{"id":8090,"date":"2017-01-04T01:00:00","date_gmt":"2017-01-03T17:00:00","guid":{"rendered":"http:\/\/swarma.org\/%swarma-paper%\/"},"modified":"2018-12-06T08:25:28","modified_gmt":"2018-12-06T00:25:28","slug":"%e4%b8%80%e7%a7%8d%e9%9d%a2%e5%90%91%e5%85%b3%e7%b3%bb%e7%9a%84%e7%89%a9%e7%90%86%e5%ad%a6%ef%bc%9a%e4%bb%8e%e7%a4%be%e4%ba%a4%e7%bd%91%e7%bb%9c%e5%88%b0%e9%87%8f%e5%ad%90%e7%ba%a0%e7%bc%a0","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=8090","title":{"rendered":"\u4e00\u79cd\u9762\u5411\u5173\u7cfb\u7684\u7269\u7406\u5b66\uff1a\u4ece\u793e\u4ea4\u7f51\u7edc\u5230\u91cf\u5b50\u7ea0\u7f20 | \u539f\u521b\u7cbe\u9009"},"content":{"rendered":"
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\"\u96c6\u667a\"
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\u5f20\u6c5f<\/span><\/strong><\/span><\/p>\n

\u96c6\u667a\u4ff1\u4e50\u90e8\u8f6e\u503c\u4e3b\u5e2d\u3001\u96c6\u667a\u79d1\u5b66\u5bb6\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u526f\u6559\u6388\u3002\u4e3b\u8981\u8bb2\u6388\u8bfe\u7a0b\uff1a\u4eba\u5de5\u667a\u80fd\u3001\u590d\u6742\u6027\u601d\u7ef4\u3001\u8ba1\u7b97\u673a\u5efa\u6a21\u4e0e\u6a21\u62df\u3001Matlab\u57fa\u7840\u53ca\u5176\u5e94\u7528\u3002\u4e3b\u8981\u4ece\u4e8b\u7684\u7814\u7a76\u9886\u57df\u5305\u62ec\uff1a\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u3001\u5927\u6570\u636e\u5206\u6790\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u7b49\u3002\u66fe\u5e26\u9886\u96c6\u667a\u4ff1\u4e50\u90e8\u5199\u4f5c\u3001\u51fa\u7248\u4e66\u7c4d\uff1a\u300a\u79d1\u5b66\u7684\u6781\u81f4\u2014\u2014\u6f2b\u8c08\u4eba\u5de5\u667a\u80fd\u300b\uff0c\u300a\u8d70\u8fd12050\u2014\u2014\u6ce8\u610f\u529b\u3001\u4e92\u8054\u7f51\u4e0e\u4eba\u5de5\u667a\u80fd\u300b\u3002<\/span><\/p>\n<\/blockquote>\n


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\u5bfc\u8bed
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\u6211\u4eec\u7684\u793e\u4ea4\u5708\u5b50\u5c31\u662f\u4e00\u5f20\u65e0\u7a77\u65e0\u5c3d\u7684\u5927\u7f51\uff0c\u800c\u6bcf\u4e2a\u4eba\u5c31\u50cf\u843d\u5165\u7684\u98de\u866b\uff0c\u65e0\u6cd5\u770b\u5230\u6574\u5f20\u7f51\u7edc\u7684\u5168\u8c8c\u3002<\/span><\/strong><\/p>\n

\u771f\u5b9e\u7684\u793e\u4ea4\u7f51\u7edc\u662f\u4ec0\u4e48\u6837\u5b50\u7684\uff1f\u8d77\u521d\u4eba\u4eec\u731c\u60f3\uff0c\u90a3\u5e94\u8be5\u5f88\u50cf\u4e00\u4e2a\u89c4\u5219\u7684\u7f51\u683c\uff0c\u5982\u56fe<\/span>1\u6240\u793a\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe1 \u89c4\u5219\u7f51\u7edc\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u53ea\u4e0e\u5b83\u7684\u6b27\u6c0f\u8ddd\u79bb\u6700\u8fd1\u7684\u8282\u70b9\u76f8\u8fde<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u8fd9\u79cd\u601d\u8003\u4e0d\u65e0\u9053\u7406\uff0c\u7531\u4e8e\u6211\u4eec\u7684\u57ce\u5e02\u5c31\u597d\u50cf\u4e00\u5f20\u89c4\u5219\u7684\u51e0\u4f55\u5e73\u9762\uff0c\u800c\u6bcf\u4e2a\u4eba\u90fd\u751f\u6d3b\u5728\u51e0\u4e4e\u7b49\u5927\u5c0f\u7684\u683c\u70b9\u4e4b\u4e2d\uff08\u5982\u56fe<\/span>2\u6240\u793a\uff09\uff0c\u4e8e\u662f\u5982\u679c\u4eba\u548c\u4eba\u4e4b\u95f4\u7684\u793e\u4ea4\u5173\u7cfb\u90fd\u4ec5\u4ec5\u9650\u4e8e\u90bb\u91cc\u4e4b\u95f4\u7684\u8bdd\uff0c\u90a3\u4e48\u89c4\u5219\u7f51\u683c\u5c31\u6210\u4e3a\u4e86\u5fc5\u7136\u7ed3\u679c\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe2 \u89c4\u5219\u7684\u57ce\u5e02\uff0c\u6bcf\u4e2a\u4eba\u90fd\u751f\u6d3b\u5728\u89c4\u5219\u7684\u683c\u5b50\u4e2d<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u7136\u800c\uff0c\u6211\u4eec\u5f88\u5bb9\u6613\u77e5\u9053\u771f\u5b9e\u60c5\u51b5\u4e00\u5b9a\u4e0d\u662f\u8fd9\u6837\u5b50\u7684\u3002\u539f\u56e0\u662f\uff0c\u6ca1\u6709\u54ea\u4e2a\u4eba\u613f\u610f\u6210\u5929\u5b85\u5728\u5bb6\u91cc\uff0c\u4e8e\u662f\u4eba\u4eec\u53d1\u660e\u4e86\u57ce\u5e02\u9053\u8def\u6765\u6c9f\u901a\uff0c\u8fd9\u6837\u771f\u5b9e\u7684\u57ce\u5e02\u9664\u4e86\u4e00\u4e9b\u89c4\u5219\u7684\u793e\u533a\u4e4b\u5916\uff0c\u8fd8\u5b58\u5728\u7740\u7c7b\u4f3c\u4e8e\u8840\u7ba1\u7f51\u7edc\u4e00\u6837\u7684\u8857\u9053\uff0c\u5982\u56fe<\/span>3\u6240\u793a\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe3  \u5df4\u9ece\u57ce\u5e02\u4e0a\u7a7a\u7684\u591c\u5149\u56fe<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u8fd9\u4e9b\u8840\u7ba1\u4e0d\u4ec5\u5c06\u57ce\u5e02\u652f\u79bb\u7834\u788e\u6210\u4e00\u4e2a\u4e2a\u4e0d\u89c4\u5219\u7684\u5c0f\u533a\u57df\uff0c\u800c\u4e14\u8fd8\u6210\u4e3a\u4e86\u6c9f\u901a\u4e24\u4e2a\u4e0d\u540c\u5c0f\u533a\u4e4b\u95f4\u7684\u8d85\u7ea7<\/span>\u201c\u866b\u6d1e\u201d\uff08\u6216\u79f0\u4f20\u9001\u95e8Portal\uff09\u2014\u2014\u8fd9\u662f\u56e0\u4e3a\uff0c\u4eba\u4eec\u53ef\u4ee5\u901a\u8fc7\u73b0\u4ee3\u5316\u7684\u4ea4\u901a\u5de5\u5177\u5feb\u901f\u5730\u5230\u8fbe\u57ce\u5e02\u7684\u8fdc\u65b9\u3002\u4e8e\u662f\uff0c\u6211\u4eec\u731c\u6d4b\uff0c\u793e\u4ea4\u7f51\u7edc\u4e5f\u4f1a\u968f\u7740\u201c\u866b\u6d1e\u201d\u7684\u51fa\u73b0\u800c\u53d8\u5f62\uff1a\u6211\u4eec\u6709\u5927\u91cf\u7684\u90bb\u5c45\u670b\u53cb\u4eec\uff0c\u4f46\u540c\u65f6\u8fd8\u4fdd\u6301\u7740\u4e00\u4e9b\u9065\u8fdc\u4e16\u754c\u7684\u670b\u53cb\uff0c\u8fd9\u6837\u7f51\u7edc\u4e2d\u4f1a\u51fa\u73b0\u4e00\u4e9b\u957f\u7a0b\u94fe\u63a5\uff08\u5982\u56fe4\u6240\u793a\uff09\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe4 \u731c\u6d4b\u7684\u793e\u4ea4\u7f51\u7edc<\/span>
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\u8fd9\u79cd\u957f\u7a0b\u8054\u7cfb\u53ef\u4ee5\u4f7f\u5f97\u7f51\u7edc\u7684\u5e73\u5747\u8ddd\u79bb\u5927\u5927\u7f29\u77ed\uff0c\u4e8e\u662f\u6211\u4eec\u901a\u8fc7\u5c06\u8fd1\u516d\u6b65\u8df3\u8dc3\u5c31\u53ef\u4ee5\u901a\u8fbe\u6574\u4e2a\u7f51\u7edc\uff0c\u8fd9\u5c31\u662f\u6240\u8c13\u7684\u516d\u5ea6\u5206\u79bb\u73b0\u8c61\u3002\u800c\u4f5c\u4e3a\u80cc\u666f\u7684\u7f51\u683c\u5219\u4f7f\u5f97\u793e\u4ea4\u5173\u7cfb\u5177\u6709\u9ad8\u5ea6\u7684\u96c6\u805a\u6027\uff0c\u4e5f\u5c31\u662f\u8bf4\u4f60\u7684\u670b\u53cb\u4eec\u5f7c\u6b64\u76f8\u8fde\u7684\u6982\u7387\u4f9d\u7136\u5f88\u5927\u3002\u79d1\u5b66\u5bb6\u4eec\u5c06\u8fd9\u7c7b\u5e73\u5747\u8ddd\u79bb\u5f88\u77ed\u3001\u96c6\u805a\u6027\u5f88\u9ad8\u7684\u7f51\u7edc\u79f0\u4e3a\u5c0f\u4e16\u754c\u7f51\u7edc\u3002<\/strong><\/span><\/p>\n

