f4\u52a0\u7d27\u5bc6\u7684\u8d8b\u52bf\uff0c\u6b63\u5982\u73b0\u5b9e\u4e2d\u670b\u53cb\u591a\u7684\u4eba\u5f80\u5f80\u4e5f\u4e0e\u670b\u53cb\u591a\u7684\u4eba\u4ea4\u5f80\u66f4\u7d27\u5bc6\u3002\u901a\u8fc7 k-core \u5206\u89e3\u6216\u8ba1\u7b97\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u7b49\u6210\u719f\u65b9\u6cd5\u90fd\u53ef\u4ee5\u53d1\u73b0\u8fd9\u79cd\u7f51\u7edc\u7ed3\u6784\u3002\u4f46\u662f\uff0c\u73b0\u5b9e\u4e16\u754c\u7684\u5927\u90e8\u5206\u7f51\u7edc\u5f80\u5f80\u662f\u52a8\u6001\u6f14\u53d8\u7684\uff0c\u4ee5\u4e0a\u57fa\u4e8e\u9759\u6001\u7f51\u7edc\u8ba1\u7b97\u7684\u65b9\u6cd5\u65e0\u6cd5\u53d1\u73b0\u7f51\u7edc\u7ed3\u6784\u6f14\u53d8\u7279\u5f81\uff0c\u4ea7\u751f\u7684\u4ec5\u4ec5\u662f\u65f6\u6548\u7f51\u7edc\u7684\u805a\u5408\u8868\u793a\u3002\u56e0\u6b64\u9700\u8981\u5f00\u53d1\u57fa\u4e8e\u65f6\u6548\u7f51\u7edc<\/span>\uff08temporal networks\uff09<\/span>\u7684\u7f51\u7edc\u7ed3\u6784\u5206\u6790\u65b9\u6cd5\u3002<\/span><\/section>\n

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\u53d1\u8868\u4e8e Nature Physics<\/em> \u7684\u8fd9\u7bc7\u6587\u7ae0\uff0c\u5f00\u53d1\u4e86\u4e00\u79cd\u9488\u5bf9\u65f6\u6548\u7f51\u7edc\u7684\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570<\/span>\uff08temporal rich club\uff0cTRC\uff09<\/span>\u8ba1\u7b97\u65b9\u6cd5\u3002\u8fd9\u79cd\u65b9\u6cd5\u8003\u8651\u5230\u4e86\u7f51\u7edc\u7ed3\u6784\u5f62\u6210\u7684\u65f6\u6548\u6027\u548c\u540c\u65f6\u6027\uff0c\u5e76\u80fd\u8ba1\u7b97\u7f51\u7edc\u7ed3\u6784\u5b58\u5728\u7684\u65f6\u95f4\u8de8\u5ea6\u3002\u7ed9\u5b9a\u4e00\u4e2a\u65f6\u6548\u7f51\u7edc\uff0c\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u91cf\u5316\u90a3\u4e9b\u4e0e\u8d8a\u6765\u8d8a\u591a\u7684\u5176\u4ed6\u8282\u70b9\u4e92\u52a8\u7684\u8282\u70b9\u662f\u5426\u503e\u5411\u4e8e\u540c\u65f6\u4ee5\u7a33\u5b9a\u7684\u65b9\u5f0f\u5f7c\u6b64\u4e92\u52a8\u3002<\/strong><\/span><\/section>\n

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\u5982\u56fe1 \u6240\u793a\uff0c\u8003\u8651\u65f6\u95f4\u95f4\u9694 [1,\u2009T]<\/em> \u4e0a\u7684\u79bb\u6563\u65f6\u6548\u7f51\u7edc\uff0c\u8868\u793a\u4e3a\u6bcf\u4e2a\u65f6\u95f4\u6233\u7f51\u7edc\u7684\u4e00\u7cfb\u5217\u77ac\u65f6\u5207\u7247<\/span>\uff08\u56fe1a\uff09<\/span>\uff0c\u5e76\u4e14 [1,\u2009T]<\/em> \u7684\u65f6\u95f4\u5185\u4f1a\u805a\u5408\u4ea7\u751f\u4e00\u4e2a\u9759\u6001\u7f51\u7edc G\u2009=\uff08V,\u2009E\uff09<\/em>\uff0c\u5176\u4e2d\u5305\u542b\u4e00\u7ec4\u8282\u70b9 V <\/em>\u548c\u4e00\u7ec4\u5728\u7279\u5b9a\u65f6\u95f4\u5185\u5f62\u6210\u7684\u65f6\u6548\u8fb9 E<\/em><\/span>\uff08\u56fe1b\uff09<\/span>\u3002\u5176\u4e2d\u5728\u4e24\u4e2a\u8282\u70b9 i <\/em>\u548c j<\/em> \u4e4b\u95f4\u7ed8\u5236\u4e00\u6761\u8fb9\u5982\u679c\u5b83\u4eec\u81f3\u5c11\u6709\u4e00\u4e2a\u5171\u4eab\u7684\u65f6\u6548\u8fb9\uff0c\u5219\u6743\u91cd wij<\/sub> <\/em>\u7531 i <\/em>\u548c j <\/em>\u4e4b\u95f4\u7684\u65f6\u95f4\u8fb9\u7684\u6570\u91cf\u7ed9\u51fa\u3002 G<\/em> \u4e2d\u4e00\u4e2a\u8282\u70b9\u7684\u5ea6\u6570 k<\/em> \u662f\u5b83\u4e0e\u4e4b\u4ea4\u4e92\u81f3\u5c11\u4e00\u6b21\u7684\u4e0d\u540c\u5176\u4ed6\u8282\u70b9\u7684\u6570\u91cf\uff0c\u5b83\u7684\u5f3a\u5ea6 s <\/em>\u662f\u5b83\u53c2\u4e0e\u7684\u65f6\u6548\u8fb9\u7684\u603b\u6570\u3002<\/span><\/section>\n

