{"id":433,"date":"2018-07-27T01:00:00","date_gmt":"2018-07-26T17:00:00","guid":{"rendered":"http:\/\/swarma.org\/%swarma-paper%\/"},"modified":"2018-12-05T17:28:22","modified_gmt":"2018-12-05T09:28:22","slug":"pnas%e5%89%8d%e6%b2%bf%ef%bc%9a%e4%bd%a0%e5%9c%a8%e7%bd%91%e7%bb%9c%e4%b8%ad%e7%9a%84%e4%bd%8d%e7%bd%ae%e5%a6%82%e4%bd%95%e7%bb%99%e4%bd%a0%e5%b8%a6%e6%9d%a5%e5%85%a8%e5%b1%80%e5%bd%b1%e5%93%8d","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=433","title":{"rendered":"PNAS\u524d\u6cbf\uff1a\u4f60\u5728\u7f51\u7edc\u4e2d\u7684\u4f4d\u7f6e\u5982\u4f55\u7ed9\u4f60\u5e26\u6765\u5168\u5c40\u5f71\u54cd\u529b\uff1f"},"content":{"rendered":"
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\"\u96c6\u667a\"<\/p>\n

\u6765\u6e90\uff1aDmitrii Kharchenko<\/span><\/strong>
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\u4e0e\u4f20\u7edf\u7b97\u6cd5\u4e0d\u540c\uff0c\u8be5\u7b97\u6cd5\u53ea\u9700\u8981\u7f51\u7edc\u7684<\/span>\u5c40\u90e8\uff08local\uff09\u4fe1\u606f<\/strong>\u5c31\u80fd\u7cbe\u786e\u91cf\u5316\u67d0\u4e00\u7528\u6237\u7684\u5168\u5c40\uff08global\uff09\u5f71\u54cd\u529b\uff0c\u5e76\u627e\u5230\u5f71\u54cd\u529b\u6700\u5927\u7684\u7fa4\u4f53\uff0c<\/span>\u5176\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u5e38\u6570\u7684\uff0c\u4e0e\u7f51\u7edc\u89c4\u6a21\u65e0\u5173\uff0c<\/strong>\u4ece\u800c\u5f88\u597d\u5730\u89e3\u51b3\u4e86\u4ee5\u4e0a\u96be\u9898\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Local structure can identify and quantify influential global spreaders in large scale social networks<\/span><\/p>\n

\u8bba\u6587\u4f5c\u8005\uff1a<\/span><\/p>\n

Yanqing Hu, Shenggong Ji, Yuliang Jin, Ling Feng, H. Eugene Stanley, and Shlomo Havlin<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a<\/span><\/span><\/p>\n

http:\/\/www.pnas.org\/content\/early\/2018\/07\/02\/1710547115.short<\/span><\/p>\n<\/blockquote>\n<\/section>\n


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\u968f\u7740\u4e92\u8054\u7f51\u6280\u672f\u7684\u53d1\u5c55\uff0c\u5fae\u4fe1\u3001\u5fae\u535a\u3001Facebook\u3001Twitter\u7b49\u793e\u4ea4\u5e73\u53f0\u7684\u5927\u91cf\u6d8c\u73b0\uff0c\u5728\u7ebf\u793e\u4ea4\u7f51\u7edc\uff08online social network\uff09\u6b63\u9010\u6b65\u53d6\u4ee3\u4f20\u7edf\u5a92\u4f53\uff0c\u6210\u4e3a\u4fe1\u606f\u4f20\u64ad\u7684\u4e3b\u8981\u6e90\u5934\u548c\u5e73\u53f0\u3002\u5728\u7ebf\u793e\u4ea4\u7f51\u7edc\u7684\u7814\u7a76\u4e2d\uff0c\u4e00\u4e2a\u6838\u5fc3\u7684\u79d1\u5b66\u95ee\u9898\u662f\uff1a\u5982\u4f55\u5728\u5de8\u5927\u7684\u793e\u4ea4\u7f51\u7edc\u4e2d\u7cbe\u786e\u5e76\u5feb\u901f\u5730\u91cf\u5316\u67d0\u4e00\u7528\u6237\u5728\u6574\u4e2a\u7f51\u7edc\u4e2d\u7684\u5f71\u54cd\u529b\uff0c\u5e76\u9009\u53d6\u6709\u9650\u7684\u521d\u59cb\u4f20\u64ad\u7528\u6237\uff0c\u4f7f\u5f97\u5176\u5168\u5c40\u4f20\u64ad\u80fd\u529b\u6700\u5927\uff08collective influence maximization\uff09\u3002<\/p>\n