\u5927\u91cf\u7d27\u5bc6\u76f8\u8fde\u7684\u5c40\u90e8\u94fe\u63a5\u914d\u4e0a\u5c11\u6570\u957f\u7a0b\u7684<\/span>\u201c\u866b\u6d1e\u201d\u4f7f\u5f97\u6574\u4e2a\u7f51\u7edc\u5904\u4e8e\u4e00\u79cd\u7275\u4e00\u53d1\u800c\u52a8\u5168\u8eab\u7684\u4e34\u754c\u72b6\u6001\u3002\u7269\u7406\u4e0a\uff0c\u8fd9\u4e9b\u5904\u4e8e\u4e34\u754c\u6001\u7684\u7cfb\u7edf\u901a\u5e38\u5177\u6709\u6807\u5ea6\u5bf9\u79f0\u6027\u3002<\/span><\/p>\n

<\/span>\"\u96c6\u667a\"
<\/span><\/p>\n

\u56fe5  \u4e92\u8054\u7f51\uff1a\u8282\u70b9\u4e3a\u8def\u7531\u5668\uff0c\u8fde\u7ebf\u4e3a\u7269\u7406\u94fe\u63a5<\/span>
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\u5982\u56fe\u6240\u793a\uff0c\u5f53\u6211\u4eec\u7528\u653e\u5927\u955c\u53bb\u770b\u8fd9\u4e2a\u590d\u6742\u7f51\u7edc\u7684\u65f6\u5019\uff0c\u4f1a\u53d1\u73b0\u5b83\u4eff\u4f5b\u662f\u4e00\u5ea7\u5927\u578b\u7684\u5206\u5f62\u57ce\u5e02\uff0c\u6709\u4e2d\u5fc3\uff0c\u6709\u793e\u533a\uff0c\u4e5f\u6709\u5c0f\u9547\u548c\u6751\u5e84\u3002\u5f53\u6211\u4eec\u628a\u653e\u5927\u955c\u7684\u6bd4\u4f8b\u4e0d\u65ad\u63d0\u5347\uff0c\u5c31\u4f1a\u53d1\u73b0\u5927\u5927\u5c0f\u5c0f\u7684\u56e2\u7c07\u8dc3\u7136\u7eb8\u4e0a\uff0c\u66f4\u91cd\u8981\u7684\u662f\uff0c\u5b83\u4eec\u90fd\u662f\u5f7c\u6b64\u76f8\u4f3c\u7684\u3002<\/span>\u5728\u5b9a\u91cf\u4e0a\uff0c\u8fd9\u79cd\u81ea\u76f8\u4f3c\u6027\u5c31\u4f53\u73b0\u4e3a\u4e00\u7cfb\u5217\u7684\u5e42\u5f8b\u5173\u7cfb\u548c\u5e42\u5f8b\u5206\u5e03\uff0c\u8457\u540d\u7684\u7f51\u7edc\u79d1\u5b66\u5bb6\u5df4\u62c9\u5df4\u5e0c\uff08<\/span>Albert Barabasi\uff09\u5c06\u8fd9\u79cd\u5904\u4e8e\u4e34\u754c\u6001\u7684\u7f51\u7edc\u79f0\u4e3a\u65e0\u6807\u5ea6\u7f51\u7edc\u3002<\/strong><\/span><\/p>\n


<\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u590d\u6742\u7f51\u7edc\u7684\u53cc\u66f2\u51e0\u4f55<\/strong><\/section>\n<\/section>\n


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\u90a3\u4e48\uff0c\u6211\u4eec\u662f\u5426\u53ef\u80fd\u8bbe\u8ba1\u4e00\u4e2a\u6a21\u578b\u6765\u590d\u73b0\u51fa\u540c\u65f6\u5177\u5907\u5c0f\u4e16\u754c\u548c\u65e0\u6807\u5ea6\u7279\u6027\u7684\u7f51\u7edc\u5462\uff1f<\/span><\/p>\n