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M(k, \u0394)<\/em> \u4e0d\u4ec5\u91cf\u5316\u4e86\u9759\u6001\u7f51\u7edc\u5bcc\u4eba\u4ff1\u4e50\u90e8\u6a21\u5f0f\u662f\u5426\u5bf9\u5e94\u4e8e\u67d0\u4e2a\u77ac\u95f4\u5b9e\u9645\u5b58\u5728\u7684\u7ed3\u6784\uff0c\u8fd8\u80fd\u5206\u6790\u8fd9\u79cd\u7ed3\u6784\u7684\u5bc6\u5ea6\u4ee5\u53ca\u7a33\u5b9a\u6027\u5982\u4f55<\/strong>\u3002M(k, \u0394)<\/em> \u968f\u7740 k<\/em> \u7684\u589e\u52a0\u800c\u589e\u52a0\uff0c\u8868\u793a\u5728\u81f3\u5c11\u5728 \u0394<\/em> \u7684\u65f6\u95f4\u5185\uff0c\u8fde\u63a5\u6700\u591a\u7684\u8282\u70b9\u503e\u5411\u4e8e\u4ee5\u540c\u65f6\u7684\u65b9\u5f0f\u8d8a\u6765\u8d8a\u591a\u5730\u76f8\u4e92\u8fde\u63a5\uff0c\u5373\u4f7f\u4e00\u4e2a\u7a33\u5b9a\u7684\u67a2\u7ebd\u5728\u7edf\u8ba1\u4e0a\u503e\u5411\u4e8e\u4fc3\u8fdb\u8fd9\u79cd\u8fde\u63a5\u6027\u3002<\/strong><\/span><\/section>\n

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\u4e8b\u5b9e\u4e0a\uff0cM(k, \u0394) <\/em>\u5173\u6ce8\u7684\u662f\u4e2d\u5fc3\u70b9\u4e4b\u95f4\u7684\u8054\u7cfb\u3002\u6b64\u5916\uff0c\u03f5>k<\/em><\/strong><\/sub> <\/em>\u503c\u7684\u65f6\u95f4\u6f14\u53d8\u8868\u660e\u5b50\u96c6 S<\/em><\/strong>>k<\/em><\/strong><\/sub><\/em><\/em>\u7684\u6700\u9ad8\u540c\u65f6\u8fde\u901a\u6027\u65f6\u523b\uff0c\u4ee5\u53ca\u8fd9\u79cd\u8fde\u901a\u6027\u662f\u7a33\u5b9a\u7684\u8fd8\u662f\u6ce2\u52a8\u7684\u3002<\/strong>\u5728\u56fa\u5b9ak \u503c\u7684\u60c5\u51b5\u4e0b\uff0c\u03f5>k<\/em><\/sub><\/em> <\/em>\u503c\u968f\u65f6\u95f4 t <\/em>\u548c\u6301\u7eed\u65f6\u95f4 \u0394<\/em> \u6539\u53d8\u800c\u6539\u53d8<\/span>\uff08\u56fe1d\uff09<\/span>\uff0c\u8868\u73b0\u51fa\u7a33\u5b9a<\/span>\uff08\u56fe1e\u4e0a\uff09<\/span>\u548c\u6ce2\u52a8<\/span>\uff08\u56fe1e\u4e0b\uff09<\/span>\u7684\u7279\u6027\u3002<\/span><\/section>\n

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\u4ece\u672c\u8d28\u4e0a\u6765\u8bf4\uff0c\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u5b9a\u4e49\u4e3a\u5728\u81f3\u5c11\u4e00\u4e2a\u6301\u7eed\u65f6\u95f4 \u0394 <\/em>\u5185\uff0c\u805a\u5408\u5ea6\u81f3\u5c11\u4e3a k<\/em> \u7684\u8282\u70b9\u4e4b\u95f4\u7a33\u5b9a\u7684\u8fde\u8fb9\u5bc6\u5ea6\u7684\u6700\u5927\u503c\u3002\u56e0\u6b64\uff0c\u8be5\u7cfb\u6570\u8861\u91cf\u4e86\u52a8\u6001\u7f51\u7edc\u7684\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7ed3\u6784\u6570\u91cf\u7684\u591a\u5be1\u4ee5\u53ca\u8fd9\u79cd\u7ed3\u6784\u7684\u6301\u7eed\u6027\u52a8\u6001\u3002<\/span><\/section>\n