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\u4ec0\u4e48\u662fNP\u96be\u9898\uff1a<\/span><\/p>\n

http:\/\/www.matrix67.com\/blog\/archives\/105<\/span><\/p>\n<\/blockquote>\n


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\u201c\u4e09\u5ea6\u5f71\u54cd\u529b\u201d\u7406\u8bba\uff1a<\/span><\/p>\n

https:\/\/book.douban.com\/subject\/20388034\/<\/span><\/p>\n<\/blockquote>\n


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1. \u6e17\u6d41\u7406\u8bba\u4e0e\u4fe1\u606f\u4f20\u64ad<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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1.1 \u7528\u6237\u5f71\u54cd\u529b\u7684\u51c6\u786e\u503c<\/strong><\/span><\/p>\n

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\u7814\u7a76\u53d1\u73b0\uff0c\u793e\u4ea4\u7f51\u7edc\u4e2d\u7684\u4fe1\u606f\u4f20\u64ad\u80fd\u591f\u88abSIR\u65cf\u6a21\u578b\uff08susceptible-infected-susceptible family models\uff09<\/strong>\u5f88\u597d\u5730\u523b\u753b\u3002\u56e0\u6b64\uff0c\u8fd9\u7bc7\u6587\u7ae0\u4e3b\u8981\u7814\u7a76SIR\u65cf\u6a21\u578b\u3002<\/p>\n


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1.2 \u7528\u6237\u5f71\u54cd\u529b\u7684\u7b2c\u4e00\u6b21\u8fd1\u4f3c<\/strong><\/span><\/p>\n

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\u6e17\u6d41\u7406\u8bba\uff1ahttp:\/\/wiki.swarma.net\/index.php\/%E6%B8%97%E6%B5%81%E6%A8%A1%E5%9E%8B<\/span><\/p>\n<\/blockquote>\n


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

\u8fd9\u91cc\uff0c\"\u96c6\u667a\"\uff1b\u5c31\u662f\u8bf4\uff0c\u4e00\u4e2a\u7528\u6237\u7684\u5f71\u54cd\u529b\u7b49\u4e8e\u6700\u5927\u8054\u901a\u96c6\u56e2\u5927\u5c0fs^inf\u4e58\u4ee5\u8fd9\u4e2a\u7528\u6237\u5728\u6700\u5927\u8054\u901a\u96c6\u56e2\u7684\u6982\u7387p(i,s^inf)\u3002\u5bf9\u4e8e\u968f\u673a\u7f51\u7edc\uff0cs^inf\u548cp(i,s^inf)\u90fd\u80fd\u591f\u901a\u8fc7\u7406\u8bba\u88ab\u7cbe\u786e\u5730\u63a8\u5bfc\u51fa\u6765\uff0c\u7531\u6b64\uff0c\u968f\u673a\u7f51\u7edc\u7684\u7528\u6237\u5f71\u54cd\u529b\u53ef\u4ee5\u7cbe\u786e\u5730\u83b7\u5f97\u3002<\/p>\n

\n


<\/p>\n


<\/p>\n

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

1.3 \u7528\u6237\u5f71\u54cd\u529b\u7684\u7b2c\u4e8c\u6b21\u8fd1\u4f3c<\/strong><\/span><\/p>\n