\u8ba9\u6211\u4eec\u4ecd\u7136\u4ece\u57ce\u5e02\u7684\u7c7b\u6bd4\u4e2d\u5bfb\u627e\u7075\u611f\u3002\u6211\u4eec\u90fd\u77e5\u9053\uff0c\u57ce\u5e02\u65e0\u975e\u5c31\u662f\u5927\u91cf\u4eba\u53e3\u7684\u805a\u96c6\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u4eba\u53e3\u5e76\u4e0d\u5747\u5300\u5730\u5206\u5e03\u5728\u57ce\u5e02\u533a\u57df\u4e4b\u4e2d\uff0c\u800c\u901a\u5e38\u4f1a\u5f62\u6210\u4e2d\u5fc3\u5bc6\u96c6\u3001\u5916\u56f4\u7a00\u758f\u7684\u5206\u5e03\u5f62\u6001\u3002\u5047\u5982\u6211\u4eec\u786c\u8981\u5c06\u57ce\u5e02\u7684\u5f62\u6001\u7ed8\u5236\u6210\u7b49\u5bc6\u5ea6\u5206\u5e03\uff0c\u90a3\u4e48\u57ce\u5e02\u5c31\u4f1a\u53d1\u751f\u4e00\u5b9a\u7684\u626d\u66f2\u53d8\u5f62\uff1a\u4e2d\u5fc3\u533a\u57df\u4f1a\u81a8\u80c0\u5f97\u5f88\u5927\uff0c\u800c\u5916\u56f4\u533a\u57df\u5219\u4f1a\u88ab\u6324\u538b\u53d8\u5f97\u5f88\u5c0f\u3002\u8fd9\u5728\u5730\u7406\u5b66\u4e2d\u5c31\u53eb\u505a\u7b49\u4eba\u53e3\u5bc6\u5ea6\u56fe\uff08<\/span>Cartogram map\uff09\uff0c\u5982\u56fe6\u6240\u793a\u3002<\/span><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe6 \u4f26\u6566\u539f\u56fe\uff08\u5de6\uff09\u4e0e\u5b83\u7684\u7b49\u5bc6\u5ea6\u56fe\uff08\u53f3\uff09\uff0c\u56fe\u4e2d\u7ea2\u8272\u5706\u5708\u5708\u8d77\u6765\u7684\u533a\u57df\u5c31\u662f\u5927\u4f26\u6566\u533a<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u5b83\u57fa\u672c\u4e0a\u662f\u4e00\u4e2a\u5bf9\u79f0\u7684\u5706\u5f62\u533a\u57df\uff0c\u5e76\u5448\u73b0\u4e86\u4e2d\u5fc3\u4eba\u53e3\u5bc6\u96c6\uff0c\u5916\u56f4\u7a00\u758f\u7684\u7279\u6027\u3002\u5c06\u5927\u4f26\u6566\u533a\u7684\u7b49\u4eba\u53e3\u5bc6\u5ea6\u56fe\u5c55\u73b0\u51fa\u6765\u5c31\u4eff\u4f5b\u662f\u4e00\u4e2a\u53cc\u66f2\u7a7a\u95f4\u7684\u5e9e\u52a0\u83b1\u5706\u76d8\u6a21\u578b\u3002<\/span><\/p>\n

\u53ef\u4ee5\u60f3\u8c61\uff0c\u8fd9\u79cd\u626d\u66f2\u5176\u5b9e\u5f88\u6709\u9053\u7406\u3002\u56e0\u4e3a\u57ce\u5e02\u4e2d\u5fc3\u901a\u5e38\u975e\u5e38\u62e5\u6324\uff0c\u5b83\u4eec\u6d88\u8017\u4e86\u5927\u91cf\u7684\u901a\u52e4\u65f6\u95f4\uff1b\u800c\u53e6\u4e00\u65b9\u9762\uff0c\u4e2d\u5fc3\u57ce\u533a\u901a\u5e38\u662f\u5404\u7c7b\u65b0\u95fb\u3001\u5404\u7c7b\u65b0\u9c9c\u4e8b\u513f\u7684\u53d1\u6e90\u5730\uff0c\u5b83\u4eec\u7406\u5e94\u5728\u6211\u4eec\u7684\u5934\u8111\u4e2d\u5360\u636e\u66f4\u5927\u7684\u7a7a\u95f4\u3002<\/span><\/p>\n

\u770b\u7740\u56fe<\/span>6\u53f3\u56fe\u4e2d\u88ab\u626d\u66f2\u4e86\u7684\u5927\u4f26\u6566\u533a\u57df\uff0c\u6211\u4eec\u4e0d\u7981\u60f3\u8d77\u4e86\u8457\u540d\u753b\u5bb6\u57c3\u820d\u5c14\u7684\u4f5c\u54c1\uff0c\u5982\u56fe7\u6240\u793a<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n

\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe7 \u8457\u540d\u8377\u5170\u7248\u753b\u5bb6\u57c3\u820d\u5c14\u7684\u4f5c\u54c1\uff0c\u7528\u7b49\u5927\u5c0f\u7684\u9c7c\u586b\u5145\u7684\u6574\u4e2a\u53cc\u66f2\u7a7a\u95f4\u7684\u5e9e\u52a0\u83b1\u5706\u76d8\u6a21\u578b<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u8fd9\u662f\u4e00\u4e2a\u65e0\u9650\u7684\u53cc\u66f2\u7a7a\u95f4\uff08\u66f2\u7387\u4e3a\u8d1f\u5e38\u6570\u7684\u975e\u6b27\u7a7a\u95f4\uff09\uff0c\u4f46\u662f\u901a\u8fc7\u5e9e\u52a0\u83b1\u5706\u76d8\uff08<\/span>Poincare disk\uff09\u8868\u793a\u65b9\u6cd5\uff0c\u8fd9\u4e2a\u65e0\u9650\u7684\u7a7a\u95f4\u88ab\u538b\u7f29\u5230\u4e86\u4e00\u4e2a\u6709\u9650\u7684\u5706\u76d8\u4e0a\u3002\u56fe\u4e2d\u6240\u6709\u7684\u9c7c\u90fd\u662f\u5168\u7b49\u7684\uff0c\u4f46\u662f\uff0c\u7531\u4e8e\u53cc\u66f2\u7a7a\u95f4\u5b58\u5728\u7740\u626d\u66f2\u53d8\u5f62\uff0c\u8fd9\u5c31\u4f7f\u5f97\u4e2d\u5fc3\u533a\u57df\u7684\u9c7c\u663e\u5f97\u66f4\u5927\u4e00\u4e9b\uff0c\u56db\u5468\u7684\u9c7c\u663e\u5f97\u975e\u5e38\u5c0f\uff0c\u4ee5\u81f3\u4e8e\u5728\u8fb9\u754c\u5904\uff0c\u6709\u9650\u7684\u5706\u6324\u4e0b\u4e86\u65e0\u7a77\u591a\u6761\u9c7c\uff0c\u8fd9\u4e9b\u9c7c\u7684\u8868\u89c2\u9762\u79ef\u662f\u65e0\u7a77\u5c0f\u3002<\/span><\/p>\n

\u8fd9\u542f\u53d1\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\u7684\u731c\u60f3\uff0c\u65e2\u7136\u57ce\u5e02\u7684\u7b49\u4eba\u53e3\u5bc6\u5ea6\u56fe\u53ef\u4ee5\u5c55\u73b0\u5f97\u597d\u50cf\u4e00\u4e2a\u53cc\u66f2\u5e9e\u52a0\u83b1\u5706\u76d8\uff0c\u90a3\u4e48\u6709\u6ca1\u6709\u53ef\u80fd\u6211\u4eec\u7684\u793e\u4f1a\u7f51\u7edc\u672c\u8eab\u4e5f\u662f\u751f\u957f\u5728\u8fd9\u79cd\u53cc\u66f2\u7a7a\u95f4\u4e2d\u7684\u4e00\u79cd\u7f51\u7edc\u5462\uff1f<\/span><\/p>\n