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\u4e8c\u3001\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\u6307\u6807\u7684\u5e94\u7528<\/span><\/strong><\/strong><\/p>\n<\/section>\n

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1. \u63ed\u793a\u771f\u6b63\u7684\u67a2\u7ebd\u673a\u573a\u8282\u70b9<\/span><\/strong><\/span><\/section>\n

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\u8bba\u6587\u4f5c\u8005\u9996\u5148\u5c06\u4e0a\u8ff0\u6307\u6807\u5e94\u7528\u4e8e\u63cf\u8ff0\u7f8e\u56fd\u822a\u7a7a\u8fd0\u8f93\u57fa\u7840\u8bbe\u65bd\uff0c\u4e00\u4e2a\u4ece2012\u5e74\u52302020\u5e74\uff0c\u65f6\u95f4\u5206\u8fa8\u7387\u4e3a1\u4e2a\u6708\uff0c\u5171105\u4e2a\u5207\u7247\u7684\u65f6\u6548\u7f51\u7edc\u3002<\/span><\/section>\n

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M(k, \u0394) <\/em>\u5728 k<\/em> ~ 315 \u5de6\u53f3\u8fbe\u5230\u975e\u5e38\u5927\u7684\u6570\u503c<\/span>\uff08\u56fe2a\uff09<\/span>\uff0c\u8fd9\u8868\u660e\u4e00\u4e2a\u7a33\u5b9a\u7684\u3001\u975e\u5e38\u6709\u51dd\u805a\u529b\u7684\u7ed3\u6784\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5728 S>135<\/em><\/sub><\/em> \u7684 31 \u4e2a\u673a\u573a\u4e2d\uff0c\u5927\u90e8\u5206\u90fd\u662f\u7f8e\u56fd\u822a\u7a7a\u8fd0\u8f93\u7cfb\u7edf\u7684\u67a2\u7ebd\uff0c\u8fd9\u4e9b\u673a\u573a\u57fa\u672c\u4e0a\u90fd\u662f\u76f8\u4e92\u8fde\u63a5\u7684\uff0c\u800c\u4e14\u8fde\u63a5\u975e\u5e38\u7a33\u5b9a\u3002<\/span><\/section>\n

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\u4f46\u662f\uff0c\u4e00\u4e9b\u5ea6\u6570\u5927\u4e8e 380 \u7684\u673a\u573a\u6bd4\u5176\u4ed6\u5ea6\u6570\u4e3a 315<k<\/em><380 \u7684\u673a\u573a\u6709\u66f4\u4e0d\u7a33\u5b9a\u7684\u8fde\u63a5\uff0c\u5373\u4f7f\u5b83\u4eec\u7684\u77ac\u65f6\u5ea6\u6570\u4fdd\u6301\u7a33\u5b9a<\/span>\uff08\u56fe2d\uff09<\/span>\u3002\u8fd9\u79cd\u5ea6\u6570\u975e\u5e38\u9ad8\u7684\u673a\u573a\u8282\u70b9\u7684\u53cd\u76f4\u89c9\u884c\u4e3a\uff08\u663e\u793a\u51fa\u6bd4\u5ea6\u6570\u7a0d\u4f4e\u7684\u8282\u70b9\u66f4\u4e0d\u7a33\u5b9a\u7684\u8fde\u63a5\uff0c\u4e5f\u89c1\u4e8e\u56fe1d,e\uff09\uff0c\u662f\u65e0\u6cd5\u4ece\u9759\u6001\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u7684\u7b80\u5355\u589e\u52a0\u884c\u4e3a\u4e2d\u63a8\u5bfc\u51fa\u6765\u7684\uff08\u56fe2c)\u3002<\/strong>\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u8fd9\u79cd\u60c5\u51b5\u5462\uff1f<\/span><\/section>\n