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


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

\u5bf9\u4e8e\u771f\u5b9e\u7684\u5728\u7ebf\u793e\u4ea4\u7f51\u7edc\uff0c\u7531\u4e8e\u5176\u7f51\u7edc\u7ed3\u6784\u6781\u5176\u590d\u6742\uff0c\u6211\u4eec\u65e0\u6cd5\u83b7\u5f97\u5176\u7406\u8bba\u7684\u5f71\u54cd\u529b\u3002\u4f46\u662f\uff0c\u57fa\u4e8e\u56fe1C\u7684\u53d1\u73b0\uff08\u5f71\u54cd\u529b\u5448\u53cc\u5cf0\u5206\u5e03\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u8fd0\u7528\u4e00\u4e2a\u53c2\u6570m\u6765\u533a\u5206\u8fd9\u4e24\u4e2a\u5cf0\u3002<\/strong>\u5177\u4f53\u6765\u8bf4\uff0c\u5f53\u7528\u6237i\u5728\u4e00\u6b21\u4f20\u64ad\u4fe1\u606f\u8fc7\u7a0b\u4e2d\uff0c\u4e00\u65e6\u5176\u5f71\u54cd\u5230\u7684\u4eba\u6570\u8d85\u8fc7m\u4e2a\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba4\u4e3a\u7528\u6237i\u5728\u8fd9\u6b21\u4fe1\u606f\u4f20\u64ad\u4e2d\u53ef\u4ee5\u4f20\u64ad\u5230\u6700\u5927\u8054\u901a\u96c6\u56e2\uff0c<\/strong>\u4ece\u800c\u63d0\u524d\u7ec8\u6b62\u8fd9\u6b21\u4fe1\u606f\u4f20\u64ad\u8fc7\u7a0b<\/strong>\uff08\u6781\u5927\u5730\u51cf\u5c11\u4e86\u8fd0\u7b97\u91cf\uff0c\u5c06O(N)\u51cf\u5c11\u5230O(m)\uff09\u3002<\/p>\n


<\/p>\n

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

\u56fe1 <\/span><\/strong>
<\/p>\n


<\/p>\n

\u56e0\u6b64\uff0c\u66f4\u8fd1\u4e00\u6b65\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u7528\u6237i\u7684\u5f71\u54cd\u529b\u7684\u7b2c\u4e8c\u6b21\u4f30\u8ba1\uff1a
<\/p>\n

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

\u5176\u4e2d\uff0c\"\u96c6\u667a\"\uff0c\"\u96c6\u667a\"\u867d\u7136\u516c\u5f0f4\u4e2d\u7684\u6bd4\u516c\u5f0f2\u4e2d\u7684p(i,s^inf)\u7565\u5927\uff0c\u4f46\u662f\u6211\u4eec\u53ef\u4ee5\u8bc1\u660e\uff0c\u8fd9\u4e2a\u8bef\u5dee\u5b8c\u5168\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002\u8fd9\u662f\u56e0\u4e3a\uff0c\u5982\u56fe1D\u6240\u793a\uff0cpf(i,s)\u6709\u4e00\u4e2a\u5feb\u901f\u4e0b\u964d\u7684\u5c3e\u5df4\u56e0\u6b64\u53ea\u8981m>=s\uff0cpf(i,s)\u5728m\u4e4b\u540e\u7684\u503c\u5c31\u975e\u5e38\u4e4b\u5c0f\uff0c\u5c31\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002<\/p>\n


<\/p>\n

\u5229\u7528\u771f\u5b9e\u7684Facebook\u548c\u5fae\u535a\u7684\u793e\u4ea4\u7f51\u7edc\u6570\u636e\uff0c\u5982\u56fe2A\u6240\u793a\uff0c\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\u65b9\u7a0b4\u5f97\u5230\u7684\u7528\u6237\u5f71\u54cd\u529b\u4f30\u8ba1\u503c\u4e0e\u65b9\u7a0b1\u5f97\u5230\u7684\u7528\u6237\u5f71\u54cd\u529b\u771f\u5b9e\u503c\u76f8\u5f53\u903c\u8fd1\u3002\u5e76\u4e14\uff0c\u5f53m\u53d6\u503c\u8d85\u8fc7s*\u65f6\uff0c\u4f8b\u5982m\u53d6100\u65f6\uff0c\u65b9\u7a0b4\u7684\u76f8\u5bf9\u8bef\u5dee\u53ef\u4ee5\u964d\u52300.01%\uff08\u56fe2B\uff09\u3002<\/p>\n


<\/p>\n

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

\u56fe2<\/strong><\/span><\/p>\n

\n


<\/p>\n

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

\n
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\n
\n
<\/section>\n
<\/section>\n
<\/section>\n
\n
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2. PBGA\u7b97\u6cd5<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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