\u8fd8\u771f\u6709\u4eba\u8fd9\u4e48\u60f3\u3002\u4fc4\u7f57\u65af\u88d4\u7684\u7f8e\u7c4d\u6570\u5b66\u5bb6\u514b\u91cc\u5965\u79d1\u592b\uff08<\/span>Dmitri Krioukov\uff09\u548c\u5e0c\u814a\u79d1\u5b66\u5bb6\u556a\u556a\u591a\u666e\u6d1b\u65af\uff08<\/span>Fragkiskos Papadopoulos\uff09\u957f\u65f6\u95f4\u5408\u4f5c\u7814\u7a76\u590d\u6742\u7f51\u7edc\u7684\u53cc\u66f2\u51e0\u4f55\u6a21\u578b\u3002\u7ec8\u4e8e\uff0c<\/span>2012\u5e74\uff0c\u4ed6\u4eec\u5728Nature\u53d1\u8868\u4e86\u4e00\u7bc7\u9898\u4e3a\u201c\u751f\u957f\u7f51\u7edc\u4e2d\u7684\u6d41\u884c\u6027\u53ca\u5176\u76f8\u4f3c\u6027\u201d\uff08Popularity versus similarity in growing networks\uff09\u7684\u957f\u6587\uff0c\u6784\u9020\u4e86\u4e00\u4e2a\u53cc\u66f2\u51e0\u4f55\u7a7a\u95f4\u4e2d\u7684\u751f\u957f\u7f51\u7edc\u6a21\u578b\u3002\u8be5\u6a21\u578b\u4e0d\u4ec5\u590d\u73b0\u51fa\u6765\u4e86\u5c0f\u4e16\u754c\u3001\u9ad8\u805a\u96c6\u6027\u3001\u65e0\u6807\u5ea6\u7b49\u6027\u8d28\uff0c\u800c\u4e14\u8fd8\u80fd\u6db5\u76d6\u51e0\u4e4e\u6240\u6709\u91cd\u8981\u7684\u7f51\u7edc\u6a21\u578b\u3002<\/strong><\/span><\/p>\n

\u8ba9\u6211\u4eec\u8fd8\u662f\u7528\u57ce\u5e02\u6765\u505a\u6bd4\u55bb\u3002\u5047\u8bbe\u6709\u4e00\u4e2a\u53cc\u66f2\u51e0\u4f55\u7a7a\u95f4\u4e2d\u7684\u4eba\u7c7b\u57ce\u5e02\u3002\u5728\u521d\u59cb\u65f6\u523b\uff0c\u57ce\u5e02\u4e2d\u4ec5\u6709\u4e00\u4e2a\u5c45\u6c11\uff0c\u4ed6\uff08\u5979\uff09\u5c31\u5c45\u4f4f\u5728\u57ce\u5e02\u7684\u6b63\u4e2d\u592e\uff08<\/span>1\u53f7\u8282\u70b9\u6240\u5728\u7684\u4f4d\u7f6e\uff0c\u5e9e\u52a0\u83b1\u5706\u76d8\u7684\u6b63\u4e2d\u5fc3\uff09\u3002\u7136\u540e\uff0c\u65b0\u7684\u5c45\u6c11\u5f00\u59cb\u4e00\u4e2a\u4e2a\u5730\u8fdb\u5165\u57ce\u5e02\u3002\u5047\u8bbe\u5148\u6765\u7684\u4eba\u9760\u8fd1\u5e02\u4e2d\u5fc3\uff0c\u800c\u540e\u5230\u7684\u5e02\u6c11\u5219\u53ea\u80fd\u4e0d\u65ad\u5730\u5f80\u5916\u56f4\u6269\u5f20\u3002\u6bcf\u4e2a\u8282\u70b9\u90fd\u6709\u4e00\u4e2a\u6781\u5750\u6807\uff0c\u6a21\u578b\u89c4\u5b9a\u7b2c<\/span>t\u4e2a\u4eba\u5230\u5e02\u4e2d\u5fc3\u7684\u8ddd\u79bb\u662f\uff0c\u5e76\u4e14\u89d2\u5ea6\u5219\u662f\u4ece0\u5230\u533a\u95f4\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u3002\u6bcf\u65b0\u52a0\u5165\u4e00\u4e2a\u8282\u70b9\uff0c\u5c31\u4f1a\u5e26\u6765<\/span>m\u4e2a\u65b0\u8fde\u8fb9\uff08\u5176\u4e2dm\u662f\u4e00\u4e2a\u53c2\u6570\uff0c\u6bd4\u59823\uff09\u3002\u90a3\u4e48\u8fd9m\u4e2a\u65b0\u8fde\u8fb9\u5e94\u8be5\u8ddf\u8c01\u8fde\u5462\uff1f\u7b54\u6848\u662f\u6240\u6709\u7684\u53cc\u66f2\u7a7a\u95f4\u4e2d\u79bb\u8fd9\u4e2a\u65b0\u6765\u7684\u8282\u70b9\u6700\u8fd1\u7684m\u4e2a\u70b9\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe8 \u53cc\u66f2\u7a7a\u95f4\u4e0b\u7684\u751f\u957f\u7f51\u7edc<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u5982\u56fe<\/span>8\u6240\u793a\uff0c\u7ea2\u8272\u7684\u533a\u57df\u5c31\u662f\u4ee5\u65b0\u52a0\u5165\u7684\u8282\u70b9<\/span>20\u4e3a\u4e2d\u5fc3\u7684\u53cc\u66f2\u5706\u3002\u6211\u4eec\u770b\u5230\u8fd9\u4e2a\u53cc\u66f2\u5706\uff08\u7ea2\u8272\u533a\u57df\uff09\u5e76\u4e0d\u662f\u4e00\u4e2a\u5bf9\u79f0\u7684\u56fe\u5f62\uff0c\u800c\u662f\u597d\u50cf\u820c\u5934\u4e00\u6837\u4ece\u8fb9\u7f18\u4f38\u5411\u4e86\u4e2d\u5fc3\u3002\u8fd9\u6070\u6070\u662f\u53cc\u66f2\u51e0\u4f55\u7684\u5178\u578b\u7279\u5f81\u3002\u8981\u60f3\u6210\u4e3a\u65b0\u8282\u70b920\u7684\u90bb\u5c45\uff0c\u8001\u8282\u70b9\u8981\u4e48\u4f4d\u5c45\u9760\u8fd1\u57ce\u5e02\u4e2d\u5fc3\u7684\u4f4d\u7f6e\uff0c\u8981\u4e48\u5c31\u662f\u5728\u4e0e\u65b0\u8282\u70b9\u5dee\u4e0d\u591a\u7684\u89d2\u5ea6\u65b9\u5411\u4e0a\u3002<\/span><\/span><\/p>\n