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\u56fe2. \uff08a\uff09\u4e0a\u56fe\uff1a\u603b\u5ea6\u6570\u5927\u4e8e k<\/em> \u7684\u8282\u70b9\u7684\u5b50\u7f51\u7edc\u7684\u5927\u5c0f \u2223S>k<\/em><\/sub><\/em><\/em>\u2223 \u4e0e k<\/em> \u7684\u51fd\u6570\u5173\u7cfb\uff1b\u4e0b\u56fe\uff1a\u5176\u4e2dRandom \u4e3a\u968f\u673a\u7684\u65f6\u6548\u7f51\u7edc\uff0c\u7528\u6765\u4e0e\u822a\u7a7a\u7f51\u7edc\u8fdb\u884c\u5bf9\u6bd4\u3002\uff08b\uff0920\u4e2a\u5ea6\u6700\u5927\u7684\u673a\u573a\u8282\u70b9\u7684\u5730\u7406\u4f4d\u7f6e\uff08S<\/em>>350<\/em><\/sub><\/em>\uff09\u3002\uff08c\uff09\u4e0a\u56fe\uff1a\u8282\u70b9\u5ea6\u6570\u7684\u4e0e\u9759\u6001\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u7684\u5173\u7cfb\uff1b\u4e0b\u56fe\uff1a\u8282\u70b9\u5ea6\u6570\u7684\u4e0e\u52a8\u6001\u6001\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u7684\u5173\u7cfb\u3002\uff08d\uff09\u5965\u9ed1\u5c14\u56fd\u9645\u673a\u573a\uff08ORD\uff0c\u6a59\u8272\u7ebf\uff09\u548c\u5a01\u5f7b\u65af\u7279\u53bf\u673a\u573a\uff08HPN\uff0c\u7d2b\u8272\u7ebf\uff09\u5728\u65f6\u95f4 t<\/em> \u548c t+1<\/em> \u4e4b\u95f4\u7684\u8282\u70b9\u90bb\u57df\u7684\u77ac\u65f6\u5ea6\u3002\u8fd9\u4e24\u4e2a\u673a\u573a\u90fd\u5728\u603b\u5ea6\u6570\u7684\u524d20\u4e2a\u8282\u70b9\u4e2d\uff0c\u4f46 ORD \u6709\u4e00\u4e2a\u7a33\u5b9a\u7684\u90bb\u57df\uff0c\u800c HPN \u7684\u90bb\u57df\u5219\u6ce2\u52a8\u8f83\u5927\u3002<\/span><\/p>\n


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\u56fe2b \u663e\u793a\u4e86\u90a3\u4e9b\u5177\u6709\u6700\u5927\u5ea6\u6570\u768420\u4e2a\u673a\u573a\u8282\u70b9\u3002\u867d\u7136\u8fd9\u4e9b\u7ea2\u8272\u8282\u70b9\u662f\u8457\u540d\u7684\u67a2\u7ebd\uff0c\u4f46\u4e5f\u5305\u62ec\u4f2f\u73ed\u514b-\u597d\u83b1\u575e\u673a\u573a<\/span>\uff08BUR\uff09<\/span>\u6216\u5a01\u5f7b\u65af\u7279\u53bf\u673a\u573a<\/span>\uff08HPN\uff09<\/span>\u7b49\u4f5c\u4e3a\u4f5c\u4e3a\u6d1b\u6749\u77f6<\/span>\uff08LAX\uff09<\/span>\u548c\u7ebd\u7ea6<\/span>\uff08JFK\uff09<\/span>\u7b49\u67a2\u7ebd\u673a\u573a\u7684\u7f13\u89e3\u673a\u573a\u3002\u5b83\u4eec\u5728\u822a\u7a7a\u7f51\u7edc\u4e2d\u7684\u8fde\u63a5\u975e\u5e38\u597d\uff0c\u4f46\u6839\u636e\u76f8\u90bb\u67a2\u7ebd\u7684\u9700\u8981\uff0c\u5b83\u4eec\u7684\u8fde\u63a5\u662f\u6ce2\u52a8\u7684\u3002<\/strong><\/span><\/section>\n

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\u56fe2d \u5f3a\u8c03\u4e86\u4e24\u79cd\u7c7b\u578b\u7684\u8282\u70b9\uff0c\u5373\u201c\u771f\u6b63\u7684\u201d\u67a2\u7ebd\u673a\u573a\u548c\u7f13\u89e3\u673a\u573a\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\u4e00\u65b9\u9762\uff0c\u67a2\u7ebd\u548c\u7f13\u89e3\u8005\u7684\u77ac\u65f6\u5ea6 k(t) <\/em>\u90fd\u6709\u76f8\u5f53\u7a33\u5b9a\u7684\u503c\u3002\u4f46\u53e6\u4e00\u65b9\u9762\uff0cHPN \u673a\u573a\u5c3d\u7ba1\u6709\u6700\u5927\u7684\u5ea6\u503c\uff0c\u4f46\u4ece\u4e00\u4e2a\u6708\u5230\u4e0b\u4e00\u4e2a\u6708\uff0c\u5176\u90bb\u57df\u7684\u53d8\u5316\u9ad8\u8fbe80%<\/span>\uff08\u56fe2d\uff09<\/span>\u3002<\/span><\/section>\n

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\u56e0\u6b64\uff0c\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u53d1\u73b0\u7684\u6a21\u5f0f\u5e76\u4e0d\u80fd\u7b80\u5355\u5730\u4ece\u9759\u6001\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7684\u7cfb\u6570\u4e2d\u63a8\u65ad\u51fa\u6765\uff0c\u4e5f\u4e0d\u80fd\u4ece\u5b83\u4eec\u7684\u77ac\u65f6\u5ea6\u6570\u7684\u6ce2\u52a8\u4e2d\u63a8\u65ad\u51fa\u6765\u3002\u603b\u7684\u6765\u8bf4\uff0c\u5728\u52a8\u6001\u6f14\u5316\u89c6\u89d2\u4e0b\u5bf9\u7f8e\u56fd\u822a\u7a7a\u8fd0\u8f93\u7f51\u7edc\u7684\u5206\u6790\u63ed\u793a\u4e86\u8fde\u63a5\u826f\u597d\u7684\u8282\u70b9\u7684\u4e0d\u540c\u4f5c\u7528\uff0c\u5f3a\u8c03\u4e86\u7f51\u7edc\u7ed3\u6784\u7684\u65f6\u6548\u6027\u3002<\/strong><\/span><\/section>\n