<\/p>\n

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

2.1 PBGA\u7b97\u6cd5\u7684\u8fc7\u7a0b<\/strong><\/span><\/p>\n

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


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


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


<\/p>\n

\u901a\u8fc7\u4e0a\u8ff0\u7684\u7406\u8bba\u652f\u6301\uff0c\u6211\u4eec\u5df2\u7ecf\u53ef\u4ee5\u5feb\u901f\u5e76\u7cbe\u786e\u5730\u91cf\u5316\u67d0\u4e2a\u7528\u6237\u7684\u5f71\u54cd\u529b\u4e86\u3002\u73b0\u5728\uff0c\u6211\u4eec\u8fd0\u7528\u8fd9\u4e9b\u7406\u8bba\u6765\u89e3\u51b3\u7b2c\u4e8c\u4e2a\u95ee\u9898\uff1a\u5982\u4f55\u4ece\u7ed9\u5b9a\u7684L\u4e2a\u5019\u9009\u7528\u6237\u4e2d\u9009\u53d6\u6700\u597d\u7684M\u4e2a\u521d\u59cb\u4f20\u64ad\u7528\u6237\uff0c\u4f7f\u5f97\u5176\u5168\u5c40\u4f20\u64ad\u80fd\u529b\u6700\u5927\u3002<\/strong><\/p>\n


<\/p>\n

\u4e3a\u6b64\uff0c\u6211\u4eec\u63d0\u51fa\u57fa\u4e8e\u6e17\u6d41\u7406\u8bba\u7684\u8d2a\u5fc3\u7b97\u6cd5PBGA\uff08percolation-based greedy algorithm\uff09<\/strong>\u3002PBGA\u7b97\u6cd5\u662f\u5efa\u7acb\u5728\u539f\u6709\u7684\u8d2a\u5fc3\u7b97\u6cd5\u4e4b\u4e0a\u7684\u3002\u5177\u4f53\u6765\u8bf4\uff0cPBGA\u7b97\u6cd5\u5305\u542b\u4ee5\u4e0b\u4e09\u4e2a\u6b65\u9aa4\uff1a(1) \u6839\u636e\u65b9\u7a0b4\u7684\u5f97\u5230\u6bcf\u4e2a\u7528\u6237\u7684\u5f71\u54cd\u529b\uff0c\u627e\u5230\u5f71\u54cd\u529b\u6700\u5927\u7684\u7528\u6237v1\uff1b(2) \u56fa\u5b9av1\uff0c\u627e\u5230\u8fb9\u9645\u5f71\u54cd\u529b\u6700\u5927\u7684\u7528\u6237v2\uff1b(3) \u91cd\u590d\u6b65\u9aa4(2)\uff0c\u6bcf\u6b21\u627e\u8fb9\u9645\u5f71\u54cd\u529b\u6700\u5927\u7684\u7528\u6237\uff0c\u76f4\u5230\u627e\u5230M\u4e2a\u7528\u6237\u3002<\/p>\n

\n


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<\/p>\n

\n
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\n
<\/p>\n

2.2 PBGA\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6<\/strong><\/span><\/p>\n

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


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

\u5f88\u663e\u7136\uff0cPBGA\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u4e0e\u7f51\u7edc\u89c4\u6a21\u65e0\u5173\u7684<\/strong>\uff0c\u8fd9\u662f\u56e0\u4e3a\u5728\u8fd0\u7528\u65b9\u7a0b4\u4f30\u8ba1\u67d0\u4e00\u7528\u6237\u7684\u5f71\u54cd\u529b\u6240\u9700\u8981\u7684\u65f6\u95f4\u662f\u5e38\u6570\u7684\u3002<\/p>\n