\u4e8b\u5b9e\u4e0a\uff0c\u556a\u556a\u591a\u666e\u6d1b\u65af\u5c06\u6bcf\u4e2a\u70b9<\/span>N\u5230\u4e2d\u5fc3\u8282\u70b9\u7684\u957f\u5ea6\u89e3\u91ca\u4e3a\u8be5\u8282\u70b9\u7684\u6d41\u884c\u6027\uff0c\u5982\u679cln N\u8d8a\u5c0f\uff0c\u5219\u8be5\u8282\u70b9\u8d8a\u6d41\u884c\u3002\u53cd\u8fc7\u6765\uff0c\u4f5c\u8005\u5c06\u6bcf\u4e2a\u8282\u70b9\u6240\u5728\u7684\u89d2\u5ea6\u89e3\u91ca\u4e3a\u8282\u70b9\u7684\u76f8\u4f3c\u6027\u6307\u6807\uff0c\u5982\u679c\u4e24\u4e2a\u8282\u70b9\u7684\u89d2\u5ea6\u8d8a\u9760\u8fd1\u5219\u5b83\u4eec\u5f7c\u6b64\u4e4b\u95f4\u5c31\u4f1a\u8d8a\u76f8\u4f3c\u3002\u6240\u4ee5\uff0c\u8981\u60f3\u7ade\u4e89\u5230\u65b0\u7684\u94fe\u63a5\uff0c\u90a3\u4e48\u8001\u8282\u70b9\u8981\u4e48\u975e\u5e38\u6d41\u884c\uff0c\u8981\u4e48\u4e0e\u65b0\u8282\u70b9\u8db3\u591f\u76f8\u4f3c\u3002\u5728\u53cc\u66f2\u51e0\u4f55\u4e2d\u8fd9\u5c31\u4f53\u73b0\u4e3a\u8ba9\u8001\u8282\u70b9\u5230\u65b0\u8282\u70b9\u7684\u53cc\u66f2\u8ddd\u79bb\u6700\u5c0f\u5316\u3002<\/span><\/p>\n

\u53ef\u4ee5\u9a8c\u8bc1\u8be5\u7f51\u7edc\u5177\u6709\u5c0f\u4e16\u754c\u6548\u5e94\u3002\u4e8b\u5b9e\u4e0a\uff0c\u90a3\u4e9b\u8fde\u901a\u5230\u6d41\u884c\u5ea6\u6bd4\u8f83\u9ad8\u7684\u8fde\u8fb9\u6070\u6070\u53ef\u4ee5\u964d\u4f4e\u7f51\u7edc\u6574\u4f53\u7684\u5e73\u5747\u8def\u5f84\u957f\u5ea6\u3002\u800c\u7531\u4e8e\u6574\u4e2a\u7f51\u7edc\u90fd\u662f\u6309\u7167\u53cc\u66f2\u7a7a\u95f4\u8fd1\u90bb\u7684\u65b9\u5f0f\u5efa\u7acb\uff0c\u53cc\u66f2\u7a7a\u95f4\u53c8\u662f\u4e00\u4e2a\u5ea6\u89c4\u7a7a\u95f4\uff0c\u5176\u4e0a\u7684\u4e09\u89d2\u5f62\u5fc5\u7136\u6ee1\u8db3\u4e09\u89d2\u4e0d\u7b49\u5f0f\u3002\u8fd9\u6837\uff0c\u5982\u679c<\/span>A\u548cB\u662f\u90bb\u5c45\uff0cB\u548cC\u4e5f\u662f\u90bb\u5c45\uff0c\u90a3\u4e48\u6839\u636e\u4e09\u89d2\u4e0d\u7b49\u5f0f\uff0c\u4e24\u8fb9\u4e4b\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9\uff0c\u4e5f\u5c31\u610f\u5473\u7740A\u548cC\u7684\u8ddd\u79bb\u8981\u5c0f\u4e8eAB+BC\uff0c\u6240\u4ee5<\/span>A\u548cC\u4e5f\u5c31\u4f1a\u6709\u8f83\u5927\u7684\u6982\u7387\u53d1\u751f\u8fde\u63a5\u3002\u4e8e\u662f\uff0c\u7f51\u7edc\u7684\u96c6\u805a\u6027\u4e5f\u4f1a\u5f88\u5f3a\u3002\u5176\u5b9e\uff0c\u53ea\u8981\u4e00\u4e2a\u7f51\u7edc\u88ab\u5d4c\u5165\u5230\u4e00\u4e2a\u5177\u6709\u5ea6\u89c4\uff08\u5b9a\u4e49\u4e86\u8ddd\u79bb\uff09\u7684\u7a7a\u95f4\u4e2d\uff0c\u4e09\u89d2\u4e0d\u7b49\u5f0f\u5c31\u90fd\u53ef\u4ee5\u6210\u7acb\uff0c\u4e5f\u5c31\u610f\u5473\u7740\u96c6\u805a\u6027\u4f1a\u5f88\u9ad8\u3002<\/strong><\/span><\/span><\/p>\n


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\u65e0\u6807\u5ea6\u7f51\u7edc\u4e0e\u53cc\u66f2\u7a7a\u95f4<\/span><\/p>\n

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


<\/p>\n

\u66f4\u91cd\u8981\u7684\u662f\uff0c<\/span>\u53cc\u66f2\u51e0\u4f55\u81ea\u7136\u8574\u542b\u7740\u65e0\u6807\u5ea6\u7f51\u7edc<\/span><\/strong>\u3002\u4e8b\u5b9e\u4e0a\uff0c\u65e9\u5728<\/span>2010\u5e74\uff0c\u514b\u91cc\u5965\u79d1\u592b\u548c\u556a\u556a\u591a\u666e\u6d1b\u65af\u5c31\u53d1\u73b0\uff0c\u57fa\u4e8e\u53cc\u66f2\u7a7a\u95f4\u7684\u5c40\u57df\u8fde\u63a5\u7ed3\u6784\u5c31\u5929\u7136\u662f\u65e0\u6807\u5ea6\u7684\u3002\u6bd4\u5982\u6211\u4eec\u5728\u53cc\u66f2\u7a7a\u95f4\u4e2d\u968f\u673a\u5730\u6d12\u4e0b\u5f88\u591a\u70b9\uff0c\u4e24\u4e2a\u70b9\u4e4b\u95f4\u7684\u53cc\u66f2\u8ddd\u79bb\u5982\u679c\u5c0f\u4e8e\u67d0\u4e00\u4e2a\u5e38\u6570\u5c31\u8fde\u63a5\u4e00\u6761\u8fb9\uff0c\u90a3\u4e48\u751f\u6210\u7684\u7f51\u7edc\u5c31\u662f\u65e0\u6807\u5ea6\u7f51\u7edc\u3002<\/span><\/span><\/p>\n

\u8fd9\u80cc\u540e\u7684\u539f\u56e0\u662f\u4ec0\u4e48\u5462\uff1f\u539f\u6765\uff0c\u53cc\u66f2\u7a7a\u95f4\u5176\u5b9e\u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u8fde\u7eed\u7248\u672c\u7684\u6811\u72b6\u7f51\u7edc\uff0c\u800c\u4e0d\u540c\u5206\u53c9\u6570\u7684\u6811\u4f1a\u5bf9\u5e94\u53cc\u66f2\u7a7a\u95f4\u4e2d\u7684\u4e0d\u540c\u66f2\u7387\uff08\u5982\u679c\u6811\u7684\u5206\u53c9\u7387\u4e3a<\/span>b\uff0c\u90a3\u4e48\u6240\u5bf9\u5e94\u7684\u53cc\u66f2\u7a7a\u95f4\u7684\u66f2\u7387\u5c31\u662f-(ln b)<\/span>2<\/span><\/sup>\uff09\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\"\u96c6\u667a\"<\/p>\n<\/section>\n