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2. \u63ed\u793a\u793e\u4ea4\u7f51\u7edc\u7ed3\u6784\u53ca\u5176\u4f20\u67d3\u8fc7\u7a0b<\/span><\/strong><\/span><\/section>\n

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\u7b2c\u4e8c\u4e2a\u7f51\u7edc\u662f\u6cd5\u56fd\u4e00\u6240\u5c0f\u5b66\u7684 232 \u540d\u5b66\u751f\u548c 10 \u540d\u6559\u5e08\u4e4b\u95f4\u9762\u5bf9\u9762\u4e92\u52a8\u7684\u65f6\u6548\u7f51\u7edc\u3002\u4e24\u4e2a\u8282\u70b9\u4e4b\u95f4\u7684\u6bcf\u6761\u65f6\u95f4\u8fb9\u90fd\u5bf9\u5e94\u7740\u4e24\u4e2a\u76f8\u5e94\u4e2a\u4f53\u4e4b\u95f4\u7684\u9762\u5bf9\u9762\u4e92\u52a8\uff0c\u7531\u53ef\u7a7f\u6234\u4f20\u611f\u5668\u68c0\u6d4b\u3002\u6570\u636e\u7684\u65f6\u95f4\u5206\u8fa8\u7387\u4e3a20\u79d2\u3002<\/span><\/section>\n

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\u56fe3a \u663e\u793a\uff0c\u7f51\u7edc\u4e2d\u5ea6\u6570\u8f83\u9ad8\u7684\u8282\u70b9\u503e\u5411\u4e8e\u66f4\u7d27\u5bc6\u5730\u76f8\u4e92\u8fde\u63a5\uff0c\u800c\u4e14\u662f\u4ee5\u4e00\u79cd\u66f4\u7a33\u5b9a\u7684\u65b9\u5f0f\uff0c\u62e5\u6709\u66f4\u591a\u7684\u8054\u7cfb\u4eba\u591a\u6837\u6027\u7684\u513f\u7ae5\u5f80\u5f80\u66f4\u591a\u7684\u76f8\u4e92\u8054\u7cfb\uff0c\u5e76\u4e14\u8fd9\u4e9b\u8282\u70b9\u4e4b\u95f4\u7684\u7a33\u5b9a\u7ed3\u6784\u5b9e\u9645\u4e0a\u662f\u4ee5\u4e00\u79cd\u540c\u65f6\u7684\u65b9\u5f0f\u53d1\u751f\u7684\u3002<\/span><\/section>\n

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\u56fe3. \u5c0f\u5b66\u65f6\u95f4\u7f51\u7edc\u3002\uff08a\uff09\u542b\u4e49\u4e0e\u56fe2a \u76f8\u540c\u3002\uff08b\uff09\u4e0a\u56fe\uff1a\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u65f6\u6548\u8fb9\u7684\u6570\u91cf\uff1b\u4e2d\u56fe\uff1a\u03f5<\/em>>87 <\/em><\/sub><\/em>\u76f8\u5bf9\u4e8e t \u548c \u0394 \u70ed\u529b\u56fe\uff1b\u4e0b\u56fe\uff1a\u968f\u673a\u5316\u6570\u636e\u7684\u76f8\u540c\u5185\u805a\u529b\u7684\u989c\u8272\u56fe\u3002\uff08c\uff09\u542b\u4e49\u4e0e\u56fe2c \u76f8\u540c\u3002\uff08d\uff09\u5bf9\u539f\u59cb\u6570\u636e\u96c6\u8ba1\u7b97\u7684\u4f20\u67d3\u9608\u503c\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\u548c\u968f\u673a\u65f6\u6548\u7f51\u7edc\u4e4b\u95f4\u7684\u76f8\u5bf9\u5dee\u5f02\u3002<\/span><\/p>\n


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\u7136\u800c\uff0c\u5728\u77ac\u65f6\u9759\u6001\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570\u4e2d\u770b\u5230\u7684\u8868\u9762\u7a33\u5b9a\u6027\u6a21\u5f0f\u4e0d\u4e00\u5b9a\u5bf9\u5e94\u4e8e\u7f51\u7edc\u7ed3\u6784\u7684\u771f\u6b63\u7a33\u5b9a\u6027\u3002<\/strong>\u56fe3b \u663e\u793a\uff0c\u9ad8\u5ea6\u6570\u8282\u70b9\u4e4b\u95f4\u7684\u8fde\u63a5\u7ed3\u6784\u662f\u90e8\u5206\u5b58\u5728\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\u8fd9\u4e9b\u5b66\u751f\u4e4b\u95f4\u7684\u51dd\u805a\u7ed3\u6784\u53ea\u4ee5\u7a33\u5b9a\u7684\u65b9\u5f0f\u51fa\u73b0\u4e00\u6b21\uff0c\u5373\u5728\u5348\u9910\u65f6\u3002<\/span><\/section>\n