<\/p>\n

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

\u56fe3<\/span><\/strong><\/span>
<\/p>\n


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

\u800c\u4f20\u7edf\u7684\u8d2a\u5fc3\u7b97\u6cd5\u5728\u4f30\u8ba1\u67d0\u4e00\u7528\u6237\u7684\u5f71\u54cd\u529b\u6240\u9700\u8981\u7684\u65f6\u95f4\u4e0e\u7f51\u7edc\u89c4\u6a21\u6210\u6b63\u6bd4\uff08\u65b9\u7a0b1\uff09\u3002\u5982\u56fe3\u6240\u793a\uff0c\u5b9e\u9a8c\u7ed3\u679c\u4e5f\u9a8c\u8bc1\u4e86PBGA\u7b97\u6cd5\u5177\u6709\u5e38\u6570\u9879\u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u5176\u4e2d\u5de6\u56fe\u662f\u968f\u673a\u7f51\u7edc\u7684\u7ed3\u679c\uff0c\u53f3\u56fe\u662f\u771f\u5b9e\u7f51\u7edc\u7684\u7ed3\u679c\u3002\u7279\u522b\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5982\u679c\u7528\u4f20\u7edf\u7684\u8d2a\u5fc3\u7b97\u6cd5NGA\u5728\u5168\u7f51\u7684Twitter\u6216\u8005Facebook\u7f51\u7edc\u4e2d\u5bfb\u627e\u5f71\u54cd\u529b\u6700\u5927\u7684M\u4e2a\u7528\u6237\uff0c\u5176\u6240\u9700\u8981\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f10^14~10^16\u91cf\u7ea7\u7684\uff0c\u800c\u8fd0\u7528\u6211\u4eec\u7684PBGA\u7b97\u6cd5\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5374\u4e0e\u4efb\u4f55\u4e00\u4e2a\u5c0f\u7f51\u7edc\u76f8\u5dee\u65e0\u51e0\uff0c\u53ea\u9700\u898110^5\u5de6\u53f3\u7684\u65f6\u95f4<\/strong>\u3002<\/span><\/p>\n

\n


<\/p>\n


<\/p>\n

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

2.3 PBGA\u7b97\u6cd5\u7684\u6027\u80fd<\/strong><\/span><\/p>\n

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


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

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

\u56fe4<\/span><\/strong><\/span>
<\/p>\n


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

PBGA\u7b97\u6cd5\u7684\u6027\u80fd\u53ef\u4ee5\u7531\u56fe4\u5f97\u5230\u8bf4\u660e\u3002\u53ef\u4ee5\u770b\u51faPBGA\u7b97\u6cd5\u4e0e\u4f20\u7edf\u7684\u8d2a\u5fc3\u7b97\u6cd5NGA\u3001\u9057\u4f20\u7b97\u6cd5GA\u90fd\u662f\u6700\u597d\u7684\uff0c\u6240\u627e\u5230\u7684M\u4e2a\u7528\u6237\u7684\u5f71\u54cd\u529b\u90fd\u662f\u6700\u5927\u7684\uff0c\u4f46\u662fNGA\u3001GA\u7684\u7b97\u6cd5\u590d\u6742\u5ea6\u90fd\u662f\u4e0e\u7f51\u7edc\u89c4\u6a21\u6210\u6b63\u6bd4\u7684\u3002\u5e76\u4e14\uff0c\u5728\u9009\u53d6\u7684\u7528\u6237\u6570\u91cfM\u503c\u6bd4\u8f83\u5c0f\u7684\u65f6\u5019\uff0c\u6211\u4eec\u53d1\u73b0PBGA\u7b97\u6cd5\u7684\u7ed3\u679c\u4e0e\u66b4\u529b\u7b97\u6cd5\uff08brute-force\uff09\u6548\u679c\u5b8c\u5168\u4e00\u81f4\u3002<\/span><\/p>\n