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\u56fe9 \u53cc\u66f2\u7a7a\u95f4\u4e2d\u7684\u6811\uff08\u5728\u56fe\u4e2d\uff0c\u6bcf\u4e00\u4e2a\u516d\u8fb9\u5f62\u90fd\u662f\u7b49\u9762\u79ef\u7684\uff0c\u5c06\u6bcf\u4e2a\u516d\u8fb9\u5f62\u7684\u4e2d\u5fc3\u8fde\u8d77\u6765\u5c31\u5f62\u6210\u4e86\u4e00\u68f5\u6811\u72b6\u7ed3\u6784\uff0c\u8fd9\u662f\u53cc\u66f2\u7a7a\u95f4\u7684\u79bb\u6563\u7248\u672c\uff09<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n
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\u5b9e\u9645\u4e0a\uff0c<\/span>\u514b\u91cc\u5965\u79d1\u592b<\/span><\/strong>\u548c<\/span><\/strong>\u556a\u556a\u591a\u666e\u6d1b\u65af\u5e76\u4e0d\u662f\u53d1\u73b0\u7cfb\u7edf\u65e0\u6807\u5ea6\u6027\u548c\u53cc\u66f2\u51e0\u4f55\u4e4b\u95f4\u8054\u7cfb\u7684\u7b2c\u4e00\u4eba\uff0c\u8fd9\u5957\u65b9\u6cd5\u53ef\u4ee5\u8ffd\u6eaf\u5230\u91cf\u5b50\u7269\u7406\u4e2d\u7684<\/span><\/strong>AdS\/CFT<\/span><\/strong>\u53d8\u6362<\/span><\/strong>\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

<\/span> <\/span> <\/span> <\/section>\n
\n
\u91cf\u5b50\u7ea0\u7f20<\/span><\/strong><\/section>\n<\/section>\n
\n

\u6709\u4eba\u8bf4\uff0c\u7269\u7406\u5b66\u7ed9\u4eba\u7c7b\u5e26\u6765\u6700\u4f1f\u5927\u7684\u8d22\u5bcc\u53ef\u4ee5\u7528\u4e09\u4e2aE\u6765\u4ee3\u8868\u3002\u7b2c\u4e00\u662fEnergy\uff0c\u80fd\u91cf\uff1b\u7b2c\u4e8c\u662fEntropy\uff0c\u71b5\uff1b\u7b2c\u4e09\u4e2a\u5c31\u662fEntanglement\uff0c\u7ea0\u7f20\u3002<\/strong>\u7531\u6b64\u53ef\u89c1\u91cf\u5b50\u7ea0\u7f20\u5728\u7269\u7406\u4e2d\u7684\u91cd\u8981\u6027\u3002<\/span><\/p>\n

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\u8fd9\u4e2a\u65f6\u5019\uff0c\u7269\u7406\u5b66\u5bb6\u4eec\u5ffd\u7136\u60f3\u5230\u4e86\u866b\u6d1e\u3002\u6240\u8c13\u7684\u866b\u6d1e\uff0c\u5c31\u662f\u4e00\u79cd\u65f6\u7a7a\u7ed3\u6784\uff0c\u53ef\u4ee5\u5c06\u4e24\u4e2a\u539f\u672c\u76f8\u9694\u975e\u5e38\u8fdc\u7684\u7a7a\u95f4\u91cd\u65b0\u8054\u901a\u5230\u4e00\u8d77\u3002\u4e0d\u8fc7\uff0c\u8fd9\u79cd\u7ed3\u6784\u662f\u975e\u5e38\u4e0d\u7a33\u5b9a\u7684\uff0c\u5b83\u7684\u5bff\u547d\u4e5f\u6781\u5176\u77ed\u6682\u3002<\/span><\/p>\n

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<\/p>\n

<\/span> <\/span> <\/span><\/span><\/section>\n
\n
\u8d70\u5411\u7edf\u4e00
<\/strong><\/span><\/section>\n<\/section>\n


<\/p>\n

\n
\n
\n

\u9664\u4e86\u7a7a\u95f4\u548c\u65f6\u95f4\uff0c\u5b87\u5b99\u4e2d\u7684\u4e07\u4e8b\u4e07\u7269\u8fd8\u9700\u8981\u7528\u4e00\u4e2a\u57fa\u672c\u7684\u91cf\u53bb\u523b\u753b\uff0c\u8fd9\u5c31\u662f\u6807\u5ea6\u3002\u4e00\u53ea\u8682\u8681\u548c\u4e00\u5934\u5927\u8c61\u770b\u5230\u7684\u4e16\u754c\u662f\u4e0d\u4e00\u6837\u7684\uff0c\u56e0\u4e3a\u5b83\u4eec\u5728\u4e0d\u540c\u7684\u6807\u5ea6\u4e0a\u3002\u800c\u6709\u610f\u601d\u7684\u662f\uff0c\u5927\u81ea\u7136\u4e2d\u7684\u5f88\u591a\u590d\u6742\u4e8b\u7269\u90fd\u5177\u6709\u6807\u5ea6\u5bf9\u79f0\u6027\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5f53\u4f60\u62ff\u7740\u4e00\u4e2a\u653e\u5927\u955c\u53bb\u770b\u6574\u4e2a\u7cfb\u7edf\uff0c\u65e0\u8bba\u653e\u5927\u955c\u7684\u500d\u6570\u6709\u591a\u5927\uff0c\u4f60\u6240\u770b\u5230\u7684\u90fd\u662f\u975e\u5e38\u76f8\u4f3c\u7684\u666f\u8c61\u2014\u2014\u8fd9\u5c31\u662f\u5206\u5f62\u3002\u4e8e\u662f\uff0c\u4f5c\u4e3a\u4e00\u4e2a\u89c2\u5bdf\u8005\uff0c\u4f60\u5df2\u7ecf\u65e0\u6cd5\u5206\u8fa8\u81ea\u5df1\u5728\u4ec0\u4e48\u6837\u7684\u6807\u5ea6\u4e0b\uff0c\u8fd9\u5c31\u662f\u6807\u5ea6\u5bf9\u79f0\u6027\u6216\u65e0\u6807\u5ea6\u6027\u3002<\/span><\/p>\n