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\u90a3\u4e48\u8fd9\u79cd\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7ed3\u6784\u662f\u5426\u4f1a\u6709\u5229\u4e8e\u4fe1\u606f\u6216\u662f\u4f20\u67d3\u75c5\u7684\u4f20\u64ad\u5462\uff1f<\/strong>\u8bba\u6587\u4f5c\u8005\u4f7f\u7528 SIS \u548cSIR \u4f20\u67d3\u75c5\u6a21\u578b\u3002\u901a\u8fc7\u7ed9\u5b9a\u6062\u590d\u6982\u7387 \u03bd <\/em>\u65f6\u7684\u4f20\u67d3\u9608\u503c\u03bbc<\/span>\uff08 SIS \u548c SIR \u6a21\u578b\u7684\u9608\u503c\u662f\u4e00\u81f4\u768440\uff09<\/span>\u6765\u91cf\u5316\u65f6\u6548\u7f51\u7edc\u548c\u4f20\u64ad\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u5f53\u4e2a\u4f20\u67d3\u6982\u7387\u5927\u4e8e\u9608\u503c\u65f6\uff0c\u4f20\u67d3\u75c5\u5c06\u5728\u6240\u6709\u4e2a\u4f53\u4e2d\u4f20\u64ad\u3002\u901a\u8fc7\u4e0e\u968f\u673a\u65f6\u6548\u7f51\u7edc\u8fdb\u884c\u5bf9\u6bd4\u53d1\u73b0<\/span>\uff08\u56fe3d\uff09<\/span>\uff0c\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7ed3\u6784\u66f4\u6709\u5229\u4e8e\u4f20\u64ad\u8fc7\u7a0b\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e0e\u968f\u673a\u65f6\u6548\u7f51\u7edc\u76f8\u6bd4\uff0c\u8fde\u63a5\u7684\u540c\u65f6\u6027\u66f4\u5f3a\u3002\u56e0\u6b64\uff0cTRC \u5206\u6790\u63ed\u793a\u4e86\u5f71\u54cd\u4f20\u64ad\u52a8\u529b\u5b66\u7684\u7a81\u51fa\u8282\u70b9\u7684\u5185\u805a\u540c\u65f6\u6027\u7ed3\u6784\uff0c\u7c7b\u4f3c\u4e8e\u67a2\u7ebd\u6216\u5176\u4ed6\u7ed3\u6784\u7684\u6ce2\u52a8\u6216\u7a33\u5b9a\u6027\u3002<\/strong><\/span><\/section>\n

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3. \u63ed\u793a\u795e\u7ecf\u5143\u7f51\u7edc\u4e0d\u540c\u7684\u65f6\u95f4\u6a21\u5f0f<\/span><\/strong><\/span>
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<\/section>\n
\u4f5c\u8005\u6700\u540e\u7814\u7a76\u4e86\u9ebb\u9189\u5927\u9f20\u7684\u5185\u76ae\u5c42\u548c\u6d77\u9a6c\u4e2d N<\/em>=67 \u4e2a\u795e\u7ecf\u5143\u7684\u65f6\u95f4\u5206\u8fa8\u529f\u80fd\u8fde\u63a5\u7684\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u6a21\u5f0f\u3002\u8282\u70b9\u4ee3\u8868\u795e\u7ecf\u5143\uff0c\u65f6\u6548\u8fb9\u5bf9\u5e94\u4e8e10 \u79d2\u4e2d\u6210\u5bf9\u795e\u7ecf\u5143\u653e\u7535\u6a21\u5f0f\u4e4b\u95f4\u7684\u4fe1\u606f\u4ea4\u6d41<\/span>\uff08\u56fe4a\uff09<\/span>\u3002\u8fde\u7eed\u7684\u65f6\u95f4\u7a97\u53e3\u79fb\u4f4d1 \u79d2\uff0c\u5c31\u662f\u7f51\u7edc\u7684\u65f6\u95f4\u5206\u8fa8\u7387\uff0c\u6301\u7eed\u4e862284\u79d2\u3002<\/span><\/section>\n