\n


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<\/p>\n

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

2.4 PBGA\u7b97\u6cd5\u7684\u6269\u5c55\u80fd\u529b<\/strong><\/span><\/p>\n

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


<\/p>\n

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

\u56fe5\uff08\u539f\u6587\u56fe4D<\/span><\/strong><\/span>\uff09
<\/p>\n


<\/p>\n

\u540c\u65f6\uff0c\u6211\u4eec\u4e5f\u901a\u8fc7\u5b9e\u9a8c\u8bc1\u660e\u4e86\uff0c\u5982\u56fe5\u6240\u793a\uff0cPBGA\u7b97\u6cd5\u5728\u67d0\u4e2a\u4f20\u64ad\u6982\u7387beta0\u4e0b\u9009\u53d6\u7684M\u4e2a\u7528\u6237\uff0c\u5176\u5728\u5176\u4ed6\u7684\u4f20\u64ad\u6982\u7387beta\u4e0b\u7684\u5f71\u54cd\u529b\u4ecd\u7136\u975e\u5e38\u5927\u3002\u8fd9\u8bf4\u660e\uff0c\u6211\u4eec\u7684\u7b97\u6cd5\u5e76\u4e0d\u9700\u8981\u5207\u786e\u5730\u77e5\u9053\u67d0\u6b21\u4fe1\u606f\u4f20\u64ad\u7684\u771f\u5b9e\u4f20\u64ad\u6982\u7387beta\u5c31\u80fd\u591f\u9009\u53d6\u5230\u5f71\u54cd\u529b\u5f88\u9ad8\u7684M\u4e2a\u7528\u6237\u3002\u8fd9\u5728\u73b0\u5b9e\u5e94\u7528\u4e2d\u975e\u5e38\u5173\u952e\uff0c\u56e0\u4e3a\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u53ef\u80fd\u9700\u8981\u5728\u4f20\u64ad\u521a\u5f00\u59cb\u7684\u65f6\u5019\u5c31\u627e\u5230\u5f71\u54cd\u529b\u6700\u5927\u7684M\u4e2a\u7528\u6237\uff08\u6295\u653e\u5e7f\u544a\u7b49\uff09\uff0c\u8fd9\u4e2a\u65f6\u5019\u4f20\u64ad\u6982\u7387beta\u53ef\u80fd\u8fd8\u672a\u77e5\u3002<\/span><\/p>\n

\n


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<\/p>\n

\n
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\n
\n
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<\/section>\n
<\/section>\n
\n
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3. PBGA\u7b97\u6cd5\u7684\u5e94\u7528<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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


<\/p>\n


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

PBGA\u7b97\u6cd5\u53ef\u4ee5\u8fd0\u7528\u5230\u4efb\u610f\u4e00\u4e2a\u793e\u4ea4\u7f51\u7edc\u4e2d\uff0c\u6765\u7cbe\u786e\u5feb\u901f\u91cf\u5316\u4e00\u4e2a\u7528\u6237\u7684\u5f71\u54cd\u529b\uff0c\u83b7\u53d6\u5f71\u54cd\u529b\u6700\u5927\u7684\u4e2a\u4f53\u6216\u7fa4\u4f53\u3002\u4e3e\u4e86\u4e2a\u76f4\u89c2\u7684\u4f8b\u5b50\uff0c\u7535\u5546\u5e73\u53f0\u4e0a\u7684\u5c0f\u5546\u5bb6\u5e76\u6ca1\u6709\u8fc7\u591a\u8d44\u91d1\u505a\u5e7f\u544a\uff0c\u4f46\u662f\u4e3a\u4e86\u63a8\u9500\u81ea\u5df1\u7684\u4ea7\u54c1\uff0c\u4ed6\u53ef\u4ee5\u901a\u8fc7PBGA\u7b97\u6cd5\u5bfb\u627e\u5fae\u535a\u6216\u8005\u5fae\u4fe1\u670b\u53cb\u4e2d\u54ea\u4e9b\u4eba\u7684\u5f71\u54cd\u529b\u6700\u5927\uff0c\u5373\u6d88\u606f\u7684\u8f6c\u53d1\u91cf\u548c\u9605\u8bfb\u91cf\u6700\u9ad8\u3002\u7136\u540e\uff0c\u4ed6\u53ef\u4ee5\u5c06\u63a8\u9500\u4fe1\u606f\u53d1\u9001\u7ed9\u8fd9\u4e9b\u4eba\uff0c\u518d\u7531\u8fd9\u4e9b\u4eba\u8fdb\u884c\u8f6c\u53d1\uff0c\u6700\u7ec8\u8fbe\u5230\u5e7f\u800c\u544a\u4e4b\u7684\u76ee\u7684\u3002
<\/p>\n


<\/p>\n

\u800c\u4f5c\u4e3a\u4e00\u79cd\u66f4\u5e7f\u6cdb\u7684\u5e94\u7528\uff0cPBGA\u7b97\u6cd5\u4e5f\u53ef\u4ee5\u5728\u5e94\u7528\u5c42\u9762\u8ba1\u7b97\u6240\u6709\u4e0e\u4f20\u64ad\u6709\u5173\u7684\u5185\u5bb9<\/strong>\u3002\u4f8b\u5982\u5728\u6d41\u611f\u7684\u4f20\u64ad\u4e2d\uff0cPBGA\u7b97\u6cd5\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5bfb\u627e\u4f20\u64ad\u80fd\u6bd4\u8f83\u5f3a\u7684\u611f\u67d3\u8005\u8fdb\u884c\u53ca\u65f6\u963b\u65ad\uff0c\u964d\u4f4e\u75c5\u6bd2\u7684\u4f20\u64ad\u3002<\/p>\n