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\u901a\u8fc7\u672c\u6587\u6240\u8bb2\u7684\u8fb9\u754c\uff0d\u4f53\u5bf9\u5076\u53d8\u6362\uff0c\u6211\u4eec\u5c31\u80fd\u5c06\u5904\u4e8e\u4e34\u754c\u7684\u7cfb\u7edf\u6620\u5c04\u5230\u4e00\u4e2a\u5177\u6709\u8d1f\u66f2\u7387\u7684\u66f4\u9ad8\u7ef4\u5ea6\u7684\u7a7a\u95f4\u4e2d\uff0c\u8fd9\u6837\u90a3\u4e9b\u957f\u7a0b\u8054\u7cfb\u5c31\u5168\u90e8\u53d8\u6210\u4e86\u5c40\u57df\u8054\u7cfb\u3002\u800c\u6211\u4eec\u7684\u4ee3\u4ef7\u5219\u662f\u591a\u51fa\u4e86\u4e00\u4e2a\u7ef4\u5ea6\uff0c\u8fd9\u4e2a\u7ef4\u5ea6\u6b63\u662f\u6807\u5ea6\u3002\u8fd9\u6837\uff0c\u6cbf\u7740\u53cc\u66f2\u7a7a\u95f4\u7684\u5f84\u5411\u8f74\uff0c\u4e5f\u5c31\u662f\u6807\u5ea6\uff0c\u7cfb\u7edf\u88ab\u4e00\u5c42\u4e00\u5c42\u5c55\u5f00\uff0c\u6240\u6709\u7684\u590d\u6742\u8026\u5408\u90fd\u53d8\u6210\u4e86\u53cc\u66f2\u7a7a\u95f4\u4e2d\u7684\u5c40\u90e8\u8054\u7cfb\u2014\u2014\u8fd9\u4fbf\u662f\u6211\u4eec\u719f\u6089\u7684\u91cd\u6574\u5316\u64cd\u4f5c\u3002\u66f4\u91cd\u8981\u7684\u662f\uff0c\u6211\u4eec\u719f\u6089\u7684\u90a3\u4e9b\u57fa\u4e8e\u5c40\u57df\u8054\u7cfb\u7684\u5206\u6790\u624b\u6bb5\u53c8\u53ef\u4ee5\u6709\u7528\u6b66\u4e4b\u5730\u4e86\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u53cc\u66f2\u7a7a\u95f4\u4e2d\uff0c\u4eba\u4eec\u83b7\u5f97\u4e86\u5168\u65b0\u7684\u89c6\u89d2\u3002<\/span><\/p>\n

\u65e0\u8bba\u662f\u91cf\u5b50\u7269\u7406\u8fd8\u662f\u590d\u6742\u7f51\u7edc\uff0c\u6211\u4eec\u770b\u5230\u4e86\u7531\u5173\u7cfb\u3001\u6807\u5ea6\u3001\u81ea\u76f8\u4f3c\u3001\u53cc\u66f2\u51e0\u4f55\u76f8\u4e92\u4ea4\u7ec7\u7684\u5927\u7f51\u3002<\/span><\/strong>\u4e5f\u8bb8\u8fd9\u662f\u4e00\u79cd\u80fd\u591f\u7edf\u9886\u5b8f\u89c2\u4e0e\u5fae\u89c2\u7684\u7edf\u4e00\u7406\u8bba\uff0c\u8fd9\u662f\u4e00\u79cd\u9762\u5411\u5173\u7cfb\u7684\u7269\u7406\u5b66\u3002<\/span><\/span><\/p>\n


<\/p>\n

\u540e\u8bb0\uff1a<\/span><\/strong><\/span><\/span><\/strong><\/span>
<\/span><\/span><\/p>\n

\u672c\u7bc7\u6587\u7ae0\u7684\u7075\u611f\u6765\u6e90\u4e8e\u51ef\u98ce\u57fa\u91d1\u4f1a\u8d5e\u52a9\u96c6\u667a\u4ff1\u4e50\u90e8\u4e8e2016\u5e7410\u6708\u521d\u4e3e\u529e\u7684\u201c\u7f51\u7edc\u3001\u51e0\u4f55\u4e0e\u673a\u5668\u5b66\u4e60\u201d\u7814\u8bfb\u8425\u6d3b\u52a8\u3002<\/strong>\u5728\u8fd9\u6b21\u6d3b\u52a8\u4e2d\uff0c\u5c24\u4ea6\u5e84\u3001\u5f20\u6f58\u3001\u5434\u4ee4\u98de\u7b49\u5e74\u8f7b\u5b66\u8005\u56f4\u7ed5\u7740\u590d\u6742\u7f51\u7edc\u3001\u7edf\u8ba1\u7269\u7406\u3001\u91cf\u5b50\u7269\u7406\u3001\u673a\u5668\u5b66\u4e60\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u7b49\u591a\u4e2a\u4e3b\u9898\u5c55\u5f00\u4e86\u5bc6\u96c6\u5f0f\u7684\u8ba8\u8bba\u3002\u672c\u7bc7\u6587\u7ae0\u662f\u7b14\u8005\u9488\u5bf9\u7814\u8bfb\u8425\u6d3b\u52a8\u5185\u5bb9\u6240\u601d\u6240\u60f3\u7684\u4e00\u4e2a\u611f\u609f\uff0c\u540e\u7ecf\u6587\u5c0f\u521a\u8001\u5e08\u7684\u70b9\u62e8\u64b0\u5199\u6210\u6587\u3002\u7531\u4e8e\u6587\u4e2d\u5f88\u591a\u89c2\u70b9\u5bf9\u4e8e\u7b14\u8005\u6765\u8bf4\u90fd\u662f\u521d\u6b21\u63a5\u89e6\uff0c\u6545\u800c\u5982\u679c\u6587\u4e2d\u6709\u9519\u8bef\u6216\u4e0d\u5f53\u4e4b\u5904\uff0c\u8fd8\u8bf7\u5404\u4f4d\u8bfb\u8005\u6d77\u6db5\u3002<\/span><\/p>\n


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


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

\u66f4\u591a\u7814\u8bfb\u8425\u7cbe\u54c1\u6587\u7ae0\uff1a<\/span><\/strong><\/p>\n

\u7edf\u4e00\u4e4b\u8def\uff1a\u91cf\u5b50\u7ea0\u7f20\u3001\u65f6\u7a7a\u51e0\u4f55\u4e0e\u673a\u5668\u5b66\u4e60<\/a>
<\/span><\/p>\n

\u5982\u4f55\u638c\u63e1\u5b87\u5b99\uff1f| \u51ef\u98ce-\u96c6\u667a\u7814\u8bfb\u8425\u7b14\u8bb0\u4e4b\u4e00<\/a>
<\/span><\/p>\n


<\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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

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

    \n
  1. \n

    \u5173\u4e8e\u590d\u6742\u7f51\u7edc\u7684\u57fa\u7840\u77e5\u8bc6\uff0c\u53ef\u4ee5<\/span>\u53c2\u8003<\/span>Mark <\/span>Newman\u7684\u7ecf\u5178\u6559\u6750\uff1a<\/span><\/span><\/p>\n

    Mark<\/span> <\/span>Newman<\/span>: Networks: An Introduction, OUP Oxford, 2010<\/span><\/span><\/p>\n<\/li>\n

  2. \n

    <\/span> <\/span>\u5173\u4e8e\u53cc\u66f2\u51e0\u4f55\u7684\u5165\u95e8\u4ecb\u7ecd\uff0c\u53ef\u4ee5\u53c2\u770b\uff1a<\/span><\/span><\/p>\n

    Francis Bonahon: Low-dimensional geometry – From Euclidean Surfaces to Hyperbolic Knots, American Mathematical Society, 1995<\/span><\/p>\n<\/li>\n

  3. \n

    <\/span>\u590d\u6742\u7f51\u7edc\u7684\u53cc\u66f2\u751f\u957f\u6a21\u578b\uff08\u539f\u8f7d\u4e8e<\/span>Nature\uff09<\/span><\/span>\uff1a<\/span><\/span><\/p>\n

    Papadopoulos F, Kitsak M, Serrano M \u00c1, et al. Popularity versus similarity in growing networks[J]. Nature, 2012, 489(7417): 537-540.<\/span><\/p>\n<\/li>\n