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\u56fe 4. \u4fe1\u606f\u4ea4\u6d41\u795e\u7ecf\u5143\u7684\u65f6\u6548\u7f51\u7edc\u3002\uff08a\uff09\u8111\u533a\u7b80\u56fe\u3002\uff08b\uff09\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570 M(k, \u0394) <\/em>\u968f k<\/em> \u548c \u0394 <\/em>\u7684\u53d8\u5316\u800c\u53d8\u5316\u3002\uff08c\uff09\u65f6\u6548\u7f51\u7edc\u76f8\u4f3c\u6027\u77e9\u9635\uff0c\u662f\u7531\u65f6\u6548\u7f51\u7edc\u7684\u77ac\u65f6\u5207\u7247\u4e4b\u95f4\u7684\u76f8\u4f3c\u6027\u7ed9\u51fa\u3002\u5bf9\u89d2\u7ebf\u5468\u56f4\u7684\u7ea2\u8272\u5757\u8868\u793a\u7f51\u7edc\u4e0e\u81ea\u8eab\u4fdd\u6301\u76f8\u4f3c\u7684\u65f6\u671f\uff0c\u4e5f\u5c31\u662f\u7f51\u7edc\u7684\u201c\u72b6\u6001\u201d\u3002\u8fd9\u4e9b\u72b6\u6001\u7684\u65f6\u95f4\u7ebf\u5728\u77e9\u9635\u4e0b\u65b9\u663e\u793a\u4e3a\u5f69\u8272\u6761\u7801\uff08\u6bcf\u79cd\u989c\u8272\u4ee3\u8868\u4e0d\u540c\u7684\u72b6\u6001\uff09\u3002\uff08d\uff09\u5bf9\u4e8e\u4e09\u4e2a\u4e0d\u540c\u7684\u72b6\u6001\uff08\u72b6\u60011\u30013\u548c5\uff09\uff0c\u5ea6\u5927\u4e8ek\u7684\u8282\u70b9\u7684\u5b50\u7f51\u7edc\u7684\u5927\u5c0f \u2223S>k<\/em><\/sub><\/em>\u2223 \u548c M(k, \u0394) \u7684\u5173\u7cfb\u70ed\u529b\u56fe\u3002<\/span><\/p>\n


<\/section>\n
\u8003\u8651\u5230\u65f6\u95f4\u6027\uff0c\u5c31\u4f1a\u53d1\u73b0\u4e00\u4e2a\u66f4\u6709\u8da3\u7684\u60c5\u51b5\u3002\u56fe4b\u663e\u793a\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u6301\u7eed\u65f6\u95f4 \u0394<\/em>\uff0c\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u7cfb\u6570 M(k, \u0394) <\/em>\u968f\u7740 k <\/em>\u7684\u589e\u52a0\u800c\u589e\u52a0\uff0c\u5e76\u4e14 k <\/em>\u589e\u52a0\u7684\u8282\u70b9\u7ec4\u5728\u8d8a\u6765\u8d8a\u957f\u7684\u65f6\u95f4\u5185\u540c\u65f6\u76f8\u4e92\u8fde\u63a5\u3002\u5ea6\u6570\u6700\u5927\u7684 8 \u4e2a\u795e\u7ecf\u5143\u7ec4\u4ee5\u540c\u65f6\u548c\u7a33\u5b9a\u7684\u65b9\u5f0f\u975e\u5e38\u5f3a\u70c8\u5730\u76f8\u4e92\u8fde\u63a5\uff08M(k, \u0394)\u22650.5\uff09\u76f4\u5230\u0394=150\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u9759\u6001\u805a\u96c6\u56fe\u4e2d\u770b\u5230\u7684\u8fd98\u4e2a\u795e\u7ecf\u5143\u7684\u5b8c\u5168\u8fde\u63a5\u94fe\u63a5\u7ed3\u6784\u786e\u5b9e\u5728\u67d0\u4e2a\u65f6\u95f4\u4ee5\u540c\u65f6\u7684\u65b9\u5f0f\u53d1\u751f\u3002<\/span><\/section>\n

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\u5bf9\u5e94\u4e8e\u6574\u4e2a\u65f6\u6548\u7f51\u7edc\u4e0a\u8ba1\u7b97\u7684\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\uff0c\u795e\u7ecf\u5143\u529f\u80fd\u8fde\u63a5\u7ecf\u5386\u4e86\u51e0\u4e2a\u201c\u72b6\u6001\u201d<\/strong>\u3002\u8fd9\u4e9b\u72b6\u6001\u7531\u7f51\u7edc\u76f8\u4f3c\u6027\u77e9\u9635\u7684\u5206\u5c42\u805a\u7c7b\u786e\u5b9a<\/span>\uff08\u56fe4c\uff09<\/span>\u3002\u201c\u72b6\u6001\u201d\u662f\u6307\u76f8\u4f3c\u5ea6\u503c\u8f83\u5927\u7684\u65f6\u671f<\/span>\uff08\u56fe 4c \u4e2d\u6cbf\u5bf9\u89d2\u7ebf\u7684\u7ea2\u8272\u5757\uff0c\u4e0b\u9762\u662f\u8fde\u7eed\u72b6\u6001\u7684\u65f6\u95f4\u8f74\uff09<\/span>\u3002\u5373\u4f7f\u65f6\u6548<\/span>\u5bcc\u4eba\u4ff1\u4e50\u90e8\u5206\u6790\u672c\u8eab\u5e76\u4e0d\u80fd\u63ed\u793a\u4e0d\u540c\u7f51\u7edc\u72b6\u6001\u7684\u786e\u5207\u542b\u4e49\uff0c\u4f46\u5176\u7ed3\u679c\u81f3\u5c11\u8868\u660e\uff0c\u795e\u7ecf\u5143\u7f51\u7edc\u4e2d\u5b58\u5728\u4e00\u4e2a\u7a33\u5b9a\u671f\uff0c\u5e76\u4e14\u5728\u7279\u5b9a\u7684\u65f6\u95f4\u6bb5\u5177\u6709\u660e\u663e\u7684\u52a8\u6001\u3002\u8fd9\u79cd\u72b6\u6001\u7684\u53d1\u73b0\uff0c\u4e0d\u4ec5\u4ec5\u6709\u52a9\u4e8e\u8bc6\u522b\u795e\u7ecf\u4fe1\u606f\u5904\u7406\u7684\u5173\u952e\u8fc7\u7a0b\uff0c\u5982\u7a81\u89e6\u53ef\u5851\u6027\uff0c\u8fd8\u80fd\u786e\u5b9a\u53d7\u5230\u795e\u7ecf\u5143\u76f8\u4e92\u4f5c\u7528\u65f6\u95f4\u7684\u5173\u952e\u5f71\u54cd\u3002<\/span><\/section>\n