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<\/p>\n

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\u4f5c\u8005\uff1a\u7eaa\u5723\u5868<\/span><\/p>\n

\u7f16\u8f91\uff1a\u738b\u6021\u853a<\/span><\/p>\n<\/blockquote>\n<\/section>\n

\n


<\/p>\n


<\/p>\n

\n
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<\/p>\n

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

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


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

\u4eba\u7c7b\u6d41\u52a8\u7684\u5efa\u6a21\u53ca\u5176\u5e94\u7528<\/span><\/a>
<\/p>\n

\u4e00\u6587\u8bfb\u61c2\u590d\u6742\u7f51\u7edc\u4e0e\u7fa4\u4f53\u667a\u6167<\/span><\/a>
<\/p>\n

\u7f51\u7edc\u79d1\u5b6620\u5e74<\/span><\/a>
<\/p>\n

\u5c0f\u4e16\u754c\u7f51\u7edc\u4e4b\u7236\u7ecf\u5178\u56de\u987e<\/span><\/a>
<\/p>\n

\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/span><\/a>
<\/p>\n


<\/p>\n

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<\/p>\n

\u6d3b\u52a8\u9884\u544a<\/strong><\/span><\/p>\n

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


<\/p>\n

\u516c\u5f00\u6d3b\u52a8\uff1aPython \u8fc7\u65f6\u4e86\uff1f\u548c C \u4e00\u6837\u5feb\u7684\u79d1\u5b66\u8ba1\u7b97\u8bed\u8a00 Julia \u4e86\u89e3\u4e00\u4e0b\uff01<\/strong><\/a><\/p>\n


<\/p>\n

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


<\/p>\n

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


<\/p>\n

\n
\n
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\u96c6\u667aQQ\u7fa4\uff5c292641157<\/span><\/strong><\/p>\n

\u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org
<\/span><\/strong><\/p>\n

\n

\u25c6 <\/span>\u25c6 <\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n

\u641c\u7d22\u516c\u4f17\u53f7\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/p>\n


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

\u52a0\u5165\u201c\u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240\u201d<\/span><\/strong><\/span><\/p>\n

\n

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

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

\u6765\u6e90\uff1aDmitrii Kharchenko \u5bfc\u8bed\uff1a \u73b0\u4ee3\u5728\u7ebf\u793e\u4ea4\u7f51\u7edc\u89c4\u6a21\u5de8\u5927\uff08\u5fae\u4fe1\u3001\u5fae\u535a\u3001Facebook\u7b49\u7684\u7528\u6237\u6570\u5df2\u8d85\u8fc7\u5341\u4ebf\u91cf\u7ea7\uff09\uff0c\u5728\u5982\u6b64\u5de8\u5927\u7684\u7f51\u7edc\u4e2d\u5982\u4f55\u7cbe\u786e\u5e76\u5feb\u901f\u5730\u91cf\u5316\u67d0\u4e00\u7528\u6237\u5728\u6574\u4e2a\u7f51\u7edc\u4e2d\u7684\u5f71\u54cd\u529b\uff0c\u8fdb\u800c\u627e\u5230\u6700\u6709\u5f71\u54cd\u529b\u7684\u4e2a\u4f53\u6216\u7fa4\u4f53\uff0c\u6210\u4e3a\u4e00\u4e2a\u6781\u5177\u6311\u6218\u6027\u7684\u95ee\u9898\u3002 \u8fd1\u671f\u7531\u4e2d\u5c71\u5927\u5b66\u80e1\u5ef6\u5e86\u8001\u5e08\u3001\u897f\u5357\u4ea4\u5927\u7eaa\u5723…<\/p>\n","protected":false},"author":1,"featured_media":434,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[18],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/433"}],"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"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=433"}],"version-history":[{"count":1,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/433\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/433\/revisions\/456"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/434"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=433"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}