  4. \n

     \u53cc\u66f2\u7a7a\u95f4\u4e2d\u7684\u968f\u673a\u51e0\u4f55\u56fe\u6a21\u578b\uff08<\/span><\/span>\u5c06\u53cc\u66f2\u51e0\u4f55\u5f15\u5165\u590d\u6742\u7f51\u7edc\u7814\u7a76\u7684\u6700\u65e9\u8bba\u6587\uff09\uff1a<\/span><\/span><\/p>\n

    Krioukov, D. (2010). “Hyperbolic geometry of complex networks”. <\/span>Physical Review E<\/span><\/em> <\/span>82<\/span><\/strong>: 036106.<\/span><\/span><\/p>\n<\/li>\n

  5. \n

    \u5173\u4e8e\u590d\u6742\u7f51\u7edc\u4e0e\u53cc\u66f2\u7a7a\u95f4\uff08\u96c6\u667a\u7684\u767e\u79d1\u4ecb\u7ecd\uff09\uff1a<\/span><\/p>\n

    http:\/\/wiki.swarma.net\/index.php\/%E5%A4%8D%E6%9D%82%E7%BD%91%E7%BB%9C%E7%9A%84%E5%8F%8C%E6%9B%B2%E5%87%A0%E4%BD%95%E6%A8%A1%E5%9E%8B<\/span><\/p>\n<\/li>\n

  6. \n

     <\/span>\u5173\u4e8e\u91cf\u5b50\u7ea0\u7f20\u4e0e\u866b\u6d1e\uff082016\u5e7411\u6708\u300a\u79d1\u5b66\u7f8e\u56fd\u4eba\u300b\u53d1\u8868\u7684\u79d1\u666e\u6587\u7ae0\uff09\uff1a<\/span><\/span><\/p>\n

    Juan Maldacena: Black Holes and Wormholes and the Secrets of Quantum Spacetime, Scientific American 315, 26 – 31 (2016)<\/span><\/p>\n<\/li>\n

  7. \n

    <\/span>\u5173\u4e8e\u91cf\u5b50\u4fe1\u606f\u4e0e\u91cf\u5b50\u7ea0\u7f20\uff08\u5c24\u4ea6\u5e84\u5728\u96c6\u667a\u767e\u79d1\u4e0a\u9762\u7684\u4ecb\u7ecd\uff09\uff1a<\/span><\/span><\/p>\n

    http:\/\/wiki.swarma.net\/index.php\/2016%E7%A0%94%E8%AF%BB%E8%90%A5%E4%B9%8B%E5%BC%A0%E9%87%8F%E7%BD%91%E7%BB%9C<\/span><\/a><\/p>\n<\/li>\n

  8. \n

    <\/span>\u5173\u4e8e\u91cf\u5b50\u4fe1\u606f\u4e0e\u91cf\u5b50\u8ba1\u7b97\uff08\u7ecf\u5178\u6559\u79d1\u4e66\uff09\uff1a<\/span><\/span><\/p>\n

    Michael Nielson & Issac L. Chuang, Quantum computation and quantum information, Cambridge University Press, 2001<\/span><\/p>\n<\/li>\n

  9. \n

     <\/span>\u5173\u4e8e<\/span>AdS<\/span>\/CFT<\/span>\u5bf9\u5e94\uff08\u7ef4\u57fa\u767e\u79d1\u4e0a\u7684\u8bcd\u6761\uff09\uff1a<\/span><\/span><\/p>\n

    https:\/\/en.wikipedia.org\/wiki\/AdS\/CFT_correspondence<\/span><\/p>\n

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

    <\/span><\/p>\n<\/li>\n<\/ol>\n


    <\/p>\n


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


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

    –  END –<\/span><\/p>\n


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

    \n


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

    \u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/strong><\/span><\/p>\n


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

    \u82f1\u6587\u540d\uff1a Swarm Agents Club \uff0c<\/span>\u7b80\u79f0\u201c SA Club<\/span> \u201d\uff0c\u6210\u7acb\u4e8e 2008 \u5e74 \uff0c \u662f\u4e00\u4e2a\u4ece\u4e8b\u5b66\u672f\u7814\u7a76\u3001\u4eab\u53d7\u79d1\u5b66\u4e50\u8da3\u7684\u63a2\u7d22\u8005\u7684\u56e2\u4f53 \u3002\u5b83\u5021\u5bfc\u4ee5\u5e73\u7b49\u5f00\u653e\u7684\u6001\u5ea6\u3001\u79d1\u5b66\u5b9e\u8bc1\u7684\u7cbe\u795e\uff0c\u8fdb\u884c\u8de8\u5b66\u79d1\u7684\u7814\u7a76\u4e0e\u4ea4\u6d41\uff0c\u529b\u56fe\u642d\u5efa\u4e00\u4e2a\u4e2d\u56fd\u7684 \u201c \u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240 \u201d<\/strong><\/span><\/span><\/p>\n

    \u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u53e3\u53f7\uff1a<\/span><\/p>\n

    \u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01\uff01\uff01<\/span><\/p>\n

    \u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u4f7f\u547d\uff08\u5373\u76ee\u6807\uff09\uff1a<\/span><\/p>\n

    \u8425\u9020\u81ea\u7531\u4ea4\u6d41\u5b66\u672f\u601d\u60f3\u7684\u5c0f\u751f\u5883\uff0c \u5b55\u80b2\u5f00\u521b\u6027\u7684\u79d1\u5b66\u53d1\u73b0<\/span><\/p>\n

    \u96c6\u667a\u6bcf\u5468\u7cbe\u54c1\u63a8\u8350<\/span><\/strong>
    <\/span><\/p>\n

    \u96c6\u667aSuperfit AI\u5723\u8bde\u665a\u4f1a\uff0c\u8ba9\u4f60\u7684\u5723\u8bde\u5feb\u4e50\u518d\u98de\u4e00\u4f1a\u513f\uff01<\/a>
    <\/strong><\/span><\/p>\n

    \u6df1\u5ea6\u5b66\u4e60\u4e0e\u81ea\u7136\u8bed\u8a00\u5904\u7406 | \u516c\u5f00\u6d3b\u52a8<\/strong><\/span><\/a>
    <\/p>\n

    \u6df1\u5ea6\u5b66\u4e60\u5728\u81ea\u7136\u8bed\u8a00\u5904\u7406\u4e2d\u7684\u5e94\u7528 | \u539f\u521b\u7cbe\u9009<\/strong><\/span><\/a>
    <\/p>\n

    \"\u96c6\u667a\"<\/p>\n

    \u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01<\/span><\/p>\n

    \n
    \"\u96c6\u667a\"
    <\/section>\n<\/section>\n

    \u957f\u6309\u8bc6\u522b\u4e8c\u7ef4\u7801\uff0c\u5173\u6ce8\u96c6\u667aClub\uff0c<\/span><\/p>\n

    \u8ba9\u6211\u4eec\u79bb\u79d1\u5b66\u63a2\u7d22\u66f4\u8fd1\u4e00\u6b65\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


    <\/p>\n

    \n

    \u59cb\u53d1\u4e8e\u5fae\u4fe1\u516c\u4f17\u53f7\uff1a \u96c6\u667a\u4ff1\u4e50\u90e8 <\/p>\n<\/blockquote>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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