<\/section>\n
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\u56e0\u6b64\uff0c\u65f6\u6548\u5bcc\u4eba\u4ff1\u4e50\u90e8\u6307\u6807\u80fd\u591f\u52a0\u5165\u7f51\u7edc\u795e\u7ecf\u79d1\u5b66\u7684\u5de5\u5177\u7bb1\uff0c\u7528\u4e8e\u7814\u7a76\u52a8\u6001\u529f\u80fd\u8fde\u63a5\u6a21\u5f0f\u3002\u603b\u4e4b\uff0c\u8fd9\u9879\u5de5\u4f5c\u63d0\u4f9b\u4e86\u4e00\u4e2a\u65b0\u7684\u7a0b\u5e8f\u6765\u68c0\u6d4b\u65f6\u6548\u7f51\u7edc\u4e2d\u7684\u76f8\u5173\u65f6\u95f4\u548c\u7ed3\u6784\u6a21\u5f0f\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u4ece\u4e00\u4e2a\u65b0\u7684\u5b9a\u91cf\u89d2\u5ea6\u6765\u770b\u5f85\u6765\u81ea\u975e\u5e38\u4e0d\u540c\u9886\u57df\u7684\u6570\u636e\u96c6\u7684\u65f6\u95f4\u6a21\u5f0f\u3002<\/strong><\/span><\/section>\n

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\u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a\u542f\u52a8<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u96c6\u667a\u4ff1\u4e50\u90e8\u8bfb\u4e66\u4f1a\u662f\u9762\u5411\u5e7f\u5927\u79d1\u7814\u5de5\u4f5c\u8005\u7684\u7cfb\u5217\u8bba\u6587\u7814\u8bfb\u6d3b\u52a8\uff0c\u5176\u76ee\u7684\u662f\u5171\u540c\u6df1\u5165\u5b66\u4e60\u63a2\u8ba8\u67d0\u4e2a\u79d1\u5b66\u8bae\u9898\uff0c\u6fc0\u53d1\u79d1\u7814\u7075\u611f\uff0c\u4fc3\u8fdb\u79d1\u7814\u5408\u4f5c\u3002\u3010\u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a<\/a>\u3011\u7531\u7535\u5b50\u79d1\u6280\u5927\u5b66\u5415\u7433\u5a9b\u8001\u5e08\u3001\u4efb\u6653\u9f99\u8001\u5e08\u53ca\u4e2d\u56fd\u5730\u8d28\u5927\u5b66\uff08\u5317\u4eac\uff09\u7ba1\u9752\u8001\u5e08\u8054\u5408\u53d1\u8d77\uff0c\u7b2c\u4e00\u671f\u5206\u4eab\u4ece 6\u6708 28\u65e5\uff08\u5468\u4e8c\uff0920:00 \u5f00\u59cb\uff0c\u540e\u7eed\u6bcf\u5468\u5206\u4eab\u65f6\u95f4\u4e3a\u6bcf\u5468\u56db 19:00-21:00 \u8fdb\u884c\uff0c\u9884\u8ba1\u6301\u7eed 10-12 \u5468\u3002\u8fd9\u5176\u95f4\uff0c\u6211\u4eec\u5c06\u56f4\u7ed5\u9ad8\u9636\u4ea4\u4e92\u7f51\u7edc\u7684\u57fa\u672c\u6982\u5ff5\u3001\u6a21\u578b\u3001\u65b9\u6cd5\u4e0e\u5e94\u7528\u7b49\u7814\u7a76\u8fdb\u884c\u7814\u8ba8\uff0c\u672c\u6b21\u8bfb\u4e66\u4f1a\u5206\u4eab\u4f1a\u6309\u7167\u300c\u57fa\u7840\u7406\u8bba\u300d+\u300c\u6df1\u5165\u7406\u8bba\u300d+\u300c\u6848\u4f8b\u7814\u8ba8\u300d\u7684\u6a21\u5f0f\u5c55\u5f00\u3002<\/span><\/p>\n


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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/p>\n

\u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u9ad8\u9636\u4ea4\u4e92\u7684\u5965\u79d8 | \u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a\u542f\u52a8<\/strong><\/a><\/p>\n


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